What is the value of log 7 343?–3 -1/3 1/3 3

Answers

Answer 1

Answer: 3

Step-by-step explanation:

Given :

[tex]Log_{7}[/tex] 343

We need to write 343 in index form of 7.

343 is the same as [tex]7^{3}[/tex] , replacing 343 with [tex]7^{3}[/tex] , we have

[tex]Log_{7}[/tex] [tex]7^{3}[/tex]

Recall one on the law of Logarithm :

[tex]Log_{a}[/tex][tex]b^{c}[/tex] can be written as c [tex]Log_{a}[/tex]b

So, [tex]Log_{7}[/tex] [tex]7^{3}[/tex] can be written as ;

3[tex]Log_{7}[/tex] 7

Also from the laws of Logarithms , [tex]Log_{a}[/tex] a = 1

so , Log_{7}[/tex] 7 = 1

The solution then becomes

3 x 1 = 3

Therefore :

[tex]Log_{7}[/tex] 343 = 3


Related Questions

Find the area of the trapezoid by decomposing it into other shapes. A) 56 cm2 B) 60 cm2 C) 64 cm2 D) 72 cm2 Eli

Answers

Answer:

Option C. [tex]64\ cm^2[/tex]

Step-by-step explanation:

see the attached figure N 1 to better understand the problem

we know that

The trapezoid can be decomposed into two right triangles and a rectangle

see the attached figure N 2

so

The area of the trapezoid is equal to the area of two right triangles and one rectangle

The area of trapezoid is equal to

[tex]A=\frac{1}{2}(5)(4)+(12)(4)+\frac{1}{2}(3)(4)[/tex]

[tex]A=10+48+6[/tex]

[tex]A=64\ cm^2[/tex]

If a single point satisfies the equations of two lines, the point is on both lines?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes. This is called a solution of the equations and is the intersection point.

Solve: 2(4x - 6) = 6x - 4 A) 4 Eliminate B) 8 C) -4 D) no solution

Answers

Answer:

x = 4

A

Step-by-step explanation:

2(4x - 6) = 6x - 4

8x -12 = 6x - 4

8x - 8 = 6x

8x = 6x + 8

2x = 8

x = 4

Hope this helps :)


25. Paulo's family arrived at the reunion at
8:30 A.M. How long do they have before
the trip to Scenic Lake Park?
DATA
Trip to Scenic
Lake Park
10:15 A.M. to 2:30 P.M.
Slide show
4:15 P.m. to 5:10 P.M.campfire 7;55p.m.to 9;30p.m
26. How much longer is dinner than the

Answers

25 states,  Paulo's family arrived at the reunion at

8:30 A.M. How long do they have before

the trip to Scenic Lake Park?

So the question asks how long it takes.

8:30AM to 10:15AM would be a 1:15 hour difference. This would be the answer to #25.

Let me know if you have any extra questions.

25 states,  Paulo's family arrived at the reunion at

8:30 A.M. How long do they have before

th

Step-by-step explanation:

Isaac purchased a house for $179,300,00. Every year, Isaac makes improvements so that the value of the house goes up by 4%.
Which of the following equations can be used to determine the number of years after purchase, that the value of Isaac's house will
be equal to 5197.230.002

Answers

Answer:

The number of years in which house value goes up is 145 years .

Step-by-step explanation:

Given as :

The initial purchased value of the house = p = $179,300,00

The value of house goes up every years at the rate = r = 4%

Let The number of years in which house value goes up = t  years

The value of the house after t years = $A = $5197,230,002

Now, According to question

The value of the house after t years = The initial purchased value of the house × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

I.e A = $p × [tex](1+\dfrac{\textrm r}{100})^{\textrm t}[/tex]

Or,$5197,230,002 = $17930000 × [tex](1+\dfrac{\textrm 4}{100})^{\textrm t}[/tex]

Or, [tex]\dfrac{5197,230,002}{179,300,00}[/tex] = [tex](1+\dfrac{\textrm 4}{100})^{\textrm t}[/tex]

Or, 289.86 = [tex](1.04)^{t}[/tex]

Now, taking Log both side

So, [tex]Log_{10}[/tex]289.86 = [tex]Log_{10}[/tex] [tex](1.04)^{t}[/tex]

or, 2.462 = t ×  [tex]Log_{10}1.04

or, 2.462 = t × 0.01703

∴ t = [tex]\dfrac{2.462}{0.01703}[/tex]

I.e t = 144.56 ≈ 145

So, Number of years = t = 145 years

Hence The number of years in which house value goes up is 145 years . Answer

To determine the number of years it will take for the value of Isaac's house to reach $5,197,230.002 with an annual appreciation rate of 4%, use the compound interest formula. Solving for the number of years, the approximate result is 84 years.

Isaac purchased a house for $179,300. Every year, the value of the house increases by 4%. To determine the number of years after purchase that the value of Isaac's house will reach $5,197,230.002, we can use the formula for compound interest:

FV = PV × (1 + r)ⁿ

FV is the future value of the house, $5,197,230.002.PV is the present value or the initial value of the house, $179,300.r is the annual increase rate, 4% or 0.04.n is the number of years.

We need to solve for n in the equation:  

$5,197,230.002 = $179,300 × (1 + 0.04)ⁿ

First, isolate the exponential expression:

(1 + 0.04)ⁿ = $5,197,230.002 / $179,300(1.04)ⁿ ≈ 29

Next, apply the natural logarithm to both sides to solve for n:

ln[(1.04)n] = ln(29)n × ln(1.04) = ln(29)n = ln(29) / ln(1.04)n ≈ 83.95 years

So, the value of Isaac's house will reach $5,197,230.002 approximately 84 years after purchase.

Which decimals are rational numbers? Select all that apply
A. 72/100
B. π
C. 1 1/3
D. 8/526
E. 0.212212221...
F. 5/9

Answers

PLEASE MARK BRAINLIEST!

Answer:

Your answers are A, C, D, F

Step-by-step explanation:

Fractions are always rational.

A --> this is rational because it can be represented by a fraction.

B --> this is irrational because it cannot be represented by a fraction

C --> 1 1/3 is rational because it can be represented as a fraction

D --> 8/526 is rational because it can be represented as a fraction

E --> this is irrational because it cannot be represented by a fraction

F --> this is rational because it can be represented as a fraction

I hope this helps!

Final answer:

Rational numbers can be expressed as the ratio of two integers. From the list provided, the rational numbers are 72/100 (A), 1 1/3 (C), 8/526 (D), and 5/9 (F). The number π (B) is irrational, and it is unclear if 0.212212221... (E) is a repeating decimal, so it cannot be confirmed as rational without additional information.

Explanation:

Rational numbers are numbers that can be written as a fraction, where both the numerator and the denominator are integers and the denominator is not zero.

This includes both terminating and repeating decimals.

A. 72/100 is a rational number because it can be simplified to the fraction 18/25, which is a ratio of two integers.B. π (pi) is not a rational number because it is an irrational number; it cannot be expressed as a fraction of two integers.C. 1 1/3 is a rational number as it is equivalent to the fraction 4/3, a ratio of two integers.D. 8/526 is a rational number as it is already in fraction form with two integers.E. 0.212212221..., if this is a non-terminating, non-repeating decimal, it would be irrational; however, if the pattern repeats at some point, it would be rational. Since the pattern is not explicitly stated as repeating, we cannot assume it is rational.F. 5/9 is a rational number because it is a fraction that represents a ratio of two integers.

Thus, the rational numbers from the list provided are A, C, D, and F.

The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 101010 denarius per day to support 333 legionaries and 333 archers. It only costs 333 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables.

Can we solve for a unique cost for each soldier?

Answers

Answer:

The system cannot be solved by a unique cost for each soldier

Step-by-step explanation:

The correct question is

The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarius per day to support 3 legionaries and 3 archers. It only costs 3 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables.

Can we solve for a unique cost for each soldier?

Let

x-------> the cost of a legionary per day

y-------> the cost of an archer per day

we know that

[tex]3x+3y=10[/tex]

isolate the variable y

subtract 3x both sides

[tex]3y=10-3x[/tex]

Divide by 3 both sides

[tex]y=-x+\frac{10}{3}[/tex] ------> equation A

[tex]x+y=3[/tex]

isolate the variable y

subtract x both sides

[tex]y=-x+3[/tex] ------> equation B

Remember , If two lines are parallel, then their slopes are equal

In this problem Line A and Line B are parallel lines, because their slopes are equal.

we know that that the solution of the system of equations is the intersection point both graphs

If the lines are parallel, then the lines don't intersect

see the attached figure to better understand the problem

therefore

The system has no solutions (Is a inconsistent system)


Car Survey in a survey of 3,200 people who owned a certain type of car, 2,240 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer:

30%

Step-by-step explanation:

1.) subtract 3200 and 2240. Since you need to find the amount of people who were satisfied with the car.

2.) divide 960 and 3200. this is because you need to find the percent of people who were satisfied with the car.

Answer: 30%

The percentage satisfied with the purchase is 30%

The percentage who were satisfied can be calculated thus :

(Difference/ Number surveyed ) × 100%

Difference = 3200 - 2240 = 960

Now we have :

(960 / 3200) × 100%

= 0.3 × 100%

= 30%

Hence, percentage who were satisfied is 30%

P is the centroid of triangle ABC. AE = 21, CD = 14, and BF = 11. What is the length of AP?

Answers

Answer

[tex]AP=14[/tex]

Step by Step Explanation

1) Due to the Centroids Theorem we can say that:

AP=2/3AE

AP=2/3*21

∴AP=14

2) Finally, AE =AP+AE

21=14+7 ⇒21=21 True

AP =2PE verifies the Theorem too.

So, the size is 14 .

[tex]AP=14\:u[/tex]

A recipe for cookies calls for 2⁄3 of a cup of chocolate chips and 4 cups of flour. If you want to make a bigger batch, using 6 cups of flour, how many cups of chocolate chips will you need?

Answers

1 cup of chocolate chips. Use cross products. Make a fraction 2/3 over 4 and another fraction next to it x/6 and make a line to cross 2/3 and 6, multiply and then you have 4/4 which is equal to 1 cup of chocolate chips
4 * 1.5 = 6.

To find how many cups of chocolate chips you’ll need with 6 cups of flour, you need to multiply 2/3 by 1.5 so you have the same ratio with the cups of flour.

2/3 * 1.5 can be written as 2/3 * 3/2.

2/3 * 3/2 = 6/6 = 1

Using 6 cups of flour, you will need 1 cup of chocolate chips.

If 4 bushels of oats weigh 112 kg, how much do 8.5 bushels of oats weigh?

Answers

Answer: 8.5 bushels weighs 238kg.

Explanation: 112/4 = 28
Each bushel weighs 28kg.
28 x 8.5 = 238kg.

Maya has $2740 of play money
Emily has $3560 of play money. Maya gives some money to Emily. If Emily ends up with 4 times Maya amount. How much money does each girl has in the end

Answers

Answer:

Maya = $1260

Emily = $5040

Step-by-step explanation:

2740+3560 =6300

M + (4M) = 6300

5M=6300

M=6300/5

M=1260

E=5040

Maya has $1260, and Emily has $5040 in the end. Maya gives $1480 to Emily.

How the amount of money was calculated

Maya has $2740, and Emily has $3560.

We're looking for the amount Maya gives to Emily so that Emily ends up with 4 times as much as Maya.

Let M be the amount Maya gives to Emily.

Emily ends up with 4 times Maya's amount:

Emily's amount = 4 * Maya's amount

$3560 + M = 4 * ($2740 - 4M

Simplify:

$3560 + M = $10960 - 4M

$3560 + M + 4M = $10960

5M = $10960 - $3560

5M = $7400

Divide by 5 to solve for M:

M = $7400 / 5

M = $1480

So, Maya gives $1480 to Emily.

To find how much each girl has in the end:

Maya: $2740 - $1480 = $1260

Emily: $3560 + $1480 = $5040

Maya has $1260, and Emily has $5040 in the end.

Learn more about amount here

https://brainly.com/question/29636800

#SPJ3

Simplify the expression 6y to the 4th power+3y to the 4th power.

Answers

Answer:

6y^4 + 3y^4

1296y + 81y

1377y

Step-by-step explanation:

The circumference of the Astrodome in Houston, Texas is 2,230 ft. Find the area of the astrodome and explain how you did this using the words area, circumference and radius. (π = 3.14)

Answers

Answer:

The radius of Astrodome is 355.09 foot,

The Area of Astrodome is 395919.146 square foot .

Step-by-step explanation:

Given as :

The circumference of Astrodome = 2230 foot

∵ The circumference of circular shape = 2 × [tex]\pi[/tex] × radius

where  [tex]\pi[/tex] = 3.14

So, The circumference of Astrodome = 2 × [tex]\pi[/tex] × radius

Or, 2230 foot = 2 × 3.14 × radius

Or, 2230 foot = 6.28 × radius

∴ radius = [tex]\dfrac{2230}{6.28}[/tex]

I.e radius = 355.09 foot

Now,

∵The area of circular shape = [tex]\pi[/tex] × radius²

So, The area of Astrodome = [tex]\pi[/tex] × radius²

Or, The area of Astrodome = 3.14 × radius²

Put the value of radius = 355.09 foot

So , The area of Astrodome = 3.14 × (355.09)²

or, The area of Astrodome = 3.14 × 126088.9

∴  The area of Astrodome = 395919.146 square foot

Hence , The radius of Astrodome is 355.09 foot, and The Area of Astrodome is 395919.146 square foot . Answer

I don’t understand question 49 someone pls explain.

Answers

Answer:

Below in bold.

Step-by-step explanation:

a, That would be

m = 7 + 8(d - 1)    where m = the no. of minutes and d = the day number.

b.   On day 9  the number of minutes m =  7 + 8(9 - 1)

= 7 + 64

= 71.

which equation could represent the area of a square as a function of a side A: A(s)=2s B: A(s)=4s C: A(s)= s2

Answers

Answer:

[tex]A(s)=s^2[/tex]

Step-by-step explanation:

we know that

The square  is a regular polygon that has four right angles and four parallel and congruent sides.

The area of a square is equal to the length side squared

Let

s ----> the length side of the square

we have that

[tex]A(s)=s^2[/tex]

What is the equation of the line in slope-intercept form?

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]y=\dfrac{3}{5}x+3[/tex]

Step-by-step explanation:

From the given graph it is clear that the graph passes through the points (0,3) and (-5,0).

It a line passes through wo points then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The equation of given line is

[tex]y-3=\dfrac{0-3}{-5-0}(x-0)[/tex]

Add 3 on both sides.

[tex]y=\dfrac{-3}{-5}x+3[/tex]

[tex]y=\dfrac{3}{5}x+3[/tex]

Therefore, the required equation is [tex]y=\dfrac{3}{5}x+3[/tex].

Teresa stated that the heights of the students in her class were not a function of their ages. Which reasoning could justify Teresa’s statement?

Answers

Given age, one can not determine the height. In another words, students with same age may have different height

Answer: Two students are the same age but have different heights.

Plz I need help with geometry homework FIND THE ANGLES

Answers

Answer:

a = 36°b = 36°c = 72°d = 72°e = 108°f = 16°g = 74°h = 70°

Step-by-step explanation:

You are expected to know and make use of the following relations:

vertical angles are congruentangles of a linear pair are supplementaryangles of a triangle sum to 180°alternate interior angles are congruent (at parallel lines)corresponding angles are congruent (at parallel lines)acute angles of a right triangle are complementarybase angles of an isosceles triangle are congruent

__

For this problem, it isn't always easiest to work the questions in order. It is best to start with the angles easiest to find from those given.

  b and 144° are a linear pair, so b = 180° -144° = 36°

  a and b are alternate interior angles, so a = b = 36°

  2d and 144° are corresponding angles, so d = 144°/2 = 72°

  e is the apex angle of an isosceles triangle with base angles 36°, so is 180° -2(36°) = 108° = e

  f and 164° are a linear pair, so f = 180° -164° = 16°

  g and f are complementary, so g = 90° -16° = 74°

  g+h is a vertical angle with 144°, so is congruent to that. h = 144° -74° = 70°

  c is the base angle of an isosceles triangle with b as the vertex angle. That means c = (180° -36°)/2 = 72°

Write a fraction greater than 1 for the parts that are shaded. + a mixed #. Please I need an answer for all of them




Answers

Answer:

2. 7/4 and 1  3/4

3. 5/3 and 1 2/3

4. 14/5 and 2 4/5

5.  21/6 and 3 3/6 (Lowest terms=3  1/2)

6. 20/8 and 2 4/8 (lowest terms= 2 1/2)

Hope it helped!!

Please help me!! I have been stuck for hours

Answers

Answer:

The optimum price to sell the app is $2.55

Step-by-step explanation:

Modeling With Functions

The equation of the demand for the app store is given by

U=10000-2000P

Where U is the number of units sold and P is the price for each unit.

a.

The money from sales (Revenue) is U times the price of each unit, so

[tex]S=U.P[/tex]

Using the equation above

[tex]S=(10000-2000P).P=10000P-2000P^2[/tex]

b. The upfront costs function is given by

[tex]C=2000+0.1U[/tex]

Again, we use the equation for U

[tex]C=2000+0.1(10000-2000P)[/tex]

[tex]C=2000+1000-200P[/tex]

[tex]C=3000-200P[/tex]

c.

The profit is the sales minus the cost

[tex]Profic=S-C=10000P-2000P^2-(3000-200P)[/tex]

[tex]Profit=10000P-2000P^2-3000+200P[/tex]

[tex]Profit=-2000P^2+10200P-3000[/tex]

d.

The vertex of a quadratic function shown as

[tex]f(x)=ax^2+bx+c[/tex]

has an x-coordinate equal to

[tex]\displaystyle x=-\frac{b}{2a}[/tex]

The optimum price for selling the app can be found in the vertex of the above equation.

The P-coordinate of the vertex is given by

[tex]\displaystyle x=-\frac{10200}{-4000}=2.55[/tex]

The optimum price to sell the app is $2.55

The price of a certain stock fell $2 each day for 4 consecutive days. Write an expression that you could use to find the change in the stock’s price after 4 days. Suppose the original price of the stock was $41. What was the price of the stock after 4 days?

Answers

Answer:

35

Step-by-step explanation:

[tex]d=-2\\n=4\\a_4=a_1+3d\\if\; a_1=41\; then\; a_4=41+3\times(-2)=41-6=35[/tex]

At a local food store a child stole $500 from the shopkeeper's cash register to purchase goods in the store. The items the child purchased total $350 which he paid using the money he stole and received change of $150. How much money in total did the shopkeeper lose

Answers

Answer:

$650

Step-by-step explanation:

the child stole $500 then the shopkeeper gave him change of $150 that equals to the amount of money the shopkeeper lost.

working....

$500+$150=$600

Final answer:

The shopkeeper lost a total of $500 due to the child stealing $500, buying items worth $350, and receiving $150 in change.

Explanation:

The question involves determining the total amount of money the shopkeeper lost due to a theft. When the child stole $500 from the cash register and then used some of this money to buy items worth $350, the shopkeeper effectively lost that amount due to the child not legitimately paying for the goods. Furthermore, the child received $150 in change when they used the stolen money to pay for the items. Therefore, the total money lost by the shopkeeper is the sum of the cost of the goods taken and the change given out, which amounts to $350 + $150, equating to a total loss of $500.

What is the equation of a line that contains the points (5.0) and (5,-2)?
x = 5
x = 0
y=0
y = 5

Answers

Answer:

C) y=0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-0)/(5-5)

m=-2/0

m=0

y-y1=m(x-x1)

y-0=0(x-5)

y-0=0

y=0+0

y=0

Answer:

x=5

Step-by-step explanation:

a

find the unit cost of each of the following to determine which is the better value: 8 CDs for $56.99 or 3 CDs for $22.99​

Answers

Answer:

8 CD's for $56.99 is better value than 3 CD's for $22.99.

Step-by-step explanation:

We are given that,

Cost of 8 CD's is $56.99 and cost of 3 CD's is $22.99.

Now, to determine which is the better value, we will find the cost of 1 CD in both the cases. The case which will give cost per CD less will represent the better value.

CASE 1 :

Cost of 8 CD's = $ 56.99

So, cost of 1 CD = $ 56.99 ÷ 8 = $ 7.12  (approx.)

CASE 2 :

Cost of 3 CD's = $ 22.99

∴ Cost of 1 CD = $ 22.99 ÷ 3 = $ 7.66 (Approx.)

So, the CD's are available in cheaper rates in the first case in comparison to second case.

So, 8 CD's for $56.99 is better value than 3 CD's for $22.99.

Answer:

The unit cost of 8 CDs for $56.99 is $7.12 and the unit cost of 3 CDs for $22.99 is $7.66.

And the better value is of 8 CDs for $56.99.

Step-by-step explanation:

Given:

8 CDs for $56.99 or 3 CDs for $22.99.

Now, to find the unit cost to determine which is better value.

By using unitary method we find it:

So, to get the unit cost of 8 CDs for $56.99:

If 8 CDs cost $56.99.

Then, 1 CD cost = [tex]56.99\div 8=\$7.12.[/tex]

Thus, the unit cost = $7.12.

Now, to get the unit cost of 3 CDs for $22.99:

If 3 CDs cost $22.99.

Then, 1 CD cost = [tex]22.99\div 3=\$7.66.[/tex]

Thus, the unit cost = $7.66.

Now, on comparing we determine the better value is of 8 CDs for $56.99.

Therefore, the unit cost of 8 CDs for $56.99 is $7.12 and the unit cost of 3 CDs for $22.99 is $7.66.

And the better value is of 8 CDs for $56.99.

A trapezoid has a set of parallel bases with lengths 3 inches and 5 inches and a height of 8 inches. What is the area of the trapezoid? Type a numerical answer in the space provided. Do not include units or spaces in your answers.

Answers

Answer:

The area \(A\) of a trapezoid can be calculated using the formula:

\[ A = \frac{1}{2} \times (b_1 + b_2) \times h \]

where \(b_1\) and \(b_2\) are the lengths of the parallel bases, and \(h\) is the height.

For this trapezoid:

- \(b_1 = 3\) inches

- \(b_2 = 5\) inches

- \(h = 8\) inches

Plugging in the values:

\[ A = \frac{1}{2} \times (3 + 5) \times 8 \]

\[ A = \frac{1}{2} \times 8 \times 8 \]

\[ A = \frac{1}{2} \times 64 \]

\[ A = 32 \]

The area of the trapezoid is 32.

Each cube in this rectangular prism is 1 cm3.What is the volume of the rectangular prism?

A.40 cm3

B.20 cm3

C.48 cm3

D.9 cm3

Answers

The volume of the rectangular prism is b. 20 cubic cm

What is the volume of the rectangular prism?

From the question, we have the following parameters that can be used in our computation:

the rectangular prism

Where, we have

Length = 2

Height = 2

Width = 5

The volume of the rectangular prism is the product of the dimensions

So, we have

Volume = 2 * 2 * 5

Volume = 20 cubic cm

Hence, the volume of the rectangular prism is b. 20 cubic cm

a computer costs 400 dollars. Its 20 percent off with an additional 5 percent off, there's no sales tax. How much does the computer cost now?

Answers

The computer costs $304 now.

Step-by-step explanation:

Given,

Cost of computer = $400

First discount = 20%

Amount of discount = 20% of $400

Amount of discount = [tex]\frac{20}{100}*400=\frac{8000}{100}[/tex]

Amount of discount = $80

Price after first discount = 400-80 = $320

Additional discount = 5%

Amount of additional discount = 5% of price after first discount

Amount of additional discount = [tex]\frac{5}{100}*320=\frac{1600}{100}[/tex]

Amount of additional discount = $16

Final cost = 320-16 = $304

The computer costs $304 now.

Keywords: discount, subtraction

Learn more about subtraction at:

brainly.com/question/10435816brainly.com/question/10435836

#LearnwithBrainly

1. Find the missing side length.


Can someone please help??? I'll give extra points!!
And mark as brainliest. PLEASEEEE!!!

Answers

Answer:

Therefore the missing length is AC = 24.46 units

Step-by-step explanation:

Consider a Δ ABC with

∠ B = 43°

AB = c = 18

BC = a = 8

To Find:

AC = c = ?

Solution:

We know in a Triangle Cosine Rule Says that,

[tex]b^{2} =c^{2}+ a^{2}-2\times a\times c\times \cos B[/tex]

Substituting the given values in above formula we get

[tex]b^{2} =18^{2}+ 8^{2}-2\times 8\times 18\times \cos 43\\\\b^{2} =324+64+288\times 0.7313\\\\b^{2} =598.6144\\\\Squaare\ Rooting\\\therefore b = 24.46\ units[/tex]

Therefore the missing length is AC = 24.46 units

Answer:

13.32

Step-by-step explanation:

if the missing side length is b,

1.)  b^2 = 18^2 + 8^2 - 2(8)(18)(cos43)

2.)  b^2 = 177.3701

then take square root of 177.3701

3.)  √(b^2) = √(177.3701)

4.)  b = 13.32

see ya have a good day

Which system is equivalent to
{y=-2x2
y=x-2}

Answers

Answer:

OPTION C: y = -2y² - 8y - 8

                    x = y + 2

Step-by-step explanation:

The given equations are:

[tex]$ y = -2x^2 \hspace{20mm} \hdots (1) $[/tex]

[tex]$ y = x - 2 \hspace{20mm} \hdots (2) $[/tex]

From Equation (2), we get:

x = y + 2

Substituting this value of x in Equation (1), we get:

y = -2(y + 2)²

Expanding it in [tex]$ (a + b)^2  = a^2 + 2ab + b^2 $[/tex], we get:

y = -2{y² + 4y + 4}

y = - 2y² - 8y - 8

Therefore, OPTION C is the answer.

Answer: C on edge 2022

Step-by-step explanation:

if wrong i’m gay and Bidens a good president *they almost all suck anyways*

Other Questions
A damped harmonic oscillator consists of a block of mass 2.5 kg attached to a spring with spring constant 10 N/m to which is applied a damping force (in Newtons) of the form F = 0.1v, with v the velocity in m/s. The spring is stretched a distance xm and released. After four complete oscillations, what fraction of the mechanical energy is retained by the system? What is the length of the hypotenuse in the 30-60-90 triangle shown below ? The most practical definition for an urban area isa. the central city and its surrounding suburbs. b. the economic influence of the central city. c.the central city and the continuously developed areas. d. the central city and the land area inside the adjacent counties. e. the central city and its neighboring municipalities.All of the following are typical site and/or situational characteristics for the establishment of a settlement except a.the high point overlooking a river or plain. b. the middle of a plain. c .at the convergence of two rivers. d. the mouth of a river. e. on the shores of a natural harbor.Which of the following is not a primary hearth of urbanization?A. Mesopotamiab. B. The Huang Hec.C. The Indus River Valleyd. D. Ancient Romee. E. The Mayans The earliest cities primarily focused on which of the following activities? A. Livestock HerdingB. ManufacturingC. FarmingD. Servicese. What is the best summary of the Prophet's perspective on giving?A)both the rich and the poor should give of themselvesB)giving is only important under certain circumstancesC)those who have little shouldn't worry so much about giving to othersD)those who have a lot of things should give many of them away to those in need PLEASE HELP ASAP! 40 POINTS!!!Read the excerpt from The Miracle Worker by William Gibson. ([ANNIE] is interrupted by a gasp: HELEN has stuck her finger and sits sucking at it, darkly. Then with vengeful resolve she seizes her doll and is about to dash its brains out on the floor when ANNIE, diving, catches it in one hand, which she at once shakes with hopping pain but otherwise ignores, patiently.) All right, lets try temperance. (Taking the doll, she kneels, goes through the motion of knocking its head on the floor, spells into HELENS hand.) Bad, girl. (She lets HELEN feel the grieved expression on her face. HELEN imitates it. Next she makes HELEN caress the doll and kiss the hurt spot and hold it gently in her arms, then spells into her hand.) Good, girl. (She lets HELEN feel the smile on her face. HELEN sits with a scowl, which suddenly clears; she pats the doll, kisses it, wreathes her face in a large artificial smile, and bears the doll to the washstand, where she carefully sits it. ANNIE watches, pleased.) Very good girl - (Whereupon HELEN elevates the pitcher and dashes it on the floor instead. ANNIE leaps to her feet and stands inarticulate; HELEN calmly gropes back to the sewing card and needle. ANNIE manages to achieve self-control. She picks up a fragment or two of the pitcher, sees HELEN is puzzling over the card, and resolutely kneels to demonstrate it again. She spells into HELENS hand. Select the excerpt from The Story of My Life by Helen Keller that shows a different perspective of similar events. A.The morning after my teacher came she led me into her room and gave me a doll. The little blind children at the Perkins Institution had sent it and Laura Bridgman had dressed it; but I did not know this until afterward. When I had played with it a little while, Miss Sullivan slowly spelled into my hand the word "d-o-l-l." I was at once interested in this finger play and tried to imitate it. When I finally succeeded in making the letters correctly I was flushed with childish pleasure and pride. Running downstairs to my mother I held up my hand and made the letters for doll.B. As the cool stream gushed over one hand she spelled into the other the word water, first slowly, then rapidly. I stood still, my whole attention fixed upon the motions of her fingers. Suddenly I felt a misty consciousness as of something forgottena thrill of returning thought; and somehow the mystery of language was revealed to me. I knew then that "w-a-t-e-r" meant the wonderful cool something that was flowing over my hand. That living word awakened my soul, gave it light, hope, joy, set it free! There were barriers still, it is true, but barriers that could in time be swept away. C. A bright idea, however, shot into my mind, and the problem was solved. I tumbled off the seat and searched under it until I found my aunt's cape, which was trimmed with large beads. I pulled two beads off and indicated to her that I wanted her to sew them on my doll. She raised my hand to her eyes in a questioning way, and I nodded energetically. The beads were sewed in the right place and I could not contain myself for joy; but immediately I lost all interest in the doll. D. Earlier in the day we had had a tussle over the words "m-u-g" and "w-a-t-e-r." Miss Sullivan had tried to impress it upon me that "m-u-g" is mug and that "w-a-t-e-r" is water, but I persisted in confounding the two. In despair she had dropped the subject for the time, only to renew it at the first opportunity. I became impatient at her repeated attempts and, seizing the new doll, I dashed it upon the floor. I was keenly delighted when I felt the fragments of the broken doll at my feet...I felt my teacher sweep the fragments to one side of the hearth, and I had a sense of satisfaction that the cause of my discomfort was removed. at what point in a titration curve is the concentration of the analyte equal to the titrant? Philip ran a sprint of two hundred feet in twenty-two seconds. At what speed was Philip running in miles per hour? (1 mile = 5280 feet). Round to the nearest tenth The wars of Louis XIV:_____a. were fought to eradicate the Huguenots and Jansenists. b. allowed Louis to construct his palace at Versailles. c. led to the defeat of Spain in the War of the Spanish Succession. d. were an enormous drain on the treasury of France. e. were enormously successful and extended French power throughout Europe. 1.When HCl(aq) and NaOH(aq) are mixed in a beaker, the beaker feels warm to the touch. What is known about the enthalpy of this reaction?a. The reaction is exothermic.b. The reaction is endothermic.c. Heat is absorbed from the surroundings.d. \DeltaH is positive.Part B 2. Consider this combination reaction: 2Mg(s)+O2(g)2MgO(s) H=1204 kJ What is the enthalpy for the decomposition of 1 mole of MgO(s) into Mg(s) and O2(g)? View Available Hint(s) A. -602 kJ/mol B. 602 kJ/mol C. -1204 kJ/mol D. 1204 kJ/mol Part C 3. The enthalpy for the formation of 1 mole of NH3(aq) is -80.29 kJ/mol. What is the enthapy for the formation of 3 moles of NH3(aq)? View Available Hint(s) The enthalpy for the formation of 1 mole of is -80.29 . What is the enthapy for the formation of 3 moles of ? A -83.29 kJ B. -518103 kJ C. -240.87 kJ D. -26.76 kJ All of the following options and options strategies either perform best or require any exercise to be performed at expiration EXCEPT:[A] Those which are issued European-Style.[B] A straddle options position.[C] Those which are issued American-Style.[D] An options position using the Black-Scholes method. y = -x + 8y= 5/2x - 6Plot two lines by clicking the graph.Click a line to delete it. What is the half-life of A? What will the pressure, initially 32.1 kPa, at (a) 10 s, (b) 10 min after initiation of the reaction? Camilo estimates the weight of the dog . The veterinarian says that the dog weighs 84 pounds . The percent error in Camillo's estimate is less than 10% Foster enters into an agreement with Grab n' Eat Burgers, Inc., to operate a franchise in Home Town. Later, Grab n' Eat grants franchises to others within the same territory, causing Foster to suffer a significant loss in profits. In Foster's suit against Grab n' Eat, Foster's best argument is that the franchisora. violated the implied covenant of good faith and fair dealing.b. charged Foster a franchise fee.c. violated the antitrust laws.d. granted Foster the first Grab n' Eat franchise in Home Town At the price of $5 per pack of batteries, Duracell sells 10,000 packs of batteries and Energizer sells 15,000 packs of batteries. When the price rises to $7.50, Duracell sells 12,000 packs of batteries and Energizer sells 16,000 packs of batteries. What is the market supply at $7.50? Question 11 options: A.12,000 B. 16,000 C. 4,000 D. 28,000 E. 25,000 IE 3-5 ... Interactive Exercises If an Equilibrium Price of $2.00 results in the longer run from a right shifting of both Supply and Demand behaviors, then Employment in the Mini-economy will be __________ and Quantity of Goods Produced will be _________ .. The garden of Eden is presented in Genesis 2 as the throne room and temple of God.A. TrueB. False On June 2, 1919, an anarchist's bomb exploded in front of the house of Attorney General A. Mitchell Palmer. Other bombs had been set that day against different government officials. Palmer and the Department of Justice responded in January of 1920 with raids that arrested thousands of people who were suspected anarchists. It was soon questioned whether these "Palmer Raids" were constitutional, however, as a lack of communications and planning resulted in many innocent people being taken from their homes. In which way were the Palmer Raids possibly unconstitutional?A. There was no threat from anarchists in the U.S.B. They were not authorized by the government.C. Many people were arrested without evidence.D. Most of the raids were unnecessarily violent. Chiquita planned to do the same thing as Rhonda, but she misunderstood what Rhonda meant when shesaid "...20% smaller than the one below it." Chiquita made her first ball the same size as Rhonda butthen decreased the volume by 20% for each subsequent ball. How much taller is Chiquita's completed vsnowman than Rhonda's completed snowman? Express your answer as a decimal to the nearest tenth.Plz show full work As the "central bank" for the United States the _________________ is the primary manager of the money supply.a. U.S. Mintb. Bureau of Engravingc. U.S.Treasuryd. Federal Reservee. Federal Reserve Steam Workshop Downloader