9. Find the length of the arc shown in brown. Leave your answer in terms of 2 (1 point)
4pi in.
8pi ft
16pi in.
48pi in.

Answer:

[tex]x^{\frac{3}{7}}[/tex]

Step-by-step explanation:

What is the simplified form of

[tex](\sqrt[7]{x})(\sqrt[7]{x})(\sqrt[7]{x})[/tex]

Applying property of exponents

Remember that

[tex]\sqrt[n]{x^{m}} =x^{\frac{m}{n}}[/tex]

[tex]x^{m}x^{n}=x^{m+n}[/tex]

so

[tex](\sqrt[7]{x})(\sqrt[7]{x})(\sqrt[7]{x})=(x^{\frac{1}{7}})(x^{\frac{1}{7}})(x^{\frac{1}{7}})=x^{(\frac{1}{7}+\frac{1}{7}+\frac{1}{7})}=x^{\frac{3}{7}}[/tex]

Step-by-step explanation:

[tex](a) \: 0.00000296 = 2.96 \times {10}^{ - 6} \\ \\ (b) \: 7.35 \times {10}^{ - 5} \\ \\ = 7.35 \times \frac{1}{{10}^{ 5} } \\ \\ = \frac{7.35}{{100000} } \\ \\ = 0.0000735 \\ [/tex]

(m - 3m)^2

(m - 3n)(m - 3n)

Use the FOIL method.

First m^2

Outer -3mn

Inner -3mn

Last 9n^2

Equation form:

m^2 - 3mn - 3mn + 9n^2

Simplify terms to get...

m^2 - 6mn + 9n^2

The answer is answer D, m^2 - 6mn + 9n^2.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

Answer:

3.68

Step-by-step explanation:

Answer:

14 inches by 18 inches

Step-by-step explanation:

Old rectangular monitor screen:

Width = x in

Length = x + 4 in

Area [tex]=x(x+4)\ in^2[/tex]

New rectangular monitor screen:

Width = x - 1 in

Length = 2(x + 4) in

Area [tex]=(x-1)(2(x+4))=2(x-1)(x+4)\ in^2[/tex]

This area would be increased by [tex]216\ in^2,[/tex] so the area would be equal to [tex]x(x+4)+216\ in^2[/tex]. Hence,

[tex]2(x-1)(x+4)=x(x+4)+216\\ \\2(x^2+4x-x-4)=x^2+4x+216\\ \\2x^2+6x-8-x^2-4x-216=0\\ \\x^2+2x-224=0\\ \\D=2^2-4\cdot (-224)=4+896=900\\ \\x_{1,2}=\dfrac{-2\pm \sqrt{900}}{2}=\dfrac{-2\pm 30}{2}=-16,\ 14[/tex]

The width cannot be negative, so

Width = 14 in

Length = 14 + 4 = 18 in

To form a triangle The sum of any two length must be greater the the third side.

5+ 6 =11, which is less than 12 so it can’t form a triangle

The sides 5, 6, and 12 form a triangle is false. C will always be the biggest number because it is the hypotenuse, and the others numbers can either be A or B.

[tex]12=\sqrt{5^2+6^2} \\\\12=\sqrt{25+36}\\\\12=\sqrt{61}\\\\12\neq 7.81024967591[/tex]

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)  

- Cutiepatutie ☺❀❤

Answer: n*4512 is less than or equal to 117

Step-by-step explanation: n=number N*45=X X=Number more than 117. X decreased by 12 is less than or equal to 117.

Answer:

Step-by-step explanation:

This sort of problem is easily solved by defining a variable to be the quantity of the higher-value contributor. Here, we can let x represent the number of adult tickets. Then total revenue is ...

  6.50x +3.50(548-x) = 2881

  3x +1918 = 2881 . . . . . . . . . . . . eliminate parentheses, collect terms

  3x = 963 . . . . . . . . . . . . . . . . . . subtract 1918

  x = 321 . . . . . . . . . . . . . . . . . . . . divide by 3

  548-x = 548 -321 = 227 . . . . . .number of child tickets

321 adult tickets and 227 child tickets were sold.

By setting up and solving a system of equations, it was determined that the theater sold 320 adult tickets and 228 child tickets.

Let's denote the number of adult tickets as A and the number of child tickets as C.

The first piece of information given is:

Total tickets sold: A + C = 548

The second piece of information is related to the total revenue:

Total revenue from tickets: 6.50A + 3.50C = 2881

To find the values of A and C, we can use the substitution or elimination method to solve this system of equations. Here, we'll use the elimination method:

Multiply the first equation by 3.50 to align the coefficients of C with the second equation:

Subtract this new equation from the second equation to eliminate C:
Substitute A = 320 into the first equation to solve for C:
Therefore, the theater sold 320 adult tickets and 228 child tickets.

The graph of the function starts high and ends high.

Answer: Option B.

Explanation:

The end conduct of a graph is characterized as what is happening at the parts of the bargains. As the capacity approaches positive or negative infinity, the main term figures out what the diagram resembles as it moves towards vastness.

The end conduct of a chart is the way our capacity carries on for extremely huge and tiny info esteems. For exponential capacities, we see that our end conduct goes to endlessness as our information esteems get bigger. The bigger the base of our exponential capacity, the quicker the development.

The end behavior of the function F(x) = 2x^4 + x^3 is determined by the term 2x^4. As x tends toward both positive and negative infinity, this term causes the function to increase towards infinity, meaning the graph starts low and ends high.

The question asks about the end behavior of the polynomial function F(x) = 2x^4 + x^3. To determine this, we look at the highest degree term, which dominates the end behavior. In this case, that term is 2x^4.

As x approaches positive infinity, 2x^4 will grow very large, so the function will also go towards infinity. Similarly, as x approaches negative infinity, 2x^4 will still grow very large (since an even power of a negative number is positive), and the function will go towards infinity as well. Thus, the graph of the function starts low when x is very negative and ends high as x becomes very positive.

Therefore, the correct answer to the student's question is Option A: The graph of the function starts low and ends high.

Answer:

There are no values of x that make the equation true.

Step-by-step explanation:

3(x-2)=3x+7

3x-6=3x+7

3x-6+6=3x+7+6

3x=3x+13

Dviding 3x by 3x will equal 1, and 1 does not equal 13.

Answer:

There are no value of x

Step-by-step explanation:

3(x-2) = 3x+7

3x-6 = 3x+7

-6= 7

=7 +6

=13

so we can say that,There are no value of x

Answer: Answer is x = 5, y = -3

(5, -3)

Step-by-step explanation: The instruction is to use the substitution method, and from the first equation,

y = x - 8

This means we replace the value of y in the second equation with x - 8. Hence;

2x + 3y = 1 can now be re-written as

2x + 3(x - 8) = 1

2x + 3x - 24) = 1

5x - 24 = 1

Add 24 to both sides of the equation

5x -24 + 24 = 1 + 24

5x = 25

Divide both sides of the equation by 5

x = 5

Having calculated x as 5, we can now substitute for the value of x in the first equation

y = x - 8 now becomes

y = 5 -8

y = -3

Using the substitution method, we found the solution to be (5, -3), which matches option a.

To solve the system of equations using the substitution method, we'll first solve one equation for one variable and then substitute it into the other equation.

Given:

1. [tex]\( y = x - 8 \)[/tex] (Equation 1)

2. [tex]\( 2x + 3y = 1 \)[/tex] (Equation 2)

From Equation 1, we can solve for y:

[tex]\[ y = x - 8 \][/tex]

[tex]\[ x = y + 8 \][/tex] (Re-arranging)

Now, substitute [tex]\( x = y + 8 \)[/tex] into Equation 2:

[tex]\[ 2(y + 8) + 3y = 1 \][/tex]

Simplify and solve for y:

[tex]\[ 2y + 16 + 3y = 1 \][/tex]

[tex]\[ 5y + 16 = 1 \][/tex]

[tex]\[ 5y = 1 - 16 \][/tex]

[tex]\[ 5y = -15 \][/tex]

[tex]\[ y = -3 \][/tex]

Now, substitute [tex]\( y = -3 \)[/tex] into Equation 1 to find [tex]\( x \)[/tex]:

[tex]\[ x = (-3) + 8 \][/tex]

[tex]\[ x = 5 \][/tex]

So, the solution to the system of equations is [tex]\( (x, y) = (5, -3) \)[/tex].

The proportion that could be used to solve for the variable is:

[tex]\frac{16}{40} = \frac{3}{h}[/tex]

h = 7.5

Solution:

Given that,

16 walls in 40 hours 3 walls in h hours

Which means,

16 walls build in 40 hours

Then 3 walls in h hours

We have to write a proportion

The number of walls and the number of hours are proportion

Therefore, we get,

[tex]\frac{16}{40} = \frac{3}{h}[/tex]

Cross multiply and solve for h

[tex]16 \times h = 3 \times 40\\\\16h = 120\\\\h = \frac{120}{16}\\\\h = 7.5[/tex]

Thus the proportion is solved

Answer:

The scale factor is the ratio 3/2

Step-by-step explanation:

The picture of the question in the attached image

we know that

A dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem rectangle M and rectangle M' are similar

so

The scale factor is equal to

[tex]\frac{6}{4}=\frac{3}{2}[/tex]

The scale factor is greater than 1

so

The dilation is an enlargement

Answer: A. Linear positive association

Step-by-step explanation:

As the x values increase, so do the y values. this makes the association to be positive because they are both increasing. Additionally if you were to connect all the data points together you would get a straight line, which makes it linear.

Answer:

2294.20

Step-by-step explanation:

the formula [tex]A = P (1+\frac{r}{n}) ^{nt}[/tex] will show the exponential growth in the account

A = amount in account (how much you'll have after earning interest)

P = the initial amount (how much YOU put in the account)

r = interest rate (in decimal form)

n = the number of times the interests in compounded in one year

t = number of years

plug in numbers into formula

(4.2 will become 0.042 because we need it as a decimal)

(n = 12 because monthly means every month and there is 12 months in a year)

formula will look like [tex]A = 2200 (1+\frac{0.042}{12})^{12(1)}[/tex]

once solved you will get 2294.199616 *round as needed

Answer:

Step-by-step explanation:5(x-2)

The correct expression Kiran is trying to write is 5x - 10

Kiran:

x - 10

Add - 2

= x + (-2)

= x - 2

(x - 2)5

5x - 10

Therefore, the correct expression Kiran is trying to write is 5x - 10

Learn more about expression:

https://brainly.com/question/723406

Answer:

f=41, 41×(-8)=-328(not so sure so you might want so check with other people again)

Step-by-step explanation:

f(x)=12x-29

Step 1, u bring the x terms over to one side, in this case on the left side. So it becomes:

f(x)-12x=29

Next step is to find the common factor of the x terms

f(x)-12(x)=29

f-12=29

bring the numbers to the right side

f=29+12

so f=41

Answer:

6 to the power of 2 or 6 squared

Answer:

6 to the power of 2 or 6 squared

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the length of LK, we can use the triangle similarity concept. First, let's compare triangles LJK and LMK. We can see that they share angle L, and we know that LJ = 10 and KM = 7. By comparing the corresponding sides, we can set up the proportion: LK / LJ = KM / KJ Substituting the given values, we have: LK / 10 = 7 / 11 To solve for LK, we can cross multiply and then divide: LK * 11 = 10 * 7 LK * 11 = 70 LK = 70 / 11 So, LK = 6.36 (rounded to two decimal places). Therefore, the answer is not provided in the answer choices.

From the answer choices, we can conclude that LK = d. 70/11.

From the figure we are given, we can use the property of corresponding angles to determine the probable value of LK. From the corresponding sides, LK/LJ is equal to KM/KJ. Now, we substitute the given values to have the following:

LK / 10 = 7 / 11

To get the exact value of LK, we cross-multiply as follows:

LK * 11 = 10 * 7

LK * 11 = 70

LK = 70 / 11

So, the value of LK = 70/11.

Learn more about triangles here:

https://brainly.com/question/14285697
#SPJ1

To find the length of the missing side, you can use the Pythagorean Theorem, which you can only use for right triangles.

Pythagorean Theorem:  a² + b² = c²

[ c is the hypotenuse or the longest side of the triangle, and a and b are the other sides, I think it doesn't matter which side ]

Plug in what you know:

b = 8

c = 14

a² + b² = c²

a² + (8)² = (14)²

a² + 64 = 196       Subtract 64 on both sides

a² = 132       Square root both sides to get "a" by itself

[tex]\sqrt{a^2} =\sqrt{132}[/tex]

a = [tex]\sqrt{132}[/tex] inches

If you need to simplify more, you need to find two numbers that multiply to = 132 where one of them can be square rooted, to do so you can list the greatest common factors of 132

132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The only number that can be square rooted is 4, so you can do:

[tex]a=\sqrt{4*33}[/tex]

[tex]a=\sqrt{4} *\sqrt{33}[/tex]

[tex]a=2\sqrt{33}[/tex]

Answer:

16x2y2 + 9z2 (They are a perfect square trinomial.

Step-by-step explanation:

Answer:

Algebraic expression in terms of k

     k= T- p

Step-by-step explanation:

As

no of kittens left = k

no of puppies left =p

If total left after giving away kittens  =T

T = p + k

In terms of k the expression will be

k= T- p

Keywords: Algebra

Learn more about algebra at:

#learnwithBrainly

Final answer:

To write an algebraic expression in terms of k, subtract the number of kittens given away from the initial number of kittens. The algebraic expression in terms of k is (3/5)x.

Explanation:

To write an algebraic expression in terms of k, we need to determine the initial number of kittens before any were given away. Let's call this number 'x'. According to the problem, 2/5 of the kittens were given away. This means that (2/5)x kittens were given away, leaving k kittens remaining.

To find the algebraic expression in terms of k, we subtract the number of kittens given away from the initial number of kittens. So the expression is x - (2/5)x = k.

We can simplify this expression by finding a common denominator for the fractions. In this case, the common denominator is 5. So the expression becomes 5x/5 - (2/5)x = k. Simplifying further, we have (3/5)x = k. Therefore, the algebraic expression in terms of k is (3/5)x.

49 remainder of 3

Step-by-step explanation:

52 divided by 7 is 49 R 3

Answer:

7.42857142857

Step-by-step explanation:

divide 7 into 52 and you will get 7.42857142857

Answer:

[tex]\frac{11}{14}[/tex]

Step-by-step explanation:

Total number of marbles = 4+3+2+5=14

number of not red marbles = 4+2+5=11

then

the probability that she picked a marble that is not red = 11/14

Answer:

2x + 2x = 4

4x = 4

x = 1

y = 2(1)

y = 2

(1,2)

Answer:$38.39

Step-by-step explanation:

Original price: $

47.99

Discount percentage:

20

%

Results

Discount:

$9.60

Final Price:

$38.39

Answer:

$59.99

Step-by-step explanation:

"20% off" translates into "80% of original price."

Thus, 0.80p = $47.99, where p is the original price.

Dividing both sides by 0.80 yields:

p = $59.99

Answer:

y = -3x + 7

Step-by-step explanation:

Answer: y=-3x+7

Step-by-step explanation:

The formula is y=mx+b. M is the equal to the slope and b is equal to the y-intercept. Since they are both given to you, you just fill them in for the variables and it is your answer

Answer:

(-2,-4),(2,1), and (7,-5)

Step-by-step explanation:

The given triangle has coordinates (6,4), (2,-1), and (-3,5).

When we translate 4 units left, the we obtain:

(6,4)------>(6-4,4)=(2,4)

(2,-1)----->(2-4,-1)=(-2,-1)

(-3,5)----->(-3-4,5)=(-7,5)

When the resulting figure is rotated 180° about the origin, the coordinates of the final figure becomes

(2,4)------>(-2,-4)

(-2,-1)----->(2,1)

(-7,5)------->(7,-5)

NB: The mapping for 180° rotation is:

(x,y)----->(-x,-y)

Answer:

 The required function that models the number of branches t years since Bela began studying her tree is

number of branches = [tex]60(1.83)^{\frac{t}{2.9} }[/tex]

Step-by-step explanation:

Let t be the time in years

Initially Bela's tree had 60 branches.

therefore the function that can be used to model the number of branches after t years will be given by

number of branches( after t years) [tex]= 60\times(1 + \frac{83}{100})^{\frac{t}{2.9} } = 60(1.83)^{\frac{t}{2.9} }[/tex]

The function model is  [tex]B(t) = 60 * (1.83)^{\frac{t}{2.9}}[/tex].

To model the growth of branches on Bela's tree over time, we can use an exponential growth function. Given that the number of branches increases by 83% every 2.9 years, and the initial number of branches is 60, the function can be derived as follows:

The growth factor after each period of 2.9 years can be expressed as 1 + 0.83 = 1.83. If we let t represent the time in years, we need to determine how many 2.9-year periods have passed. This is given by  [tex]\frac{t}{2.9}[/tex].

Thus, the function modeling the number of branches, B(t), after t years is:

[tex]B(t) = 60 * (1.83)^{\frac{t}{2.9}}[/tex]

This function accounts for the exponential growth of the number of branches on Bela's tree over time.