A. What is the sum of the squares of the roots of $x^2 - 5x - 4 = 0$?
B. One root of $x^2 + 12x + k = 0$ is twice the other root. Find $k.$
C. What is the sum of the roots of the quadratic $4x^2 - 4x - 4$?
D. Jimmy is trying to factor the quadratic equation $ax^2 + bx + c = 0.$ He assumes that it will factor in the form
\[ax^2 + bx + c = (Ax + B)(Cx + D),\]where $A,$ $B,$ $C,$ and $D$ are integers. If $a = 4,$ and Jimmy wants to find the value of $A,$ what are the possible values he should check, in order to find $A$?
E. Brandy is trying to factor the quadratic $3x^2 - x - 10.$ She starts by assuming that the quadratic factors as
\[3x^2 - x - 10 = (x + B)(3x + D),\]for some integers $B$ and $D.$ After some work, Brandy successfully factors the quadratic. Find the ordered pair $(B,D).$

Answers

Answer 1

Answer:

A. 33

B. k=32

C. 1

D. [tex]\pm 1,\ \pm 2,\ \pm 4[/tex]

E. [tex]B=-2,\ D=5[/tex]

Step-by-step explanation:

In all parts for the quadratic equation [tex]ax^2+bx+c=0[/tex] use Vieta's formulas

[tex]x_1+x_2=-\dfrac{b}{a},\\ \\x_1\cdot x_2=\dfrac{c}{a},[/tex]

where [tex]x_1,\ x_2[/tex] are the roots of the quadratic equation.

A. For the equation [tex]x^2-5x-4=0,[/tex]

[tex]x_1+x_2=5,\\ \\x_1\cdot x_2=-4.[/tex]

Then

[tex](x_1+x_2)^2=x_1^2+2x_1\cdot x_2+x_2^2,\\ \\5^2=x_1^2+x_2^2+2\cdot (-4),\\ \\x_1^2+x_2^2=25+8=33.[/tex]

B. One of the roots of [tex]x^2+12x+k=0[/tex] is twice the other root, then [tex]x_2=2x_1.[/tex] By the Vieta's formulas,

[tex]x_1+x_2=3x_1=-12,\\ \\x_1\cdot x_2=2x_1^2=k.[/tex]

Then [tex]x_1=-4[/tex] and [tex]k=2x_1^2=2\cdot (-4)^2=2\cdot 16=32.[/tex]

C. The sum of the roots of the quadratic  [tex]4x^2-4x-4[/tex] is [tex]-\dfrac{b}{c}=-\dfrac{-4}{4}=1.[/tex]

D. Note that

[tex](Ax+B)(Cx+D)=ACx^2+x(AD+BC)+BD,[/tex]

then [tex]AC=a=4.[/tex] If [tex]A,\ B,\ C,\ D[/tex] are integers, then you should check [tex]A=\pm 1,\ \pm 2,\ \pm 4.[/tex]

E. Consider [tex]3x^2 - x - 10 = (x + B)(3x + D).[/tex] Note that

[tex]x_1+x_2=\dfrac{1}{3},\\ \\x_1\cdot x_2=-\dfrac{10}{3}.[/tex]

Then

[tex]x_1=2,\ x_2=-\dfrac{5}{3}.[/tex]

Then [tex]3x^2 - x - 10 = (x -2)(3x+5),[/tex] hence [tex]B=-2,\ D=5.[/tex]


Answer 2

A. The sum of the squares of the roots is 33, B. k = 32, C. The sum of the roots is 1, D. The possible values he should check are ±1, ±2, ±4, E. The ordered pair (B, D) is (2, -5).

Let's solve each part of the problem step-by-step:

A. First, find the roots of the quadratic equation using Vieta's formulas:

The sum of the roots (α + β) = -(-5) = 5.The product of the roots (αβ) = -4.

Now, the sum of the squares of the roots is given by: (α² + β²) = (α + β)² - 2αβ. Substituting the known values:
Hence, α² + β² = 25 - (-8) = 25 + 8 = 33.

B. Let the roots be α and 2α. Using Vieta's formulas again:

The sum of the roots (α + 2α) = 3α = -12, thus α = -4.The product of the roots (α * 2α) = 2α² = k.Therefore, k = 2(-4)² = 2 * 16 = 32.

C. The sum of the roots is given by -b/a:

Here, a = 4 and b = -4.Thus, the sum of the roots = -(-4)/4 = 1.

D. The quadratic can be written as 4x² + bx + c. The coefficient of x² on the right-hand side must be AC. Since a = 4:

The possible integer values for A can be the pairs (A, C) where A * C = 4.Thus, the possible values for A are ±1, ±2, ±4.

E. The quadratic can be factored as (x + B)(3x + D). Let's determine B and D:

3B + D = -1 (coefficient of x)BD = -10 (constant term)Solving these equations, we find B = 2 and D = -5.

Thus, the ordered pair (B, D) is (2, -5).


Related Questions

Pygmies do not plant their own , but they will work in them in exchange for food or tools

Answers

I’m not sure where the question is here, but if it is a true or false, the pygmies do exchange with neighboring villages. They are hunters and gatherers, so rather than planting food, they gather. So this statement would be true

Answer:

it was a fill in the blank question and the answer is gardens

Step-by-step explanation:

Which expression is equal to 2x/x-2 - x+3/x+5 ?

Answers

The last option is the answer

Following are the complete solution to the given expression:

Given:

[tex]\bold{\frac{2x}{x-2} - \frac{x+3}{x+5}}[/tex]

To find:

Solve expression=?

Solution:

[tex]\to \bold{\frac{2x}{x-2} - \frac{x+3}{x+5} = \frac{2x(x+5) -(x+3)(x-2)}{(x-2)(x+5)}}[/tex]

                     [tex]\bold{= \frac{2x^2+10x -(x^2+x-6)}{(x-2)(x+5)}}\\\\\bold{= \frac{2x^2+10x -x^2-x+6}{(x-2)(x+5)}}\\\\\bold{= \frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]

Therefore, the final answer is "4 Option".

Learn more:

brainly.com/question/22052130

A large asteroid crashed into a moon of another planet causing several boulders from the moon to be propelled into space toward the planet. Astronomers were able to measure the speed of one of the projectiles. The distance (in feet) that the projectile traveled each second, starting with the first second, was given by the arithmetic progression 18,54, 90,126, . Find the distance that the projectile traveled in the eighth second.

Answers

Answer:

270 feet


Step-by-step explanation:

From the sequence given, we can see that the asteroid travels 36 feet more with each second. (as seen [tex]54-18=36[/tex] and [tex]90-54=36[/tex] etc.)

So 5th second, it will travel: [tex]126+36=162[/tex]

6th second, it will travel: [tex]162+36=198[/tex]

7th second, it will travel: [tex]198+36=234[/tex]

8th second, it will travel: [tex]234+36=270[/tex]


Hence, in the eighth second, the projectile traveled 270 feet.

The distance the projectile travels in the eighth second is found to be 270 feet.

The question asks for the distance a projectile travels in the eighth second, given that the distances it covers each second form an arithmetic progression with initial distances given as 18, 54, 90, 126, etc. In an arithmetic progression, the difference between any two consecutive terms is constant, known as the common difference.

To find the common difference (d), we subtract the first term from the second term:

d = 54 - 18 = 36

The nth term of an arithmetic sequence can be found using the formula:

T(n) = a + (n - 1)d

Here, a represents the first term, which is 18, and d is the common difference we found to be 36. Substituting the values to find the eighth term:

T(8) = 18 + (8 - 1) x 36T(8)

= 18 + 7 x 36T(8)

= 18 + 252T(8) = 270

Thus, the distance the projectile travels in the eighth second is 270 feet.

Help!!! #2 Problem Set

Answers

Answer:

Independent:  time (minutes)

Dependent: Distantce (inches)

Step-by-step explanation:


What is the equation of the line that passes through the points (−2, 1) and (1, 10)?

3x − y = −7
3x − y = −5
3x − y = 5
x + 3y = −5

Answers

Answer:

3x - y = -7

Step-by-step explanation:

y = mx + b

m = deltay/deltax

m = (10 - 1)/[( 1 - (-2)]

m = 9/3 = 3

y = 3x + b

From (-2 | 1) we see that when x = -2, y = 1

Placing into the equation, in order to find b (y-intercept)

y = 3x + b

1 = 3(-2) + b

b = 7

y = 3x + 7 or 3x - y = -7

Final answer:

Calculate the slope (m) using the two provided points and use it along with one of the points in the point-slope formula.

Simplify to get the slope-intercept form, and rearrange to find the equation in standard form, which is 3x - y = -7.

Explanation:

To find the equation of a line that passes through two given points, first you determine the slope (m) by using the slope formula m = (y2 - y1) / (x2 - x1).

For the points (-2, 1) and (1, 10), we find the slope as (10 - 1) / (1 - (-2)) = 9 / 3 = 3.

Knowing the slope, we can use the point-slope form of a linear equation, y - y1 = m(x - x1), and plug in one of the points, say (-2, 1), to get y - 1 = 3(x + 2).

Better express this equation in slope-intercept form y = mx + b by simplifying it to y = 3x + 7.

To find the standard form, which typically looks like Ax + By = C, rearrange terms to get 3x - y = -7.

This is the standard form equation of the line that passes through (-2, 1) and (1, 10).

Suppose you deposit ​$2,500 in a savings account that pays interest at an annual rate of 5​%. If no money is added or withdrawn from the​ account, answer the following questions.

a. How much will be in the account after 3 ​years?
b. How much will be in the account after 17 ​years?
c. How many years will it take for the account to contain ​$3,000​?
d. How many years will it take for the account to contain ​$3,500​?

Answers

Final answer:

a. The account will have $2,839.25 after 3 years. b. The account will have $5,148.64 after 17 years. c. It will take approximately 4.329 years for the account to contain $3,000. d. It will take approximately 6.646 years for the account to contain $3,500.

Explanation:

a. To calculate the amount in the account after 3 years, we can use the formula: A = P(1 + r)^t, where A is the amount, P is the initial deposit, r is the interest rate, and t is the number of years. In this case, P = $2,500, r = 5% = 0.05, and t = 3. Plugging in these values, we get A = 2500(1 + 0.05)^3. Calculating this, we get A = $2,839.25.

b. Using the same formula, we can calculate the amount in the account after 17 years. P = $2,500, r = 5% = 0.05, and t = 17. Plugging in these values, we get A = 2500(1 + 0.05)^17. Calculating this, we get A = $5,148.64.

c. To find out how many years it will take for the account to contain $3,000, we can rearrange the formula to solve for t. The equation becomes 3000 = 2500(1 + 0.05)^t. Dividing both sides by 2500, we get 1.2 = (1.05)^t. Taking the logarithm of both sides, we have log(1.2) = t * log(1.05). Solving for t, we find t = log(1.2) / log(1.05). Using a calculator, we get t ≈ 4.329 years.

d. Following the same steps, we can find the number of years it will take for the account to contain $3,500. The equation becomes 3500 = 2500(1 + 0.05)^t. Dividing both sides by 2500, we get 1.4 = (1.05)^t. Taking the logarithm of both sides, we have log(1.4) = t * log(1.05). Solving for t, we find t = log(1.4) / log(1.05). Using a calculator, we get t ≈ 6.646 years.

The amount in the account can be calculated using the compound interest formula. After 3 years, the account will have approximately $2,894.07, and after 17 years, it will have approximately $6,003.94. It will take about 3.57 years to reach $3,000 and about 6.57 years to reach $3,500.

To calculate how much money will be in a savings account after a certain number of years with a fixed annual interest rate, we use the compound interest formula:

Compound Interest Formula

A = P(1 + r/n)^(nt)

Where:

A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of times that interest is compounded per year.t is the number of years the money is invested or borrowed for.

In this case, the interest is compounded annually, so n = 1.

Question a: How much will be in the account after 3 years?

Given:

P = $2,500r = 5% = 0.05n = 1t = 3

Using the formula:

A = 2500 (1 + 0.05/1)¹ˣ³ = 2500 (1.05)³ ≈ $2,894.07

Question b: How much will be in the account after 17 years?

Given:

P = $2,500r = 5% = 0.05n = 1t = 17

Using the formula:

A = 2500 (1 + 0.05/1)¹ˣ¹⁷ = 2500 (1.05)¹⁷ ≈ $6,003.94

Question c: How many years will it take for the account to contain $3,000?

Given:

P = $2,500A = $3,000r = 5% = 0.05n = 1

Using the formula and solving for t:

3000 = 2500 (1.05)^t

Divide both sides by 2500:(3000/2500) = (1.05)^t1.2 = (1.05)^tTake the natural logarithm of both sides:ln(1.2) = t ln(1.05)Solve for t:

t = ln(1.2) / ln(1.05) ≈ 3.57 years

Question d: How many years will it take for the account to contain $3,500?

Given:

P = $2,500A = $3,500r = 5% = 0.05n = 1

Using the formula and solving for t:

3500 = 2500 (1.05)^t

Divide both sides by 2500:

(3500/2500) = (1.05)^t1.4 = (1.05)^tTake the natural logarithm of both sides:ln(1.4) = t ln(1.05)

Solve for t:

t = ln(1.4) / ln(1.05) ≈ 6.57 years

6 is 24% of a number, what is 40% of the same number?
A. 8
B. 10
C. 15
D. 20
E.25
SHOW ALL WORK

Answers

Answer:

B. 10

Step-by-step explanation:

6 = .24 * x

Solve for x

Divide each side by .24

6/.24 = x

25 =x

Now find 40% of 25

25*.4 = 10

It costs $23 per hour plus a flat fee of $16 for a plumber to make a house call. What is the equation of the form y = mx + b for this situation? A) y = 16x B) y = 23x C) y = 16x + 23 D) y = 23x + 16

Answers

D is the best choice because y would be the total amount of money he would have to pay. X would be the amount of hours he uses the phone and the hourly fee is 23 so it would be 23x. the flat fee was 16 so you just add that on to the hourly fee. The whole equation should be y = 23x + 16

Answer:

It is D 100%

Step-by-step explanation:

Consider the function f(x)=−2/3x+1.


What is f(3)?

f(3)=?

Answers

Answer:

Alright well Graph the line using this slope and Y-intercept, or two points

Slope: - 2/3

Y - intercept: 1 Hope this helps have a nice day :)

Step-by-step explanation:

And if you want i can explain the Answer with detail

Answer:

f(3) = [tex]\frac{7}{9}[/tex]

Step-by-step explanation:

The given function is

f(x)= [tex]\frac{-2}{3x}+1[/tex]

To find is the value of f(3)

Now we can find the value of a function by putting the vlaue in the given equation of the function

we can see that we have to find the value of f(3) and or given function is f(x)

so we have to put the value of x to be equal to 3 so that we can get the value of the desired function at a given point

Now

In this

x =3

f(x) = [tex]\frac{-2}{3x}+1[/tex]               ................(i)

Put x = 3 in equation (i)

it becomes

f(3) = [tex]\frac{-2}{3*3}+1[/tex]

f(3) = [tex]\frac{-2}{9}+1[/tex]

Taking the LCM and solving it

LCM of 1 and 9 is 9 so it becomes

f(3) = [tex]\frac{-2+9}{9}[/tex]

f(3) = [tex]\frac{7}{9}[/tex]

which is the required value


Joseph needs to find the quotient of 3,216 divided by 8 in what play is the first digit in the quotient

Answers

Answer:

3216/8 is = to 402

Step-by-step explanation:

So I am not sure what you are asking sorry

An entertainment firm offers several DJ choices and light shows that range in price based on the rental time period.

The DJ's cost between $219.00 and $369.00 per night and the light shows cost between $159.00 and $309.00 per night.

If you are booking both a DJ and a light show, write a compound inequality that represents the possible total amount you would pay, x.

MUST SHOW VALID WORK :)

Answers

Answer:

378 ≤ x ≤ 678

Step-by-step explanation:

If you're looking to book both a DJ and a light show we have to take into account the minimum that you'll pay up to the maximum cost "x".  This can be done by adding the lowest cost for both meaning:

$219 + $159 = $378

And the most you'll pay:

$369 + $309 = $678

So you can say that the amount you'll pay is in between $378 and $678.  Mathematically speaking you can also say that you'll pay more than or equal to $378 and less than or equal to $678.  The previous statement can be written mathematically as a compound inequality as such:

[tex]378\leq x\leq 678[/tex]


A cookie recipe calls for 1/4 of a cup of sugar for one batch. How many complete batches can you make if you have 3 cups of sugar?

Answers

well, if it's 1/4 and that's 0.25 out of 1 so it's 4 out of 1 cup multiply that by 3 and that's 12 batches

Paws at play made a total of $1,234 grooming 22 dogs. Paws at play charges $43 to groom each small dog and $75 for each large dog. Write a system of equations that can be used to determine the number of small and large dogs that were groomed

Answers

Answer:

The system of equation can be used for determine the number of small and the large dogs groomed are

x + y = 22

43x + 75y = 1234

Step-by-step explanation:

Let us assume that the number of small dogs groomed be x.

Let us assume that the number of lagre dogs groomed be y.

As given

Paws at play made a total of $1,234 grooming 22 dogs.

Than the equation becomes

x + y = 22

Paws at play charges $43 to groom each small dog and $75 for each large dog.

Than the equation becomes

43x + 75y = 1234

Therefore the system of equation can be used for determine the number of small and the large dogs groomed are

x + y = 22

43x + 75y = 1234


What are the zeros of the polynomial function? f(x)=x^3−x^2−4x+4
Select each correct answer.


-3
-2
-1
0
1
2
3

Answers

Answer: (B) -2, (E) 1, (F) 2

Step-by-step explanation:

   x³ - x² - 4x + 4

= x²(x - 1) - 4(x - 1)

= (x² - 4) (x - 1)

= (x - 2)(x + 2)(x - 1)

Set each factor equal to zero to find the roots:

  x - 2 = 0      x + 2 = 0       x - 1 = 0

       x = 2             x = -2           x = 1


Answer:

-2,1,2

Step-by-step explanation:

The weight of water is 62 and one half lb per cubic foot. What is the weight of 18 and one fourth cubic feet of? water? How much does 18 and one fourth cubic feet of water? weigh?

Answers

Answer:

Water - 62.5 pounds per cubic foot

18.25 cubic feet would weigh 18.25 * 62.5 =

1,140.625 pounds.


Step-by-step explanation:


What is the 17th term in the arithmetic sequence described by this explicit formula? A(n)=77+ (n-1) (-5)

Answers

Answer:

[tex]a_{17}[/tex] = - 3

Step-by-step explanation:

to find the 17 th term substitute n = 17 into the explicit formula

A(17) = 77 + (16 × - 5 ) = 77 - 80 = - 3


the answer is -3

have a blessed day!

The most popular pizza at pavone's pizza is a 10-inch personal pizza with one topping.What is the area of a pizza with a diameter of 10 inches?Round your answer to the nearest hundredth

Answers

a= [tex]\pi[/tex] [tex]r^{2}[/tex]

The area of a pizza with a diameter of 10 inches is 78.5.

PLEASE HELP!!

Diagonal AC divides the trapezoid ABCD (with bases AD and BC, AD>BC) into two similar triangles, △ABC and △DCA. Find AC if BC=4 cm and AD=9 cm.

Answers

Answer:

6 cm

Step-by-step explanation:

Let k represent the scale factor between ΔABC and ΔDCA. Then ...

... CA = k·BC

... AD = k·CA

So, AD/BC = k·(k·BC)/BC = k² = 9/4

Then k = √(9/4) = 3/2, and ...

... CA = (3/2)·BC = (3/2)·(4 cm)

... CA = 6 cm

Final answer:

To find the length of diagonal AC in trapezoid ABCD, we utilize the properties of similar triangles created by the diagonal. Since triangles △ABC and △DCA are similar, we set up a proportion using the sides BC and AD, and solve for AC to find that AC is 6 cm.

Explanation:

The question asks us to find the diagonal AC of trapezoid ABCD where it's given that BC = 4 cm and AD = 9 cm, and triangles △ABC and △DCA are similar. To find AC, we can use the properties of similar triangles which dictate that corresponding sides are proportional. Let us consider that the trapezoid is split into two triangles by AC. The ratio of the smaller triangle's base to the larger triangle's base (BC:AD) must be the same as the ratio of any other pair of corresponding sides in these two similar triangles. Furthermore, the ratio of the longer leg of △ABC (which is AC) to its base BC is equal to the ratio of the longer leg of △DCA (which is also AC) to its base AD. Using these ratios, we can set up a proportion to solve for AC:

AC/BC = AC/AD

Since the length of AC is the same in both ratios, we can multiply both sides by BC*AD to get:

[tex]AC^2 = BC * AD[/tex]

By substituting the given values for BC and AD into the equation we get:

[tex]AC^2 = 4 cm * 9 cm[/tex]

[tex]AC^2 = 36 cm^2[/tex]

To find AC, we take the square root of both sides:

AC = √36 cm

AC = 6 cm

Hence, the length of diagonal AC is 6 cm.

Use synthetic division to solve (x^3-x^2-17x-15) / (x-5). What is the quotient?

Answers

Answer:

Quotient is [tex]1x^2 + 4x +3[/tex]

Step-by-step explanation:

   [tex](x^3-x^2-17x-15)[/tex]

The coefficient of given expression is 1, -1, -17, -15

we divide by x-5, that is x=5

      5                      1              -1          -17            -15

                                               5          20            15

                              1                4            3             0 ---> Remainder

Answer 1, 4, 3 is the quotient

We write quotient as 1x^2 + 4x +3


Answer:

A on eden

Step-by-step explanation:

Did the test

Use the Distributive Property to rewrite each of the expressions -6(r-8)

Answers

Answer:

-6r+48

Step-by-step explanation:

(-6)(r)+(-6)(-8)

=-6r+48

Answer:

-6r +48

Step-by-step explanation:

The distributive property has us distribute the number on the outside to the numbers on the inside

-6(r-8)

-6 *r -6 * (-8)

-6r +48

Solve the inequality and enter your solution as an inequality comparing the variable to the solution in the box below. 18 + x > 42Solve the inequality and enter your solution as an inequality comparing the variable to the solution in the box below. 18 + x > 42

Answers

Hi there! :)

Answer:

x>24

*The answer must have a positive sign and greater than symbol sign.*

Step-by-step explanation:

First, you switch sides.

[tex]x+18>42[/tex]

Then, you subtract by 18 from both sides of an equation.

[tex]x+18-18>42-18[/tex]

Finally, you subtract by the numbers from left to right.

[tex]42-18=24[/tex]

Final answer is x>24

I hope this helps you!

Have a nice day! :)

-Charlie

:D

"Match the vocabulary word with the correct definition. (altitude of a triangle, base angles, base of an isosceles triangle, centroid, median of a triangle, orthocenter, vertex angle )
1. The two angles that include the base of an isosceles triangle.
2. A point on the interior of a triangle in which the three medians of the triangle intersect.
3. A segment from a vertex perpendicular to the opposite side.
4. A point in which the three altitudes of the triangle intersect. It is possible for the orthocenter to occur on the triangle, on the interior of the triangle or on the exterior of the triangle.
5. The angle formed by the two equal sides of an isosceles triangle.
6. A segment from a vertex to the midpoint of the opposite side.
7. The third, unequal side of an isosceles triangle."

Answers

1. base angles

2. centroid

3. altitude of a triangle

4. orthocenter

5. vertex angle

6. median of a triangle

7. base of an isosceles triangle

Answer:

1.Base angles.

2.Centroid.

3.Altitude of a triangle.

4. Orthocenter.

5.Vertex angle.

6.Median of triangle.

7. Base of an isosceles triangle.

Step-by-step explanation:

1. Base angles: The two angles that include the base of an isosceles triangle.

2. Centroid: A point on the interior of a triangle in which the three medians of the triangle intersect.

3.Altitude of a triangle:A segment from a vertex perpendicular to the opposite side.

4.Orthocenter: A point in which the three altitudes of the triangle intersect .It is possible for the orthocentre to occur on the triangle ,on the interior of the triangle or on the exterior of the triangle.

5.Vertex of angle:The angle formed by the two equal sides of an isosceles triangle.

6.Median of triangle:A segment from a vertex to the midpoint of the opposite side .

7.Base of an isosceles triangle: The third , unequal side of an isosceles triangle.

Holly and her 2 brst friends go to dinner. Their total bill is 31.84. They use a coupon for 15% off the total. If they split the bill evenly, how much will each person owe, to the nearest tenth?

Answers

ANSWER:

$9.0.

Each person will owe $9.0.

STEP-BY-STEP SOLUTION:

Total amount of people:
= 3

Total bill:
= $31.84

Discount off total bill:
= 15%

Total bill after discount:
= 31.84 × ( 100% - 15% )
= 31.84 × 85%
= 27.064

Total bill after discount split evenly / Amount each person will owe:
= 27.064 ÷ 3
= 9.0213 ( 3 repeater )
= $9.0 ( rounded to the nearest tenth )

Everyday day Marvin exercises for 48 minutes.How many days will it take him to exercise for 576 minutes.

Answers

It will take Marvin 12 days to exersise for 576

One type of insect is 0.0052 meters long. What is the lenght in scientific notation

Answers

Answer:

5.2 × [tex]10^{-3}[/tex]

Step-by-step explanation:

a number in scientific notation is expressed as

a × [tex]10^{n}[/tex]

where 1 ≤ a < 10 and n is an integer

write 0.0052 as a number between 1 and 10, that is 5.2

we have to the move the decimal point 3 places to the left to retain it's value

3 places left means n is - 3

0.0052 = 5.2 × [tex]10^{-3}[/tex]


A circle has an area of 5050 square meters. Which answer is closest to the measure of its diameter?

Answers


[tex]r = \frac{d}{2} \\ s = {r}^{2} \times \pi \\r = \sqrt{ \frac{s}{\pi} } \\ d = 2 \times r[/tex]
And as your area(s) is 5050 square meters, the diameter should be roughly 80.1 meters

h(x)=17+ x/6
find x.
i will give brainliest 100 points

Answers

Answer:

x = -11

Step-by-step explanation:

h(x) = 17 + x/6

times 6


6 = x + 17


subtract 17


-11 = x

Answer:

H x − x 6 = 17

Step-by-step explanation:

20 POINT'S!!!!!!!!!
HELP!!!

Answers

Well, the base and height would still be applicable (essentially, base is just width and height is just, uh, height,)

So basically the area of one triangle is 0.5(7*6), which is 21

The area of one triangle is option c., 21.

Answer:

The answer is B or 21

Step-by-step explanation:

I took the assignment

5x^2-(3xy-7x^2)+(5xy-12x^2)
When x=-0.25, and y=4

Answers

[tex]5x^2-(3xy-7x^2)+(5xy-12x^2)=5x^2-3xy+7x^2+5xy-12x^2=2xy\\\\ 2\cdot(-0.25)\cdot4=-2[/tex]

Answer:

-2

Step-by-step explanation:

5x^2-(3xy-7x^2)+(5xy-12x^2)

5x^2-3xy+7x^2+5xy-12x^2

[(5x^2+7x^2-12x^2)=0]

-3xy+5xy= -3(-.25)(4)+5(-.25)(4)

-3(-.25)(4)+5(-.25)(4)= 3-5= -2

-2

Gregory predicts that 310 people will attend the spring play there was an actual total of 220 people who attended the spring play. What is the percent error round to the nearest whole percent

Answers

Answer:

41%

Step-by-step explanation:

To calculate the percent error:

We find the difference between the predicted and the actual.We divide the absolute value of the difference by the actual recorded value.Convert to a percent by multiplying by 100 and adding a % sign.

Gregory predicted 310 and 220 actually came.

1. 310-220=90

2. 90/220=0.41

3. 0.41(100)=41%

Answer:

the percent error is 41%

Step-by-step explanation:

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