Tom is considering opening a pool cleaning business as a summer job. He wants to determine the percentage of people in his town that own a pool. Which is the best group of people for Tom to survey?

A
150 people who are members of the swim team
B
150 people randomly selected from customers at a local pool supply store
C
150 people randomly selected from the town telephone book
D
150 people who completed and returned a survey by mail

Answer: quadratic

Step-by-step explanation:

The given polynomial is a quadratic polynomial with two terms.

The given expression is:

[tex]2p^{2} -2p[/tex]

A quadratic polynomial is a single variable polynomial with the maximum power of the variable as 2.

Maximum power of p in the given expression =2

So, the given polynomial is a quadratic polynomial.

Hence, the given polynomial is a quadratic polynomial with two terms.

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Step-by-step explanation:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Answer:

It is 19

Step-by-step explanation:

Hope this helps.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6}[/tex] +  [tex]\frac{1}{6}[/tex]

This is because there is only one "5" and one "6" in a dice. Moreover the total number of numbers in a dice are 6 so the denominator will be 6. Then when the word 'or' is present it means that both the probabilities must be added.

P (of rolling a 5 or 6 on a fair dice) = [tex]\frac{1}{6}[/tex] +  [tex]\frac{1}{6}[/tex]

[tex]\frac{2}{6}[/tex] can be simplified further. Both 2 and 6 are factors of 2 so..

[tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

P (of rolling a 5 or 6 on a fair dice) = [tex]\frac{1}{3}[/tex]

Answer:

-4/5

Step-by-step explanation:

y=mx+c

m=gradient=-4/5

Answer:

545.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.

5.545 ×

100

100

= (5.545 × 100) ×

1

100

=

554.5

100

Write in percentage notation: 554.5%

Answer:

2nd one: amelia has 7 muffins left after filling 42 boxes

Step-by-step explanation:

Answer:

128, -512, 2048

Step-by-step explanation:

the next term is calculated by multiplying the previous term by -4

Answer:

Width              Length

5                        8.7

7.9                    11.6

9                        12.7

11.3                     15.0

13                      16.7

Step-by-step explanation:

If they gave you the width, you add 3.7 to get the length.

If they gave  you the length, you subtract 3.7 to get the width.

Answer:

Width              Length

5                        8.7

7.9                    11.6

9                        12.7

11.3                     15.0

13                      16.7

Step-by-step explanation:

If they gave you the width, you add 3.7 to get the length.

If they gave  you the length, you subtract 3.7 to get the width.

Answer:

32.5 km

Step-by-step explanation:

6.5 / 2 = 3.25

3.25 x 10 = 32.5 km

Hope that helps!

Answer:

32.5 km

Step-by-step explanation:

Our ratio is 2cm: 10km

We can also write a ratio to look like a fraction. I'm attaching a picture. Sometimes it's easier to see that way.

We cross-multiply, then divide.

Ask any questions in the comments.

Answer:

its d

Step-by-step explanation:

The  equations that are correct are:

0.02(750) + 0.03(x - 750) = 37.5

0.03(750 - x) = 37.5 - 15

Given:

Melissa earns a 2% commission on the first $750 of sales.

She earns a 3% commission on greater than $750 each week.

1. Sales up to $750:

Melissa earns a 2% commission on the first $750 of sales.

=0.02(750)

= 15

2. Sales exceeding $750:

Melissa earns a 3% commission on the amount of sales that exceed $750.

0.03(x - 750) = 37.5 - 15

Combining both equations, we have:

0.02(750) + 0.03(x - 750) = 15 + 37.5 - 15

15 + 0.03x - 22.5 = 37.5

0.03x - 7.5 = 37.5

Adding 7.5 to both sides

0.03x = 45

Dividing both sides by 0.03

x = 1500

Therefore, the correct equations that calculate the amount of money Melissa made in sales last week are:

Equation 1: 0.02(750) + 0.03(x - 750) = 37.5

Equation 2: 0.03(750 - x) = 37.5 - 15

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A) Answer:

[tex] - m ^{12} [/tex]

B) Answer:

[tex] \frac{25 {c}^{4} }{ {d}^{6} } [/tex]

C) Answer:.

[tex]27 {a}^{6} b ^{3}c^{9} [/tex]

D) Answer:

[tex] {6x}^{5} {y}^{3} {z}^{3} [/tex]

E) Answer:

[tex] \frac{ {9m}^{7} {n}^{12} {y}^{7} {x}^{7} {z}^{6} }{8} [/tex]

Answer:

A. As the x-values go to positive infinity, the function's values go to negative infinity.

Step-by-step explanation:

Given:

The variable y varies directly as x and inversely as z. When x = 4 and z= 14, y=2.

To find:

The combined variation equation and find y when x = 6 and z= 3.

Solution:

The variable y varies directly as x and inversely as z.

[tex]y\propto \dfrac{x}{z}[/tex]

[tex]y=k\dfrac{x}{z}[/tex]           ...(i)

Where, k is the constant of proportionality.

Putting x=4, y=2 and z=14, we get

[tex]2=k\dfrac{4}{14}[/tex]

[tex]2=k\dfrac{2}{7}[/tex]

[tex]2\times \dfrac{7}{2}=k\dfrac{2}{7}\times \dfrac{7}{2}[/tex]

[tex]7=k[/tex]

Putting k=7 in (i), we get

[tex]y=7\dfrac{x}{z}[/tex]

Putting x=6 and z=3, we get

[tex]y=7\times \dfrac{6}{3}[/tex]

[tex]y=7\times 2[/tex]

[tex]y=14[/tex]

Therefore, the required equation is [tex]y=7\dfrac{x}{z}[/tex] and the value of y is 14 when x = 6 and z= 3.

Answer:

c

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

hopes this helps

Answer:

100

Step-by-step explanation:

Answer:

For right angle triangle,

we use Pythagoras theorem that is:

[tex]c^{2} =a^{2} +b^{2}[/tex]

c = [tex]\sqrt{a^{2} +b^{2} }[/tex]

For question 1:

c = ?

a = 40

b = 9

putting them in formula,

c = [tex]\sqrt{40^{2} + 9^{2} }[/tex]

c = 41

For question 2:

c = ?

a = 12

b = 13

putting them in formula,

c = [tex]\sqrt{12^{2} + 13^{2} }[/tex]

c = approximately 17.69181

For question 3:

c = 35

a = 20

b = ?

putting them in formula,

[tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]35^{2} = 20^{2} + b^{2}[/tex]

1225 = 400 + [tex]b^{2}[/tex]

[tex]b^{2}[/tex] = 1225 - 400

[tex]b^{2}[/tex] = 825

[tex]\sqrt{b^{2} } = \sqrt{825}[/tex]

b = 5 [tex]\sqrt{33}[/tex]

For question 4:

c = 37

a = 20

b = ?

putting them in formula,

[tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]37^{2} = 20^{2} + b^{2}[/tex]

1369 = 400 + [tex]b^{2}[/tex]

[tex]b^{2}[/tex] = 1369 - 400

[tex]b^{2}[/tex] = 969

Taking square root on both sides

b = 31.12

Hope it helps.

Answer:

Step-by-step explanation:

Hope this helps

Answer:

The answer is

[tex] \frac{30}{48} = \frac{15}{24} [/tex]

Answer:

Hello! You can Simplify 30/48 to 5/8

I do not think you can make a whole with 30/48

The altitude of the right triangle is the geometric mean of the 2 parts of the side it separates.

a. The answer would be sqrt(18*32)=24

The question to the second question can be answered by using the Pythagorean theorem.

32^2+24^2=1600=40^2

b. The answer would be sqrt40^2=40

The beach, the parking lot and the refreshment stand are illustrations of similar triangles.

(a) The distance between the spot and the parking lot

Represent this distance with d.

So, the equivalent ratio is:

[tex]\mathbf{32:d = d : 18}[/tex]

Express as fractions

[tex]\mathbf{\frac {32}d = \frac{d}{ 18}}[/tex]

Cross multiply

[tex]\mathbf{d \times d = 32 \times 18}[/tex]

[tex]\mathbf{d^2 = 576}[/tex]

Take square roots

[tex]\mathbf{d = 24}[/tex]

Hence, the distance between the spot and the parking lot is 24 m

(b) The distance between the refreshment stand and the parking lot

Represent this distance with d.

Using Pythagoras theorem we have:

[tex]\mathbf{d^2 = 32^2 + 24^2}[/tex]

[tex]\mathbf{d^2 = 1600}[/tex]

Take square roots

[tex]\mathbf{d = 40}[/tex]

Hence, the distance between the refreshment stand and the parking lot is 40 m

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Step-by-step explanation:

(x+20)=9x

4x=20

x= 5°

because GEF AND DEG ARE EQUAL

THEN DEF= 2 * GEF

DEF = (9*5)*2=90

DEF= 90°

Answer: 69

Step-by-step explanation:

First, you add the 34 with the 35.

You can check your answer by subtracting the answer 69 with 35 and if the answer comes out as 34 it is correct.

Answer: 69 lol

Step-by-step explanation: i got it by adding 34 + 35 lol

I hope it helps you ❤️❤️❤️❤️

The solution to the inequality, 4x^2 - 25 < 0 is determined as x < 5/2.

The solution to the inequality is obtained by solving the inequality as shown below;

4x^2 - 25 < 0

add 25 to both sides of the equation;

4x² < 25

divide both sides by 4

x² < 25/4

take square root of both sides

x < 5/2

Thus, the solution to the inequality, 4x^2 - 25 < 0 is determined as x < 5/2.

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Step-by-step explanation:

9x+6x=135

15x=135

x=9

9x=81

6x=54

Answer:

The unit price is the price of a single unit.

To find it, you need to find the quotient between the total price and the number of objects you get for that price.

Brand A:

You get 25 spoons for $1.97

Then the unit price is:

unit price of brand A = $1.97/25 = $0.079

Brand B:

You get 48 spoons for $2.98

Then the unit price is:

unit price of brand B: $2.98/48 = $0.062

Here we can see that the unit price for brand B is smaller, then the better buy is brand B.

Answer:(60 + 12)(60 – 12)

Step-by-step explanation: