The expression 6x^2 gives the surface of a cube and the expression x^3 gives the volume of a cube where x is the length on one side of the cube. Find the surface area and the volume of cube with a length of 2 m

Answer:  Function

Step-by-step explanation:

I know bc im a teacher

Answer:

Step-by-step explanation:

here you go hit this link

Answer: Price per Bag * Number of Bags = $1 * x = R(x)

To find the break-even point for the popcorn business, you need to find the number of bags of popcorn that need to be sold in order to cover the total cost, which includes the fixed cost of the machine and the variable cost of the consumables.

Calculate the cost per bag of popcorn for the consumables:

$15 for every 100 bags of popcorn ÷ 100 bags = $0.15 per bag.

Write an equation for the total cost as a function of the number of bags of popcorn made:

Total Cost = Variable Cost + Fixed Cost

Variable Cost = $0.15 * Number of Bags

Total Cost = $0.15 * Number of Bags + $450

Let C(x) represent the total cost where x is the number of bags of popcorn.

C(x) = $0.15 * x + $450

Write an equation for the revenue as a function of the number of bags of popcorn sold:

Revenue = Price per Bag * Number of Bags

Price per Bag = $1

Revenue = $1 * Number of Bags

Let R(x) represent the revenue where x is the number of bags of popcorn.

R(x) = $1 * x

Set the revenue equation equal to the total cost equation and solve for x, the number of bags of popcorn that need to be sold to reach the break-even point:

R(x) = C(x)

$1 * x = $0.15 * x + $450

$0.85 * x = $450

x = $450 ÷ $0.85 = 529 bags

Therefore, the business club needs to sell 529 bags of popcorn in order to reach the break-even point and cover their costs.

Step-by-step explanation:

Answer: look at the image for the answer and the solution

Step-by-step explanation:

6 1/4 km: 1 1/4 minutes is the right answer

The required distance around the hat is approximately 21.35 inches.  Option C is correct.

To find the circumference of a circle, we use the formula C = πd, where C is the circumference, π is the mathematical constant pi (approximately equal to 3.14), and d is the diameter of the circle.

Here,
The distance around a circle is given by the formula circumference = π × diameter.

Substituting the given values, we get:

circumference = 3.14 × 6.8

circumference = 21.352

Rounding to the nearest hundredth, we get:

circumference ≈ 21.35 inches

Therefore, the distance around the hat is approximately 21.35 inches.

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Answer:

Therefore, the circumference of the circle is 6π yards.

Step-by-step explanation:

The circumference of a circle can be calculated using the formula C = 2 * π * r, where r is the radius of the circle.

In this case, we have a segment drawn from one point on the circle through the center to another point on the circle labeled 6 yards, which is equal to the diameter of the circle. So, the radius of the circle is 6 yards / 2 = 3 yards.

Plugging this into the formula, we have:

C = 2 * π * 3 = 6 * π

Therefore, the circumference of the circle is 6π yards.

Answer: 135 degrees

Step-by-step explanation:

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because the sum of 130° and 50° is equal to 180°.

Using that, you know that angles t and s are equal to 180 degrees. You also know that angle t is 3 times the measure of angle s.

Therefore, we can create this equation.

3s + s = 180

4s= 180

s = 45

Angle s is 45 degrees.

180 - 45 = 135

Angle t is 135 degrees.

Answer:

Step-by-step explanation:

jbariupbwaurcibrievb

Answer:

Step-by-step explanation:

so you spilt the shape in half.

cut out the top of the T. letssolve the top part.

10 times 2 times 5.

(equals 100)

and then lets solve the little rectangle at the bottom. 2 times 3 times 2 is 12.

(dont forget to add!)

100+12 is 112.

the answer is the 3rd from the top.

hope this helps.

Answer:

The solution is B. 2 2/10

Step-by-step explanation:

[tex]6 \frac{8}{10} - 4 \frac{6}{10} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = (6 - 4) + ( \frac{8}{10} - \frac{6}{10} ) \\ = 2 + ( \frac{2}{10} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 2 \frac{2}{10} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Answer:

10.4 miles

Step-by-step explanation:

Write an equation for the total cost paid as a function of the # of miles driven:

L(x) = $6.75 + ($3.20/mile)x

and set this equal to $40.03 to determine the # of miles Lupita rode:

L(x) = $6.75 + ($3.20/mile)x = $40.03

Isolate the x term by subtracting $6.75 from both sides:

($3.20/mile)x = $40.03 - $6.75 = $33.28

Finally, divide both sides by  ($3.20/mile):

x = $33.28 /  ($3.20/mile)

 =  10.4 miles

Lupita rode 10.4 miles in the taxi.

Answer: look at the image for the answer and solution

Step-by-step explanation:

The price of fuel A is increasing by 4% per month. the fuel B recorded a greater percentage change in price over the previous month, with an average increase of about 6%.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per cent refers to one hundred percent.

Part A:  From the coefficient of the term (1.04)^x in the function f(x) = 2.96(1.04)^x it can be seen that the price of fuel is increasing by 4% per month. 1.04, represents the increase in price each month and exponent, x represents the number of months. The coefficient of 2.96 represents the starting price.

And hence, the price of fuel A is increasing by 4% per month

Part B: To determine the percentage change in price between each month, we need to calculate the percentage increase or decrease from the previous month's price.

For fuel A, the percentage change in price each month is given by:

100 * (1.04 - 1) = 4%

For fuel B, we can calculate the percentage change in price for each month from the table:

Percentage change:

Between months 1 and 2: 100 * (3.22 - 3.04) / 3.04 = 6.58%

Between months 2 and 3: 100 * (3.41 - 3.22) / 3.22 = 5.19%

Between months 3 and 4: 100 * (3.61 - 3.41) / 3.41 = 6.50%

Therefore, the fuel B recorded a greater percentage change in price over the previous month, with an average increase of about 6%.

The price of fuel A is increasing by 4% per month. the fuel B recorded a greater percentage change in price over the previous month, with an average increase of about 6%.

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Answer:

8(3s + 7t)

Step-by-step explanation:

Factor 8 out of 24s + 56t.

Answer:

21ft

Step-by-step explanation:

We are given that the support post is 10 ft tall.

Let x represents the distance between the support post and the front of the house, that means that 25-x will be the distance from back.

By Geometric Mean Theorem, the length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

So, by the previous Theorem, we get:

We got that the distance between the support post and the front of the house is 4 ft, while the distance between the support post and the back of the house is  ft.    

Answer:

Step-by-step explanation:

more.

The sum of 0.26 + 0.9 0.26+0.9 0.26+0.9 is more than 1. As we know when 0.9 is added with anything more than 0.1 we will get the result more than 1. So in this case 0.9 is added with 0.26 which is more than 1.

Answer: 25 is the answer (look at the image for the explanation)

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

We need to use the formula of area of a triangle to solve this. The formula is (1/2) * base * height. Here, the base is the distance from the line x = -4 to (2, 2), so the base is 6 units. The height is the difference from (-4, 4) and (-4, -3), which is 7 units. Thus, the area is (1/2) * 6 * 7 = 21 square units

ax+by=a−b .......... (1)

bx−ay=a+b .......... (2)

Multiply equation (1) with a  and  equation (2) with b ,

a

2

x+aby=a

2

−ab ..........(3)

b

2

x−aby=ab+b

2

 ......... (4)

Adding (3) and (4), we get,

(a

2

+b

2

)x=a

2

+b

2

⇒x=1

Now, from (1),

ax+by=a−b

a+by=a−b

by=−b

y=−1

Answer:

The equation  represents a polynomial equation in which the variables X, y, and z are raised to the third power and are equal to a constant value "k".The degree of the polynomial is 3, meaning that the highest power of the variable is 3. The equation has no solution if k is not a sum of three cubes of real numbers.A polynomial equation is an equation that involves one or more variables raised to apower, or exponent, and can include constants and coefficients. The sum or difference of two or more such equations is also a polynomial equation. The degree of a polynomial equation is the highest power of the variable in the equation. For example, in the equation , the degree is 2 because the highest power of the variable X is 2.A polynomial equation of degree one is a linear equation, and a polynomial equation of degree two is a quadratic equation. The solutions of a polynomial equation of degree n will be n roots/solutions. The solutions can be real or complex numbers.

Answer: A(5)

Step-by-step explanation:  First we need to convert 1/5 to 2/10 so we not work with the fractions. So 2/10 apps were social media and 7/10 were games so we can add those together to get 9/10. So 9/10 apps are not educational. We know 50÷10=5 so 5×9=45 so 45 apps are non-educational so that means 5 apps are educational.

Hope this helps!

1/5 of 50 = 10

7/10 of 50 = 35

1/10 of 50 = 5

there would be space for 5 educational apps  <3

Answer:

The sister is 13 years old.

Step-by-step explanation:

Let the boy's age = b.

Let the sister's age = s.

b + s = 32

b = s + 6

s + 6 + s = 32

b = s + 6

2s + 6 = 32

b = s + 6

2s = 26

b = s + 6

s = 13

b = 13 + 6

s = 13

b = 19

Answer: The sister is 13 years old.

Answer: 84 (look at the image for the solution)

Step-by-step explanation:

the probability of rolling a sum of 4 when rolling a 6-sided die twice is,

⇒ 3 / 36.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Now, To determine the probability of rolling a sum of 4 when rolling a 6-sided die twice, we need to first find all the possible outcomes when rolling a die twice.

Since, There are 6 possible outcomes when rolling a single die:

1, 2, 3, 4, 5, or 6.

Now, When rolling two dice, we can combine each of these outcomes with every other outcome.

Hence, This gives us a total of 6 x 6 = 36 possible outcomes when rolling two dice.

Thus, To find the number of outcomes that add up to 4, we can list them out:

1 + 3

2 + 2

3 + 1

So, there are three possible outcomes that add up to 4.

Hence, To find the probability of rolling a sum of 4, we need to divide the number of outcomes that add up to 4 by the total number of possible outcomes:

⇒ P(sum of 4) = 3/36

Therefore, the probability of rolling a sum of 4 when rolling a 6-sided die twice is 3 / 36.

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Answer: The answer is 25

Step-by-step explanation:

Answer:

32 (B)

Step-by-step explanation:

Because there is a total of 96 apples and oranges, you would divide 96 by 12 because 4 + 8 = 12. 96/12 is 8, so we know that each part (1 part of the ratio) would be 8. Since we are finding the number of oranges, you would multiply 4 x 8 which is 32. (B)

Answer:

(a) A=10ft

B=2ft

C=5ft

D=2ft

(b) 160ft^2

Answer:

1. 9, 4

2. 46, 10

3. 18, 14

4. 10, 14

5. 17, 32

6. 5, 7

7. 3, 70

8. 3, 20, 10

9. 7, 16

10. 7, 5

11. 9, 120

12. 12, 1

Step-by-step explanation:

Definition of coefficient. Your welcome :)