The costs for a new publishing company can be classified as fixed costs, such as rent and insurance, or variable costs, such as materials and labor. Fixed costs are constant, while variable costs change as the number of items produced changes. The graph shows the weekly variable costs based on the number of books produced.

a. If weekly fixed costs are $300, sketch a graph showing total expenses for the week.
b. Find the total cost of producing 75 books in a week.

Answer:

$645.89

Step-by-step explanation:

Answer:

Jasmin rastrilla en dos casas diferentes. le toma 2 1/3 horas rastrillar las hojas al principio. le toma 1/2 de ese tiempo rastrillar en la segunda casa. ¿Cuánto tiempo tarda el jazmín en rastrillar en la segunda casa?

Step-by-step explanation:

Answer:

$143.88

Step-by-step explanation:

Look at image above...

I did not add this to the picture but to get the new total of $137.03, you need to subtract $205.54 (the 60% off) from the original total.

Answer:

is in the shape of a sphere

diameter = 60 feet

radius = r = 60/2 = 30 feet

Step-by-step explanation:

volume of sphere = 4/3 × π × r³

= 4/3 × π × 30³

=4/3π × 27,000

= 36000π cubic feet

Answer:

36000π cubic feet

Step-by-step explanation:

Given :

Solving :

[tex] \huge\mathbb\orange{ANSWER} [/tex]

[tex] \mathsf\green{y = 6}[/tex]

[tex] \mathsf \purple{{y}^{2} - 9y + 2}[/tex]

[tex] \mathsf \pink{ {6}^{2} - 9(6) + 2}[/tex]

[tex] \mathsf \purple{36 - 54 + 2}[/tex]

[tex] \mathsf \pink{ - 16}[/tex]

[tex] \mathbb\green{Hope\:It\:Helps} [/tex]

The percentage of the runners having times less than 14.4 sec is 0.15%. Then the correct option is A.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The times of all 15 years old who run a certain race are approximately normally distributed with a given mean μ = 18 sec and standard deviation σ = 1.2 sec.

The percentage of the runners has times less than 14.4 sec.

Then the z-score will be given as

[tex]\rm z = \dfrac{X - \mu}{\sigma }\\\\\\z = \dfrac{14.4 - 18}{1.2}\\\\\\z = -3[/tex]

Then the percentage will be

[tex]\rm P(z < -3)=0.00135 = 0.135 \% \approx 0.15 \%[/tex]

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Answer:

A.  0.15%

Step-by-step explanation:

edge 2022

Using exponential function concepts, it is found that that the y-intercept and the horizontal asymptote are given by, respectively:

(0, 3); y = 4

It is modeled by:

[tex]y = ab^x + c[/tex].

In which:

In this problem, the equation is:

[tex]y = 4^x + 3[/tex].

Hence the horizontal asymptote is y = 3, and the y-intercept is y when x = 0, hence:

[tex](0,y) = (0, 4^0 + 3) = (0, 4)[/tex]

Which means that the first option is correct.

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Answer:

B. (0, 4) ; y = 3

Step-by-step explanation:

I took the exam for algebra 2

Answer:

3 pounds of bananas

Step-by-step explanation:

1.84 ÷ 0.48 = 3.8333etc

since you can't buy 4 pounds with the money you have its 3 pounds of bananas

Answer:

x= -1 and x= -5

Explanation

y=(x+1)(x+5)

set both equations equal to 0

x+1=0 and x+5=0

subtract each constant from the appropriate  side

x= -1             x=-5

The kind of food that will finish and get used up first is the boxes of granola.

Word problem in mathematics is the use of critical understanding of the problem which then employs basic arithmetic operations, fractions, ratios, algebraic expression, etc to solve real-life problems.

From the parameters given:

The time at which the 65 tubs of yogurt will finish:

= 65/4

= 16th rounds with a remainder of 1 tub

The time at which 16 boxes of granola will finish:

= 16/4

= 4th round

A tub of yogurt is roughly 17 ounces while a box of granola is 1 ounce.

Therefore, we can conclude that the kind of food that will finish and get used up first is the boxes of granola.

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Answer:

51 seats

Step-by-step explanation:

96 = 2 buses minus six seats

96 = 2x -6

102 = 2x

102/2 = x

51 seats

Answer:

268

Step-by-step explanation:

Derivative Rule

On deriving,

Substitute x = 3

Solution:

268

=============================

[tex]\sf \bold{ \rightarrow } \ y = 9x^3 + 4x^2 + x + 3[/tex]

[tex]\sf \bold{ \rightarrow } \ \dfrac{dy}{dx} = \dfrac{d}{dx} ( \ 9x^3 + 4x^2 + x + 3 \ )[/tex]

[tex]| | \ \mathrm{ If \ y = x^n , \ then \ \frac{dy}{dx} = nx^{n-1}} \ | |[/tex]

[tex]\sf derivative \ of \ constant \ is \ always \ 0 \ || \ \sf\dfrac{d}{dx}\left(a\right)=0 \ ||[/tex]

solving step wise

[tex]\sf \bold{ \rightarrow } \ \dfrac{d}{dx} ( 9x^3) + \dfrac{d}{dx}(4x^2) + \dfrac{d}{dx}(x )+ \dfrac{d}{dx}(3 )[/tex]

[tex]\sf \bold{ \rightarrow } \ \sf ( 3(9x^{3-1}) +2(4x^{2-1}) + (1)(x^{1-1} )+ 0[/tex]

[tex]\sf \rightarrow 27x^2+8x+1+0[/tex]

[tex]\sf \rightarrow 27x^2+8x+1[/tex]

when x = 3

[tex]\sf \hookrightarrow 27(3)^2+8(3)+1[/tex]

[tex]\sf \hookrightarrow 243+24+1[/tex]

[tex]\sf \hookrightarrow 268[/tex]

Answer:

3025

Step-by-step explanation: Add the first five square numbers together then square that.

1²+2²+3²+4²+5² = 55

55² = 3025

Answer: 105 square feet

Step-by-step explanation: The answer is 105 square feet because find the area of the pool by multiplying 12 and 20 to get 240. You then want to find the area of the total space. Add 3 to 12 and add 3 to 20. Then multiply 23 by 15 to get 345. You then want to subtract 345 - 240 to get rid of the extra space to get your answer of 105.

Answer:

This is a net

Step-by-step explanation:

Good Luck!!

Answer:

10 trips

Step-by-step explanation:

50kg in a bag, 4535.92 kg in 5 tons

4535.92kg/50kg = 90.7184

90/10 = 9 trips

but there's still 0.7184 bag left, so the pick-up would need to make 10 trips.

A demand curve shows the quantity demanded of a product at each price.

Your information is incomplete as the table isn't given. Therefore, an overview will be given.

A demand curve simply means a graphical representation of the relationship between price and quantity demanded.

In this case, a demand curve shows the quantity demanded of a product at each price. The profit maximizing price is when the marginal cost equals marginal revenue.

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The profit-maximizing price is when the marginal cost equals marginal revenue.

An individual’s utility-maximizing choices can lead to a demand curve.

Demand can be defined as the total amount of goods or services that consumers are willing and able to purchase at a given price.

In Economics, there are primarily two (2) factors that affect the availability and the price at which goods and services are sold or provided, these are demand and supply.

The marginal decision rule—generally produce downward-sloping demand curves.

This section shows how an individual’s utility-maximizing choices can lead to a demand curve.

Hence, The profit-maximizing price is when the marginal cost equals marginal revenue.

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A

y=4x

8/2=4. .and the rest too have the same value

Answer:

B

Step-by-step explanation:

The amount of change Zelma should receive is 20-0.40p, or 20 dollars minus the total amount of the bananas (each pound multiplied by 40 cents).

Answer: Simple the answer is c.

Step-by-step explanation:

First start out with 20 witch is a full number and subtract .40 p from 20

.40 is the cost of each banana and p is the amount of bananas that will be purchased.

Answer:

Step-by-step explanation:

When you take the n-th root of a number, you can rewrite the expression by taking it to the 1/n-th power. For example:

[tex]\sqrt[n]{x} =x^\frac{1}{n}[/tex]

For the first expression, we can use this proprtery to get:

[tex]\sqrt[5]{a^x} =(a^x)^\frac{1}{5}[/tex]

Using exponent rules, you can combine the exponents by simply multiplying them to get:

[tex]a^\frac{x}{5}[/tex]

Moving on to the second expression. It is now the square root, or equivalently a 1/2 power. If we break up the terms under the radical into powers of 2, we can cancel a lot of the terms:

[tex]\frac{\sqrt{81a^3b^1^0} }{\sqrt{3}a } =\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }[/tex]

The a^2 and b^10 can be taken out of the radical because they have perfect roots:

[tex]\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }=ab^5\frac{\sqrt{81a} }{\sqrt{3}a }[/tex]

The square root of 81 has a perfect root of 9. We have:

[tex]ab^5\frac{\sqrt{81a} }{\sqrt{3}a }=9ab^5\frac{\sqrt{a} }{\sqrt{3}a }[/tex]

You can divide 9 and the square root of 3 by breaking up 9 into a product:

[tex]\frac{(3*3)ab^5}{\sqrt{3} } \frac{\sqrt{a} }{a }=3\sqrt{3} ab^5\frac{\sqrt{a} }{a }[/tex]

Simply by cancelling the 'a' terms to get:

[tex]3\sqrt{3} ab^5\frac{\sqrt{a} }{a }={3\sqrt{3}}\sqrt{a}b^5=3b^5\sqrt{3a}[/tex]

The division is one of the four fundamental arithmetic operations. The amount that is needed to be paid by each friend is $74.75.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

As it is given that the total cost of the computer is $299, it is needed to be split between four friends. Therefore, the price will be paid by the four friends equally which can be written as,

[tex]\text{Amount paid by each friend}=\dfrac{\text{Total cost of computer}}{\text{Number of friends}}\\\\\\\text{Amount paid by each friend}=\dfrac{\$299}{4} = \$74.75[/tex]

Thus, the amount that is needed to be paid by each friend is $74.75.

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Answer:

10

Step-by-step explanation:

If you cut each sandwich in half and count how many halves there are, you are essentially multiplying it by 2. 5 times 2 is 10. Therefore, your answer is 10. Hope this helps:)

Answer:

a 9 degrees

Step-by-step explanation:

so I'm not sure but if this is the right answer I think it's 9 so basically you do 14-5=9

Answer:

17 stops on 1 ticket

Step-by-step explanation:

Answer:

17 stops on 1 ticket

Step-by-step explanation:

Step-by-step explanation:

The distance between two points, and is given by:

The endpoints are: Q(-5, -1), R(3, 7)

Point S is (4,-2).

The distance of S to Q is:

The distance of S to R is:

Answer:

1/4 feet

Explanation:

So

Hence.

Answer:

LCM of 3 and 2 is 6

so, firstly we had to make the denominator same:-

[tex] \frac{2(2a + 1) + 3(3a - 1)} {6} [/tex]

[tex] \frac{4a + 2 + 9a - 3}{6} [/tex]

[tex] \frac{13a - 1}{6} [/tex]

Step-by-step explanation:

hope this helps you!!!

XxITSCHOCOLOVERxX

The simplified equation of [tex]\frac{2a+1}{3}+\frac{3a-1}{2}[/tex] is [tex]\frac{13a-1}{6}[/tex]

[tex]\frac{2a+1}{3}+\frac{3a-1}{2}[/tex]

[tex]\frac{2a+1}{3}+\frac{3a-1}{2} = \frac{2(2a+1)+3(3a-1)}{6}[/tex]

open the bracket in the numerator

Therefore,

[tex]\frac{2(2a+1)+3(3a-1)}{6}=\frac{4a+2 + 9a-3}{6}[/tex]

combine like terms in the numerator

[tex]\frac{4a+2 + 9a-3}{6}=\frac{4a+9a+2-3}{6}[/tex]

Hence,

[tex]\frac{4a+9a+2-3}{6}=\frac{13a-1}{6}[/tex]

Therefore, the final equation is as follows

[tex]\frac{2a+1}{3}+\frac{3a-1}{2}=\frac{13a-1}{6}[/tex]

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