A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represented by the function below, where x is the number of pounds of coffee roasted. Find the total cost of roasting 80 lb of coffee, disregarding any fixed costs. C'(x)=-.025x+4.50, for x is less than or equal to 100

Answer:

The value of x is 106

Step-by-step explanation:

Let us solve the question

In the given figure

∵ The triangle in the given figure has two sides equal

→ That means the triangle is an isosceles triangle

∴ The triangle is isosceles

∵ In the isosceles triangle, the base angles are equal in measures

∵ The measure of one base angle is 37°

∴ The measure of other base angle is 37°

→ The sum of the measures of the interior angles of a Δ is 180°

∵ 37° + 37° + x = 180°

→ Add the like terms

∴ 74° + x = 180°

→ Subtract 74 from both sides

∵ 74 - 74 + x = 180 - 74

∴ x = 106

∴ The value of x is 106

Answer:

20°

Step-by-step explanation:

ok so if 40 degrees is on one side its also on the side parallel from it

a straight line = 180 degrees

so 180 - 40 = 140

so 7x =140

we now divide 7 on both sides and get x=20 because the 7 cancels out

180 -40 =140

7x = 140

7x/7 =140/7

x=20

Hope I helped?

Answer:

12 / (2+1) + 6 * 2 = 16 (The answer is 16)

Step-by-step explanation:

Step 1: Calculate within parentheses ( 2 + 1 ) : 3

= 12/3 + 6 * 2

Step 2: Multiply and divide (left to right) 12/3 : 4

= 4 + 6 * 2

Step 3: Multiply and divide (left to right) 6 * 2 : 12

= 4 + 12

Step 4: Add and subtract (left to right) 4 + 12 : 16

= 16

Hope this helps out!

Answer:

4.5 inches to the nearest tenth

Step-by-step explanation:

V=4/3πr^3

Divide both sides by 4/3π:

r^3 =  V / 4/3π

r =  ∛ (V / 4/3 π)

When V = 371 inches:

r =  ∛ (371/ 4/3 π)

= 4.46 in

Answer:

Step-by-step explanation:

volume of sphere V = 4/3 π r³

where V = 371 in³

           π = 3.14

find: radius r

solution:

371 = 4 (3.14) r³

         3

simplify:

371 (3) = 4(3.14) r³

371 (3) =  r³

4(3.14)

r³ =  1113  

      12.56

r = \(\sqrt[3]{88.61}\)

r = 4.5 in. therefore, the answer is B.

It will take 1/4 of an hour, or 15 minutes, to fill an empty pool when both pipes are turned on by mistake.

The speed at which a variable changes over a specific amount of time is referred to as the rate of change. It is frequently represented in mathematics as a function's derivative, which gauges how quickly the function's output alters in relation to its input.

We must first ascertain the rates of each pipe in order to solve this issue using the rate of work formula. Let r in and r out represent the corresponding flow rates of the inlet and output pipes.

The rate of the inflow pipe is 1/3 of the pool per hour because it may fill the pool in three hours. The outlet pipe's rate is 1/12 of the pool each hour since it can drain the entire pool in 12 hours.

The net rate is the difference between the inlet and output rates because when both pipelines are operating, they compete with one another:

r_net = r_in - r_out = 1/3 - 1/12 = 1/4 of the pool per hour

This means that the pool will be filled with a net rate of 1/4 of the pool per hour. Using the rate of work formula, we can now solve for the amount of time it takes to fill the pool:

A = r / t

t = r / A

Substituting r_net = 1/4 and A = 1 (since we want to fill one pool), we get:

t = (1/4) / 1 = 1/4 hours

Hence, it will take 1/4 of an hour, or 15 minutes, to fill an empty pool when both pipes are turned on by mistake.

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The real GDP per capita of the Zombie's Land is given as follows:

C. $23,438.

Hence the country is economically healthy, as a GDP per capita of $23,438 is considerably higher than the GDP per capita of the richest countries in the world.

The GDP per capita of a country is obtained by the division of the country's total GDP by the population of the country, hence the equation is given as follows:

GDP per capita = Total GDP/Population.

The parameters for this problem are given as follows:

Hence the GDP per capita is calculated as follows:

GDP per capita = 75,000,000/3,200

GDP per capita = $23,438.

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Answer:

56.52km

Step-by-step explanation:

Circumference = π X D (D = diameter = 2 X radius)

= (3.14) X 18

= 56.52 km

Answer:

7^-25

Step-by-step explanation:

7^1/5^5

7^5^-1*5

7^5^-5

7^5*-5

7^-25

Answer:

7

Step-by-step explanation:

\((7^{\frac{1}{5}})^{5}\)

\(7^{\frac{1}{5}*{5}\)  -- simply, (5 cancels)

7¹

7

Answer:

The answer is

( 6 , - 2)

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(6,- 7); B(6,3)

Step-by-step explanation:

Answer:

y = 16.8

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 15 when y = 12, that is

12 = 15k ( divide both sides by 15 )

\(\frac{12}{15}\) = k, so

k = 0.8 y = 0.8x ← equation of variation

When x = 21, then

y = 0.8 × 21 = 16.8

Answer: Triangle B

Step-by-step explanation: Congruent just means which shape matches the others, like as you see D and F are congruent as well as A, C, and E.

The correct answer is option D.which is -4 ≤ x ≤ 1.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

in the graph, we can see that the value of x is increasing from -4 coordinate of x to the 1 coordinate of x so the interval will be given as -4 ≤ x ≤ 1.

Therefore the correct answer is option D.which is -4 ≤ x ≤ 1.

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Answer:

16%

Step-by-step explanation:

$16.8

Answer: x < 5

Step-by-step explanation:

4 - 4x + 5 + 5x > 3x - 1

9 + x > 3x - 1

10 > 2x

x < 5

Answer:

9+10x

Step-by-step explanation:

Given: g(x)= -3x2 + 5x = -6+5x

    and h(x) = 2x +1

Find: g(h(x+1))

1!

h(x+1)= 2(x+1) +1

        =2x+3

2! substitute h(x+1)in function g(x)

g(h(x+1))= -6 + 5(2x+3)

             = -6+10x+15

             = 9+10x

ps. im not sure (-3x2 + 5x) is -6+5x (-3 multiply 2) or question is not clear

Answer:

SUPRISEEEEEEEEEEEEEEEEEE

Answer:

no

Step-by-step explanation:

they are not cuz

1/4 of 12 is 1/4 *12

while

1/4 divided by 12 is 1/4 ÷ 12

Answer:

yes they are

Step-by-step explanation:

1/4 of 12 is equal to 12/4

The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.

A hypothesis is a put forth explanation for a phenomenon (plural: hypotheses).

A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge.

Despite the frequent confusion between the terms "hypothesis" and "theory," a scientific hypothesis differs from a scientific theory.

A working hypothesis is a theory that has been tentatively accepted and is proposed for future study[1], starting with an informed guess or thinking.

Hence, The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.

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The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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The measure of AC, applying the law of sines, is given as follows:

AC = 6.53.

Suppose we have a triangle in which:

The lengths and the sine of the angles are related as follows:

\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)

The relation for this problem is then given as follows:

sin(40º)/AC = sin(100º)/10

Then the length AC is given as follows:

AC = 10 x sine of 40 degrees/sine of 100 degrees

AC = 6.53.

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The three numbers Rick used are 2, 3, and 15.

To find the three numbers that Rick used, we need to consider the given conditions: the product of the three numbers is 90, one of the numbers is a square number, and the other two are prime numbers.

Let's start by listing the prime numbers less than or equal to 90: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, and 89.

Next, we need to find a square number among these primes. We observe that \(2^2 = 4, 3^2 = 9, 5^2 = 25, 7^2 = 49, and 11^2 = 121\) (which is greater than 90). Therefore, 4 and 9 are the only possible square numbers among the primes.

Now, we can test the product of these prime numbers with 4 and 9 to see if we obtain 90. After trying various combinations, we find that \(2 \times 3 \times 15 = 90\) satisfies all the conditions.

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The adjusted trial balance for revenue in the accounting worksheet is 20,000.

Trial balance in the accounting worksheet is a financial report where the credit entries and debit entries are listed which is used to audit the accounting system of business or organization internally. It is used to confirm that the sum of all credits and debits must be equal.

Here we have the credit of 15,000 for revenues.

Then the trial balance is adjusted with a credit of 5000.

If we have two debits or credits, we will add them.

So the adjusted trial balance = 15,000 + 5,000 = 20,000

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Answer:

x=12

Step-by-step explanation:

hope this helps

Answer:

0.4 is the whole number 5/12 is the fraction

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

4+ (-2)^3

-2 *-2*-2 = -8

4 + -8

-4

Answer:

2x^2y(x^2y^2 − 6xy − 4)

Step-by-step explanation:

Step-by-step explanation:

since y=6x

by substitution

-5x+ 2 (6x)= -42

-5x+ 12x=-42

7x= - 42

divide both sides by 7

x= 6

y=6x

y =6*6

y=36

Each lunch would cost 4.75

Yes, the relationship is linear.

The cost of each lunch is $2.639.

The initial amount deposited by her mother is $101.55.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is

y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

From the data itself, we can obtain two points to find the slope the points are

(4, 91) and (9, 67.25).

Slope(m) = (67.25 - 91)/(9 - 4).

Slope(m) = - 2.639.

The cost of each lunch is 2.639.

∴ 67.25 = -(2.639).9 + b.

b = 91.

∴ y = -(2.639)x + 91.

The initial amount put by her mother is 91 + 4(2.639) = $101.55

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The Solution.

The triangle that can be used with sine, cosine, and tangent ratios must have the following characteristics:

1. The triangle must be a right-angled triangle.

2. The triangle must have one of its angles as 90 degrees.

3. Another angle must be indicated as the angle of interest.

4. At least two sides and an angle must be identified/represented with values.

5. The ratios under consideration can be used to find all the angles and all the sides.