4) A company manufactures widgets. The expense function E=8q+12,000 and the
demand function q= -10p +20,000, where p is the price.

a. Express the variable expense V in terms of q, where q is the quantity of widgets
produced

b. Express the total expenso E in terms of p.

c. Determine the Revenue R in terms of p. (Hint: R=p•q).

d. Determine the profit P in terms of p. (Hint: P=R-E).

e. Determine the price that will yield the maximum profit. (Hint: x = -b/2a).

f. Determine the maximum profit.

From the question the transformations that non-rigid is dilation. The correct answer is B.

Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.

Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.

As a result, a dilation is a non-rigid transformation because the size of the image is changing.

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Answer:

I= 81.40

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

I= 880(0.037)(2.5)

I= 81.40

this is your proper answer

hii, how are you

Answer:

15

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Use exponential rules: add the exponents when multiplying, subtract the exponents when dividing.

Answer:

3^9

Step-by-step explanation:

- Rewrite the division as a fraction. 3^8x3^3/3^2

- Multiply

3^8 by 3^3 by adding the exponents.

3^11/3^2

- Cancel the common factor of 3^11 and 3^2

3^9

Answer:

Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5  meters per second.

Step-by-step explanation:

Jason is scuba diving at a constant rate toward the ocean floor.

Equation: \(y= -2.5x- 5\)

x = The number of seconds Jason has been swimming.

y=The depth of Jason in meters  below sea level

General equation : y=mx+c

m = Slope = rate of change per unit

On comparing m = -2.5

Negative signs represents the descending .

So, rate of descending per second = 2.5 m/sec

-5 denotes the initial position below sea level

So, Option D is true

So, Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5  meters per second.

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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Answer:=-36

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Hey there!

In order to answer this question you need to substitute the "y-value"

As you can see, y=8 and we need to put 8 where there is y

8-3+2 is what the equation will look like

Now we can simplify

8-3 is 5 and 5+2 is 7

So your answer is 7

If the probability of observing at least one car on a highway during any 20-minute time interval is 609/625, then the probability of observing at least one car during any 5-minute time interval is 609/2500

Given The probability of observing at least one car on a highway during any 20 minute time interval is 609/625.

We have to find the probability of observing at least one car during any 5 minute time interval.

Probability is the likeliness of happening an event among all the events possible. It is calculated as number/ total number. Its value lies between 0 and 1.

Probability during 20 minutes interval=609/625

Probability during 1 minute interval=609/625*20

=609/12500

Probability during 5 minute interval=(609/12500)*5

=609/2500

Hence the probability of observing at least one car during any 5 minute time interval is 609/2500.

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Answer:

Step-by-step explanation:

x + 2y = 7   ⇒  x = 7 - 2y

- 2x + 3y = 14

- 2(7 - 2y) + 3y = 14

-14 + 4y + 3y = 14

-14 +7y +14 = 14 +14

   7y = 28

     y = 4

x = 7 - 2y = 7-2(4) = 7 - 8 = -1

Answer:

Option A is your answer ☺️

Answer:

x = 5

Step-by-step explanation:

Laws of indices states that if the base is same the power can be added or subtracted. Since this is division, the powers are subtracted.

So, 2x - 3 = 7

or, 2x = 7 + 3

or, 2x = 10

or, x = 10/2

or, x = 5

To compute the characteristic polynomial p(λ) for the matrix A, we need to find the determinant of (A - λI), where λ is the eigenvalue and I is the identity matrix.

The matrix (A - λI) is:

A - λI = [20 - λ, 16; -24, -20 - λ]

The determinant of (A - λI) is:

det(A - λI) = (20 - λ)(-20 - λ) - (16)(-24)

           = λ^2 + 20λ + 400 + 384

           = λ^2 + 20λ + 784

Therefore, the characteristic polynomial p(λ) is λ^2 + 20λ + 784.

To solve for the roots, we set p(λ) equal to zero and solve the quadratic equation:

λ^2 + 20λ + 784 = 0

Using the quadratic formula:

λ = (-b ± √(b^2 - 4ac)) / (2a)

For the given equation, a = 1, b = 20, and c = 784. Substituting these values into the quadratic formula:

λ = (-20 ± √(20^2 - 4(1)(784))) / (2(1))

  = (-20 ± √(400 - 3136)) / 2

  = (-20 ± √(-2736)) / 2

  = (-20 ± √(2736)i) / 2

Since the discriminant is negative, the roots of the equation are complex numbers. Simplifying the expression:

λ1 = (-20 + √(2736)i) / 2

   = -10 + √(684)i

λ2 = (-20 - √(2736)i) / 2

   = -10 - √(684)i

Therefore, the two eigenvalues of the matrix A, with λ1 < λ2, are:

λ1 = -10 + √(684)i

λ2 = -10 - √(684)i

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Answer:  pastel: $2

              brush: $1

              canvas: $4

Step-by-step explanation:

Let P = price of pastels, B = price of brushes, and C = price of canvases.

Write a system of equations to represent the data in the table.

5P + 3B + 2C  =  21   Isela's purchases

2P + 4B + 3C  =  20  Richard's purchases

3P + 2B + 6C  =  32  Elizabeth's purchases

Eliminate one variable.

3(5P + 3B + 2C = 21) &rightarrow; 15P + 9B + 6C= 63 Multiply the first equation by 3.

− (3P + 2B + 6C= 32)  

12P + 7B = 31 Subtract.

2(2P + 4B + 3C = 20) &rightarrow; 4P + 8B + 6C=  40 Multiply the second equation by 2.

− (3P + 2B + 6C= 32)  

P + 6B =  8  Subtract.

Write the 2-by-2 system.

12P + 7B = 31

12P + 6B = 8

Eliminate P, and solve for B.

12(P + 6B = 8)&rightarrow; 12P + 72B= 96 Multiply the second equation by 12.

− (12P + 7B= 31)  

65B = 65  Subtract.

B= 1  Divide both sides by 65.

Use one of the equations in the 2-by-2 system to solve for P.

P + 6B= 8    

P + 6(1) =  8  Substitute 1 for B.

     P= 2  Subtract 6 from both sides.

Substitute for P and B in one of the original equations to solve for C.

5P + 3B + 2C= 21    

5(2) + 3(1) + 2C  = 21   Substitute 2 for P and 1 for B.

10 + 3 + 2C = 21   Multiply.

2C + 13 = 21   Simplify.

2C=  8  Subtract 13 from both sides.

C= 4  Divide both sides by 2.

The solution to the system is (2, 1, 4). Therefore, pastels cost $2, brushes cost $1, and canvases cost $4.

The statement "when conducting a two-tailed test for the population proportion "p," we reject the null hypothesis if the hypothesized value falls outside the confidence interval" is false because confidence interval provides a range of plausible values for the population proportion.

A confidence interval provides a range of plausible values for the population proportion "p" based on the sample data. It quantifies the uncertainty associated with estimating the true proportion. Typically, a 95% confidence interval is used, which means that if we were to repeat the sampling process multiple times, we would expect 95% of the confidence intervals to contain the true population proportion.

When conducting a two-tailed test, we reject the null hypothesis if the hypothesized value (in this case, 0.5) falls outside the confidence interval. In other words, if the hypothesized value is not within the range of plausible values for the population proportion based on the confidence interval, we reject the null hypothesis.

The reason behind this is that if the hypothesized value falls within the confidence interval, it implies that the null hypothesis is still plausible. On the other hand, if the hypothesized value falls outside the confidence interval, it suggests that the null hypothesis is unlikely to be true, and we have evidence to support the alternative hypothesis.

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The length of the arc subtended by the angle's rays in circle is approximately 0.00209 cm.

We must first determine what fraction of the circle is subtended by an angle of 140 degrees.

The fraction of a circle that is subtended by an angle is found by dividing the angle by 360 degrees.  

Therefore, the fraction of a circle that is subtended by an angle of 140 degrees is given by:

140/360 = 7/18

Now, we want to know what the fraction of the circle is in terms of length. The circumference of the circle is given by:

2πr, where r is the radius of the circle.  

1/360th of the circumference of the circle is therefore:

2πr/360

The length of the arc subtended by the angle's rays is therefore:

(7/18)(2πr/360) = πr/90

Therefore, the arc subtended by the angle's rays is (π/90) times as long as 1/360th of the circumference of the circle, which is the answer to the first question.

b)We must multiply 1/360th of the circumference by the fraction found in part a.

We know that 1/360th of the circumference is 0.06 cm long and that the fraction of the circle subtended by the angle is π/90.

Multiplying these two numbers together gives:

0.06 x π/90 ≈ 0.00209

Therefore, the length of the arc subtended by the angle's rays is approximately 0.00209 cm.

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Answer:

g(x) = (2x)²

Step-by-step explanation:

The value of x of the parallelogram is x = 38

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , the diagonals of the parallelogram are AC and BD

The measure of DE = 31

The measure of EB = x - 7

Now , Each diagonal of a parallelogram separates it into two congruent triangles where the measure of AC = BD

So , substituting the values in the equation , we get

BD = BE + DE and BE = DE

On simplifying the equation , we get

31 = x - 7

Adding 7 on both sides of the equation , we get

x = 31 + 7

x = 38

Hence , the measure of x of parallelogram is 38

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Answer:

726 ft

Step-by-step explanation:

The perimeter is the sum of the 4 sides, that is

x + x + 274 + x + 27 + x + 74 = 3279, that is

4x + 375 = 3279 ( subtract 375 from both sides )

4x = 2904 ( divide both sides by 4 )

x = 726

The number of green jellybeans that Shiloh should share, given the ratio of jellybeans is 4 green jellybeans

The ratio of jellybeans is 32 : 56 which means that there are 32 green jellybeans to 56 pink jellybeans.

This means that the percentage of green jellybeans to pink jellybeans is :

= 32 / 56 x 100 %

= 57. 14 %

This means that when 7 pink jellybeans are given, the number of green jellybeans is :

= 57. 14 % x 7

= 4 green jellybeans

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The full question is :

Shilo is sharing jellybeans. The jar of jellybeans has the ratio 32:56. If shilo keeps the ratio the same and gives his friend 7 pink jellybeans, how many green jellybeans would he also share

The total Area is then 160 square units.

The smallest number of coins you could have had before finding the bag of 53 coins is 371. which is more than 200.

There are seven bags, so there are 7x coins in total:

7x = T.

Since the number of coins in each bag must be an integer, (T + 53) must be a multiple of 8. We know that T = 7x, so we can write this as follows:

(7x + 53) ≡ 0

(mod 8)This means that 7x ≡ 3 (mod 8).

The solutions to this congruence are

x ≡ 3, 11 (mod 8).

Since x is a positive integer, we take

x = 11

(the other possibility, x = 3,

leads to a smaller value for T).

Therefore, T = 7x = 77, and the total number of coins after the bag of 53 coins is found is

T + 53 = 130.

After redistributing the coins into eight equal bags, each bag contains 16 coins.

Therefore, the number of coins you had initially was

7x = 77,

so the smallest number of coins you could have had before finding the bag of 53 coins is

77 - 53 = 24.

After redistributing the coins, you had

8 × 16 = 128 coins left,

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The negations for each of the given statements are:

a. P is a square and P is not a rectangle.

b. Today is New Year's Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and n is not odd or n is not 2.

e. x is nonnegative and x is not positive or x is not 0.

f. Tom is Ann's father and Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and n is not divisible by 2 or n is divisible by 3.

To form the negation of a statement, we typically negate each component of the statement and change the connectives accordingly. Here's a breakdown of how the negations were formed for each statement:

a. The original statement "If P is a square, then P is a rectangle" is negated by negating each component and changing the connective from "implies" to "and." The negation is "P is a square and P is not a rectangle."

b. The original statement "If today is New Year's Eve, then tomorrow is January" is negated by negating each component and changing the connective from "implies" to "and." The negation is "Today is New Year's Eve and tomorrow is not January."

c. The original statement "If the decimal expansion of r is terminating, then r is rational" is negated by negating each component and changing the connective from "implies" to "and." The negation is "The decimal expansion of r is terminating and r is not rational."

d. The original statement "If n is prime, then n is odd or n is 2" is negated by negating each component and changing the connective from "implies" to "and." The negation is "n is prime and n is not odd or n is not 2."

e. The original statement "If x is nonnegative, then x is positive or x is 0" is negated by negating each component and changing the connective from "implies" to "and." The negation is "x is nonnegative and x is not positive or x is not 0."

f. The original statement "If Tom is Ann's father, then Jim is her uncle and Sue is her aunt" is negated by negating each component and changing the connective from "implies" to "and." The negation is "Tom is Ann's father and Jim is not her uncle or Sue is not her aunt."

g. The original statement "If n is divisible by 6, then n is divisible by 2 and n is not divisible by 3" is negated by negating each component and changing the connective from "implies" to "and." The negation is "n is divisible by 6 and n is not divisible by 2 or n is divisible by 3."

In each case, the negation presents the opposite condition or scenario to the original statement.

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Answer:

if you make the 3.5 equal 7/2

and the 1.40 equal 7/5 its will be more easier

so7/5 × 7/2 its 4.9

sorry guys its not 4.9 i made mistake with 3.25 i was thinking that it was 3.50 any wwy

i have good method too

we can make 3.25 equal 13/4 and 1.40 equal 7/5 the multiply it

we will find 91/20 but we have problem its The 10 dont worry we can take the 10 from the both number and we will get 9.1/2 and We can devide easily now and the answer is 4.55

sorry iam trying so hard to speak engilish well sorry if u cannot understand me big respet for all the students

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

B. m<QLP = 50° (True)

C. m<NLO + m<OLP = m<NLP (True)

       30°  + 40° = 70°

D. m<QLP + m<PLO = m<MLN + m<NLO (True)

       50° + 40°  = 60°  +  30°