How do you find the length width and height of a rectangular prism with the volume?.

Answers

Answer 1

To find the length, width, and height of a rectangular prism with the volume, you need to know the formula for volume of a rectangular prism. The formula is V=lwh, where l is the length, w is the width, and h is the height.

A rectangular prism is a three-dimensional figure with six faces that are all rectangles. The length, width, and height of a rectangular prism can be found using the formula V=lwh, where V is the volume, l is the length, w is the width, and h is the height. To solve for one of the variables, you need to rearrange the equation. For example, to solve for h, you would rearrange the equation to h=V/lw. This would give you the height in terms of the other two variables.

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Related Questions

question 7 options: in the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00. find the probability of winning if you pick the number 30 and it comes up on the wheel.

Answers

The probability of winning by picking the number 30 in roulette is 1/38.

In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.

To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.

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Solve the following word problems.
Trisha purchased 3 blouses at $32.50 each, 2 packages of 6 pairs of
socks costing $7.50 per package, and 4 pair of hosiery costing $2.19
each. Sales tax was 6.5%.
72. How much sales tax did Trisha pay?
73. What was Trisha's total invoice including tax?

Answers

Answer:

72.$7.88

73. $129.14

Step-by-step explanation:

cuando un número es representado en notacion científica con exponente negativo¿ Hacia dónde se recorre el punto decimal para escribirlo en número normal ?​

Answers

Answer:

El decimal siempre va a la izquierda.

Step-by-step explanation:

Mueve el decimal el número de veces que el exponente es. Por ejemplo: 5.3x10^-2. En el 5.3 vas a mover el decimal 2 veces a la izquierda.

0.053

Log5(36)-Log5(9)

-
-
-


Condense following logarithms.

Answers

Given:

The expression is:

\(\log_5(36)-\log_5(9)\)

To find:

The simplified form of the given expression.

Solution:

We have,

\(\log_5(36)-\log_5(9)\)

It can be written as:

\(\log_5(36)-\log_5(9)=\log_5\dfrac{36}{9}\)              \([\because \log_m\dfrac{a}{b}=\log_ma-\log_m b]\)

\(\log_5(36)-\log_5(9)=\log_54\)

Therefore, the simplified form of the given expression is \(\log_54\).

Plzzzz helppppp meeeeee

Plzzzz helppppp meeeeee

Answers

12 feet because that’s where graph lines up

Answer:

The answer is 12.

Explanation:

The bottom is seconds, and on the left side it is feet.

Look at the bottom and find the number 1.5.

Stop there on the line and move up until you hit the dark blue line.

It stops at 12. So that is your answer.

I hope this helps! Have a nice day!

The expected variability or standard deviation of the means from many different random samples is known as what quantity?

Answers

This declaration is True.

The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.

What is the standard deviation of the sample means also called?

The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.

What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?

Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.

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The given question is incomplete, complete question is:

The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter

HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE
Answer the question correctly and i'll give brainliest

HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE Answer the question correctly and i'll give

Answers

Answer:

what are the answer choices

Step-by-step explanation:

Which statement is true about the equation f(x)=g(x) given f(x)=2x+3 and g(x)=x^2? please help

Answers

Answer:

x=3 and x=-1

Step-by-step explanation:

If f(x)=g(x), then 2x+3=x^2:

x^2-2x-3=0

(x-3)(x+1)=0

x=3 and x=-1

We can conclude that the statement:

There are values of x for which f(x) = g(x)" is true.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To determine which statement is true about the equation f(x) = g(x) given f(x) = 2x + 3 and g(x) = x²,

We can substitute the expressions for f(x) and g(x) into the equation and simplify:

f(x) = g(x)

2x + 3 = x^2

Now we have a quadratic equation.

We can rearrange it to standard form and solve for x using the quadratic formula:

x² - 2x - 3 = 0

a = 1, b = -2, c = -3

x = (-b ± √(b² - 4ac)) / 2a

x = (2 ± √(16)) / 2

x = (2 ± 4) / 2

x = -1 or x = 3

Therefore,

The equation f(x) = g(x) is true for some values of x, namely x = -1 and x = 3.

Thus,

Based on this, we can conclude that the statement "There are values of x for which f(x) = g(x)" is true.

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9t-(2t-4)=25 I’m not sure how to use the distributive property to solve for t

Answers

Answer:

t = 3

Step-by-step explanation:

Given: 9t - (2t - 4) = 25

Distributive property: a(b + c) = ab + ac

1. Distribute '-' or '-1'

9t + -1(2t) + -1(-4) = 25

9t - 2t + 4 = 25

2. Combine like terms

7t + 4 = 25

3. Subtract 4 from both sides

7t + 4 - 4 = 25 - 4

7t = 21

4. Divide both sides by 7 to isolate the variable

7t ÷ 7 = 21 ÷ 7

t = 3

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(b) Problem 15: Find the rate of change for this two-variable equation. y-x = 10 ​

Answers

The rate of change for the equation y - x = 10 is 1.

To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.

We can rewrite the equation as y = x + 10 by adding x to both sides.

Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.

In other words, as x increases by 1 unit, y will increase by 1 unit as well.

As a result, 1 represents the rate of change for the equation y - x = 10.

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A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $752. Let x represent the price of one ticket. What is the price of one ticket?

Answers

The price of the ticket is $169.

Travel insurance

$19 per ticket

Total cost

$752

x = price of the ticket

Equation for the total cost

752 = 4(x+19)

x + 19 = 752/4

x + 19 = 188

x = 188 - 19

x = $169

Find the curl of the vector field F.
F(x,y,z) = x sin(y) i - y cos(x) j + yz2 k
____ i + ____ j + _____ k

Answers

The components of the curl of F are 0, cos(x), and 0.

curl(F) = cos(x) j

We have,

The curl of the vector field F is given by:

curl(F) = (∂Q/∂y - ∂P/∂z) i + (∂P/∂z - ∂R/∂x) j + (∂R/∂x - ∂Q/∂y) k

where P, Q, and R are the components of F.

In this case, we have:

P(x,y,z) = x sin(y)

Q(x,y,z) = -y cos(x)

R(x,y,z) = yz^2

So, we need to compute the partial derivatives:

∂P/∂z = 0

∂Q/∂y = -cos(x)

∂R/∂x = 0

∂P/∂y = x cos(y)

∂Q/∂z = 0

∂R/∂y = z^2

∂P/∂x = sin(y)

∂Q/∂x = y sin(x)

∂R/∂z = 2yz

Now,

curl(F) = (0 - 0) i + (0 + cos(x)) j + (0 - 0) k

= cos(x) j

So the components of the curl of F are 0, cos(x), and 0.

Thus,

The components of the curl of F are 0, cos(x), and 0.

curl(F) = cos(x) j

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BRAINLIEST TO CORRECT ANSWER!!! NO links as answers, or you will be reported!! (question 4)

BRAINLIEST TO CORRECT ANSWER!!! NO links as answers, or you will be reported!! (question 4)

Answers

Answer:

Hello! Your answer would be, C) Divide by 2

Step-by-step explanation:

And plz don't be mean. :(

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Identify the maximum value of the function y = -6x^2- 12x - 1

Answers

Answer:

The maximum value is 5

Step-by-step explanation:

Since this is an upside-down parabola, the maximum value occurs at the vertex. Using -b/2a, we can find the x-value of the vertex and use that x value to plug back into the original function to find the maximum value.

x = -b/2a = -(-12)/(2(-6)) = 12/-12 = -1

f(-1) = -6(-1)^2-12(-1)-1 = 5

Find the equation of the tangent plane to the surface z Z-1.87375x-0.44452y=-2.29455 e2r/17 In (3y) at the point (-1, 2, 1.59289).

Answers

To find equation of tangent plane to surface at the point (-1, 2, 1.59289), we need to calculate the partial derivatives .The equation of the tangent plane to surface at the point (-1, 2, 1.59289) is 1.59289x + y - 2.76279 = 0.

Using these derivatives and the point coordinates, we can write the equation of the tangent plane in the form ax + by + cz + d = 0.

First, we find the partial derivatives of the surface equation:

∂z/∂x = -1.87375

∂z/∂y = -0.44452

Next, we substitute the coordinates of the given point (-1, 2, 1.59289) into the equation of the tangent plane:

-1.87375(-1) - 0.44452(2) + c(1.59289) + d = 0

Simplifying, we get:

1.87375 + 0.88904 + 1.59289c + d = 0

Rearranging the terms, we have:

1.59289c + d = -2.76279

Therefore, the equation of the tangent plane to the surface at the point (-1, 2, 1.59289) is 1.59289x + y - 2.76279 = 0.

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Determine whether the ratios are equivalent.
5:7 and 20 : 28
o equivalent
o not equivalent

Answers

5 x 4 = 20
7 x 4 = 28

5:7 = 20:28

When you multiply both by 4, they equal the outcome on their side of the function, making them equivalent

(Sorry if function isn't the right word)

Amanda takes out a loan of $1,200 from a bank that charges 5.4% interest a year. If she borrows the money for 1.5 years, how much money does she repay

Answers

The amount Amanda repays is $1297.20.

How much is repaid?

The amount Amanda repays is the sum of the loan and the interest accrued. The interest accrued is a function of the loan amount, time and interest rate.

Amount repaid = loan amount + interest

Interest = loan amount x interest rate x number of years

$1200 x 0.054 x 1.5 = 97.20

Amount repaid = $97.20 + $1200 = $1297.20

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I cannot figure this out for the life of me! Can someone help me out? Ignore the stuff written down.

I cannot figure this out for the life of me! Can someone help me out? Ignore the stuff written down.

Answers

Answer: 656 square units

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

Explanation:

Focus on the slanted side of the parallelogram, which is 26 units long. The opposite side to this is also 26 units long since opposite sides of any parallelogram are always congruent.

Now turn your attention to the triangle formed by that dashed line. Specifically this is a right triangle. It has a legs of x and 10, where x is the unknown height (also the height of the parallelogram). The hypotenuse of this right triangle is 26 units as mentioned in the previous paragraph.

Use the pythagorean theorem to find x

a^2+b^2 = c^2

10^2+x^2 = 26^2

100+x^2 = 676

x^2 = 676-100

x^2 = 576

x = sqrt(576)

x = 24

This is a 10,24,26 right triangle, which is based on the 5,12,13 right triangle (divide every part by 2)

-------------------

Now that we know the height of the parallelogram, the area is simply base times height

area of parallelogram = base*height = 32*24 = 768

Then we subtract off the area of the shaded gray rectangle, so we subtract off 7*16 = 112 to get 768 - 112 = 656 and this is the area of the unshaded region inside the parallelogram.

-------------------

Side note: The hypotenuse of 10*sqrt(2) you wrote down would only be correct if that dashed height line was 10 units.

What is the length of side s of the square shown below?

What is the length of side s of the square shown below?

Answers

Answer:

3√2

Step-by-step explanation:

Pythagoras says s²+s²=6²

so

2s² = 36

s = √18 = √9·2 = √3²·2 = 3√2

Answer:

C

Step-by-step explanation:

The diagonal splits the square into 2 right triangles with hypotenuse 6

Using Pythagoras' identity in one of the right triangles.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

s² + s² = 6²

2s² = 36 ( divide both sides by 2 )

s² = 18 ( take the square root of both sides )

s = \(\sqrt{18}\) = \(\sqrt{9(2)}\) = \(\sqrt{9}\) × \(\sqrt{2}\) = 3\(\sqrt{2}\) → C

a relation that contains no repeating groups and has nonkey columns solely dependent on the primary key but contains determinants is in which normal form?

Answers

A relation that contains no repeating groups and has nonkey columns solely dependent on the primary key but contains determinants is in the third normal form (3NF).

In this form, every monkey column of the relation is determined by the primary key and has no transitive dependencies on any other monkey column. This means that every column in the relation is uniquely identified by the primary key, and there are no redundant data in the relation. Therefore, the relation is free from anomalies such as update, deletion, and insertion anomalies. The third normal form is considered the most commonly used normal form in the relational database design, and it ensures data integrity and consistency. In summary, a relation that meets the criteria mentioned in the question is in 3NF.

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Unfortunately you injected lidocaine intra-arterially. The first sign of lidocaine toxicity would be, except....
a. circumoral numbness
b. tongue paresthesia
c. dizziness
d. cold

Answers

If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.

The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.

Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.

If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.

In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.

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Suppose you obtain a 25-year mortgage loan of $198,000 at an annual interest rate of 8.6%. The annual property tax bill is $965 and the annual fire insurance premium is $489. Find the total monthly payment for the mortgage, property tax, and fire insurance. (Round your answer to the nearest cent.)

Answers

The total monthly payment for the mortgage, property tax, and fire insurance is $1,684.33.

To find the total monthly payment for the mortgage, property tax, and fire insurance, we need to calculate the monthly mortgage payment, and then add the monthly property tax and fire insurance amounts.

First, let's calculate the monthly mortgage payment using the loan amount, interest rate, and loan term. We can use the formula for calculating the monthly payment on a fixed-rate mortgage:

\(M = P * (r * (1 + r)^n) / ((1 + r)^{n - 1})\)

Where:

M = Monthly mortgage payment

P = Loan amount

r = Monthly interest rate (annual interest rate divided by 12)

n = Total number of payments (loan term multiplied by 12)

Loan amount (P) = $198,000

Annual interest rate = 8.6%

Monthly interest rate (r) = 8.6% / 12 = 0.7167%

Loan term = 25 years

Total number of payments (n) = 25 years * 12 = 300

M = $198,000 * (0.007167 * (1 + 0.007167)^300) / ((1 + 0.007167)^300 - 1)

M ≈ $1,563.16 (rounded to the nearest cent)

Next, let's calculate the monthly property tax and fire insurance amounts by dividing the annual amounts by 12:

Monthly property tax = $965 / 12 ≈ $80.42 (rounded to the nearest cent)

Monthly fire insurance = $489 / 12 ≈ $40.75 (rounded to the nearest cent)

Finally, let's find the total monthly payment by adding the monthly mortgage payment, property tax, and fire insurance:

Total monthly payment = Monthly mortgage payment + Monthly property tax + Monthly fire insurance

Total monthly payment ≈ $1,563.16 + $80.42 + $40.75 ≈ $1,684.33 (rounded to the nearest cent)

Therefore, the total monthly payment for the mortgage, property tax, and fire insurance is approximately $1,684.33.

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What is the answer to this question?

What is the answer to this question?

Answers

Answer:

Lets consider the rectangle Area= l × w Hence: 12 cm × 6 cm= 72 cm^2 I do quizzes and exams if your interested

Step-by-step explanation:

a. area of rectangle=lxh

lxh

12x6

=72

b.area of triangle =1/2xbxh

1/2xbxh

1/2x3x6

=9

c.area of triangle =1/2xbxh

1/2xbxh

1/2x3x6

=9

d.a=l^2

=6x6

=36

If the m<5 = 63 degrees, find the measure of <3

Answers

Answer: 117?

Step-by-step explanation:

If you have 6 pieces of plywood
that are 4'x8', how many total
1xl pieces can you get out if
you use all of them?

Answers

Answer:192

Step-by-step explanation:

Calculate the area l*w or s*s

Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here

4*8=32/1=32*6=192

What is the domain of the function y = 2 e Superscript x graphed below? On a coordinate plane, a curve starts in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2). all real numbers greater than 2 all positive real numbers all negative real numbers all real numbers

Answers

Answer:

The answer is all real numbers.

Step-by-step explanation:

I just took it and got a 100 on EDG 2020.

Answer:

It's D - all real numbers

Step-by-step explanation:

on edge 2021

(b) In a sale the original prices are reduced by 15%.
(i)
Calculate the sale price of a book that has an original price of $12

Answers

Answer: $10.20

Step-by-step explanation:

convert the percentage to a decimal: 0.15

multiply the decimal 0.15 by the original price, $12, to find the amount that it will be discounted by: $1.80

subtract the discount from the original price: $10.20

Answer:

$9

Step-by-step explanation:

reduced price=15%*$12

= 15/100*$12

= $3

Sale price=original price - reduced Price

=$12-$3

=$9

if j = 2 evaluate the following expression using substitution

Answers

7xv4-2=pink nike tech

Let Y 1 ,Y2 and Y3 be independent and identically distributed random variables with expectation E[Yi ]=μ and variance V[Yi ]=σ 2
for i=1,2,3. Suppose we want to estimate the expectation μ, and we propose to combine our three observations Y 1 ,Y2 and Y3 by defining a weighted average: Yˉω =ω1 Y1+ω 2Y2 +ω3 Y3 where ω1 ,ω2 and ω3

are constants between 0 and 1 . 1 (a) Calculate E[ Y
ˉ
ω

]. What condition do the weights ω 1

,ω 2

and ω 3

need to satisfy for Y
ˉ
ω

to be an unbiased estimator for μ ? (b) Calculate V[ Y
ˉ
ω

]. Using the condition you found on (a), find the set of weights that minimize the variance of Y
ˉ
ω

. Justify your answer. Now suppose that observations Y 1

,Y 2

and Y 3

are independent and have the same mean μ, but they have different variances. Specifically, V[Y 1

]=V[Y 2

]=σ 2
and V[Y 3

]=2σ 2

Answers

a.) The weights, ω1 + ω2 + ω3 = 1. b.) The weights, V[Y_bar ω] = ω1²V[Y1] + ω2²V[Y2] + ω3²V[Y3] = ω1²σ² + ω2²σ² + ω3²σ² = σ²(ω1² + ω2² + ω3²). To estimate the expectation μ, we propose combining three independent and identically distributed random variables Y1, Y2, and Y3 using a weighted average, Y_bar ω = ω1Y1 + ω2Y2 + ω3Y3.

(a) The weights ω1, ω2, and ω3 need to satisfy the condition ω1 + ω2 + ω3 = 1 for Y_bar ω to be an unbiased estimator for μ. The expectation E[Y_bar ω] is calculated as E[Y_bar ω] = ω1E[Y1] + ω2E[Y2] + ω3E[Y3] = ω1μ + ω2μ + ω3μ = (ω1 + ω2 + ω3)μ. For Y_bar ω to be an unbiased estimator for μ, its expectation should equal μ. Therefore, ω1 + ω2 + ω3 = 1.

(b) The variance V[Y_bar ω] can be calculated as V[Y_bar ω] = V[ω1Y1 + ω2Y2 + ω3Y3]. Since Y1, Y2, and Y3 are independent, the variance of their sum is the sum of their variances. Therefore, V[Y_bar ω] = ω1²V[Y1] + ω2²V[Y2] + ω3²V[Y3] = ω1²σ² + ω2²σ² + ω3²σ² = σ²(ω1² + ω2² + ω3²). The variance of Y_bar(ω) can be calculated, and by applying the condition from (a), the set of weights that minimize the variance can be determined.

To minimize the variance, we can apply the condition from (a), ω1 + ω2 + ω3 = 1, and use a technique called Lagrange multipliers. By introducing the Lagrange multiplier λ, we form the Lagrangian L = σ²(ω1² + ω2² + ω3²) + λ(ω1 + ω2 + ω3 - 1). Taking partial derivatives with respect to ω1, ω2, ω3, and λ, we can solve the equations to find the set of weights that minimize the variance. The specific values will depend on the given values of σ² and the constraints imposed by the problem.

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The graph represents the relationship between x (the number of owls fed) and y (the number of rev dollars spent). What is the amount of money that will be spent to feed 10 owls? pls hurry

The graph represents the relationship between x (the number of owls fed) and y (the number of rev dollars

Answers

Answer:

Step-by-step explanation:

Since this is a test/homework, I'll give you a hint.

For a linear graph, if you took a ruler, and traced the "dots", it should always be in a straight line.

Another way, is finding a pattern. I can't really explain this so much, since it's fairly basic. Just find two dots, and see if they are similar in any way. If they are, good job! Find another. If their isn't, maybe try searching for another.

The third way: You could use the equation mx+b=y, but this is just a bit ridiculous for this problem, since you could just eye it.

Hope this helps!

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How are the three economic questions answered in a command economy. How do you find the relationship between zeros and the coefficients of a cubic polynomial?. ) A manufacturer estimates marginal revenue to be 500q 9-1/2 dollars per unit when the level of production is q units each hour. The corresponding marginal cost has been found to be 0.2q dollars per unit. If the manufacturer's profit is 1000 dollars when the hourly level of production is 49 units, what is the profit when the level of production is 81 units each hour? Profit = The camping supply store sells bags of charcoal in a 20 pound size for 5.79 the same brand sells a 50 pound size for 14.29 Wich is the better buy explain an investment of $25 at an annual rate of 10% will return a higher value in five years than $50 invested at an annual rate of 5% in the same time. how many germans respond to hitler and the nazi party? why did they respond this way? Find YW.please help [[Please Explain]] The equation y - 2/3 = -2 (x - 1/4) is written in point-slope form. What is the equation in slope-intercept form? O y = -2x - 1/6O y = -2x + 7/6O y = -2x + 5/12O y = -2x - 11/12 Consider an economy where we have 200 consumers. All 100 Type A individuals have an identical utility function given by U = (X). (X)-a, a (0, 1) where X is the amount of good 1 consumed and X is the consumption level of good 2. All 100 Type B individuals have an identical utility function given by UB= (X). (X)-8, B (0, 1), where X is the amount of good 1 consumed and X2 is the consumption level of good 2. All the consumers are endowed with labour L and capital K. In the economy there are two firms, firm A and firm B, producing good 1 and good 2 re- spectively with the production function: y = f(l, k) = Min[l, k] for firm A and y = g(l) = 21 for firm B, where I and k represent amount of labour and capital employed in the production process. Type A consumers equally own the first firm and the rest Type B consumers equally own the second firm. All the agents in the economy behave competitively. i) Calculate the equilibrium prices for this economy, assuming the price of capital, good 1 and good 2 as r, p and p2 respectively. Assume the wage rate to be 1. Explain your answer in terms of the capital labour ratio of the economy. ii) Due to some pandemic assume that the labour endowment for all reduces to SL, where 8 (0, 1). Then discuss its impact on the model economy. (7+3) (i) Based on production function, Y= K .H .(AL) 1 , derive contribution of human capital and physical capital on economic growth and show the steady state level of the economy.(ii) Based on question (i) explain what would happen if (a) labour wage dropped by 40%, (5 marks) and (b) mortality rate increased by 25% of total population per year If the cost to mail a letter is 40 cents for mail weighing up to one ounce a and 24 cents for each additional ounce or fraction of an ounce, find the cost of mailing a letter that weighs 79 grams. do not use commas or a units of measurement in your answer. In what form is carbon found in the atmosphere?1. CO22. C6H12063. H204. ATP how does continuity apply to a child's birth weight and length formulate but do not solve the problem. lawnco produces three grades of commercial fertilizers. a 100-lb bag of grade a fertilizer contains 16 lb of nitrogen, 6 lb of phosphate, and 7 lb of potassium. a 100-lb bag of grade b fertilizer contains 20 lb of nitrogen and 4 lb each of phosphate and potassium. a 100-lb bag of grade c fertilizer contains 24 lb of nitrogen, 3 lb of phosphate, and 6 lb of potassium. how many 100-lb bags of each of the three grades of fertilizers should lawnco produce if 26,200 lb of nitrogen, 4,700 lb of phosphate, and 6,600 lb of potassium are available and all the nutrients are used? (let a, b, and c denote the number of bags of grade a, b, and c fertilizer, respectively.) a horizontal spring is lying on a frictionless surface. one end of the spring is attaches to a wall while the other end is connected to a movable object. the spring and object are compressed by 0.062 m, released from rest, and subsequently oscillate back and forth with an angular frequency of 11.4 rad/s. what is the speed of the object at the instant when the spring is stretched by 0.036 m relative to its unstrained length? what are the independent and dependent variables for the 1.05 Measuring Physical Properties Lab Report for the tinyians A soccer ball with mass of 2 kg is moving across an open field. What factor might change its momentum A change in the balls velocity A change in the size of the soccer fieldA change in air temperature A change in the number of players on the field There are 10 producers each with a cost curve C(q) = q2. The demand curve is given by D 2000 10p. Each producer creates a MEC (marginal external cost) of $100 per unit produced. = a) What is the competitive equilibrium quantity produced and consumed? b) What is the efficient quantity? with our current agricultural methods, what would happen if disease or insects ravaged the food crops the united states gets from grasses? solve 3x-y=-12 x+y=18