Rob is putting up new siding on his house, but his 6 foot ladder is not tall enough to reach the top fo hte house which is 20 feet off
the ground. Rob's wife doesn't want him trampling through the landscape which goes 8 feet from the side of the house. How tall
of a ladder will Rob need to finish the job?

Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²

Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.

The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)

Thus the indirect utility function is undefined.

Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:

Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²

Minimum expenditure function is thus:

Exp = P₁(-) + P₂²

Hicksian demand functions can be derived from the utility function and prices of goods:

H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*

Hicksian demand functions are:

x1** = 2P₁x₂

x₂** = P₂²

If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.

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The equation relating T to N  is T = 560N + 750

A function is defined as an expression or rule that explains or compares the relationship between two variables - the dependent and the independent variable.

From the information given, we have that;

This is represented as;

T = A + B

Substitute the values

T = 165N + 750 + 395N

Collect like terms

T = 165N + 395N + 750

Add like terms

T = 560N + 750

Thus, the equation relating T to N  is T = 560N + 750

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The hydrostatic pressure on the bottom of the aquarium is 4015 lb/ft2. The hydrostatic pressure on the bottom of the aquarium is 96360 lb. The hydrostatic pressure on one end of the aquarium is 97440 lb.

(a) The hydrostatic pressure on the bottom of the aquarium can be found using the formula P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the gravitational acceleration, and h is the depth. In this case, ρ = 62.5 lb/ft3, g = 32.2 ft/s2, and h = 2 ft. The pressure is:

P = ρgh = 62.5 lb/ft3 × 32.2 ft/s2 × 2 ft = 4015 lb/ft2

So the hydrostatic pressure on the bottom of the aquarium is 4015 lb/ft2.

(b) The hydrostatic force on the bottom of the aquarium can be found using the formula F = P A, where F is the force, P is the pressure, and A is the area. The area of the bottom of the aquarium is 6 ft × 4 ft = 24 ft2. The force is:

F = P A = 4015 lb/ft2 × 24 ft2 = 96360 lb

So the hydrostatic force on the bottom of the aquarium is 96360 lb.

(c) The hydrostatic force on one end of the aquarium can be found using the formula F = ρgAh, where A is the area of the end, which is 6 ft × 2 ft = 12 ft2. The depth of the end is 4 ft. So the force is:

F = ρgAh = 62.5 lb/ft3 × 32.2 ft/s2 × 12 ft2 × 4 ft = 97440 lb

So the hydrostatic force on one end of the aquarium is 97440 lb.

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Answer:

Rise it to 2

( x ^2 ) ^2 − 9 ^2 = 0

Step-by-step explanation:

The probability that the next chew Henry removes from the bag will be cherry or watermelon is 8/11.

The probability of Henry selecting a cherry or watermelon chew can be found by adding the number of times he selected a cherry chew and the number of times he selected a watermelon chew, and then dividing that sum by the total number of experiments:

Probability of selecting a cherry or watermelon chew = (Number of cherry chews + Number of watermelon chews) / Total number of experiments

Probability of selecting a cherry or watermelon chew = (20 + 20) / 55

Probability of selecting a cherry or watermelon chew = 40/55

To simplify the fraction, we can divide both the numerator and denominator by 5:

Probability of selecting a cherry or watermelon chew = 8/11

Therefore, the probability that the next chew Henry removes from the bag will be cherry or watermelon is 8/11.

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The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

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Answer: the first one is 14 and the second one is 5

Step-by-step explanation:

Step-by-step explanation:

strange, you solved much more complicated questions. this here is just to calculate a formula with the given parameters.

the only tricky thing, maybe : the % are to be used as decimal (4.5% = 0.045).

so, the balance after 15 years (compounded quarterly, so n = 4) is

3500×(1 + 0.045/4)^(4×15) = 3500×(1.01125)⁶⁰ =

= 3500 × 1.956645179... = 6,848.258127... ≈

≈ $6,848.26

The conclusion made by the homeowner is an example of empirical probability.

Empirical probability, also known as experimental probability, is based on observed data or experiments. In this case, the homeowner is basing their conclusion on their observation that the mail arrived before 3pm on 8 out of 14 days. This is a result of direct observation or experience, rather than being calculated using a mathematical formula or theory.

The homeowner's conclusion is not based on any theoretical probabilities or mathematical calculations, but rather on their observation of past events. Therefore, the conclusion that the probability of the mail arriving before 3pm tomorrow is about 57% is an example of empirical probability.

Therefore, the homeowner's conclusion that the probability of the mail arriving before 3pm tomorrow is about 57% is an example of empirical probability, based on their observation of past events.

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

let's evaluate this expression

\(\pmb{\displaystyle\frac{8-m}{n+p^2} }\)

\(\pmb{\displaystyle\frac{8-8}{2+7^2}}\) (step 1)

\(\pmb{\displaystyle\frac{0}{2+49}}\) (step 2)

simplify:

\(\pmb{\displaystyle\frac{0}{51}}\) (step 3)

\(\pmb{0}\) (step 4)

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

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

William Jones

Step-by-step explanation:

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Answer:

Choice A, 20(3n-m)

Step-by-step explanation:

First, lets combine like terms for the question 54n - 20m + 6n,

60n - 20m.

Next, lets rule out the choices that are visibly wrong. This includes Choice B, because it wouldn't equal what is above and Choice C, as it ignores unlike terms.

Now, it is down to Choices A and D. Let's use the distributive property to simplify these options.

Choice A:

20(3n-m)

60n-20m

Choice D:

20(m-3n)

20m-60m

With this, it can be concluded that the correct answer is Choice A since it equals 60n-20m, which is equal to the original question when like terms are combined.

Answer:

Which inequality has the solution set shown on the graph?

-54n < 1080

-54n > 1080

594 > -11n <<<<<This one

594 < -11n

Step-by-step explanation: I couldnt find my question so here is the answer if you have this on edg :))))

False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

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Answer:

$7.36

2.3 pounds and each is $3.20, it is obvious that you must multiply

Step-by-step explanation:

Mark me brainliest!

Answer:

The domain of a relation is the input (x) values of the relation

** the range of a relation is the output (y) values of a relation

Step-by-step explanation:

The jogger go 1.5 miles to the west.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

i.e., c² = a² + b²; where 'c' is the hypotenuse and 'a' and 'b' are the two legs.

Given:

Jogger run towards north = 0.8 Km (P)

and, distance from starting point = 1.7 Km (H)

Using Pythagorean Theorem:

P²+B²=H², we have:

0.8² + b² = 1.7²

B = 1.7²-0.8²

B = 1.5 miles

Hence, the distance is 1.5 miles.

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It is true that when scores are normally distributed with a mean of 460 and standard deviation of 80, then the probability that an applicant scores below 552 is 0.8329.

Given, a large number of MBA applicants are given an aptitude test. scores are normally distributed with a mean of 460 and standard deviation of 80.

We are asked the probability that an applicant scores below 552.

Now, using the formula of probability, we get

P(X < 552) = 0.8329

when the mean is given i.e. 460 and standard deviation is given i.e. 80.

Hence, it is true that when scores are normally distributed with a mean of 460 and standard deviation of 80, then the probability that an applicant scores below 552 is 0.8329.

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The simple interest fοr 2 years is $318.

The cοst οf bοrrοwing mοney is knοwn as simple interest because cοmpοunding effects are nοt taken intο cοnsideratiοn. Simply said, simple interest sοlely affects the principal sum. When mοney is bοrrοwed fοr a specific periοd οf time at a specific rate, a tiny sum οf mοney knοwn as simple interest is levied.

Here the given ,

Principal P = $3000

Rate of interest = 5.3%

Number of years = 2

Now simple interest = \(\frac{PNR}{100}\)

=> I = \(\frac{3000\times5.3\times2}{100}\)

=> I = $318

Hence the simple interest for 2 years is $318.

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Calculate the simple interest for the following data:

​Principal ​= $3000​;

Annual interest​ rate =5.3​%;

​time 2 years.

Answer:

the 1/2w +22 one is a binomial

Step-by-step explanation:

a binomial is a equation with one two separate numbers AFTER simplifcation. so "1+1" is not a binomial because its equal to just 2, but "1 + x" is a binomial because its simplifed

\(`-√(1-cos 5 A/2)`\) can be expressed as `sin θ`, where \(`θ = -cos(5A/4)`\) in terms of `A`. To express\(-√(1-cos 5A/2)\)as sin θ, where θ is an expression in terms of A, we need to follow the following steps:

Step 1: Evaluate the given expression\(-√(1-cos 5A/2)\) can be written as\(-√(2-2cos(5A/2))/2\)  Now, we will apply the formula  \(sin2θ = 2sin θ cos θ\).

Step 2: Apply the formula \(sin2θ = 2sin θ cos θ\) Here, we will substitute

θ = 5A/4.

sin \(`5A/2` = `2sin 5A/4 cos 5A/4`\\\). Step 3: Substitute the value of sin\(`5A/2`\)in Step 1. Now, \(`-√(2-2cos(5A/2))/2`\)can be written as \(`-√2/2 * √(1-cos(5A/2))`-√2/2 * sin `5A/2` or `-√2/2 * 2sin 5A/4 cos 5A/4`sin θ = `-cos(5A/4)`\)

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Answer:

4

I multiplyed them all by two and then added them to see f it equaled 12 and it did

Answer:

15855 divided by 35=453

There are 40128 peoples fit in 10ft deep and one mile long parade route.

Proportion reasoning:

The process of proportion reasoning involves understanding the multiplicative relationships between rational quantities.

Given:

You can fit 19 people in a 5ft x 5ft square.

Here we need to find the number of peoples in the 10ft x 1 mile parade.

We have to convert miles into feet then,

1 mile = 5280 feet

According to the given details we know that the parade route is in the form of rectangle.

Now we have to find the number of peoples by the following proportions,\(\frac{No.of.Peoples}{Area}=\frac{No.of.People}{Area.of.rectangle}\)

Let us consider the number of people in the rectangle as x.

\(\frac{19}{25}=\frac{x}{52800}\)

Cross multiply them,

=> 19 x 52800 = 25x

=> (19 x 52800) / 25 = x

=> 40128 = x

Therefore, there are 40128 peoples in the parade route.

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Grayson has filled a total of 8  sketchbooks altogether

Say Grayson has filled x sketchbooks at school

From the problem we have that he has filled 3x sketchbooks at home

Also 3x = x + 4

Solving the equation  we get

2x = 4

x = 2

So we can say that  Grayson has filled

2 sketchbooks at school and

3x = 3(2) = 6 sketchbooks at home

hence he has filled a total of 2 + 6 = 8 sketchbooks altogether.

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Answer:

C x = 10  Q = 50

Step-by-step explanation:

supplemantary means adds to 180 deg.

so 130 + 5x = 180

5x = 50 = ang. Q

x = 50/5 = 10 deg.

Answer:

Year 1 and 2

36%

Step-by-step explanation:

Given the data :

Year ______1 ___ 2 ____ 3 ___ 4

Students __ 14 __ 19 ___ 25 __ 33

Greatest growth is observed between year 1 and 2

Growth percent :

(year 2 - year 1) / year 1 * 100%

(19 - 14) / 14 * 100%

5 / 14 * 100%

0.3571 * 100%

= 35. 71%

= 36%

The growth percent between year 1 and 2 is greater than between the other years

Year 2 and 3 = (6/19) * 100% = 31.57%

Year 3 and 4 = (8/25) * 100% = 32%

Answer:

1 and 2 x=32%

Step-by-step explanation:

1. 5/14=x/100

2. 500/14=14x/14

so you get 36%

BTW the quiz 3-4 and 3-5 sucks lol