An ice cream company is going to open new stores in Los Angeles, San Francisco, and Seattle. The monthly cost for a square foot of rental space in each city is as follows. Los Angeles $5.75 San Francisco $6.95 Seattle $4.25 The store in Los Angeles will be 580 square feet, the store in San Francisco will be square feet, and the store in Seattle will be 465square feet. Find the total monthly rent for these three stores.

The maximum area that can be enclosed with 480 yards of fencing. is 28,530.5 square yards.

Let the length of the rectangular pen be denoted by L and its width be denoted by W.

From the problem statement, we know that the total length of fencing available is 480 yards. We can express this as an equation:

2L + W + 2 = 480

where the additional 2 is for the fence across the width.

Simplifying this equation, we get:

2L + W = 478

We want to find the maximum area that can be enclosed with this amount of fencing. The area of a rectangle is given by:

A = L × W

We can use the equation 2L + W = 478 to solve for one of the variables in terms of the other. For example, we can solve for W:

W = 478 - 2L

Substituting this expression for W into the equation for the area, we get:

A = L × (478 - 2L)

Simplifying this expression, we get:

A = 478L - 2L^2

To find the maximum area, we need to take the derivative of this expression with respect to L, set it equal to zero, and solve for L.

dA/dL = 478 - 4L

Setting this equal to zero and solving for L, we get:

478 - 4L = 0

L = 119.5

Substituting this value of L back into the equation for W, we get:

W = 478 - 2(119.5) = 239

Therefore, the dimensions of the rectangular pen that maximize the area are:

Length = 119.5 yards

Width = 239 yards

And the maximum area that can be enclosed with 480 yards of fencing is:

A = L × W = 119.5 × 239 = 28,530.5 square yards.

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The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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The return on portfolio is 4.11%.

The initial investment

Investment in Merck = Number of shares of Merck × Price per share Investment in Merck = 120 shares × $40 per share

Investment in Merck = $4,800

Investment in Yahoo = Number of shares of Yahoo × Price per share Investment in Yahoo = 100 shares × $25 per share

Investment in Yahoo = $2,500

Now, let's calculate the current value of the portfolio

Current value of Merck = Number of shares of Merck × Current price per share

Current value of Merck = 120 shares × $45 per share

Current value of Merck = $5,400

Current value of Yahoo = Number of shares of Yahoo × Current price per share

Current value of Yahoo = 100 shares × $22 per share Current value of Yahoo = $2,200

Current value of the portfolio = Current value of Merck + Current value of Yahoo

Current value of the portfolio = $5,400 + $2,200 Current value of the portfolio = $7,600

To calculate the return on the portfolio, we need to subtract the initial investment from the current value of the portfolio and divide it by the initial investment

Return on portfolio = (Current value of the portfolio - Initial investment) / Initial investment

Return on portfolio = ($7,600 - ($4,800 + $2,500)) / ($4,800 + $2,500)

Return on portfolio = ($7,600 - $7,300) / $7,300

Return on portfolio = $300 / $7,300

Return on portfolio ≈ 0.0411 or 4.11%

Therefore, the return on your portfolio is approximately 4.11%.

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The question is incomplete the complete question is :

The solution to the equation is x = -5

The equation is given as:

the quantity 2x minus 20 divided by 3 = 2x

Rewrite properly as

(2x - 20)/3 = 2x

Multiply through by 3

2x - 20 = 6x

Collect like terms

6x - 2x = -20

This gives

4x = -20

Divide by 4

x = -5

Hence, the solution to the equation is x = -5

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Answer:

other dude is correct cuh

Step-by-step explanation:

In the subgame-perfect equilibrium, both robbers decide not to shoot, resulting in a payoff of 50 million dollars each as they split the money equally.

(a) The game can be represented in extensive form as follows:

                        / R1 decides not to shoot

               / R2 decides not to shoot (split money equally)

              /

    Bank --->

              \

               \ R2 decides to shoot

                \

                 \ R1 decides not to shoot (R2 takes all the money)

The decision nodes indicate the choices of the robbers (shoot or not shoot), and the outcome nodes represent the resulting payoffs.

(b) To find a subgame-perfect equilibrium, we analyze the game backward, starting from the final decision nodes.

At the bottom of the tree, when R1 decides not to shoot, it is in his best interest to split the money equally with R2 since they both survive.

When R2 has the last decision, if he decides not to shoot, he ensures a payoff of 50 million dollars by splitting the money with R1. If R2 decides to shoot, the outcome is uncertain due to the probabilities of killing. Therefore, R2's best strategy is to not shoot.

Moving up the tree, when R1 has the decision, he knows that if he shoots, there is a 20% chance of killing R2 and taking the entire amount, but an 80% chance of getting nothing if R2 survives. On the other hand, if R1 decides not to shoot, he guarantees a payoff of 50 million dollars by splitting the money with R2.

Therefore, the subgame-perfect equilibrium is for R1 to decide not to shoot, and then R2 to also decide not to shoot. This leads to a payoff of 50 million dollars for each robber, as both survive and split the money equally.

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The complete question is:

Two robbers have just robbed a bank and are in a hotel room with a suitcase of money worth 100 million dollars. Each would prefer to have the whole amount to himself rather than to share it. They are armed with pistols, but their shooting skills are not that great. Specifically, if they shoot, R1 and R2 have 20% and 40% chances of killing their target, respectively. Each has only one bullet left. First, R1 decides whether to shoot. If he shoots, then R2, if alive, decides whether to shoot. If R1 decides not to shoot, then R2 decides whether to shoot. The survivors split the money equally. (a) (10 marks) Write this game in extensive form. (b) (15 marks) Find a subgame-perfect equilibrium.

Answer:

slope = - \(\frac{7}{5}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, - 7 ) ← 2 points on the line

m = \(\frac{-7-0}{0-(-5)}\) = \(\frac{-7}{0+5}\) = \(\frac{-7}{5}\) = - \(\frac{7}{5}\)

Answer: 12x

Step-by-step explanation:

The question is asking what equation models the table above. You have to make an equation that when any of the times on the left column are plugged in, the value on the right column are outputted.

For 1, the equation should output 12. For 2, the equation should output 24. For 3, the equation should output 36, and so on.

Here, we see a pattern: for every value we input as the number of seconds, the height is 12 times more than that. Assuming x is the time and y is the height,

\(y=12x\)

If we use any x on the left, it's corresponding height will be the y.

Answer:

65 days

Step-by-step explanation:

Answer:

65 days

Step-by-step explanation:

Hope this helps

Answer:

if u want step by step answers u need to give more points than that

Step-by-step explanation:

Answer:

Length Width and Height

Step-by-step explanation:

The formula of a square is Length times W, or LW, but a rectangular prism is 3d, so you would have to add height to the formula, making it LWH, or length x width x height.

Answer:

You Would Need To Know How Many Blocks Make Up The With, The Length And The Height Then You Would Multiply ( Length x Width x Height )

To get The Volume. Your Final Answer Would Be In Cubic

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x - 12 + 3x + 30 = 90

9x + 18 = 90

9x = 72

x = 8

6(8) - 12 = 48 - 12 = 36 for m<AOB

3(8) + 30 = 24 + 30 = 54

The volume of the rectangular solids that is similar to the volume of a right circular cylinder is rectangular solid E.

Cuboid A:

Volume of rectangular solid = length × width × height

= 3 × 3 × 3

= 27 cubic units

Cuboid B:

Volume of rectangular solid = length × width × height

= 3 × 3 × 4

= 36 cubic inches

Cuboid C:

Volume of rectangular solid = length × width × height

= 5 × 4 × 3

= 60 cubic inches

Cuboid D:

Volume of rectangular solid = length × width × height

= 4 × 4 × 4

= 64 cubic inches

Cuboid E:

Volume of rectangular solid = length × width × height

= 4 × 4 × 3

= 48 cubic inches

Right circular cylinder:

Radius, r = 2

Height, h = 4

Volume of right circular cylinder = πr²h

= 3.14 × 2² × 4

= 3.14 × 4 × 4

= 50.24 cubic units

Hence, rectangular solid E is similar to right circular cylinder.

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Answer:

\(HD=5.5\)

Step-by-step explanation:

\(4(HD)=22 \implies HD=5.5\)

a) The 90% confidence intervals for the population mean 30-year fixed mortgage rate is (0.0762, 0.0708)

b) The 99% confidence intervals for the population mean 30-year fixed mortgage rate is (0.07394, 0.07306)

Given,

Mean fixed mortgage rate = 30

Random sample, n = 14

Sample mean, x = 7.35% = 0.0735

Population Standard Deviation, σ = 0.6% = 0.006

We have to compute 90% and 99% confidence interval for the population mean;

Here,

Formula to find confidence interval for population standard deviation;

x ± tₙ₋₁, ∝/2 σ/√2

Now,

a) Significance Level, ∝ = 1 - 0.90 = 0.1

Critical Value, tn-1 ∝ = t₂₇, ₀.₀₅ = 1.703

Now, the 90% confidence intervals for the population mean 30-year fixed mortgage rate will be:-

0.0735 ± (1.703) 0.006/√14

= 0.0735 ± 0.0027

= (0.0735 + 0.0027, 0.0735 - 0.0027)

= (0.0762, 0.0708)

b) Significance Level, ∝ = 1 - 0.99 = 0.01

Critical Value, tn-1 ∝ = t₂₇, ₀.₀₀₅ = 0.2771

Now, the 99% confidence intervals for the population mean 30-year fixed mortgage rate will be:-

0.0735 ± (0.2771) 0.006/√14

= 0.0735 ± 0.00044

= (0.0735 + 0.00044, 0.0735 - 0.00044)

= (0.07394, 0.07306)

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Answer:

k<=-2

Step-by-step explanation:

-3k≥6

3k<=-6 ==> when dividing by negative numbers switch the sign of the inequality

3k/3<=-6/3

k<=-2

The standard deviation for this Gaussian random variable is approximately 5.09.

Standard deviations are a measure of the spread of data around the mean. The standard deviation is the square root of the variance of a dataset. It is the most commonly used measure of spread and is a measure of how the individual data points deviate from the mean. A low standard deviation indicates that the data points tend to be close to the mean, while a high standard deviation indicates that the data points are spread out over a wider range of values.

This is calculated by finding the square root of the variance of the random variable, which is the difference between the mean and the probability given:

Variance = (60 - 0.382)2 = 35.22

Standard deviation = √35.22 = 5.09

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Answer:

1.00 significant figures

The required, 0.9967 rounded to 2 significant figures is approximately 1.0.

To round 0.9967 to 2 significant figures, we look at the first two non-zero digits: 0.9967

The first two non-zero digits are 99. Since there is no third significant digit, we round according to the following rules:

If the third digit is 5 or greater, round up the second digit.

If the third digit is less than 5, leave the second digit unchanged.

In this case, the third digit is 6, which is greater than 5. So, we round up the second digit:

Thus, 0.9967 rounded to 2 significant figures is approximately 1.0.

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The correct option is (d) i.e. one of the basic assumptions is Each sample is assumed to be normal.

What is ANOVA test?

ANOVA stands for Analysis of Variance. It is a statistical test used to analyze the differences between two or more groups of data. ANOVA tests whether the means of the groups are significantly different from each other.

The correct option is (d).

Each population from which a sample is taken is assumed to be normal. This is one of the five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. The other assumptions include:

Homogeneity of variance: The population variances are assumed to be equal for all groups.

Independence: The samples are assumed to be independent of each other.

Random sampling: The samples are assumed to be selected at random from their respective populations.

Interval or ratio data: The data being analyzed is assumed to be measured on an interval or ratio scale.

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Note that the absolute value of the difference in the two estimates of Q with an uncertainty range at a 95% confidence interval is 1.052.

To find the average value of Q, we simply add up all the values and divide by the number of trials:

Average value of Q = (41.314 + 40.087 + 41.248 + 40.196 + 40.284 + 41.152 + 38.852 + 36.401 + 37.941 + 39.221 + 39.035 + 38.404 + 40.683 + 41.568 + 42.175 + 42.319)/16

= 39.976

Next, to find the uncertainty range where we can be 95% sure that the true value of Q lies within, we need to find the standard error of the mean. The formula gives this:

Standard error of the mean = standard deviation / √(n)

where n is the number of trials. We can find the standard deviation using the formula:

Standard deviation = √(Σ(Qi - Q_avg)² / (n-1))

where Qi is the value of Q for the ith trial.

Using these formulas, we find:

Standard deviation = 1.549

Standard error of the mean = 0.387

To find the uncertainty range, we say:

Uncertainty range = t-value * standard error of the mean

= 2.131 * 0.387

= 0.826

Therefore, we can be 95% sure that the true value of Q lies within the range:

39.976 ± 0.826

Now, to calculate the absolute value of the difference in the two estimates of Q with an uncertainty range at a 95% confidence interval, we can simply add the uncertainty ranges of the two estimates and take the absolute value of the difference:

|Q1 - Q2| = |39.976 ± 0.826 - 40| + |39.976 ± 0.826 - 39.8|

= 0.826 + 0.226

= 1.052

Therefore, the absolute value of the difference in the two estimates of Q with an uncertainty range at a 95% confidence interval is 1.052.

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With deceleration of 6 ft/s² and initial speed of 66 ft/s, the airplane will stop after travelling 363 ft.

Use the equation of motion:

v² = u² + 2 · a · s

Where:

v = final velocity

a = acceleration

u = initial velocity

s = distance

Deceleration is a negative acceleration.

Parameters given from the problem:

u = 66 ft/s

a = - 6 ft/s²

v = 0  since the airplane stops.

Plug these parameters into the formula:

v² = u² + 2 · a · s

0 = 66² + 2 · (-6)· s

s = 66² / 12

s = 363 ft.

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Answer: 12.152

Step-by-step explanation:

Answer:

12.15  or   875/72

Step-by-step explanation:

35/6 = 5.8333333

25/12 = 2.083333

or

35/6 turns to 70/12

70/12 x 25/12 = 1750/12  

1750/144 turns to 875/72

Answer:

B!

Step-by-step explanation:

Hope this helps :))

Answer:

B) 60 square inches

Step-by-step explanation:

They are asking for the area of the triangle. The formula for area is (length × width) ÷ by 2 = area

so, (8 × 15) ÷ 2 = 60 square inches

The number of people who read more than three hours last week according to dot plot are 14 people.

Data visualisation with dot plots is quick and easy. Dot plots have the advantages of being simple to make, displaying individual data points, and providing a rapid visual depiction of the distribution and dispersion of the data. Dot plots may, however, become crowded and challenging to read when used with huge datasets, so they might not be the ideal option. Also, they don't offer as much information as other graph styles like box plots or histograms.

Given that for the dot plot, 3 has 4 dots, 4 has 6 dots, 5 has 3 dots, and 6 has 5 dots.

Thus, the number of people who read more than three hours last week are:

6 + 3 + 5 = 14

Hence, the number of people who read more than three hours last week are 14 people.

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Although part of your question is missing, you might be referring to the question :

Given that 2x+3y / 3x+4y = 5, find the ratio of y:x

Given : 2x+3y / 3x+4y =5

To find : y : x

Solution :

(2x+3y) / (3x+4y) = 5, or

2x + 3y = 15x + 20y, or

-15x + 2x = 20y - 3y, or

-13x = 17y

Therefore, x/y = -17/13

Hence, y/x = -13/17

y : x = -13 : 17.

The answer is -13 : 17.

The new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.

(a) To find the angle that the pilot should turn to head towards Louisville, we first need to find how far off course the pilot has gone in 15 minutes. At an average speed of 220 miles per hour, the pilot would have flown a distance of:

d = rt = 220 mi/hr × (15 min / 60 min/hr) = 55 miles

Since the pilot was 10 degrees off course, they have effectively traveled 10/360 of the circumference of a circle with radius 55 miles. The length of this arc is:

s = rθ = 55 mi × (10/360) = 1.528 mi

To head towards Louisville, the pilot needs to turn to a heading that is 10 degrees in the opposite direction. The angle θ that the pilot needs to turn is given by:

θ = 2arctan(s/2d) = 2arctan(1.528 mi / 2(330 mi)) ≈ 0.266 radians ≈ 15.26 degrees

So the pilot needs to turn approximately 15.26 degrees to head towards Louisville.

(b) Let's call the distance the pilot needs to travel after correcting course "x". We can use the formula for distance to find "x":

x = 330 mi - 2(55 mi) = 220 mi

To complete the trip in a total time of 90 minutes, the pilot must spend 75 minutes flying at the new speed and 15 minutes turning to the correct heading. Therefore, the time spent flying at the new speed is 75 minutes - 15 minutes = 60 minutes. The new speed can be found using the formula for average speed:

average speed = total distance / total time

We want the new speed to cover a distance of 220 miles in 60 minutes:

average speed = 220 mi / (60 min / 60) = 220 mi/hr

So the new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.

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Answer:

The volume of the cylinder is greater than the volume of the prism.

Step-by-step explanation:

The Volume of a cylinder is given as:

= πr²h

Therefore, the volume of a cylinder with a radius of 3 units and a height of 12 units will be:

= πr²h
=3.14 × 3² × 12

=339.12

The volume of a rectangular prism with dimensions 3 units x 3 units x 12 units will be:

= Length × Width × Height

Based on the calculation, the volume of the cylinder is greater than the volume of the prism.

Answer:

B: The volume of the cylinder is smaller than the volume of the prism.

Step-by-step explanation:

In order to find the volume of the cylinder, we would use to formula \(\pi r^{2} h\). Substitute the given measures of the cylinder to get \(\pi\)·3²·12. The simplified and calculated form would be 108 units cubed.

Now, we find the volume of the rectangular prism, which is \(l\)·\(w\)·\(h\), or 16*16*9. This means the volume is 2304 units cubed.

Therefore, since 2304 un³>108 un³, answer choice b would be correct.

Answer:

34.56ft or 35ft

Step-by-step explanation:

First, you do 5.5 times 2 to get 11.

Now you multiply 11 by pi to get 34.56 or 35