If you have feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?.

Step-by-step explanation:

3,13] has a span of 10

with 4 rectangles, each has width 2.5

So the distance is 2.5(f(5.5)+f(8)+f(10.5)+f(13))

You don't give the table, so if the given data points are unevenly spaced, that will have to be changed some.

Answer:

y² = 36x

Step-by-step explanation:

Parabola opens right.

Thus equation is from; y² = 4ax

And focus is at (a, 0)

Since we are given focus at (9, 0),it implies that a = 9

Thus, equation of parabola is;

y² = 4 × 9 × x

y² = 36x

Answer:

$135 more

Step-by-step explanation:

700-550= 150

.90 x 150 = 135

he will have to pay $135 more

Their hourly wage in 3 more years (after a total of 13 years) will be 17.43 per hour.

We can solve this problem using the formula for exponential growth, which is:

\(A = P(1 + r)^t\)

Where:

A = the amount after t years

P = the initial amount

r = the annual growth rate (expressed as a decimal)

t = the number of years

Let's use this formula to solve the problem:

Find the initial amount

The initial hourly wage is 7.40, so P = 7.40

Find the annual growth rate

The wages grew from 7.40 to 14.56 in 10 years, so we can use this information to find the annual growth rate:

\(14.56 = 7.40(1 + r)^{10}\\(1 + r)^{10} = 14.56/7.40\\(1 + r)^{10} = 1.97297\\1 + r = (1.97297)^{(1/10)\)

1 + r = 1.076

r = 0.076 or 7.6%

So the annual growth rate is 7.6% (expressed as a decimal).

Find the amount after 13 years

We want to find the hourly wage in 3 more years, which is a total of 13 years (10 years of past growth + 3 more years). So t = 13.

\(A = P(1 + r)^t\\A = 7.40(1 + 0.076)^{13}\\A = 7.40(1.076)^{13}\\A = 7.40(2.355)\)

A = 17.43 (rounded to two decimal places)

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Answer:

im pretty sure its 7.31

Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

Answer: 8500

Step-by-step explanation:

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=7500\hspace{35px}r=0.015\hspace{35px}t=8

P=7500r=0.015t=8

Given values

A=7500e^{0.015(8)}

A=7500e

0.015(8)

Plug in

A=7500e^{0.12}

A=7500e

0.12

Multiply

A=8456.22638685

A=8456.22638685

Use calculator (with e button)

A\approx 8500

A≈8500

Round to nearest hundred dollars

Answer:

see explanation

Step-by-step explanation:

∠ 1 and ∠ 3 are corresponding angles

each is in the same position ( the upper left hand corner) in its group of 4 angles.

The value  of  x the subject of the formula is 2c(4+a)

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

Equation with Lines

More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

Given ,

X/2c = a+4 by simplifying ,

x=2c(4+a)

Therefore the value of x the subject of the formula is 2c(4+a)

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Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

6. a because a rectangle with sides 8 and 2 has a perimeter of 20 but its area is 16.

7. d because 4 is an even number and it is a perfect square.

8. b because a pen can be used to write but is not a utensil.

Step-by-step explanation:

If an IR signal has a percent transmittance of 45%, then the sample absorbed 55% of the IR light

The percent transmittance of an IR signal = 45%

The equation of percent transmittance is

Percent transmittance = ( I / Io ) × 100

Where Io is the intensity of the IR signal entering the sample

I is the intensity of the IR signal leaving the sample

If the Io = I, then the percent transmittance is 100% that means the sample did not absorb any light and if Io= 0 then the the percent transmittance is 0% then sample absorbed all the light

Here, the percent transmittance is 45%, that mean the 55% of light absorbed by the sample

Therefore, the sample absorbed 55% of the IR light

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The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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The effect of educational attainment on the time spent sleeping per week is examined using the simple regression model sleep = β0 + β1educ + u. The sample mean and standard deviation of sleep and educ can be calculated using the data in PS2 Q4.dta.

To find the sample mean of sleep and educ, sum up all the values of sleep and educ respectively and divide by the total number of observations.

The standard deviation can be calculated by taking the square root of the variance, where the variance is the average of the squared deviations from the mean.

These calculations provide measures of central tendency and dispersion for the variables sleep and educ.

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Answer:

1. all of them are in the range

Step-by-step explanation:

Since -1 < x <  4

then  -1 (7) < 7x < 7(4)

- 7 < 7x < 28

-7 + 4 < 7x + 4 < 28  + 4

-3 < 7x + 4 < 32

SInce all the options are within the range between -3 and 32 then the answer is 1.

Answer:

Option D is the correct option.

Step-by-step explanation:

As they are similar, correspondence sides are in common ratios:

\( \frac{x}{10} = \frac{10}{5} \)

Apply cross product property

\(5x = 10 \times 10\)

Multiply the numbers

\(5x = 100\)

Divide both sides of the equation by 5

\( \frac{5x}{5} = \frac{100}{5} \)

Calculate

\(x = 20\)

Hope this helps...

Best regards!!

Answer:

112°

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°

Let x = unknown angle

⇒ 34 + 34 + x = 180

⇒ 68 + x = 180

⇒ x = 180 - 68

⇒ x = 112°

Other angle be y

Apply angle sum property

\(\\ \rm\hookrightarrow 34+34+y=180\)

\(\\ \rm\hookrightarrow 2(34)+y=180\)

\(\\ \rm\hookrightarrow 68+y=180\)

\(\\ \rm\hookrightarrow y=112\)

The standard error of the sample proportion is B: 0.033.

Based on the given data Sukie interviewed 125 employees at her organization and found that 21 of the employees had the plan to take an extended vacation next year.

Let  p = proportion of employees who planned to take an extended vacation next year

         so, p = x/n = 21/125 = 0.168

n = number of employees Sukie's company = 125

x= number of employees who plan for extended vacations

Now, the standard error of the sample proportion is calculated as:

      Standard error  =    √ p (1-p) / (n)

                              =   √ 0.168 (1-0.168) / (125)

                              = 0.033

Thus, the standard error is 0.033.

"

Complete question :

sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year. what is the standard error? answer choices are rounded to the thousandths place.

A: 0.013

B: 0.033

C: 0.023

D:  0.021

"

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Answer:

Step-by-step explanation:

x is the number of miles driven, and I'm assuming that's supposed to say that he plans on driving 500 miles per day and has $210 to spend. We need a cost equation for his trip. $68.64 is the flat fee the company charges regardless of how many miles, x, are driven. If they charge $.12 per mile, that's the rate per mile of the equation which is the same thing as the slope of the linear equation. The cost equation is

y = .12x + 68.64

If he has $210 to spend, let's see how many miles he can go on that by subbing in 210 for y:

210 = .12x + 68.64 and

141.36 = .12x so

x = 1178

He can drive a total of 1178 miles with $210. If he drives 500 miles per day, 1178/500 = 2.356 days. So depending upon when he has to return the car and assuming it's in the morning, he can keep the car for 2 full days and stay within his budget.

Answer:

The answer is 3

Step-by-step explanation:

The answer is 4 .

Step-by-step explanation:

6 x 4 is 24

Answer: 4

Step-by-step explanation:

6 times 4 equals 24 and to make sure you know that's correct you can divide 24  and 6, and that equals 4 so you know that's your answer.

Hope This Helps!

We have that the sides of a right triangle receive different names depending on the angle we are going to analyze.

The opposite side of the right triangle is the hypotenuse:

And depending on the angle we are going to analyze, one side is that opposite to it and the other side is the adjacent:

We know by the Pythagorean Theorem that:

opposite² + adjacent² = hypotenuse²

In this case

hypotenuse = 20

adjacent = 16

opposite BC

Then

opposite² + adjacent² = hypotenuse²

↓

BC² + 16² = 20²

↓

BC² = 20² - 16²

BC² = 144 = 12²

↓

BC = 12

We have that the Sine formula is:

In this case:

angle = A

opposite side = 12

hypotenuse = 20

Then,

If we simplify it, we have:

We have that the Cosine Formula is:

In this case:

angle = A

adjacent side = 16

hypotenuse = 20

Then

If we simplify it, we have:

We have that the Tangent Formula is:

In this case:

angle = A

opposite side = 12

adjacent side = 16

If we simplify it, we have:

sinA = 0.6

cosA = 0.8

tanA = 0.75

a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

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The angle 1 can be named as follows:

∠RST

∠TSR

∠S

There are various ways to name an angles. You can name an angle by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.

Therefore, let's name the angle 1 indicated on the diagram as follows:

Hence, the different ways to name the angle 1 is as follows:

∠RST or ∠TSR

Or

∠S

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Answer:

Step-by-step explanation:

Answer: 63

Step-by-step explanation:

You can put this solution on YOUR website! Hi there, 2/3 = 42. Multiply 42 by 3 = 126. Divide 126 by 2 = 63. The lady's age. 63yrs old. Proof: 2/3 x 63

Answer:

63

Step-by-step explanation:

42 / 2 = 21

21 * 3 = 63

If 42 is two thirds, then one third is 21 because (2/3) / 2 = 1/3.

If 21 is one third, then the whole is 63 because (1/3) * 3 = 1.