Exam
The blueprint's scale is
1 inch : 9 feet. If the gym's
area is 52 square inches on the
blueprint, what is the actual
square footage of the gym?
The area of the actual gym
is_square feet.

Answers

Answer 1

Answer:

4212 square feet.

Step-by-step explanation:

If the blueprint's scale is 1 inch : 9 feet.

Square both sides

(1in)² = (9ft)²

1in² = 81ft²

Given the  gym's  area as 52 square inches, hence;

52in² = x

Divide both expressions

1/52 = 81/x

x = 52 * 81

x = 4212ft²

Hence the area of the actual gym  is 4212 square feet.


Related Questions

solve the following system by substitution y=5x-4 y=6x​

solve the following system by substitution y=5x-4 y=6x

Answers

Answer:

Step-by-step explanation:

y = 5x - 4

y = 6x $\Rightarrow$ x = y/6

y = 5*y/6 - 4

y = 5y/6 - 4

6y = 5y - 24

y = -24.

So, x = -4

vectors
p=(4,3) and q=(-2,7), find 4p -2q​

Answers

Answer:

(20, -2)

Step-by-step explanation:

Given the coordinate vectors p=(4,3) and q=(-2,7),

4p - 2q  = 4(4, 3)- 2(-2, 7)

4p - 2q  = (16, 12) - (-4, 14)

4p - 2q  = (16+4, 12-14)

4p - 2q  =(20, -2)

hence the required vector is (20, -2)

Evaluate the expression using a calculator. Round your answer to two decimal places when appropriate.
Square root 5^32,768 =

Evaluate the expression using a calculator. Round your answer to two decimal places when appropriate.Square

Answers

The value of the equation is A = ⁵√32,768 is A = 8

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ⁵√32,768   be equation (1)

On simplifying the equation , we get

A = 8 x 8 x 8 x 8 x 8 = 32,768

So , the 5th root of ( 32,768 ) is 8

Therefore , the value of A = 8

Hence , the equation is A = 8

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In a large housing project, 35% of the homes have a deck and a
two-car garage, and 80% of the houses have a houses have a two-car
garage. Find the probability that a house has a deck given that it
has

Answers

The probability that a house has a deck given that it has a two-car garage is 43.75%.

In a large housing project, 35% of the homes in the large housing project have both a deck and a two-car garage, and 80% of the houses have a two-car garage.

To find the probability that a house has a deck given that it has a two-car garage, we will calculate the conditional probability, by using the formula:

P(Deck | Two-car garage) = P(Deck and Two-car garage) / P(Two-car garage)

We are given that P(Deck and Two-car garage) is 35% and P(Two-car garage) is 80%. Plugging these values into the formula, we get:

P(Deck | Two-car garage) = 0.35 / 0.80

Calculating this division, we find that the probability that a house has a deck given that it has a two-car garage is approximately 0.4375, or 43.75%.

Therefore, the probability value is 43.75%.

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Complete Question

In a large housing project, 35% of the homes have a deck and a

two-car garage and 80% of the houses have a two-car

garage. Find the probability that a house has a deck given that it

has a two-car garage.

Please answer this, I need help fast

Please answer this, I need help fast

Answers

B

Step-by-step explanation:

If you're using a Casio calculator you can just change the mode to table mode. Put the equations as they are,decide the value of the X axis you want to start at and where you want to end. The step you can use 1 if you want. Press = button. You'll have the co-ordinates. Plot the co-ordinates of each equation and see which one gives a straight line graph. I started at -4 and ended at 5 and I used step 1

Last Friday, 54 students did not eat breakfast at school and 126 students ate breakfast at school. What percent of the
students ate breakfast at school yesterday?
B
30%
A
43%
D
70%
с
54%
-

Answers

Answer:

Concept: Statistics

Assuming yesterday is Friday You have a total school population of: 126+ 54=180 We are asked about those that ate So 126/180= 70%

The area of the square is 25 square feet. Question To the nearest tenth, what is the diameter of the circle?

The area of the square is 25 square feet. Question To the nearest tenth, what is the diameter of the

Answers

Answer:

191.1

Step-by-step explanation:

the area of a circle is pi times radius squared witch pi time 4.4 equals radius = 13. something and that squared = 191.0755... so it would be rounded to 191.1  

Answer: 5.6 ft

Step-by-step explanation: equation to solve for diamter when given the area:

d= 2√A/π

if thats too confsuing the equation will look like in the picture attatched.

So than you fill it in

put 25 where the A is and than solve

your answer will be: 5.641895835, round to the nearset tenth and you will get: 5.6 ft

hope this helps!

The area of the square is 25 square feet. Question To the nearest tenth, what is the diameter of the

PLEASE HELP ME!!!!!!!!

PLEASE HELP ME!!!!!!!!

Answers

Answer:

The Code is F A M I L Y

the number left to the x gives you the slope, the plus or minus is where it intersects the y-axis (at x=0)

pls brainliest

1. Find the sum, S, of the geometric series given a₁ = 3, a=192, and r = 2.
-
OS₂-381
OS₂-127
OS,-48
S₂--383
4
a₁-ar
1-r

1. Find the sum, S, of the geometric series given a = 3, a=192, and r = 2. -OS-381OS-127OS,-48S--3834a-ar1-r

Answers

The sum of the geometric series is Sₙ = 381. The 1st option is the answer

How to find the sum, Sₙ, of the geometric series?

A geometric series simply means a series for which the ratio of each two consecutive terms is a constant function of the summation index . In this case, the series will be given below:

Given:  a₁ = 3, a=192, and r = 2

The formula for the sum, Sₙ, of the geometric series is given by:

Sₙ = (a₁ - aₙr)/(1 - r)

Substitute   a₁ = 3, a=192, and r = 2 into the formula:

Sₙ = (a₁ - aₙr)/(1 - r)

Sₙ = (3 - 192×2)/(1 - 2)

Sₙ = (3-384)/(1-2)

Sₙ =  (-381)/(-1)

Sₙ = 381

Thus, the sum is 381

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PLEASE HELP!!!!!!! Line M is represented by the following equation: x + y = −1 What is most likely the equation for line P so the set of equations has infinitely many solutions? (4 points) Question 5 options: 1) 2x + 2y = 2 2) 2x + 2y = 4 3) 2x + 2y = −2 4) x − y = 1

Answers

The equation for line P such that the system has an infinite number of solutions is given as follows:

3) 2x + 2y = -2.

How to obtain the equation?

The first equation for the system of equations is given as follows:

x + y = -1.

A system of equations has an infinite number of solutions when the two equations are multiples.

Multiplying the equation by 2, we have that:

2x + 2y = -2.

Meaning that equation 3 is correct.

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How many distinct permutations can be formed using the letters of the word believable?

Answers

Answer:

✒️Answer:

No. of Permutations=3360.

Step-by-step explanation:

#CarryOnLearning

\(watch.some.anime\)

The number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

The word is:

"believable"

Total number of letters = 10

b repeated two(2) times

e repeated three(3) times

l repeated two(2) times

No. of Permutations = 10!/(2!3!2!)

No. of Permutations = 15,1200

Thus, the number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

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suppose you have 2 coins, and you flip them at the same time different times. what is the expected number of times that both coins have come up tails?

Answers

The expected number of times that both coins have come up tails will be 0.5 or 50%.

The probability of both coins coming up tails on a single flip is 1/4, since each coin has a 1/2 probability of coming up tails and the events are independent. If we flip the coins n times, the number of times both coins come up tails is a binomial random variable with parameters n and 1/4.

The expected value of a binomial random variable is given by np, where p is the probability of success on a single trial. In this case, we have p = 1/4, so the expected number of times that both coins come up tails in n flips is n(1/4). Therefore, if we flip the coins twice simultaneously, the expected number of times that both coins come up tails is (2)*(1/4) = 0.5.

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Help - I’m failing math and I might get held back so please just help

Help - Im failing math and I might get held back so please just help

Answers

Answer:

\( \frac{y}{34} \)

Step-by-step explanation:

Cosine is the adjacent side of the triangle divided by the hypotenuse.

The numerator is going to be the side adjacent to the angle 53

So the top number is y.

The hypotenuse is the side opposite of the right angle. So the bottom number is 34

Epositas $545,680 pesos en una cuenta que ofrece pagar 2.25.% semestral durante año y 10 meses a) ¿Cuánto recibirás en total al final del plazo?

Answers

Responder:

$ 555,911.5

Explicación paso a paso:

Dado

Principal = $ 545,680

Interés = 2,25%

Tiempo = 10 meses = 10/12 años

Debemos buscar la cantidad después de 10 meses.

Monto = Principal + Intereses

Interés = PRT / 100

Interés = 545,680 * 2,25 * 10/1200

Intereses = 12,277,800 / 1200

Interés = 10.231,5

Cantidad = 545,680 + 10,231.5

Cantidad = 555,911.5

por lo tanto, la cantidad después de 10 meses es $ 555,911.5

The variable s is proportional to t, and s=25 when t= 125. Determine t when s = 40. t= (Type an integer or a decimal.)

Answers

When the variable s is proportional to t and s is equal to 25 when t is 125, the value of t when s is 40 can be determined using proportional reasoning. The value of t is approximately 80.

We can start by finding the proportionality constant between s and t. Since s is proportional to t, we can express this relationship as s = kt, where k is the proportionality constant. To find the value of k, we can use the given information: when t = 125, s = 25. Plugging these values into the equation, we have 25 = k * 125. Solving for k, we get k = 25/125 = 1/5.

Now that we know the value of k, we can use it to find t when s is 40. Substituting s = 40 and k = 1/5 into the equation s = kt, we get 40 = (1/5) * t. To solve for t, we can multiply both sides of the equation by 5, resulting in 200 = t. Therefore, when s = 40, t is approximately 200.

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Longwei, a new CEO, is excellent at setting and implementing goals, policies, and structure. Longwei is quite proud of the strategic successes he's had in his brief time as CEO. However, many of the employees seem unmotivated and are responding in ways he didn't expect. What should Longwei do? He should use the principles of OB to better understand the workers. He should take a personality assessment to become more self-aware, He should examine his perceptions to make judgments and decisions.

Answers

Longwei should first recognize that implementing goals, policies, and structure is only one aspect of effective leadership. A leader's ability to motivate and inspire their employees is just as important. Therefore, Longwei should use the principles of organizational behavior (OB) to better understand his employees and their motivations.

Additionally, Longwei should take a personality assessment to become more self-aware of his own leadership style and how it may be impacting the employees. He should examine his perceptions and biases to ensure that he is making fair and objective judgments and decisions. This may involve seeking feedback from other leaders or mentors, participating in leadership development programs, or engaging in self-reflection and mindfulness practices.

By taking these steps, Longwei can better understand and address the unmotivated employees in his company. He can then develop strategies to engage and inspire them, such as offering incentives, providing opportunities for professional development, or creating a more positive and inclusive work environment. Ultimately, Longwei's success as a leader will depend not only on his ability to set and implement goals but also on his ability to motivate and engage his employees.

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listed following are distinguishing characteristics and examples of reflecting and refracting telescopes. match these to the appropriate category. view available hint(s)for part a resethelp reflecting telescopesdroppable refracting telescopesdroppable

Answers

Reflecting telescopes use mirrors to collect light. A refracting telescope uses lenses. There are many different types of reflectors, but generally all refractors follow the same basic design. Refracting telescopes use lenses to collect and focus light, much like binoculars.

Reflecting Telescope: -

A reflecting telescope (also called a retroreflector) is a telescope that uses one or a combination of curved mirrors that reflect light to form an image. Reflecting telescopes were invented by Isaac Newton in the 17th century as an alternative to refracting telescopes, which at the time suffered from severe chromatic aberration. Reflecting telescopes produce other types of optical aberrations, but are designed to allow very large diameter lenses. Most of the large telescopes used for astronomical research are reflectors. Many different geometries are used, some with additional optical elements to improve image quality or mechanically position the image. Because reflecting telescopes use mirrors, they are sometimes called reflecting telescopes.

The primary mirror is located in the reflector at the bottom of the tube, and the front surface is coated with a very thin metal film such as aluminum. The back of the mirror is usually glass, but other materials are sometimes used. Pyrex was the predominant glass of choice in many of the older large telescopes, but new technology has led to the development and widespread use of a variety of glasses with very low coefficients of expansion.

Refracting Telescope:

A refractor telescope is a type of optical telescope (also called a refractor telescope) that uses a lens as an objective lens to create an image. Refractor designs were originally used in binoculars and astronomical telescopes, but are also used in long focal length camera lenses.

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This recipe makes 15 cupcakes.
Deepak only wants to make 12 cupcakes.
How much of each ingredient does he need?

Recipe: Makes 15 cupcakes
12 ounces butter
10 ounces sugar
15 ounces flour
5 eggs
I WILL GIVE BRAINLIEST TO THE BEST ANSWER IF ITS RIGHT

Answers

He will only need 3 ounces of butter, 1 ounce of sugar, 3 ounces of flour, and 5 eggs hope I helped

Please solve this for me

Please solve this for me

Answers

Answer:

3-3x/8

Step-by-step explanation:

Answer: y= 3- 3x/8 response is shown below
Please solve this for me

Holly Krech is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payout of $1,800 per month for twenty years. She must deposit $218,437.048 and the total amount that Holly will receive from her payout annuity will be $432,000.

A. How large a monthly payment must Holly Krech make if she saves for her payout annuity with an ordinary annuity, which she sets up thirty years before her retirement?

B. how large a monthly payment must she make if she sets the ordinary annuity up twenty years before her retirement?

Answers

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

What is the monthly payment required for an ordinary annuity set up 30 years before retirement?

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

How much must be paid monthly for an ordinary annuity set up 20 years before retirement?

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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James is buying drinks for the seventh grade party he randomly sampled students to determine which drink they would like to have out of 15 students the number who chose lemonade was 3. There are 150 students in six grade how many six grade students should James estimate would like to have lemonade

James is buying drinks for the seventh grade party he randomly sampled students to determine which drink

Answers

Answer:

30 students

Step-by-step explanation:

See attached image.

James is buying drinks for the seventh grade party he randomly sampled students to determine which drink

A zoologist is recording the loss of wolves in her state. She notes the number of wolves, w, in the state on January 1. One year later, there were 84 wolves in the state, which is 23 fewer wolves than were in the state a year earlier. What is the number of wolves in the state on January 1?

Which equation can be used to find the number of wolves in the state on January 1?


w + 23 = 84

w−23=84

w−84=−23

23−w=84

Answers

Answer:

w+23=84 is the answer for that problem because in order to find the answer u need to do the opposite of subtraction

Answer:

w - 23 = 84

Step-by-step explanation:

W is the amount of wolves they had in the state for the first year. If 84 wolves is 23 less than what they had originally you would be subtracting that amount to get 84.

Hope this helps

1. What are The two taxes paid on most purchases?

Answers

Answer:

I believe its the FICA and the payroll taxes

Step-by-step explanation:

what is the standard error of the number (same as sum) of evens you'd get in 36 draws? (hint: use the sd you've already calculate) submit answer incorrect. tries 3/5 previous tries what is the expected value of the average of the 36 draws from the 0-1 box in question 1? (hint: this is just the average of the box) submit answer incorrect. tries 1/5 previous tries what is the standard error of the average of the 36 draws from the 0-1 box in question 1? (you already computed the sd.) round answer to three decimal places.

Answers

The answer to the standard error of the average, rounded to three decimal places, will be provided. The expected value of each draw will be the average of these values, which is (0 + 1) / 2 = 0.5.

The standard error of the number (or sum) of evens in 36 draws is not provided, and it seems there was an error in calculating the expected value of the average of the draws. However, we can calculate the standard error of the average based on the previously computed standard deviation.

To calculate the standard error of the number (or sum) of evens in 36 draws, we need additional information that is not provided. Without the data or probabilities associated with the draws, we cannot determine the standard error for this specific question.

Regarding the expected value of the average of the 36 draws from the 0-1 box in question 1, it appears there was an error in calculating the expected value in the previous tries. However, given that the box contains values ranging from 0 to 1, the expected value of each draw will be the average of these values, which is (0 + 1) / 2 = 0.5.

To compute the standard error of the average, we can divide the standard deviation (already computed) by the square root of the number of draws. Since the standard deviation has been previously calculated but is not provided, we cannot give an exact value. However, if you have the standard deviation, you can compute the standard error by dividing it by the square root of 36, which is 6. The standard error is a measure of how much the sample means are expected to vary from the population mean, and it helps assess the precision of the sample estimate. By rounding the result to three decimal places, you can obtain the desired value.

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What is this expression in simplified form?

What is this expression in simplified form?

Answers

Answer:

It should be -18 times the square root of of 10

Step-by-step explanation:

If rs equals 2x+j and st =3x -2 and rt equals 24 find the value of x then find or st

Answers

The value of x is 5.

According to the given question.

We have

rs = 2x + 1

And,

st = 3x - 2

Also rt = 24

Here,

rt = rs + st

So, substitute the values of rs, rt and st in the above equation.

⇒ 24 = (2x + 1) + ( 3x - 2)

⇒ 24 = 2x + 1 + 3x -2

⇒ 24 = 5x -1

⇒ 5x = 25

⇒ x = 25/5

⇒ x = 5

Hence, the value of x is 5.

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given that the point p(−8, 5) lies on the line kx 3y 57 = 0, find k.

Answers

The value of k in the equation kx + 3y - 57 = 0 is 5.25.

To determine k in the equation kx + 3y - 57 = 0, you need to use the point (−8, 5) that lies on the line.

To find the value of k, substitute the coordinates of point p into the equation, then solve for k by combining like terms. So,

we have

kx + 3y - 57 = 0

Rewriting the equation as; k(-8) + 3(5) - 57 = 0

Simplifying; -8k + 15 - 57 = 0

Add the constants on the left side; -8k - 42 = 0

Solve for k by adding 42 to both sides; -8k = 42k = -42/(-8)

Therefore, k = 5.25

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the volume of a gas varies inversely as the pressure on it. if the volume is 240 cm^3 under a pressure of 30 kg/cm^2, what pressure must be applied to have a volume of 120cm^3​

Answers

Answer:

V varies 1/P.

V=K/P.

K=VP.

K=240×30.

=7200.

Therefore 7200=VP.

so.....

7200=120P.

P=7200/120.

P=60kg/cm^2.

The geometry of the clf3 molecule is best described as
a. distorted tetrahedral.
b. tetrahedral.
c. trigonal pyramidal.
d. trigonal planar.
e. t-shaped.

Answers

Answer:

The right option is option e.T-shaped.

Step-by-step explanation:

The molecular geometry or shape of clf3 is T-shaped. It acquires such shape because of presence of two lone pairs which take equatorial position and there are greater repulsions. The hybridisation is sp3d and it has 2 lone pairs

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The geometry of the clf3 molecule is best described as a. distorted tetrahedral. b. tetrahedral. c. trigonal

Option e) T-shaped

Hybridization in chemistry is defined as the concept of mixing two atomic orbitals to create a new type of hybridized orbital.

This mixing often leads to the formation of hybrid orbitals of different energies, shapes, etc. completely different.

During  hybridization, atomic orbitals of equivalent energies are mixed  and mainly involves the fusion of two "s" or two "p" orbitals, or the mixing of "s" orbitals with the "p"" orbitals as well as "s` orbitals with  `d` orbitals.

The newly formed orbitals are called hybrid orbitals.

The shape or molecular geometry  of ClF₃ is T-shaped. It acquires such a shape due to the presence of two lone pairs in the equatorial position and has greater repulsion. The hybrid is sp³d and it has 2 lone pairs.

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Someone please help asap

Someone please help asap

Answers

Answer: A

Step-by-step explanation:

Substituting into vertex form, we get that:

\(f(x)=a(x-10)^{2}\)

Where a is a constant.

Now we know that it passes through the point (0, -25), so we can use that to find a.

\(-25=a(0-10)^{2}\\-25=100a\\a=-1/4\)

So we get that \(f(x)=-\frac{1}{4}(x-10)^{2}\)

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