11.4.PS-12 Juan is designing an exercise room in his house. How many square feet of rubber flooring will he need to cover the floor? The product is sold in whole 10 ft square yards. How many square yards should he buy? Explain. 3 ft 4 ft 13 ft The total area of the exercise room is 118 ft. This is also the total amount of rubber flooring that Juan must have. (Type a whole number.) square yards. The number of square yards equivalent to this total area is (Round to the nearest tenth as needed.)

Based on the monthly payment of $1,100, it will take 16 years to liquidate the loan.

The number of periods is a function of the total payments that will be paid, given the compounding of the interest at 4.5% and the monthly payment of $1,100.

Using an online finance calculator, the total number of years is determined as follows:

I/Y (Interest per year) = 4.5%

PV (Present Value) = $150,000

PMT (Periodic Payment) = $-1,100

FV (Future Value) = $0

Results:

N (# of periods) = 191.328 months

= 16 years (191.328/12)

Sum of all periodic payments = $-210,460.39 (191.328 x $1,100)

Total Interest = $60,460.39

Thus, before the loan is paid off, it will take 16 years or 191 monthly payments.

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The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Let's do the division:

Answer: x-3

Answer:

right angle

Step-by-step explanation:

it has a 90 degree angle so its a right angle

Answer:

x^5+2^x4+3^x+72

Step-by-step explanation:

......................

Answer:

Step-by-step explanation:

Translation 3 left and up 6 adds (-3, 6) to each coordinate pair.

(x, y) ⇒ (x -3, y +6)

A(-1, 2) ⇒ A'(-1 -3, 2 +6) = A'(-4, 8)

B(1, 5) ⇒ B'(1 -3, 5 +6) = B'(-2, 11)

Answer:

b.)  (6,7)

Step-by-step explanation:

the figure is translated 2 units to the left

y=12

Explanation

The subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same,

in order to know the y value, we have to isolate y, then

Step 1

subtract 6 in both sides

Step 2

add like terms

therefore, the answer is

I hope this helps you

Answer:

mode = no mode. median = 133, mean = 133

Step-by-step explanation:

mode = most common value. all of the values appear once. so there is no mode.

median = arranging the data in numerical order, then finding middle value.

there are 8 values. we have 4 on one side (124, 126, 128, 130) and 4 on the other (136, 137, 140, 143).

median is halfway between 130 and 136. that is 133.

mean = add up the values/ how many there are

adding them up, you get 1064. there are 8 values.

mean = 1064/8 = 133

If the table does not represent a function, the value of "a" may be: A. -4; D. 2; and F. 5. [Note, no calculation is needed, just apply the criteria that makes a table a function].

A table that represents a function will have each x-value assigned to only one y-values, in order words, on the x-values column, there will be no repeating x-value.

Looking at the table given with the options, we see that:

if a = -4, we will have a repeating x-value, the same with 2 and 5.

However, if we have a represented as 0, 1, and 3, there would be no repeating x-value. Therefore, for the table not to be a function, a may be equal to:

A. -4; D. 2; and F. 5

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Step-by-step explanation:

(a) The lower limit of the 90% confidence interval can be calculated using the formula:

lower limit = sample mean - margin of error

Plugging in the given values, we have:

lower limit = 7.43 - 1.32

lower limit = 6.11 (rounded to 2 decimal places)

Therefore, the lower limit of the 90% confidence interval is approximately 6.11 hours per night.

(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, the expected number of intervals that would contain the population mean can be approximated using the margin of error as a guide.

Since the margin of error is 1.32 hours, we can expect roughly 90% of the confidence intervals to contain the true population mean. Therefore, out of 500 samples, we would expect approximately:

500 * 0.9 = 450

So, approximately 450 of these confidence intervals would contain the population mean.

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer:Godo luck!

Step-by-step explanation:

First, we need to identify the square root of the fisrt squared numbers:

Since 40 is a number between 36 and 49, we can say that the square root of 40 is between 6 and 7. So:

We know what Miguel has 225 baseball cards, and he plans on keeping 75, while giving them the rest of them to his friends. We want to know if he can give an equal number to 6 of his friends.

For this objective, we know what he will have to give to his friends an amount of:

Answer:

direct proof, proof by contradiction, proof by induction

Step-by-step explanation:

there u go mate

The expression arcctg(tg(x)) simplifies to arcctg(tan(x)).

To simplify the expression arcctg(tg(x)), we can apply trigonometric identities and properties.

The function arcctg(x) is the inverse cotangent function, which is the angle whose cotangent is x. Similarly, tg(x) represents the tangent function.

First, let's simplify the expression inside the arcctg function, which is tg(x):

tg(x) = sin(x) / cos(x)

Now, we can substitute this value into the original expression:

arcctg(tg(x)) = arcctg(sin(x) / cos(x))

Using the property of inverse trigonometric functions, we can rewrite this as:

arcctg(sin(x) / cos(x)) = arcctg(1 / tan(x))

Now, we can simplify further using the identity:

1 / tan(x) = cot(x)

Therefore:

arcctg(1 / tan(x)) = arcctg(cot(x))

Using another identity, we know that the cotangent function is the reciprocal of the tangent function:

cot(x) = 1 / tan(x)

Therefore, we can simplify the expression to:

arcctg(cot(x)) = arcctg(1 / tan(x)) = arcctg(tan(x))

Finally, we arrive at the simplified expression:

arcctg(tg(x)) = arcctg(tan(x))

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The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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a. The transfer function h(z) for the given difference equation is H(z) = (1/√2) (1 + \(z^{-1\)).

The zeros and poles are: Zero at z = -1 and pole at z = 0.

b. The transfer function h(z) for the given difference equation is H(z) = (1/√2) (1 -\(z^{-1\)).

The zeros and poles are: Zero at z = 1 and pole at z = 0.

c. The transfer function h(z) for the given difference equation is H(z) = (8.23z² - 5.4z + 23.45) / (1 - 6.2z + 5.75z²).

The zeros and poles can be found by factoring the denominator of the transfer function. The two poles are at z = 1.7 and z = 4.0, and there are no zeros.

For the given difference equations, the transfer functions and corresponding zeros and poles have been determined. For part a, the transfer function is H(z) = (1/√2) (1 + \(z^{-1\)), with a zero at z = -1 and a pole at z = 0. For part b, the transfer function is H(z) = (1/√2) (1 - \(z^{-1\)), with a zero at z = 1 and a pole at z = 0. For part c, the transfer function is H(z) = (8.23z²  - 5.4z + 23.45) / (1 - 6.2z + 5.75z² ), with poles at z = 1.7 and z = 4.0 and no zeros.

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Answer:

6 is the number

Step-by-step explanation:

6- 4x=18

+6. +6

4x=24

24÷4 = 6

Answer:

4X - 6 = 18

Add six to both sides

4X = 24

Divide both sides by 4

X = 6

So the answer is the number is 6 I hope this helps you!

Step-by-step explanation:

Good luck! Please mark brainliest:)

Answer:

\(\large \boxed{\mathrm{B}}\)

Step-by-step explanation:

3 1/2 is also 0+3 1/2

Arrow from 0 goes to 3 1/2.

3 1/2 - 6 = -2 1/2

Arrow from 3 1/2 goes to -2 1/2.

Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.

We're given:

\(\dfrac{3240\hspace{4}feet}{hour}\)

We also know that:

\(\dfrac{hour}{60\hspace{4}minutes}\)

Multiply the two to cancel out the hour:

\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)

Simplify:

\(=\dfrac{54\hspace{4}feet}{minute}\)

\(\dfrac{54\hspace{4}feet}{minute}\)

Answer:

v = -7/15.

Explanation:

Given the equation:

To solve for v, first, subtract 4/5 from both sides of the equation:

Next, simplify the right-hand side by taking the lowest common multiple of the denominators:

The value of v is -7/15.

Answer:

The third one

Step-by-step explanation:

IT IS NOT A FUNCTION

Answer:

20 students

Step-by-step explanation:

Explanation:

1. Age:

d. 40 years

EER calculated using the formula:

EER = {354 - (6.91 x a)} + b x {(9.36 x c) + (726 x d)}

where, a = age, b= physical activity, c= weight in kilograms (kg), d= height in meters (m).

= {354 - (6.91 x 40)} + 0.5 x {(9.36 x 78) + (726 x 0.14478)

=(354- 276.4) + (0.5 x 730.08) + 105.11028)

= 77.6 + 365.04 + 105.11028

= 547.75028.

BMI:

BMI = kg/m2 where kg= 78, m = 0.14478

BMI = \(\frac{78}{0.14478^{2} }\)

BMI = 3,721.

2. Physical Activity Factor:

e.

Answer:

The area of the garden is 12.

Step-by-step explanation:

All you have to do is multiple the width time the length and you will get 12.

Answer:

39x + 7x + 15y

because there is no difference between 39x + 15y + 7x.

Step-by-step explanation:

39x + 15y + 7x is equivalent to

39 + 7x + 15y