A circular rug is cut from a square piece of carpet. Each side of the square piece of Carpet is 40 inches long. After cutting out the circular rug, approximately how much carpet will be left over?

Answer:

Random samples

Counts of successes and failures at least 15 each for each group.

Step-by-step explanation:

For making any inferences about the differences of the two independent population proportion, we assumed that the samples are of random and the counts of the success and the failures are at least 15 each for each of the groups.

From such assumption of the randomness, the observations in the population 1 will not be affected by the observations in the population 2, and also vice versa.

The assumptions of the counts refers tot he samples from each population that are big enough to justify by the normal distribution in order to model the differences between the proportions.

Therefore the assumptions that we need to make are:

-- Random samples

-- Counts of successes and failures at least 15 each for each group.

When we make inferences about the difference of two independent population proportions, we assume that it is a random sample, and the number of successes and failures are at least 15 in each group.

Two independent proportions tests involve comparing the proportions of two unrelated datasets.

For these two datasets to be regarded as an independent population, the following must be true or assumed to be true

Hence, the above highlights are the assumptions of two independent population proportions.

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Answer:

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

The only choice that has the form a² + 2ab + b² is D.

The square of a binomial is (p – r)². Then the correct option is D.

The square binomial is a polynomial of two-term only and with power of 2. For example, (x + 5)² where x and 5 are the two separate terms.

Let's check the option D, we have

⇒ p² – 2pr + r²

We know that the formula a² – 2ab + b² = (a – b)², then we have

⇒ p² – 2pr + r²

⇒ (p – r)²

Then the correct option is D.

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Answer: 18, 28, 38, 48, 58

Step-by-step explanation:

Answer:

18, 28, 38, 48, 58

Step-by-step explanation:

I think this is pretty self explanatory.

Answer: 8/33

Step-by-step explanation:

r = 0.242424....

100r= 24.2424....

100r - r = 99r

99r = 24

r = 24/99 = 8/33

Answer:

I don't know how to do it the subject

Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

Answer:

The answer is D.

Step-by-step explanation:

The side lengths for this special triangle is represented with x, x\(\sqrt{3}\) , and 2x

if the side length that sees 90 degrees is 10 (2x and x = 5 in this case)

so s (the side length that sees 30 degrees) is = 5

and q (the side length that sees 60 degrees) = 5\(\sqrt{3}\)

Answer:

When a man loves a woman he becomes a SIMP

Step-by-step explanation:

Answer:

they get real deep in there

Step-by-step explanation:

I had the talk when I was 7

Answer:

Step-by-step explanation:

14x - 49 - 3 + 3x = 9 - 6 + 9x

17x - 52 = 9x + 3

8x - 52 = 3

8x = 55

x = 55/8

Answer:

ST = 8 m

Step-by-step explanation:

Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.

PQ corresponds to ST.

Therefore, PQ is congruent to corresponding side ST, which is 8 m

ST = 8 m

Answer:

3 hours

Step-by-step explanation:

The rate of lawn treatment is 75 lawns per 25 hours, which can be simplified as 3 lawns per hour.

If he treats 3 lawns every hour, it will take him 3 hours to treat 9 lawns.

Answer:

42.25

Step-by-step explanation:

Answer:

\(\frac{169}{4}\) or 42.25

Step-by-step explanation:

If you turn the fractions into decimals they become easier to multiply.

1)  3.25 x 6.50 = 21.25

2) 21.25 x 2 = 42.25

The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.

To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.

Now, let's evaluate f'(x) for each of the given x-values:

f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8

f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25

f'(0) = -3(0)^2 - 8(0) + 3 = 3

f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8

f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0

f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13

From the values above, we can determine the intervals where f(x) is decreasing:

f(x) is decreasing for x in the interval (-∞, -3).

f(x) is decreasing for x in the interval (1, 2).

Now let's check the ordered pairs in the table:

(-1, -6): Not in a decreasing interval.

(2, -18): Not in a decreasing interval.

(0, 0): Not in a decreasing interval.

(1, -2): In a decreasing interval.

(-3, -18): In a decreasing interval.

(-4, -12): Not in a decreasing interval.

Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).

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Note the complete and the correct question is

Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).

\(f(x) = -x^3 - 4x^2 + 3x\).

Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)

Answer:

A

Step-by-step explanation: :}

Answer:

The way that I solved this problem, is finding the area of the larger white square and subtracting it by the area of the smaller white squares. In order to find the area of the larger white square I need to find the length of at least one of its sides. From the diagram, we know that the length of the top side of the square next to the shaded square is 10, and since the length of all sides of a square are equal, the length of the right side must also be 10. With this information, we can add the lengths 10 and 16, to get that the length of the side of the larger white square is 26. Now we can square this number to find the area of the larger white square:

26^2 = 676

Now we use this same logic, to know that the area of the white square diagonal to the shaded square is 16^2 = 256. Again, we use the same logic to find that the area of the white square to the right of the shaded square is 10^2 = 100, and the area of the white square bottom to the shaded square is also 100. Now we add these numbers and subtract them from 676:

256 + 100 + 100 = 456

676 - 456 = 220.

So the area of the shaded square is 220.

Answer: x > 2

Step-by-step explanation:

First, you need to isolate the variable by subtracting each side by 15.

4x + 15 > 23

      -15    -15

= 4x > 8

To get the value for the variable, divide each side by 4.

4x/4 = x  8/2 = 2

x>2

Answer:

Step-by-step explanation:

4x + 15 > 23

4x > 8

x > 2

Modeling this scenario with a system of equations using a linear function and a quadratic function yields the following:

y = 2(x - 4)² + 2.

5x + 11y = 62.

A quadratic function with vertex (h,k), may be represented by the equation:

y = a(x - h)² + k

Because the vertex of this issue is located at (4,2), we may deduce that h = 4 and k = 2, and the equation for this problem is as follows:

y = a(x - 4)² + 2.

Because it goes through the location characterized by its coordinates (5, 4), we may determine a by establishing that when x = 5, y = 4.

4 = a + 2.

a = 2.

Thus the equation is:

y = 2(x - 4)² + 2.

The slope, denoted by m, is the rate of change, or the degree to which y deviates from its initial value for each unit of x that is added.

The y-intercept, denoted by the letter b, is the value of the variable y when the variable x is equal to zero. It may also be construed as the beginning value of the function.

Because the road links the locations (–3, 7) and (8, 2), the slope may be calculated as follows:

m = (2 - 7)/(8 - (-3)) = -5/11.

Then:

y = -5/11x + b.

When x = 8, y = 2, hence we use it to find b as follows:

2 = -40/11 + b

b = 62/11.

Then the equation is:

y = -5/11x + 62/11.

5x + 11y = 62.

The system of equations is:

y = 2(x - 4)² + 2.

5x + 11y = 62.

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Answer:

a edge

Step-by-step explanation:

Answer:

The last choice

Answer:

C. (-1,2)

Count where the intersection is.

Go backwards one (-1) on the x-axis, and go up two on the y-axis (2).

Answer:

(-1,2)

Step-by-step explanation:

They intersect on the 1st dash on the x axis

and 2nd dash on the y axis

This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.

Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is \(140 - x\)  , since they drove a total of 140 miles and Mr. Smith already drove x miles.

the algebraic expression for how many miles Mr. Stein drove is:

\(140 - x\)

Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

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The solution to the given composite functions is:

(f + g)(x) = 3(4ˣ)

(f - g)(x) = -7(4ˣ)

Domain of (f + g)(x) is all real numbers

Domain of (f - g)(x) is all real numbers

(f + g)(2) = 48

(f - g)(x) = -112

Composite functions are defined as when the output of one function is used as the input of another. If we have a function f and then another function g, then it means that the function fg(x), which is “ f of g of x”, is the composition of the two functions.

We are given the functions:

f(x) = -2(4ˣ)

g(x) = 5(4ˣ)

Thus:

(f + g)(x) = -2(4ˣ) + 5(4ˣ)

= (4ˣ)(-2 + 5)

= 3(4ˣ)

Similarly:

(f - g)(x) = -2(4ˣ) - 5(4ˣ)

= -7(4ˣ)

Domain of (f + g)(x) is all real numbers

Domain of (f - g)(x) is all real numbers

(f + g)(2) = 3(4²)

= 48

(f - g)(x) = -7(4²)

= -112

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Answer:

If is not one to one is not inverse (no inverse)

Step-by-step explanation:

Answer:

CBA =~ DEA

Step-by-step explanation:

They are both right angles.

How do we know?

They both have the square.

Right angles can ONLY be 90 degrees.

Supplementary and Complementary Angles:

Two angles are supplementary if they add up to 180°.

Two angles are complementary if they add up to 90°.

For example, if one angle is 70°, its supplement is 180°-70° = 110°

Note the angle and its supplement add 70°+110°=180° as expected.

The complement of the same angle is 90°-70°=20°.

Again, note the angle and its complement add 70°+20°=90° as expected.

Now we are ready to solve the equation.

Let's say the required angle is called x.

The supplement of x is 180-x

The complement of x is 90-x

Twice the complement of x is 2(90 - x)

The problem states that the supplement and twice the complement of the angle differ by 35°, thus:

(180 - x) - 2(90 - x) = 35

Solve the equation to find the value of x.

Operating the parentheses:

180 - x - 180 + 2x = 35

Simplifying:

x = 35

The angle is 35°.

Answer:

no

Step-by-step explanation:

Answer:

S - 8

Step-by-step explanation:

S - 8.

hope this helps! Have a great day!

Answer:

Step-by-step explanation:

a Whar grsde are u even in >:/

Answer:

Y=6000

Step-by-step explanation: