ynthia Besch wants to buy a rug for a room that is 20 ft wide and 26 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 280 square feet of carpeting. What dimensions should the rug​ have?

Answer:

Which circumstance led the Confederacy to think that it could purchase weaponry and supplies to use in the Civil War?

A.  

increased taxation on Southern states

B.  

support from Britain and France

C.  

an abundance of cotton in the Southern states

D.  

profits from the large number of industries

Step-by-step explanation:

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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Mia's gross pay was $794 at the end of the week.

To calculate Mia's gross pay, we have to find how much she earned working 37 hours at a rate of $12 per hour.

We can simply multiply both variable to determine how much she earned working for 37 hours.

\(37 * 12 = 444\)

Mia earned $444 for that week.

We can add this to her 5% commission which would be 5% of $7000

\(5\% of 7000 = 350\)

The sum of Mia's gross pay for the week is

\(444 + 350 = 794\)

She earned $794 in gross pay at the end of the week.

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Answer:

2x+8.7=23.4

Step-by-step explanation:

Answer:

\(\frac{13m}{3}-\frac{n}{5}\)

Step-by-step explanation:

1) Simplify \(\frac{47}{6}m\) to  \(\frac{47m}{6}\)

\(\frac{47m}{6}+n-\frac{7}{2}m-\frac{6}{5}n\)

2) Simplify \(\frac{7}{2}m\)  to \(\frac{7m}{2}\)

\(\frac{47m}{6}+n-\frac{7m}{2}-\frac{6}{5}n\)

3) Simplify  \(\frac{6}{5}n\)  to\(\frac{6n}{5}\)

\(\frac{47m}{6}+n-\frac{7m}{2}-\frac{6n}{5}\)

4) Collect like terms.

\((\frac{47m}{6}-\frac{7m}{2})+(n-\frac{6n}{5})\)

5) Simplify.

\(\frac{13m}{3}-\frac{n}{5}\)

Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

blah blah blah blah blah blah blah blah blah

Answer: B

Step-by-step explanation: multiply 3/8 by 4 to get 3/2 then put 3/2 in decimal form to get 1.5

Answer:

C on Edge 2020

Step-by-step explanation:

The graph where the 60 degree angle is touching the y axis and air is above ground

Answer:

C) the third graph

Step-by-step explanation:

got it right on edge :)

7173 water bottles that can be produced at a production cost of $5,258.

To find the slope (m), we can use the formula:

m = (4582 - 885) / (6280 - 1200)

m = 3697 / 5080

m ≈ 0.7274

Now, let's find the y-intercept (b) using the equation:

b = y - mx

b = 885 - 0.7274 x 1200

b = 885 - 872.88

b ≈ 12.12

Therefore, the equation of line is

y = 0.7274x + 12.12

Now, the production cost of $5,258 means put y= 5258

5258 = 0.7274x + 12.12

5239.88 = 0.7274x

x= 7203

Thus, 7173 water bottles that can be produced at a production cost of $5,258.

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The equation is correct, and the value on both sides of the equation is 40.

To verify if the equation 90 × 4/9 = 40 is true, we can perform the calculation on both sides and compare the results.

On the left side of the equation:

90 × 4/9 = (90 × 4) / 9 = 360 / 9 = 40

On the right side of the equation:

40

Both sides of the equation evaluate to 40, which means they are equal. Therefore, the equation 90 × 4/9 = 40 is indeed true.

In summary, the equation is correct, and the value on both sides of the equation is 40.

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Answer: 240 degrees

Step-by-step explanation: minute hand makes 360 degree circle in hour.

There is no influence for the length of hand in this case.

40 minutes is 2/3 hours. 2/3 ·360 degrees

Answer:

3

Step-by-step explanation:

Answer:

3/9ths

Step-by-step explanation:

The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

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Answer:

no triangle given try to use a = 1/2(b x h) for the area

Step-by-step explanation:

Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

Step-by-step explanation:

We need to write the given expression in the form of \(7^n\) and the expression is \((7^3)^3\).

The property is : \((x^n)^m=x^{nm}\)

We have, x = 7, n = m = 3

So,

\((7^3)^3=7^{3\times 3}\\\\=7^9\)

Therefore, the value of n is 9.

Answer:

After 12 games.

Step-by-step explanation:

Deanna's money after playing 12 games =

15 - (0.75 × 12) = 6$

Lisa's money after playing 12 games =

12 - (0.50 × 12) = 6$

Step-by-step explanation:

the answer is D (y=16.9)

I divided 507 and 30 and got the answer 16.9.

if you would've put any other answer it would've been wrong because the answer had the 30 in it after it was divided.(not sure if its 100% correct)

Answer:

Step-by-step explanation:

4/mx

The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

A. To find f(x) + g(x), we add the two functions together:

f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)

To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:

f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]

Simplifying the numerator:

f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]

Combining like terms:

f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]

B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:

(x^2 - 9) = 0  --> x = -3, 3

(x^2 + 3x) = 0 --> x = 0, -3

So, the excluded values are x = -3, 0, and 3.

C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.

At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.

At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.

Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

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Answer:

1. \(750(0.041) = $30.75\)

2. \(90.75 - 55 = 35.75\\\frac{35.75}{55} = 0.65\\\)   65%

3. \(13(1.06) = 13.78\)

Please remember to brainlist this answer

Answer:

give them brainliest

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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Step-by-step explanation:

Let's solve your equation step-by-step.

−9m2−8m−3=0

For this equation: a=-9, b=-8, c=-3

−9m2+−8m+−3=0

Step 1: Use quadratic formula with a=-9, b=-8, c=-3.

m=

−b±√b2−4ac

2a

m=

−(−8)±√(−8)2−4(−9)(−3)

2(−9)

m=

8±√−44

−18

Answer:

No real solutions.

The given equation has no real solutions.

We have given that the quadratic equation

\(-9m^2-8m-3=0\)

For this equation: a=-9, b=-8, c=-3

\(-9m^2-8m-3=0\)

Step 1: Use quadratic formula with a=-9, b=-8, c=-3.

\(x=\frac{-b \±\sqrt{b^2-4ac}} {2a}\)

Therefore we have,

\(x=\frac{-b \±\sqrt{b^2-4ac}} {2a}\)

\(x=\frac{-(-8)\±\sqrt{(-8)^2-4(-9)(-3)} }{2(-9)}\)

\(x=-\frac{4}{9} -i\frac{\sqrt{11} }{9}\) and \(x=-4/9+i\frac{\sqrt{11} }{9}\)

This equation has no real solutions.

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Answer:

B. -8

Step-by-step explanation:

F(x) = 2x

F(-4) = 2(-4) = -8

Answer:

Yes, there is a proportional relationship. For every 6 pounds of apple sold, they make $13.50.

Answer : 0.99

Explanation :  15 * 6.6/100 For The Tax.

Total : 15.99

Answer:

6 to the 3rd power ÷ 4 + 2 ×9(256-17×4)

6 to the 3rd power ÷ 4 + 2 ×9(256-68)

6 to the 3rd power ÷ 4 + 2 ×9×188

216 ÷ 4 + 2 × 1692

216 ÷ 4 + 3384

54 + 3384

=3438

Answer:

$1,300

Step-by-step explanation: