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3 years ago

Don't guess!

Mathematics

1 answer:

marysya [2.9K]3 years ago

4 0

The answer would be A because the amount of pages she reads depends on the amount of time she takes to read

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The stained glass window shown is a half circle. What is the perimeter of the window? use 3.14 for π. Show your work.

Liono4ka [1.6K]

Answer:

81.64

Step-by-step explanation:

]

4 0

2 years ago

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What is the best estimate of the mean age of all the people in the tour group?

marissa [1.9K]

Mean = (19 +27 +25+21+44+22+45+34)/8 = 29.625≈30 years

Answer is 30.

7 0

3 years ago

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They are 100 questions on the math test salad answered 88 of those questions correctly what percent did she get correct on the t

Debora [2.8K]

88/100 = 0.88 = 88% were answered correctly

4 0

3 years ago

1. Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants.

german

Answer:

Step-by-step explanation:

To write the form of the partial fraction decomposition of the rational expression:

We have:

$\mathbf{\dfrac{8x-4}{x(x^2+1)^2}= \dfrac{A}{x}+\dfrac{Bx+C}{x^2+1}+\dfrac{Dx+E}{(x^2+1)^2}}$

Using partial fraction decomposition to find the definite integral of:

$\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}dx$

By using the long division method; we have:

$x^2-8x-20 | \dfrac{2x}{2x^3-16x^2-39x+20 }$

$- 2x^3 -16x^2-40x$

$x+ 20$

So;

$\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x+\dfrac{x+20}{x^2-8x-20}$

By using partial fraction decomposition:

$\dfrac{x+20}{(x-10)(x+2)}= \dfrac{A}{x-10}+\dfrac{B}{x+2}$

$= \dfrac{A(x+2)+B(x-10)}{(x-10)(x+2)}$

x + 20 = A(x + 2) + B(x - 10)

x + 20 = (A + B)x + (2A - 10B)

Now; we have to relate like terms on both sides; we have:

A + B = 1 ; 2A - 10 B = 20

By solvong the expressions above; we have:

$A = \dfrac{5}{2}$ $B = \dfrac{3}{2}$

Now;

$\dfrac{x+20}{(x-10)(x+2)} = \dfrac{5}{2(x-10)} + \dfrac{3}{2(x+2)}$

Thus;

$\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)}$

Now; the integral is:

$\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx = \int \begin {bmatrix} 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)} \end {bmatrix} \ dx$

$\mathbf{\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx = x^2 + \dfrac{5}{2}In | x-10|\dfrac{3}{2} In |x+2|+C}$

3. Due to the fact that the maximum words this text box can contain are 5000 words, we decided to write the solution for question 3 and upload it in an image format.

Please check to the attached image below for the solution to question number 3.

4 0

3 years ago

Add (1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2) For each term in the second polynomial, enter the letter showing where that term s

vesna_86 [32]

(1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2)

In adding polynomials, make sure that each term is grouped together.

1.3t³ + 0.4t² - 24t
 + 0.6t² - 18t + 8
1.3t³ + 1.0t² - 42t + 8

In a polynomial equation, arrangement of each term is dependent on the exponential number. It should be from the highest exponent to the lowest.

4 0

3 years ago

Read 2 more answers