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JulijaS [17]
3 years ago
15

What number is 65% of 98?

Mathematics
2 answers:
Eduardwww [97]3 years ago
7 0

Answer:

63.7

Step-by-step explanation:

x=0.65*98

4vir4ik [10]3 years ago
5 0
What is 65% of 98? in mathematical terms it means:
X= 0.65*98
multiply 0.65 by 98, that equals 63.7

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Help!!!!! I'm timed!!!!! ​
djverab [1.8K]

Answer:

Option C, 28

Step-by-step explanation:

2\sqrt{98} * 2

2\sqrt{7^2*2}  *\sqrt{2}

14\sqrt{2} * \sqrt{2}

14*2

28

Answer:  Option C, 28

5 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:

1.

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}}

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

                 <u>                                         </u>

                                            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
2 years ago
What is the area of this composite shape?<br><br><br> Enter your answer in the box.<br><br> in²
Ivanshal [37]

Answer:

32

Step-by-step explanation:

I'm sorry if this is wrong

4 0
3 years ago
$2is what percent of $10
sammy [17]

Answer:

2persent

Step-by-step explanation:

because there are 10 10 in 100

4 0
2 years ago
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the length of a rectangle is 5 centimeters less than six times its width. its area is 14 square centimeters. find the dimensions
V125BC [204]
Not sure if you are familiar with the quadratic equation, but see picture
3 0
3 years ago
Read 2 more answers
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