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3 years ago

What is 3X^2 × 2X^3

Mathematics

1 answer:

irinina [24]3 years ago

6 0

Answer:

Step-by-step explanation:

3x^2 * 2x^3= 6x^5

Multiply the 3 and 2 to get 6. Add the exponents.

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the minute hand of a clock is 5 inches long. what is the area of the circle, in square inches, created in a hand sweep in an hou

ira [324]

Solve the area of the whole circle since in an hour, the minute hand covers the whole clock
assuming that the minute hand reaches all the way out to the edge of the clock

the minute hand is the radius
area=pi times r^2
r=5
5^2=25
area=pi times 25
area=25pi

aprox pi=3.14
25 times 2.14=78.5

area=78.5 in^2

6 0

3 years ago

Anthony works at a clothing store and gets a 15% employee discount.If he purchase p pants and s shirts his total can be found us

IgorC [24]

Answer:

$192.95

Step-by-step explanation:

$35 x 4 pants = $140

$14.50 x 6 shirts = $87

140 + 87 = $227

227(15%) = $34.05

227 - 34.05 = $192.95

4 0

3 years ago

What is the product in lowest terms

Lostsunrise [7]

(8/15)*(-3/10)

multiply numerators and denominators: -24/150

simplify: -4/25

the answer is A.

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:

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

Please help will mark brainly ! 11 points

pashok25 [27]

Answer:

3/10 > 1/5

Step-by-step explanation:

3/10 = 1.5/5

1/5 = 2/10

3/10 > 2/10

1.5/5 > 1/5

7 0

3 years ago

What is 3X^2 × 2X^3​

What is 3X^2 × 2X^3