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irinina [24]
3 years ago
13

Which two numbers are 4 units away from 0 on the number line?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0
Answer: C


Step by step: .........
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Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.
Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral \int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx, we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}

= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} }  \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du }  \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}]  \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\

= \dfrac{u^{-4}}{40} \\\\\\= \dfrac{1}{40u^4} +C

substitute u = 1-2x⁵ into the result

= \dfrac{1}{40(1-2x^5)^4} +C

Hence\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx = \dfrac{1}{40(1-2x^5)^4} +C

5 0
3 years ago
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
Oksanka [162]
Standard form is ax+by=c

first we use
y-y1=m(x-x1)
a point is (x1,y1)
the slope is m


the slope between the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(1,1) and (3,4)
slope=(4-1)/(3-1)=3/2

a oint is (1,1) and slope is 3/2
y-1=3/2(x-1)
y-1=3/2x-3/2
solve for ax+by=c form, a is normally positive and a and b and c are whole numbers
times 2 both sides
2y-2=3x-3
minus 2y
-2=3x-2y-3
add 3
1=3x-2y
3x-2y=2
5 0
3 years ago
Which best describes the relationship among the volumes of hemisphere X, cylinder Y, and cone Z?
kogti [31]

Answer: I saw on another post on here with the same question that someone said it was

B. The sum of the volumes of X and Z equals the volume of Y.

6 0
3 years ago
The sign shows the cost associated with a whitewater rafting trip write an expression to determind the cost of 3 childern and 1
enot [183]

3+1=h i beev this because you are adding the amount of adults to children then that would get you to h


8 0
3 years ago
Please i need help with this one​
swat32

Answer:

Step-by-step explanation:

use formula

F = 1/2*sqrt[ 4* r^2 -CD^2 ]  

F = 4.4721

4 0
2 years ago
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