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2 years ago

Please help quickly !!!! thank youuu!

Mathematics

2 answers:

Alecsey [184]2 years ago

8 0

Answer: you multiply the 2 numbers and divide it by half then your answer is the easy way to do it.

Step-by-step explanation:

FromTheMoon [43]2 years ago

7 0

Answer:

1. Inconsistent

2.Inconsistent

3.Inconsistent

4.Consistent

5.Consistent

6.Consistent

Step-by-step explanation:

I tried my best , I’m not sure if these are correct through

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Integrate 1 - x / x(x2 + 1) d x by partial fractions.

solniwko [45]

Answer:

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

Step-by-step explanation:

step 1:- by using partial fractions

$[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }$ ......(1)

step 2:-

solving on both sides

$1-x=A(x^{2} +1)+(Bx+C)x......(2)$

substitute x =0 value in equation (2)

1=A(1)+0

A=1

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

-1 = C

step 3:-

substitute A,B,C values in equation (1)

now

$\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 } d x -\int\limits \frac{1}{x^{2}+1 } d x$

by using integration formulas

i) by using $\int\limits \frac{1}{x} d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\$ .....(b)

$\int\limits tan^{-1}x dx =\frac{1}{1+x^{2} } +C$ .....(c)

step 4:-

by using above integration formulas (a,b,and c)

we get answer is

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

6 0

3 years ago

How can the quotient of powers law be used to show that a negative exponent is equivalent to the reciprocal

Kay [80]

Answer:Thus, (-3)-4 = 1/(-3)4.

Step-by-step explanation:

Negative exponents have the following property: n-m = 1/nm OR 1/n-m = nm

So for (-3)-4 , n= -3 and -m= -4 (or m= 4).

Thus, (-3)-4 = 1/(-3)4.

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2 years ago

Write 12 as a product of three primes

cestrela7 [59]

Answer:

2 * 2 * 3

Step-by-step explanation:

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3 years ago

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Find the simple interest on the loan of $2500 for 2 years at 5%.

Eduardwww [97]

Answer:

Step-by-step explanation:

simple interest=prt

p=principle amount

r=rate

t=time

here p=$2500

r=5 %=0.05

t=2 years

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2 years ago

The length of an instant message conversation is normally distributed with a mean of 5 minutes and a standard deviation of 0.7 m

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The probability of the message lasting longer than six minutes is 0.955. I hope this helps!

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