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motikmotik
3 years ago
11

Round to the nearest hundredth: 0.631666666666667 0.574166666666667

Mathematics
2 answers:
zlopas [31]3 years ago
7 0

Answer:

0.63

0.57

This is the required answer hope it helps

Alika [10]3 years ago
3 0
The nearest hundredths place would be 0.63 and 0.57.
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Find the indicated function values for the function below<br> g(x)=9x + 8<br> g(0) =
Dennis_Churaev [7]

Answer:

g(0) = 8

Step-by-step explanation:

The problem gives us the following function:

g(x) = 9x + 8

g(0) =

This is the value of g when x = 0. So

g(x) = 9x + 8

g(0) = 9*0 + 8

g(0) = 8

So the answer to this question is:

g(0) = 8

6 0
3 years ago
Integral of 17/(x^3-125)
daser333 [38]

Answer:

17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

Step-by-step explanation:

∫ 17 / (x³ − 125) dx

= 17 ∫ 1 / (x³ − 125) dx

= 17 ∫ 1 / ((x − 5) (x² + 5x + 25)) dx

Use partial fraction decomposition:

= 17 ∫ [ A / (x − 5) + (Bx + C) / (x² + 5x + 25) ] dx

Use common denominator to find the missing coefficients.

A (x² + 5x + 25) + (Bx + C) (x − 5) = 1

Ax² + 5Ax + 25A + Bx² − 5Bx + Cx − 5C = 1

(A + B) x² + (5A − 5B + C) x + 25A − 5C = 1

Match the coefficients and solve the system of equations.

A + B = 0

5A − 5B + C = 0

25A − 5C = 1

A = 1/75

B = -1/75

C = -2/15

So the integral is:

= 17 ∫ [ 1/75 / (x − 5) + (-1/75 x − 2/15) / (x² + 5x + 25) ] dx

Simplify:

= 17/75 ∫ [ 1 / (x − 5) − (x + 10) / (x² + 5x + 25) ] dx

Factor ½ from the numerator of the second fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 20) / (x² + 5x + 25) ] dx

Split the fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − ½ (15) / (x² + 5x + 25) ] dx

Multiply the last fraction by 4/4:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 30 / (4x² + 20x + 100) ] dx

Complete the square:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 15 / ((2x + 5)² + 75) ] dx

Split the integral:

= 17/75 ∫ 1 / (x − 5) dx − 17/150 ∫ (2x + 5) / (x² + 5x + 25) dx − 17/5 ∫ 1 / ((2x + 5)² + 75) dx

The first integral is:

∫ 1 / (x − 5) dx = ln│x − 5│

The second integral is:

∫ (2x + 5) / (x² + 5x + 25) dx = ln(x² + 5x + 25)

The third integral is:

∫ 1 / ((2x + 5)² + 75) dx = 1/√75 tan⁻¹((2x + 5) / √75)

Plug in:

= 17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

4 0
3 years ago
Determine if the expression - x^3 y^5 / 3 is a polynomial or not. If it is a polynomial, state the type and degree of the polyno
kykrilka [37]

Answer:

it is not a polynomial it has no degree either .. and we only classify polynomials in accordance with their degrees

4 0
2 years ago
Need help finding the range and outliner
777dan777 [17]
Outlier would be 25 because is the number that is the farthest away from the other numbers 
4 0
2 years ago
Read 2 more answers
Given f(x)=x-7 and g(x)=x² <br>find g(f(4))​
vova2212 [387]

Answer:

Step-by-step explanation:

f(4) = 4-7 = -3

g(-3) = (-3)^2 = 9

6 0
3 years ago
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