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3 years ago

9

Factor completely, 9x4 -225y8

1 answer:

Furkat [3]3 years ago

4 0

Step-by-step explanation:

$9x4 -225y8 \\ = 3 \times 3 \times x \times 2 \times 2 -3 \times 5 \times 3 \times 5 \times y \times 2 \times 2 \times 2$

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You work a part-time job at $7.85/hr for 10 hours per week. Your deductions are FICA (7.65%), federal tax withholding (9.8%), an

Dmitrij [34]

Here, My initial salary = 7.85

FICA deduction amount = 7.85 * 7.65% = 7.85 * 0.0765 = 0.60
Federal Tax amount = 7.85 * 9.8% = 7.85 * 0.098 = 0.77
State tax amount = 7.85 * 5.5% = 7.85 * 0.055 = 0.43

So, Total deducted amount = 0.60 + 0.77 + 0.43 = 1.80
Net hourly wage = 7.85 - 1.80 = 6.05

In short, Your Answer would be $6.05

Hope this helps!

4 0

3 years ago

Evaluate the indefinite integral. <br> integar x4/1 + x^10 dx

ivann1987 [24]

Answer:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c$

Step-by-step explanation:

Given

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx$

Required

Integrate

We have:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx$

Let

$u = x^5$

Differentiate

$\frac{du}{dx} = 5x^4$

Make dx the subject

$dx = \frac{du}{5x^4}$

So, we have:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx$

$\int\ {\frac{x^4}{1 + x^{10}}} \, \frac{du}{5x^4}$

$\frac{1}{5} \int\ {\frac{1}{1 + x^{10}}} \, du$

Express x^(10) as x^(5*2)

$\frac{1}{5} \int\ {\frac{1}{1 + x^{5*2}}} \, du$

Rewrite as:

$\frac{1}{5} \int\ {\frac{1}{1 + x^{5)^2}}} \, du$

Recall that: $u = x^5$

$\frac{1}{5} \int\ {\frac{1}{1 + u^2}}} \, du$

Integrate

$\frac{1}{5} * \arctan(u) + c$

Substitute: $u = x^5$

$\frac{1}{5} * \arctan(x^5) + c$

Hence:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c$

7 0

3 years ago

What is the most profound problem in maths?<br> No answer needed, just take the points.

satela [25.4K]

Answer:

SWEEEET!!

Step-by-step explanation:

:D

7 0

3 years ago

Read 2 more answers

I need help with my homework .... It is passed due I have to get it done. If not I will get a F on it ... Please help me with it

Yuki888 [10]

a) see attachment for graph

b) D: [0, 2.5] <em>time cannot be negative so the x-values start at 0</em>

R: [0, 100] <em>height cannot be negative so the y-values start at 0</em>

c) 84 ft <em>refer to the red coordinate on the graph</em>

d) 1.75 seconds <em>refer to the blue coordinate on the graph</em>

e) 2.5 seconds <em>refer to the green coordinate on the graph</em>

<em />

When looking for coordinates at the various given values, remember that x is time and y is height.

If you are given time, then look at the y-value for height
If you are given height, then look at the x-value for the time.

<em />

4 0

3 years ago

Find the non-extraneous solutions of the square root of the quantity of x plus 3 minus 4 equals x minus 1.

lukranit [14]

X+3=(x+3)^2
x+3=(x+3)(x+3)
x+3= x^2+6x+9
x=x^2+6x+6
0=x^2+5x+6
0=(x+3)(x+2)
x=-2
x=-3

7 0

3 years ago

Read 2 more answers