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Stels [109]
3 years ago
9

Factor completely, 9x4 -225y8

Mathematics
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
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