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leva [86]
3 years ago
12

there are 486 books in the classroon library. Complete the chart to show 486 rounded to the nearest 10 hundreds tens ones

Mathematics
1 answer:
dalvyx [7]3 years ago
6 0
. -tu i....-.ru -.......
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the height of a cylinder is three times the diameter of the base . The surface area of thre ylinder is 126pi ft^2. What is thr r
Over [174]
The answer is 3 ft

The surface area (SA) of a cylinder with radius r and height h is:
SA = 2πr² + 2πrh = π(2r² + 2rh)

We have:
SA = 126π ft²
h = 3 * d
d = 2r
h = 3 * 2r = 6r

126π = π(2r² + 2rh)
126 = 2r² + 2rh
126 = 2r² + 2r * 6r
126 = 2r² + 12r²
126 = 14r²
r² = 126/14
r² = 9
r = √9
r = 3
8 0
3 years ago
Read 2 more answers
Find x please<br><br><br> 10.3<br><br><br> 9.6<br><br><br> 84<br><br><br> 9
valentinak56 [21]

The 2 small black lines through the sides of the triangle indicate that the 2 sides are the same length.

Because the 2 sides are the same the 2 bottom angles are also the same.


This means that 9x +3 = 84

Now we can solve for x:

9x +3 = 84

Subtract 3 from each side:

9x = 91

Divide both sides by 9:

x = 81 / 9

x = 9

4 0
3 years ago
Find a power series representation for the function. (Give your power series representation centered at x = 0.)f(x) = x3x2 + 1f(
makkiz [27]

I suppose you mean

f(x)=\dfrac{x^3}{x^2+1}

Recall that for |x|, we have

\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n

Then

\dfrac1{1+x^2}=\dfrac1{1-(-x^2)}=\displaystyle\sum_{n=0}^\infty(-x^2)^n=\sum_{n=0}^\infty(-1)^nx^{2n}

which is valid for |-x^2|=|x|^2, or more simply |x|.

Finally,

f(x)=\displaystyle\frac{x^3}{x^2+1}=\sum_{n=0}^\infty(-1)^nx^{2n+3}

8 0
3 years ago
Please help will give brainliest
photoshop1234 [79]
<h2>Answer:</h2><h2 />

If we have two functions f \ and \ g such that f(g(x))=x for every x in the domain of g, and g(f(x))=x for every for every xin  the domain of  f. If we prove this, then g is the invers function of f and denoted by f^{-1}

1. We need to prove whether f(g(x))=x. So:

f(x)=\frac{4}{5}x+1 \\ \\ g(x)=\frac{5x-5}{4} \\ \\ So: \\ \\ f(g(x))=\frac{4}{5}\left(\frac{5x-5}{4})+1 \therefore f(g(x))=\frac{4}{5}\left(\frac{5x-5}{4})+1

\therefore f(g(x))=x-1+1 \\ \\ \boxed{f(g(x))=x}

2. We need to prove whether g(f(x))=x. So:

g(f(x))=\frac{5(\frac{4x}{5}+1)-5}{4} \\ \\ \\ g(f(x))=\frac{4x+5-5}{4} \\ \\ \\ g(f(x))=\frac{4x}{4} \\ \\ \\ g(f(x))=x

Since f(g(x))=g(f(x))=x, then:

f(x) \ and \ g(x) are inverses to each other.

3 0
2 years ago
A hardware store’s revenue R in dollars from selling x lawnmowers is given by the equation R=90x-x^2
nalin [4]

Answer:

2000

Step-by-step explanation:

38.

R = 90x - x²

R = 90(50) - 50²

R = 4500 - 2500

R = 2000

7 0
3 years ago
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