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3 years ago

I NEED HELP ASAP PLEASE

Mathematics

1 answer:

ElenaW [278]3 years ago

3 0

It’s F because you have to change the improper fraction to a equal one and it’s F

Hope this helped

Answer F

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Please help me with this question. what is the area?

chubhunter [2.5K]

The formula for that area would be A=1/2xbxh so you would do A=1/2x3.5x3 and that equals 5.25

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3 years ago

The temperature in buffalo, New York, one Saturday was 68F. The temperature that following Monday was 80F. Write an equation tha

Ugo [173]

the answer is 80F-68F=x

x=12

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4 years ago

Read 2 more answers

Somebody answer plz and thanks if u do

Katarina [22]

Answer:

y=-3, x=3

Step-by-step explanation:

step by step in picture

everything you asked for is in the picture

4 0

3 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Y = (4/9) x

frez [133]

Answer:

V = 8.06 cubed units

Step-by-step explanation:

You have the following curves:

$y_1=\frac{4}{9}x^2=f(x)\\\\y_2=\frac{13}{9}-x^2=g(x)$

In order to calculate the solid of revolution bounded by the previous curves and the x axis, you use the following formula:

$V=\pi \int_a^b [(g(x))^2-(f(x))^2]dx$ (1)

To determine the limits of the integral you equal both curves f=g and solve for x:

$f(x)=g(x)\\\\\frac{4}{9}x^2=\frac{13}{9}-x^2\\\\\frac{4}{9}x^2+x^2=\frac{13}{9}\\\\\frac{13}{9}x^2=\frac{13}{9}\\\\x=\pm 1$

Then, the limits are a = -1 and b = 1

You replace f(x), g(x), a and b in the equation (1):

$V=\pi \int_{-1}^{1}[(\frac{13}{9}-x^2)^2-(\frac{4}{9}x^2)^2]dx\\\\V=\pi \int_{-1}^1[\frac{169}{81}-\frac{26}{9}x^2+x^4-\frac{16}{81}x^4]dx\\\\V=\pi \int_{-1}^1 [\frac{169}{81}-\frac{26}{9}x^2+\frac{65}{81}x^4]dx\\\\V=\pi [\frac{169}{81}x-\frac{26}{27}x^3+\frac{65}{405}x^5]_{-1}^1\\\\V\approx8.06\ cubed\ units$

The volume of the solid of revolution is approximately 8.06 cubed units

8 0

4 years ago

a man invested one third of his money at 5%, half of his money st 5.5%. if his total annual investment income was 735,how much h

stepan [7]

Remark
Let the amount invest = x

(1/3 x) * 5/100 + (1/2 x) * 5.5/100 = 735 Multiply numerators and denominators together on each side of the plus sign.

5x/300 + 5.5x / 200 = 735

Multiply both sides of the equation by 600 to get rid of the denominators.
(5x/300)*600 + (5.5x/200)*600 = 735 * 600
(5x * 2) + 5.5x * 3 = 441000
10x + 16.5x = 441000 Combine the like terms on the left.
26.5 * x = 441000 Divide by 26.5 on both sides.
x = 441000/26.5
x = 16641.51 = invested amount <<<<< answer

Check
1/3 * 5/100 * 16641.51 = 277.36
1/2 * 5.5/100*16641.51 = 457.63
The total = 735 which is what it should be.

4 0

3 years ago