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4 years ago

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Mathematics

1 answer:

kkurt [141]4 years ago

3 0

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.

Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

factorization of 45 is 5 x 3 x 3, or 5 x 3^2.

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Represent the geometric series using the explicit formula. 2, −8, 32, −128, … f(n) = 2 ⋅ (−4)(n−1) f(n) = 2 ⋅ (4)(n−1) f(n) = f(

Stolb23 [73]

Answer:

Option B

Step-by-step explanation:

I did the test and I got it right.

3 0

3 years ago

Read 2 more answers

what is the answer to The value of y is directly proportional to the value of X. If y=55, when X=120, what is the value of y whe

allsm [11]

Answer:

27.5

Step-by-step explanation:

y = kx

55 = 120k

k = 55/120

y = 55/120 x 60

y = 55/2

y = 27.5

4 0

3 years ago

Which one is correct? Please hurry <3

forsale [732]

Answer:

a. how many tries do u have.

Step-by-step explanation:

4 0

3 years ago

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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

50 POINTS ... A Euler circuit has ___ ODD vertices.

Scrat [10]

The answer is 2 ODD vertices :)

8 0

3 years ago

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