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almond37 [142]
4 years ago
15

Select the correct answer. Which expression represents the series ? 1+5+25+125+625? creating and solving formulas for geometric

series
Mathematics
1 answer:
Art [367]4 years ago
3 0

Answer:

The given series can be written as

4

∑  (5)^i

i = 0

We know that the series  is

1+5+25+125+625

This is equal to

(5)^0 + (5)^1 + (5)^2 + (5)^3 + (5)^4

Thus,

For i from 0 to 4,

We get the general representation.

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What is the exact circumference of a circle with a diameter of 5 inches
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C = 2 × pi × r
C= 2 × pi × 2.5
Your answer is
C = 5 × pi
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3 years ago
A movie theater charges ​$7.00 for adults and ​$2.00 for senior citizens. On a day when people paid for​ admission, the total re
ra1l [238]

Answer:

7.00+2.00=9.00

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8 0
3 years ago
I need to solve this using l'hopital's rule and logarithmic diferentiation.
arlik [135]

Yo sup??

For our convenience let h=x+1

therefore

when x tends to -1, h tends to 0

hence we can rewrite it as

\lim_{h \to \ 0 } (cos(h))^{(cot(h^2 )}

This inequality is of the form 1∞

We will now apply the formula

e^(^g^(^x^)^(^f^(^x^)^-^1^)^)

plugging in the values of g(x) and f(x)

e^{lim_{h \to \ 0}{(cot(h)^2(cos(h)-1))}

express coth² as cosh²/sinh² and also write cosh-1 as 2sin²(h/2)

(by applying the property that cos2x=1-sin²x)

After this multiply the numerator and denominator with h² so that we can apply the property that

\lim_{x \to \ 0 } sinx/x =1

Now your equation will look like this.

e^{lim_{h \to \ 0}{((cos(h)^2(2sin^2(h/2)*h^2)/(sin(h)^2*h^2)}

We will now apply the result

\lim_{x \to \ 0 } sinx/x =1

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we get

e^{lim_{h \to \ 0}{((cos(h)^2(2sin^2(h/2))/(h^2)}

we now multiply the numerator and denominator with 4 so that we can say

\lim_{h^2 \to \ 0 } sin^2(h/2)/(h^2/4) = 1

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Apply the limits and you will get

e^{cos(0)^2*2/4

=e^{1/2}

Hope this helps.

7 0
3 years ago
10 hour - 2 hours 25 minutes -3hours 35 minutes
Gennadij [26K]

Answer:

Step-by-step explanation:

10 hours - 2 hours 25 minutes - 3 hours 35 minutes

Lets just do this

2 hours 25 minutes + 3 hours 35 minutes

25 minutes + 35 minutes = 60 minutes

60 minutes = 1 hour

now we have 2 hours + 3 hours + 1 hour

2 + 3 +1  = 6

now we have 10 hours - 6 hours

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4 hours.

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3 years ago
calculate the gross pay per paycheck for C. D. Edgeling, who makes an annual salary of 30,000 and is paid biweekly
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He would make 1250 every two weeks
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