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2 years ago

What is the sum of the distinct prime factors of 315

1 answer:

7 0

Answer: The exponents in the prime factorization are 2, 1, and 1. Adding one to each and multiplying we get (2 + 1)(1 + 1)(1 + 1) = 3 x 2 x 2 = 12. Therefore 315 has exactly 12 factors.

Step-by-step explanation: First, the exponents in the prime factorization are 2, 1, and 1. Then adding one to each and multiplying we get (2 + 1)(1 + 1)(1 + 1) = 3 x 2 x 2 = 12. Finally, 315 has exactly 12 factors.

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Compute i^1+i^2+i^3....i^99+i^100

fgiga [73]

Good morning ☕️

Answer:

Step-by-step explanation:

Consider the sum S = i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰

S = i¹ + i² + i³ + . . . + i⁹⁹ + i¹⁰⁰

S = a₁ + a₂ + a₃ +. . . + a₉₉ + a₁₀₀

then, S is the sum of 100 consecutive terms of a geometric sequence (an)

where the first term a1 = i¹ = i and the common ratio = i

FORMULA:______________________

$S=(term1)*\frac{1-(common.ratio)^{number.of.terms}}{1-(common.ratio)}$

_______________________________

then

$S=i*\frac{1-i^{100} }{1-i}$

or i¹⁰⁰ = (i⁴)²⁵ = 1²⁵ = 1 (we know that i⁴ = 1)

Hence

S = 0

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2 years ago

How many unit angles does the smaller angle of a tan pattern block turn through?

galina1969 [7]

Ok so all you have to do is multiple 9 And 4 ok then you will get you answer

Hope this helps

Don't forget to rate and thanks me

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2 years ago

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Average speed of Car 1 = 45 mph. Average speed of Car 2 = 65 mph. Time elapsed between start of Car 1 and start of Car 2 = 18 mi

Art [367]

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2 years ago

An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax

kari74 [83]

Answer:

$713.8

Step-by-step explanation:

14%of 860 = 120.4

3% of 860 = 25.8

so, subtract the sum of the above 2 values from 860.

860 - (120.4+25.8) = 860-146.2 = 713.8

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2 years ago

Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is

Katarina [22]

Prove:

The angle inscribed in a semicircle is a right angle.

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2 years ago

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