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3 years ago

I need the answer to both of these questions help me

Mathematics

1 answer:

AVprozaik [17]3 years ago

7 0

C.16,4 I think that the answer

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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

7 0

4 years ago

What is 0.17 as an equivalent fraction

xenn [34]

Since the 17 is in the hundreds place, the fraction would be 17/100. ☺️

8 0

3 years ago

Read 2 more answers

The diagram shows an isosceles right

Pachacha [2.7K]

Answer:1. 1.0 1.0 1.4

Step-by-step explanation:

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3 years ago

Lee's family had a garden in the shape of a right triangle. the total area of the garden is 16 square feet. if they expand the g

lana [24]

Area of right-angled triangle is given by;

Area, A = 1/2 *b*h, Where b=base, h=height

Therefore,

A1 = 1/2bh = 16 in^2
A2 = 1/2 (2b)(2h) = 2bh

Ratio of increase = A2/A1 = {2bh}/(1/2bh} = 4 (the area is increased 4 times)
The,
A2 = 4*16 = 64 in^2
Therefore,
The area is increased by (64-16) = 48 in^2

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3 years ago

Mrs. Hanson has a potato salad recipe that calls for 238 pounds of potatoes, but she wants to make 112 times as much as the reci

MrRa [10]

Answer:

3 9/16 lbs

Step-by-step explanation:

took quiz

3 0

3 years ago