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Marat540 [252]
3 years ago
6

Write the ratio as a fraction in simplest form. 10 feet to 5 yards

Mathematics
1 answer:
Alex17521 [72]3 years ago
3 0

Answer:

1:0.33

Step-by-step explanation:

This is because one foot= .333 yards

I hope this is what you were asking! :)

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Help asap , algebra 1
r-ruslan [8.4K]

Answer: SOMEONE LITERALLY ASKED ME THIS YESTERDAY. Also, the answer is t-3<26

Step-by-step explanation:

Just convert it into numbers.

3 0
2 years ago
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how much money has to be invested at 3.3% interest compounded constinuously to have $45,00 after 19 years
Sedaia [141]
P=$24038.60 has to be invested to have $45000 after 19 years
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3 years ago
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Does the series converge or diverge? If it converges, what is the sum? Show your work. ∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Given the series,

∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1

I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)

So,

∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞

There are different types of test to show if a series converges or diverges

So, using Ratio test

Lim n → ∞ (a_n+1 / a_n)

Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))

Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))

Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)

Lim n→ ∞ (-1/2)^(n-n+1)

Lim n→ ∞ (-1/2)^1 = -1/2

Since the limit is less than 0, then, the series converge...

Sum to infinity

Using geometric progression formula

S∞ = a / 1 - r

Where

a is first term

r is common ratio

So, first term is

a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1

a_1 = -4

Common ratio r = a_2 / a_1

a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2

a_2 = 2

Then,

r = a_2 / a_1 = 2 / -4 = -½

S∞ = -4 / 1--½

S∞ = -4 / 1 + ½

S∞ = -4 / 3/2 = -4 × 2 / 3

S∞ = -8 / 3 = -2⅔

The sum to infinity is -2.67 or -2⅔

Check attachment for better understanding

3 0
3 years ago
It takes 40 minutes for eight people to paint four walls how many minutes does it takes 10 people to paint seven walls
sasho [114]
8r(40)=4

r=1/80  that is the rate for each person...

10rt=7  using r we found before

10(1/80)t=7

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t=56 minutes.
8 0
3 years ago
Find the measure of angle x in the figure below:
BartSMP [9]
First, it's worth noting that angles on a straight line sum to 180°. We can use this information to find out the value of y:
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Another rule is that the angles in a triangle sum to 180° as well. This means that we can now find out x:
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180-63-69=x
x=48°
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3 years ago
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