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DIA [1.3K]
3 years ago
14

Ayudaaaaaaa porfavor xd

Mathematics
1 answer:
nydimaria [60]3 years ago
6 0

pls

Step-by-step explanation:

nicce

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Evaluate the geometric series
JulijaS [17]

Answer:

Option B is correct.

sum of given geometric series is, 255

Step-by-step explanation:

Evaluate the geometric series: \sum_{i=1}^{8} 2^{i-1}

we can write this as:

1+2+4+.......+128

Formula for the sum of the geometric series:

S_n = \frac{a(r^n-1)}{r-1} for r > 1

where

a is the first term

n is the number of terms

r is the common ratio

In the given series:

common ratio (r) = 2>1, n = 8 and first term(a) = 1

Since,

\frac{2}{1} = 2

\frac{4}{2} = 2 and so on...

then substitute the given values in [1] we have;

S_n = \frac{1((2)^8-1)}{2-1}

or

S_n = 256-1 = 255

Therefore, the sum of given geometric series is, 255



6 0
3 years ago
Read 2 more answers
An object that weighs 24 pounds on Mercury weighs approximately 80 pounds on Earth. A rock weighs 240 pounds on Mercury. What is
AnnyKZ [126]

Answer:

800 pounds.

Step-by-step explanation:

We have been given that an object that weighs 24 pounds on Mercury weighs approximately 80 pounds on Earth. A rock weighs 240 pounds on Mercury. We are asked to find the weight of rock on Earth.

We will use proportions to solve our given problem as proportions state that the ratio between two proportional quantities is equal.

\frac{\text{Weight on Earth}}{\text{Weight on Mercury}}=\frac{80}{24}

Upon substituting our given value, we will get:

\frac{\text{Weight on Earth}}{240}=\frac{80}{24}

\frac{\text{Weight on Earth}}{240}\cdot 240=\frac{80}{24}\cdot 240

\text{Weight on Earth}}=\frac{80}{1}\cdot 10

\text{Weight on Earth}=800

Therefore, the weight of rock on Earth would be approximately 800 pounds.

4 0
3 years ago
A table is on sale for $289, which is 32% less than the regular price.
prohojiy [21]

Answer:

R = \$903.125

Step-by-step explanation:

Given

Selling\ Price = \$289

Rate = 32\%

Required

Determine the regular price (R)

From the question, we understand that:

R * 32\% = \$289

So, we have:

R * 0.32 = \$289

R = \frac{\$289}{0.32}

R = \$903.125

<em>Hence, the regular price is $903.125</em>

3 0
3 years ago
A restaurant sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month Keith spent $31.75 on a mug and refills. W
Ronch [10]
The answer is 3975 that the aswer
7 0
3 years ago
Read 2 more answers
Please answer this correctly
Vlad [161]

Answer: 1/4

Step-by-step explanation:

The cheesiest recipe would be 1 cup and the least cheesy recipe would be 3/4 cups

1 - 3/4 = 1/4

3 0
3 years ago
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