3 years ago

Which represents the sum of the geometric series 4+12+36+108+...+78,732

1 answer:

katrin2010 [14]3 years ago

7 0

Each successive term is 3 times the previous one, so you could write the sum as

$\displaystyle\sum_{i=1}^{10}4\times3^{i-1}=118096$

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On a school trip, the ratio of the teachers to students is 2:21. The ratio boys to girls is 4:3. If there are 18 girls girls on

Alexandra [31]

Answer:

Step-by-step explanation:

Let's say B is the number of boys and T is the number of teachers.

T / (B + 18) = 2/21

B/18 = 4/3

Solve the second equation for B.

B = 24

Plug into the first equation to find T.

T / (24 + 18) = 2/21

T = 4

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3 years ago

An acorn falls from the branch of a tree to the ground 25 feet below. The distance, S, that the acorn is from the ground as it f

Hunter-Best [27]

Answer:

$0$

Step-by-step explanation:

We are given that,

The fall of the acorn is represented by the function,

$S(t) =-16t^2+25$

Equating S(t) to 0 gives,

$0=-16t^2+25$

i.e. $16^2=25$

i.e. $t^{2}=\frac{25}{16}$

i.e. $t=\pm \frac{5}{4}$

Since, time cannot be negative.

So, $t=\frac{5}{4}$ i.e. 1.25 seconds is the time when the acorn will reach the ground.

Thus, from the figure below, we see that,

The interval in which the acorn is in the moving air is $0$ .

7 0

3 years ago

Read 2 more answers

How do you simplify this expression? -12 divided by 3•(-8+(-4)^2-6)+2

stepan [7]

I good accumulator to use would be symbolab.com

The answer would be 3072/5629

5 0

3 years ago

During a sale, everything in the store was ⅕ off the ticketed price. What percent of an item's original price should you expect

tiny-mole [99]

You would pay 80% of the original price because 1/5 is 20% and you would subtract 20 from 100 to get 80 as your answer

Hope this Helps :3

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3 years ago

About 6% of the population has a particular genetic mutation. 600 people are randomly selected. find the standard deviation for

Rina8888 [55]

Assume a binomial distribution. Then the mean of the distribution is $np$ , where $n$ is the number of people taken in a sample and $p$ is the probability of the mutation occurring in any given person, and the standard deviation is $\sqrt{np(1-p)}$ . Then in this case, the standard deviation is $\sqrt{600(0.06)(0.94)}\approx5.82$ .

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3 years ago