MATHEMATICS
HIGH SCHOOL

Write an explicit definition that defines the sequence:

Group of answer choices

a_n=2n+3 a n = 2 n + 3

a_n=3n+2 a n = 3 n + 2

a_n=3n^2 a n = 3 n 2

a_n=2^n+3

Answer:

Answer:

Step-by-step explanation:

The given sequence is not arithmetic, it's a geometric sequence, that means the sequence is obtain using powers. The faster way to find the answer is to try options that fist with a geometric sequence. If we try the last one, we'll find that's the answer.

We need to try for n=1, n=2, n=3, n=4 and n=5:

a_{1}=2^{1}+3=5

a_{2}=2^{2}+3=4+3=7

a_{3}=2^{3}+3=8+3=11

a_{4}=2^{4}+3=16+3=19

a_{5}=2^{5}+3=32+3=35

Therefore, the right answer is the last choice, because as you can observe, it fits perfectly with the given sequence.

MIDDLE SCHOOL

Solve for 3X^2-6=10-x^2

Answer: x = 2

Step-by-step explanation:

3x2 - 6 = 10 - x2

+6 +6

3x2 = 16 - x2

+x2 +x2

4x2 = 16

4/4 16/4

x2 = 4

√x2 = √4

x = 2

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COLLEGE

Write as percent. write the remainder in fractional form 5/9

we are given

a number in fraction form as

Percentage form:

To write numbers in percentage form , we multiply that fraction by 100

so, it's percentage is 55.56%........Answer

The remainder in fraction form:

Since, numerator =5

denominator =9

so, numerator < denominator

so, the same will be in remainder form

so, remainder form is

.............Answer

MIDDLE SCHOOL

A 72,000 gallon water tower is being drained. Two thousand gallons are drained in the first hour. How many hours will it take to drain the water tower?

Answer:

To drain the water tower it will take 36 hours.

Step-by-step explanation:

Given:

A 72,000 water tower is being drained, and in an hour 2000 gallons are drained.

Now, to calculate the hours it would take to drain total 72,000 gallons of water, we should divide the gallons of water drained in one hour by total gallons of water in the tower.

Gallons of total water in the tower ÷ Gallons of water drained per hour

Therefore, to drain the water tower it will take 36 hours.

COLLEGE

Select the margin of error that corresponds to the sample mean that corresponds to each population: A population mean of 25, a standard deviation of 2.5, and margin of error of 5%

1. 30

2. 25

3. 20

Answer:

25

Step-by-step explanation: