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2 years ago

Find the missing terms in the following geometric sequence.

Mathematics

1 answer:

qaws [65]2 years ago

7 0

Answer:

Answer: Option d. 36,108 is the correct answer.

Step-by-step explanation:

In this question we have given a sequence of four terms and we know the first and last term.

Now we have to calculate the ratio of the terms so that we can complete the sequence.

We know the formula of the sequence A(n) = $A(1)r^{n-1}$

Now we know A(4)=324

A(1) = 12

n = 4

So we the values in the formula

324 = $12(r^{4-1)}$

324 = $12r^{3}$

$r^{3} =\frac{324}{12}$

$r=\sqrt[3]{27}$

r = 3

So the sequence will be 12,36,108,324

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1 year = how many seconds? Last question in my h.w and idk how to do it:/

Novay_Z [31]

This should help
60 sec = 1min
60min = 1 hour
24hour = 1day
7 days = 1 week
around 4.3 weeks = 1month
12 months = 1 year

or you could use 365 days and times that by 24 than times that by 60 to get mins and again by 60 to get seconds.

hope this helps

5 0

2 years ago

What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27

nignag [31]

Answer:

y = -18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

y = 5x - 3

3x - 2y = 27

Step 2: Rewrite systems

Define: 3x - 2y = 27
Add 2y on both sides: 3x = 2y + 27
Divide 3 on both sides: x = 2/3y + 9

Step 3: Redefine

y = 5x - 3

x = 2/3y + 9

Step 4: Solve for y

Substitute in x: y = 5(2/3y + 9) - 3
Distribute 5: y = 10/3y + 45 - 3
Combine like terms: y = 10/3y + 42
Subtract 10/3y on both sides: -7/3y = 42
Divide -7/3 on both sides: y = -18

8 0

2 years ago

What do all of the numbers in the box below have in common 60% 0.57 0.9 120%

RideAnS [48]

Answer:

First of all, the numbers are all positive numbers

They can all be divided by the number 3

They are all rational numbers, this means that they can be expressed as a ratio of two numbers

8 0

2 years ago

Water evaporates from a pond at aa rate of 0.005 inches per hour. What is the change in the water level of the pond after 24 hou

Eduardwww [97]

Answer:

Water level after 24 hours will be $\frac{3}{25}\ inches$ .

Step-by-step explanation:

Given:

Evaporate rate of water= 0.005 inches per hour.

We need to find the level of water after 24 hours.

now we know the in 1 hour the water evaporates from a pool at a rate of 0.005 inches.

So To find the water level after 24 hrs we will multiply the evaporation rate with total number of hours which is 24 and the divide by 1 hour we get.

Framing in equation form we get;

water level after 24 hrs = $\frac{24 \times 0.005}1 = 0.12\ inches$

Now to convert the number in rational form we have to multiply and divide the number by 100 we get;

$\frac{0.12\times 100}{100} = \frac{12}{100}=\frac{3}{25}\ inches$

Hence Water level after 24 hours will be $\frac{3}{25}\ inches$ .

5 0

3 years ago

Use the commutative property to simplify -7/16-1/4-5/16

Fiesta28 [93]

Correct. Use the commutative property to rearrange the expression so that compatible numbers are next to each other, and then use the associative property to group them. Incorrect. Check your addition and subtraction, and think about the order in which you are adding these numbers.

6 0

3 years ago