Which of the following is equivalent to 5(a + 3) + 12?

5a + 15
5a + 27
5a + 36
15a + 12 please help me

The 6th term of the geometric sequence is 972.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

Given that the geometric series is 4, 12, 36, 108, the common ratio will be calculated as,

r = 36 / 12

r = 3

The 6th term of the sequence will be calculated by the formula,

\(a_n=a_1r^{n-1}\)

Substitute the values in the formula and solve,

\(a_6=a_1r^5\\a_6=(4)\times (3)^5\\a_6=4\times 243\\a_6=972\)

Therefore, the 6th term of the geometric sequence is 972.

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Answer:

There is a 10 percent increase

Answer:

b

Step-by-step explanation:

Answer:

you can make 12 cans of them

Answer:

\(2(y + 2) = 3(y - 7) \\ 2y + 2 \times 2 = 3y - 3 \times 7 \\ 2y + 4 = 3y - 21 \\ y \: terms \: togther \\ 3y - 2y = 4 + 21 \\ y = 25\)

\(thank \: you\)

Answer:

39 pages

Step-by-step explanation:

If 13 pages are read in 1/3 of an hour, we need to multiply 13 by 3 to get the number of pages read in 1 hour. 13*3 = 39 pages

Answer:

Power of a quotient

Answer:

Go download CameraMath on playstore

Answer:Some equations may not have solutions and some may have one or more than one is because of the variables or how they are written

Step-by-step explanation:not 100% sure this is the correct answer,I tried my best.

A system of equations consists on a group of equations that we must solve at the same time.

From this, the solutions of a system of equations appear as the intersections between the graphs of the equations that conform the system.

So for example, if a system has two parallel lines (two lines that never intersect) that system will have no solution.

If a system has two different and not parallel lines, these lines will intersect at some point, so this system will have one solution.

And finally, if the system has twice the same line, the graphs of the lines will intersect in infinite points, thus, this system has infinite solutions.

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Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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Answer:

120 u^3

Step-by-step explanation:

for volume it would be length*width*height, but it doesnt have to be in that order. count each unit and multiply them :)

Answer:

The word has nine(9) letters with two(2) letters occurring twice each

Step-by-step explanation:

Please mark me brainliest

Answer:

  (x, y) = {(-2, -3), (2, 5)}

Step-by-step explanation:

You want to solve the system of equations y=x²+2x-3 and y=2x+1.

The two expressions for y can be equated, and the resulting equation put in standard form.

  x² +2x -3 = 2x +1

  x² -4 = 0 . . . . . . . . . . subtract (2x+1)

  (x -2)(x +2) = 0 . . . . . factor

Values of x that make the factors zero are 2 and -2.

Corresponding values of y are ...

  y = 2x +1 = 2(2) +1 = 5

  y = 2(-2) +1 = -3

Solutions are ...

Answer:

3.4267 × 10^4.

Step-by-step explanation:

When you split the number 34267 into a coefficient and a power of 10 you do get 34267 in exponential form, but there is an indefinite number of possibilities. so basically move the decimal point from in the back of the 7 until u reach the first number which is 3 and count how much step u made to come next to the 3 which is 4 steps so 10^4 HOPE U UNDERSTAND ,AND CAN U give me brainliest for answering please thanks

Answer:

See below.

Step-by-step explanation:

First one is 18 liters.

Second is false.

Third is 24 pints.

1) B.

2) A.

3) A.

4) True.

5) B.

-hope it helps

Answer:

18 liters, false, 24 pints

Step-by-step explanation:

Hope this helps

Answer:

C

Step-by-step explanation:

A 2-column table labeled Probability Distribution C has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.16, 0.39, 0.18, 0.17 is a valid probability distribution. Option C is correct.

A random variable's probability distribution is a collection of values and their probability pairs for that random variable's values. It might be a function, a table, or something else.

A 2-column table labeled Probability Distribution C has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.16, 0.39, 0.18, 0.17 is a valid probability distribution.

The sum of all the probability obtained is less than 1. This show it is a valid probability distribution.

Hence, option C is correct.

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Answer:

k = 1/5

Step-by-step explanation:

k = y/x

Answer:

the answer is m=1/2

Step-by-step explanation:

if my answer right or wrong tell me and plz a like and rate. THANK YOU

Answer:

Step-by-step explanation:

60 minutes per hour
2.82gal *60mins = 169.2gal per hour.
303 gallons / 169.2 gph = about 1.7907 hours

Answer: A

Step-by-step explanation:

For this problem, we would distribute the outer exponent to each exponent inside. Once we distribute, we multiply the exponents together.

\(2^\frac{12}{5} *9^\frac{4}{5}\)

Answer:

When we have exponents (being multiplied) in a parenthesis which also has an exponent, the exponent of the parenthesis gets multiplied by each one of the others. We have to distribute the outer exponent to each exponent inside, like:

\((a^n*b^m)^p = a^{n*p}*b^{m*p}\)

If there are numbers but no exponents (inside), it also happens the same, but as the exponent of the parenthesis gets multiplied by 1, we can just put the exponent, like:

\((a*b)^p=a^p+b^p\)

So, in our case we have what we have explained: two numbers, one of them with an exponent and the other without it in a parenthesis which also has an exponent, so we multiply that exponent by the ones of the numbers inside the parenthesis.

\((2^3*9)^\frac{4}{5}\) = \(2^{3*\frac{4}{5}}*9^\frac{4}{5}\) = \(2^\frac{12}{5}*9^\frac{4}{5}\)

So the answer is \(2^\frac{12}{5}*9^\frac{4}{5}\)

Answer:

11,040 is the answer

Step-by-step explanation:

you just need to subtract

There are 36,960 people were supporting the home team.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

At the college football game there were 48,000 people.

If 77% of the people at the game were supporters for the home team then we need to find how many people were supporting the home team.

x/ 48000 = 77/ 100

here plugging in all our numbers gives us .

x =  (77/ 100)48000

x = 36,960

Therefore, There are 36,960 people were supporting the home team.

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Answer:

A

Step-by-step explanation:

Answer:

.67 secounds

Step-by-step explanation:20/3

Answer:

2p-8

Step-by-step explanation:

Know you're amazing and smart!

Answer:

Step-by-step explanation:

4p+8-2p-16 combine like terms

2p-8

Answer:

15​% off his entire purchase is the better option

Step-by-step explanation:

essentially asking, which is cheaper?

20​% off sale on all pants OR 15​% off his entire purchase

n = original price of pants= $25

s = original price of shirt=$15

---------first option: 20​% off sale on all pants

price of pants with 20% off + price of shirt

= 25(80%)+15

times 80% because you took off 20%; 100-20=80

= 25(0.8)+15

=20+15

= $35

---------second option: 15​% off his entire purchase

(price of pants +price of shirt)*15% off

=(25+15)*(85%)

=(40)*(0.85)

= $34

35>34

second option is cheaper!

Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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Answer:

(B) v=p-10 1/10

Step-by-step explanation:

v does equal p if you take 10.1 away each time that's what the 1/10 is there for

Answer:

\(a_n=2+3n\)

\(\displaystyle S_n=\frac{7n+3n^2}{2}\)

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

\(a_n=a_1+(n-1)r\)

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

The sum of the n terms of an arithmetic sequence is given by:

\(\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n\)

We are given the first two terms of the sequence:

a1=5, a2=8. The common difference is:

r = 8 - 5 = 3

Thus the general term of the sequence is:

\(a_n=5+(n-1)3=5+3n-3=2+3n\)

\(\boxed{a_n=2+3n}\)

The formula for the sum is:

\(\displaystyle S_n=\frac{5+2+3n}{2}\cdot n\)

\(\displaystyle S_n=\frac{7+3n}{2}\cdot n\)

Operating:

\(\boxed{\displaystyle S_n=\frac{7n+3n^2}{2}}\)