Find the volume of the rectangular prism.
Write your answer in simplest form.
3/5m
4/9m
2/5 m

Given:

[tex]x = 1, y = 7,z = 15[/tex]

A number is added to x, y, and z yields consecutive terms of a geometric sequence.

To find:

The number which is added to  x, y, and z, then find the first three terms in the geometric sequence.

Solution:

Let the unknown number be k.

After adding k to x, y, and z, we get

[tex]x = 1+k, y = 7+k,z = 15+k[/tex]

These are the consecutive terms of a geometric sequence. So,

[tex](7+k)^2=(1+k)(15+k)[/tex]

[tex]49+14k+k^2=15+k+15k+k^2[/tex]

[tex]49+14k=15+16k[/tex]

Isolate the variable terms.

[tex]49-15=16k-14k[/tex]

[tex]34=2k[/tex]

[tex]\dfrac{34}{2}=k[/tex]

[tex]17=k[/tex]

The unknown number is 17.

Now,

[tex]x=1+k[/tex]

[tex]x=1+17[/tex]

[tex]x=18[/tex]

Similarly,

[tex]y=7+k[/tex]

[tex]y=7+17[/tex]

[tex]y=24[/tex]

And

[tex]z=15+k[/tex]

[tex]z=15+17[/tex]

[tex]z=32[/tex]

Therefore, the three terms in the geometric sequence are 18, 24, 32.

Answer:

Pretty sure its A and B

Step-by-step explanation:

Slope is -6/5, so that leaves just A B and E

Plugged it in, only A and B were correct

Answer:

5

Step-by-step explanation:

Answers:

1, 2, 3, 4, 5, and 6

Answer:

Option 3 or Option 4.

Step-by-step explanation:

I have this doubt because actually, a rhombus with a right angle (one) is not necessarily a square. Some rhombuses have one right angle and are still not squares. Now, if the four angles are right, it is a square, but this only says one.

On other hand, a parallelogram with congruent diagonals isn't a square necessarily either. Rectangles have congruent diagonals and are parallelograms.

In case you only can answer with one, I'll say is option 3, hope it helps!

Answer:

-6

Step-by-step explanation:

g(-4) here x = -4

So, we have to take g(x) = x - 2

g(-4) = -4 -2 = - 6

g(1) , here x = 1 ,

So, we have to take g(a)= -x +1

g(-1) = -1 + 1 = 0

g(-4) + g(-1) = -6 +0 = -6

Answer:

Step 1

Step-by-step explanation:

7 should have been multiplied by 4.5

Answer:

35

Step-by-step explanation:

35 is exactly 152 but since its asking for greater then you're right it is 36.

But since it says '>' it means not equal to so it would be:

x > 35

or

x ≥ 36

The answers are 4 and 8.

Because:

x^2 - 12x + 32 =

(x - 4)(x - 8)

x - 4 = 0

   +4    +4

x = 4

x - 8 = 0

  +8    +8

x = 8

You calculate wall-length like this.

Measure the length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length. Subtract areas that will not be covered.

Answer:

99437

Step-by-step explanation:

Use the sphere formula 4pi r^2.

By the way, can you follow me on Brainly?

Thanks!

Answer:

[tex]1\frac{87}{100}[/tex]

Step-by-step explanation:

A decimal is another way of representing a fraction such that the denominator of the fraction is a power of (10).

In the number (1.87), the number goes two places behind the decimal point, which means that the denominator of the fraction is (100), and the numerator is the given number excluding the decimal point.

[tex]\frac{187}{100}[/tex]

Simplify, write as a mixed number,

[tex]1\frac{87}{100}[/tex]

the constant / the answer is 4

Answer:

4

Step-by-step explanation:

the constant is a number that never changes

Answer:

it's A, multiply and see, you get the same answer as in the question

Step-by-step explanation:

Answer:

A

E

11.C

12.B

13.E

14.A

15.D

Step-by-step explanation:

Good luck ^^

Answer:

p≤11

that's all i got from the delta math thing

Answer:

233

Step-by-step explanation:

Look at the tenths place. It is above 5 so you round to 233,

Answer:

233

Step-by-step explanation:

Simple, 7 is closer to 10 than 0, round up to 233.

Answer:

Step-by-step explanation:

46 in = 3.83333foot inches is 552 PLEASE HELP!!

14pt = 7 qt but i need the work

The US liquid quart is a unit of fluid volume equal to one fourth of a gallon, two pints, or four cups. The liquid quart should not be confused with the dry quart (US) or the imperial quart, which are different units.

The quart is a US customary unit of volume. Quarts can be abbreviated as qt; for example, 1 quart can be written as 1 qt.

Answer:

here you go!!!

Step-by-step explanation:

the other answer might not fit your's

Step-by-step explanation:

so here's what I got

Answer:

distance is 5 units

Step-by-step explanation:

plug in values

Answer:

b

Step-by-step explanation:

The average rate of change in the value of the account for the first 3 years is,  $3.15/year. So Option C  is correct.

Rate is a ratio of change in one quantity w.r.t. change in another quantity. The net change in one quantity is written as, Δy and the net change in another quantity is written as, Δx.

So formula for the rate is,

m = change in one quantity/change in another quantity = Δy/Δx

The average rate of change in the value of the account for the first 3 years can be calculated as follows:

Let t = 0 be the time when the account is opened,

and t = 3 be the end of the third year.

The value of the account at t = 0 is V(0) = 30,

and the value of the account at t = 3 is

V(3) = 30(1.05)³

The average rate of change in the value of the account over the first 3 years is given by the formula:

⇒ (V(3) - V(0)) / (3 - 0)

⇒ (30(1.05)³ - 30) / 3

⇒  $3.15/year

Hence, the average rate of change in the value of the account over the first 3 years is approximately $3.15/year

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Answer:

[tex]2x+ \frac{156}{5}[/tex]

Step-by-step explanation

simplify step-by-step.

2(x+7)−(−18+

4

5

)

Distribute the Negative Sign:

=2(x+7)+−1(−18+

4

5

)

=2(x+7)+(−1)(−18)+−1(

4

5

)

=2(x+7)+18+

−4

5

Distribute:

=(2)(x)+(2)(7)+18+

−4

5

=2x+14+18+

−4

5

Combine Like Terms:

=2x+14+18+

−4

5

=(2x)+(14+18+

−4

5

)

=2x+ [tex]\frac{156}{5}[/tex]

Answer:

the answer is 221.1

Step-by-step explanation:

The volume of the rectangular prism is 221.1 in³.

The volume of any object defined the capacity of it, how much it can hold something is called its volume.

Given is rectangular prism, we need to find the volume of the same,

So, we know that the volume of a rectangular prism is the product of its dimensions.

V = length × width × height.

[tex]V = 16\frac{3}{4} \times 4\frac{2}{5} \times 3[/tex]

[tex]V = \frac{67}{4} \times \frac{22}{5} \times 3[/tex]

V = 4422/20

V = 221.1

Hence, the volume of the rectangular prism is 221.1 in³.

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Answer:

9

Step-by-step explanation:

Answer:

s = 23 - e

Step-by-step explanation:

In this expression, s is equal to the amount of extra credit Sofia earns. She earns e less points than the 23 points Zeke earns.

So, s (Sofia's points) = 23 (Zeke's points) - e (the difference in points).

The expression is s = 23 - e.

Good luck ^^