Find the area of the rectangle

Answer:

[tex]Volume = x^3 +3x^2 -16x +12[/tex]

Step-by-step explanation:

Given [missing from the question].

The dimensions are:

Length =(x + 6), Width = (x - 2) and Height = (x -1)

Required

Represent the volume as a polynomial

Volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

So:

[tex]Volume = (x + 6) * (x - 2) * (x - 1)[/tex]

Expand

[tex]Volume = (x + 6) * (x^2 -2x -x +2)[/tex]

[tex]Volume = (x + 6) * (x^2 -3x +2)[/tex]

Expand

[tex]Volume = x^3 -3x^2 +2x +6x^2-18x +12[/tex]

Collect like terms

[tex]Volume = x^3 -3x^2+6x^2 +2x -18x +12[/tex]

[tex]Volume = x^3 +3x^2 -16x +12[/tex]

Answer: B

About half of her students plan to take time off this summer.

Step-by-step explanation:

The generalization that can be made by the piano teacher is about half of her students plan to take time off this summer.

A survey is when a particular group of people are asked about their preferences or opinion on a particular subject matter. The piano teacher asked students from the classes on Monday through to Saturday if they would take time off.

The result was that 50% of the students would take time off. Thus, it can be generalized that about half of her students plan to take time off this summer.

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Answer:

x = 12.4

Step-by-step explanation:

[tex] \tan(54) = \frac{x}{9} \\ x = \tan(54) \times 9 \\ x = 12.3874 \\ to \: the \: nearest \: tenth \\ x = 12.4[/tex]

I hope that is useful for you

Answer:

The  equation that shows the total number of shoes and soxes he bought is x+y=5.

Step-by-step explanation:

Given that statement says that Andy bought total of 5 pairs of shoes and soxes this means that the equation would indicate that the sum of the number of pairs of shoes plus the number of pairs of soxes is equal to 5, which can be expressed as:

x+y=5

The other answers are not right because the numbers of pairs of shoes and soxes are multiplied by another number and the statement indicates that the pairs of shoes and soxes is equal to 5.

Answer:

O that easy just flip the sign for example - becomes + becomes-

this is an is simple trick I learn hope it helps you.

Step-by-step explanation:

so k goes to -3 j goes to -2

Answer:

it is B

Step-by-step explanation:

he is putting in by the 3/5

Answer:

C.

Step-by-step explanation:

Why its C...

You can tell that on the top it say that the total is 15 so it can not be a. So now our answer choices are B, C, ad D.

Now it says that there are 3/5 highlighted but since the rest say 3/5 we can not eliminate yet.

Next we would multiply 3 x 3 to get 9 for how many dollars there are. Cross out B.

Between C and D, C is the most reasonable answer because it says how much did he put in the bank while the other one (D) says how much did he spend?

So it would be C

Hope this helps :)

Answer:

it issssss sass ccccccccccccccccccc

Answer:

Step-by-step explanation:

x=1.6w and 2w+2x=34.

Simply substitute for x in the perimeter equation, and solve for w. Now compute x.

The new girth is 22 inches; the reference girth is 20 inches. The weight is proportional to the girth, so the reference weight will get multiplied by 22/20 = 11/10.

Step-by-step explanation:

Answer:

[tex]h=8.48\ \text{inches}[/tex]

Step-by-step explanation:

Given that,

Radius of cone, r = 7 inches

Slant height of the cone, l = 11 inches

We need to find the height of the cone. Let the height be h. Using trigonometry to find it as follows :

[tex]h^2+r^2=l^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{11^2-7^2}\\\\h=8.48\ \text{inches}[/tex]

So, the height of the cone is equal to [tex]8.48\ \text{inches}[/tex].

These points can be described the following double inequality:  -3≤x≤13.

Inequality is a mathematical expression that does not present equality between both sides. It is represented by symbols: <, ≤, > and ≥.

When the variable x is between the both extremes, the inequality will be called double inequality. Therefore, the double inequality can be written in the form below .

As the interval is represented by a closed dot, your interval inequality must be represented by signs ≤ or ≥.

Thus, the points of this question can be described as: -3≤x≤13.

Read more about the double inequality here:

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Answer:

the answer f (x)=sinx

Step-by-step explanation:

Answer:

u will have a 100 meaning a A+

Step-by-step explanation:

Answer:

12.5 !!!!

Step-by-step explanation:

Answer:

x = 97

Step-by-step explanation:

a^2 + b^2 = c^2

(65^2) + (72^2) = c^2

4,225 + 5,184 = c^2

9,409 = c^2

√9,409 = 97 = c^2

97 = c

97 = x

Answer:

the answer is 58°

Step-by-step explanation:

90 - 32 = 58

Step-by-step explanation:

b is the anwser or 1005 so there u go

the distance between balloon A and balloon B IS 1005 Feet

Height is the measurement of an object in the vertical direction and distance is the measurement of an object from a particular point in the horizontal direction.

According to the question,

Angle ADC = 60  degree

Angle BDE = 82 degree

Ac = 1400 Feet

In right angle triangle ACD,

Tan(x)= AC/CD

Tan(60) = 1400/CD

CD = 1400/[tex]\sqrt{3}[/tex]

CD = 808.3

In triangle BDE,

Tan(y) = BE/DE

Tan(82) =  1400/DE   { Tan(82) = 7.115 }

DE = 1400/7.115

DE = 196.8

the distance between balloon A and balloon B =CD + DE

                                                                               = 808.3 + 196.8

                                                                               =   1005 Feet

Hence, the distance between balloon A and balloon b is 1005 feet

To learn more about height and distance from here,

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Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You are removing 20 dollars a year.

Answer:

$0.79

Step-by-step explanation:

Answer:

$0.79

Step-by-step explanation:

There are two ways to solve this. You can either set it up as a proportion or just divide 8 by $6.32. Be careful if you just divide, however, that you don't divide it the wrong way. 8 divided by 6.32 will give you a different answer than 6.32 divided by 8. Setting up a proportion may be harder and longer, but it is definitely the safer way to go.

Proportion:       [tex]\frac{6.32}{8} = \frac{x}{1}[/tex]          6.32 = 8x     6.32 ÷ 8 = 0.79      x = 0.79

79 cents is your answer.

I hope this helps you understand a bit better. Please let me know if you need any more help. I'm happy to help any time! :) Have a great day!

Answer:

75.36

Step-by-step explanation:

r = radius

pi = 3.14

You know the diameter (2*r) is equal to 24 feet

using the formula for diameter you get 2r = 24

now, you can either solve for r (radius) and plug radius into the formula for circumference OR you can use the 2*r value of 24 feet and plug that into the formula for circumference

if you solved for r directly, you would get r = 12

- then you plug r into the circumerference formula 2*pi*r (where pi  3.14) and you would get 75.36

if you used the diameter value of 2*r, all you would have to do is multiply the given diameter value by pi (3.14) and you would get 75.36

UNIT: feet

NOTE

- you can use the diameter value and simply multiply that by pi because the formula for diameter is 2*r and the formula for circumference is 2*r*pi  

I hope this helped :)  

Answer:

i believe it is A

Step-by-step explanation:

Answer:

The answer is 50% increase. Hope this helped!

Step-by-step explanation:

Answer:10

Step-by-step explanation:

In fraction,

(1/100)^(-1/2)

Equivalent to 1/((1/100)^(1/2))

Power 1/2 is basically square root

So we have 1/(1/10) after applying square root to 1/100

so final step

1 divide (1/10) = 10

Answer:

Uh, I am not positively sure if this is wrong or no so if it is I'm honestly sorry...

I'm sure it is right but I have a feeling that it's wrong...

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases, then solve for  x  

Exact Form:  x  =  1 /2

Decimal Form:  x  =  0.5

( Also please DON'T come for me if it is wrong)

Answer:

0.214285714

Step-by-step explanation:

when you divide the numbers, you get 0.214285714.

36/168 = 0.214285714

Answer:

3/14

Step-by-step explanation:

first starting from 36/168, you can divide both by 3, which would be 12/56. then you can divide both numbers by 4, which would become 3/14, which is the in the most simplified form.

Answer:

Step-by-step explanation:

Opposite angles are supplementary:

Find x:

Find D:

Find B: