How many planes are shown in the figure?

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:

u will have a 100 meaning a A+

Step-by-step explanation:

Answer: -15

Step-by-step explanation:

f(-8) is the value of y / f(x) when x = -8 in the function f(x)

f(-8) = -5

g(4) is the value of y / f(x) when x = 4 in the function g(x)

g(4) = 5

-1 * f(-8) - 4 * g(4)

Substitute -5 for f(-8) and 5 for g(4)

-1 * -5 - 4 * 5 (evaluate, note: remember order of operations)

5 - 4 * 5

5 - 20

-15

ANSWER:

= 158 square inches

STEP BY STEP:

okay! so basically I like to ignore the net figure (just my personal opinion)

so we know that the rectangular prism has six sides (one top, one bottom, one front, one back, and two on each side)

so using that information, we can solve for the surface area!

FRONT AND BACK AREA:

- to solve for this area, we are going to take the 8" and multiply it by 5" to find the surface area of the front and the back panels

8*5 = 40 BUT WE HAVE TWO PANELS WITH THIS AREA

40*2 = 80

TOP AND BOTTOM AREA:

- to solve for this area, we are going to take 3" and multiply it by 8" to find the surface area of the top and bottom panels

3*8 = 24 BUT WE HAVE TWO PANELS WITH THIS AREA

24*2 = 48

SIDE AREA:

- to solve for this area, we are going to take 3" and multiply it by 5" to find the surface area of both the left and right sides

3*5 = 15 BUT WE HAVE TWO PANELS WITH THIS AREA

15*2 = 30

So now we have all of our areas and we will just add them together!

80+48+30

= 158 square inches

I hope this helped :)

Answer:

158

Step-by-step explanation:

its the right answer trust me I just can't be asked to explain it

5

Step-by-step explanation:

5 because if you need them between and they need to be smaller it would be 5

Answer:

The length must be less than 20, and greater than 6.

6 < L < 20

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.

Answer:

12.5 !!!!

Step-by-step explanation:

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:

https://brainly.com/question/13707794

Answer: y-int is 0, 250, slope is -1/3

Step-by-step explanation:

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:

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:

X=9

Step-by-step explanation:

Answer:

Question 1:  70 mins

Question 2: R

Step-by-step explanation:

Answer:

the answer is 58°

Step-by-step explanation:

90 - 32 = 58

Answer:

it issssss sass ccccccccccccccccccc

The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.

The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.

Here is a procedure, first take a derivative

[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]

Then compute critical points of a derivative

[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].

Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].

You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.

The answer is [tex]-\sqrt{2}[/tex].

Hope this helps.

9514 1404 393

Answer:

  yes, it is a function

Step-by-step explanation:

A graph represents a functional relationship if no vertical line intersects the graph in more than one point. A horizontal line passes this "vertical line test," so represents a function.

Answer:

Step-by-step explanation:

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: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:91 years

Step-by-step explanation:

Answer:

s=5c+20

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Opposite angles are supplementary:

Find x:

Find D:

Find B:

Answer:

2/3+2/3=4/3 or 1 1/3

Step-by-step explanation:

I figured it out!!

it should be greater than. the reasoning for this is if you equally split a rectangle into 3 pieces and then also split the same sized rectangle into equal pieces then which pieces would be bigger? the Rectanhle that is split into 3! this is because you have less pieces to split the rectangle into so the less you have too split the rectangle to larger the pieces are!!

Answer:

2/3+2/3 is greater than 1 1/4, so Edward does not have enough oil

Step-by-step explanation:

2/3+2/3=4/3, or 1 1/3

So now it's is 1 1/3 greater than or less than 1 1/4, which is just a matter of if 1/3 is greater than 1/4. 1/3 is 0.33 repeating, and 1/4 is 0.25, so 1/3 is greater than 1/4

1 1/4 is the amount of oil he has, and 1 1/3 is the amount required, which is more than he has so therefore he can't make 2 batches

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.

To learn more about probability, please check: brainly.com/question/11234923

#SPJ2

Answer:

69

Step-by-step explanation:

5a+12b+30c

5(3)+12(2)+30(1)

15+24+30

39+30

69

Hoped this helps!