One of the skylights on the roof of Bianca’s building is in the shape of the solid below.


A rectangular pyramid has a base of 14 inches by 14 inches and a height of 9 inches. A rectangular prism has a length of 14 inches, width of 14 inches, and height of 2 inches.

What is the total volume of air inside the skylight?
392 inches cubed
588 inches cubed
870 inches cubed
980 inches cubed

Answer:

689 ft

Step-by-step explanation:

Answer:

2.86

Step-by-step explanation:

h=V

πr2=441

π·72≈2.86479

Answer:

7

Step-by-step explanation:

The nth term is supposed to help us find the value of any number in the sequence. All we have to do is substitute n for 7, in this case

So, this is the general term.

= 28 - 3n

Now, to find the 7th term, we simply replace "n" with "7"

= 28 - 3(7)

Since "n" was being multiplied with 3, 7 is also going to be multiplied with 3.

= 23 - 21

= 2

Answer: 88 inches

Step-by-step explanation:

So the radius of the tire is computed by dividing it in half. We know that in one round of the wheel, the wheel moves to a distance equal to the circumference of the wheel. So each time the wheel goes around, the bicycle moves about 88 inches 88 i n c h e s forward.

Answer:

The answer would be=

88 Inches!

Step-by-step explanation:

I hope you do well!

Answer:

It will take her 28 months

Step-by-step explanation:

You first subtract 682.20 and 150.40 to get 576.80. Then you divide 576.80 by 20.60 to get 28.

Answer:

The Answer you are looking for is 28 months.

Answer:

A) Suppose we have an onedimensional situation.

in the 0 of our x-axis, we have a fruit tree, and we want to rest at a distance no bigger than 6 ft of the tree, then all the possible positions of our resting place are:

x ∈(-6ft, 6ft)

we can write this as: IxI < 6ft

b) now we think the opposite situation, we want to rest at least 6ft away from the tree, then we have that:

x ∉  [-6ft, 6ft].

or IxI > 6ft.

So you can see that the difference in those two cases is if we want to be "inside a given range" (for the first case) or "outside a given range" (for the second case).

Step-by-step explanation:

You could do this in your head, but I'm going to type out everything.

Also, you're going to have to just test these out, there is no short cut for this sort of problem.

[tex]2(-2)-4(-3)=2\\-4+12=2\\8\neq 2\\\\2(-3)-4(-2)=2\\-6+8=2\\2=2[/tex]

I didn't do the last ordered pair because we already found one that fit the equation. Also, it wouldn't be a 1:1 equation if that last one was true, so you can rule it out once you see that (-3,-2) is the correct answer.

Answer:

(-3,-2)

Answer:

Question 3. Option B,

Question 4. Option D,

Question 5. Option B

Step-by-step explanation:

Question 3.

If we have a table, we can note that each juice has a proportionality among one another - comparative to the number of servings. If we can figure out this proportionality, we can apply it to the servings of grapefruit juice;

[tex]8 / 16 = 1 / 2,\\4 c / 8c = 1 / 2,\\1 c / 2 c = 1 / 2[/tex]

As we can tell, this " proportion " is 1 to 2. Thus, the amount of grapefruit for 16 servings is 2 * 3 = 6c - Option B

Question 4.

The distance Carlos biked is 24 miles, the total distance he covered is 30 miles;

[tex]24 : 30 = 4 : 5,\\4 to 5,\\4 : 5,\\4 / 5\\\\Conclusion - Option D[/tex]

Question 5.

If 1 / 6 of the fruits are oranges, there must be 6 times of the other fruit. Thus, the solution is Option B

Answer:

Question 3: 6c

Question 4:  4 to 5, 4:5, 4/5

Carlos biked 24 miles and ran 6 miles. The total distance is equal to 30 miles.

The question is: How much of the total distance he biked?

[tex]$\frac{24}{30}=\frac{4}{5} $[/tex]

Question 5: 3 oranges and 15 apples

[tex]$\frac{1}{6} $[/tex]  of the fruits are oranges.

It means that approximately [tex]16.6\%[/tex] of the fruits are oranges. If there were 6 fruits, 1 is orange and 5 are apples, therefore B is wrong.

If you take the options, only the first one is correct.

Answer:

-5, -2.2, -2, 2, 2.2, 5

Step-by-step explanation:

-5

-2.2

-2

2

2.2

5

Answer:

-5

-2.2

-2

2

2.2

5

Answer:

x-.6=1.5

Step-by-step explanation:

4-1.5=2.5 2.5/.6 is approximately 4

Answer:

844 is the ans

Step-by-step explanation:

512+4+1 -7 +343+9= 844

Answer: 844

Step-by-step explanation:

The domain represents interval notation is (–∞, 7) U (7, ∞) which is the correct answer would be an option (A)

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

For all other x-values, the graph appears to be defined. Thus, with the exception of x = 7, all real numbers should fall under the function's domain. This is what that would look like in interval notation:

It is possible to write the interval (–∞, ∞). as the set of all real numbers. Keep in mind that infinity∞ or -∞  is not a real number. Both ends are shown to be excluded from the interval by the rounded brackets.

All real numbers less than but not equal to 7 are contained in the set (-∞,7). (both ends are excluded.) The collection of every real number greater than but not equal to is.

All real numbers less than and higher than are combined to form the set of all real numbers that are not equal to 7. The union operator joins two intervals together.

Hence, the domain represents interval notation is (–∞, 7) U (7, ∞)

Learn more about the domain and the range here:

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Answer:

you have the right answer

Step-by-step explanation:

you can check by multiplying 27 and 12. then multiply 20.25 with 16 and both times you will get 324

Answer:

I am sure you're answer is correct!

Step-by-step explanation:

:)

Answer:

y=x-5

Step-by-step explanation:

transformations from parent function:

down 5 units

Answer:

y=x-5

Step-by-step explanation:

slope=rise/run=5/5=1

y -intercept=-5

y=x-5

Answer:

There are straight, zero, right, obtuse,acute, complementary, supplementary, vertical

Step-by-step explanation:

These are a few I know of

Answer:

Volume of Box / volume of tin = number of tins required

Volume of box =50*40*20= 40000 cu.cm

Volume of Tin = pi*r^2*h=pi*4^2*15 = 754 cu.cm

4000/754= 53 tins (rounded off)

Step-by-step explanation: i'm sorry if this is a bit complicated but i hope it answers your question. Take care.

Answer:

1

Step-by-step explanation:

-3a+4 =7

-4. _4

-3a=3

divide by -3 on both sides

a=-1

3+4=7

Answer:

a= [tex]-3\frac{2}{3}[/tex] or ≈ -3.66

Step-by-step explanation:

-(3a+4)=7

-3a-4=7

Add 4 to both sides

-3a=11

Multiply both sides by -1

3a= -11

Divide both sides by 3

a= [tex]-3\frac{2}{3}[/tex]

Answer:

1.

Step-by-step explanation:

By the order of operations, multiplication goes before addition. We got left to right.

As the entire resultant expression of the first two operators is multiplied by 0, we are left with 0 + 1.

0 + 1 = 1.

I hope this helps!

Answer:

x=root 70

Step-by-step explanation:

We have three triangles in this picture. The big triangle and 2 small triangles. They are all similar triangles.

Thus, because they are similar we have (7+3)/x=x/7

That gives us 10/x=x/7.

Cross products gives us x^2=70, so x=root 70

Answer:

A #1 ( x+2)2 (x-2)2

Step-by-step explanation:

it is the only one that could possibly work

Answer:

Step-by-step explanation:

Answer:

(3.) x = 45

Step-by-step explanation:

Because the lines are parallel and cut by the same line, the angles within are equal as well.

Which means that...

Angle GE = Angle EFD

Therefore (2x-30) = (x + 15)

2x - 30 = x + 15

    +30       +30    (add 30 to both sides to get rid of the -30)

2x = x + 45

-x    -x                   (subtract x from both sides to get rid of the single positive x)

x = 45

Answer:

x =3.9

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 =c^2

x^2 + (5x)^2 = 20 ^2

x^2 + 25x^2 = 400

Combine like terms

26 x^2 = 400

Divide each side by 26

x^2 = 400/26

Take the square root of each side

sqrt(x^2) = sqrt(400/26)

x = sqrt(400/26)

x =3.922322703

Rounding to the nearest tenth

x =3.9

Answer:

3.9

Step-by-step explanation:

:)

Answer:

D, "I will pay $25 for this book."

Step-by-step explanation

Answer:

[tex]\mathrm{Option \: C.}[/tex]

[tex]x \ne-3, \:4[/tex]

Step-by-step explanation:

[tex]F\left(x\right)=\frac{\left(x-4\right)\left(x+2\right)}{\left(x+3\right)\left(x-4\right)}[/tex]

[tex]\left(x+3\right)\left(x-4\right)=0[/tex]

[tex]x+3=0\\x+3-3=0-3\\x=-3[/tex]

[tex]x-4=0\\x-4+4=0+4\\x=4[/tex]

Answer:

Step-by-step explanation:

26x25x24x23x22x21x10x9=30,891,577,600

=Thirty billion, eight hundred ninety-one million, five hundred seventy-seven thousand, six hundred.

the answer was kind of in the question btw :)

Answer:

the answer is  -x^2 + 2x - 6

Step-by-step explanation:

The required probability of the chicks hatched on peeper is 0.45% none of the options is correct.

Given that,

Total number of hatched chicks = 175
At least 80 are female,

Probability can be defined as the ratio of favorable outcomes to the total number of events.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Since in the question
total chicks(total sample) = 175
probability for at least 80 chicks will be female.
Probability  = number of female chicks / total number of chiks
                 = 80 /175
                 =  0.45 or 45%

Thus, The required probability of the chicks hatched on peeper is 0.45% none of the options is correct.

Learn more about probability here:

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thats not even an answer

Answer:

-11

Step-by-step explanation:

logb ( a^5 c^2 / d^6)

Splitting these into log (xy/z) = log x + log y  -  logz

logb ( a^5)  +logb ( c^2)  - logb( d^6)

We also know that log x^y = y log x

5logb ( a)  +2logb ( c)  - 6 logb( d)

Given logb ( a)=3  logb ( c) =2   logb( d)=5

5 * 3 + 2* 2 - 6* 5

15 +4 -30

19 - 30

-11

Answer: -11

Step-by-step explanation:

just got it right on ap3x