Complete the table for the given rule.
Rule: y = 5x

Answer:

(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism is given by:

[tex]V_R = A_{b}*h[/tex]

In which [tex]A_b[/tex] is the base area and h is the height.

Volume of a pyramid:

[tex]V_P = \frac{A_{b}*h}{3}[/tex]

Relation:

From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.

A rectangular prism has a volume of 198 cm³

So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.

The correct answer is given by option B.

Answer: D. x=9√3; y=18

Step-by-step explanation:

This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)

-----------------------------------------------------------------------------------------------------

X value

- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.

- Using the rules, the shortest side is x, then the second short side is x√3

- Substitute value in= x√3=(9)√3=9√3

Y value

- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.

- Using the rules, the shortest side is x, then the longest side is 2x

- Substitute value in= 2x=2(9)=18

Hope this helps!! :)

Please let me know if you have any questions

Answer: 16 quarts.

Step-by-step explanation:

1 quart = 1/4 gallon.

4 quarts = 1 gallon.

If you have 4 gallons, then you need to multiply 4 by 4, because every gallon is equal to 4 quarts.

4 x 4 = 16.

Therfore, there are 16 quarts in 4 gallons.

Answer:

1/64 = 0.015625

Step-by-step explanation:

(1/4)^3

Calculate 1/4 to the power of 3 and get 1/64

1/64

Answer:

The amount is $418.35 and the interest is $98.35

Step-by-step explanation:

The correct answer is 2.8 liters

Explanation:

The volume of the water in the bottle can be calculated by subtracting 3.5 liters from the volume of water the pail can hold (6.3 liters) because the volume in the bottle is 3.5 liters less than the one in the pail. Below, you can find the process.

volume in the pail - 3.5 liters = volume in the bottle

6.3 liters - 3.5 liters = 2.8 liters

This means the volume of water in the bottle is 2.8 liters. Also, you can double-check this answer by adding the volume in the bottle and the 3.5 liters (2.8 + 3.5 = 6.3).

Answer:

[tex]y=- \frac{5}{4}x-4[/tex]

Step-by-step explanation:

1) if the A has coordinates (-4;1) and B - (-8;6), then it is possible to write the formula of the required line:

[tex]\frac{X-X_A}{X_A-X_B} =\frac{Y-Y_A}{Y_B-Y_A};[/tex]

2) if to substitute the coordinates given in the condition, then:

[tex]\frac{X+4}{-8+4} =\frac{Y-1}{6-1};[/tex]

3) finally, the required equation of the line is:

-4y=5x+16; ⇔y= -5/4 x-4 (slope-intersection form)

PS. note, the suggested solution is not the only one.

Answer:

Step-by-step explanation:

if the question mean the white circle the ans is 3.14

if the question mean the shaded circle the ans is 129.9

if the question mean both shaded and white circle the ans is 133.04

The required simplified value of the given expression is x = 22.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
3/4x=33/2
x = 33 / 2 × 4 / 3

x = 11 × 2
x = 22

Thus, the required simplified value of the given expression is x = 22.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

3.46

Step-by-step explanation:

Answer:

0 ZER0

Step-by-step explanation:

There is no slope it would be a straight line across the x axis

Answer:

-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-9)/(5-2)

m=-6/3

simplify

m=-2

Answer:

60 miles

Step-by-step explanation:

Let us assume the distance between his home and place of appointment be x and t would be time taken at 40 mph

As we know that

Distance = speed × time

So,

x = 40t ............(1)

As he left the house 15 minutes late and also drove his car at 50 mph and arrive 3 minutes early

So,

15 minutes = 15 ÷ 60 = 0.25 hour

3 minutes = 3 ÷ 60 = 0.05 hour

Now the actual time taken is

= t - 0.25 - 0.05

=  t - 0.30

x = 50(t - 0.30)

x = 50t - 15.............(2)

Now

40t = 50t - 15

10t = 26

t = 3 ÷ 2 hour

Now

x = 40 × 3 ÷ 2

= 60 miles

Answer:

1365 + 1/3 or

1365.3333

Step-by-step explanation:

64^2/3=

4096/3=

1365 + 1/3

Answer:

im guessing 100 milligrams of vitamin c

Step-by-step explanation:

Answer:

100 mg

Step-by-step explanation:

you could think of it like this: if you divide 200mg and 200% both by two you get 100mg for 100%

Answer:

6 inches high

Step-by-step explanation:

Answer: I can help you....

Step-by-step explanation:

Just copy and pase the question into the go og le sea rc h e ng in e, theres like a 50% chance u will find a similar question just with the words changed up or u will find the exact one. Hope this will help you!

Answer:

24 CDs

Step-by-step explanation:

if he dropped half of his CDs then the other half is in the equation. 12×12=24 the 6 is just there to throw you off...

if I get it wrong my bad its 2 am

Answer:

Jason starts with 18 CDs

Step-by-step explanation:

12 x 2 = 24

24 - 6 = 18

i removed my answer because it was wrong look at the other peoples answers

Answer: 213/40 or 5.325

Step-by-step explanation:

We can find common denominators for 8 1/5 and 2 7/8.

The Lowest Common Denominator for 8 1/5 and 2 7/8 is 40.

8 1/5 = 41/5 = 328/40.

2 7/8 = 23/8 = 115/40.

Now we can subtract.

328/40 - 115/40 = 213/40.

Therefore, the answer is 213/40 or 5 13/40.

Answer:

b(2,-2)

Step-by-step explanation:

x= 2 and y=-2

let me know if you want further eplanation

Answer:

1584 inches cubed

Step-by-step explanation:

Answer:

This can't really be factored, but it can be expanded slightly.

(3x³)³ = 27x⁹

Answer:

Step-by-step explanation:

x2 - x - 12

x2 - 4x + 3x - 12

x(x - 4) +3(x - 4)

(x - 4) (x + 3) are the factors

Answer:

x + 5 = 27

x = 22

30 = x - 8

x = 38

x - 14 = 10

x = 24

Step-by-step explanation:

Answer:

i have the same question and i think

A. 26.88

B. 80.68

Step-by-step explanation:

Answer:

b

j

................................

Answer:

[tex]V=3141.59\ \text{feet}^3[/tex]

Step-by-step explanation:

Given that,

The height of the pile, h = 25 feet

The radius of the pile, [tex]r=1.2\times 10^2\ ft[/tex]

We need to find the volume of the pile of cone. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \times (1.2\times 10^2)\times 25\\\\V=3141.59\ \text{feet}^3[/tex]

So, the required volume of the pile is [tex]3141.59\ \text{feet}^3[/tex].

Answer:

I just took the test and the correct answer is -6 is not in the domain of f g

Step-by-step explanation:

Answer:

± 15 cm  

Step-by-step explanation:

In the first case, since the measurement is 1 cm too long or too short, the error is ± 1 cm.

In the second case, the uncertainty or error is also ± 1 cm.

Now, since there are 15 cars, and there is an error of ± 1 cm in each measurement, by the error formula the total error in the sum of both cases is 15 × ±1 cm = ± 15 cm  

So, the total error in both cases is ± 15 cm.