f(x) = 7x² + 21x - 70
factor

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:

x + 5 = 27

x = 22

30 = x - 8

x = 38

x - 14 = 10

x = 24

Step-by-step explanation:

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:

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

Answer:

b(2,-2)

Step-by-step explanation:

x= 2 and y=-2

let me know if you want further eplanation

Answer:

3.46

Step-by-step explanation:

Answer:

i have the same question and i think

A. 26.88

B. 80.68

Step-by-step explanation:

Answer:

station A

Step-by-step explanation:

Given data

We are told that she has  $85 and she wants to fill only her tank

station A

charges $2.67 per gallon

12 gallons will cost

=12*2.67

=$32.04

station B

charges $2.60 per gallon

12 gallons will cost

=12*2.60

=$31.2

station C

charges $2.62 per gallon

12 gallons will cost

=12*2.62

=$31.44

The cheapest is station A

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:

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:

g(x) = f(x–3) + 2

Step-by-step explanation:

If g(x) is just 3 spaces to the right and 2 spaces up from f(x), then g(x) = f(x–3) + 2

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:

b

j

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

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.

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:

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

Step-by-step explanation:

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:

The amount is $418.35 and the interest is $98.35

Step-by-step explanation:

Answer:

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

(3x³)³ = 27x⁹

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

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:

11

Step-by-step explanation:

14/14=154/14

g=11

Answer:

B. 11

Step-by-step explanation:

14g = 154

[given]

14g ÷ 14 = 154 ÷ 14

[division property of equality, divide both sides by 14 to cancel out the coefficient of 14 in 14g to get g]

g = 154 ÷ 14

[division property, how many times does 14 fit in 154?]

g = 11

________

11 is the solution because when 11 is substituted or plugged in for the variable g, it is multiplied by 14 to make 154.

g = 11 → 14g = 154

14(11) = 154

154 = 154 ✓

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!

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:

1365 + 1/3 or

1365.3333

Step-by-step explanation:

64^2/3=

4096/3=

1365 + 1/3

Answer:

1584 inches cubed

Step-by-step explanation:

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:

[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.