MATHEMATICS HIGH SCHOOL

What is the volume of a regular pyramid having a base area of 24 square inches and height of 6 inches? A) 48 in3
B) 60 in3
C) 144 in3
D) 120 in3

Answers

Answer 1
Answer:

Answer:

A) 48 in3

Step-by-step explanation:

The volume of a regular pyramid having a base area of 24 square inches and height of 6 inches is 48 inches.

Formula: V=ABh/3

V=ABh

3=24·6

3=48in³


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HIGH SCHOOL

Help please with this question Let f(x)=x^2-6x-27. enter the x-intercepts of the quadratic function in the boxes.

Answers

Step-by-step explanation:

0 = x² - 6x - 27

a = 1, b = -6, c = -27  Factor using AC method.

ac = (1)(-27) = -27

Factors of -27 that add up to -6 are -9 and 3.

Therefore:

0 = (x - 9) (x + 3)

x = -3, x = 9

The x-intercepts are (-3, 0) and (9, 0).

MIDDLE SCHOOL

What is 10 plus 10 minus 4 and 8 divided by the total?

Answers

Answer:

2

Step-by-step explanation:

(10+10-4)÷8 is your expression.

10+10=20

20-4=16

16/8=2

( 10 + 10 - 4 ) : 8 =

= ( 20 - 4 ) : 8

= 16 : 8

= 2

MIDDLE SCHOOL

What’s the correct way to read 43.106

Answers

Answer:

The correct way to read 43.106 would be forty-three and one hundred 6 hundredths.

Step-by-step explanation:

COLLEGE

I was calculating a problem and my calculator displayed 4.464E-5. How do I calculate this?

Answers

Answer:  0.00004464

Step-by-step explanation:

4.464E-5 on a calculator is 4.464 × 10⁻⁵.

To convert this into a number without an exponent, move the decimal 5 places to the left (the negative sign in the exponent directs you to the left).

= 0.00004464

Answer:

   4.464×10⁻⁵ = 0.00004464

Step-by-step explanation:

Many calculators use the E notation to signify ×10^. They tend to do this automatically when the number is too large or small to display properly in the number of digits available. Your number is ...

  4.464E-5 = 4.464×10^-5

which is a number in scientific notation. It means the most significant digit of your number falls in the hundred-thousandths place (5 places to the right of the decimal point).

COLLEGE

A summer camp has divided its campers into 8 groups of 9 campers.How many campers are at the summer camp?

Answers

8 groups times 9 campers equals 72 total campers. (8 x 9 = 72)
72 because 8×9=72 and if you flip that around it is 72÷8=9.
MIDDLE SCHOOL

If 14y - 4 = 24y + 26 , then 12y =

Answers

Solutions 

To solve the equation we have to isolate 12y


14y - 4 = 24y + 26
-4 - 26 = 24y - 14y
-30 = 10y
10y = -30
y =- -30/10
y = -3
12y =12(-3)
12y = -36
HIGH SCHOOL

The length of a rectangle is three times its width. The perimeter of the rectangle is at most 112cm. Which inequality models the relationship between the width and the perimeter of the rectangle.

Answers

Answer: w ≤ 14 cm , L ≤ 42 cm

Step-by-step explanation:

width (w): w

Length(L): 3w

Perimeter (P) = 2w + 2L

P ≤ 112

 2w +   2L   ≤ 112

2(w) + 2(3w) ≤ 112

 2w +   6w   ≤ 112

       8w        ≤ 112

         w        ≤ 14

MIDDLE SCHOOL

The product of a number and 4 increased by 16 is -2

Answers

Let n = the unknown number

"The product of a number and 4" = 4 * n = 4n

"increased by 16" = + 16

Set it all equal to - 2.

4n + 16 = - 2

Subtract 16 from both sides to get constants on one side and variables on the other.

4n = - 2 - 16

Combine like terms:

4n = - 18

Divide both sides by 4 to isolate variable n.

n = - 18 / 4

= - 4 and 2/4 = - 4 and 1/2

HIGH SCHOOL

The number of visitors to a park is expected to follow the function v(x) = 8(x − 1), where x is the number of days since opening. On the first day, there will be a ceremony with 32 people in attendance. What is the function that shows total visitors, including the ceremony?

Answers

You have the function v(x) = 8(x − 1), where x is the number of days since opening.

 On the first day, there will be a ceremony with 32 people in attendance.

 Therefore, keeping the information above on mind, the function that shows total visitors, including the ceremony is:

 f(x)=8(x-1)+32

 So, as you can see, the answer is: 

 f(x)=8(x-1)+32
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