MATHEMATICS
HIGH SCHOOL

B) 60 in3

C) 144 in3

D) 120 in3

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

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.

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?

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

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?

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?

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 =

Solutions

To solve the equation we have to isolate 12y

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

-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.

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

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?

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

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