MATHEMATICS
HIGH SCHOOL

Radius : 4.5

Height : 15

A) 303.75 cm

B) 135 cm

C) 1215 cm

D) 67.5 cm

Answer:

Answer:

953.775cm³

Step-by-step explanation:

V= πr²h

V= 22/7x 4.5²x 15 = 3.14 x303.75 = 953.775cm³

Answer:

Answer:

Volume of the cylinder = 953.775

Step-by-step explanation:

Radius of the cylinder = 4.5

Height of the cylinder = 15

Volume of the cylinder is given by

Substituting the relevant values in the expression,

Volume of the cylinder =

=

=

=

Hence none of the given options are correct. The actual volume of the cylinder is 953.775.

MIDDLE SCHOOL

2 times 1/4=1/4+1/4= /4

2 x 1/4 = 1/4 + 1/4 = 2/4 = 1/2

MIDDLE SCHOOL

59 people going on a trip each van holds 8 people how many vans will be needed for all people?

Answer:

Step-by-step explanation:

i think its 472

59 times 8 is 472

MIDDLE SCHOOL

Given that a rectangular yard has dimensions length = 8x-3 and width 2x+6 determine the perimeter of the yard

Answer:

The perimeter of rectangular yard is 20 x + 8 yard

Step-by-step explanation:

Given as :

The length of the rectangular yard = L = 8 x - 3 yard

The width of the rectangular yard = w = 2 x + 6 yard

Let The perimeter of rectangular yard = p yard

According to question

Now, The perimeter of rectangular yard is given as

Perimeter = 2 × Length + 2 × width

Or, p = 2 × L + 2 × w

Or, p = 2 × (8 x - 3) + 2 × (2 x + 6)

Or, p = 16 x - 6 + 4 x + 12

Or, p = (16 x + 4 x) + (12 - 4)

Or, p = 20 x + 8 yard

So, The perimeter of rectangular yard = p = 20 x + 8 yard

Hence The perimeter of rectangular yard is 20 x + 8 yard Answer

MIDDLE SCHOOL

The number of coffee shops in a certain country can be modeled by the quadratic function f ( x )=110 x squared + 746 x + 4417,

where f(x) is the number of coffee shops and x is the number of years after 2000. Complete parts a and b

a. Find the number of coffee shops in

2004.

b. If the trend described by the model continues, predict the year after 2000 in which the number of coffee shops will be 26,500.

a. The number of coffee shops in 2004

was

Answer:

a. 9161

b. 2011

Step-by-step explanation:

The number of coffee shops in the country can be modeled as by the function: f(x) = 110x² + 746x + 4417, where f(x) is the number of coffee shops and x is the number of years after 2000.

a. Now, in 2004, the x value is (2004 - 2000) = 4.

Therefore, f(4) = 110 × 4² + 746 × 4 + 4417 = 9161

So, the number of coffee shops in 2004 is 9161.

b. If f(x) = 26500, then we have to find the value of x.

So, 110x² + 746x + 4417 = 26500

⇒ 110x² + 746x - 22083 = 0

Applying the Sridhar Achaya formula to find x,

{Neglecting the negative roots as x can not be negative}

⇒ x = 11.17 years.

If ax² + bx + c = 0, then Using the Sridhar Acharya Formula, we can write

and

Therefore, in 2011 the number of coffee shop will be 26500.

HIGH SCHOOL

What is 2/5 of 16 miles

6.4 miles is the correct answer

2/5 of 16 miles is 6.4 miles.

MIDDLE SCHOOL

A car company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?

It would be when it gets to 3 miles because then that would be $1.50

Answer:o$1.50

Step-by-step explanation:

MIDDLE SCHOOL

The expression 3x to the second power represents

Answer:

3x3 or six or Im just not smart

Step-by-step explanation:

MIDDLE SCHOOL

If f(x) = 5x, what is f^-1(x)? o f^-1(x) = -5x

o f^-1(x)= -1/5x

o f^-1(x) = 1/5x

o f^-1(x) = 5x

Answer:

Third choice

Step-by-step explanation:

They are asking us to find the inverse of y=5x. To do this you just switch x and y and then remake y the subject of the equation (solve for y.)

y=5x

x=5y (I switch x and y)

x/5=y ( I divided both sides by 5)

Then you just replace y with the f^-1(x) thing

f^-1(x)=x/5

or

f^-1(x)=1/5x

C (

Rearranging the formula of :

For all inverse functions, . This can verify the answer by

HIGH SCHOOL

Divide (8.6 x 10^8) by (3.2 x 10^3). Express your answer in scientific notation

(8.6 x 10⁸) / (3.2 x 10³)

= 268750

= 2.7 x 10⁵

= 268750

= 2.7 x 10⁵

Answer:

thanks

Step-by-step explanation: