MATHEMATICS
HIGH SCHOOL

Answer: 2 is a whole number

and .66= 66/100

So the answer is 2 & 66/100

and .66= 66/100

So the answer is 2 & 66/100

HIGH SCHOOL

Theta = 11pi /6 in standard position

Standard position would be 2pi-11pi/6, or pi/6 in the fourth quadrant

HIGH SCHOOL

Which of the following is NOT required to determine minimum sample size to estimate a population mean? Choose the correct answer below. A. The desired confidence level

B. The desired margin of error

C. The size of the population, N

D. The value of the population standard deviation, sigma

Answer: c

Step-by-step explanation:

The minimum sample size does not depend on the size of the population

MIDDLE SCHOOL

Which quantity is proportional to 90⁄2

Answer:

Step-by-step explanation:

90/2 is proportional to 45

MIDDLE SCHOOL

Tracy needs to find the length & width of the equipment storage room where she works. The room is 4 meters longer than it is wide. Its preimeter is 24 meters

Answer:

length = 8m

width = 4m

Step-by-step explanation:

The perimeter of a rectangle is the formula: P = 2w + 2l, where 'w' is equal to the width and 'l' is equal to the length. In this case, the width can be expressed as 'w' and the length, which is '4 meters longer than its width' would be 'w +4'. So, when you put these expressions into the equation:

P = 2w + 2(w +4)

P = 2w + 2w + 8 or 4w + 8

Since perimeter = 24m, plug it in and solve for 'w':

24 = 4w + 8

Subtract 8 from both sides: 24 - 8 = 4w + 8 - 8 or 16 = 4w

Solve for w: w = 4m

Solve for l: l = w + 4 or 4+4, so l = 8m

HIGH SCHOOL

Explain the transformation rules for the graph of y=2|x-2|+5

1) Graph f(x) = |x|

Observe that y = 2|x - 2| + 5 = 2f(x) + 5

So, these are the transformation rules that you can use:

2) shift the graph 2 units to the rigth: because |x - 2| is f(x - 2)

3) dilate the function (stretch vertically) multiplying by 2

4) shift the graph 5 units upward: because adding a constant to the function moves the graph upward the same amount of units as the value of the constant.

Observe that y = 2|x - 2| + 5 = 2f(x) + 5

So, these are the transformation rules that you can use:

2) shift the graph 2 units to the rigth: because |x - 2| is f(x - 2)

3) dilate the function (stretch vertically) multiplying by 2

4) shift the graph 5 units upward: because adding a constant to the function moves the graph upward the same amount of units as the value of the constant.

COLLEGE

Rachel earned $85.25 for working 6 1 4 hours. How much does Rachel earn per hour?

This May Be Incorrect, But Maybe $13.64???

If So, Then $85.25 Divided By 6.25 (1/4) = $13.64 Per Hour.

$13.64 • 6.25 = $85.25

If So, Then $85.25 Divided By 6.25 (1/4) = $13.64 Per Hour.

$13.64 • 6.25 = $85.25

MIDDLE SCHOOL

Suppose the lead actor in a play is 5 feet, 9 inches tall. Convert his height to meters. Round your answer to the nearest hundredth meter. A).175 meters

B)1.7 meters

C)1.75 meters

D)17.5 meters

Given that the lead actor is 5 feet 9 inches tall, converting this to meters we shall have:

1 ft = 0.3048 m

therefore 5 ft will be:

(5/1)×0.3048

=1.524m

next:

1 in = 0.0254 m

therefore 9 inches will be:

(9/1)×0.0254

=0.2286 m

hence; 5 ft 9 inches will be equivalent of:

(1.524+0.2286) m

=1.7526 m

1 ft = 0.3048 m

therefore 5 ft will be:

(5/1)×0.3048

=1.524m

next:

1 in = 0.0254 m

therefore 9 inches will be:

(9/1)×0.0254

=0.2286 m

hence; 5 ft 9 inches will be equivalent of:

(1.524+0.2286) m

=1.7526 m

Answer:1.75

Step-by-step explanation: 2+w#eo

39(+694

HIGH SCHOOL

A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $316.20.The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $375.00. How much did each cost? Solve this system using an inverse matrix. (Hint: It's easier to leave the dozens in the problem until the last step.)

Answer: Cost of each hot dog and bratwursts would be $1.1 and $1.35 each.

Step-by-step explanation:

Since we have given that

Cost of each dozen hot dogs be 'x'.

Cost of each dozen bratwursts be 'y'.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $316.20.

So, the equation would be

.The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $375.00.

So, the equation would be

So, the equations becomes

So, by elimination method, we get that

Put the value of y in the eq(1), we get that

Hence, the cost of hot dogs would be

And the cost of bratwursts would be

MIDDLE SCHOOL

Find the area of a triangle whose base is 5cm and whose height is 12cm.

By definition, the area of the triangle is given by:

Where,

b: base

h: height

Substituting values we have:

Answer:

The area of a triangle whose base is 5cm and whose height is 12cm is:

A = 30 cm ^ 2

Where,

b: base

h: height

Substituting values we have:

Answer:

The area of a triangle whose base is 5cm and whose height is 12cm is:

A = 30 cm ^ 2

A=30. The formula to find the area of a triangle is. 1/2(base x height)