MATHEMATICS
HIGH SCHOOL

Answer: Your question doesnt make sence

MIDDLE SCHOOL

Does 1/2+1/8 = to 3/4

1/2 is 2/4, and so we would need another 1/4 to make it equal to 3/4

1/8 is not equal to 1/4, so 1/2+1/8 does not equal 3/4

1/8 is not equal to 1/4, so 1/2+1/8 does not equal 3/4

No because you find the common denominator which is 8, then multiply what you got on the bottom to the top. 4/8 + 1/8 = 5/8

MIDDLE SCHOOL

If two lines are perpendicular to the same line, prove that they are parallel to each other

In order to prove that two lines are parallel to each other, you need to show that they have the same slope.

Line 1 is perpendicular to a line that has slope m, thus it has a slope of -1/m.

Line 2 is perpendicular to the same line with slope m, thus it has a slope of -1/m.

Line 1 and Line 2 have the same slope so they are parallel.

Line 1 is perpendicular to a line that has slope m, thus it has a slope of -1/m.

Line 2 is perpendicular to the same line with slope m, thus it has a slope of -1/m.

Line 1 and Line 2 have the same slope so they are parallel.

HIGH SCHOOL

Joe and three friends went to Texas Roadhouse for dinner. The total bill was $76.25. They left the server a 20% tip. How much was the tip? What was the total bill? How much should each person pay?

We have that for the Question " How much was the tip? What was the total bill? How much should each person pay?" it can be said that

- 20% tip=$15.25
- TB=$91.5
- P=$22.875

From the question we are told

- Joe and three friends went to Texas Roadhouse for dinner.
- The total bill was $76.25. They left the server a 20% tip.
- How much was the tip? What was the total bill? How much should each person pay

Generally the equation for the 20% tip is mathematically given as

20% tip=\frac{20}{100}*76.25

20% tip=$15.25

and

Total bill

TB=76.25+15.25

TB=$91.5

Also

Each pay

since they are 4

Therefore

P=TB/4

P=91.5/4

P=$22.875

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TIP-

$76.25 x .2 = $15.25

TOTAL BILL-

$76.25 + $15.25= $91.50

EACH PERSON PAYS-

$91.50/ 4 (Jose + 3 friends) = $22.87

$76.25 x .2 = $15.25

TOTAL BILL-

$76.25 + $15.25= $91.50

EACH PERSON PAYS-

$91.50/ 4 (Jose + 3 friends) = $22.87

HIGH SCHOOL

Hadley has 3/6 of a box of white envelopes and 1/3 of a box of grey envelopes. When full, each box of envelopes has the same number of envelopes. Hadley said she has 4/9 of a box when she puts the white envelopes and the grey envelopes together,

Answer:

Hadley is incorrect, because there would be 15/18, not 8/18

Step-by-step explanation:

You did not ask a question, but i assume you wanted to know if she was incorrect. In that case, she was. If this was not your question, please reply and i will answer it.

HIGH SCHOOL

Show how you solve and find the answer to the following.

If 15 m = 63, find the value of 4m.

MIDDLE SCHOOL

The candy store has two containers of hard candy. One container has cherry, blueberry, and raspberry. The second container has orange, lime, blueberry, and lemon. Which set represents all flavors of candy in the containers?

Answer:

{cherry, blueberry, raspberry, orange, lime, lemon }

Step-by-step explanation:

We are given the following information:

A = Set for candy flavors for container 1 =

{cherry, blueberry, raspberry}

B = Set for candy flavors for container 2 =

{orange, lime, blueberry, lemon}

Set that represents all flavors of candy in the containers =

= {cherry, blueberry, raspberry, orange, lime, lemon }

Neither because container 1 does not have orange, lime, or lemon. Container 2 does not have cherry or raspberry

HIGH SCHOOL

Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.

Using product rule;

f(x)=(1+6x²)(x-x²)

f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1

Solving the bracket first;

f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4

f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1

f(x)=(1+6x²)(x-x²)

f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1

Solving the bracket first;

f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4

f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1

HIGH SCHOOL

Driving at a constant speed, Reggie travels 300 kilometers in 1 hour. What is Reggie’s speed in kilometers per hour?

It is given in the question that Driving at a constant speed, Reggie travels 300 kilometers in 1 hour.

So here distance is 300 kilometers and time is 1 hour .

The formula of speed is

Substituting the given values of distance and time, we will get

So when distance is 300 km and time is 1 hour, so speed is 300 km/hour and that's the answer .

Answer: 300 kilometers per hour

Step-by-step explanation:

Given : Driving at a constant speed, Reggie travels 300 kilometers in 1 hour.

Now, the formula to find speed is given by:-

i.e. Reggie’s speed in kilometers per hour =

i.e. Reggie’s speed in kilometers per hour =

Hence, Reggie’s speed is 300 kilometers per hour.

COLLEGE

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if he wishes the estimate to be within two percentage points with 90% confidence, assuming that (a) he uses the estimates of 21.6% male and 19.2% female from a previous year?

(b) he does not use any prior estimates?

Answer:

Step-by-step explanation:

The standard normal distribution represents a normal curve with mean 0 and standard deviation 1. Thus, the parameters involved in a normal distribution are mean(μ) and standard deviation(σ)

The general formula for the sample size is given below:

The formular for finding sample size is given as:

a.)

it is given that

The confidence level is 0.90

For (1 - ∝) = 0.90

∝=0.10; ∝/2 = 0.05

frm the standard normal table, the required value for 90% confidence is 1.645. The sample size is as shown:

=

The required sample size is 352 (nearest whole number)

b.)

it is given that

The confidence level is 0.90

For (1 - ∝) = 0.90

∝=0.10; ∝/2 = 0.05

frm the standard normal table, the required value for 90% confidence is 1.645. The sample size is as shown:

=

The required sample size is 542 (nearest whole number)