MATHEMATICS COLLEGE

A pool in the shape of a rectangular prism is 6 meters long and 3 meters wide. the water in the pool is 1 meter deep.a. the density of water is about 1 gram per cubic centimeter. find the number of kilograms of water in the pool. question 2
b. you add 6000 kilograms of water to the pool. what is the depth of the water in the pool? write your answer as a fraction. the water is about meters deep.

Answers

Answer 1

Answer:

1). Mass of water present= 18000 kg

2).4/3 meters deep

Step-by-step explanation:

Area of the rectangle= 6*3= 18m²

Volume of water in the pool

= Deepness of water*area of rectangle

= 1*18

= 18 m³

density of water is about 1 gram per cubic centimeter

In kg per m³= 1000 kg/me

Mass of water present= density*volume

Mass of water present= 1000*18

Mass of water present= 18000 kg

2)6000 kilograms of water is added to 18000 of

Total mass present= 6000+18000

Total mass present=24000 kg

If density= 1000kg/m³

Volume present= mass/density

Volume present= 24000/1000

Volume present= 24 m³

Area of the rectangle= 18 m²

deepness of the pool= volume/area

deepness of the pool= 24/18

deepness of the pool= 4/3 meters deep

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For a statistics project a community college student at Diablo Valley College decides to investigate cheating in two popular majors at DVC: business and nursing. She selects a random sample of nursing and business courses and convinces the professors to distribute a short anonymous survey in their classes. The question about cheating is one of many other questions about college life. When the student summarizes the data, she finds that 42 of the 50 business students and 38 of the 70 nursing students admitted to cheating in their courses. Can the student proceed with the calculation of the confidence interval for the difference in population proportions?

Answers

Answer:

The student can proceed with the calculation of the confidence interval for the difference in population proportions. This is because, from the data she has, 3/4 of the Business students admitted to cheating while 1/2 of the Nursing students admitted to cheating also.

This is above the average number of students in her given sample size which is valid for extrapolation to the College Majors being investigated.

Step-by-step explanation:

Stefania pours 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl. How many kiloliters are in thepunch bowl? Use the metric table to help answer the question
hecto-
100
deka-
10
Metric Table
unit
1
deci-
0.1
centi-
0.01
milli-
0.001
1,000
0.0035 kiloliters
0.035 kiloliters
O 0.35 kiloliters
3.5 kiloliters

Answers

Answer:

the correct answer is A (0.0035 kiloliters)

Step-by-step explanation:

i hope this helps

Answer:

A us the correct answer

Step-by-step explanation:

I took the test earlier today and got it right

If m 2 - 98°, m 3 - 23 and m 8 - 70°, find the measure of each missing angle.

Answers

Here, we are required to find the value of the other angles in the diagram attached to this answer sheet.

The value of the angles are;

m∠1 = 82°
m∠2 = 98°
m∠3 = 23°
m∠4 = 59°
m∠5 = 121°
m∠6 = 51°
m∠7 = 59°
m∠8 = 70°
m∠9 = 51°
m∠10 = 129°

The understanding of the triangle theorem and line theorems is very important to resolve this.

The sum of angles in a triangle = 180⁰.
The sum of angles on a straight line = 180⁰
Alternate angles are equal.

m∠1 + m∠2 = 180°(Theorem:sum of angles on a straight line =180⁰)

m∠1 + 98 = 180

m∠1 = 180 - 98

m∠1 = 82°

m∠2 + m∠3 + m∠7 = 180° (Theorem=sum ofangles in a triangle = 180⁰)

98 + 23 + m∠7 = 180

m∠7 + 121 = 180

m∠7 = 180 - 121

m∠7 = 59°

m∠4 = m∠7 (Theorem = alternate angles are equal)

m∠4 = 59°

m∠6 + m∠7 + m∠8 = 180° (Theorem = sum of angles on a straight line = 180)

m∠6 + 59 + 70 = 180

m∠6 + 129 = 180

m∠6 = 180 - 129

m∠6 = 51°

m∠4 + m∠8 + m∠9 = 180° (Theorem = sum of angles in a triangle = 180)

59 + 70 + m∠9 = 180

m∠9 + 129 = 180

m∠9 = 180 - 129

m∠9 = 51°

m∠4 + m∠5 = 180° (Theorem = sum of angles on a straight line = 180)

m∠5 + 59 = 180

m∠5 = 180 - 59

m∠5 = 121°

m∠10 + m∠9 = 180° (Theorem = sum of angles on a straight line = 180⁰)

m∠10 + 51 = 180

m∠10 = 180 - 51

m∠10 = 129°

Read more:

brainly.com/question/20563816

Answer:

The answer is below

Step-by-step explanation:

The complete question is given in the image attached below

m∠1 + m∠2 = 180° (sum of angles on a straight line)

m∠1 + 98 = 180

m∠1 = 180 - 98

m∠1 = 82°

m∠2 + m∠3 + m∠7 = 180° (sum of angles in a triangle)

98 + 23 + m∠7 = 180

m∠7 + 121 = 180

m∠7 = 180 - 121

m∠7 = 59°

m∠4 = m∠7 (alternate angles)

m∠4 = 59°

m∠6 + m∠7 + m∠8 = 180° (sum of angles on a straight line)

m∠6 + 59 + 70 = 180

m∠6 + 129 = 180

m∠6 = 180 - 129

m∠6 = 51°

m∠4 + m∠8 + m∠9 = 180° (sum of angles in a triangle)

59 + 70 + m∠9 = 180

m∠9 + 129 = 180

m∠9 = 180 - 129

m∠9 = 51°

m∠4 + m∠5 = 180° (sum of angles on a straight line)

m∠5 + 59 = 180

m∠5 = 180 - 59

m∠5 = 121°

m∠10 + m∠9 = 180° (sum of angles on a straight line)

m∠10 + 51 = 180

m∠10 = 180 - 51

m∠10 = 129°

F(x)=3x-8--------
6x

Find and simplify

f(3)-f(1)
------------
3-1

I have no idea what this question is, any ideas?

Answers

What this is asking is for you to plug values into the following function: $f(x)=(3x-8)/(6x)$

Since the question is asking you to find $f(3)-f(1)$ , this is how you work it out:
You take the function;
$f(x)=(3x-8)/(6x)$
And plug the numbers indicated in for x;
$f(x)=(3x-8)/(6x)\nf(3)=(3(3)-8)/(6(3))\nf(3)=(9-8)/(18)\nf(3)=(1)/(18)\n\nf(1)=(3(1)-8)/(6(1))\nf(1)=(3-8)/(6)\nf(1)=(-5)/(6)\n\nNow\ what\ you\ do\ is\ you\ subract\ f(3)\ and\ f(1).\nf(3)-f(1)\nf(3)-f(1)=(1)/(18)-(-5)/(6)\nf(3)-f(1)=(1)/(18)-(-15)/(18)\nf(3)-f(1)=(1+15)/(18)\nf(3)-f(1)=(16)/(18)=(8)/(9)$
So the answer to f(3) - f(1) = $(8)/(9)$

The constant in the expression 8x 3 + 4x 2 – 9 is

Answers

Answer : 9

Step-by-step explanation:

The answer is 9 because a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. The oil change for one car required 5 quarts of oil and cost $22.15. The oil change for the other car required 7 quarts of oil and cost $25.15. How much is the labor fee and how much is each quart of oil?

Answers

Answer:

Labor = $14.65

Step-by-step explanation:

25.15-22.15= 3 3/2 = 1.5

1qt = $1.5

1.5 x 5 = $7.5

22.15 - 7.5 = $14.65

1.5 x 7 = 10.5

25.15 - 10.5 = $14.65

Labor = $14.65

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