Basic Math Questions and Answers

Match the relationship in the second pair of
words with that of the first pair.
anguish: agony :: appreciation :
A. recognition
B. rejection
C. condemnation
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Basic Math
Match the relationship in the second pair of words with that of the first pair. anguish: agony :: appreciation : A. recognition B. rejection C. condemnation
The formula T = 21x² +862x+15,552
models the
average cost of tuition and fees, T, for private U.S.
colleges for the school year ending x years after
2000. Use this formula to project the average cost of
tuition and fees at private U.S. colleges for the
school year ending in 2020.
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The formula T = 21x² +862x+15,552 models the average cost of tuition and fees, T, for private U.S. colleges for the school year ending x years after 2000. Use this formula to project the average cost of tuition and fees at private U.S. colleges for the school year ending in 2020.
A random sample of size 16 from a normal distribution has standard deviation s= 100. Test Ho:o=34 versus H₁:o>34. Use
the a= 0.01 level of significance.
Part 1 of 5
The hypotheses are provided above.
This hypothesis test is a right-tailed
Part: 1/5
Part 2 of 5
Find the critical value.
Critical value = 995
X
▼test.
3
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A random sample of size 16 from a normal distribution has standard deviation s= 100. Test Ho:o=34 versus H₁:o>34. Use the a= 0.01 level of significance. Part 1 of 5 The hypotheses are provided above. This hypothesis test is a right-tailed Part: 1/5 Part 2 of 5 Find the critical value. Critical value = 995 X ▼test. 3
Change the following fraction to a percent. Write your answer in percent form. Round your answer to the nearest tenth of a percent, if necessary.
6
100
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Change the following fraction to a percent. Write your answer in percent form. Round your answer to the nearest tenth of a percent, if necessary. 6 100
- log₁0 [H*] where [H+] is the concentration of
The pH scale for acidity is defined by pH =
hydrogen ions measured in moles per liter (M).
A solution has a pH of 2.3.
Calculate the concentration of hydrogen ions in moles per liter (M). Write the answer in scientific notation.
moles per liter.
The concentration of hydrogen ions is
Enter scientific notation as follows: 1E – 14 would be entered as 1*10^-14
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- log₁0 [H*] where [H+] is the concentration of The pH scale for acidity is defined by pH = hydrogen ions measured in moles per liter (M). A solution has a pH of 2.3. Calculate the concentration of hydrogen ions in moles per liter (M). Write the answer in scientific notation. moles per liter. The concentration of hydrogen ions is Enter scientific notation as follows: 1E – 14 would be entered as 1*10^-14
Which is the correct way to rewrite the
following sentence fragment?
Reaction after the sounds those dreadful
cannon were making.
A. We had a reaction after the sounds those dreadful
cannons were making.
B. Those cannons had a reaction; after the sounds we were
making.
C. Dreadful cannon reaction to the sounds it was making.
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Which is the correct way to rewrite the following sentence fragment? Reaction after the sounds those dreadful cannon were making. A. We had a reaction after the sounds those dreadful cannons were making. B. Those cannons had a reaction; after the sounds we were making. C. Dreadful cannon reaction to the sounds it was making.
The distance to your cousin's house is 703 miles, and the distance to New York City is 185 miles. If it took 19 hours to drive to your cousin's house,
how long would you estimate the drive to New York City to take?
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The distance to your cousin's house is 703 miles, and the distance to New York City is 185 miles. If it took 19 hours to drive to your cousin's house, how long would you estimate the drive to New York City to take?
You go to the doctor and he gives you 16 milligrams of radioactive dye. After 20 minutes, 4.75 milligrams of
dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without
sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your
system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived?
Give your answer to the nearest minute.
You will spend
minutes at the doctor's office.
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You go to the doctor and he gives you 16 milligrams of radioactive dye. After 20 minutes, 4.75 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute. You will spend minutes at the doctor's office.
Question 11
of 38 Ste
Use the basic proportion
necessary.
P
100
=
A
to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if
B
is 33 % of 487.
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Question 11 of 38 Ste Use the basic proportion necessary. P 100 = A to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if B is 33 % of 487.
The nervous system can be protected by
which play an important role in
protecting us from various infections.
A. a force field
B. vaccinations
C. diseases
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The nervous system can be protected by which play an important role in protecting us from various infections. A. a force field B. vaccinations C. diseases
If you have $17 and you spend $12 on baseball tickets, what fraction of your money did you spend?
Answer How to enter your answer (opens in new window) 2 Points
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If you have $17 and you spend $12 on baseball tickets, what fraction of your money did you spend? Answer How to enter your answer (opens in new window) 2 Points
Not all types of blood combine. If you try
and combine blood that isn't compatible,
what will happen?
A. bone marrow absorbs it
B. antibodies attack it
C. all white blood cells will die
D. the heart will convert it into the right blood type
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Not all types of blood combine. If you try and combine blood that isn't compatible, what will happen? A. bone marrow absorbs it B. antibodies attack it C. all white blood cells will die D. the heart will convert it into the right blood type
12
A Super Happy Fun Ball is dropped from a height of 6 feet and rebounds of the distance from which it
13
fell. How many times will it bounce before its rebound is less than 1 foot?
It will bounce
times before its rebound is less than 1 foot.
How far will the ball travel before it comes to rest on the ground?
It will travel
feet before it comes to rest on the ground.
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12 A Super Happy Fun Ball is dropped from a height of 6 feet and rebounds of the distance from which it 13 fell. How many times will it bounce before its rebound is less than 1 foot? It will bounce times before its rebound is less than 1 foot. How far will the ball travel before it comes to rest on the ground? It will travel feet before it comes to rest on the ground.
Use the basic proportion
necessary.
P
100
A
to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if
B
43% of what number is 133?
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Use the basic proportion necessary. P 100 A to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if B 43% of what number is 133?
Consider the following numbers.
Prev
3, 18, 5
Step 2 of 2: Determine the number of times each number divides into the LCM.
Answer How to enter your answer (opens in new window) 2 Points
3 divides into LCM
18 divides into LCM
5 divides into LCM
times
times
times
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Consider the following numbers. Prev 3, 18, 5 Step 2 of 2: Determine the number of times each number divides into the LCM. Answer How to enter your answer (opens in new window) 2 Points 3 divides into LCM 18 divides into LCM 5 divides into LCM times times times
A little boy is in a treehouse, 25 feet up in a tree. He lifts a 2-lb rope
that reaches the ground hand over hand up to the treehouse.
How much work (in ft-lbs) is required to pull the rope to the
treehouse?
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A little boy is in a treehouse, 25 feet up in a tree. He lifts a 2-lb rope that reaches the ground hand over hand up to the treehouse. How much work (in ft-lbs) is required to pull the rope to the treehouse?
There is a spongy tissue found inside our
which produces a lot of cells that
become part of our blood.
A. cells
B. bones
C. nerves
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There is a spongy tissue found inside our which produces a lot of cells that become part of our blood. A. cells B. bones C. nerves
Convert the units of measure as indicated.
75 qt =
pt
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Convert the units of measure as indicated. 75 qt = pt
aestion 4 of 17, Step 1 of 1
Correct
The distance to your uncle's house is 666 miles, and the distance to San Francisco is 925 miles. If it took 18 hours to drive to your uncle's house, how long would you
estimate the drive to San Francisco to take?
Keypad
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aestion 4 of 17, Step 1 of 1 Correct The distance to your uncle's house is 666 miles, and the distance to San Francisco is 925 miles. If it took 18 hours to drive to your uncle's house, how long would you estimate the drive to San Francisco to take? Keypad
In a study of 420,074 cell phone users, 139 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such
cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the
rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.001 significance level. Identify the null hypothesis.
alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method
and the normal distribution as an approximation to the binomial distribution.
A. Ho: p=0.00034
H₂: p=0.00034
OC Ho: p=0.00034
H₁ p<0.00034
E Ho: p=0.00034
H₂ p>0.00034
What is the test statistic?
(Round to two decimal places as needed)
B. Ho: p>0.00034
H₁: p=0.00034
12. Ho p<0.00034
Hy: p=0.00034
Ho: p=0.00034
Hy: p=0.00034
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In a study of 420,074 cell phone users, 139 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.001 significance level. Identify the null hypothesis. alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. A. Ho: p=0.00034 H₂: p=0.00034 OC Ho: p=0.00034 H₁ p<0.00034 E Ho: p=0.00034 H₂ p>0.00034 What is the test statistic? (Round to two decimal places as needed) B. Ho: p>0.00034 H₁: p=0.00034 12. Ho p<0.00034 Hy: p=0.00034 Ho: p=0.00034 Hy: p=0.00034
An average of 5000 people visit an Amusement Park each day in the summer. The
admission fee is $50. Consultants predict that, for each $2 increase in the admission
fee, the park will lose an average of 250 customers each day. The revenue function is
a
a) quotient function
b) product function
c) sum function
d) difference function
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An average of 5000 people visit an Amusement Park each day in the summer. The admission fee is $50. Consultants predict that, for each $2 increase in the admission fee, the park will lose an average of 250 customers each day. The revenue function is a a) quotient function b) product function c) sum function d) difference function
Use the tests for divisibility to determine which numbers divide evenly into the given number.
539,371
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Use the tests for divisibility to determine which numbers divide evenly into the given number. 539,371
A group of 202 people went on an overnight camping trip, taking 60 tents with them.
Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the
tents were filled to capacity and every person got to sleep in a tent, exactly how many of
the tents were 2-person tents?
A. 30
B. 20
C. 19
D. 18
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A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents? A. 30 B. 20 C. 19 D. 18
Which of the following is NOT an example of a
refusal skill?
A. Team up with someone to do something else.
B. Allow another person to make the decision for you.
C. Suggest something else to do.
D. Leave the situation.
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Which of the following is NOT an example of a refusal skill? A. Team up with someone to do something else. B. Allow another person to make the decision for you. C. Suggest something else to do. D. Leave the situation.
The distance to your uncle's house is 592 miles, and the distance to Disneyland is 37 miles. If it took 16 hours to drive to your uncle's house, how long would you
estimate the drive to Disneyland to take?
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The distance to your uncle's house is 592 miles, and the distance to Disneyland is 37 miles. If it took 16 hours to drive to your uncle's house, how long would you estimate the drive to Disneyland to take?
Convert the units of measure as indicated.
Answer
How to enter your answer (opens in new window)
104 pt =
qt
qt
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Convert the units of measure as indicated. Answer How to enter your answer (opens in new window) 104 pt = qt qt
There are three types of diabetes. Which
type of diabetes can usually be controlled by
diet and exercise, and may also require
medication?
A. type
B. type II
C. gestational diabetes
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There are three types of diabetes. Which type of diabetes can usually be controlled by diet and exercise, and may also require medication? A. type B. type II C. gestational diabetes
Question 10
of 28 Step 1 of 1
1
of your income for rent and
If your income is $3540 a month and you plan to budget 5
spend each month on these two items? Simplify your answer.
Answer 2 Points
296:40:56
7
of your income for food, how much do you plan to
10
Keypad
Keyboard Shortcuts
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Question 10 of 28 Step 1 of 1 1 of your income for rent and If your income is $3540 a month and you plan to budget 5 spend each month on these two items? Simplify your answer. Answer 2 Points 296:40:56 7 of your income for food, how much do you plan to 10 Keypad Keyboard Shortcuts
Write the following whole number in expanded notation.
A
9513
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Write the following whole number in expanded notation. A 9513
Having a
will help you avoid
a midlife crisis.
A. small family
B. large salary
C. positive attitude
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Having a will help you avoid a midlife crisis. A. small family B. large salary C. positive attitude
question 10 of 15, Step 1 of 1
Use the basic proportion
100
-
to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if necessary.
B
40% of 60 is
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question 10 of 15, Step 1 of 1 Use the basic proportion 100 - to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if necessary. B 40% of 60 is
Convert the units of measure as indicated.
22,440 ft
=
mi
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Convert the units of measure as indicated. 22,440 ft = mi
Convert the units of measure as indicated. Round your answer to the nearest hundredth, if necessary.
4.5 c =
qt
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Convert the units of measure as indicated. Round your answer to the nearest hundredth, if necessary. 4.5 c = qt
A farmer wants to build a fence around his
rectangular field. In addition, he wants to
divide it in half with a fence perpendicular
to the longer side of the rectangular field
so that it becomes two smaller squares. If
the total length of the fence is 420 feet,
what is the length of the shorter side of the
rectangular field?
A.
B.
C.
D.
E.
30 feet
40 feet
50 feet
60 feet
70 feet
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A farmer wants to build a fence around his rectangular field. In addition, he wants to divide it in half with a fence perpendicular to the longer side of the rectangular field so that it becomes two smaller squares. If the total length of the fence is 420 feet, what is the length of the shorter side of the rectangular field? A. B. C. D. E. 30 feet 40 feet 50 feet 60 feet 70 feet
Use the basic proportion
necessary.
P
100
to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if
B
What is 61 % of 220?
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Use the basic proportion necessary. P 100 to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if B What is 61 % of 220?
The loudness of sound in decibels perceived by the human ear depends on the intensity levels according to
(H)
Find the decibel level when I is 100, 000, 000 times Io
___
10 log
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The loudness of sound in decibels perceived by the human ear depends on the intensity levels according to (H) Find the decibel level when I is 100, 000, 000 times Io ___ 10 log
Find the time required for an investment of 6,000 dollars to grow to 15,000 dollars at an interest rate of 8%
per year, compounded monthly. Give your answer accurate to 2 decimal places.
years.
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Find the time required for an investment of 6,000 dollars to grow to 15,000 dollars at an interest rate of 8% per year, compounded monthly. Give your answer accurate to 2 decimal places. years.
Solve the following proportion.
41/123=29/x
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Solve the following proportion. 41/123=29/x
Sometimes the immune system makes a
mistake, and instead of attacking infections
it begins to attack part of the body. When
this happens, what is the result?
A. autoimmune diseases
B. immune diseases
C. automatic diseases
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Sometimes the immune system makes a mistake, and instead of attacking infections it begins to attack part of the body. When this happens, what is the result? A. autoimmune diseases B. immune diseases C. automatic diseases
Use the basic proportion
necessary.
P
100
=
A
to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if
B
120% of
is 240.
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Use the basic proportion necessary. P 100 = A to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if B 120% of is 240.
From the information given, find the quadrant in which the terminal point determined by t lies.
Input I, II, III, or IV.
(a) sin(t) < 0 and cos(t) < 0, quadrant
(b) sin(t) > 0 and cos(t) < 0, quadrant
(c) sin(t) > 0 and cos(t) > 0, quadrant
(d) sin(t) < 0 and cos(t) > 0, quadrant
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From the information given, find the quadrant in which the terminal point determined by t lies. Input I, II, III, or IV. (a) sin(t) < 0 and cos(t) < 0, quadrant (b) sin(t) > 0 and cos(t) < 0, quadrant (c) sin(t) > 0 and cos(t) > 0, quadrant (d) sin(t) < 0 and cos(t) > 0, quadrant
is the first response to give when
someone is hurt, or an accident occurs.
A. First aid
B. CPR
C. Medical treatment
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is the first response to give when someone is hurt, or an accident occurs. A. First aid B. CPR C. Medical treatment
What is the exact volume of a solid that is formed with a square base,
aligned with the center of the solid on the x-axis and the edge of the
base following the function g(x) = x² + 2 on the interval
[0, 4]?
Note: Round to the nearest tenth.
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What is the exact volume of a solid that is formed with a square base, aligned with the center of the solid on the x-axis and the edge of the base following the function g(x) = x² + 2 on the interval [0, 4]? Note: Round to the nearest tenth.
Question 6 of 15, Step 1 of 1
Use the basic proportion
P
100
=
Correct
A
to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if necessary.
B
85% of 80 is
Keyboa
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Question 6 of 15, Step 1 of 1 Use the basic proportion P 100 = Correct A to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if necessary. B 85% of 80 is Keyboa
Change the following decimal to a percent. Write your answer in percent form.
0.4
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Change the following decimal to a percent. Write your answer in percent form. 0.4
If a truck travels 356 miles on 20 gallons of gas, how many miles per gallon does it average (to the nearest tenth)?
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If a truck travels 356 miles on 20 gallons of gas, how many miles per gallon does it average (to the nearest tenth)?
If fruits and vegetables make up half of your
plate, what two other food groups should
make up the other half of your plate?
A. milk and cheese
B. meat, or protein
C. grains and proteins
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If fruits and vegetables make up half of your plate, what two other food groups should make up the other half of your plate? A. milk and cheese B. meat, or protein C. grains and proteins
In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's
degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.01 margin of error and use a confidence level of 95%. Complete parts
(a) through (c) below.
a. Assume that nothing is known about the percentage to be estimated.
n = 9604
(Round up to the nearest integer.)
b. Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.
n=
(Round up to the nearest integer.)
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In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.01 margin of error and use a confidence level of 95%. Complete parts (a) through (c) below. a. Assume that nothing is known about the percentage to be estimated. n = 9604 (Round up to the nearest integer.) b. Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less. n= (Round up to the nearest integer.)
4.
A pool contained 32 gallons of water thirty minutes after it began to rain. Twenty minutes later (fifty minutes
after the rain began to fall), the pool contained 40 gallons of water. Assume it rained at a constant rate (in
gallons per minute).
a) Determine the equation of the linear relation (in slope-intercept form) with x = the # of minutes it had been
raining, and y = the # of gallons of water in pool. Sketch the graph.
b)
What do the slope and the y-intercept of your line indicate?
c)
Use your equation to determine how much water the pool will contain two hours after the rain began to fall.
d) Use your equation to determine when the pool will overflow (the pool holds up to 100 gallons).
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4. A pool contained 32 gallons of water thirty minutes after it began to rain. Twenty minutes later (fifty minutes after the rain began to fall), the pool contained 40 gallons of water. Assume it rained at a constant rate (in gallons per minute). a) Determine the equation of the linear relation (in slope-intercept form) with x = the # of minutes it had been raining, and y = the # of gallons of water in pool. Sketch the graph. b) What do the slope and the y-intercept of your line indicate? c) Use your equation to determine how much water the pool will contain two hours after the rain began to fall. d) Use your equation to determine when the pool will overflow (the pool holds up to 100 gallons).
Which of the following statements is not
true in reference to obesity?
A. Obesity increases the risk of heart disease.
B. The number of people who are obese is very small.
C. Many obese people struggle to lose weight and keep it off.
D. The diagnosis of obesity is based on a specific calculation.
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Which of the following statements is not true in reference to obesity? A. Obesity increases the risk of heart disease. B. The number of people who are obese is very small. C. Many obese people struggle to lose weight and keep it off. D. The diagnosis of obesity is based on a specific calculation.