A swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour. The depth of the water after 5 hours is 32 inches. Write the equation for this function in point slope form.

Answers

Answer 1

Answer:

y-32=3(x-5)

Step-by-step explanation:

The swimming pool is being drained at a constant rate of 3 inches per hour, therefore:

The rate of change, Slope, m=3 inches per hour

If the depth of the water after 5 hours is 32 inches.

The depth is the dependent variable(as its values varies with time) while the time is the independent variable, we can write this as a pair (x,y)=(5, 32).

The point slope form of the equation of a line is of the form: [tex]y-y_1=m(x-x_1)\\(x_1,y_1)=(5,32), m=3\\$Substituting these values, we obtain:\\y-32=3(x-5)\\This is the equation of the function in point slope form.[/tex]


Related Questions

You are driving to visit a friend in another state who lives 440 miles away. You are driving 55 miles per hour and have already driven 275 miles. Write and solve an equation to find how much longer in hours you must drive to reach your destination. A. 55h + 275 = 440 ; h=3 B.55h - 275 = 440 ; h= 13 C.440h -275 = 55 ; h =0.75 D. 55h +275h = 440 ; h=1.3

Answers

Answer:

A. 55h + 275 = 440; h=3

Step-by-step explanation:

Since all answer choices have a different H= , finding how many hours you have left to drive will give you the right answer.

You've already driven 275 miles in your 440 mile trio so you can subtract the 275 to find out how much you will still need to drive.

440 - 275 = 165

You already know that you are driving at 55 mph so divide 165 by 55 and the answer is three.

Option A was the only answer choice which listed h=3 so that is the correct answer.

asssssapppp please need it now

Answers

Answer:30 cubic units

Solution,

Volume of the prism= l*b*h

=1 1/2*8*2 1/2

= 3/2*8*5/2

= 30 cubic units

Hope it helps

Good luck on your assignment

The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the following week. What is the average change in the price of the stock over the three weeks? A. –270 cents per week B. –90 cents per week C. –87 cents per week D. –30 cents per week

Answers

Answer:

D

Step-by-step explanation:

In 3 weeks the stock decreased 60 + 10 + 20 = 90 cents so it decreased about 90 / 3 = 30 cents per week so it is D.

Answer:

The answer is D

Step-by-step explanation:

I took the test.

Consider the equation y=-x^2-7x+12

Answers

Answer:

y = (x + 4)(x + 3)

Step-by-step explanation:

y = x ^2 + 7x + 12

The two numbers must add up to 7 and has a product of 12, and since the equation is all positive, then the two numbers are positive too.

So y = (x + 4)(x + 3) is the answer.

Check:

y = (x + 4)(x + 3)

y = x(x + 3) + 4(x + 3)     distributive property

y = x^2 + 3x + 4x + 12

y = x^2 + 7x + 12

Even the measure ofAngle six is 62 what is the measure of angle five

Answers

∠5 = 118

Step-by-step explanation:

If you look closely at this image, you can see that ∠6 and ∠5 together will be equal to line c.

A straight line is equal to 180 so if we do...

[tex]180-62[/tex]

= 118.

∠5 will be equal to 118.

If we go even further, because vertical angles are congruent...

∠7 = 62

∠8 = 118

Answer:

[tex] m \angle \: 6 = 118 \degree[/tex]

Step-by-step explanation:

[tex]m \angle \: 5 + m \angle \: 6 = 180 \degree.. (straight \: line \: \angle s) \\ \because \: m \angle \: 5 = 62 \degree \\ \therefore \: 62 \degree+ m \angle \: 6 = 180 \degree \\ \therefore \: m \angle \: 6 = 180 \degree - 62 \degree \\ \huge \red{ \boxed{\therefore \: m \angle \: 6 = 118 \degree}}[/tex]

Ok so I’m in high school and I forgot everything I learned in 6-7th grade so what is 14/2 + 12/6 I got 54/6 but I don’t know what to do to get it into simplest form btw I’m very dumb so please explain it like you would to a 4yr old

Answers

Answer:9

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator. Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1. (14/2 x 3/3)+(12/6 x 1/1). Complete the multiplication and the equation becomes  42/6+12/6. The two fractions now have like denominators so you can add the numerators. 42+12/6=54/6. Divide 54 by 6 and get 9. hope this helps :)

Convert 11.7 cm3 into ml​

Answers

Answer:

11.7

Step-by-step explanation:

1 Cubic centimeter (cm3) is equal to 1 milliliter (mL). 1 Liter is equal to 1 cubic decimeter and there are 1000 cubic centimeters in a cubic decimeter, that makes 1 cubic centimeter equals to 1 milliliter.

amanda has a board that is 7 feet long. how many 1/4 foot sections can she cut from this board

Answers

Answer:

28

Step-by-step explanation: You need to divide 7 by 1/4. Whenever you divide fractions you keep the first number as it is, change the sign to multiplication and write the reciprocal of the second fraction which is you have to flip the fraction. It is going to be 7 times 4/1. Which is 28/1 which is 28.

1 3/4 x 4 1/6 whats answer

Answers

Answer:

7 7/24

Step-by-step explanation:

first put the wholes inside the fraction:

[tex]1 \frac34 = \frac44 + \frac34 = \frac74[/tex]

[tex]4 \frac16 = \frac{24}{6} + \frac16 = \frac{25}{6}[/tex]

Then multiply numerator times numerator, denominator times denominator and take out wholes again:

[tex]\frac74 \times \frac{25}{6} = \frac{7 \times 25}{4 \times 6} = \frac{175}{24} = 7 \frac{7}{24}[/tex]

Select the correct answer.
What is the missing value in the table of equivalent ratios?
1 | 12
2 24
336
448
5 ?
Ο Α.
54
OB
58
Ос.
60
OD
64
O E 68

Answers

Answer:I think 60

Step-by-step explanation:

Answer:

60 i am positive

Step-by-step explanation:

Venla is 5 years older than her cousin Kora.
Write an equation for the age of Venla, v, when Kora is k years old.
How old is Kora when Venla is 18 years old?
years

Answers

Answer:

13

Step-by-step explanation:

v=k+5

k=Kora's age

if v=18

k=v-5

k=18-5

j=13

Some large boxes of small oranges contained 344 oranges each.how many oranges were in 4 boxes?

Answers

Answer:

1376

Step-by-step explanation: You have to multiply 344 and 4 which is 1376.

Answer:

Step-by-step explanation:

300x4=1200

4x44=176

1200+176=1376

I need help and I need explanation plz

Answers

Answer:

20 counters.

Step-by-step explanation:

50/200 or 1/4 of the counters have white paint on them.

That means you can expect 1/4 of the 80 counters pulled out to have white paint on them or 20 counters.

how to do area and perimeter ​

Answers

Answer:

Step-by-step explanation:

area and perimeter of WHAT? specify plz.



The school board has approved the addition of a new sports team at your school.


The district ordered 30 team uniforms and received a bill for $2,992.50. The total included a 5% discount.

a. The school needs to place another order for two more uniforms. The company said the discount will not

apply because the discount only applies to orders of $1,000 or more. How much will the two uniforms

cost?

Answers

Answer:

210

Step-by-step explanation:

1: Part/whole=%/100

2: 100-5=95

3: 3150/30=$105 uniforms.

Answer: $210

Hope this helps.

jordan has some music books. he will buy 9 new music books each year. he will have 52 music books in 5 years.

Rate of change per year= ___
Initial value = _____

Answers

Answer:

760 music books per each 5 years

Step-by-step explanation:

Determine whether the system of linear equations has one solution infinitely many solutions or no solution explain your reasoning. y=3x+5 and y=3x-5

Answers

Answer: The equations have no solution because no solution graphs have the same slopes but difference y- intercepts.And by looking at the equations they both have same slope as 3 but different y-intercepts 5 and -5.

Step-by-step explanation:

y= 3x + 5

y = 3x- 5

3x + 5 = 3x -5

-3x          -3x

       5 ≠ 5  

The student council at Clarksville High School is making T-shirts to sell for a fundraiser, at a price of $10 apiece. The costs, meanwhile, are $8 per shirt, plus a setup fee of $98. Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?

Answers

Answer:

Costs are $490

49 shirts are sold

Step-by-step explanation:

98 + 8x = 10x

98 = 2x

49 = x

98 + 8(49) = $490 in costs

49 shirts sold

please help quickly !

Answers

Answer:

16.5x = 465.3

Step-by-step explanation:

The distance traveled is equal to the gallons time the miles per gallon

465.3 = 16.5 * x where x is the miles per gallon

16.5x = 465.3

If f(x) = 2(x)2 + 5v(x+2), complete the following statement (round your answer to the nearest hundredth

Answers

Answer:

2

Step-by-step explanation:

1+1

PLEASE SOMEONE HELP ME I NEED SOMEONES HELP ASAP!!!!!!!!PLEASE IM BEGGING YOU SO MUCH PLEASE!!!!!

Suppose a family pays $29.99 for dinner . They leave a 15% tip. Find both the tip and the total price of the meal. Round your answers to the nearest cent.

Show your work below:
Tip = $15.20
Total = $45.20

Tip = $9.40
Total = $24.56

Tip = $1.10
Total = $31.10

Tip = $4.50
Total = $34.50

Answers

Answer:

Tip = $4.50

Total = $34.50

Step-by-step explanation:

Multiply 29.99 by .15 to find the tip.

Then add the tip to the original number.

Solve for x
6(x - 1) = 9(x + 2)
O x= -8
O x= -3
0 x = 3
0 x = 8​

Answers

Answer:

[tex]A.x=-8[/tex]

Step-by-step explanation:

6x-6=9x+18
6x-9x=18+6
-3x=24
x=-8

sheena is shocking a shelf with bags of flour that weigh 5 1/4 pounds each if sheena stocks the shelf with 13 bags of flour find the combined weight of 13 bags

Answers

Answer:

[tex]68\frac{1}{4}[/tex] pounds

Step-by-step explanation:

The combined weight of 13 bags is 13 multiplied by the weight of each bag.

The weight of each bag is [tex]5\frac{1}{4}[/tex] pounds. Therefore, the weight of 13 bags is:

[tex]5\frac{1}{4} * 13\\ \\= \frac{21}{4} * 13\\[/tex]

[tex]= 68\frac{1}{4}[/tex] pounds

Which expression has a value of
8
- ?
15

Answers

It is 15 the answer

Answer:

15

Step-by-step explanation:

Sin (7 pi/6) = ____?? Help

Answers

Answer:

-0.5 or -1/2 or A

Step-by-step explanation:

180 degrees is Pi radians.  To find out what the measure is in the paranthesees, divide 180 by 6 and get 30.  Now multiply it by 7 to get 210.  The question is asking for the sin(210).  The sin of 210 is -0.5

This is super confusing! Can someone plz explain? I'm giving more points!

Answers

Answer:

a ) Increased by 100 %, b ) Increased by 50 %, c ) Decreased by 33 and 1/3 %, d ) Decrease by 50 %, e ) Increased by 200 %, f  ) 66 and 2 / 3 %

Step-by-step explanation:

See steps below;

[tex]a ) Percent Increase from 1 - 2 ;\\starting value - 1, end value - 2 ;\\2 - 1 = Increase by 1,\\1 / 1 - Solution; Increase by 100 percent[/tex]          

 

[tex]b ) Percent Increase from 2 - 3 ;\\starting value - 2, end value - 3,\\3 - 2 = Increase by 1,\\1 / 2 - Solution; Increase by 50 percent[/tex]

[tex]c ) Percent Decrease from 3 - 2 ;\\starting value - 3, end value - 2,\\3 - 2 = Increase by 1,\\1 / 3 - Solution; Decrease by 33 and 1 / 3 percent[/tex]

[tex]d ) Percent Decrease from 2 - 1 ;\\starting value - 2, end value - 1,\\2 - 1 = Decrease by 1,\\1 / 2 - Solution ; Decrease by 50 percent[/tex]

[tex]e ) Percent Increase from 1 - 3 ;\\starting value - 1 , end value - 3,\\3 - 1 = Increase by 2,\\2 / 1 - Solution ; Increase by 200 percent[/tex]

[tex]f ) Percent Decrease from 3 - 1;\\starting value - 3, end value - 1,\\3 - 1 = Decrease by 2,\\2 / 3 - Solution ; Decrease by 66 and 2 / 3 percent[/tex]

Solution; a ) Increased by 100 %, b ) Increased by 50 %, c ) Decreased by 33 and 1/3 %, d ) Decrease by 50 %, e ) Increased by 200 %, f ) Decrease by 66 and 2 / 3 %

If f(x)= 3x^2-2x+4.and g(x)= 5x^2 +6x -8find(f-g)(x)

Answers

Answer:

-2x^2-8x+12

Step-by-step explanation:

f(x)= 3x^2-2x+4

g(x)= 5x^2 +6x -8

(f-g)(x) =  3x^2-2x+4-(5x^2 +6x -8)

Distribute the minus sign

(f-g)(x) =  3x^2-2x+4-5x^2 -6x +8

Combine like terms

-2x^2-8x+12

Suppose that for some function g,
g(x+4)= 7x + 2. Find g(-3).
Help i don’t understand

Answers

7(-3)
-21
-21 + 2
-19

A gym’s membership in 2010 was 8,700. Now, it is 6,400. Which expression equals the percent of change?

Answers

Answer is A.


Thank me later lol

find the nth term of this sequences
20,18,16,14

Answers

Answer:

12

Step-by-step explanation:

This would be the 5th term in the sequence.

Numbers are decreasing by two

Hope this helps!

Answer:

12 would be the 5th term

Other Questions
ASAP WILL MARK BRAINLIEST AND 20 POINTSWhat is meant by the term The Law and how was it written? = 6x - b3 +1/2y= -3 What is the sum of the interior angles in this shape? Which of these changes occurs near the end of the third trimester of fetaldevelopment?A. All parts of the eyes begin to develop,B. The sex of the fetus becomes obvious.OC. The fetus moves to a head-down position,O D. All cells finish differentiating. Which statement best explains why, during the 1800s, manufacturers resisted workers demands for higher wages and safer workplaces?Manufacturers had already spent money on training their workers.Manufacturers were afraid workers would make additional demands.Manufacturers knew their workforce would have to become smaller.Manufacturers knew their companies would become less profitable. Susanna is buying lunch for her friends at a restaurant the bill is $50 and she wants to leave an 18% tip P equal the total amount of Suzanne is P which equation can you use to find P Which of the following sentences is from an autobiography? Mrs. Beardsley was famous for her hospitality. Jake knew what he had to do. Cheryl Day had a wonderful sense of humor. I loved to go dancing with my friends. UN NUMERO SE PUEDE ESCRIBIR COMO 2 POR 2 POR 3 POR 5.SI MULTIPLICAS ESTE NUMERO POR 6,CUAL SERA SU FACTORIZACION EN PRIMOS?Y SI LO MULTIPLICAS POR 8? solve 8x+6=5(x+1)+2please help me with this Answer fast i have timer Urgent! Please help me with this fast! I am confused... Which court case did NOT have a ruling that helped journalists? A. Hazelwood School District v. Kuhlmeier B. Branzburg v. Hayes C. New York Times Co. v. United States D. All of the above Rachelle is watching a bug crawl toward her on a sidewalk. As the bug gets closer to her, she stomps her foot to startle the bug, which becomes stationary for some time and then crawls away from her quickly. The graph shows the bug's distance from Rachelle. What is the range of the graph?please help this depends on my grade Nicole and Anthony have been together for about six months. Nicole has decided she wants to remain abstinent until she gets married. Anthony has not vowed to stay abstinent, but he supports Nicoles decision and does not pressure her to have sexual intercourse. Recently though, Anthony has been hinting to Nicole that they should engage in other sexual activities. Nicole is considering this because she would still maintain her virginity. She also believes it might make their relationship stronger. Gina is a friend of Nicole's. What advice should Gina give Nicole? Check all that apply. You can still contract STDs even if youre not engaging in sexual intercourse. Is this something youve discussed with Anthony and are ready to do? Anthony wont respect you if you dont eventually have sex with him. If you think its a good idea, go for it. Being abstinent means avoiding all sexual activities, not just sex. A 15cm long cube made of Oak and of side floatsin water 10.5 cm of its depth below the surfaceand with its sides vertical what is the densityof cube. of Water = 1000 kg m-3 ans 7ooR g/m 3density Need this answer quick in the next 10 minutes Solve for x in the diagram below. Explain why hormones are able to travel through the body but only affect certain cells. is sin 30 = 0.5, then sin-1 0.5 =30 ________1. The part of a photosystem that absorb light energy is its:A. Thylakoid lumen C. Reaction centerB. Pigment building protein D. Antenna complexes Which equation represents the linear function that is shown on the graph below?y = one-half x + 4y = one-half x minus 2y = 4 x minus 2y = negative 2 x + 4