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:

The equation for this function in point slope form: y = -3x+47

Step-by-step explanation:

We are given that a swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour.

Slope is the rate of change per unit represented by m

So, m = -3

General equation : y = mx+c ----1

y represents the depth of water

t represents the time

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

So, y =32 and x =5

Substitute the values in the equation

So,32=-3(5)+c

32=-15+c

32+15=c

47=c

Substitute the value of c and m in 1

So, The equation for this function in point slope form: y = -3x+47


Related Questions

x + 13 = 7x+1
Solve for x and show steps

Answers

x + 13 = 7x+1

Subtract x from both sides:

13 = 6x +1

Subtract 1 from both sides:

12 = 6x

Divide both sides by 6:

x = 2

Answer:

x=2

Step-by-step explanation:

x+13=7x+1

6x=12

x=2

is it possible to make a quadrilateral with any four dots as corners?

Answers

Answer:

Yes it is possible, given with 4 dots, lets say were set anywhere within a page or anywhere upon a circumference of a circle even. We can draw 4 straight lines to meet each corner and call this a quadrilateral.

Step-by-step explanation:

Squares, Rectangles and Rhombuses are all Parallelograms and squares and rectangles are regular quadrilaterals!

So any other 4 sided shape that is quadrilateral could be made.

The picture below shows all branches of quadrilaterals.

Answer:

No

Step-by-step explanation:

No.

For example, if all 4 dots are on a line, then the 4 dots do not make a quadrilateral.

Answer: No

A group of 9 friends went bowling. Each person pays the same amount to bowl several games and a $3 fee to rent shoes. The total cost for the friends to bowl and rent shoes is $162. How much does it cost each friend to bowl ( not counting the shoe rental fee)?

Answers

Answer:

Each friend payed $15

Step-by-step explanation:

( 9 x 3 - 162 ) divide that answer by 9 to get the amount of how much each friend payed.

Find the lowest common denominator

Answers

Answer:

A #1 ( x+2)2 (x-2)2

Step-by-step explanation:

it is the only one that could possibly work

help on this translation, please :)

Answers

Answer:

1) False, the point would get flipped diagonally, to -4, 4.

2) True, the point would get flipped diagonally, to -2, 6

3) False, the point would get flipped diagonally, to -3, 1

4) True, the point would get flipped diagonally, to 5, 2

5) True, the point would get flipped diagonally, to 7, 5

6) False, the point would get flipped diagonally, to -9, 3

7) True, the point would get flipped diagonally, to -5, 4

8) True, the point would get flipped diagonally, to 2, 1

Answer:

1. true

2. false

3. true

4. false

5. false

6. true

7. false

8. false

Step-by-step explanation:

DONT TRUST ME ON THESE ANSWERS CAUSE IM NOT 100% SURE :0

Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply. p ∧ q, p ∨ q, p → q, q → p, p ↔ q, q ↔ p

Answers

Answer: the answer is p v q and q -> p

Step-by-step explanation:

edg 2022

pls help show ALL work

Answers

Answer:

B. 5.81

Step-by-step explanation:

So to get this answer, you'd first find how much square inches are on the cheese. We know its 9/10 of the pizza and the pizza is 215 square inches. To find out what is 9/10 of the pizza you'd multiply 215 by 9 then divide by 10. That'd leave you with 193.5 then you multiply that by the cost $0.03 then get 5.805 which rounds up to 5.81.

could someone help me answer this question?

Answers

Answer:

The answer is A I'm pretty sure

Answer is A.

Hope this helps.

Solve the equation 21 + x = 26

Answers

Answer:

x = 26 - 21 = 5

Answer:

x=5

Step-by-step explanation: Subtract 21 from both sides. x = 5.

For each line, determine weather the slope is positive, negative, zero, or undefined.

Answers

Answer:

Below in bold.

Step-by-step explanation:

A horizontal line has zero slope and a vertical line undefined

In order they are: Zero, undefined, negative positive

Answer: The first one is zero, the second one is undefined, the third one is negative, and the fourth one is positive.

Step-by-step explanation:

What is m∠A? Enter your answer in the box.

Answers

Answer:

∠A is 118 degrees

Step-by-step explanation:

every triangle is 180 degrees

(3x+13) + (x-8) +(x) = 180

simplify

5x + 5 = 180

-5        = -5

5x = 175

175 divided by 5 is 35

so x= 35

∠A= 3(35) + 13

3 times 35 is 105

105 + 13 = 118

so ∠A is 118 degrees

hope this helps!

Name the types of angles shown.
Check all that apply.

Answers

Answer:

Here you go!

Step-by-step explanation:

There is a 90 degree angle,

An obtuse angle

And an acute angle

Right angle (EFH)

Acute angle(GFH)

Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the x-intercept.

State the Domain and Range for this equation in the context of the problem scenario?

Answers

Answer:

x-intercept:   x=24

DOMAIN: (0,24) where x∈Natural Numbers

RANGE: (0,12) where y∈Natural Numbers

Step-by-step explanation:

Remain money = y

Number of games = x

Given function:

[tex]y=12-0.5x\\[/tex]

x-intercept:

x-intecept is the value of x where y becomes zero.

Substitute y=0 in the given equation:

[tex]0=12-0.5x\\0.5x=12\\x=\frac{12}{0.5}\\x=24[/tex]

Domain:

Domain is a set of all possible values of x.

x= No. of games (So x cannot be negative)

y= Remain Amount (So y cannot be negative)

So the minimum value of x is 0 because x cannot be negative.

Maximum value of x is the value for which y doesn't become negative. For any value of x>24, y <0 which is not possible.

So maximum value of x is 24

DOMAIN: (0,24) where x∈Natural Numbers

Range:

Range is a set of all outcomes of y for all possible values of x.

For x=0 , y =12

for x=24 , y = 0

So

RANGE: (0,12) where y∈Natural Numbers

The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates. Eight of the candidates are members of the debate team.
​(a) What is the probability that all of the offices are filled by members of the debate​ team?
​(b) What is the probability that none of the offices are filled by members of the debate​ team?

Answers

Answer:

The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Step-by-step explanation:

The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates.

So, Number of candidates required = 4

Total number of candidates = 15

Number of candidates which are members of the debate team. = 8

So, Number of candidates which are not the members of the debate team = 15-8 =7

The probability that all of the offices are filled by members of the debate​ team = [tex]\frac{^8C_4}{^{15}C_4}=\frac{\frac{8!}{4!\left(8-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0512[/tex]

The probability that none of the offices are filled by members of the debate​ team=[tex]\frac{^7C_4}{^{15}C_4}=\frac{\frac{7!}{4!\left(7-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0256[/tex]

Hence The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

PLEASE HELP! WILL MARK BRAINLIEST!!

A bag has 4 red marbles, 12 blue marbles and 6 yellow marbles. What is the probability of picking a yellow marble, replacing it, and then picking a blue marble?

1/18
18/121
55/22
22/131

In a bag of marbles, you have 4 green, 3 yellow, 5 blue, and 8 red marbles. What is the probability of picking a blue marble from the bag?
3/20
1/5
1/10
1/4

Answers

Answer:

18/121

1/4

(not 100% sure)

The probability of rain for the day of the race is 62%.

(a) What is the probability that it does not rain on the day
of the race?
Runners who complete the race in 2 hours 15 minutes or less
get a gold medal.
Bradley completed the race in 2 hours 13 minutes 22 seconds.

(b) Work out the difference between 2 hours 15 minutes,
and 2 hours 13 minutes 22 seconds.

Answers

a) 100%-62%=38%

b) 2h 15m- 2h 13m 22s= 15m- 13m 22s= (14m- 13m)+ (1m- 22s)= 1m+ 38s= 1m 38s

(6x⁴+11x²+9)+(3x²-x⁴-8) please help

Answers

Answer:

5x^4+14x^2+1

Step-by-step explanation:

Hope that helps

A photograph measures 8 1/2 inches by 5 3/4 inches. Find its area.

Answers

Answer:

48 7/8

I hope this helps.

Answer:

Step-by-step explanation:

48 7/8

Over the last 5 years, a corporation's debt grew by $ 4 , 253 , 335 . Calculate the average rate at which the company's debt was growing in cents per second. Round your answer to the nearest hundredth if necessary. (For the purposes of this calculation, use 365 days/year.)

Answers

Answer:

$.03 per second

Step-by-step explanation:

Take the debt and divide by  the number of years

4 , 253 , 335 /5

850667 per day

The divide by how many days in a year

850667/365

2330.594521 per day

Then divide by 24 hours in a day

2330.594521 /24

97.10810502 per hour

Then divide by 60 minutes in an hour

97.10810502/60

1.618468417 per minute

The divide by 60 seconds  in an hour

1.618468417/60

.026974474 per second

$.03 per second

Which equation represents h(x)?

Answers

Answer: The second choice: h(x) = (f(x))(g(x))

Step-by-step explanation:

f(x) = -15

g(x) = 15

h(x) = -225

-15 * 15 = -225

Therefore, h(x) is the distribution of f(x) and g(x).

Pls help me it’s emergency

Answers

2x + 2x +x = 5x
100% divided by 5x = 20%
x = 20%

A) 20%
B) blue

It’s blue because 2x is more than x giving it a higher probability

What is the equation of the line that is parallel to the given
line and passes through the point (-3, 2)?
3x - 4y = -17
O 3x - 4y = -20
4x + 3y = -2
O 4x + 3y = -6

Answers

Answer:

Step-by-step explanation:

is the given line  3x - 4y = -17?

then,

- 4y = -3x -17

y=(3/4)x+17/4

it is parallel, so slope of our line is 3/4 or 0.75

y=0.75x+b

next, lets plug in the given point to get the y-int

2=0.75*(-3)+b

2=-2.25+b

b-2.25=2

b=4.25

the equation is y=0.75x+4.25

does this clear anything, or am I off topic? please tell me I will help you

The equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]

Slope-intercept form of line :

The given equation of line is,

                            [tex]3x-4y=-17\\\\4y=3x+17\\\\y=\frac{3}{4} x+\frac{17}{4}[/tex]

Compare above equation with [tex]y=mx+c[/tex]

Slope of given line [tex]m=\frac{3}{4}[/tex]

Since, the slope of all parallel lines are same.

So that, slope of required line is also [tex]\frac{3}{4}[/tex]

The equation of line is, [tex]y=\frac{3}{4}x+c\\[/tex]

Substitute point [tex](-3,2)[/tex] in above equation.

                   [tex]2=\frac{3}{4}(-3)+c\\\\\\c=2+\frac{9}{4} =\frac{17}{4}[/tex]

Substitute  value of c in equation of line.

       [tex]y=\frac{3}{4}x+\frac{17}{4} \\\\\\[/tex]

Thus, the equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]

Learn more about the equation of line here:

https://brainly.com/question/18831322

Order the expressions from the least to the greatest
-2, -2.2, 5, 2, 2.2, -5

Answers

Answer:

-5, -2.2, -2, 2, 2.2, 5

Step-by-step explanation:

-5

-2.2

-2

2

2.2

5

Answer:

-5

-2.2

-2

2

2.2

5

Helpppppppp. Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has no oil and the test shows that it has oil? A. 0.09 B. 0.11 C. 0.36 D. 0.44

Answers

Answer:

Jason Inherit a land with a 45% chance of having oil.

Step-by-step explanation:

 The probability of the land having oil is = P ( O) = 45 /100

The probability of the land having oil is= Q(O ) =55/100

The machine has an accuracy of 80%. This suggests that 8 out of 10 times the machine will give a wrong reading.

The probability of the correct reading is=  P(M)=80/100

The probability of the incorrect reading is=Q(M)=20/100

The case when the machine predicts there is no oil and there is indeed oil can be calculated:Probability=Probability of oil present  ×  probability of the incorrect reading

Probability=P(O) x Q(M)

Probability=45/100 x 20/100

Probability=9/100

The probability of the test predicting no oil in land and the land has oil is  0.09 or 9%

Please answer!!! i’m trynna pass

Answers

Answer:

-6 ≤y≤9

Step-by-step explanation:

The range is the values for the outputs

The range is from -6 inclusive to 9 inclusive

-6 ≤y≤9

What additional information is needed to determine that ΔABC ≅ ΔEDC using the HL method of congruence? answers: A) ≅ B) No additional information is needed. C) ≅ D) ∠ACB ≅ ∠ECD

Answers

Answer:

AC congruent to EC

Step-by-step explanation:

This problem is asking specifically to prove triangles congruent using HL.

HL is a method of proving triangles congruent. HL stands for Hypotenuse-Leg. If you can show that the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg, respectively, of another triangle, then the triangles are congruent.

Looking at triangle ABC and EDC, we see that the legs AB and ED are congruent. We already have a pair of corresponding congruent legs. Now we need a pair of hypotenuses.

You need AC congruent to EC.

Answer:

AC congruent to EC

Step-by-step explanation: I took the test

Which excerpt best displays the function of narrative structure in Monster? The best time to cry is at night, when the lights are out and someone is screaming for help. The guy who was hit they made sit at the table while they waited for another guard to bring them rubber gloves. Sometimes the camera moves in so close that you can’t tell what is going on and you guys listen to the sounds and guess. I think to get used to this I will have to give up what I think is real and take up something else.

Answers

Answer:

I think to get used to this I will have to give up what I think is real and take up something else.

Explanation:

The crime novel Monster by Walter Dean Myers tells the story from the point of view of the prime protagonist Steve Harmon through his diary form of writing about his life in prison. Though there is also the omniscient third-person narrator at times, the narration mostly takes place through the voice of Steve Harmon.

The narrative structure of any plot of a story is the order or manner in which the narration of the story takes place/ is done. It may include character, plot, conflict, setting and resolution. And in this particular text/ novel, the function of the narrative structure is best displayed in the line spoken by Harmon, "I think to get used to this I will have to give up what I think is real and take up something else".

Answer:

I think to get used to this I will have to give up what I think is real and take up something else.

Step-by-step explanation:

What is the median of the data
represented in the box plot below?
25
35
45
55

Answers

Answer:

40

Step-by-step explanation:

-To find the median with an odd set of numbers

put the numbers in chronological orderfind the number in the middle and that is your answer

-To find the median with a even set of numbers

put the numbers in chronological orderfind the average of two numbers in the middle (to do so:add the 2 numbers in the middledivide that number by 2and that's your answer

CAN SOMEONE HELP OVER HERE LOL PLEASE HELPPPPP Solve the inequality. -3/4y less than 9. The solution set is ?

Answers

Answer: y<-12

Step-by-step explanation:

[tex]-\frac{3}{4}y>9[/tex] is our einequality we are given. To solve, we want to get x alone. We would have to multiply both sides by -4/3.

[tex]y>-12[/tex]

You may thing this is the answer, but it is very close. When you multiply or divide by a negative number, you flip the sign. Therefore, the answer is [tex]y<-12[/tex].

Help ASAP ❤️❤️❤️!!!!!!!!!!

Answers

Answer:

17.7 and 4.09

Step-by-step explanation:

Using the sine ratio in both right triangles

(49)

sin43° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{a}{26}[/tex] ( multiply both sides by 26 )

26 × sin43° = a, thus

a ≈ 17.7 ( to 1 dec. place )

----------------------------------------

(50)

sin43° = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 )

6 × sin43° = a , thus

a ≈ 4.09 ( to 2 dec. places )

Other Questions
What is the solution to the system of equations graphed below?y= 3/2x+2y=-6x+ 32 Someone help me with this What are the resulting vertices of triangle EFG after rotating triangle EFG 180 about the origin? answers: A) E (3, 1), F (1, 2), G(1, 4) B) E (3, 1), F (2, 1), G(1, 4) C) E (1, 3), F (2, 1), G(1, 4) D) E (3, 1), F (2, 1), G(4, 1) work out the length of the container. Giver your answer to the nearest whole centimetre.Dennis is making a container for tomato plant. The container will be in the shape of a cuboid.missing length ? 40cm by 55cm.The capacity of the container will be 180 litres.1 Litre =1000cm cuboid. The air flowing over the top of the wing travelsin the same amount of time than the airflowing beneath the wing. Two parallel, vertical, plane mirrors, 38.8 cm apart, face each other. A light source at point P is 30.1 cm from the mirror on the left and 8.7 cm from the mirror on the right.(a) How many images of point P are formed by the mirrors? (b) Find the distance from the mirror on the right to the two nearest images behind the mirror. first nearest image= second nearest image= (c) Find the number of reflections of light rays for each of these images. first nearest image= second nearest image= The substances nitrogen monoxide and hydrogen gas react to form nitrogen gas and water. Unbalanced equation: NO (g) + H2 (g) N2 (g) + H2O (l) In one reaction, 76.2 g of H2O is produced. What amount (in mol) of H2 was consumed? What mass (in grams) of N2 is produced? All of the following are characteristics of a dictatorship EXCEPT: What do eukaryotes cells have that prokaryotes do not have Sally makes deposits into a retirement account every year from the age of 30 until she retires at age 65. a) If Sally deposits $ 1100$1100 per year and the account earns interest at a rate of 9 %9% per year, compounded annually, how much does she have in the account when she retires? b) How much of that total amount is from Sally's deposits? How much is interest? Which of these is a compound sentence?A.The Herald, a prominent newspaper, had been in business for more than 100 years.B.At first its circulation was only 500 papers daily,C.However, circulation grew and grew, reaching 100,000 papers by 1998.D.Then, people began reading the news online, circulation fell, and the paper folded.ocod What is the solution for x in the equation? 4x 3 + 5 = 2x + 7 8x On July 1, Year 1, Danzer Industries Inc. issued $40,000,000 of 10-year, 7% bonds at a market (effective) interest rate of 8%, receiving cash of $37,282,062. Interest on the bonds is payable semiannually on December 31 and June 30. The fiscal year of the company is the calendar year.Required:1. Journalize the entry to record the amount of cash proceeds from the issuance of the bonds on July 1, Year 1.2. Journalize the entries to record the following:*A. The first semiannual interest payment on December 31, Year 1, and the amortization of the bond discount, using the straight-line method.B. The interest payment on June 30, Year 2, and the amortization of the bond discount, using the straight-line method. 3. Determine the total interest expense for Year 1.4. Will the bond proceeds always be less than the face amount of the bonds when the contract rate is less than the market rate of interest?5. Compute the price of $37,282,062 received for the bonds by using the present value tables f (x) = x + 10x + 24.Help plzz !! Minstrel Manufacturing uses a job order costing system. During one month, Minstrel purchased $201,000 of raw materials on credit; issued materials to production of $198,000 of which $27,000 were indirect. Minstrel incurred a factory payroll of $153,000, of which $37,000 was indirect labor. Minstrel uses a predetermined overhead application rate of 150% of direct labor cost. If Minstrel incurred total overhead costs of $180,000 during the month, compute the amount of under- or overapplied overhead: Statement of Cash Flows A summary of cash flows for Paradise Travel Service for the year ended May 31, 2018, follows: Cash receipts: Cash received from customers $880,000 Cash received from issuing common stock 40,000 Cash payments: Cash paid for operating expenses 758,000 Cash paid for land 150,000 Cash paid as dividends 10,000 The cash balance as of June 1, 2017, was $50,000. Prepare a statement of cash flows for Paradise Travel Service for the year ended May 31, 2018. Use the minus sign to indicate cash outflows, cash payments and decreases in cash. Paradise Travel Service Statement of Cash Flows For the Year Ended May 31, 2018 Cash flows from operating activities: Cash received from customers $ 880,000 Cash payments for operating expenses 758,000 $ Cash flows used for investing activities: Cash flows from financing activities: $ $ Cash as of June 1, 2017 Cash as of May 31, 2018 $ 59:52Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end? Need help with this please What part of a sentence can stand by itself? Someone please helpp me out thanks !