At 4 PM, the level of the water in the lake was 10 feet. At 8 PM, the level of the water was 2 feet. Determine the constant rate of change of the water.

Answers

Answer 1

Answer:

[tex]-4\ \text{feet/hour}[/tex]

Step-by-step explanation:

Level of water at 4 PM is 10 feet.

Level of water at 8 PM is 2 feet.

Time duration in which water level is measured is [tex]8-4=4\ \text{hours}[/tex]

The change of the level of water in the given time duration is [tex]2-10=-8\ \text{feet}[/tex]

The rate of change would be

[tex]R=\dfrac{-8}{4}=-4\ \text{feet/hour}[/tex]

The constant rate of change of the water is [tex]-4\ \text{feet/hour}[/tex].

The minus sign indicates that the water level is reducing.


Related Questions

-5p + 3.5 = 8.5 solve for p

Answers

Answer:

p= -1

Step-by-step explanation:

-1....................

A bowl contains blueberries and strawberries. There are a total of 48 berries in the bowl. The ratio of blueberries to strawberries is 9 to 3. How many of each berry are in the bowl?


















































A bowl contains blueberries and strawberries. There are a total of 20 berries in the bowl. The ratio of blueberries to strawberries is 4 : 1. How many of each berry are in the bowl?

Answers

Answer:

a. 36 blueberries and 12 strawberries

b. 16 blueberries and 4 strawberries

Step-by-step explanation:

The computation of each berry in the bowl is shown below;

a. Total 48 berries

The Ratio of blueberries to strawberries is 9:3

So, the blueberries is = 48 × 9 ÷ (9  + 3) = 36

And, the strawberries is = 48 × 3 ÷ (9 + 3) = 12

b. Total 20 berries

The Ratio of blueberries to strawberries is 4:1

So, the blueberries is = 20 × 4 ÷ (4 + 1) = 16

And, the strawberries is = 20 × 1 ÷ (4 + 1) = 4

Answer:

Step-by-step explanation:a. 36 blueberries and 12 strawberries

b. 16 blueberries and 4 strawberries

Step-by-step explanation:

The computation of each berry in the bowl is shown below;

a. Total 48 berries

The Ratio of blueberries to strawberries is 9:3

So, the blueberries is = 48 × 9 ÷ (9  + 3) = 36

And, the strawberries is = 48 × 3 ÷ (9 + 3) = 12

b. Total 20 berries

The Ratio of blueberries to strawberries is 4:1

So, the blueberries is = 20 × 4 ÷ (4 + 1) = 16

And, the strawberries is = 20 × 1 ÷ (4 + 1) = 4

what is the surface area of this rectangle prison of 6 9 4

Answers

Answer:

You need to be specific on which is the length, height and width. Making the most basic assumption I would have to assume the answer is 228

Step-by-step explanation:

Formula for the surface area of a rectangular prism is A=2(wl+hl+hw)

A = 2 x (9 x 6 + 4 x 6 + 4 x 9)

A = 2 x (54 + 24 + 36)

A = 2 (114)

A = 228

help is due tomorrow morning ​

Answers

Answer:

5) vertical angles: FGH, KGJ

adjacent angles: FGH, FGK

6) vertical angles: LMS, PMQ

adjacent angles: NML, NMR

Can someone plz help me with this one problem plz!!!

Answers

Answer:

alam nyo BA ANG sagot dito?

Step-by-step explanation:

haha sino may alam?

3a²b3(-4b3 + 2b2a - 7) =

Answers

Answer:

the answer is =6a^3b^5−12a^2b^6−21a^2b^3

Step-by-step explanation:

hoped I helped:)

PLS HELP I WILL DO ANYTHING

Answers

Answer:

the solution for x is x=40

A farmer is creating a budget for planting soybeans and wheat. Planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more than $100,000 planting soybeans and wheat. Name ONE SOLUTION to the inequality you wrote above.

inequality is (300,900)​

Answers

Answer:

200? if not right ill delete my answer

Step-by-step explanation:

Please help and show your work!!
Factor the following
[tex]3x^{2} -4x-7[/tex]

Answers

Answer:

[tex] \sf \huge \boxed{ \boxed{(3x - 7)(x + 1)}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:factoringPEMDASlet's solve:[tex] \sf \: rewrite \: - 4x \: as \: 3x - 7 x: \\ \sf {3x}^{2} + 3x - 7x - 7[/tex][tex] \sf factor \: out \: 3x: \\ \sf3x( x + 1) - 7x - 7[/tex][tex] \sf factor \: out \: - 7: \\ \sf3x( x + 1) - 7(x + 1)[/tex][tex] \sf \: group : \\ (3x - 7)(x + 1)[/tex]

and we are done!

Explanation:

1.) Use the sum-pruduct pattern

3x^2-4x-7

3x^2+3x-7x -7

Common factor from two pairs

3x^2 +3x-7x-7

3x(x+1) - 7(x+1

Rewrite in factored form

3x(x+1) - 7(x+1)

(3x-7) (x+1)

Answer:

(3x-7)(x+1) I know we both have the same answer

At a party, James notices that 15 pitchers of lemonade are filled to the same level, but not to the top. He combines all the lemonade to fill six whole pitchers. What fraction of each of the 15 pitchers was full?

Answers

Answer:

1/6th of them

Step-by-step explanation:

9. The circle on a wrestling mat has a diameter of 32 feet. What is
the area?

Answers

Answer:

the area is 804.25 feet

formula πr^2

Rewrite the expression in the form 6^n 6^-6/6^-5

Answers

Answer:

6^-1

Step-by-step explanation:

6^-6 - (-5) = 6^(-6 + 5) = 6^(-1)

A lot of things are going on in this question. Notice how the 5 is handled. It starts off in the denominator as - 5 and when brought to the numerator it becomes -(-5) which makes it + 5.

The answer is then easy. It is 6^(-6 + 5) = 6^-1

You could give the answer as 1/6 but that is not what the question says.

Josh is hiking Glacier National Park. He has now hiked a total 17 km and is 2
km short of being 1/2 of the way done with his hike. Which equation should
be used to determine the total length in kilometers (h) of Josh's hike? *
A) (2 x 17) +2 = h
B)17+ 2 = h
C) 2(17+ 2) = h
D) 17+ 2 = 2h

Answers

i believe its letter c

On a school trip, there are 4 buses to carry 96 students. How many students are there in each bus?

Answers

Answer:

There would be 24 students on each bus.

Step-by-step explanation:

I just did 4 divided by 96:)

An ice cube tray has 12 sections. Each section has the shape of a 3 m cube. What is the volume of water used to fill the tray?

Answers

Answer:

324 m³

Step-by-step explanation:

each cube = 3x3x3 = 27 m³

27 m³ 12 = 324 m³

need help ASAP
A marine biologist earns $21.75 per hour. If she works 40 hours a week for 52 weeks a year, how much could she earn after 15 years?

Answers

Answer:

Step-by-step explanation:

EARNINGS FOR YEARS  =  PAY RATE/HOUR  * HOURS/WEEKS *     WEEKS/YEAR * YEARS

EARNINGS FOR 15 YEARS = 21.75/hour * 40 hours/week * 52 weeks/year * 15 years

Earnings = $678,600

How do you solve for x in the equation (2x - 3)/5 = (x + 1)/6?

Answers

Answer:

x= 23 /7

Step-by-step explanation:

The answer is 10/3=3.333333


Explaination:
(2x-3)/5=(x+1)/6 -> add 3 on both sides
2x /5=(x+4)/6 -> subtract x from both sides
x/5=4/6 -> divide 4 by 6
x/5= 2/3 -> multiply by 5 on both sides
x= 10/3 ~ 3.33333

How much paint is needed to cover a floor that is 8 meters by
10 meters?

Answers

Answer:

enough to paint an area = 80 m²

Step-by-step explanation:

area = 8 x 10 = 80 m²

The point (17,−9) is translated to the point (6,2). Select the description of the translation.


A

9 down, 7 right.

B

11 left, 11 up

C

9 right, 11 up

D

11 left, 9 down plzzz answer..

Answers

Answer:

11 up , 11 left

Step-by-step explanation:

Given

[tex](17, -9)[/tex] to [tex](6,2)[/tex]

Required

Determine the translation rule

Considering the x coordinates.

From 17 to 6

6 is to the left of 17.

Using the translation rule:

[tex]x = x' + b[/tex]

[tex]17 = 6 + b[/tex]

[tex]17 - 6 = b[/tex]

[tex]11 = b[/tex]

[tex]b = 11[/tex]

Hence: From 17 to 6 is 11 units left translation

Considering the y coordinates.

From -9 to 2

2 is at the top -9.

Using the translation rule:

[tex]y = y' + b[/tex]

[tex]-9 = 2 + b[/tex]

[tex]-9 - 2 = b[/tex]

[tex]-11= b[/tex]

[tex]b = -11[/tex]

The negative value impies a upward translation.

Hence: From -9 to 2 is 11 units up translation

Name the x- and y-intercepts for the line representing the possible numbers of yodelers and xylophones.
Where do the graphs intersect each other?

Answers

Answer:

wow howw

Step-by-step explanation:

8.4 x 100 x 2 = (8.4 x 2) x 10(3-2)

Answers

it might be that. I hope that helps you

Kareem received $50 during his birthday. In addition, he saves $10 each week. Which equation can help find w, the number of weeks it will take Kareem to save a total of $200?

Answers

10w+50=200
then to solve-
subtract 50 from both sides so now it’s 10w=150
then divide the 10 from both sides to get w alone
and you should get w=15

Answer: 50+10w=200    w=15

Step-by-step explanation:

So we know that Kareem starts off with $50 and every week he gains an additional $10 so as many weeks it takes to get $150 in addition to the $50 he already has to get $200. so $50+$10w=$200 where w represents the number of weeks it takes until the sum is 200

Solve each equation.

d(d+3)-d(d-4)=9d-16

Answers

Answer:

2d+3d-2d+4d= 9d-16

2d is cancelled

3d+4d=9d-16

7d=9d-16

16=9d-7d

16=2

16/2

d=8

Write the product using exponents.

(−6)⋅(−6)

Answers

Answer:

(-6)(-6)=36

thats th3 answer i got

x
4
4x + 10x+4
a (2n+1)​

Answers

Answer:

1st =14x+4

2nd =2an+a

Step-by-step explanation:

1st Let's simplify step-by-step.

4x+10x+4

Combine Like Terms:

=4x+10x+4

=(4x+10x)+(4)

=14x+4

2nd

a(2n+1)

=(a)(2n+1)

=(a)(2n)+(a)(1)

=2an+a

Hope this helps  :)

PLS BRAINLIEST

The amount of money that Maria had in a savings amount at the beginning of 2018 was $2,750. At the beginning of 2019, the same saving account

Answers

Complete question :

The amount of money that Maria had in a savings account at the beginning of 2018 was $2,750. At the beginning of 2019, the same savings account now had $3,201 in it.

By what percent did Maria’s savings increase from 2018 to 2019? Show the work that leads to your answer and do not round.

Answer:

16.4%

Step-by-step explanation:

Given that:

Amount in 2018 = 2750

Amount in 2019 = 3201

Percentage increase in savings :

[(amount saved in 2019 - Amount saved in 2018) / Amount saved in 2018] * 100%

[(3201 - 2750) / 2750] * 100%

= 451 / 2750 * 100%

= 0.164 * 100%

= 16.4%

Can somebody help me with these. Will Mark brainliest.

Answers

True
False
True
I think
true false true true i believe

What is 190% of 69.70?

Answers

Answer:

[tex]\huge\boxed{132.43}[/tex]

Step-by-step explanation:

= 190 % of 69.70

[% means out of 100 and "of" means to "multiply]

= [tex]\displaystyle \frac{190}{100} * 69.70[/tex]

= 1.9 * 69.70

= 132.43

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

132.43

Step-by-step explanation:

Calculate the percentage of a number.

For example: 190% of 69.70 = 132.43

I need this answer ASAP! Please help!
A ladder is leaning against a building. The ladder forms an angle of 77° with the ground. The distance from the base of the ladder to the base of the building is 8 feet.

Answers

Answer:

Step-by-step explanation:

sin77=h/8

h=8sin77

h=8(0.9744)

h=7.7952ft

someone please help me ASAP!!!!!!!

Answers

Answer:

the change in x is 1, the change in y is 4, the slope is 1/4

Step-by-step explanation:

the time increases by one minutes as the temperature increases by 4 degrees. therefore, every one minutes the temperature increases by four degrees. 1/4

Answer:

1, 4 and 4

Step-by-step explanation:

x = 10-9 = 1

y = 64-60 = 4

Rate of change = temperture / time

= 4/1

= 4.

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