The level of water in a draining pool can be modeled with the function d(t)= 12 (.72) ^ t, where d is the depth of water, measured in feet, and t is the amount of time it’s been draining, measure in days.

Calculate the average rate of change for 0 greater or equal to t and 4 is greater or equal to t.

Answers

Answer 1

Answer:

[tex]\approx[/tex] -2.195

Step-by-step explanation:

Given the function:

[tex]d(t)= 12 (.72) ^ t[/tex]

[tex]d[/tex] is the depth of water in feet and

[tex]t[/tex] is the amount of time

To find:

The average rate of change for [tex]t[/tex] in the interval [0, 4].

Solution:

The required rate of change in the time interval [0, 4] can be represented as:

Change in the function over the interval [0, 4] and the change in the interval.

OR

[tex]\Rightarrow \dfrac{d(4)-d(0)}{4-0}\\\Rightarrow \dfrac{12 (.72) ^ 4-12 (.72) ^ 0}{4-0}\\\Rightarrow \dfrac{3.22-12 \times 1}{4}\\\Rightarrow \dfrac{3.22-12}{4}\\\Rightarrow \dfrac{-8.78}{4}\\\Rightarrow \bold{-2.195}[/tex]


Related Questions

you can walk 1 1/2 miles in 1/2 hour. what is your average speed?

Answers

Answer:

3mph

Step-by-step explanation:

Depending how far you're traveling and how fast you traveled. When doing speed you typically do it by hours and the unit will be miles per hour (mph).

1. 1.5 mi=0.5 hr

2. Multiple 0.5 by 2 to get one hour, and do the same to the other side

2(1.5)=2(0.5)

3. 3mi=1hr

4. The answer is 3mph

Find the exact length of the third side.
10
6
PLEASE HELP GUH

Answers

Answer:

8

Step-by-step explanation:

I'm using this equation: a^2+b^2=c^2

x^2+6^2=10^2

x^2+36+100

x^2= 64

x=sqrt64

x=8

A baseball player got 61 hits one season. He got h of the hits in one game. What expression represents the number of hits he got in the rest of the​ games? The player had nothing hits in the rest of the games.

Answers

Answer:

[tex](61-h)[/tex]

Step-by-step explanation:

Total number of hits by baseball player in one season = 61

Number of hits in one game = [tex]h[/tex]

To find:

The expression to represent the number of hits that the player got in the rest of the games = ?

Solution:

Number of hits that the player got in one game = [tex]h[/tex]

Let the number of hits that the player got in rest of the games = [tex]x[/tex]

As per the given question statement,

The sum of [tex]h[/tex] and [tex]x[/tex] will be equal to 61.

[tex]h+x=61\\\Rightarrow \bold{x =61-h}[/tex]

Therefore, the player had [tex](61-h)[/tex] hits in the rest of the games.

Asha borrowed Rs.24000 from a moneylender at a rate of 4% per annum compounded semi annually ,what payment will she have to make after 1year and 6 months to the moneylender to clear her debt ?

Answers

Answer:

Rs. 25,468.8

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

P = principal = RS. 24,000

r = interest rate = 4%= 0.04

n = number of periods = 2

t = years = 1 year and 6 months = 1.5 years

A = p(1 + r/n)^nt

= 24,000(1 + 0.04/2)^2*1.5

= 24,000(1 + 0.02)^3

= 24,000(1.02)^3

= 24,000( 1.0612)

= 25,468.8

A = Rs. 25,468.8

I need help on this problem ​

Answers

Answer:

y² - 2y - 4x + 9 = 0 (*)

a = 1    b = -2    c = -4x + 9

Δ = b² - 4ac = 4 - 4(9 - 4x) = 4 - 36 + 16x = 16x - 32

if (*) have the solutions => Δ ≥ 0

⇔ 16x - 32 ≥ 0 ⇔ x ≥ 2

with x ≥ 2 => y = [tex]\frac{2+\sqrt{16x-32} }{2}=\frac{2+4\sqrt{x-2} }{2}=1+2\sqrt{x-2}[/tex]

or y = [tex]1-2\sqrt{x-2}[/tex]

Step-by-step explanation:

Need help will mark brainliest

Answers

Answer:

64

Step-by-step explanation:

180-52/2=128/2=64

The angle would be 64 degrees because it’s an isosceles triangle

n/56 divided by 3/24

Answers

Answer:

n/56 divided by 3/24 would be 1/7n

Step-by-step explanation:

what he/she said :’)

help me plz with algebra!!!

Answers

Answer:

Y= -12

Step-by-step explanation:

Arjun sells handmade ceramic mugs he Mark's them up by 60% to make a profit they cost $8 in materials how much do this mugs cost after the markup

Answers

Answer:

$12.80

Step-by-step explanation:

Before markup: $8

After markup: $8 x 160% = $12.80

This is a topic on percentage. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I've uploaded this topic's notes and will continue to upload more with tips as well!

3/4 (4x+8)=-12. Distributive property

Answers

Answer:

x = -6

Step-by-step explanation:

I'm assuming you're solving for x

3/4 (4x + 8) = -12

you distribute the 3/4 to 4x and 8 so

3/4 times 4x = 3x

3/4 times 8 = 6

now looks like

3x + 6 = -12

3x = -12 - 6

3x = -18

x = -6

Identify the angles that each have a measure of 88

Answers

Answer: 86 and 4

Step-by-step explanation:

Hopefully this is the right answer!

Answer:

the answer for this question above is 1

Step-by-step explanation:

Describe the process for
graphing the equation
y =-1/2x- 1

Answers

the formula is y=mx+b

m is the slope

b is the y-intercept form

so the -1 is the y-intercept form. so you need to start at that point on the y axis. then the slope which is -1/2 comes into play. in my school we use rise/run. so from the point you marked at -1 you will go down 1 and to the right 2 points then where you stop is your next point (mark it) keep doing that. also go up the other way from the -1 point. go up 1 and to the left 2. then connect all of your points with a line. I hope this helped.

please chose this answer as brainliest

The width of a rectangle is 2 cm less than its length. The perimeter of the rectangle is 16 cm. What are the dimensions of the rectangle?

Answers

Answer:

Width=3 cm

Length=5 cm

Width is 3cm
Length is 5cm

Tiffany buys a basket of watermelons on sale for \$9$9dollar sign, 9 before tax. The sales tax is 9\%9%9, percent.
What is the total price Tiffany pays for the basket of watermelons?
\$\$ dollar sign, space

Answers

Answer:

Tiffany pays a total price of $9.81 for the basket of watermelons

Step-by-step explanation:

Percentages

To increase a certain amount by a given percentage, we can first calculate the increasing amount and then add it to the original amount.

If the price of the basket of watermelons was $9 before tax, and the sales tax is 9%, we first calculate the tax amount to pay:

$9 * 9 / 100 = $0.81

Now we add it to $9 to get the total price paid by Tiffany:

Total price = $9 + $0.81 = $9.81

Tiffany pays a total price of $9.81 for the basket of watermelons

Answer:

9.81 it was confirmed :)

If IN=2x+10 and AT=26, find x.

A.) 12
B.) 10
C.) 6
D.) 8

Answers

The answer would be D.) 8 because...
2(8)+10
16+10=26
Hope this helps!! :)

if you want brainiest than come here

go to remind.com then log in as student then put the class code: c26kda4

Answers

What will happen once we enter that class code?

Which expression does the number line represent?

NA

0

1

4

2

4

3

4

9

5

4

6

4

7

4

4

8

4

ده

9

Save and Exit

Next

Sun

Answers

Answer: D) 9 Over 4 divided by three-fourths

Step-by-step explanation:

The number line shown below is divided into 3 equal parts. To do so the highest number would have to be divided by a number that would give 3 as an answer.

Say that number is x;

x = (9/4) / 3

= 0.75

= 3/4

Number line shows 9 Over 4 divided by three-fourths .

el número de llegadas al servicio de urgencias de un hospital es de 2 cada 15 min. Si se supone que
el numero de llegadas se distribuye en un modelo de Poisson, se pretende calcular la probabilidad
de que en los próximos 15 min se produzcan 4 llegadas.
Ayuda por favor, es urgente. ​

Answers

Answer:

Uh I don’t speak u language

Step-by-step explanation: Sorry :/

What is the slope on this graph

Answers

Answer:

Zero slope

Step-by-step explanation:

the line is horizontal on the y axis, so it has a zero slope

and because

i aint never seen two pretty best friends, its always one of em gotta be ugly

Proportional relationships; Yes or no

Answers

Answer:

Yes I believe

Step-by-step explanation:

ill give you'll brain list

Answers

Answer:

I can’t see. Pic is not readable

Step-by-step explanation:

I can’t answer number 2 but number 1 is

H:2,5
i:4,8
J:8,7
K:8,3
L:4,2

The leg of an isosceles triangle has a length 2x+4 and the base has length 3x. The
perimeter is 141, What is the length of the base?

Answers

Answer:

[tex]Base = 57[/tex]

Step-by-step explanation:

Given

[tex]Length = 2x + 4[/tex]

[tex]Base = 3x[/tex]

[tex]Perimeter = 141[/tex]

Required

Determine the length of the base

The perimeter of an isosceles triangle is:

[tex]Perimeter = 2*Length + Base[/tex]

[tex]141 = 2 (2x + 4) + 3x[/tex]

[tex]141 = 4x + 8 + 3x[/tex]

Collect Like Terms

[tex]4x + 3x = 141 - 8[/tex]

[tex]7x = 133[/tex]

Divide both sides by 7

[tex]x = 19[/tex]

To get the base, we substitute 19 for x in [tex]Base = 3x[/tex]

[tex]Base = 3 * 19[/tex]

[tex]Base = 57[/tex]

what are the steps to solve -8(p+2)+p=4(p+3)+5

Answers

Answer:

p = -3

Step-by-step explanation:

Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday and StartFraction 135 over 7 EndFraction miles on Sunday. On which day did he ride further and by how much? Carlos rode further on Saturday by 1 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Saturday by 3 and StartFraction 5 over 56 EndFraction miles. Carlos rode further on Sunday by 3 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles. Mark this and return

Answers

Answer:

Carlos rode further than on Saturday by 107/56 miles.

Step-by-step explanation:

i did the quiz lol

Answer:

Its D

Step-by-step explanation:

I took the test and got it right.

What is the slope-intercept equation of the line below?

Answers

My answer would be A. Because if your line is going down, it is a negative slope. And the y-intercept is at negative 1.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the y intercept is -1 becuase thats where the point is located on the y axis and the slope is -2x because rise over run go up 2 over one

D. Direction: Plot following irrational numbers in the given number line.
1. 15
2.
46
3.
V55
4.
60
5.
V96
6.
14
7.
22
8.75
9. 34
10. 757 -
PIVOT 4A CALABAE​

Answers

Answer:

Numbers and plot location given below:

√15 = 3.9  located between 3.8 and 4.0√46 = 6.8 located between 6.7 and 6.9√55 = 7.4 located between 7.3 and 7.5√60 = 7.7 located between 7.6 and 7.8√96 = 9.8 located between 9.7 and 9.9√14 = 3.7 located between 3.6 and 3.9√22 = 4.7 located between 4.6 and 4.8√75 = 8.7 located between 8.6 and 8.9√34 = 5.8 located between 5.7 and 5.9√57 = 7.5 locate between 7.4 and 7.6

Anita is surveying students in her classroom about their favourite foods. Her survey results so far are shown below. Use fractions to answer the question.

What fraction of the students prefers either ice cream or pizza?

Type of Food: Fraction of Students Who Prefer the Food:

Fruit 1/12
Ice cream 1/3
Pizza 1/4
Other ?

Answers

Answer:7/12

Step-by-step explanation:fruit = 1/12 ice cream= 4/12 pizza=3/12 other must equal the remaining 4/12 btw and pizza plus ice cream is 4/12+3/12 = 7/12

A jewelry store is having a 50% off salefor all necklaces. During the sales, what is the sale priceof a necklace,that regularlycost$49?

answer asap i will make brainliset !

Answers

The answer is $24.50

Can u help my 9-12 real quick

Answers

Answer:

9. B

10. C

11. A (probably)

12. D

Answer:

9) a

10) c

11) a

12) d

( I don't know if 11 and 12 are correct)

Due to unexpected circumstances, you take out a loan for $5,000 to pay for a lawyer. You agree to pay it back over the next 5 years at a rate of 22.5% (because your credit score is really really low). At the end of the 5 years, how much did this "unexpected circumstance" end up costing you in all?

Answers

P=$5000
R=22.5
T=5yrs
I=PxRxT= 5000x22.5x5=50x22.5=1125x5=5625
———= ———————
100 =. 100
The answer is $5625
Other Questions
which version best uses a variety of sentence structures to enhance the flow and writing style of a story? If -2x+4= 8, will x be positive or negative? Without solving the equation, explain how you know. Josh is unpacking boxes at her job at target she unpacks 17 boxes that each have 25 regular DVDs in them she also on tax 24 boxes that each have a team blue rays TVs in them what is the total number of regular DVDs and Blu-rays that are on Pat Solve and explain Can someone help me with the questions in the picture? How do you think Earths tilt affects the observed temperature differences? (science) Which of the following is a risk of smoking? HELPPPPP Pregnancy Addiction Liver damage Overdose First, go to the shopping mall. ---- buy me trousers. ---- bring them to me by bus.A)then/nextB)next/then For an atom of chlorine-35, what number would you put as the SUPERSCRIPT in the atomic notation? What is the half life of an atom that goes from 16000 g to 125 g in 163.24 days. 8. An atom of element Z has theelectronic configuration 2.8.6. Whichone of the following statementsabout element Z is correct? * What are some types of performance that a manaer would have to control for a home health care agency? A. A health insurance companyB. A primary care clinicC. An outpatient surgery facilityD. A mental health counseling center E. A medical supply store HELPPPP look at image Is these correct?(*please note i will give 15 points*) HELP ME PLEASE, ASAP I JUST NEED X !! BRAINLIEST TO FIRST PERSON!!!!!!!!!!! 8 POINTS!!!!!!!!!!!!!Describe the effects of low work wage and high inflation in 1948. angle of elevation and depression If two oceanic plates move towards each other at a convergent boundary, then_____ may occur.earthquakesfaultsocean formationmountainsvolcanoesisland chainsseafloor spreadingpick two events Which sentence best explains the historical context for the book Silent Spring?It was written after President Nixon created the Environmental Protection Agency to showsupport for his legacy as a leader.It was written in the 1960s when people were first starting to consider the long-term effects ofpesticides on humans and ecosystems.O It was written to prove that all pesticides were potentially harmful to the environment andshould be banned from widespread use.O It was written by a biologist named Rachel Carson who grew up in Pennsylvania and attendedPennsylvania College for Women B.F. Retread, a tire manufacturer, wants to select one of three feasible prototype designs for a new tire; A, B, C. Revenues Low (0.30) Medium (0.50) High (0.20) A 120,000 255,000 390,000 B 130,000 295,000 460,000 C 100,000 300,000 480,000 Required:Calculate the highest value you would pay for a highly reliable forecast. what does angle DFE= in degrees?Type only number for answer