A tank is draining water such that the volume is given which an exponentially decreasing graph as shown in the graph below. If the volume was modeled with an equation of the form V=a(b)^t, where t is the number of hours then which of the following is the best value for b?

(1) b=20
(2) b=0.6
(3) b=2.8
(4) b=0.3

Answers

Answer 1

Answer:

[tex]b = 0.3[/tex]

Step-by-step explanation:

Given

[tex]V = ab^t[/tex]

See attachment for graph

From the graph

V = 20 when t = 0

This implies that:

[tex]V = ab^t[/tex]

[tex]20 = ab^0[/tex]

[tex]20 = a * 1[/tex]

[tex]20 = a[/tex]

[tex]a = 20[/tex]

Also:

V = 4 when t = 1.5

So:

[tex]4 = ab^{1.5[/tex]

Substitute 20 for a

[tex]4 = 20 * b^{1.5[/tex]

Divide by 20

[tex]0.2 =b^{1.5[/tex]

[tex]b^{1.5} = 0.2[/tex]

Take 1.5th root of both sides

[tex]b = 0.34199518933[/tex]

[tex]b = 0.3[/tex] --- approximated

A Tank Is Draining Water Such That The Volume Is Given Which An Exponentially Decreasing Graph As Shown

Related Questions

Find the unknown value: x + 9 = 16 * 6 5 7

Answers

Answer:

X=10,503

Step-by-step explanation:

x+9=16×657

X+9=10,512

X=10,512-9

X=10,503

Divide (x2 + 8x + 1) ÷ (x – 4) using synthetic division.

Answers

Answer:

I'm sorry i cant help you rn, download symbolab or math solver, I'm sure you will find your answer g

find the missing value no trolling please

Answers

Answer: 2

The equivalent ratios are 1:2 and 5:10

Step-by-step explanation:

help meh I'm doing more stuff for I can get another apple phone and another anonymous mask-​

Answers

Answer:

4lb.

Step-by-step explanation:

11 divided by 2.75 = 4

therefore, the answer is 4lb's.

Adam used 6 cups of milk to fill containers that each hold 1/3 how many containers can he fill

Answers

Answer:

2

Step-by-step explanation:

Change the numbers into an improper fraction. 6/3, then simplify it.

6/3 = 2

Answer:

1/3=6. Cross multiply1×c=6×3cups filled= 18

Please help quick no Tiny links please plz plz help quick due soon I will give points no Links

Answers

Answer:

I think its B but im not sure

Step-by-step explanation:

What expressions represent 5/6 × 5

Answers

Answer:

[tex]5 \div 6 \times 5 = 25\div 6[/tex]

25/6 is the Answer

what are the challenges of wildlife conservation in Ethiopia​

Answers

Answer:eEthiopia is the third country next to Tanzania and Uganda in terms of land surface of protected area; human-wildlife conflict, loss of biodiversity, and limited tourism and conservation attention with poor infrastructure are some of the major challenges.

Step-by-step explanation: brainilest ?

A Carpenter has a board that measures 6 feet x 4 feet. a small rectangle measuring 1 foot x 1 foot is cut out of the middle how much area is left?

Answers

I think it’s 15 but I’m not to sure

Kisi samantar shreni me pratham 6 pado ka yog 42 hai iske 10 we pad tatha 30 we pad me anupat 1:3 ka hai is samtar shereni ka pratham tatha 13 pad gyat kare​

Answers

Answer:

समांतर श्रेणी का प्रथम पद a = 2

[tex] t_{13}= 26[/tex]

Step-by-step explanation:

माना समांतर श्रेणी का प्रथम पद a और सामन्य अन्तर d है.

इसलिए..

[tex] S_6 = 42....(given) [/tex]

[tex]\therefore \frac{6}{2}\{2a + (6-1)d\}= 42 [/tex]

[tex]\therefore 3\{2a + 5d\}= 42 [/tex]

[tex]\therefore \{2a + 5d\}= \frac{42}{3} [/tex]

[tex]\therefore 2a + 5d=14...... (1)[/tex]

[tex] t_{10} : t_{30}= 1 : 3.....(given) [/tex]

[tex] \therefore \frac{t_{10}}{t_{30}} = \frac{1}{3} [/tex]

[tex] \therefore \frac{a +9d}{a+29d} = \frac{1}{3} [/tex]

[tex] 3(a + 9d) = a + 29d[/tex]

[tex] 3a + 27d = a + 29d[/tex]

[tex] 3a - a = 29d - 27d [/tex]

[tex] 2a= 2d [/tex]

[tex] a= d...... (2)[/tex]

समीकरण (1) और (2) से:

[tex]\therefore 2a + 5a=14[/tex]

[tex]\therefore 7a=14[/tex]

[tex]\therefore a=\frac{14}{7}[/tex]

[tex]\therefore a=2[/tex]

समांतर श्रेणी का प्रथम पद a = 2

a = d = 2... (समीकरण 2 से)

[tex] t_{13}= 2 + (13-1)2[/tex]

[tex] t_{13}= 2 + 12\times 2[/tex]

[tex] t_{13}= 2 + 24[/tex]

[tex] t_{13}= 26[/tex]

What is the value of x in 5x = 35? *

Answers

Answer:

7

Step-by-step explanation:

PLZ HURRY, TIMED, WILL MARK BRAINLIEST********

K [Not drawn to scale] Which is true about the diagram? Select two options. MZIKH+MZIKL= 180° MZIKLU MZILK+mZKIL = 180° DmZJKH= MZJLK O MZIKLU MZILK= 90° OmZKIL= MZKLJ​

Answers

Can you show us the diagram?

If 45/60 is equivalent to 3/x, find the value of x

Answers

x = 4
EXPLANATION:

45/60 can be simplified by dividing both 45 and 60 by the same number.

We already know the numerator is 3.

so we have to do the equation 45 divided by 3. which is 15.

so now we do 60 divided by 15 to find x.

So x = 4





Someone please explain how you got the answer please and thank you

Answers

Answer:

3 texts by madelyn, there were 2 texts from aubrey

Step-by-step explanation:

the ratio of maddie to aubrey was 18:12 which is 3:2

so 3 by maddie = 2 by aubrey

i used maddie because its shorter

Answer:

6 + 6 is 12 and 12 + 6 is 18 so i think its for every 6 text sent and then 6 again (6 in both boxes)

Step-by-step explanation:

adore your sasha pfp

I will mark you brainalist

Answers

Answer:

4.6

Step-by-step explanation:

the first equation will be y=1.2x+4.6

the second will be y=0.8x+54.6

then i plugged the system of equations and that was where they met at :)

Answer:

for sure B

Step-by-step explanation:

find the area of the compound shape. use 3.14 for pi.

1. 26.1cm square 2
2. 125.1cm square 2
3. 68.5cm square 2
4. 28.3cm square 2

Answers

Answer:

1. 26.1 cm²

Step-by-step explanation:

For area of semi circle

diameter = 6cm

radius = 6/2 = 3cm

Area of semi circle = 1/2 x pi x r²

= 1/2 x 3.14 x 3²

= 1.57 x 9

= 14.13 cm²

For area of rectangle,

length = 6cm

breadth = 2cm

Area = length x breadth

= 6 x 2

= 12cm²

Area of compound shape = 14.13 + 12

= 26.13 cm²

work out 5×6 - 8 ÷2​

Answers

Answer:   26

Step-by-step explanation:

5×6 - 8 ÷2​

= 30 - 8 ÷2​

= 30 - 4

= 26​

Answer:

26

Step-by-step explanation:

so we start off with 5x6 from PEMDAS so 5x6 = 30

then we have 8 divided by 2 = 4

30-4 = 26

Laura wants to learn more about her new high school. Which of the following is a statistical question Laura could ask?

A. What is the address of the school
B. Who is the principal
C. How old are the students at the school
D. Does the high-school have a jazz band

Answers

Answer:

D.

Step-by-step explanation:

There is no explanation

The answer is D. There is or should not be not explaining on this question

Find the missing dimension. Use the scale factor 1: 8.
Model height: ?
Actual height: 28 in.

Answers

Answer:

the answer is 6 :))))))))0

Step-by-step explanation:

HELPPPPPP
Order the following numbers from least to greatest.
10 square number 5
10square number -99
10 square number -17
10 square number 14
10 square number -5
10 square number 30

Answers

Answer:

10^-99

10^-17

10^-5

10⁵

10¹⁴

10³⁰

Every 75 feet, they will drink 8 ounces of water. Use your estimate to determine how many times they will stop to drink 8 ounces of water. How many ounces of water will Sarah drink biking up the mountain?​

Answers

Answer:

600 oz

Step-by-step explanation:

I need help please.

Answers

Answer:

Answer is C hope this helps

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

hope it helps

Step-by-step explanation:

have a great day

A company makes wax candles shaped like rectangular prisms. Each candle is 5 cm long, 3cm wide, and 10cm tall. If the company used 3900 cm3 of wax, how many candles did they make?

Answers

Answer:

26 candles

Step-by-step explanation:

A car travel 8km using 1 litres of petrol. How much petrol is needed to travel 152km​

Answers

Answer:

It is very interesting!

Step-by-step explanation:

So I am going to take all of this values and represent it as a proportion, So here's how it is going to look,

Km : Litre : : Km : Litre

Let's keep the missing value as x

= 8 : 1 : : 152 : x

We know that,

Product of ext. terms = Product of middle terms

8 * x = 1 * 152

8x = 152

x = 152/8

x = 19

So therfore it will take 19 lites to travel 152 km.

(So to put everything in a nutshell we have to divide 8 by 152 to get the answer)

Hope this helps :)

find the value of M in the following equation 7=m*12​

Answers

Step-by-step explanation:

7=m*12

divide the equation by 12

7/12=12m/12

7/12=m

if you meant to type 7=m^12

then the answer for m is 7^(1/12)

which is 1.1760

Hope that helps :)


In the elimination method would you add or subtract the following system? (Elimi
2x+5y=-2
-2x-7y=-6
(1 Point)
Add
Subtract
(Worth 10 points)

Answers

Answer:

You will add!

Step-by-step explanation:

Words words words

What is equivalent to 4,000 centimeters? A. 4 meters B.40 meters C.400 meters D. 40,000 meters

Answers

Answer:

B. 40 meters

Step-by-step explanation:

there are 100 cm in a meter

we can divide 4,000 by 100 to see how many meters are equivalent to 4,000 cm.

4,000/100 = 40

Therefore, the answer is B. 40 meters

hope this helps :)

3. Marci's gross pay this month is $1,175. What is the total amount her employer will
deduct from her income this month for Medicare tax (1.45% of gross pay) and Social
Security tax (6.2% of gross pay)?
pls help me

Answers

Answer:

it would be 266.83

Step-by-step explanation:

A local river running company wanted to see if rafting or kayaking led to better satisfaction on a river trip. They tested a group of people who participated in both activities. These tourists kayaked one day and rafted the next day. At the end of each day, they rated how much they liked the activity using a 10 point scale (1-strongly dislike to 10-strongly like).

Which hypothesis test should be used?
a. Two Sample Independent t-test
b. Two Sample Dependent t-test
c. One Sample t-test
d. None of these
e. Test of Correlation

Answers

Answer:

b. Two Sample Dependent t-test

Step-by-step explanation:

In this scenario, the best hypothesis test would be a Two Sample Dependent T-test. This is because the test would need to be seperated into two sample groups, one for the individuals that went rafting and one with the individuals that wen Kayaking. Then the data from both of these would be analyzed and compared. A dependent test would be used since the results depend on the activity in question.

Other Questions
Which is the correct spelling of trigonometry The largestapple pie hasradius of 20feet. What wasits area? Y=x-1 what's the slope please help me I have a test!! :/ Which side would you be in the civil war? I need y=mx equation thx! The graphs of f(x) and g(2) are shown. Which equation describes g(x) as a transformation of f(a)?g(2) = f(2-2)54y = f(x)3g() = f(20)219(2) = f(x) + 212 3 45-5 -4 -3 -2 -1 0-1-2g(I) = f(1+2)-3y = g(x)-4 Janu had $120 she gave 5/8 of it to Richard and 3/10 of it to rancho what percentage of the money was left with her Find the value of x. What is one way that the surrounding ecosystem can affect the glacier mouse ecosystem? what is 3/10x 5/7a.15/70b.20/70c.8/17d.15/17 Predict the products and balance the equationclassify the reaction A window shaped like a parallelogram has an area of 73 2 3 square feet. The height of the window is 8 2 3 feet. How long is the base of the window? HELP QUICKLY,100 POINTS!!!A) The stop sign is a regular octagon, so the measure of angle F must be 67.5. What is the angle measure for angle L? B) What is the measure of angle E? Explain how you know. C) What is the measure of angle K?D) What is the measure of angle H? Explain 9. The innermost part of the earth is comprised of(A) gold(C) diamonds(B) water(D) rocks An incident light ray hits a plane surface at 20 degrees (hint: remember where the angle is measured from). What is the angle between the incident and reflected rays? So is it 20 degrees or 40 degrees How do you find the x-intercept of a parabola? Mg + 2HCl MgCl2 + H2How many grams of MgCl2 are produced by 2.55 mol Mg? Is KLMN below a rectangle? may i get help with 5-9 questions pls Iff(x) = 9x- 6 andg(x) = x - 4, which statement is true?Click on the correct answer.1 is in the domain of fg.1 is not in the domain of fg.