11. A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallons of water.
a) Assuming that the volume of water in the tank, V, is a linear function of time, t, in hours,
find a formula for V ( linear function)

b) BY what percent did the volume of water increase from t=0 to t= 1?

Answers

Answer 1

Answer:

V = 30t + 15020%

Step-by-step explanation:

Given

Initial volume = 150 galVolume after 1 hour = 180 gal

a) The volume formula will be:

V = 30t + 150

As 150 is y-intersect (volume at zero time) and the rate of change (the slope) is 30 gal per hour

b) Increase of volume by percent:

30 gal increase on top of 150 gal

30/150*100% = 20%
Answer 2

Answer:

20%

Step-by-step explanation:

The volume formula is V = 30t + 150 → where 150 is y-intersect and the slope is 30 gals per hour

So you can do:

30 gals of increase on top of the 150 gals to get:

30/150×100%  which equals 20%

:)


Related Questions

Pran ran 29 miles less than Robin last week. Pran ran 19 miles. How many
miles did Robin run?

Answers

Pran= 19
Robin= 29+19

29+19= 48

What is 9.52% expressed as a decimal?​

Answers

Answer:

0.0952

Step-by-step explanation:

Percent just divide by 100

9.52 ÷ 100 = 0.0952

Answer:

0.0952

Step-by-step explanation: In order to get a decimal out of a percentage you take the decimal and put it two places to the left. Hope this helps!

.helppppppppppppppp!!!!!

Answers

answer: B

Step-by-step explanation: Its the only one that makes sense because as you see there are only four numbers to go off of, and b is the only one tht makes sense tbh

Slope, m = 3, y-intercept, b = 5

Answers

Answer:

I can't help if I don't have enough to answer sorry

Step-by-step explanation:

a owner increases the rent office house by 5% at end of each year if current its rent is ₹2500pm how much will be the rent after two years​

Answers

Step-by-step explanation:

2500×5%=125

125×2=250

2500+250=2750$

Answer:

2756.25 This is what he will pay going into the third year.

Step-by-step explanation:

This is not as simple as it looks. Is the base number always 2500 no matter how many years go by?

Or do you compound the rent after each Year.

Simple Interest

Rent after the first year

Rent after first year = 2500 + 5%*2500

Rent after first year = 2500 + 125

Rent after first year = 2625

The rent after the second year will be the same.

Compound interest.

Rent after first year is 2625

At the end of the second year it will be 2625 + 2625*5%

Second year payment = 2625 + 2625*5/100

Second year payment = 2625 + 131.25

Second year payment = 2756.25

Solve 4h = 92 for h.

h = ___

Answers

Answer:

H= 23

Step-by-step explanation:

92 divided by 4 will give you 23

Answer:

h = 23

Step-by-step explanation:

Divide each term by 4 and simplify.

Can someone please help me with this question

Answers

Answer:

Eat some mc donolds then ur good

Step-by-step explanation:

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1. The temperature was very cold. Then the temperature doubled. Then the temperature dropped by 10 degrees. Then the temperature increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature? ​

Answers

Answer:

10,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Determine if the number is a negative or positive integer. Gain 4 yards in the last down.

Answers

Answer:

Positive

Step-by-step explanation:

It's positive because the person is gaining 4 yards, not losing it.

It is approximately 32 miles from Dallas to Fort Worth.
Which number sentence could be used to find f, the number
of feet from Dallas to Ft. Worth.


(A) 1760 x 1/32 = f; because the scale factor is 5280
(B) 32 x 1760 = f; because the scale factor is 5280.
(C)5280 x 1/32 = f; because the scale factor is 5280.
(D)32 x 5280 = f; because the scale factor is 5280.

Answers

I believe the answer your looking for is b
My guy in some kind of 7000 level gawk gawk math or sum yo haha

5. Past experience shows that the standard deviation of the distances traveled by consumers to patronize Chinese restaurants is 2 km. How large a sample is needed to estimate the population mean distance traveled to within 0.4 km

Answers

Answer:

96

Step-by-step explanation:

Given that :

Standard deviation (s) = 2km

Error in estimation is within 0.4 km ; Error (E) = 0.4 km

Using the relation :

Sample size = ((Zα/2 * s) /E)^2

Using α = 0.05

The Zcritical at 0.05 = Z0.025 = 1.96

Sample size = ((1.96 * 2) / 0.4)^2

Sample size = (3.92 / 0.4)^2

Sample size = 9.8²

Sample size = 96.04

Required sample size = 96

3200 dollars is placed in an account with an annual interest rate of 8.25%. To the
nearest tenth of a year, how long will it take for the account value to reach 9600
dollars?

Hello, I come from the deltamath past to help you, in the deltamath future. It’s 13.9

Answers

It takes 24 years for the account value to reach the $9600.
Step-by-step explanation:
From the given data, it can be determined that :
Amount = $9600
Principal = $3200
Rate = 8.25% = 0.0825
Number of years should be calculated.
To find the interest :
Amount = Principal + Interest
Therefore, the interest can be calculated by the formula,
Interest = Amount - Principal
⇒ 9600 - 3200
⇒ 6400
The interest needed is 6400.
To find the number of years required to reach this interest :
Use the formula for simple interest,
Simple interest = Pnr /100
where,
P is the principal
n is the number of years
r is the rate
Substitute all the given values in the simple interest formula,
Simple interest = 3200 × n × 0.0825
6400 = 264 n
n = 6400 / 264
n = 24.2 which is approximately 24 years.
Therefore, it takes 24 years for the account value of 3200 dollars to reach 9600 dollars.
1000 is 20 also YUP yeah

How many different triangles ABC can be formed if C=60∘, c=17√3 and a=34?

Answers

Answer:

Jordan, Its been 5 hours, whats the answer?

Step-by-step explanation:

There can be only 1 triangle formed by the given information.

What is triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

Given that, ABC can be formed if C=60∘, c=17√3 and a=34

Using the sine law for triangle,

A/sina = B/sinb = C/sinc

34/sina = 17√3/sin60°

⇒ sina = 90°

Since, The triangle ABC is a right triangle,

Hence, There can be only 1 triangle formed by the given information.

For more references on triangle, click;

https://brainly.com/question/2773823

#SPJ2

The difference between two numbers is 8. Twice the number is 4 more than the larger number. What is the smaller number?

Answers

Answer:

If the two numbers are x and y, then:

x + y = 8

18 - 2x = 4y - 2.

When we subtract y from both sides in our first equation we get:

x = 8 - y, so:

18 - 2(8 - y) = 4y - 2

18 - 16 + 2y = 4y - 2

2 + 2y = 4y - 2

2y = 4

y = 2

Since x + y = 8, and y = 2, x = 6, and since 6 > 2, the larger number is 6.

Amy had a $10 monthly fee for music streaming due when she received her paycheck. After paying for the music streaming service, she had $65 remaining from her paycheck. Write and then evaluate a subtraction expression to determine the original value of Amy's paycheck

Answers

Answer:

10+65=75 75-10=65

A subtraction expression to determine the original value of Amy's paycheck is x-10=65.

Given that, Amy had a $10 monthly fee for music streaming due when she received her paycheck.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the original value of Amy's paycheck be x

According to the question, x-10=65

⇒ x=$75

Therefore, a subtraction expression to determine the original value of Amy's paycheck is x-10=65.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?

Answers are in standard notation

Answers

Answer: Aproxamatly  18.999999999999999

Step-by-step explanation:

Identify the vertex of
y = 2x2 − 4x − 2

Answers

vertex at

(

1

,

4

)

Explanation:

Given:

y

=

2

x

2

+

4

x

2

Convert the given form into "vertex form"

y

=

m

(

x

a

)

2

+

b

with vertex at

(

a

,

b

)

XXX

y

=

2

(

x

2

+

2

x

)

2

complete the square

XXX

y

=

2

(

x

2

+

2

x

+

1

)

2

2

XXX

y

=

2

(

x

+

1

)

2

4

XXX

y

=

2

(

x

(

1

)

)

2

+

(

4

)

which is the vertex form with vertex at

(

1

,

4

)

graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0

The answer is (1,-4)

A line has a slope of 9 and passes through the point (4, 5). What is its equation in point-slope form?​

Answers

Answer:

y - 5 = 9 (x-4)

Step-by-step explanation:

PLZ HELP IM WASTING MY POINTS FOR THIS Match each expression to its value.

1. -1 + 2
1
2. 1 + (-2)
-3
3. -1 - 2
3
4. 1 - (-2)
-1

Answers

Answer:

1. 1

2. -1

3. -3

4. 3

If you have any questions on the topic let me know. :)

Answer:

1. 1

2. -1

3. -3

4.3

Step-by-step explanation:

...

d=1/2at^2+s, solve for a

Answers

Step-by-step explanation:

Perhaps the equation is d=1/2at2 and you are given the distance (40 m) and acceleration (9.8 m/s2) and asked to find the time. or convert the equation in terms of t and then plug in the numbers to solve.

what is the slope of (1,-3) and (-5,-4)

Answers

Answer:

slope is 1/6

Step-by-step explanation:

Henry decorates the top of each cupcake with 3 walnuts. If he has 56 walnuts, is that enough to decorate 2 dozen cupcakes? Why?

Answers

Answer:

No he does not have enough walnuts

Step-by-step explanation:

So if one dozen cupcakes is 12 then two dozen is 24 and each one has 3 walnuts and he only has 56 walnuts then what you have to do is multiply 24 by 3 and get 72 so the answer is no he does not have enough

Answer:

No, in order to decorate 2 dozen cupcakes(24) he needs 72 walnuts. With 56 he can only decorate 18 cupcakes.

Step-by-step explanation:

5x−7 = 3 help meee plz

Answers

Answer:

5x=3+7

5x=10

X=10/5

=2

Marina simplified the expression 4x + 5(–4x – b) – (x – 2) to be –17x – 8.
What was the value of b?
A. –6
B. –2
C. 2
D. 10

Answers

Answer: C. 2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Begin by removing the brackets

4x + 5(-4x - b) = -16x - 5b

-(x - 2) = -x + 2

Add the two binomials together to get the third one

4x -20x - 5b - x + 2 = -17x - 8                 Combine the like terms on both sides

-17x - 5b +2 = -17x - 8                             Add 17x to both sides

-5b + 2 = - 8                                           Subtract 2 from both sides

-5b +2 -2 =- 8 -2                                     Combine    

-5b =  - 10                                               Divide by -5

b = -10/-5

b = 2

please answer this :(

Answers

Answer:

X+2 metres. Just use a^+2ab+b^2

what is 494 divided by 6.5

Answers

Answer:

76

Step-by-step explanation:

Answer:

494 divided by 6.5 =76

Step-by-step explanation:

What is 5/8 ÷ 3/4 I need to know this please hurry

Answers

Answer:

5/6

Step-by-step explanation:

i used a caculater

BRAINLIEST PLEASE

What is an equation of the line that passes through the points (-4,-4) and (4,6), answer in fully reduced form.

Answers

Use  

y

2

y

2

x

2

x

1

4

9

2

3

=  

5

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

6

Explanation:

the equation of a line in  

slope-intercept form

is.

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

x

m

=

y

2

y

1

x

2

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

4

3

2

=

5

1

=

5

y

=

5

x

+

b

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

b

=

4

10

=

6

y

=

5

x

6

is the equation of lineAnswer:

Step-by-step explanation:

Use  

y

2

y

2

x

2

x

1

4

9

2

3

=  

5

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

6

Explanation:

the equation of a line in  

slope-intercept form

is.

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

x

m

=

y

2

y

1

x

2

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

4

3

2

=

5

1

=

5

y

=

5

x

+

b

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

b

=

4

10

=

6

y

=

5

x

6

is the equation of line

what is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2cm and a height of 9 1/2cm?

Answers

Answer:

8075.

Step-by-step explanation:

Volume of the prism

= 12 1/2 * 8 1/2 * 9  1/2

= 25/2 * 17 / 2 * 19/2

= 8075/8 cm^3

The volume of the small cubes = (1/2)^3 = 1/8 cm^3

So the number required = 8075 / 8   /  1/8

= 8075*8 / 8

= 8075.

Equation for (-2,-5) and (1,-3) in slope-intercept form

Answers

Answer:

y=2/3x-11/3

Step-by-step explanation:

First, find the slope.

m= y2-y1/x2-x1

-3+5/1+2 = 2/3

Slope is 2/3

Now, pick one of the coordinates and use that and the slope to put it in point-slope form.

Point slope form: y-y1=m(x-x1)

Let's use (1,-3)

y+3=2/3(x-1)

Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.

y+3=2/3x-2/3

y=2/3x-11/3

Answer:

y=2/3x-11/3

Step-by-step explanation:

use slope formula and slope intercept form. y=mx+b

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Find h. (system of equations) Based on the chemical formula and state of matter, which of these substances will conduct electricity?CuSO4(s)CuSO4(aq)C5H12(l)CO2(g) PLZ HELP IM WASTING MY POINTS FOR THIS Match each expression to its value.1. -1 + 2 1 2. 1 + (-2) -3 3. -1 - 2 3 4. 1 - (-2) -1 Can somebody help ?!!!! 6x+4y=42 -3x+3y=-6 by elimination Help with these 2 question and I with give 36 points away and brainliest (pics included)... Only 1 & 2 pls Are you able to determine the volume of the cube with the information given? (Explain in complete sentences) What is 2+2? xd noob explain where the Dakota villages of Big Eagle, Shakopee, and Little Crow were located in 1862. anyone question 8 pleaseeeeeeeeeee What is 9.52% expressed as a decimal? In Furman v. Georgia, the Supreme Court ruled that the death penalty violated the Eighth Amendment because the death penalty wasA)used to deter criminals.B)used in nonviolent cases C) applied unequally across states.Dalready abolished in most states. Which sentence needs to be broken into two separate sentences?Science fiction was not Barry's favorite genre, so he looked for a short book to read.When Barry finished reading the novel, he decided that he liked science fiction after all.The novel Barry chose was so short that he read it in one night it was that good too.Barry's teacher told the class that they would have to read a science fiction novel Why does your heart never tire of constantly beating to pump blood throughout your body? A. It belongs to the skeletal muscle group, which means it moves involuntarily. B. It consists of fibers that move voluntarily, so you can train these fibers to increase their endurance level. C. It has a high level of muscular strength due to extensive weight training. D. It consists of cardiac muscle tissues, which means it moves involuntarily. CAN SOMEONE PLEASE HELP ME ON NUMBER 3 What is the second most abundant element on earth and seems to be very important in biological processes such as oxygen transportation in the body and cellular respiration WILL MARK BRAINLIST!!!!A string of lights is 69 1/3 feet long. The lightbulbs are spaced 8 inches apart. The diagram shows the beginning of the string and the end of the string. What is the total number of lightbulbs on the string of lights? I think Im correct ImJust double checking on this because Im not sure . Which excerpt from Child of the Americas contains imagery that expresses how language becomes part of the speakers physical identity? I am new. History made me. Europe lives in me, but I have no home there. My first language was spanglish. I was born at the crossroads Spanish is in my flesh, ripples from my tongue, lodges in my hips: in what ways were civilizations in early Mesoamerica and South America complex?