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

Please help me solve this question will give you braisnlt !

Answers

Answer:

Table c

Step-by-step explanation:

Required:

Which of the 4 has the greatest rate of change

For Graph (A):

We start by picking any two equivalent points on the table:

[tex](x_1,y_1) = (0,1)[/tex]

[tex](x_2,y_2) = (2,5)[/tex]

Next, we determine the slope, m:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{5-1}{2-0}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m = 2[/tex]

This represents the rate of change:

For (B): [tex]y = 3x + 7[/tex]

An equation is of the form:

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

Where

m represents slope or rate of change:

By comparison:

[tex]m = 3[/tex]

For table (C):

We start by picking any two equivalent points on the table:

[tex](x_1,y_1) = (1,7)[/tex]

[tex](x_2,y_2) = (2,12)[/tex]

Next, we determine the slope, m:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12-7}{2-1}[/tex]

[tex]m = \frac{5}{1}[/tex]

[tex]m = 5[/tex]

This represents the rate of change:

For (D):

The $1.00 paid every week represents the rate of change.

So:

[tex]m = 1[/tex]

For A - D:

The rate of change are:

[tex]A = 2[/tex]

[tex]B = 3[/tex]

[tex]C = 5[/tex]

[tex]D = 1[/tex]

5 is the greatest.

Hence, (c) has the greatest rate of change

What is the slope of a line perpendicular to the line whose equation is 3x+y=-5 Fully reduce your answer.

Answers

Answer:

The answer is 1/3

Step-by-step explanation:

please help picture included:)

Answers

Answer:

y = 75

z = 43.3

Step-by-step explanation:

To find the value of y we use the trigonometric identity Sine.

[tex]sin\ 30 = \frac{y}{150}\\\\y=150*sin30\\y= 75\\[/tex]

Now to find the value of z we can use the trigonometric identity Tangent.

[tex]tan\ 60=\frac{y}{z}\\\\z=\frac{y}{tan\ 60}[/tex]

We know the value of y is 75 so it becomes,

[tex]z=\frac{75}{1.732} \\\\z=43.3[/tex]

Answer:

y=-150 ' z = - 468

Step-by-step explanation:

Sin angle = opp/hyp

Cos 30 = y/150

y = 150 ×( cos30)

y= - 150

Tan angles = opp / adj

Tan 60 = - 150 / Z

Z = (-150) / tan 60

Z = (-150) / 0.32

Z= - 468

Use the table below to answer this question:
x y
-1 -3
0 -1
2 3

Find the average rate of change for the given function from x = −1 to x = 2.

A.) −2

B.)−1

C.)1

D.) 2

Answers

Given:

The table of values.

To find:

The average rate of change for the given function from x = −1 to x = 2.

Solution:

From the given table it is clear that y=-3 at x=-1 and y=3 at x=2.

Formula for average rate of change is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using the above formula, the average rate of change for the given function from x = −1 to x = 2 is

[tex]m=\dfrac{3-(-3)}{2-(-1)}[/tex]

[tex]m=\dfrac{3+3}{2+1}[/tex]

[tex]m=\dfrac{6}{3}[/tex]

[tex]m=2[/tex]

Therefore, the correct option is D.

help!! i do not know what to do. 8th grade math!!

Answers

Answer:

Yes

Step-by-step explanation:

The productivity consistanly increases by 3/2.

Answer:

i think its (0,0) and (11,7)

sorry if im wrong

Step-by-step explanation:

someone help me please i don’t understand

Answers

Answer:

i need points lol .

Step-by-step explanation:

i need points :(  i hope you find your answer i guess

HELPPP please dont skip

Answers

Answer:

B

Step-by-step explanation:

Trust

Use the distributive property to find the value of x.

-1.2(3 – x) = -1.8

-3.6 + 1.2x = -1.8

1.2x = 1.8

x = ___

Answers

Answer:

i combined multiplied terms into a single fraction , then multiply all by the same value to eliminate common denominators simplify and divide and get x=1.5

Step-by-step explanation:

Answer:

yo

Step-by-step explanation:

its 1.5

promise

i did edge

Your budget is $60 for Chipotle each month, which you go out to at least twice week. Each meal is $7. How much money is left in your budget after you have eaten at Chipotle eight times this month. Would you have money left over to get guacamole (at least once during the month) for $1.80.

Answers

Answer:

Step-by-step explanation:

Gjbvhobcfu

Answer:

I cannot see the question

Step-by-step explanation:

Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.

Answers

Answer:

II. One and only one solution

Step-by-step explanation:

Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.

Let assume the equation is given as;

x + 3y = 11 .... 1

x - y = -1 ....2

Using elimination method

Subtract equation 1 from 2

(x-x) + 3y-y = 11-(-1)

0+2y = 11+1

2y = 12

y = 12/2

y = 6

Substitute y = 6 into equation 2:

x-y = -1

x - 6 = -1

x = -1 + 6

x = 5

Hence the solution (x, y) is (5, 6)

Hence we can say the equation has One and only one solution since we have just a value for x and y

Help fast hshshdhwbebsolamehvrve

Answers

Answer:

Slope: -3/2

Y intercept: 4

Slope intercept form: y=-3/2x+4

Step-by-step explanation:

:) I hope this is good for you

Geometry homework. Please help.

Answers

Answer: Sure

Step-by-step explanation:

Step-by-step explanation:

✬ Radius = 2.5 cm ✬

Step-by-step explanation:

Given:

Radius of spherical ball is 3 cm.

Radii of new spherical balls are 1.5 cm and 2 cm.

To Find:

Radius of third spherical ball ?

Solution : Let the radius of third spherical ball be x cm.

If something is melted and recasted into another thing then their volumes will be equal. In short

Volume of 1st thing = Volume of second one.

➯ Let's see here

Volume of big spherical ball will be equal to the sum of volumes of that three small spherical balls.

As we know that

★ Volume of Sphere = 4/3πr³ ★

[ Taking big spherical ball ]

Radius = 3 cm

⟹ Volume = 4/3 × π × (3)³

⟹ 4π/3 × 27

Volume we got = 4π/3 × 27 cm³

[ Taking 3 small spherical balls ]

Radius of first ball (r¹) = 1.5 cm

For second (R) = 2 cm

For third (x) = x cm

Volume = 4/3 × π( sum cubes of radii)

⟹ Volume = 4/3 × π(1.5³ + 2³ + r³)

⟹ 4π/3 (3.375 + 8 + x³)

⟹ 4π/3 ( 11.375 + x³)

Volume we got = 4π/3 (11.375 + x³) cm³

A/q

First volume = Second volume

➮ 4π/3 × 27 = 4π/3 (11.375 + x³)

➮ 27 = 11.375 + x³

➮ 27 – 11.375 = x³

➮ 15.625 = x³

➮ 15625/1000 = x³

➮ 3125/200 = 625/40 = 125/8 = x³

➮ ³√125/8 = x³

➮ 5/2 = x²

➮ 2.5 cm = x

Hence, the measure of radius of third spherical ball is 2.5 cm.

Which rational number is positive?

Answers

Answer:

D because when you divide 2 negative number it will be positive

The answer is D because when you divide two negative numbers they become a positive !! good luck !

Who HATES k-12 I"TS THE WORST

Answers

Answer:

MEEEEEEEEEEEEE LOL hahaha

Answer:

I hate it, it doesnt teach you anything!!

Step-by-step explanation:

19 X 6 fill in the blanks

Answers

answer: 114
no explanation

Need help ASAP
Thank you

Answers

Answer:

the second one thxxx for the points

it’s the second one....B!!!

please help

Solve |6k + 12| + 9 = 9 for k

Answers

Answer:

k = -1/2

Step-by-step explanation:

|6k + 12| + 9 =9

6k + 12 = 9-9

6k + 12 = 0

6k = -12

k = -1/2




A TV store buys TV's for $250 each, and then increases the price by 120%. What is the sales price of a TV at this store?

Answers

Answer:

$300

Step-by-step explanation:

Answer:

$300

Step-by-step explanation:

250 100

 ?    120

(250x120)/100

Jamie is painting her house. Each room takes ½ of a liter of paint. If Jamie has 3 liters of paint, how many rooms can she paint? *

Answers

jamie can paint 6 rooms
3 divided by 1/2
3/1 * 2/1
6/1
6

Find the first four nonzero terms in a power series expansion about x0 for a general solution to the given differential equation with the given value for x0.
y'-3xy=0; x0=-2

Answers

Answer is 68x bud thanks for lettting me ANWSER

Why do we convert from a mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator?

Answers

Because the denominator is the same as the improper fraction so that mean you will get the numerator but then you have to add the decimal then subtract the answer by the mixed number then you will get your answer

I hope this helps

A mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator

What are Mixed Numbers?

A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

To convert a mixed number to an improper fraction , we need to follow these three steps :

Step 1 : Multiply the whole number by the denominator

Step 2 : Add the answer from Step 1 to the numerator

Step 3 : Write answer from Step 2 over the denominator

Take for example :

Let the number be x = 5 5/9

Step 1 :

Multiply the whole number by the denominator

9 × 5 = 45

Step 2 :

Add the answer from Step 1 to the numerator

45 + 5 = 50

Step 3 :

Write answer from Step 2 over the denominator

50/9

Therefore , the mixed number 5 5/9 is converted to its improper fraction as 50/9

To learn more about mixed numbers click :

https://brainly.com/question/2639375

#SPJ6

ok yall i need help and yall kinda no treading the question fully READ ITTTTT, i will give brainleist

Answers

Answer:have a wonderful Christmas!

Step-by-step explanation:70+95

70=2*5*7

95=5*19

70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)

5*33=165 and 70+95=165 also

Answer:

The answer is 165, hope this helps.

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

3 inches
1.5 inches
1.5 inches

Answers

Answer:

6 inches

Step-by-step explanation:

A police department reported that approximately 5% of the alarm calls they get each day are real emergencies and not false alarms. If they receive 120 alarm calls in one day, about how many of them would be false alarms?​

Answers

Answer:

6

Step-by-step explanation:

5% of 120 is 6.

Well, if 5% of them are real, that means 95% of the calls they get each day are false alarms.  

If we set up our inequality and multiply (Which i'm assuming you know how to do) We would get 114. Therefore, 114 calls would be false alarms.

There are 15 members of the show choir. In how many different ways can you arrange any 8 members in the front row? Show work. I will give brainliest!

Answers

Answer:

259,459,200 ways.

Step-by-step explanation:

That is the number of permutations of 8 from 15.

= 15! / 15-8!

= 15! / 7!

= 15*14*13*12*11*10*9*8

= 259459200

A trade-in is most closely related to which of the following?
a.
A down payment, because it reduces the amount financed.
b.
An interest payment, because it represents value given to the dealer.
c.
The list price, because it is derived from the price of a car.
d.
Amortization, because it is a way of paying for car financing.

Answers

Answer:c.

The list price, because it is derived from the price of a car.

Step-by-step explanation:

Tess is going to purchase a new car that has a list price of $29,190. She is planning on trading in her good-condition 2006 Dodge Dakota and financing the rest of the cost over four years, paying monthly. Her finance plan has an interest rate of 10.73%, compounded monthly. Tess will also be responsible for 7.14% sales tax, a $1,235 vehicle registration fee, and a $97 documentation fee. If the dealer gives Tess 75% of the listed trade-in price on her car, once the financing is paid off, what percent of the total amount paid will the interest be? (Consider the trade-in to be a reduction in the amount paid.)         ANSWER C

Answer: A. A down payment, because it reduces the amount financed.

Step-by-step explanation: I just took the quiz and got a 100%. Edge 2021

Solve for x.

0 ≤ 3x – 6 ≤ 18

Answers

Answer:

Inequality form: 2 [tex]\leq[/tex] x [tex]\leq[/tex] 8

Interval Notation: [2,8]

Step-by-step explanation:

7-3x=x-4(2+x) please help with work

Answers

Answer:

7-3x=x-4(2+x)

7-3x=x-8-4x

7-3x-x=-8-4x

7-4x=-8-4x

-4x+4x=-8-7

0 =-15

=-15/0

=0


If two lines are perpendicular, their slopes are negative reciprocals.
A. True
B.False

Answers

A. If the slopes of two lines are negative then the reciprocals, of the lines are perpendicular.
THE ANSWER IS TRUE I’M 100%


Which proportion would be used to solve the following problem. The proportion of turtles to alligators at the reptile park is 5:9. Since Beth
counted 45 turtles, how many alligators are there?

Answers

Answer:

25 I think not sure

Step-by-step explanation:

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