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?

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

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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

Answer:

25 I think not sure

Step-by-step explanation:

Answer:

MEEEEEEEEEEEEE LOL hahaha

Answer:

I hate it, it doesnt teach you anything!!

Step-by-step explanation:

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.

Answer:

B

Step-by-step explanation:

Trust

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

Answer:

k = -1/2

Step-by-step explanation:

|6k + 12| + 9 =9

6k + 12 = 9-9

6k + 12 = 0

6k = -12

k = -1/2

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).

Answer:

The answer is 1/3

Step-by-step explanation:

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:

Answer:

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

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.

Answer:

$300

Step-by-step explanation:

Answer:

$300

Step-by-step explanation:

250 100

 ?    120

(250x120)/100

Answer:

the second one thxxx for the points

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

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

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

Answer:

6 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Gjbvhobcfu

Answer:

I cannot see the question

Step-by-step explanation:

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.

Answer:

i need points lol .

Step-by-step explanation:

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

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

Answer:

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

Interval Notation: [2,8]

Step-by-step explanation:

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

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