The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled

Answers

Answer 1

Answer:

The height of the water increases 2 inches per minute.

Step-by-step explanation:


Related Questions

An urn contains three red balls and four blue balls. Draw two balls at random from the urn, without replacement. Compute the expected number of red balls in your sample. (Round your answer to four decimal places.)

Answers

Step-by-step explanation:

in total we have 3+4 = 7 balls.

when we draw the first ball, the probability to draw a red ball is 3/7, and a blue ball 4/7.

when we draw the second ball, we have now only 6 balls in total.

the probabilty to draw a red back now depends also on the result of the first draw.

if the first ball was already red, then we have only a chance now of 2 out of 6.

if the first ball was blue, then we have now a chance of 3 out of 6.

so, the probably to draw at least 1 red ball in 2 draws is the probability of drawing one on the first draw plus the probability of drawing one on the second :

1 - probability to see 2 blue balls

1 - 4/7 × 3/6 = 1 - 12/42 = 30/42 = 0.714285714...

the expected number of red balls in 2 draws is

1 red in first red in first red in second

but not second and second but not first

1×(3/7 × 4/6) + 2×(3/7 × 2/6) + 1×(4/7 × 3/6) = 12/42 + 12/42 + 12/42 = 36/42 = 6/7 = 0.857142857 ≈ 0.8571

The base of a triangle is 4 ft more than the height. If the area is 30ft2, find the base and the height.

Answers

Answer:

Base = 10 ft. and the height = 6.

Step-by-step explanation:

Area of triangle = 1/2bh

base is 4 + h  ⇔  base = 4 + h

height = h

Using the formula for the area of triangle substitute into the formula the given facts.

A = 1/2bh

30 = 1/2(4 + h) (h)

30 = 1/2(4h + h²)     Multiply both sides by 2

60 = 4h + h²

-60 =           -60      Add -60 to both sides

0 = h²+ 4h -60        

(h + 10)(h - 6) = 0      Factor

h + 10 = 0    h - 6 =0

h = -10         h = 6

reject any negative number and use the positive answer for h.

So h = 6      and the base = 4 + 6 ; base = 10

Can someone please explain step by step on how I subtract fractions like for an a example!
7/8 - 3/8 ?

Answers

Keep the denominators the same and subtract the numerators. So for example in your example:

7/8 - 3/8

Leave the 8 alone. Subtract 3 from 7.

7 - 3 = 4

So answer is:

4/8

Sometimes they may have to simplify the answer, and in this case, 4/8 could be simplified to 1/2

When subtracting fractions with the same denominator (in this case 8) you only have to worry about the numerator (7&3)

ANSWER - 7/8-3/8= 4/8

Now since you can simplify 4/8 you would divide both by 4 and your simplified answer is 1/2.

Help
Geometry 1
Find z

Answers

Answer:

8

Step-by-step explanation:

The triangles are the same, except one is dilated.

So the hypotenuse of one is 5, and the other is 10. The triangle is dilated to double the other's size. so 4*2 = 8

I have no idea what i just wrote, but the answer is correct.

A boat is traveling at a constant speed. In 2 hours, the boat travels 180 miles. How many hours will it
take the boat to travel 225 miles?

Answers

Answer:

2 1/2 hours

Step-by-step explanation:

For 1 hour, it would travel 90 miles.

For half of 90 which is 45 it would travel 1/2 hr.

225-180 is 45 miles, which is another half hr.

2 hrs plus 1/2 hr is 2 1/2 hours.

a person pays a loan of Rs. 3900 in monthly installments each in installment being less than the former by Rs. 20 ,the amount of first is Rs.400 in how many installment will entire amount be paid ? give reason​

Answers

Answer:

15 installments

Step-by-step explanation:

3900 = Σ [tex]\left \ {{x=n} \atop {x=1}} \right.[/tex]   400 - 20*(n - 1)

Which sequence follows the pattern add 5, subtract 3?


A. 5,3,5,3,5,3,5

B. 6,3,8,5,10,7

C. 0,5,8,13,16,21,24

D. 12,8,6,4,20

Answers

B
6,3,8,5,10,7
When you do the math it shows as that answer

Is the point (-2,5) a solution to the inequality y is greater than or equal to 5x+ 7​

Answers

Answer:

Yes, it is a possible solution for Y >/= 5x+7

Step-by-step explanation:

You plug in the values (x,y) ie (-2,5):

5(-2)+7=-3

-3<5 so -3 is less than 5.

Thus, Y is greater than 5x+7 at (-2,5).

One month Chris rented 7 movies and 9 video games for a total of $71. The next month he rented 5 movies and 3 video games for a total of $31. Find the rental cost for each movie and each video game.

Answers

simultaneous equations:
7m+9v=$71
5m+3v=$31

multiply the whole of the second equation by three to get:
7m+9v=$71
15m+9v=$31
now subtract the second equation from the first to get: 8m=$40 so a movie costs $5

now substitute the movie back into:
7(5)+9v=$71
35+9v=$71
9v=$36
so a video game costs $4

Suppose log7(10) = a and log7( 5) = b. Use the change-of-base formula along with properties of
logarithms to rewrite each expression in terms of a and b.

Answers

Step-by-step explanation:

log 10/log7=a

log10=alog7

log10=log7^a

10=7^a

log 5/log7=b

log5=blog7

log5=log7^b

5=7^b

Which equation best matches the graph shown below?

Answers

Answer:

B

Step-by-step explanation:

because it is actually move to right

Answer:

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

Step-by-step explanation:

the lowest coordinate of it is -3 and the x-coordinates are 1 and 3

Kelly is nine years older than her sister. Kelly's age is one more than twice her sisters age. What is Kelly's age?

Answers

Answer:

17 years old

I hope this helps

I think it might be right

sorry if it is wrong

What is the vertex of the absolute value function below?
(will give brainliest)!!!
(–3, –2)
(–3, 2)
(2, –3)
(2, 3)

Answers

Answer:

(-3,2)

Step-by-step explanation:

Go where the two coordinates match, you'll see that it's (-3,2).

I see that that's Edge2021, I know how that feels. :/

Hope this helped! :)

Answer:

 (-3, 2)

Step-by-step explanation:

A population numbers 18,000 organisms initially and grows by 16% each year.

Answers

Answer:

The answer is 20,880

Step-by-step explanation:

This won't be a very long explanation. What I did was add 18,000 plus 16% and I got 20,880.

Hope this helps!  

Have a nice day/night/afternoon.  

(Can you mark me brainliest?)

- ❤ 7272033Alt ❤

Assume running consumes 95 cal per mile. If you run 9- minute miles, what is your average power output in watts

Answers

so (95/9)x2x60 Cal used in (1/9)x60 mile run in 2 hr or 120 min
95/9= about 10.5 cal/min
1 cal= 4.2J/S
(10.5 x 4.2)/60= 0.735 watts

Johnny has a box filled with 10 black marbles and 5 purple marbles.What are the odd he pulls two purple marbles in a row without replacemnet

Answers

Answer:

2/21

Step-by-step explanation:

The first purple is 5/15 and the second is 4/14. Multiply them together to get 2/21.

If you had a choice between playing golf or going to the movies and you chose to go to the movies, what is the opportunity cost of your decision.

Answers

The potential gain that could have come with golfing

Step-by-step explanation:

Opportunity cost is the loss of something you could have gotten from the choice you didn't go with. so I'm this case, the opportunity cost of chosing the movies is what you missed out on by not going golfing.

Find the inverse of the matrix A=

[4 -5]
[-7 9]

Answers

Answer:

hope this answer is right 71/45

3/2 x 4/3 x 5/4… x 2006/2005

Answers

Answer:

1003

Step-by-step explanation:

The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.

The simplest form of a telescoping product[tex]a_{k} \ = \ \displaystyle\frac{t_{k}}{t_{k+1}}[/tex], in which the products of n terms is

[tex]a_{1} \ \times \ a_{2} \ \times \ a_{3} \ \times \ \cdots \times \ a_{n-1} \ \times \ a_{n} \ = \ \displaystyle\frac{t_{1}}{t_{2}} \ \times \ \displaystyle\frac{t_{2}}{t_{3}} \ \times \ \displaystyle\frac{t_{3}}{t_{4}} \ \times \ \cdots \ \times \ \displaystyle\frac{t_{n-1}}{t_{n}} \ \times \ \displaystyle\frac{t_{n}}{t_{n+1}} \\ \\ \-\hspace{5.55cm} = \ \displaystyle\frac{t_{1}}{t_{n+1}}.[/tex].

In this particular case, [tex]t_{1} \ = \ 2[/tex] , [tex]t_{2} \ = \ 3[/tex], [tex]t_{3} \ = \ 4[/tex], ..... , in which each term follows a recursive formula of [tex]t_{n+1} \ = \ t_{n} \ + \ 1[/tex]. Therefore,

[tex]\displaystyle\frac{t_{2}}{t_{1}} \times \displaystyle\frac{t_{3}}{t_{2}} \times \displaystyle\frac{t_{4}}{t_{3}} \times \cdots \times \displaystyle\frac{t_{n}}{t_{n-1}} \times \displaystyle\frac{t_{n+1}}{t_{n}} \ = \ \displaystyle\frac{3}{2} \times \displaystyle\frac{4}{3} \times \displaystyle\frac{5}{4} \times \cdots \times \displaystyle\frac{2005}{2004} \times \displaystyle\frac{2006}{2005} \\ \\ \-\hspace{5.95cm} = \ \displaystyle\frac{2006}{2} \\ \\ \-\hspace{5.95cm} = 1003[/tex]


The perimeter of a rectangle is 18.6 km, and its area is 14.6 km“.
Find its length and width.

Answers

Answer:

2 and 7.3

Step-by-step explanation:

[tex]P=2x+2y=18.6[/tex]

[tex]2x=18.6-2y\\x=9.3-y[/tex]

We'll replace x with (9.3-y)

[tex]A=x\cdot y=14.6\\(9.3-y)\cdot y=14.6\\-y^2+9.3y=14.6\\ \\y^2-9.3+14.6=0[/tex]

Now we solve this equation by sum and product:

[tex]S=9.3\\P=14.6\\y=2\ or \ y=7.3[/tex]

Replacing back in the Perimeter equation:

[tex]2x+2y=18.6[/tex]

if y=7.3

[tex]2x+2\cdot7.3=18.6\\2x+14.6=18.6\\2x=4\\x=2[/tex]

if y=2

[tex]2x+2\cdot2=18.6\\2x+4=18.6\\2x=14.6\\x=7.3[/tex]

So, the dimensions are 2 and 7.3 km

7/10 of guest were over 25 what is the percentage

Answers

70% of the guests were over 25
70% of the guests were over 25

2/7>b+5/7 solve the inequality

Answers

[tex]\dfrac 27 >b +\dfrac 57\\\\\implies 2 > 7b +5~~~;[ \text{Multiplying both sides by 7}]\\\\\implies 2-5>7b\\\\\implies -3>7b\\\\\implies -\dfrac 37 >b\\\\\implies b<-\dfrac 37\\\\\\\text{Interval,}~ \left(-\infty, -\dfrac 37 \right)[/tex]

What fraction is equivalent to 4/3?

Answers

8/6
16/12
40/30


if you divide the first one by 2 you will get 4/3

If you divide the second one by 4 you will get 4/3

The last one if you divide it by 10 you will get 4/3

Write the inequality

Answers

The inequalities which the number lines represent are as follows;

x > 3x <= 2.

While writing inequalities represented on a number line;

We must observe the direction of the line; and also observe the shading on the starting point of the line.

In case 1:

The set of x values are represented as greater than 3;

Therefore, the inequality is; x > 3

In case 2:

The set of value are represented as less or equal to 2;

Therefore, the inequality is; x <= 2

The number line to represent the street sign is as in the attached image;

Read more on number line and inequalities:

https://brainly.com/question/1478009

Use the function below to find f(-2).
f(x) = 5x
O A. -25
O B. 1/10
O c. 1/25
O D. -10

Answers

Answer: is c. 1/25

the question is a year old but thought i'd help out and answer it since i just took the test on a.pex and the only other answer to the question is wrong

The value of the function f(2) is -10.

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find f(-2), we need to substitute -2 for x in the function f(x) = 5x:

So,

f(-2) = 5(-2) = -10

Therefore,

The value of the function f(2) is -10.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

At the airport, each piece of luggage to be checked in must not weigh more than 50
pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.

Answers

Answer:

w [tex]\leq[/tex] 50

Step-by-step explanation:

HELLLPPPPPPP! PLZZZZ DUE TODAYYYY!

Answers

Answer:

it is the first one

Step-by-step explanation:

In a school of 500 students, 30% had I-Phones. The percent of boys to gi
were 25% and 75% respectively.
A. Calculate (I) the number of students with I-PhonesIn a school of 500 students, 30% had I-Phones. The percent of boys to gi
vere 25% and 75% respectively.


Answers

Answer:

tbh,I would calculate the girls to boys ratio.

Step-by-step explanation:

I mean, them boys gotta be in female heaven.

25% of them, the rest being girls, dang, imagine being handsome. lots of gf's

and FYI, it's iPhone not an i-phone.

Please help for brainliest!!:)

Answers

Answer:

d)

Step-by-step explanation:

we know, that i = sqrt(-1)

so, i² = -1

i³ = -i

i⁴ = -i × i = - -1 = 1

i⁵ = i⁴×I = 1×i = i

and the cycle begins again for any higher exponents.

so, we find out what i^n is, by dividing n by 4 and look at the remainder.

remainder = 0, i^n = 1

remainder = 1, i^n = i

remainder = 2, i^n = -1

remainder = 3, i^n = -i

so, what is 139 in this regard ?

139 ÷ 4 = 34

remainder 3

so, i¹³⁹ = -i

a) 322 ÷ 4 = 80

remainder 2. not equivalent.

b) 304 ÷ 4 = 76

remainder 0. not equivalent.

c) 221 ÷ 4 = 55

remainder 1. not equivalent.

d) 239 ÷ 4 = 59

remainder 3. this IS equivalent.

three less than a number is -18

Answers

Answer:

-15

Step-by-step explanation:

work in reverse

-18 is three less than something

that means that something is 3 more than -18

so

add 3 to -18

-18+3= -15

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