Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 10 feet and a height of 8 feet. Container B has a diameter of 12 feet and a height of 7 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.

To the nearest tenth, what is the percent of Container B that is full after the pumping is complete?

Answer:

y = 1/6x -4

Step-by-step explanation:

First find the slope

m= ( y2-y1)/(x2-x1)

m=(-5 - -3)/( -6 -6)

   = (-5+3)/ (-6-6)

       = -2/-12

       = 1/6

The slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = 1/6 x +b

Substitute a point into the equation

-5 = 1/6(-6) +b

-5 = -1+b

Add 1 to each side

-4 = b

y = 1/6x -4

Answer:

y=1/6x-4

Step-by-step explanation:

Answer:

1=6

2=2

3=12

edge 2021 the 1st girl was right for the 2nd one but the rest was wrong..

Step-by-step explanation:

Answer:To verify the answer with a model, you could show

✔ 6

circles.

Each circle would be divided into

✔ 2

equal parts.

✔ 12

parts would be shaded.

Step-by-step explanation:am nice trust,

Answer:

probably √125

Step-by-step explanation:

so x is between 10.9 and 11.1

What i did was added those to together and then divided them by 2 so that i could find the average between them:

10.9 + 11.1 = 22

22/2=11

so you have 11 as your average.

now what i did was find the value of each answer choice to see which one was closest to 11 and the square root of 125 is just that.

The best approximation of decimals 10.9 and 11.1 is 11.

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Given that, location of x in number line

x = 10.9 and x = 11.1

Now, to estimate the value we will round up both digits and find the average.

In 10.9 round up to 11 and 11.1 will round down to 11

Now average = (11 +11)/2 = 11

Therefore, the best approximation of decimals 10.9 and 11.1 is 11.

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Answer:

f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.

Step-by-step explanation:

First, to be closed means that once an operation has commenced, the result is a polynomial, just like the two original ones.

When polynomials are multiplied, exponents simply add together, and constants are multiplied. A polynomial is a finite sum of terms in which all variables have whole numbered exponents.

In this scenario, when we multiply polynomials, exponents are solely added together, and one whole number plus another is still a whole number. Similarly, constants multiplied by constants stay as constants, and constants multiplied by variables keeps it in polynomial form. (e.g. 3 * x² makes it 3x², and 3x² is fine in a polynomial).

Therefore, given these facts, f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.

Answer:

50 muffins

Step-by-step explanation:

20 : 40%

y : 100%

[tex]\frac{20}{y} :\frac{40}{100}[/tex]

y · 40 = 20 · 100

40y = 2000

40y ÷ 40 = 2000 ÷ 40

y = 50

Answer:

50

Step-by-step explanation:

first you must find out how many muffins are in 1%, that will be .5 muffins which also meens that every 2% there will be 1 muffin. so we do 100 dived by 2 and you will get 50 which is the amount of muffins that will be made

Answer:

See explanation

Step-by-step explanation:

Let

x = number of messages Salma sent

x + 9 = number of messages Brian sent

2(x + 9) = number of messages Chang sent

Total messages sent = 55

x + (x + 9) + 2(x + 9) = 55

x + x + 9 + 2x + 18 = 55

4x + 27 = 55

4x = 55 - 27

4x = 28

x = 28/4

x = 7

Number of messages Salma sent = x = 7 messages

Number of messages Brian sent = x + 9

= 7 + 9

= 16 messages

Number of messages Chang sent = 2(x + 9)

= 2(7 + 9)

= 2(16)

= 32 messages

Answer:

Step-by-step explanation:

Your checkmarks are in the right places. So the answers are correct that you have chosen.

Answer:

y=0   y=-3

Step-by-step explanation:

Just trust me ;)

Answer:

336 m³

Step-by-step explanation:

You just have to multiply the height × width × lenght:

12×14×2=336

Answer:

This question is so complex

Step-by-step explanation:

kfdsjbdsnmvn sdbvjhsbadjvm dashbnvdjnzcxshjd

Answer:

1) 3,3

2) 4,5

3) 6,1

4) 1/36

There are 36 possible outcomes when you roll a dice. Rolling two 3s is only one of the possible outcomes. Therefore, the fraction 1/36 can represent this probability.

Answer:

Step-by-step explanation:

first arrange the data from ascending to descending order.

11 , 12 , 15 , 17 , 19 , 20 , 21 , 22

Median(Q2)=(N+1)/2

=8+1/2

=9/2

=4.5 th term

=(4 th term + 5 th term)/2

=(17+19)/2

=36/2

=18

therefore the median of the set of data is 18.

Answer 813.8

Step-by-step explanation:

Well 813.8 is the answer. Why? Lets talk it out if there are 75 submissions and it says Paul will accept 2/5 of the submissions so we have to do is 75- 2/5 will be 74.6 and multiply by 13 because 13 pages is in a article so we got 969.8 and then minus 156 because it asking us how many "more" pages they need so 813.8 is the answer if you subtract 969.8 and 156.

Answer:

y = 5x - 13

Step-by-step explanation:

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

plug in: y1 = -3,  x1 = 2,  m = 5

y - (-3) = 5 (x - 2)

y + 3 = 5x - 10                                     <- simplify and expand

y = 5x - 13                                    <answer for slope intercept

equation: y = 5x - 13

I'm not sure what equation type you would like as well as your possible answer choices, but I hope this helps!

Answer:

1/24

Step-by-step explanation:

5/120 which simplifies to:  1/24

Answer:

c

Step-by-step explanation:

We are dividind how 100 can fit in 15 seconds

which is 100 /15

therefore when C when u tak it to the other side it divides 100 in 15

d×15=100

d=100/15

Let the third side be x

using Pythagoras theoram

x²+4²=7²

x²= 49-16

x²= 33

x=√33

Answer:

d

Step-by-step explanation:

Answer:

10

Step-by-step explanation: can u tell me if am right

Answer:

I believe the slope would be -2

Step-by-step explanation:

The line goes down 2 boxes and over 1 box before it intersects with another point.  Knowing slope = [tex]\frac{rise}{run}[/tex], we know that slope = [tex]\frac{-2}{1}[/tex] which is equal to -2.

Answer:

49.6% of container A is still full

Step-by-step explanation:

volume of a cylinder : pi×r²×h

Va = pi × 12² × 15 = pi×144×15 = 6785.84013... ft³

Vb = pi × 8² × 17 = pi×64×17 = 3418.05281... ft³

how much of A is still filled, when B has been completely filled ?

Va left = Va - Vb = 3367.78732... ft³

100% of Va = 6785.84013... ft³

1% of Va = 67.8584013... ft³

so, how often does 1% of Va fit into the remaining filing volume of A (Va left) ?

3367.78732... / 67.8584013... = 49.6(2962963...)%

Answer:

300

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

4 squares and each square has 2 slots out of 3 filled in

4×2/3

Answer:

x = 1.43

Step-by-step explanation:

14x = 20

x = 20/14

x = 14.3

Answer:

Length = x + 2

Width = x +10

Step-by-step explanation:

[tex]Area = Length \times Width[/tex]

[tex]x^2 + 12x +20 = Length \times width\\\\x^2 + 2x + 10x + 20 = Length \times width\\\\x(x+2)+10(x+2) = Length \times width\\\\(x+2)(x+10) =Length \times width\\[/tex]

Length = x + 2

Width = x +10

Answer:

500000

Step-by-step explanation:

yeah boi

From the given equation, [tex]4^{t}[/tex] represent the number of bacteria increases by a factor of 4 each day.

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

A microbiologist during a study on a culture of 250 bacteria noticed that he can model the number of bacteria after t number of days by the equation

[tex]B = 250 \times[/tex] [tex]4^{t}[/tex]

t stands for training days(Add one to the power of 4 every day)

Every day is four time more than the day before.

So, the number of bacteria increases by a factor of 4 each day.

So, this answer is Option C.

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Answer:

3) The value of k is 8. 5) The slope of the line y=-17x+47/3 is -17.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(k-5)/(2-1)

m=(k-5)/1

m=k-5

k-5=3

k=3+5

k=8

----------------------

5) y=mx+b where m=slope and b=y-intercept.

Yes, you can post it and I'll try to answer

Answer:

1,099 cubic inch or 18.01 liter

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Radius (r) = 5 inches

Height (h) = 14 inches

So, Volume of can = π[tex]r^{2}[/tex]h

By putting the value in the formula, we get

= π [tex]5^{2}[/tex] × 14

= π 25 × 14

= 350π

= 350 × 3.14

= 1,099 cubic inch

As 1 liter = 61.02 cubic inch

So, 1,099 ÷ 61.02 = 18.01 liter

Answer:

40217.6 cubic feet

Step-by-step explanation:

Given data

Diameter= 40feet

Radius= 20feet

Height=32feet

The expression for the volume is given as

V= πr^2h

Substitute

V= 3.142*20^2*32

V= 3.142*400*32

V=40217.6 cubic feet

Hence the volume of the tank is 40217.6 cubic feet