A tank contains 3000 L of pure water. Brine that contains 15 g of salt per liter of water is pumped into the tank at a rate of 25 L/min. The concentration of salt after t minutes (in grams per liter) is C(t) = 15t 120 + t . As t → [infinity], what does the concentration approach? g/L

Answer:

use mathwa.y

Step-by-step explanation:

-21,  -23, -27, -28, -28, -29 order them least to greatest and then find the middle if there is not a middle then put -27.5 as your answer for the median. For the mean add up all the number then you should get -156 then divide it by 6 which should give you -26 for the mean.  and for the mode you should get -28 as the one that occurs the most often.

mean: -26

median: -27.5

mode: -28

Answer:

C a rectangle 4 by 3

Step-by-step explanation:

Answer:

I agree with both of them

Step-by-step explanation:

A dozen is 12 muffins. Therefore, you pay $3.00 for 12 muffins.

We know that you pay $3.00 for 12 muffins we need to find out how much EACH muffin cost. For that we need to divide $3.00 by 12 which is 0.25.

Now we need to know how much it will cost us for 16 muffins. We use our equation 16*0.25 which is 4. Elena said she will pay 4 so she is right.

Andre said he will buy 8 muffins so we use our equation again 8*0.25 which is 2. He said he will pay 2 so he is right.

Answer:

Step-by-step explanation:

if we have a right triangle,

one angle=90

180-90=90

let x be one angle, and y another angle

the other is 2x+30

x+2x+30=90

3x=60

x=20

y=70

The measure of each acute angles are 80 degrees and 10 degrees.

The triangle is a right angle triangle. This means one of its angles is 90 degrees.

The other 2 angles sum up to 90 degrees.

An acute angle is less than 90 degrees.

The measure of one acute angle is twice the sum of the measure of the other

acute angle and 30. Therefore,

first acute angle  = x

let the other angle  = y

y = 2(x + 30)

y = 2x + 60

2x - y = -60

x + y = 90

3x = 30

x = 30 /3

x = 10 degrees

y = 90 - 10

y = 80 degrees

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Answer:

2000

Step-by-step explanation:

50 * 40 = 2000

Answer:

the awnser is 2000 have a nice day

Answer: List all of the solutions.

19

=

7

=

130

=

explanation:

Answer:

I need the answer choices

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Perdon si no te ayudo pero solo quiero los puntos para mis preguntas

Answer:

Step-by-step explanation:

A person who never dreams will never be able to reach anywhere. Thus, dreams stand to be the driving forces behind success. It keeps you moving ahead, without which you would have led a life of a corpse. Consequently, dreaming isn’t just enough! You ought to put your hard work, determination, dedication, too, in reaching the goal. These three elements are essential to help you achieve all that you have craved for! Hard work has no substitute, and there is no shortcut either! Besides, consistency plays a vital role in deciding your success. Distractions are sure to interrupt your path, but it is essential to understand that you must never get carried away by them. Therefore, only if you have a clear vision, you will be able to reach the destination. Last but not the least, it is important to understand that in order to achieve something, you need to have faith in yourself. Keep that belief upon yourself and only then will you be able to fetch success.

Answer: -12x-21y

Step-by-step explanation:

-3(4x+7y)    

-3(4x)-3(7y)   <--- Distribute by mulitplying each varibalbe by "-3"

-12x-21y

Answer: A

Step-by-step explanation:

Answer:

The answer is 18. Coz 2*9= 18

Answer:

18

Step-by-step explanation:

its the second multiple of 9, and an even number, since 9 x 2 = 18 !!

hope this helped !!

Answer:

Ok, Heres some facts I guess, I dont really know.

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As the weeks go by, Jonas learns all the colors, but still sees only glimpses of them in the world around him.

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Jonas is angry that the world is devoid of color; it's not fair, he says.

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The Giver asks him to explain. Jonas argues that without color, there aren't choices. He can't decide in the morning whether he wants to wear blue or red. He knows what color your shirt is isn't really important, but he thinks the ability to choose at all is what matters—on principle.

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Jonas elaborates by discussing Gabriel, whom The Giver already knows about. What if Gabriel could choose which color toy he wanted?

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The Giver explains that, if that were the case, then Gabriel might make the wrong choices.

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Jonas realizes the wisdom. He agrees that people shouldn't be allowed to choose their own spouses or jobs, because they might be wrong. "We really have to protect people," he says, "from wrong choices," because that way "it's safer."

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Well, that was quick. So much for Jonas the freedom-lover.

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Still, though, Jonas doesn't quite feel satisfied with his own conclusion. He feels frustrated.

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Actually, he feels angry. All the time. He's angry at his friends, for example, for being satisfied with their lives, which are so dull and not vibrant.

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He even tries to get Asher to see color one day, which doesn't go over so well, especially when he tries to touch Asher to make him see it. (Touching is a no-no in this community.)

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Step-by-step explanation:

I put lines between em' just for fun

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Answer:

Dell made $16.38

Step-by-step explanation:

[tex]7x^5-21x^4+14x\\ \\ 7x^3(x^2-3x+2)\\ \\ 7x^3(x-1)(x-2)[/tex]

Answer:

60.6 on delta math

Step-by-step explanation:

The rate of the flow will be 1.12 x 10⁻⁴ cubic meters per meter.

The rate of the flow of the fluid is defined as the volume of the fluid through a confined space or cross-section in a unit of time. The unit of the rate of flow is gallons per minute or cubic meter per minute.

Given that water flows through a pipe at a rate of 89 quarts per hour the value of the rate of flow in cubic meters per month will be calculated as below:-

1 quartz = ( 1 / 1056.688) cubic meters

1 quartz = ( 89 / 1056.688)

1 quartz = 0.08 cubic meters

1  quartz per hour = 0.08 / ( 24 x 30) cubic meters per month

1  quartz per hour =1.12 x 10⁻⁴ cubic meters per month

Therefore, the rate of the flow will be 1.12 x 10⁻⁴ cubic meters per meter.

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#SPJ2

Answer:

5. Slope: 2

Y-intercept: 3

6. Slope: 1/2

Y-intercept:  5

Step-by-step explanation:

Answer:

Solving your equation gives you $2.00.

2/40 = 0.05 = 5%

Step-by-step explanation:

happy to help ya :)

Answer:

So they charged $2 for every 40 dollars, so simplify. 2/40 divided by 2 = 1/20 is the unit rate

Step-by-step explanation:

Step-by-step explanation:

19 is the answer I'd don't know why it's so hard

Answer:

-7 + 5 = -2

Step-by-step explanation:

I used calculator

Answer:

65 degrees

Step-by-step explanation:

The question is not complete but we can assume that m<4 and m<8 are complementary i.e they both act at right angle.

If the both act at right angle, then m<4 + m<8 = 90

Given

m<4 = 25°

Substitute into the formula

m<4 + m<8 = 90

m<8 = 90 - m<4

m<8 = 90 - 25

m< 8 = 65 degrees

Hence the measure of m<8 is 65 degrees

Note that we assumed that both angles acts at right angles

Answer:

6 cm

Step-by-step explanation:

Here, we want to get the height of the triangle

As we can see , the whole

length is 13 cm

This is obtained by adding the length of the side of the rectangle to the height of the triangle

Thus, we have that

height = 13-7

height = 6 cm

Answer:

Step-by-step explanation:

I'm not really sure what the answer is here but I think it's 20...

Answer:

surface area=602.88 in^2+

Step-by-step explanation:

top & bottom:

6^2 x Pi x2=36 x 3.14x2=226.08 in^2

vertical side:

circumference X height

2(6)(Pi)x10=2(6)(3.14)(10)=376.8 in^2

376.8+226.08=602.88 in^2

surface area=602.88 in^2

Answer:

-12degrees Celsius

Step-by-step explanation:

-3+5=2 1:00pm

2-2=0 6:00pm

(10-6=4)

4(3)=12, 0-12=-12 10:00pm

i hope this helps!

Answer:

-12° C

Step-by-step explanation:

Temperature at 8 a.m.: -3° C

From 8 a.m. to 1 p.m. the temperature went up 5° C.

-3° C + 5° C = 2° C

Temperature at 1 p.m.: 2° C

By 6 p.m. the temperature was 2° C colder than at 1 p.m.

2° C - 2° C = 0° C

Temperature at 1 p.m.: 0° C

The temperature decreased 3° C per hour from 6 p.m. to 10 p.m.

From 6 p.m. to 10 p.m., it's 4 hours. The temperature decreased 3° C per hour for 4 hours. 4 * 3° C = 12° C. The temperature went down 12° C altogether from 6 p.m. to 10 p.m.

0° C - 12° C = -12° C

Temperature at 10 p.m.: -12° C

Answer: -12° C

Answer:

P(0, -1)

Q(3, -2)

R(2, 7)

Step-by-step explanation:

9 units right : +9 to each x-coordinate

11 units up: +11 to each y-coordinate

P(-9+9, -12+11) = P(0, -1)

Q(-6+9, -13+11) = Q(3, -2)

R(-7+9, -4+11) = R(2, 7)

Answer:

Step-by-step explanation:

2 real roots and 2 complex

Following are the solution to the given polynomial equation:

Given:

Polynomial equation: [tex]\bold{n(x) = 3x^4 - 9x^3 + x^2 -3x}[/tex]

Factor: [tex]\bold{(x -3)}[/tex]

To find:

A number of roots for the polynomial n(x).

Solution:

Polynomial equation: [tex]\bold{n(x) = 3x^4 - 9x^3 + x^2 -3x}[/tex]

[tex]\to \bold{(x -3)=0}\\\\\to \bold{x =3}\\\\[/tex]

Putting the of x into the given Polynomial function:

[tex]\to \bold{n(3) = 3(3)^4 - 9(3)^3 + (3)^2 -3(3)}\\\\\to \bold{n(3) = 3\times 81 - 9\times 27 + 9 -3 \times 3}\\\\\to \bold{n(3) = 243- 243 + 9 -9}\\\\\to \bold{n(3) = 0}\\\\[/tex]

Let divide the Polynomial function by the factor:

[tex]\to \bold{\frac{3x^4 - 9x^3 + x^2 - 3x}{x-3}}\\\\\to \bold{\frac{ x(3x^3 - 9x^2 + x - 3)}{x-3}}\\\\\to \bold{\frac{ x(3x^2(x - 3)+1(x - 3))}{x-3}}\\\\\to \bold{\frac{ x(x - 3) (3x^2+1)}{x-3}}\\\\\to \bold{x(3x^2+1)}\\\\[/tex]

So, the factors are [tex]\bold{x, (x-3),\ and \ (3x^2+1)}[/tex].

Calculation of the roots:

[tex]\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x-3=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x^2+1 =0}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x^2 = -1}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^2 = -\frac{1}{3}}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^2 = (- \sqrt{\frac{1}{3}})^2}\\\\[/tex]

Therefore the final answer is "Option A".

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