Answer:
15 g/L
Step-by-step explanation:
Since Brine is added to the tank containing 15g/L at a rate of 25 L/min, the rate at which the quantity of salt in the tank increases is 15 g/L × 25 L/min = 375 g/min. So, in t minutes, the mass of salt in the tank, m is 375 g/min × t min = 375t
Also, the volume of the tank increases by 25 L/min, in t minutes, its volume increases by 25 L/min × t min = 25t. So, the new volume, V is 3000 + 25t.
Since we know, concentration C(t) = m/V = 375t/(3000 + 25t)
dividing through by 25, we have
C(t) = 375t/25/(3000/25 + 25t/25)
C(t) = 15t/(120 + t)
To find the limit as t ⇒ ∞, we divide C(t) by t
C(t) = 15t/t/(120/t + 1)
C(t) = 15/(120/t + 1)
putting t = ∞, we have
C(∞) = 15/(120/∞ + 1)
C(∞) = 15/(0 + 1)
C(∞) = 15/1
C(∞) = 15 g/L
So, as t t → [infinity], the concentration approaches 15 g/L
How does -2(8 + 6g) equal -16 - 12g.
Answer:
use mathwa.y
Step-by-step explanation:
Factor completely.
7x5 – 21x4 + 14x3 =
=
[tex]7x^5-21x^4+14x\\ \\ 7x^3(x^2-3x+2)\\ \\ 7x^3(x-1)(x-2)[/tex]
Write down the first even multiple of 9
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 !!
Expanded form of -3(4x+7y)
Answer: -12x-21y
Step-by-step explanation:
-3(4x+7y)
-3(4x)-3(7y) <--- Distribute by mulitplying each varibalbe by "-3"
-12x-21y
Candice got a preloaded debit card for her birthday, and she finally knows what she wants to buy with it! She's going to buy a concert ticket for her favorite band, The Whisper Cats. The ticket will cost $128.93 after taxes. After buying the ticket, Candice will have $71.07 left on the card to buy band merchandise at the concert.
Let c represent how much money is on the card. Which equation models the problem?
Solve this equation to find how much money is on the card.
is it add or subtract correct answer get brainliest
WILL GIVE BRINALIEST!
Suppose the daily high temperatures for a six-day period in a northern city were −23°F, −29°F, −28°F, −27°F, −21°F, and −28°F. Calculate the average daily high temperature.
°F
-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
PLEASE HELP ME SOMEONE
Answer: A
Step-by-step explanation:
Larry could ______ to make his budget work and afford the ticket.
Answer:
I need the answer choices
Step-by-step explanation:
-7 + 5 = 19
Help PLS
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
Triangle PQR has the following coordinates:
P(-9, -12)
Q(-6, -13)
R(-7, -4)
Where is Q’ after a translation 9 units right and 11 units up?
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)
Keep your dreams alive. To accomplish anything requires faith, vision, hard work, and dedication. Remember all things are possible for those who believe.” Write about three factors you need to accomplish your goals and make your dreams come true. Use evidence from your daily life. Provide a suitable title and then develop your ideas in a well-organized essay of (150-200 words). Your essay should have a thesis statement that states the main idea(s), topic sentence(s) that you elaborate well by giving sufficient details and examples, and a meaningful conclusion. Remember to revise and proofread your essay.
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.
If M angle 4=25 degrees, then what is M angle 8? Please help me, I need this done today, and I have tried everything
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
2
-6
4
2
2
-2-
4
-6-
-8
(a) The function f is increasing over which intervals? Choose all that apply.
O (-0,-8)
(-8,-5) 0 (-1,3)
0 (-1,7)
(7,9)
O (9, )
Х
(b) The function f has local maxima at which x-values? If there is more than one value,
separate them with commas.
Answer:
hi
Step-by-step explanation:
Perdon si no te ayudo pero solo quiero los puntos para mis preguntas
The polynomial n(x) = 3x4 - 9x3 + x2 – 3x has a factor of (x – 3).
Complete each of the 2 activities for this Task.
Activity 1 of 2
Part A: State the number of roots of the polynomial n(x).
A. 2 real roots; 2 complex roots
B. 4 real roots
O C. 3 real roots; 1 complex root
0
D. 1 real root; 3 complex roots
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".
Learn more:
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You find a sales receipt from a store that shows the total price as $40, and the total amount paid including sales tax as $42.
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:
In a right triangle, the measure of one acute angle is twice the sum of the measure of the other acute angle and 30. Find the measure of each acute angle in the triangle
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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Pleaseeee helpppp answer correctly !!!!!!!!!!!!!! Will Mark Brianliest !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
I'm not really sure what the answer is here but I think it's 20...
50 time 40 please awnser correctly
Answer:
2000
Step-by-step explanation:
50 * 40 = 2000
Answer:
the awnser is 2000 have a nice day
ILL GIVE U BRAINLYIST
Answer:
C a rectangle 4 by 3
Step-by-step explanation:
Please help! Will mark brainliest
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
planning a skating party at original charges $19 base free and $7 per person for catered parties you don't want to spend more than $130 write a inequality for the situation and find the maximum people you can invite
Answer: List all of the solutions.
19
=
7
=
130
=
explanation:
Can some please help me with this question please I would give brainliest and 5 stars to anyone who answer and plus explain me how to do this on a numbeline and this is an integer question on math
please please❤❤ I AM NOT JOKING I WOULD SERIOUSLY GIVE ANYONE BRAINLIEST ID YOU ANSWER
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
DUE TODAY PLEASE HELP WITH
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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A rectangular room is 15 feet long and 10 feet wide. A scale drawing of the room has a width of 5 inches. What is the length of the room in the drawing??
A. 10.0 inches
B. 5 inches
C. 7.5 inches
D. 30.5 inches
To find the area of a composite figure, you must find the area of each polygon
and then add their areas together to find the total area of the composite figure.
What is the height of the triangle?
A. 13cm
B. 6cm
C. 8cm
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
Water flows through a pipe at a rate of 89 quarts per hour. Express this rate of flow
in cubic meters per month. Round your answer to the nearest tenth.
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.
What is the rate of flow?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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I will give brainliest to whoever gets them both right! Needed ASAP (5 and 6)
Answer:
5. Slope: 2
Y-intercept: 3
6. Slope: 1/2
Y-intercept: 5
Step-by-step explanation:
Muffins cost $3.00 per dozen.
Andre says, “I have $2.00, so I can afford 8 muffins.”
Elena says, “I want to get 16 muffins, so I’ll need to pay $4.00
D you agree with either of them? Explain your reasoning.
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.
Dell is a salesperson he sold a snowboard for $117 and earn 14% commission how much commission did Dell earn
Answer:
Dell made $16.38
Step-by-step explanation:
Eli is following this recipe to bake bread rolls.
He uses 700 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
420 g flour
21 g salt
9 g yeast
45 mL oil
300 mL water