Answers
Answer: 1
f(x) = 3x - 4 => f(3) = 3.3 - 4 = 9 - 4 = 5
g(x) = x² => g(2) = 2² = 4
=> f(3) - g(2) = 5 - 4 = 1
Step-by-step explanation:
Related Questions
Please help me hahahhahahhahahhhhhhshshs can
Answers
Answer:
The slope of this line is -2/3x.
Step-by-step explanation:
The slope can be found by getting x1 and y1 (0,3) and x2 and y2 (3,1). Once you have these you would do y2 - y1 / x2 - x1.
And the equation then is
1 - 3 / 3 - 0. After simplifying this you get -2/3.
Suppose there are two lakes located on a stream. Clean water flows into the first lake, then the water from the first lake flows into the second lake, and then water from the second lake flows further downstream. The in and out flow from each lake is 500 liters per hour. The first lake contains 100 thousand liters of water and the second lake contains 200 thousand liters of water. A truck with 500 kg of toxic substances crashes into the first lake. Assume that the water is being continually mixed perfectly by the stream.
a. Find the concentration of toxic substances as a function of time in both lakes.
b. When will the concentration in the first lake be below 0.001 kg per liter?
c. When will the concentration in the second lake be maximal?
Answers
Answer:
a. For the first lake;
c = (m·t - 0.005·m·t²)/100000
For the second tank, we have;
c = m·t/200 - m·t²/80000
b. t ≈ 1.00505 hours
c. 200 hours
Step-by-step explanation:
The flow rate of water in and out of the lakes = 500 liters/hour
The volume of water in the first lake = 100 thousand liters
The volume of water in the second lake = 200 thousand liters
The mass of toxic substances that entered into the first lake = 500 kg
The concentration of toxic substance in the first lake = m₁/(100000)
Therefore, we have;
The quantity of fresh water supplied at t hours = 500 × t
The change
The change in the mass of the toxic substance with time is given as follows
dm/dt = (m - m/100000 × 500 × t)/100000
c = (m·t - 0.005·m·t²)/100000
For the second tank, we have;
c = m/100000 × 500 × t - (m/100000 × 500 × t)/200000 × 500 × t
Using an online tool, we have;
c = m·t/200 - m·t²/80000
b. When c < 0.001 kg per liter, we have m < 0.001 × 100000, which gives m < 100
Substituting gives;
0.001 = (100·t - 0.005·100·t²)/100000, solving with an online tool, gives;
t ≈ 1.00505 hours
c. For maximum concentration, we have;
c = m·t/200 - m·t²/80000
m/200000 = m·t/200 - m·t²/80000
1/200000 = t/200 - t²/80000
dc/dt = d(t/200 - t²/80000)/dt = 0
Solving with an online tool gives t = 200 hours
IS THIS A GOOD SONG
Life Is Fun
The odd1sout
Ahhh! Such a beautiful day, uh (Yeah)
The sun's shining in a beautiful way, uh (Whoo)
Gonna take a shower, brush my teeth and
Life is ultimately meaningless
Uhh... Uhh...
But I'll get out of the house
Get on the road, top down, hands out
Put on my favorite song and nod to the rhythm
The planet's being destroyed by your carbon emissions
But I- I-, I'll head to class
Try my best on every test 'til I pass
And my grades are screaming in my face, hey
98 percent of what you learn is a waste
I get to hang out with all my friends (Yeah)
My friends are the friendliest friends
Can't think of a better way to spend my time
Your brain is flawed, and all your friends will die
Never mind!
I'm alive in the greatest nation!
So proud of the exploitation of natives
This graceful bird means freedom for all
Tell that to the slaves, and bald eagles aren't bald
I can live in the moment, milk every second
At any time you could get clinical depression
But I'll just be happy, no matter what's in store
It's quite genetic, and we have no cure
Uh, at least
We are young
Not for long
Life is fun
It only goes downhill
We gotta make the most of it! Make the most of it!
Or you'll regret it
We are young
For now
Life is fun
For some people
We gotta make the most of it! Make the most of it!
Good luck
Woo! I got a brand new job today! (Yeah)
Doin stuff that'll help the economy (Uh)
I'll save money and buy things at the store
Banks can crash and capitalism is flawed
And it's all because of my hard work
And the thousand advantages you lucked into at birth
I put a lotta effort in my resume!
Good thing you don't have a black person's name
I'm proud to be a functioning member of society
Finally, I can be the citizen I dream to be
Part of the community, contribute with my tax
What could possibly stop me?
The shrinking middle class
I've at least got a nice stable job
Until it's outsourced to China or replaced by a robot
OH GOD! Well, then I could relax a bit
You'll be empty with nothing to distract from it
But man, I'm a passionate graduate
I can be different, and I have a career paths to pick from
I could be a rapper or an animator if I'm lucky
Neither of those will make you happy, trust me
I'm able to choose what I pursue (Yeah)
You're a slave to people born richer than you
Then screw it, I'll keep going in
Then I'll party on the weekend and sing, no, oh, oh oh
Thanks to autotune
We are young
Not for long
Life is fun
It only goes downhill
We gotta make the most of it! Make the most of it!
Or you'll regret it
We are young
We still die
Life is fun
Until you die
We gotta make the most of it! Make the most of it
Because you'll die
Life is a wonder
You'll never know the answer
Nature is a miracle
Natural disasters
It's good to be alive
You could wake up with cancer
But I'm healthy
Healthy people still get cancer
I love this show
It's the last episode
The sun is shining
It's going to explode
Every species is beautiful and unique, though
Children have malaria thanks to mosquitoes
I met a cute girl with a ponytail
Statistically that relationship is going to fail
I have a wonderful family, it's like no other
You're not special, and one day you'll bury your mother
No matter what, I can find a home!
We, Will All, Die, Alone
There's amazing potential in every human on earth
There's no escaping the heat death of the universe
I don't have to live life based on negative parts
No matter how bad they are, they're just thoughts
Yeah, that's fair
Wait, really?
Yeah that seems reasonable
Wait, wait, wait, wait but you were just telling me to-
Whatever man, I dunno, live your life how you want
I'm not forcing you to do anything, I'm just saying
Oh...
Well in that case...
We are young!
Life is fun!
We gotta make the most of it! Make the most of it!
We are young!
Life is fun!
We gotta make the most of it! Make the most of it!
Enjoy it while it lasts
Answers
Answer:
i forgot about it but ye its cool
Step-by-step explanation:
ooh I love life is fun it one of a good songs
Which expression is equivalent to (4n³p)²(2n²p⁴)³?
a. 128n³⁶p²⁴
b.48n¹²p¹⁴
c.128n¹²p¹⁴
d.48n³⁶p²⁴
Answers
Answer:
C: 128n¹²p¹⁴
Step-by-step explanation:
I plugged this into my TI-89 calculator and got this answer. Let me know if you need the step by step explanation and I'll be more than happy to hand-solve it for you!
Please help me guys I beg you
Answers
Answer:
A. The amount of water in the fountain decreases 3 cm each day from a starting depth of 24 cm
Step-by-step explanation:
It starts at 24 cm, we know that, so we can cross out B and D
We know the amount of water is decreasing so we can cross out C.
That leaves A as your answer :)
Hope this helps :)
Please consider Brainliest :)
Can someone please answer the questions
Answers
Answer:A. Most cats were in the 7th month and least in the 1st. B. Looking at the graph is legit straight up lit facts. C. I cannot justify the correlation. D. Well we could just kill off all the cars and be down with them falling out the stupid window or we can get them smarter owners
Step-by-step explanation:
7 + 5x = 2x + 25
step by step pls:(
Answers
Answer:
x = 6
Step-by-step explanation:
7 + 5x = 2x + 25
first subtract 7 from both sides to isolate 5x on the left
5x = 2x + 18
then subtract 2x from both sides to isolate all of the x terms to one side
3x = 18
then divide 18 by 3 to solve for x
x = 6
hope this helped!! :)
Answer:
i got you, i wrote it out and all gimme brilliantness
Step-by-step explanation:
What is the rate of change of y= 34x - 2
Answers
A bus covers 270 km distance in 6hrs i) Find the speed of the bus in the km/per hr ii) how many kilometer does it travel in 9hrs at the same speed? (Unitary method)
Answers
Answer:
Distance=Speed×Time
When speed is 40 kmph
Distance traveled by car =40×9
=360 km
When speed is 60 kmph
Time taken to complete the journey =
60
360
=6 hours
Answer:
270 ÷ 6 = 45
45 x 6 = 270
45 x 9 = 405
The answer is 405
Hope it helped❤️
The volume of a cube can be written as a function of its edge length, V(x) = x^3. Which is a correct interpretation of V(2x)?
(A) The volume of a cube doubles when its edge length doubles.
B) The volume of a cube increases by a factor of 4 when its edge length doubles.
©
The volume of a cube increases by a factor of 6 when its edge length doubles.
D The volume of a cube increases by a factor of 8 when its edge length doubles.
Answers
Answer:
D The volume of a cube increases by a factor of 8 when its edge length doubles
Step-by-step explanation:
Volume of a cube is represented by the function
[tex]V(x)=x^3[/tex]
where [tex]x[/tex] represents the edge length of the cube
Now when [tex]x=2x[/tex] i.e., when the edge length is doubled we have
[tex]V(2x)=(2x)^3\\\Rightarrow V(2x)=8x^3\\\Rightarrow V(2x)=8(V(x))[/tex]
It can be seen that the volume of the cube increased by 8 times when edge length doubles.
Answer:
the answer is d
Step-by-step explanation:
Which equation is true for the value b= 10?
O A.
2(b + 4) = 16
O B.
2(b + 2) = 40
O C.
3(b- 2) = 24
OD
2(8 + b) = 42
OE.
3(b - 4) = 20
Answers
Answer: C. 3(b-2)=24
Step-by-step explanation: See since b equals ten and by the rules of P.E.M.D.A.S the parenthesis/brackets comes first so 10-2 equals 8 and three times 8 is 24 therefore the answer is 24
. 6.8 • 102
Help me c:
Answers
Answer:693.6
Step-by-step explanation:
102
6.8
8• 2 16
Write 0.272727272727273 as a fraction in simplest form
Answers
Answer:
27/100?
Step-by-step explanation:
can someone please help me with math
-please and thanks.
Answers
Answer:
x(x+6)
which is 2
Step-by-step explanation:
Im new can u pls mark me brainliest
Tom has $5.05 in quarters and dimes. How many coins are quarters if the total
number of coins is 28? Try creating a system of equations and solving this by either
substitution or elimination.
quarters
Help due by 8 am tm
Answers
Answer: The answer would be 7.03
Step-by-step explanation: cause you gotta get the 28 in there i hope im right
Answer:
15 quarters
Step-by-step explanation:
Assuming q = quarters and d = dimes...
First, set up the equations. q + d = 28 since we have 28 coins, and the latter is because a quarter is worth $0.25 and a dime is worth $0.1 - totaling $5.05.
q + d = 28
.25q + .10d = 5.05
Try to get one of the variables equal to the equation above. In this case, I tried to get the "q" variables equal to each other.
q + d = 28
4(.25q + .10d) = 4(5.05)
After this, you "subtract" the two equations from each other. Remember that d = 1d, and 1 - .4 = .6
q + d = 28
q + .4d = 20.20
Divide both sides by .6 to get d by itself.
.6d = 7.8
There are 13 dimes.
d = 13
Subtract 13 from the total coins (28) to get the amount of quarters.
28 - 13 = 15
13 dimes, 15 quarters. Hope this helped!
Tim has 4 cheese sandwiches, 3 turkey sandwiches, and 2 tuna sandwiches to choose from. He picks two sandwiches at random, one at a
time, without replacing them. What is the probability that Tim picks a cheese sandwich first and a tuna sandwich second?
A) 1/9
B) 1/3
C) 2/3
D) 3/4
Answers
Answer:
C 2/3
Step-by-step explanation:
this is because there are three different types of sandwiches and he picks two out of the three.
Write the equation of line
that has slope of 4 and
goes through the point 0-3
Answers
Answer:
y=4x-3
Step-by-step explanation:
Solve for y
6 = 4x + 9y
Answers
Answer:
y=.44-.66
Step-by-step explanation:
hope this helps not 100 percent sure let me know in the comments.
7a(3b - 2c + 4)
Help?
Answers
Answer:
21ab-14ac+28aStep-by-step explanation:
[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]
anyone stressed?? vent to me. and (so this will count as a question)
Laura earns $115 a month babysitting. If she saves all of the
money she earns in June and July and uses it to buy a bicycle
that cost $158, how much money will she have left?
A. $230,00
B. $43.00
C. $60.00
D. $72.00
Answers
Answer:72
Step-by-step explanation:
115+115=230
230-158=72
If you add the 115 a month that she earns from babysitting, then add both the months pay together, than subtract 158(cost of the bicycle) by the total pay, you should get 72$
Answer: D. $72
Step-by-step explanation:
If she earns $115 a month and June and July is a combination of two months then we will have to find the amount she earn toegther in June and July by multiplying 2 by $115.
2(115) = 230
She earned $230 in those months, and if the bicycle cost $158 , then we will have to subtract $158 from $230 to find her remaining amount.
$230 - $158 = $72
I need help someone pls help me I been on this for to long
Answers
Step-by-step explanation:
the explanation is above
Take key note of the dots bcz some are coloured and some aren't
HELP ASAP WILL MARK BRAINLIEST UTS DUE IN 5!!!
Find the slope of the line.
O -2/5
O 2/5
O 5/2
O None of the above
Answers
Answer: 2/5
Step-by-step explanation:
Convert 0.067 km to mm
Answers
Answer:
67000
Step-by-step explanation:
just multiply by 1000000
Hello sam hhehehe .dk ;
Answers
Answer:
hello
Step-by-step explanation:
Linda conducted a school survey and asked 8th-grade students about their favorite NFL team. The results are in the table below. Based on the results of the survey, what was the probability of an 8th-grade student choosing the Pittsburgh Steelers as their favorite NFL team?
Answers
Answer:5oo
Step-by-step explanation:
Judah's mother gave him a certain amount of money for doing his chores last week. This week she gave him two times the amount because he did a few more chores. After counting the money his mother gave him for the two weeks of chores and the $15 that was already in his wallet, Judah had $52.50. How much did he earn for one week of chores?
Answers
Answer:
He earned $37.50
Step-by-step explanation:
Just subtract the $15 that he already had and you’ll get the answer
Solve the equation. 4d + 2d – 4d + 4 = 3d
Answers
Answer:
d = 4
Step-by-step explanation:
1. Simplify both sides of this equation, to start off with.[tex]4d+2d−4d+4=3d
[tex]4d+2d−4d+4=3d[/tex]
[tex]4d+2d+−4d+4=3d[/tex]
2. Combine all the like terms you see here.(4d+2d+−4d)+(4)=
d+4=3d[/tex]
(2d+4=3d)[/tex]
3. Subtract 3d from both sides of this equation.[tex]2d+4−3d=3d−3d[/tex]
[tex] - d + 4 = 0[/tex]
4. Subtract 4 from each sides of the equation.[tex]−d+4−4=0−4[/tex]
[tex] - d = - 4 [/tex]
5. Divide both of the sides by -1.
[tex] \frac{ - d}{ - 1} = \frac{ - 4}{ - 1} [/tex]
Therefore, the answer is d = 4.
What is -5.1 – 6.2=?
Answers
Answer:
It is -11.3
Step-by-step explanation: Hope this help :)
Answer:
11.3or 1.1
Step-by-step explanation:
I WILL GIVE BRAINLIEST
Estimate the value of the irrational number (0.6289731...)^2. Up to how many decimal digits is the estimation correct?
(1.) 5
(2.) 4
(3.) 6
(4.) 7
Answers
Answer:
6
Step-by-step explanation:
i am 96% sure it is 6
i might be wrong tho so i would wait for another answer ._.
Answer:
Its 6 and give the other guy his brain he deserves it
Step-by-step explanation:
NEED ANSWER ASAP!!!!
y=−x^2−2x+3
When is g(x) = 0?
Answers
Answer:
[tex]y=3[/tex]
Step-by-step explanation:
Since g(x)=0, you input 0 into every x
[tex]y=-(0)^{2} -2(0)+3[/tex]
Which then becomes:
[tex]y=0+3[/tex]
Take out the 0 and there's your answer