Answer:
2,469,552
Step-by-step explanation:
ank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B contains30 gallons of water in which 5 pounds of salt has been dissolved. A brine mixture with a concentrationof 0.5 pounds of salt per gallon of water is pumped into tank A at the rate of 4 gallons per minute.The well-mixed solution is then pumped from tank A to tank B at the rate of 6 gallons per minute.The solution from tank B is also pumped through another pipe into tank A at the rate of 2 gallonsper minute, and the solution from tank B is also pumped out of the system at the rate of 4 gallons perminute. Find the differential equations with initial conditions for the amounts,x(t)andy(t), of saltin tanks A and B, respectively, at time t.
Answer:
[tex]\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}[/tex]
[tex]\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}[/tex]
x(0)=20,y(0)=5
Step-by-step explanation:
We are given that
Tank A contains water=80 gallons
x(0)=20,y(0)=5
Tank B contains water=30 gallons
Rate=4 gallon/min
Concentration of salt is pumped into tank=0.5 pound /gallon of water
Solution pumped from tank A to tank B at the rate=6 gallons/min
Solution pumped from tank B to tank A at the rate=2gallon/min
Solution from tank B is pumped out of the system at the rate=4 gallon/min
We have to find the DE at time t
For x
Rate in=[tex]0.5\times 4+y(t)/30\times 2[/tex]
Rate in=[tex]2+y/15[/tex]
Rate out=[tex]x/80\times 6[/tex]
Rate out=3x/40[/tex]
[tex]\frac{dx}{dt}=[/tex]Rate in-Rate out
[tex]\frac{dx}{dt}=2+y/15-3x/40[/tex]
[tex]\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}[/tex]
For y
Rate in=[tex]x/80\times 6[/tex]
Rate in=3/40x
Rate out=[tex]y/30\times (4+2)[/tex]
Rate out=y/5
[tex]\frac{dy}{dt}=[/tex]Rate in-Rate out
[tex]\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}[/tex]
What ratio is bigger 6:12 or 1:2
Answer:
they are both the same amount
Step-by-step explanation:
Answer:
Step-by-step explanation:
They are both the same 6:12 can be reduced to 1:2 by dividing 6 and 12 by 6.
Find the interest rate for a $4100 deposit accumulating to $5994.78, compounded monthly for 6 years.
Answer:
r = [1 + (i/n)]n - 1. Where: r =
Step-by-step explanation:
Which of the following represents y as a function of x?
Answer:
The table only represent s y as function of x
What is the answer to this Question?
8 – 6 (x – 4) = 2x – 2 (4x – 5) + 22
Answer:
Here
Step-by-step explanation:
Let's solve your equation step-by-step.
8−6(x−4)=2x−2(4x−5)+22
Step 1: Simplify both sides of the equation.
8−6(x−4)=2x−2(4x−5)+22
8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)
8+−6x+24=2x+−8x+10+22
(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)
−6x+32=−6x+32
−6x+32=−6x+32
Step 2: Add 6x to both sides.
−6x+32+6x=−6x+32+6x
32=32
Step 3: Subtract 32 from both sides.
32−32=32−32
0=0
Look at the table of values.
x
у
-6
11
- 2
7
0
5
4
1
8
-3
Which equation represents the relationship between x and y?
A. y = x-1
B. y = x - 4
C. y = 5 - x
D. y = 2x + 3
Write the ordered pair for each given point:
9) J ___
10) E ___
11) X ___
12) Z ___
13) B ___
14) D ___
15) R ___
16) W ___
I WILL PUT BRAINLIEST!!
How much change should Mack get back when he uses $20.00 to pay for purchases totaling $14.35?
Answer:
5
Step-by-step explanation:
i anserwed it on the test
Solve -2a - 5 > 3
Which graph shows solutions
I-Ready diagnostic
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-2a-5>3 Equation/Question
Step 2
-2a-5>3 Simplify
-2a-5>3
Step 3
-2a-5>3 Divide
answer
a<-4
Hope this helps
Given the sequence \\(\\frac{1}{4},\\frac{1}{8},\\frac{1}{16}\\)\nthen r is _____
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
For geometric sequences, we find r by dividing one of the terms by the last. So we could do [tex]\frac{1}{\frac{16}{\frac{1}{8}}}[/tex]or [tex]\frac{1}{\frac{8}{\frac{1}{4}}}[/tex] and it'll give us the same result (1/2)
need help asap please
Answer:
[tex]\displaystyle 77[/tex]
Step-by-step explanation:
Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ♂️
I am joyous to assist you at any time.
Give the coordinates of each transformation of (2, –3)
1. horizontal translation of 5
2.vertical translation of –1
3.reflection across the x-axis
4. reflection across the y-axis
Answer:
Step-by-step explanation:
Easy math (17 points))
Answer:
A-8.25 B-43.2 C-248.5
Step-by-step explanation:
Answer:
A-8.25
B-43.2
C-248.5
Step-by-step explanation:
Bradley owe's his parents $275. Every week, Bradley pays his parents back $55. Which function represents the
amount of money Bradley still owes his parents?
Answer:
The function f(x) = 275-55x represents the amount of money Bradley still owes.
Step-by-step explanation:
Given that:
Amount Bradley owes = $275
Amount Bradley pays each week = $55
Let,
x be the number of weeks.
We will subtract the amount paid every weeks from the total amount, where x is the number of weeks. The function will be given by;
f(x) = 275 - 55x
Hence,
The function f(x) = 275-55x represents the amount of money Bradley still owes.
r(x)=2square root of x S(x)= square root of x (rs)(4)=
Answer:
[tex](rs)(4) = 8[/tex]
Step-by-step explanation:
Given
[tex]r(x) = 2\sqrt{x[/tex]
[tex]s(x) = \sqrt x[/tex]
Required
Determine [tex](rs)(4)[/tex]
In functions:
[tex](fg)(x) = f(x) * g(x)[/tex]
This implies that:
[tex](rs)(x) = r(x) * s(x)[/tex]
Substitute values for r(x) and s(x)
[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]
[tex](rs)(x) = 2(\sqrt{x})^2[/tex]
[tex](rs)(x) = 2x[/tex]
Substitute 4 for x
[tex](rs)(4) = 2 * 4[/tex]
[tex](rs)(4) = 8[/tex]
que porcentaje de 108 es 81?
Select the correct answer.
Which expression means five times the sum of band two?
OA. 5(6+2)
O B. 56+2
Oc. (6+2)
5
D
(5+2)
OD.
—
HELP PLEASE!! ill give brainlist
Answer:
Hi... Your answer is A...
who knows this answer ?!!
Answer:
D is the answer
Step-by-step explanation:
twice as many children is 24 because 12x2 is 24
The population of people in a town increases by 100 each year. Which equation represents the situation? Let p represent the amount the population has increased and t represent the number of years.
Question 22 options:
t = 100 + p
p = 100 + t
p = 100t
t = 100p
Answer: p = 100t
Step-by-step explanation:
Assume that it had been 6 years.
100(6) = p
p = 600
There are 600 people in the town.
3 more than x is less than 6
Answer:
x = 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
its complicated to explain sorry, but trust me
A group of friends really love to go bowling together. Here are a set of final scores from a recent bowling trip:
147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110
Required:
What is the mean?
Answer:
[tex]Mean = 109.364[/tex]
Step-by-step explanation:
Given
[tex]Data: 147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110[/tex]
Required
Calculate the mean
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
In this case:
[tex]n = 11[/tex]
So, we have:
[tex]Mean = \frac{147+ 160+ 80+ 110+ 121+ 164+ 62+ 90+ 76+ 83+ 110}{11}[/tex]
[tex]Mean = \frac{1203}{11}[/tex]
[tex]Mean = 109.364[/tex] -- approximated
Please help me I will give you 10 points
Answer
Multiply 8 and 4
Step-by-step explanation:
start from left to right so you wanna start by dividing and multiplying first in evaluating
A band expects to put 16 songs on their next CD. The band writes and records 37.5% more songs than they expect to put on the CD. During the editing process, 50% of the songs are removed. How many songs will there be on the final CD?
answer:
- this is multi-step problem
16 X 1.375 = 22 songs (37.5% was added)
22 X .5 = 11 songs (50% was removed)
final answer: 11 songs.
The nth term of a sequence is 2n + 1
The nth term of a different sequence is 3n - 1
Work out the three numbers that are in both sequences and also between 20 and 40
Answer:
The three numbers are 23, 29 and 35.
Step-by-step explanation:
Given: The nth term of a sequence is 2n+1 and the nth term of a different sequence is 3n-1.
To find: The three numbers that are in both sequences and also between 20 and 40.
Consider both the sequences.
Put n = 11 in the nth term 2n+1, we get 23.
So, the 11th term of first sequence is 23.
Now put n = 8 in the nth term 3n-1, we get 23.
So, the 8th term of the second sequence is 23.
Therefore, first number that is in both sequence and lies between 20 and 40 is 23.
Now put n = 14 in the nth term 2n+1, we get 29.
So, the 14th term of first sequence is 29.
Put n = 10 in the nth term 3n-1, we get 29.
So, the 10th term of the second sequence is 29.
Therefore, second number that is in both sequence and lies between 20 and 40 is 29.
If we put n = 17 in the nth term 2n+1, then we get 35.
That is, 17th term of first sequence is 35.
Now we put n = 12 in the nth term 3n-1, then we get 35.
That is, 12th term of second sequence is 35.
So, third number that is in both sequence and lies between 20 and 40 is 35.
Hence, the three numbers that are in both sequences and also between 20 and 40 are 23, 29 and 35.
Please help me! I'm really stuck on this question!
i think the answerd is a
Find the slope of the line through the points (4,2) and (6,2).
Answer:
The slope is m=0
Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.
Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.If y-coordinates are equal and x-coordinates are not equal (as in our case), then the slope equals 00 (the line is horizontal).
Find the volume of the figure. Round your answer to two decimal places, if needed
Answer:
[tex]\mathrm{A. \:756\:in^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism can be represented by [tex]l\cdot w\cdot h[/tex]. The dimensions of this prism are 6x9x14.
Therefore the volume of this prism is:
[tex]6\cdot 9\cdot 14=\fbox{$\mathrm{A. \:756\:in^3}$}[/tex].
Add the two expressions
-4.2x+3 and 2.5x-6
please help me with this
-1.7×-6 is the answer. Hope this helps.
Answer:
-1.7x + -3
Step-by-step explanation:
−4.2x+3 +2.5x−6
−4.2x+3
2.5x−6
Hope This Helped <3
13. Becky is playing with marbles. Of the marbles 2/3
of them are green. Among the green marbles, 1/4
of them also have polka-dots. What fraction of
Becky's marbles are green and have polka-dots?
Answer:
2/3 x 1/2 = 1/6
Step-by-step explanation:
please send answers
Answer:
multiple 10.5x10.5 and then 7x7 and then add both answer s
Step-by-step explanation:
Answer is explained above