The differential equation that could describe this relationship is → d²V/dt² - (3KV²)dV/dt = 0.
What is the meaning of differential equations?In Mathematics, a differential equation is an equation with one or more derivatives of a function. The derivative of the function is given by dy/dx. In other words, it is defined as the equation that contains derivatives of one or more dependent variables with respect to one or more independent variables.Given is that the rate of change of the volume {V} with respect to time {t} of water leaking from a tank is proportional to the cube of the volume.
We can write the proportional relationship as -
{dV/dt} [tex]$\alpha[/tex] {V}³
Replacing the proportional relationship as -
dV/dt = KV³ {K is constant}
d²V/dt² = K x d/dt (V³)
d²V/dt² = K x 3V² (dV/dt)
d²V/dt² = 3KV²(dV/dt)
d²V/dt² - (3KV²)dV/dt = 0
Therefore, the differential equation that could describe this relationship is → d²V/dt² - (3KV²)dV/dt = 0.
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Note: Figure is not drawn to scale,
If x = 4 units, y = 17 units, and z = 3 units, then what is the surface area of the rectangular prism shown above?
OA.
131 units
OB. 330 units
C.
204 units
D
262 units2
Lightning strikes Earth 1000 times in 10 seconds. How many seconds does it take for lightning to strike 7250 times? It takes seconds for lightning to strike 7250 times.
Answer:
1000 / 10 = 100 strikes per second. Now, multiply by 12 to find the number of strikes that occurred. 100 * 12 = 1200 strikes in 12 seconds. Part B: Divide the number of seconds to the number of lightning strikes to find the average rate. 10 / 1000 = 0.1 seconds per strike. Now, multiply by 7250 to find the number of seconds that passed.
Step-by-step explanation:
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Answer:
b. (4,2)
Step-by-step explanation:
step one: isolate x in the first equation
substitute x=6-y: [tex]\begin{bmatrix}2\left(6-y\right)-2y=4\end{bmatrix}[/tex]
[tex]\begin{bmatrix}12-4y=4\end{bmatrix}[/tex]
[tex]-4y=-8[/tex]
[tex]y=2[/tex]
step two: isolate y in the second equation, substitute y=2
[tex]x=6-y[/tex]
[tex]x=6-2[/tex]
[tex]x=4[/tex]
Answer:
b
Step-by-step explanation:
Given the 2 equations
3x + 3y = 18 → (2)
2x - 2y = 4 → (2)
Multiplying (1) by 2 and (2) by 3 and adding the result will eliminate the y- term
6x + 6y = 36 → (3)
6x - 6y = 12 → (4)
Add (3) and (4) term by term to eliminate y
12x + 0 = 48
12x = 48 ( divide both sides by 12 )
x = 4
Substitute x = 4 into either of the 2 equations and solve for y
Substituting into (1)
3(4) + 3y = 18
12 + 3y = 18 ( subtract 12 from both sides )
3y = 6 ( divide both sides by 3 )
y = 2
solution is (4, 2 ) → b
What’s the answer ?
Answer:
the real answer is 379in³
Answer: 390
Step-by-step explanation:
To find the surface area of the box, you need to find the area of each face of the box. So the front face is 9*14 equals 126. The side of the cube that has the lightest color is 9 times 3 equals 27. Then the last side you can see, is 3 times 14 equals 42. Because this is a rectangular prism, the front face is the same as the back face, the top face is the same as the bottom face, and the left side face is the same as the right side face. So adding all of the faces together you get 42+42+126+126+27+27=390.
if one jar of coffee costs $y, what will be the cost of four jars of coffee
Answer:
hi
Step-by-step explanation:
i think so
if one jar of coffee costs y$ then 4 jars of coffee costs
4y$
have a nice day
Salinda borrowed $4,200 to buy some furniture Her monthly payments over four years with an interest rate of 24 percent are $136.93 per month. How much in total interest will she pay ?
Answer:
1008
Step-by-step explanation:
All you have to do is find what 24 percent of 4200 is.
Find the probability of getting 3 heads and 1 tail when flipping a coin 4
times. (write your answer as a reduced fraction)
pls
Answer:
The probability is 4/16 = 1/4
Step-by-step explanation:
To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin. There are only 4 outcomes which have three heads....hope this helped
PLEAASEEEEEE HELPPPPPP!!!!!!
Express 21/10 as a decimal
Answer:
2.1
Step-by-step explanation:
Aliyah rode her bike at a speed of 10 miles per hour for 1.5 hours and then traveled at a speed of 7.5 miles per hour for 2 hours. What is the total distance that Alyah rode her bike during this time?
Answer:
Step-by-step explanation:
S(peed) = 10 mph
time = 1.5 hours
distance = s * time
distance = 10 * 1.5 = 15 miles
s = 7.5 mph
t = 2 hours
d = s * t
d = 7.5 * 2 = 15
Here total distance = 15 + 15 = 30 miles.
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Answer:
5 meters
Step-by-step explanation:
40/8=5
Answer:
area of rectangle =length ×width
40m² = 8m × width
40m²/8m = width
5m = width.
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Answer:
Area=1/2 b×h
A1=1/2×8×14
=56m²
A2=1/2 ×16×14
=112m²
therefore total area
=56+112
168m²
On a large map 3 cm represents 45 km how many cm are needed to represent 600 kilometres on this map?
Answer:
Number of cm= 40 cm
Step-by-step explanation:
Giving the following information:
3 cm equals 45 kilometers
1 cm= 45 /3 = 15km
We need to determine how many centimeters represents 600 km. We will use the following formula:
Number of cm= total km / km per one cm
Number of cm= 600 / 15
Number of cm= 40 cm
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Answer:
72% increase
Step-by-step explanation:
688-400= 288 increase
288/400= 0.72
0.72x100=
72% increase
In a bag of counters, there are 3 times as many red counters as
blue.
There are twice as many blue counters as yellow counters.
What is the ratio of red : blue : yellow?
Answer:
The ratio is 6:2:1.
Step-by-step explanation:
Let's denote:
Blue counter b
Red counter r
Yellow counter y.
There is given
r=3b (three times more red as blue) [1]
and
b=2y (twice more blue as yellow.) [2]
Now, replacing [2] to [1] gives
3*2y=r
6y=r.
Hence, the ratio is 6:2:1, because r=6y and b=2y.
The Brown family has many pairs of athletic shoes. They counted p pairs all together. They decided to give away 6 pairs, because they had outgrown them. After giving 6 pairs away, the Brown family still has 11 pairs of athletic shoes remaining.
Write an equation to describe this situation.
How many pairs of shoes did the Brown family start with?
Answer: The brown family started out with 17 pairs of shoes. (11 + 6)
p - 6 = 11 (I would say this is the equation)
Step-by-step explanation:
You can solve the equation by adding +6 on both sides of the equal sign, giving you at the end p = 17
Answer: They started out with 17 and the equation was p - 6 = 11
Step-by-step explanation:
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Answer:
x=3
Step-by-step explanation:
so in order to solve this question we are going to plug in u for 2^x
3((2^x)/2)=2^x+4
3u/2=u+4
3u=2u+8
u=8
we can put 2^x back into the equation in order to find x
2^x=8
2^x=2^3
x=3
Solve for x
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Answer:
Step-by-step explanation:
C
Which of these shapes can be classified as a polygon, quadrilateral, and a parallelogram?
Answer:
Step-by-step explanation:
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Answer:
m∠E = 113
Step-by-step explanation:
Given that ΔDEF ≅ ΔPQR
We know that the following angles are congruent
∠D ≅ ∠P
∠E ≅ ∠Q
∠F ≅ ∠R
Now how do we know how these angles are congruent?
Well because if a triangle statement is given and the two triangles are congruent we can infer that the angles (in order) are congruent
Meaning: because D and P are the first letters of each triangle in the statement they have congruent angles if that makes sense.
So we are also given that
∠R = 13 and ∠D = 54
and we need to find ∠E
Remember like stated previously ∠R ≅ ∠F so ∠F = 13°
Now that we have found two angles in the triangle ΔDEF we can find the missing angle (∠E)
Using the triangle angle rule (the angles in a triangle add up to equal 180)
so ∠E = 180 - ∠D - ∠F
now we plug in the given information
∠E = 180 - 54 - 13
180 - 54 = 126
126 - 13 = 113
so ∠E = 113
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A new washing machine uses 40% less water than an older model.
A family used 1,200 gallons of water per month to run the old
washing machine. About how much water will they use each
month to run the new washing machine?
Answer:
840 Gallons
Step-by-step explanation:
Answer:
840 gal
Step-by-step explanation:
Can someone help me figure this out I'm completely lost and this is due in like an hour, the question is "Use the diagram to find the length of GH."
Answer:
GH = 4
Step-by-step explanation:
GH = AB due to congruency markings therefore
5y - 8 = 3y
-8 = =2y
4 = y
Answer:
GH=12
Step-by-step explanation:
You use what this other solution to the answer was. However, they did not include that GH is 3y, so while one y=4, 3y=12. Therefore, GH=12
A (0,0) B(-6,0)
C (-6, 3)
(x,y) - (x + 6, y + 3)
Answer:
plz send full question
Step-by-step explanation:
according to your book
MULTIPLE CHOICE !! HELP
Answer:
Its D
Step-by-step explanation:
Please help!!!!!! Will mark brainliest!
Answer:
k
Step-by-step explanation:
Please help me ASAP! I will pick brainliest
Answer:
b
Step-by-step explanation:
The closed circle indicates that the -6 is included
and the arrow is going to the bigger numbers
Please please help I beg you
Answer:
Step-by-step explanation: