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Katyanochek1 [597]
3 years ago
15

Which one of the following is true when ds/st =3t^2/2s

Mathematics
1 answer:
Zina [86]3 years ago
7 0
Middle school math!  I actually know how to teach differential calculus to middle schoolers, but I wouldn't start with this example, where we're gonna have to integrate eventually.

We have

\dfrac{ds}{dt} = \dfrac{3t^2}{2s}

We have an odd mix of s and t on the right, which means this probably was an implicit derivative to begin with.  In other words, instead of s as a function of t, we have some equation of s and t that is satisfied.

We move the variables to their respective sides 

2s \ ds = 3t^2 dt

Integrating,

s^2 =t^3 + C

We only need one constant of integration.

I won't bother to write the square root. This is choice D.

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (w.y) be the unknown
Reil [10]

Answer:

<h2><em>(3,6)</em></h2>

Step-by-step explanation:

Given two coordinates (x₁,x₂) and (y₁,y₂), their midpoint (w,y) is expressed as:

M(X,Y) = (\dfrac{x_1+w}{2},  \dfrac{y_1+y}{2})

From the question, we are given the midpoint (X,Y) to be (2,2) and one endpoint as (1, -2) and we are to find the other end point expressed as (w,y). From the coordinates given, i can be seen that X = 2, Y =2, x₁ = 1 and y₁ = -2

Substituting the given end points into the given formula to get the other end points, we will have;

X = \dfrac{x_1+w}{2} \\2 =  \dfrac{1+w}{2} \\cross\ multiply\\4 = 1+w\\w = 4-1\\w = 3

Similarly;

Y = \dfrac{y_1+y}{2} \\2 =  \dfrac{-2+y}{2} \\cross\ multiply\\4 = -2+y\\y = 4+2\\y = 6

<em>Hence the other endpoint (w, y) is (3,6)</em>

8 0
3 years ago
Can someone plz help me
Goshia [24]

Answer:

Your table might look something like this:

The dads steps:

3

6

9

12

15

18

Sons steps:

5

10

15

20

25

30

You can notice the pattern. If dad walks 3 steps, son walks 5. If dad walks another 3, son walks another 5. And so on. This means dad walks 12 steps when the sin walks 20 steps.

Step-by-step explanation:

The ratio is 3:5. This means dad wlaks 3 steps so son must walk 5 steps basically. So.......... You can now create the table. Y I just have to multiply or divide each side ( of the colon:) so. Whatever you do to one side, you do to the other side. If you x3 on one side, you do it to other. Same goes for division. In the 'table' I did above, I x2 to get 6 and 10. Then I took the 3 and the 5 again and timsed those by 3. You can also change the 6 and the 10. So:

3:5

Then x2

6:10

Then I take the top layer (you can either choose to change the top layer, or layer above as long as you do the same thing to each side. Remember, only x and ÷. No + or-.) and I x3

9:15

Then I could take 9 and 15 and x5

45:75

It's crazy that all these. Ratios mena the same thing! 45 steps from dad would take the son 75 steps. You can also divide the last ratio of 45:75 to find the one you started with, 3:5.

So you get the idea.

It is probably best to do what I did in the table in the answer part because I did a pattern. Take the top layer, and x2, then x3, then x4, ect. Rather then doing random things.

5 0
4 years ago
Damian went shopping for a new pair of sneakers. Sales tax where he lives is 5.5%. The price of the pair of sneakers is $48. Fin
mars1129 [50]
Final price including tax: $50.64
5 0
3 years ago
Help solve problem please
Naddika [18.5K]

Answer:

1 / 13

Step-by-step explanation:

The total number of cards in a deck = 52

The total number of aces in a deck = 4

Since selection is drawn with replacement, then probability of drawing a certiaj number of card from the deck will be the same each time a selection is made :

Probability = required outcome / Total possible outcomes

The required outcome = number of aces = 4

Total possible outcomes = total number of cards = 52

P(drawing an ace) = 4 / 52 = 1 /13

7 0
3 years ago
Asap please !
S_A_V [24]

Answer:

2/3 I think I'm not completely sure

4 0
3 years ago
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