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muminat
3 years ago
10

A particle is moving with the given data. find the position of the particle. at(t) = t2 − 4t + 3, s(0) = 0, s(1) = 20

Mathematics
1 answer:
oee [108]3 years ago
4 0
Integrating    t^2 - 4t + 3

s =  t^3/3 - 2t^2 + 3t  + C   where C is some constant 

when t = 0 , s = 0   so C = 0

answer is  s = 1/3 t^3 - 2t^2 + 3t


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Anuta_ua [19.1K]

Answer:

m∠E = 90°

m∠F = 47°

m∠G = 43°

Step-by-step explanation:

We are given 3 angles: a 90 degree angle, and 2 unknowns. We know that all angles in a triangle add up to 180 degrees. So,

Step 1: Write out the angles equation

90 + 5x - 13 + 2x + 19 = 180

Step 2: Combine like terms

96 + 7x = 180

Step 3: Isolate the x

7x = 84

Step 4: Divide both sides by 7

<em>x = 12</em>

We take this <em>x = 12 </em>and we plug it into our original unknown angles. Thus,

Step 1: ∠F

5(12) - 13

m∠F = 47°

Step 2: ∠G

2(12) + 19

m∠G = 43°

And you have your final answers!

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3 years ago
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I inserted a picture of a question please state whether the answer is a b c or dI’ll insert a picture of question c and d
dangina [55]

The given function is:

f(x)=x^2

It is required to find the graph of g(x)=1/3 f(x).

Recall that the graph of a function g(x)=a f(x) is derived as a result of vertically shrinking the graph of f(x) towards the x-axis, where 0

Notice that in this case, a=1/3, which falls in the given interval for a vertical shrink.

Start with the graph of f(x)=x², which is the parent function for a quadratic function (graph in red):

Next, vertically shrink this graph towards the x-axis by a factor of 1/3 to graph, g(x)=1/3 f(x) in blue:

Notice that the graph that matches this from the options is the graph in option D.

The correct answer is option D.

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2 years ago
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