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3 years ago

I NEED HELP ASAP PLZ

Mathematics

2 answers:

FinnZ [79.3K]3 years ago

7 0

first one

Step-by-step explanation:

horsena [70]3 years ago

7 0

Answer:

1/2 is the answer

Step-by-step explanation:

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A particle is moving with the given data. Find the position of the particle. a(t) = t2 − 3t + 9, s(0) = 0, s(1) = 20

sertanlavr [38]

Answer:

$s(t) = \frac{t^4}{12}-\frac{3t^3}{6}+\frac{9t^2}{2} +15.91667t$

Step-by-step explanation:

Integrating the expression that describes the acceleration of the particle gives us an expression for its velocity. Integrating the expression for its velocity, gives us the expression for its position:

$a(t) = t^2-3t+9\\\int{a(t)} \, dt=v(t) = \frac{t^3}{3}-\frac{3t^2}{2}+9t +A\\\int{v(t)} \, dt=s(t) = \frac{t^4}{12}-\frac{3t^3}{6}+\frac{9t^2}{2} +At+B$

Use the given values s(0) = 0 and s(s) = 20 to find the constants A and B:

$s(0) =0= 0-0-0 +A*0+B\\B=0\\ s(1) =20= \frac{1^4}{12}-\frac{3*1^3}{6}+\frac{9*1^2}{2} +A*1+0\\ A=15.91667\\\\s(t) = \frac{t^4}{12}-\frac{3t^3}{6}+\frac{9t^2}{2} +15.91667t$

8 0

4 years ago

a box with a square base is taller than it is wide. in order to send the box through the US mail, the height of the box and the

NemiM [27]

The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 $in^{3}$ .

The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:

volume = length x width x height

= area x height

Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.

Then;

4l + h = 108

Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.

So that;

4(20) + 28 = 80 + 28

= 108 inches

Thus;

maximum volume = area of the square base x height

= 400 x 28

maximum volume = 11200 $in^{3}$

The maximum volume for such a box would be 11200 $in^{3}$ .

Visit: brainly.com/question/20463446

5 0

3 years ago

Guys, I really need help!

TiliK225 [7]

Answer:

The answer is

$p = \frac{ - 3}{1000} n + 97$

Step-by-step explanation:

We have the points (2000,91) and (5000,82)

Then

$m = \frac{91 - 82}{2000 - 5000} = \frac{ - 3}{1000} \\ to \: find \: the \: b \\ 91 = \frac{ - 3}{1000} \times 2000 + b \\ b = 97 \\ then \: the \: equation \: is \: \\ p = \frac{ - 3}{1000} n + 97$