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Svet_ta [14]
2 years ago
13

The position s(t) of a robot moving along a track at time t is given by s(t)=9t^2−90t+4.

Mathematics
1 answer:
Xelga [282]2 years ago
7 0

The total distance traveled by the robot from t=0 to t=9 is 1422 units

Integration is a way in which smaller components are brought together in pieces to form a whole. Integration can be used in finding areas, volumes and so on.

Given that the position s(t) at any time t is given by the function:

s(t)=9t²−90t+4

The total distance traveled by the robot from t=0 to t=9 can be gotten by integrating the position function within the limits 0< t < 9

Therefore:

Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units

The total distance is 1422 units

Find out more at: brainly.com/question/22008756

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Answer:

4 different ways

Step-by-step explanation:

Total number of children = 4

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Possible combinations :

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From the pascal triangle number of e; number of outcomes = 2

Having exactly 3 boys and 1 girl

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7 0
3 years ago
A line with a slope of 9 passes through the points (-7,-10) and (-6,g).What is the value of g?
aleksklad [387]

Answer:

g = -1

Step-by-step explanation:

Given the following data;

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X-axis = x1, x2 = (-7, -6)

Y-axis = (y1, y2) = (-10, g)

Mathematically, slope is given by the formula;

Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}

Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}

Substituting into the equation, we have;

9 = (g - (-10))/(-6 - (-7)

9 = (g + 10)/(-6 + 7)

9 = (g + 10)/1

Cross-multiplying, we have;

9 = g + 10

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Suppose your friend's parents invest $10,000 in an account paying 4% compounded annually. What will the balance be after 9 years
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Answer:

$14233.12

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Step-by-step explanation:

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step by step explanation:
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