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luda_lava [24]
3 years ago
5

Which expression has the greatest value?

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0
Top Right: 1 3/4 divided by 1/10
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A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
Lady bird [3.3K]

Using derivatives, it is found that:

i) v(t) = 3t^2 - 6t

ii) 9 m/s.

iii) a(t) = 6t - 6

iv) 6 m/s².

v) 1 second.

<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
  • The velocity is the derivative of the position.
  • The acceleration is the derivative of the velocity.

In this problem, the position is:

s(t) = t^3 - 3t^2 + 8

item i:

Velocity is the <u>derivative of the position</u>, hence:

v(t) = 3t^2 - 6t

Item ii:

v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9

The speed is of 9 m/s.

Item iii:

Derivative of the velocity, hence:

a(t) = 6t - 6

Item iv:

a(2) = 6(2) - 6 = 6

The acceleration is of 6 m/s².

Item v:

t for which a(t) = 0, hence:

6t - 6 = 0

6t = 6

t = \frac{6}{6}

t = 1

Hence 1 second.

You can learn more about derivatives at brainly.com/question/14800626

7 0
2 years ago
In an isosceles triangle the measure of the angle formed by two congruent sides is 80° what is the measure of each base triangle
shusha [124]

all the bases and sides are all each 80° then

4 0
2 years ago
Please help me with this I would give you 50 points.<br> FEET 1 4 5<br> INCHES 24 36
kipiarov [429]

Answer: feet: 1, 2, 3, 4, 5

          inches: 12, 24, 36, 48, 60

Step-by-step explanation:

There are 12 inches in a foot, therefore if you have 1 foot you have 12 inches, if you have 2 feet you have 24 inches becauase 2*12 = 24 and so on...

6 0
2 years ago
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Evaluate if a = 28 and b = -3
Nata [24]

Answer:

The answer is 4

Step-by-step explanation:

hope this helps

8 0
3 years ago
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Which is the solution to the inequality?
Ipatiy [6.2K]
X=8
I believe that would be ur answer! I hope i helped out
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3 years ago
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