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3 years ago

7

A 33kg child is on a swing that hangs from 3.00m long chains as shown in the figure below. if the maximum angle the child reache

s is 45° what is the child's speed at the lowest point on the swing?

1 answer:

Makovka662 [10]3 years ago

7 0

What do you think the answer to the question is?

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Is it true that: If f"(c) > 0, then the slope of

zheka24 [161]

Answer:

yes

Step-by-step explanation:

the FIRST derivative of a function tells us the slope of a tangent line to the curve at any point. if is positive, then the curve must be increasing. If is negative, then the curve must be decreasing.

the SECOND derivative gives us the slope of the slope function (in other words how fast the slope of the original function changes, and if it is accelerating up - positive - or if it is avengers down - negative).

so, the first derivative would be fully sufficient to get the answer of if the slope of the function at that point is positive or negative.

but because it is only a "if" condition and not a "if and only if" condition, the statement is still true.

there are enough cases, where the slope is positive, but the second derivative is not > 0 (usually = 0).

but if even the second derivative is positive, then, yes, the slope of the original function must be positive too.

3 0

2 years ago

Megans room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed.

Alex17521 [72]

Answer:

As only the length of the room changed. It means the length of the room is increased by 175%, because of which the area is increased by 175%.

Therefore, the expression become

$\frac{175}{100}\:l\cdot b$

$=1.75\:l\cdot b$

And the area of Megan's room is increased by 0.75 square meters.

Step-by-step explanation:

Let $l$ be the length of the room

Let $b$ be the width of the room

So the area of the rectangle will be:

$A=l\cdot \:b$

As the statement mentions that the new area of the room is $175%$ % of the previous area.

So the new area of the room becomes:

$\frac{175}{100}\:l\cdot b$

As only the length of the room changed. It means the length of the room is increased by 175%, because of which the area is increased by 175%.

Therefore, the expression become

$\frac{175}{100}\:l\cdot b$

$=1.75\:l\cdot b$

also

$\left(1.75\right)l\cdot \:b-\left(1\right)l\cdot \:b$

$=0.75\:l\cdot b$

so, the area of Megan's room is increased by 0.75 square meters.

6 0

3 years ago

Plzz help. Giving everything.<br> D. 24.5

Lemur [1.5K]

Answer:

$\frac{8}{14} = \frac{14}{x+2}$ (since they're similar, set them up as a proportion to find x)

14*14 = 8(x+2) (cross multiply, solve the left side, and distribute the right side)

196 = 8x +16 (subtract 16 from both sides)

180 = 8x (divide both sides by 8)

x= 22.5 (is your answer, or C)

Step-by-step explanation:

3 0

3 years ago

Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle?

Annette [7]

Answer:

127 degrees

Step-by-step explanation:

540 degrees is what the interior of a pentagon should add up to. So you do 540-156-72-98-87=127. The measure of the final interior angle is 127 degrees.

5 0

3 years ago

Read 2 more answers

Select all the expressions that are equivalent to 4 - x.

Wewaii [24]

Answer

4+(-x),-x+4

Step-by-step explanation:

6 0

3 years ago