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3 years ago

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Mathematics

1 answer:

inn [45]3 years ago

3 0

The rotation of the triangle ABC 360 degrees about the y-axis forms a cone

<h3>How to determine the shape after rotation?</h3>

From the question, we understand that the triangle ABC is a right triangle

The vertical cross-section of a cone is a right triangle.

This means that a right triangle can be rotated 360 degrees on one of its legs (opposite or adjacent) to form a cone

Hence, the rotation of the triangle ABC forms a cone

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[Calculus] particle at rest question. Show steps, please!

Vinvika [58]

Answer:

Step-by-step explanation:

We are given that a particle's position along the x-axis at time <em>t </em>is modeled by:

$x(t)=2t^3-21t^2+72t-53$

And we want to determine at which time(s) <em>t</em> is the particle at rest.

If the particle is at rest, this suggests that its velocity at that time is 0.

Since are we given the position function, we can differentiate it to find the velocity function.

So, by differentiating both sides with respect to <em>t</em>, we acquire:

$\displaystyle x^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-21t^2+72t-53\big]$

Differentiate. So, our velocity function is:

$v(t)=6t^2-42t+72$

So, we will set the velocity to 0 and solve for <em>t</em>. Hence:

$0=6t^2-42t+72$

We can divide both sides by 6:

$0=t^2-7t+12$

Factoring yields:

$(t-3)(t-4)=0$

By the Zero Product Property:

$t-3\text{ and } t-4=0$

Hence:

$t=3\text{ and } t=4$

Therefore, at the 3rd and 4th seconds, the velocity of the particle is 0, impling that the particle is at rest.

Our answer is E.

6 0

3 years ago

F(x)=2x+3/4x+5 find f(-9)<br><br>pls solve it

Marysya12 [62]

Answer:

15/31

Step-by-step explanation:

substitute -9 were there's x in the function

f(-9)=2(-9)+3/4(-9)+5

=-18+3/-36+5

=-15/-31

the negatives cancel giving you

15/31

4 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST!!!

vladimir2022 [97]

the coordinates of the vertices after the given transformation are:

H' (4, -1)
I' (4, 3)
G' (1, 0)

<h3>How to get the coordinates of the vertices after the transformation?</h3>

First, we can identify the original vertices, which are:

H (4, 1)
I (4, -3)
G (1, 0)

Now we apply a reflection across the x-axis, it will only change the sign of the y-component of each of the above points, then the coordinates of the vertices after the given transformation are:

H' (4, -1)
I' (4, 3)
G' (1, 0)

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

4 0

1 year ago

Of all the people applying for a certain job, 80% are qualified and 20% are not. The personnel manager claims that she approve

motikmotik

Answer:

69.23% probability that a person is not qualified if he or she was not approved by the manager.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes:

In this problem, we have these following probabilities:

80% probability that a person is qualified

20% probability that a person is not qualified.

90% probability that a qualified person is approved.

10% probability that a qualified person is not approved.

10% probability that an unqualified person is approved.

90% probability that an unqualified person is not approved.

Find the probability that a person is not qualified if he or she was not approved by the manager.

Desired outcomes

Unqualified and not approved.

20% are not qualified. Of those, 90% were not approved. So

$0.9*0.2 = 0.18$

Total outcomes:

Qualified and not approved or unqualified and not approved.

80% are qualified. Of those, 10% were not approved

20% are not qualified. Of those, 90% were not approved. So

$0.8*0.1 + 0.9*0.2 = 0.26$

Probability

$P = \frac{0.18}{0.26} = 0.6923$

69.23% probability that a person is not qualified if he or she was not approved by the manager.

7 0

3 years ago

Hello I need help with this question

sergejj [24]

2) x + 1/4 = 7/8

-1/4 -1/4

x = 5/7

3) 3/4x = 5/8

*4/3 *4/3

x = 5/6

Hope this helps! ;)

7 0

3 years ago