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Neko [114]
2 years ago
13

Marcel is performing the first test on his company's new electric car. During the test, the electric car reaches a maximum speed

of 81 mph.
The performance test results of the electric car can be modeled by the following table, where x represents time, in seconds at the start of the test, and y represents the speed, in miles per hour.

x 0 2 4 6 8 10 12
y 0 45 72 81 72 45 0

Which of the following statements is true about this situation?

A.
The electric car is not moving at 0 seconds and 6 seconds.
B.
The electric car is not moving at 6 seconds and 12 seconds.
C.
The electric car is not moving at 0 seconds and 12 seconds.
D.
The electric car is not moving at 4 seconds and 8 seconds.
Mathematics
2 answers:
Ierofanga [76]2 years ago
4 0

Answer:

Step-by-step explanation:

C.-

valentina_108 [34]2 years ago
3 0

Answer:

C. The electric car is not moving at 0 seconds and 12 seconds.

Step-by-step explanation:

Given:

The table given is:

x   0   2    4     6      8      10      12  

y   0   45  72   81    72     45     0

From the above table, we observe that the car starts from rest and its speed increases from 0 to 6 seconds, the maximum speed being 81 mph.

After 6 seconds, the speed of the car goes on decreasing till it stops at time equal to 12 seconds.

So, the speed of the car at the start when x=0 is 0 mph as it is at rest at that time.

Also, when the time is x=12\ s, the car has come to a stop and thus its speed has reduced to 0 mph again. So, the car is not moving after 12 seconds.

From the above conclusion, we can say that only option C is correct.

The electric car is not moving at 0 seconds and 12 seconds.

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A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical​ (ha
Neko [114]

Answer:

Volume: \frac{2}{3}\pi r^3

Ratio: \frac{2}{9}r

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

V=\frac{4}{3}\pi r^3

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

A=4 \pi r^2

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so 2\pi r^2. Moreover, we have to add the surface of the base, which is \pi r^2. So the total surface area of the hemispherical tank is

A'=2\pi r^2 + \pi r^2 = 3 \pi r^2

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r

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3 years ago
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4 0
2 years ago
You have $300,000 saved for retirement. Your account earns 9% interest. How much will you be able to pull out each month, if you
alex41 [277]

Answer:$121,000 a month

Step-by-step explanation:

5 0
2 years ago
A triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). It is translated so that its new coordinates
Alisiya [41]

Given that a triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). Now these points are translated and the new coordinates are (1, 7), (−1, −1), and (−5, 6).

Questioon says to find which type of translation occured from the given choices.

It can be easily found by drawing the given coordinates.

Original position of the triangle is drawn in Brwon colour.

New position of the triangle is drawn in Green colour.

From graph we can clearly see that each of the original coordinate moves two unit left then 2 units upward to get new coordinate.


Hence choice "A) It moved left two units and up two units." is the final answer.

4 0
3 years ago
Read 2 more answers
Please help me with this one too
ikadub [295]

Answer:

no

Step-by-step explanation:

5 0
2 years ago
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