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Elodia [21]
3 years ago
10

What is the volume of 5cm on each side?

Mathematics
2 answers:
nalin [4]3 years ago
5 0
Calculate the volume of a cube by cubing one side's length in centimeters. A cube is three-dimensional geometric object with six square surfaces. For example, if the length of one side is 5 cm, the volume is 5 x 5 x 5, or 125 cm^3.
Lera25 [3.4K]3 years ago
4 0
The volume of a 5cm on each side is 125 cm
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F is a twice differentiable function that is defined for all reals. The value of f "(x) is given for several values of x in the
nadezda [96]

The correct answer is actually the last one.

The second derivative f''(x) gives us information about the concavity of a function: if f''(x) then the function is concave downwards in that point, whereas if f''(x)>0 then the function is concave upwards in that point.

This already shows why the first option is wrong - if the function was concave downwards for all x, then the second derivate would have been negative for all x, which isn't the case, because we have, for example, f''(8)=5

Also, the second derivative gives no information about specific points of the function. Suppose, in fact, that f(x) passes through the origin, so f(0)=0. Now translate the function upwards, for example. we have that f(x)+k doesn't pass through the origin, but the second derivative is always f''(x). So, the second option is wrong as well.

Now, about the last two. The answer you chose would be correct if the exercise was about the first derivative f'(x). In fact, the first derivative gives information about the increasing or decreasing behaviour of the function - positive and negative derivative, respectively. So, if the first derivative is negative before a certain point and positive after that point. It means that the function is decreasing before that point, and increasing after. So, that point is a relative minimum.

But in this exercise we're dealing with second derivative, so we don't have information about the increasing/decreasing behaviour. Instead, we know that the second derivative is negative before zero - which means that the function is concave downwards before zero - and positive after zero - which means that the function is concave upwards after zero.

A point where the function changes its concavity is called a point of inflection, which is the correct answer.

7 0
3 years ago
You bike for 2 hours at a speed no faster than 17.6 mph. Write an inequality that represents the possible number of miles you bi
Whitepunk [10]
Total no. of hours you spent biking = 2 hours
the speed at which you rode your bike ≤ 17.6 mph
Now,
We have,
speed =  \frac{distance}{time}

17.6 =  \frac{distance}{2}

17.6 *2=  distance

35.2=distance

So, you for given conditions, you can't travel more then 35.3 miles

So, the inequality for the given circumstances is:
x ≤ 35.2 
4 0
3 years ago
Read 2 more answers
I need help with this one and l also answered the first one but i’m not sure for this three angles
Norma-Jean [14]

Answer:

all three angles should add up to 180 so subtract what you know from 180 and you should be able to find everything from there

4 0
2 years ago
A countertop is in the shape of a trapezoid. The lengths of the bases are 70.5 and 65.5 inches long. The height of the counterto
den301095 [7]
The answer is 1224. You do 70.5 + 65.5, divided by two, then you take that answer and multiply by 18 to get 1224
8 0
3 years ago
Each table in a classroom is 100cm long and 50cm wide. what is the area of each table? there are 16 tables in the classroom. wha
lord [1]

Answer:

A

Step-by-step explanation:

3 0
2 years ago
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