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tigry1 [53]
2 years ago
14

This chart shows the number of books that eight students read last year.

Mathematics
2 answers:
erastova [34]2 years ago
6 0

Answer:

B is the correct answer I believe

malfutka [58]2 years ago
6 0

Answer:

A.

Step-by-step explanation:

You might be interested in
If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in
Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume (V), in cubic centimeters, and surface area (A_{s}), in square centimeters, of the box with a square base are described below:

A_{s} = l^{2}+h\cdot l (1)

V = l^{2}\cdot h (2)

Where:

l - Side length of the base, in centimeters.

h - Height of the box, in centimeters.

By (2), we clear h within the formula:

h = \frac{V}{l^{2}}

And we apply in (1) and simplify the resulting expression:

A_{s} = l^{2}+ \frac{V}{l}

A_{s}\cdot l = l^{3}+V

V = A_{s}\cdot l -l^{3} (3)

Then, we find the first and second derivatives of this expression:

V' = A_{s}-3\cdot l^{2} (4)

V'' = -6\cdot l (5)

If V' = 0 and A_{s} = 30000\,cm^{2}, then we find the critical value of the side length of the base is:

30000-3\cdot l^{2} = 0

3\cdot l^{2} = 30000

l = 100\,cm

Then, we evaluate this result in the expression of the second derivative:

V'' = -600

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

V = 30000\cdot l - l^{3}

V = 2000000\,cm^{3}

The largest possible volume of the box is 2000000 cubic meters.

4 0
2 years ago
This doesnt make sense anyone smart can tell me and help me understand its a pic btw
Soloha48 [4]
I believe it would be the 3rd one.
8 0
3 years ago
If 3(11x-18y)=6(x+y)-3x-10y <br> what is the ratio of x to y?
exis [7]

Answer: 3:5

Step-by-step explanation:

33x-54y=6x+6y-3x-10y

33x-54y=3x-4y

30x=50y

3x=5y

7 0
3 years ago
Which of the following functions is graphed below?
Varvara68 [4.7K]

Answer:

what  are you trying to ask?

Step-by-step explanation:

8 0
3 years ago
Solve the following system of equations. (Hint: Use the quadratic formula.) f(x) = 2x² 3x g(x)=-3x² + 20 (0.-10) and (1, 17) (-2
jasenka [17]

The solution of the system of equation is the intersection point of the two quadratic equations, so we need to equate both equations, that is,

2x^2-3x-10=-3x^2+20

So, by moving the term -3x^3+20 to the left hand side, we have

5x^2-3x-30=0

Then, in order to solve this equation, we can apply the quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

In our case, a=5, b=-3 and c=-30. So we get

x=\frac{3\pm\sqrt{(-3)^2-4(5)(-30)}}{2(5)}

which gives

\begin{gathered} x=2.76779 \\ and \\ x=-2.16779 \end{gathered}

By substituting these points into one of the functions, we have

f(2.76779)=-2.982

and

f(-2.16779)=5.902

Then, by rounding these numbers to the nearest tenth, we have the following points:

\begin{gathered} (2.8,-3.0) \\ and \\ (-2.2,5.9) \end{gathered}

Therefore, the answer is the last option

4 0
1 year ago
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