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aliina [53]
3 years ago
10

A cereal box has a height of 32 centimeters. it has a base with an area of 160-square centimeters. What is the volume,in cubic c

entimeters, of the cereal box?
Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0
Volume=legnth times widht times height
legnth times width=area of base
so
volume=area of base times height for a prism

area of base=160
height=32
volume=160 times 32
volume=5120


volume is 5120 cubic centimeters or
5120 cm^3
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Given f (x) = x2 + 5x + 6, what is f of the quantity 2 plus h end quantity minus f of 2 all over h equal to?
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We want to get the difference quotient for the given function, we will get see that the difference quotient is equal to:

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<h3>The difference quotient:</h3>

For a given function f(x), we define the difference quotient as:

\lim_{h \to 0}  \frac{f(x + h) - f(x)}{h}

In this case, we have:

f(x) = x^2 + 5x + 6

Replacing that in the difference quotient we get:

\lim_{h \to 0}  \frac{(x + h)^2 + 5*(x + h) + 6 - x^2 - 5x - 6}{h}\\\\\lim_{h \to 0}  \frac{x^2 + 2xh + h^2 + 5*x + 5*h + 6 - x^2 - 5x - 6}{h}\\\\\lim_{h \to 0}  \frac{ 2xh + h^2 + 5*h }{h}\\

Now we can cancel the factor h to get:

\lim_{h \to 0}  2x + h + 5 = 2x + 0 + 5 = 2x + 5

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3 years ago
{2x+2y=2,2(x+y)=10}A. single solution B. no solution C. infinite solutions
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To find the number of solutions of a system of linear equations you need to identify the slope (m) in each equation:

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You have the next equations:

\begin{gathered} 2x+2y=2 \\ 2(x+y)=10 \end{gathered}

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\begin{gathered} 2y=-2x+2 \\ y=-\frac{2}{2}x+\frac{2}{2} \\  \\ y=-x+1 \end{gathered}

Second equation:

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