3 years ago

In an exponential function of the form f(x) = ab", a is the

Mathematics

1 answer:

marta [7]3 years ago

5 0

Answer:

Step-by-step explanation:

pls give brainlest

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Peter has 3200 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed a

salantis [7]

Answer:

$A = 640000\,yd^{2}$

Step-by-step explanation:

Expression for the rectangular area and perimeter are, respectively:

$A (x,y) = x\cdot y$

$3200\,yd = 2\cdot (x+y)$

After some algebraic manipulation, area expression can be reduce to an one-variable form:

$y = 1600 -x$

$A (x) = x\cdot (1600-x)$

The first derivative of the previous equation is:

$\frac{dA}{dx}= 1600-2\cdot x$

Let the expression be equalized to zero:

$1600-2\cdot x=0$

$x = 800$

The second derivative is:

$\frac{d^{2}A}{dx^{2}} = -2$

According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:

$y = 800$

The maximum area is:

$A = (800\,yd)\cdot (800\,yd)$

$A = 640000\,yd^{2}$

8 0

3 years ago

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Please help................

alexira [117]

Answer:

so $2^{8}$ equals 2x2x2x2x2x2x2x2

Step-by-step explanation:

Its that because when expanding Exponents, you always put the first number of the exponet first. like for example, $3^{2}$ , you put the three 2 times and multiply. 3x3

8 0

3 years ago

Which expression is equivalent to 100 in exponential form? A) 102 B) 210 C) 10 × 10 D) 4 × 25

Paul [167]

Answer:

A) 10^2

Step-by-step explanation:

100 is 10 times 10 or 10 to the second power

100 = 10 * 10 = 10 ^2

6 0

3 years ago

Who knows math and can help me answer these ?!

amm1812

Answer:

Whats that is that an question?

7 0

3 years ago

I can’t answer this can someone please help me

KATRIN_1 [288]

Answer:

5,400.3 * 10^3

8 0

3 years ago

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