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2 years ago

Simplify (12a^2b^6)^2

Mathematics

2 answers:

marishachu [46]2 years ago

6 0

You go through and square each term in the parentheses
(12a^2b^6)^2 = (12)^2(a^2)^2(b^6)^2 =
144a^4b^12

Marina86 [1]2 years ago

3 0

Well the answer i have is $144a^{4} b^{12}$

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4321342345670<br> +22347968

Ad libitum [116K]

the Answer is

4.3213647e+12

3 0

2 years ago

What is the equation represented by the order pairs {(0,32),(1,16),(2,8),(3,4)}?

bagirrra123 [75]

Answer:

The equation represented by the ordered pair is;

y = 2^(5-x)

Step-by-step explanation:

Here, we want to write the equation represented by the ordered pairs

From what we have in the question, we can see that while the x-values increase in arithmetic progression of 1

The y-values decrease in order of two geometrically

Thus, the equation is;

y = 2^(5-x)

5 0

2 years ago

What is the simplified version of -4(8r + 3)

Whitepunk [10]

Answer:

-8-3

Step-by-step explanation:

-4(8r+3)

-32r-12

divide both sides by 4

-8-3

5 0

2 years ago

Read 2 more answers

Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a

Bond [772]

$f(x)=3\sin x+3\cos x\implies f'(x)=3\cos x-3\sin x$

$f$ has critical points where $f'=0$ :

$3\cos x-3\sin x=0\implies\cos x=\sin x\implies\tan x=1\implies x=\pm\dfrac\pi4+2n\pi$

where $n$ is any integer. We get solutions in the interval $\left[0,\frac\pi3\right]$ for $n=0$ , for which $x=\frac\pi4$ .

At this critical point, we have $f\left(\frac\pi4\right)=3\sqrt2\approx4.243$ .

At the endpoints of the given interval, we have $f(0)=3$ and $f\left(\frac\pi3\right)=\frac{3+3\sqrt3}2\approx4.098$ .

So we have the extreme values

$\max\limits_{x\in\left[0,\frac\pi3\right]}f=3\sqrt2$

$\min\limits_{x\in\left[0,\frac\pi3\right]}f=3$

8 0

3 years ago

Helppppppppppppppppppppppppp

kumpel [21]

Answer:
x = 10

Explanation:
Note the following rules before we begin:
2 ln(a) = ln (a²)
ln (a) + ln (b) = ln (ab)

Now, for the given:
ln(20) + ln(5) = 2 ln(x)
ln(20*5) = ln(x²)
ln(100) = ln(x²)

This means that:
100 = x²
Therefore:
either x = 10 .........> acceped
or x = -10 .........> rejected as no negatives are allowed within ln functions

Hope this helps :)

5 0

3 years ago