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vaieri [72.5K]
3 years ago
10

Simplify the expression below. 2^3 x 2^2

Mathematics
2 answers:
Zigmanuir [339]3 years ago
7 0

Answer:

32 or~2^5

Step-by-step explanation:

→ (2^3)(2^2)

=2^3*2^2

=(2*2*2)*(2*2)

=2*2*2*2*2

=32

<u><em>You can also put this in another way:</em></u>

<em />2^5=2^3*2^2=2^3^+^2=2^5<em />

vekshin13 years ago
4 0

2^{3}\cdot 2^{2}=2^{3+2}=2^{5}\\\\because\\\\a^{x}\cdot a^{y}=a^{x+y}

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12(3+10)= 12x ?+ ? x10
Ksenya-84 [330]

Answer:12x3+12x10

Step-by-step explanation:

distribute the 12 to both terms

3 0
3 years ago
erica would like to bake an 3-pound roast for a family gathering. the cookbook tells her to bake a 6-pound roast for 138 minutes
BabaBlast [244]

We know that we need to bake 6 pound for 138 minutes, then we have the proportion:

\frac{6}{138}

Let x be the time we need to bake the 3 pound roast, in this case we have the proportion:

\frac{3}{x}

By equating both ratios we have the proportion:

\frac{3}{x}=\frac{6}{138}

Now, by simplifying the right side of the proportion we have that:

\begin{gathered} \frac{3}{x}=\frac{6}{138} \\ \frac{3}{x}=\frac{3}{69} \end{gathered}

For this proportion to be equal we need that x=69, therefore we need to cook the 3 pound roast for 69 minutes.

8 0
1 year ago
Normally I don’t ask for help but I’m very lost on question 4. I know I need to first find the derivative of f(x) but I’m not su
Daniel [21]

Answer:

\displaystyle f'(\frac{\pi}{4})=2

Step-by-step explanation:

<u>Trigonometric Derivatives</u>

We have the function

\displaystyle f(x)=\sin x \csc x-\frac{1}{\tan x}

We must recall that the sine and the cosecant are reciprocal functions, i.e.:

\displaystyle \sin x =\frac{1}{\csc x}

Also, the reciprocal of the tangent is the cotangent:

\displaystyle \cot x =\frac{1}{\tan x}

Thus:

\displaystyle f(x)=1-\cot x

Now it's easier to take the derivative

\displaystyle f'(x)=0+\csc^2 x= \csc^2 x

Evaluating for x=π/4:

\displaystyle f'(\frac{\pi}{4})= \csc^2 \frac{\pi}{4}

Since csc π/4=\sqrt{2}:

\displaystyle f'(\frac{\pi}{4})= \sqrt{2}^2

\displaystyle f'(\frac{\pi}{4})=2

8 0
3 years ago
A coach spends a total of $435 to buy a uniform and a soccer ball for each of the 15 players on the team. The cost of each socce
ale4655 [162]
15 players times the uniforms(x) and the cost of the ball equals the total spent 15(x+8)=435
3 0
2 years ago
Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi.
Lady bird [3.3K]

Answer:

Step-by-step explanation:

The volume of a cone is

V=\frac{1}{3}\pi r^2h

Filling in what we have:

104.67=\frac{1}{3}(3.14)r^2(4)  and simplifying a bit:

104.67=\frac{1}{3}(12.56)r^2

Multiply both sides by 3 to get:

314.01=12.56r^2

Divide both sides by 12.56 to get:

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r = 5

If the radius is 5 and the radius by definition is half the diameter, then the diameter is 10 inches.

7 0
3 years ago
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