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3 years ago

Describe how (2^3)(2^-4) can be simplified.

Mathematics

2 answers:

Marat540 [252]3 years ago

8 0

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Monica [59]3 years ago

6 0

Answer:

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Step-by-step explanation:

your welcome

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Find the domain and range of the function: f(x) =5-x-3 to the square root Domain: Range:

mario62 [17]

Domain: ( -infinity, infinity ) , { x|x € R }
Range: ( -infinity, infinity ) , { y|y € R }

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3 years ago

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Find the quotient show work please

Papessa [141]

5/68 5 can go into 68 13 times with a remainder of 3 So we add a decimal point and a zero. Carry the 3 and zero down making 30 5 can go into 30 6 times making the answer 13.6

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3 years ago

On sunday 1/16 of the people who visited for senior citizens, 3/16 or infants, 3/8 were children, and 3/8 for adults. How many o

Trava [24]

1/16=1,003, so

senior= 1003
infants=3009
children=6018
adults=6018

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3 years ago

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To the nearest tenth, find the perimeter of ABC with vertices A(-1,4), B(-2,1) and C(2,1). show your work

liubo4ka [24]

we have to firstly apply the distance formula to find the length of sides of the triangle

distance formula = $\sqrt{(x_{2} -x_{1})^2 +(y_{2}- y_{1})^2}$

So length AB = $\sqrt{(-2-(-1))^2+(1-4)^2}= \sqrt{1 +9}=\sqrt{10}$

BC= $\sqrt{(2-(-2))^2+(1-1)^2}= \sqrt{16+0}=4$

AC = $\sqrt{(2-(-1))^2+ (1-4)^2}= \sqrt{9+9}=\sqrt{18}=3\sqrt{2}$

Now perimeter = AB+BC+AC = $\sqrt{10}+4+3\sqrt{2}$

Plug in calculator

perimeter= 11.4 units

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3 years ago

22. One kilometer is approximately 0.62 mile. What fraction represents this length?

bixtya [17]

Answer:

One kilometer is $\frac{31}{50}$ miles

Explanation:

To convert a decimal to a fraction:

1- Write the decimal as a fraction whose denominator is 1

2- Multiply both numerator and denominator by multiples of 10 to eliminate the decimal point

3- Simplify the fraction you have

Now, for the given problem:

The given decimal is 0.62, following the above steps:

Step 1:

$0.62 = \frac{0.62}{1}$

Step 2:

We have two digits after the decimal point, so to eliminate the decimal point, we will multiply the numerator and the denominator by 100

$0.62 = \frac{0.62}{1} * \frac{100}{100} = \frac{62}{100}$

Step 3:

We can note that, in the fraction obtained from step 2, both the numerator and the denominator are divisible by 2, so we simplify as follows:

$\frac{62}{100} = \frac{62/2}{100/2} =\frac{31}{50}$

Hope this helps :)

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3 years ago