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erma4kov [3.2K]
1 year ago
15

I need help simplify: 4^8/4^-4

Mathematics
1 answer:
LenKa [72]1 year ago
5 0

Answer:

4^{12}

Step-by-step explanation:

using the rule of exponents

\frac{a^{m} }{a^{n} } = a^{(m-n)} , then

\frac{4^{8} }{4^{-4} } = 4^{(8-(-4))} = 4^{(8+4)} = 4^{12}

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A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
shepuryov [24]

Answer:

y = 5      

Step-by-step explanation:

Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.

We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.

8 0
3 years ago
What is 4/20 simplified
frozen [14]
4/20 simplified would be 1/5. You must know what simplify means first. It means to break down a fraction to its simplest form. So, to simplify 4/20, you must divide 4 from the denominator and numerator. A numerator is a number that is the number above the line. A denominator is the number on the bottom of the line. 
Dividing 4 from the denominator and numerator would make it 1/5. Therefore, the answer in simplest form is 1/5. Good luck!
6 0
3 years ago
Read 2 more answers
one side of a square is 10 units. which is greater,the number of square units for the area of the square or the number of units
user100 [1]
Hello Shaffer23,
All sides of a square are the same length so since the side is 10 units
Perimeter=40units
but to find the area of a square it is BasexHeight
10x10
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So the answer would be the units for area
~Naterator
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8 0
3 years ago
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What is the number three thousand eighty expressed in scientific notation?
valentinak56 [21]

Answer:

3.08 x 10^{3}

Step-by-step explanation:

3080 = 3.08 x 1000 = 3.08 x 10^{3}

6 0
3 years ago
Suppose that, after measuring the duration of many telephone calls, a telephone company found their data was well-approximated b
Musya8 [376]

Answer:

a) 7.79%

b) 67.03%

c) Cumulative Distribution Function

P(t) = \displaystyle\int^{\infty}_{-\infty} 0.1e^{-0.1t}~dt\\\\= \displaystyle\int^{b}_{a} 0.1e^{-0.1t}~dt, ~~a\leq t \leq b

Step-by-step explanation:

We are given the following in the question:

p(x) = 0.1 e^{-0.1x}

where x is the duration of a call, in minutes.

a) P( calls last between 2 and 3 minutes)

=\displaystyle\int^3_2 p(x)~ dx\\\\= \displaystyle\int^3_20.1e^{-0.1x}~dx\\\\=\Big[-e^{-0.1x}\Big]^3_2\\\\=-\Big[e^{-0.3}-e^{-0.2}\Big]\\\\= 0.0779\\=7.79\%

b) P(calls last 4 minutes or more)

=\displaystyle\int^{\infty}_4 p(x)~ dx\\\\= \displaystyle\int^{\infty}_40.1e^{-0.1x}~dx\\\\=\Big[-e^{-0.1x}\Big]^{\infty}_4\\\\=-\Big[e^{\infty}-e^{-0.4}\Big]\\\\=-(0- 0.6703)\\= 0.6703\\=67.03\%

c) cumulative distribution function

P(t) = \displaystyle\int^{\infty}_{-\infty} 0.1e^{-0.1t}~dt\\\\= \displaystyle\int^{b}_{a} 0.1e^{-0.1t}~dt, ~~a\leq t \leq b

6 0
4 years ago
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