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viktelen [127]
3 years ago
12

If f(x)= 2^x, then f(log to the base 2 (5))=

Mathematics
1 answer:
AnnyKZ [126]3 years ago
8 0

Let's plug the value:

f(x)=2^x \implies f(\log_2(5))=2^{\log_2(5)}

Recall that exponent and logarithm are inverse operations:

a^{\log_a(b)}=b

So, we have

2^{\log_2(5)}=5

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Please help, as soon as possible...
vodomira [7]

Answer:

1. a) Square

2. c) Rectangle

Step-by-step explanation:

1. If you cut this rectangular prism in way to be PERPENDICULAR to the base, that means you're cutting it straight down, from the top to the bottom, in a vertical line.  The cross-section obtained will be just like an end of the prism, which in this case is a square.  Because it's a regular rectangular prism, no matter where you cut it, as long as it's vertical, perpendicular to the base, you'll get a square due to this particular form.  Technically, the answer could also be a rectangle, since a square is a rectangle.

2.  you cut this rectangular prism in way to be PARALLEL to the base, that means you're cutting it straight, from the front to the back, in an horizontal line. The cross-section obtained will be just like an top of the prism, which in this case is a rectangle.  Because it's a regular rectangular prism, no matter where you cut it, as long as it's an horizontal line, parallel to the base, you'll get a rectangle due to this particular form.

6 0
3 years ago
Assume that the Poisson distribution applies and that the mean number of aircraft accidents is 9 per month. Find​ P(0), the prob
Ugo [173]

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Step-by-step explanation:

Given :  Mean number of aircraft accidents = 9 per month

The Poisson distribution formula :-

\dfrac{e^{-\lambda}\lambda^x}{x!}, where \lambda is the mean of the distribution.

If X = the number of aircraft accidents per month, then the probability that in a​ month, there will be no aircraft accidents will be :-

\dfrac{e^{-9}(9)^0}{0!}=0.000123409804087\approx0.0001

Hence, the probability that in a​ month, there will be no aircraft accidents = 0.0001

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