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3 years ago

How to find circumference if circles

Mathematics

2 answers:

sesenic [268]3 years ago

8 0

Answer:

use the equation 2(pie)r

MrRissso [65]3 years ago

7 0

use the equation 2(pie)r

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Long division (3a²-8a? +19a – 7) + (3a-2)

myrzilka [38]

Answer:

3a^2+12a-7

Step-by-step explanation:

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3 years ago

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He solution to the initial value problem x′′+2x′+26x=5cos(4t),x(0)=0,x′(0)=0 x″+2x′+26x=5cos⁡(4t),x(0)=0,x′(0)=0 is the sum of t

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4 years ago

The number 2,133,538 is between what two numbers in the ten thousands?

alexgriva [62]

Billionth number jsjuushshdd

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3 years ago

What is the inverse of f(x)=e^x

enot [183]

Answer:

$f^{-1}(x)=\ln{x}$

Step-by-step explanation:

An <em>inverse</em> function is any function that "undoes" another function. If we think of the function $f$ as some kind of machine that takes in a number $x$ as input and produces a number $f(x)$ as an output, when we give inverse function $f^{-1}$ the number $f(x)$ as in input, we get $x$ , our original input, as the output $f^{-1}(x)$

We need a function that undoes $f(x)=e^x$ , and the natural choice for undoing an exponent is with a logarithm. Here, our base is $e$ , so we'll choose $\log_e{x}=\ln{x}$ as our inverse function. Let's see how that works:

$f^{-1}(f(x))=\ln{e^x}$

$\ln{e^x}$ is the power we have to raise $e$ to to get $e^x$ , which is $x$ , so

$f^{-1}(f(x))=\ln{e^x}=x$

And we have our function.

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3 years ago

How many ways are there for six dogs and four cats to sit in a row in a strawberry field so that no two cats sit next to each ot

pickupchik [31]

Answer: 5,760

Step-by-step explanation:

$\\$ It was given that each dog is distinct from other dogs and each cat is distinct from other cats, Also from the hint given, the First position is for the dogs. $\\$ Let D represent the dogs and C represent the Cat , then we have

$\\$ D C D C D C D C D D or

$\\$ D D C D C D C D C D or

$\\$ D C DD C D C D C D or

$\\$ D C D C D D C D C D or

$\\$ D C D C D C DD C D

$\\$ Each of the arrangements above could be done in

$\\$ 2 x 4! x 4! ( it is constant that D is starting , so I am only left with the arrangement of the remaining 5 D's , out of the remaining 5 D's it is also constant that tow of them will be together and this could be done in 2 ways, so I have 4! left for the D's and 4! also for the C's )

$\\$ = 2 x 24 x 24

$\\$ = 1 , 152

$\\$ The total arrangement = 5 x 1 , 152

$\\$ = 5,7 60 ways

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3 years ago