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2 years ago

Can someone please help me?

Mathematics

1 answer:

storchak [24]2 years ago

6 0

5lbs=8.25
/5 /5
1lbs=1.65

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Ya'll fr get 50 points if you answer this. <br> What is the rate of change of <img src="https://tex.z-dn.net/?f=f%28x%29%3D2%5Ex

Evgesh-ka [11]

Answer:

$\dfrac{dy}{dx}=2^x\ln 2$

Step-by-step explanation:

**This is a non-linear function and therefore <u>does not have a constant rate of change</u>. It will have a different slope depending on what points you use in the average rate of change formula: $\mathsf{average \ rate \ of \ change = \dfrac{change \ in \ y}{change \ in \ x}}$

To calculate rate of change, differentiate.

substitute y for $f(x)$ :

$\implies y=2^x$

Take natural logs of both sides:

$\implies \ln y=\ln 2^x$

Apply the log rule $\ln a^b=b \ln a$ :

$\implies \ln y=x\ln 2$

Differentiate with respect to $x$ :

$\implies \dfrac{1}{y} \frac{dy}{dx}=\ln 2$

Mulitply both sides by $y$ :

$\implies \dfrac{dy}{dx}=y\ln 2$

Replace $y$ with $y=2^x$

$\implies \dfrac{dy}{dx}=2^x\ln 2$

Therefore, rate of change of the function is :

$\dfrac{dy}{dx}=2^x\ln 2$

8 0

2 years ago

Y-5x=3 solve for Y how do I find the answer for Y?

Kisachek [45]

The answer is y=3+5x

8 0

2 years ago

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The Lacrosse booster club is holding a raffle for a fundraiser. They will sell 100 tickets for $5 each and select 4 winners. All

Nadusha1986 [10]

Answer:

<h2>There are 3,921,225 ways to select the winners.</h2>

Step-by-step explanation:

This problem is about combinations with no repetitions, because the same person can't win four times. It's a combinaction because the order of winning doesn't really matter.

Combinations without repetitions are defined as

$C_{n}^{r} =\frac{n!}{r!(n-r)!}$

Where $n=100$ and $r=4$ .

Replacing values, we have

$C_{100}^{4} =\frac{100!}{4!(100-4)!}=\frac{100!}{4! 96!}=\frac{100 \times 99 \times 98 \times 97 \times 96!}{4! \times 96!}= \frac{94,109,400}{24}= 3,921,225$

Therefore, there are 3,921,225 ways to select the winners.

Additionally, as you can imagine, the probability of winning is extremely low, it would be 3,921,225 to 1.

3 0

2 years ago

Whats the value of x

fiasKO [112]

Answer:

x=14

Step-by-step explanation:

you should set up your problem like this:

5x=3x+28

use order of operations aka PEMDAS to solve

you're answer is 14

8 0

1 year ago

2/9+5/6 in simplest form

never [62]

2/9+5/6 in simplest form is 1 1/18
Hope this helped :P

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2 years ago

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