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tatuchka [14]
3 years ago
9

A cylindrical tank of radius 2.5 feet is being drained of water at a rate of `0.25\ ft^{3}/\sec`. How fast is the height of the

water decreasing?
Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

Answer:

DONT PRESS THAT LINK

Step-by-step explanation:

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I actually don’t get this and I have a test in 2 days please help what is g(x) and how
nataly862011 [7]

first off, is noteworthy that's the graph of an exponential function, thus the function will be along the lines of g(x) = abˣ , now, what's "a" and "b" values?

well, let's take a peek when x = 0 and x = 1.

\bf g(x) = ab^x \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x = 0\\ y = 1 \end{cases}\implies 1=ab^0\implies 1=a(1)\implies \boxed{1=a} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x = 1\\ y = 4 \end{cases}\implies 4 = ab^1\implies 4=1b^1\implies \boxed{4=b} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill g(x) = 4^x\qquad \qquad \qquad \begin{array}{|c|c|ll} \cline{1-2} x&y\\ \cline{1-2} -2&\frac{1}{4^2}\to \frac{1}{16}\\ -1&\frac{1}{4}\\ 0&1\\ 1&4\\ 2&16\\ \cline{1-2} \end{array}~\hfill

8 0
3 years ago
A planned community has 150 homes, each with an automatic garage door opener. The door opener has seven switches that a homeowne
alexdok [17]

Answer:

The probability that at least two homeowners will set their switches to the same code is 100%.

Step-by-step explanation:

Consider the provided information.

The total number of code can be set with 0 or 1 is:

2×2×2×2×2×2×2=128

There are 128 different codes.  

The probability that code is unique is 1/128

Now, the probability that all codes are unique is:

[\frac{1}{128}]^{150}

Hence, the probability that all the codes are not unique is:

1-[\frac{1}{128}]^{150} \approx 1

Because the value of [\frac{1}{128}]^{150} is very small

As they can set 128 different codes and there are 150 homes. So, at least two homeowners will set their switches to the same code is 100%.

Hence, the probability that at least two homeowners will set their switches to the same code is 100%.

5 0
3 years ago
Rectangular prisms A and B are similar.
IRISSAK [1]
27 times smaller or 1/27 because 3^3 equals to 27.
4 0
4 years ago
Read 2 more answers
What is the value of x in the equation 5x-7=28
fredd [130]

5x -7 = 28

Add 7 to both sides:

5x = 35

Divide both sides by 5:

X = 7

The answer is x = 7

6 0
3 years ago
Which represents the solution set of the inequality 5x-9 less than or equal to 21
Burka [1]
X=6 because if you do it backwards and add 9 to 21 then divide 6 from 30 then you get 5
8 0
3 years ago
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