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kakasveta [241]
2 years ago
8

3

Mathematics
1 answer:
Genrish500 [490]2 years ago
7 0
Yes yes yes it’s it’s yes yes yes all him full
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As you can see I keep getting questions wrong.... Can you answer the last question?
aivan3 [116]

Answer:

  y = 0

Step-by-step explanation:

It is always a good idea to look at the question and make some observations about it. Here, you might observe ...

  • all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
  • y is a factor of every exponent

The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.

__

To solve the equation, you can write it in terms of powers of 3.

  (3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)

  3^(-5y) = 3^(-15y)·3^(-4y)

  3^(-5y) = 3^(-19y)

  -5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3

  14y = 0 . . . . . . . . . . add 19y

  y = 0 . . . . . . . . . . . one solution

______

The rules of exponents we used are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  1/a^b = a^-b

4 0
3 years ago
You are designing a container in the shape of a cylinder. The radius is 5 inches. You want the container to hold at least 725π c
12345 [234]

Answer:

The answer to your question is: h = 14.5 in

Step-by-step explanation:

Data

radius = 5 in

Volume = 725 π in³

height = ?

Formula

               Volume = 2πr²h

           

Substitution

                     725 π in³ = 2πr² h

                    h = 725π / 2πr²

                    h = 725 / 2(5)²

                    h = 725 / 50

                    h = 14.5 in

3 0
3 years ago
Miguel is going for a walk. he takes 3 hours to walk 7.5 miles. what is his speed?
daser333 [38]
We have a ratio of 3 hours / 7.5 miles
We want to know how many miles he can walk in 1 hour so, divide both sides by 3 -> 1 hour / 2.5 miles
He is walking at 2.5 mph
7 0
3 years ago
Read 2 more answers
Two Algebra questions^^^
guapka [62]
5 = c. infinite.
6 = I don't know. sorry!!
Hope this helps!!
4 0
3 years ago
For a population with a mean of u = 40 and a standarddeviation of o = 8, find the z-score corresponding toeach of the following
ivann1987 [24]

Solution:

Given the mean and standard deviation;

\mu=40,\sigma=8

The z-score formula is;

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

(a)

\begin{gathered} x=34,n=1 \\  \\ z=\frac{34-40}{\frac{8}{\sqrt{1}}} \\  \\ z=-0.75 \end{gathered}

(b)

\begin{gathered} x=34,n=4 \\  \\ z=\frac{34-40}{\frac{8}{\sqrt{4}}} \\  \\ z=-1.5 \end{gathered}

(c)

\begin{gathered} x=34,n=16 \\  \\ z=\frac{34-40}{\frac{8}{\sqrt{16}}} \\  \\ z=-3 \end{gathered}

5 0
1 year ago
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