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.
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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
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The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
Answer:
32 inches^3
Step-by-step explanation:
Volume = 1/2 ( base x height x length)
0.5 ( 4 x 2 x 8) = 32 inches^3
Answer:
Janelle will make <u>62 baskets</u> on 14th day.
Step-by-step explanation:
Given,
Number of goals on 1st day = 10
We need to find the number of goals on 14th day.
Solution,
Since Janelle made 10 goals on 1st day and want to make 4 more basket from the day before.
So we can say that;
and 
And also 
here 
= first term
d = common difference
n = number of terms
Now we apply the formula of A.P.
now substituting the given values, we get;
Hence Janelle will make <u>62 basket</u> on 14th day.
Answer:
2x + 1 ≥ 11
Step-by-step explanation:
I believe this is it. Hope this helped!
First we have to isolate the varible
-2/5x-2=18
+2 +2
-2/5x=20
then divide both sides by -2/5 to get x completely by itself
-2/5x=20
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-2/5 -2/5
x=-50
i hope i've helped!
