Answer:
15.7
Step-by-step explanation:
5 x 3.14(pi) = 15.7
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:
$570
Step-by-step explanation:
500 * 1.2 = $600 after 20% pay raise
600 * .95 = $570 after 5% pay cut
Answer:
x=-2,2
Step-by-step explanation:
Since this is a quadratic equation, -2 or 2 could be the possible answer
Steps
$3x^2=12$
$\mathrm{Divide\:both\:sides\:by\:}3$
$\frac{3x^2}{3}=\frac{12}{3}$
$\mathrm{Simplify}$
$x^2=4$
$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$
$x=\sqrt{4},\:x=-\sqrt{4}$
Show Steps
$\sqrt{4}=2$
Show Steps
$-\sqrt{4}=-2$
$x=2,\:x=-2$
Answer:
1350
Step-by-step explanation:
I added tower A and B together (90+180) Which gives me 270. Then I did;
270 * 5= 1350 ft. Hope its correct!
