Answer:3
Step-by-step explanation:
Answer:
3 * 8^(x/2)
Step-by-step explanation:
The third answer choice is the correct one.
Here's how:
3squareroot of 8^x = 3√(8^x) = 3*(8^x)^(1/2) = 3 * 8^(x/2)
Answer:
x = 10/9
Step-by-step explanation:
Solve for x:
(4 x)/5 + 4/3 = 2 x
Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:
(12 x)/15 + 20/15 = 2 x
(12 x)/15 + 20/15 = (12 x + 20)/15:
(12 x + 20)/15 = 2 x
Multiply both sides by 15:
(15 (12 x + 20))/15 = 15×2 x
(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:
12 x + 20 = 15×2 x
15×2 = 30:
12 x + 20 = 30 x
Subtract 30 x from both sides:
(12 x - 30 x) + 20 = 30 x - 30 x
12 x - 30 x = -18 x:
-18 x + 20 = 30 x - 30 x
30 x - 30 x = 0:
20 - 18 x = 0
Subtract 20 from both sides:
(20 - 20) - 18 x = -20
20 - 20 = 0:
-18 x = -20
Divide both sides of -18 x = -20 by -18:
(-18 x)/(-18) = (-20)/(-18)
(-18)/(-18) = 1:
x = (-20)/(-18)
The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):
x = (-10)/(-9)
Multiply numerator and denominator of (-10)/(-9) by -1:
Answer: x = 10/9
Answer:94 m^2
Step-by-step explanation:
surface area equation for rectangle is 2*(a*b + a*c + b*c)
where a=4 b=5 and c=3
so substitute in all numbers and get:
Surface Area = 2×(4×5 + 4×3 + 5×3)
do the maths and got a solid 94 meters
(I squared because in this equation you are multiplying numbers that equal the area of a surface and not the whole volume which would be cubed)
Answer:
Step-by-step explanation:
a) p(blue & hybrid & not-leather) = p(blue)×p(hybrid)×p(not leather)
= (1/3)×(1/2)×(2/3) = 1/9
__
b) p(electric & not-blue) = p(electric)×p(not blue) = (1/2)(2/3) = 1/3
_____
Among a given set of choices, the probability of any one of them is 1 divided by the number of choices. The probability of that the choice is not one of those is the probability that it is, subtracted from 1.
<u>Example</u>: there are 3 colors, so p(green) = 1/3; p(not-green) = 1 -1/3 = 2/3.
