Answer: B) 2^(5/12)
Explanation:
The cube root is the same as an exponent of 1/3
![\sqrt[3]{x} = x^{1/3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%20%3D%20x%5E%7B1%2F3%7D)
Multiply this exponent 1/3 by the other exponents 5 and 1/4 to get
(1/3)*5*(1/4) = (1/3)*(5/1)*(1/4) = (1*5*1)/(3*1*4) = 5/12
which is the final exponent. The base 2 stays the same the entire time.
Answer:
y = -2x+1
Step-by-step explanation:
We can find the slope of the function by using the equation
m =(y2-y1)/(x2-x1)
We will use the points (3,-5) and (4,-7)
= (-7--5)/(4-3)
= (-7+5)/(4-3)
= (-2)/1
-2
We also know the y intercept ( when x=0 y=1) is 1
If we know the slope and the y intercept, we can use the slope intercept form of the equation of a line
y = mx+b where m is the slope and b is the y intercept
y = -2x +1
Answer:
37
Step-by-step explanation:
3 and 1 are vertical angles so 1 = 3
1/2- 10/20
1/10- 2/20
1/20- 1/20
So $35,000 is 7/20 of his money
Then divide 35000/(7/20) to get 100,000 as what he saves
Step-by-step explanation:
the volume of a cone is
base area × height / 3
and the case area is a circle, so we get
pi×r²×h/3
with e being the radius (half of the diameter), and h being the height.
therefore
pi×(11.9/2)²×3.5/3 = pi×(5.95)²×3.5/3 = 41.30291667... ft³