First convert the terms to fractional exponents
u = t^2/3 - 3t^3/2
differentiating
u' = 2/3 t^ (2/3 - 1) - 3* 3/2 t^(3/2 - 1)
= 2/3 t ^(-1/3) - 9/2 t ^(1/2)
= 2 / (3∛t) - 9 √ t / 2 in radical form
Answer:
0.47x + 7.72
Step-by-step explanation:
We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)
The general equation of the line in slope intercept form is
y = mx + c
where m is the slope and c is the y-intercept.
Calculating the slope:

Using the value of m in above equation we get:
y = 0.47x + c
Calculating the y-intercept:
Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:
17.5 = 0.47(21) + c
c = 17.5 - 0.47(21)
c = 7.63
Therefore, the equation is:
y = 0.47x + 7.63
Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.
So from the given options, the correct answers is:
y = 0.47x + 7.72
Your distance(d) is 1,814.4
1814.4 m = 5.6t square
then you square root 5.6t

the square root eliminates the square

you square root 1,814.4 m

(I rounded 42.6) then divide 42.6 by 5.6

(I rounded 7.6)
Answer: 159%
Step-by-step explanation: all of the first square is shaded, which is obviously 100%, 59 out of 100 is shaded in the second one which means it is 159%
Answer:The first one is 2.333333333
Step-by-step explanation:Simplifying
5(2 + -1j) + (2j + -3) = 0
(2 * 5 + -1j * 5) + (2j + -3) = 0
(10 + -5j) + (2j + -3) = 0
Reorder the terms:
10 + -5j + (-3 + 2j) = 0
Remove parenthesis around (-3 + 2j)
10 + -5j + -3 + 2j = 0
Reorder the terms:
10 + -3 + -5j + 2j = 0
Combine like terms: 10 + -3 = 7
7 + -5j + 2j = 0
Combine like terms: -5j + 2j = -3j
7 + -3j = 0
Solving
7 + -3j = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + -3j = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -3j = 0 + -7
-3j = 0 + -7
Combine like terms: 0 + -7 = -7
-3j = -7
Divide each side by '-3'.
j = 2.333333333
Simplifying
j = 2.333333333