Step-by-step explanation:
What is 45% of 150?
Y is 45% of 150
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 45% * 150
Converting percent to decimal:
p = 45%/100 = 0.45
Y = 0.45 * 150
Y = 67.5
Brainliest?
Answer:
z = x^3 +1
Step-by-step explanation:
Noting the squared term, it makes sense to substitute for that term:
z = x^3 +1
gives ...
16z^2 -22z -3 = 0 . . . . the quadratic you want
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<em>Solutions derived from that substitution</em>
Factoring gives ...
16z^2 -24z +2z -3 = 0
8z(2z -3) +1(2z -3) = 0
(8z +1)(2z -3) = 0
z = -1/8 or 3/2
Then we can find x:
x^3 +1 = -1/8
x^3 = -9/8 . . . . . subtract 1
x = (-1/2)∛9 . . . . . one of the real solutions
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x^3 +1 = 3/2
x^3 = 1/2 = 4/8 . . . . . . subtract 1
x = (1/2)∛4 . . . . . . the other real solution
The complex solutions will be the two complex cube roots of -9/8 and the two complex cube roots of 1/2.
Answer: a screw
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The sum to n terms of a geometric sequence is
=
where a is the first term and r the common ratio
The expression inside the summation is
4 ← the nth term of a geometric sequence
with a = 4 and r = , then
=
=
= ( )
=
= 5