Answer:
the answer is $47.70
Step-by-step explanation:
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:
22 and 158
Step-by-step explanation:
Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.
- "the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
- "x represents the measure of the smaller angle" is represented as x.
x + 7x+4 =180
8x+4=180
8x=176
x= 22
This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158
Correct answer is B
10/15=.666
This is RW divided by RT
Now you have to use the scale factor. Multiply by 18 to get WV
18 x 0.666 = 12
Good Luck Thnks for brainiest :)
Answer:
The correct option is B. 23%
Step-by-step explanation:
Let the event that patient brushes his teeth at least twice a day is denoted by A
So, P(A) = 0.83
Let the event that patient flosses daily is denoted by B
So, P(B) = 0.47
Now, it is given that 19 percent patients brush at least twice a day and floss daily.
⇒ P(A and B) = 0.19
Now, we need to find conditional probability of occurring event B given A has occurred.
Hence, Nearest required percentage = 23%
Therefore, The correct option is B. 23%
