Answer:
p: (-4)2 > 0
r: Two angles, whose measure have a sum of 90, are supplements.
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
_____
<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
__
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:
(B) 5/6 ·13÷4
(C) 5/6 ÷4·13
(D) 5/6 · 13/4
Step-by-step explanation:
Amount of paint per can =
liters.
Number of cans used to paint 4 cars = 13
Total amount of paint used for 4 cars =
liters.
=
liters.
=
liters.
Total amount of paint used for 1 car =
liters.
=
liters.
Of the given options, option B,C and D correspond to the same value.
Answer: 14 grams
Step-by-step explanation:
It took 4 balloons to make a duck that weighs 56 grams to float. With one balloon, the number of grams that will float will be 56 grams divided by 4. This will be:
= 56 grams ÷ 4
= 14 grams
The movies of 120 min or less than 120 mins are 100
Further explanation:
A histogram is a visual representation of data.
In the given histogram we can see that
5 movies are 0 to 30 minutes, 10 movies are 31 to 60 minutes, 30 movies are 61 to 90 minutes, 55 movies are 91 to 120 minutes, and 15 movies are over 120 minutes.
In order to find the number of movies which are 120 minutes long or less than 120 minutes we will add up all the number of movies with 120 length and less than that
So,

The movies of 120 min or less than 120 mins are 100
Keywords: Histogram, reading histograms
Learn more about histograms at:
#LearnwithBrainly