Answer:
45 miles
Step-by-step explanation:
1/60 of one hour (60 minutes) equates to 1 minute
Karen is driving 3/4 of a mile in 1 minute to multiply 3/4 and 60 to get 45 miles
Answer:
400 mL
Step-by-step explanation:
0.50x + 0.20(600-x) = 0.40*600
50x + 20*600 - 20x = 40*600
30x = 20*600
x = 20*20
x = 400 mL
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
Answer:
71 degrees
Step-by-step explanation:
A right angle is 90 degrees, so the answer is 90-19=71 degrees.
