Answer:
From what i know your answer will be a.
Answer: 1,296 m
iles
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Distance = Speed rate x time
- speed rate = 54 miles per hour
- time = 24 hours
Replacing with the values given and solving for D (distance)
D = 54 mph x 24 h = 1,296 m
The car traveled 1,296 miles
Feel free to ask for more if needed or if you did not understand something.
Answer:
A
Step-by-step explanation:
All pieces of data for seventh grade classes are larger than that of any kindergarten class on the table. This also proves with the mean provided.
The MAD, mean absolute deviation, helps you to identify the variation. The MAD for seventh grade was significantly larger than that of the kinder classes. The range for both sets of data is two times one another, further proving that 7th grade classes varies more.
C and D are irrelevant, and B says "varies less" which is the opposite of what's going on.
Hope that helps!
Answer:
67
Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,
\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$
Also,
\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.
There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.
This is the aops answer :)
