for example lets use 3^2 + 4^2, you add the main numbers, 3 and 4 to get 7, then there are still the exponents, the squared signs, they don't change, they stay as a two. If your problem required a single whole number, then you have to square the 7, 7*7 is 49, so that or 7^2 would be your final answer.
Answer:
Option A.
Step-by-step explanation:
It is given that the smallest of 6 consecutive integers is p. So, all numbers are
The greatest is q.
Now, the value of the average of p and q in terms of p is
Therefore, the correct option is A.
Answer:
5a. -0.4 m/s²
5b. 290 m
6. 12.9 s
7. 100 s
8. 17.2 km/hr
Step-by-step explanation:
5. "While approaching a police officer parked in the median, you accelerate uniformly from 31 m/s to 27 m/s in a time of 10 s.
a. What is your acceleration?
b. How far do you travel in that time?"
Given:
v₀ = 31 m/s
v = 27 m/s
t = 10 s
Find: a and Δx
v = at + v₀
(27 m/s) = a (10 s) + (31 m/s)
a = -0.4 m/s²
Δx = ½ (v + v₀) t
Δx = ½ (27 m/s + 31 m/s) (10 s)
Δx = 290 m
6. "If a pronghorn antelope accelerates from rest in a straight line with a constant acceleration of 1.7 m/s², how long does it take for the antelope to reach a speed of 22 m/s?"
Given:
v₀ = 0 m/s
v = 22 m/s
a = 1.7 m/s²
Find: t
v = at + v₀
(22 m/s) = (1.7 m/s²) t + (0 m/s)
t = 12.9 s
7. "A 1200 kg airplane starts from rest and moves forward with a constant acceleration of 5 m/s² along a runway that is 250 m long. How long does it take the plane to travel the 250 m?"
Given:
v₀ = 0 m/s
a = 5 m/s²
Δx = 250 m
Find: t
Δx = v₀ t + ½ at²
(250 m) = (0 m/s) t + ½ (5 m/s²) t²
t = 100 s
8. "During a marathon, a runner runs the first 10 km in 0.58 hours, the next 10 km in 0.54 hours and the last 10 km in 0.62 hours. What is the average speed of the runner during that marathon?"
This isn't a constant acceleration problem, so there's no need for a chart.
Average speed = total distance / total time
v = (10 km + 10 km + 10 km) / (0.58 hr + 0.54 hr + 0.62 hr)
v = 30 km / 1.74 hr
v = 17.2 km/hr
Answer:
1 is your answer for p
Step-by-step explanation:
First simplify. Divide 6 with 2
-6/2 = -3
10p + 5 = 18p - 3
Next, isolate the p. Note the equal sign. What you do to one side, you do to the other. Subtract 5 and 18p from both sides
10p (-18p) + 5 (-5) = 18p (-18p) - 3 (-5)
10p - 18p = -3 - 5
Simplify. Combine like terms
-8p = -8
Isolate the p. Divide -8 from both sides
(-8p)/-8 = (-8)/-8
p = -8/-8
p = 1
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<em>~Senpai</em>
