The response time includes the round-trip signal time plus the robot's travel time.
59 min = 2*(9.5 min) +travel time
59 min -2*(9.5 min) = travel time = 40 min
The speed is distance / travel time
speed = (52.8 m)/(40 min) = 1.32 m/min
The robot's average speed was 1.32 meters per minute.
Answer:
smaller: 3
larger: 27
Step-by-step explanation:
Hope this helps!
Answer:

Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
In this problem line AB and line BC are perpendicular
so

step 1
Find the slope AB
we have
A(p,4), B(6,1)
The formula to calculate the slope between two points is equal to

substitute the values


step 2
Find the slope BC
we have
B(6,1), and C(9,q)
The formula to calculate the slope between two points is equal to

substitute the values


step 3
Find the equation that relates p and q
we know that

we have


substitute



it's 8,
let the no. of tired students be x
add all the numbers of the happy, hungry and in between students and then subtract from the total of the student
which has to look smth like this
happy = 10
so we fill all the numbers in between then we add them and see what's missing
1+3+2 = 6
10-6 = 4
4 students are happy
hungry = 7
1+1+3 = 5
7-5 = 2
2 students are hungry
and lastly for tired, they didn't mention the total so we add all the numbers we got and subtract them by the total of students (just like mentioned above)
2+1+1+3+4+2 = 13
21-13 = 8
8 students were tired
x = 8
Answer:
$74.68
Step-by-step explanation:
Convert the percent to a decimal.
4% = 0.04
Multiply his income by the percentage to find the tax.
$1,867 × 0.04 = $74.68
He can expect to pay $74.68.