Answer:
The total distance traveled by the particle is S = 30.
Step-by-step explanation:
Given that velocity,
v(t) = 2t + 1
To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.
Integrating v(t) with respect to t, we have
s(t) = t² + t + C.
At t = 5
s(5) = 5² + 5 + C
= 25 + 5 + C
= 30 + C
At t = 0
S(0) = 0 + 0 + C
= C
The required distance is now
S(5) - S(0)
= 30 + C - C
= 30.
Let the width be x.
Length is 8 feet more than width. Length = x + 8
Area = x(x + 8)
width increased by 4, that is, (x + 4)
Length decreased by 5, (x + 8 - 5) = (x + 3)
Area = (x + 4)(x +3)
Area remains the same
x(x + 8) = (x+4)(x +3)
x² + 8x = x(x +3) + 4(x +3)
x² + 8x = x² +3x + 4x +12
x² + 8x = x² +7x +12 Eliminate x² from both sides
8x = 7x + 12
8x - 7x = 12
x = 12
Dimensions of original rectangle : x, x + 8
12, 12 +8 = 12, 20
Original rectangle is 20 feet by 12 feet
Answer:
16
Step-by-step explanation:
Well if you think about it, if she has a total of 10 attempts she has to make 8 of them to make it on the team. Now the total attempts is double so we double the number of throws she needs to make in order to make the team so to do this we would do 8*2 which is 16. She needs to make 16 throws to make it on the team.
Answer:
55.5
Step-by-step explanation:
find the median - in this case it's 60
then group the upper and lower halves of the data:
(11, 19, 35, 42) 60 (72, 80, 85, 88)
now we find the medians of those sets:
35 + 19/2 = 54/2 =27
80 + 85/2 = 165/2 = 82.5
then subtract those two medians to find the interquartile:
82.5 - 27 = 55.5
Let’s convert all their jumps into inches.
Breanna’s is already in inches (62)
Myquisha jumped 5 feet 4 inches
There are 12 inches in a foot, so
5 feet * 12 inches= 60 inches
Then add the 4 inches
60+4= 64
So Myquisha jumped 64 inches.
Ariana jumped 1 yard, 2 feet, 7 inches
1 yard is equal to 3 feet.
So, she jumped 5 feet 7 inches
12 inches in a foot, so
5*12=60 inches
Add the 7
60+7= 67 inches
So Breanna jumped 62, Myquisha 64 and Ariana 67
In order of shortest to longest:
Breanna, Myquisha, Ariana
