Answer:
the total number who liked pop or rock music ik the age geoup is 186
Step-by-step explanation:
Here Given
Total counters = 81
red counters are 9 more than the yellow ones.
And Yellow counter = blue counter
So let the Yellow counter be x and as blue counter and yellow counter are same then blue counter will be also x
And by the question
Red counter = 9 + x
Now
9 + x + x + x = 81
9 + 3x = 81
3x = 81 - 9
3x = 72
x = 72 / 3
Therefore x = 24
Now
Red counters = 9 + 24 = 33
Blue counters = 24
Yellow counters = 24
Hope it helped :)
<span>et us assume that the origin is the floor right below the 30 ft. fence
To work this one out, we'll start with acceleration and integrate our way up to position.
At the time that the player hits the ball, the only force in action is gravity where: a = g (vector)
ax = 0
ay = -g (let's assume that g = 32.8 ft/s^2. If you use a different value for gravity, change the numbers.
To get the velocity of the ball, we integrate the acceleration
vx = v0x = v0cos30 = 103.92
vy = -gt + v0y = -32.8t + v0sin40 = -32.8t + 60
To get the positioning, we integrate the speed.
x = v0cos30t + x0 = 103.92t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + 60t + 4
If the ball clears the fence, it means x = 0, y > 30
x = 0 -> 103.92 t - 350 = 0 -> t = 3.36 seconds
for t = 3.36s,
y = -16.4(3.36)^2 + 60*(3.36) + 4
= 20.45 ft
which is less than 30ft, so it means that the ball will NOT clear the fence.
Just for fun, let's check what the speed should have been :)
x = v0cos30t + x0 = v0cos30t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + v0sin30t + 4
x = 0 -> v0t = 350/cos30
y = 30 ->
-16.4t^2 + v0t(sin30) + 4 = 30
-16.4t^2 + 350sin30/cos30 = 26
t^2 = (26 - 350tan30)/-16.4
t = 3.2s
v0t = 350/cos30 -> v0 = 350/tcos30 = 123.34 ft/s
So he needed to hit the ball at at least 123.34 ft/s to clear the fence.
You're welcome, Thanks please :)
</span>
The absolute value of a number is however many places a number is away from 0 on a number line.
a. |-15| + |-26|
15 + 26
41
b. -|-40|
-40
c. |0.5| + |-1 1/2|
0.5 + 1 1/2
0.5 = 1/2
1/2 + 1 1/2
2
Answer:
The hawk reaches the rabbit at t=4.3 sec
Step-by-step explanation:
Let
h ----> is the height in feet
t ----> is the time in seconds
v ---> the initial velocity in feet pr second
s ----- is the starting height
we have
when the hawk reaches the rabbit the value of h is equal to zero
we have
substitute
Solve the quadratic equation by graphing
The solution is t=4.3 sec
see the attached figure
