Answer:
answer 1/2
Step-by-step explanation:
y-3=-2(x-4)
y-3=-2x+8
y=-2x+11
y=mx+c
m= slope which is -2
because it perpendicular It became 1/2
<span>So we want to know the volume V of the volleyball if we know the diameter d=8.15 inches and we need to round it to the nearest hundreth. The volume of a volleyball is V=(4/3)r^3*pi, and since 2 radius are equal to the diameter we need to get the radius, so 2r=D and r=D/2 or r=4.075 inches. Now we get the volume after inputting the numbers: V=283.303032 inches^3. Rounded to the nearest hundreth: V=283.30</span>
The question involves the concept & equations associated with projectile motion.
Given:
y₁ = 1130 ft
v₁ = +46 ft/s (note positive sign indicates upwards direction)
t = 6.0 s
g = acceleration due to gravity (assumed constant for simplicity) = -32.2 ft/s²
Of the possible equations of motion, the one we'll find useful is:
y₂ = y₁ + v₁t + 1/2gt²
We can just plug and chug to define the equation of motion:
<u><em>y = (1130 ft) + (46 ft/s)t + 1/2(-32.2 ft/s²)t²</em></u>
<em>(note: if you were to calculate y using t = 6.0 s, you'd find that y = 826.4 ft, instead of 830 ft exactly because of some rounding of g and/or the initial velocity)</em>
Simple,
you have a fixed rate of $25, meaning you get a haircut, it's $25
ANY other service is an extra $15
So, let's make the equation...
y=15x+25
Now, to just get a haircut it's $25.
But, let's say you get a haircut+shampoo
It'd be..
y=15(1)+25
y=$40
Another one..
You get a haircut+shampoo+highlight
y=15(3)+25
y=$70
And so on, and so forth.
Answer: After washing 20 cars together, each team will have raised the same amount in total.
Step-by-step explanation:
Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.
The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. This means that the total amount raised by the volleyball team after washing x cars would be
4x + 24
The wrestling team has raised $84 in the past, and they are making $1 per car today. This means that the total amount raised by the wrestling team after washing x cars would be
x + 84
For both amounts to be equal, the number of cars would be
4x + 24 = x + 84
4x - x = 84 - 24
3x = 60
x = 60/3
x = 20
