Answer:
t = 25.1seconds
Step-by-step explanation:
X(t)= 16cos75°t
Y(t)= 6 + (Vosin75°t - 16t^2)
Converting 78 yards to feet :
1 yard = 3 feet
78feet =?
78×3=234 feet
Y(t)= number of feet above the ground at t seconds
VoCos75° t = 234
t = 234/(VoCos75°)
At this time,4 = y(234/VoCos75°)
4 = 6 + VoSin75°(234/VoCos75) - 16(234/VoCos75°)^2
Vo= 140.66ft/s
Time,t= 234/(140.66× Cos75°)
t = 25.087seconds
t= 25.1 seconds (1 decimal place)
Answer: The answer is F.
Step-by-step explanation:
1.) The first equation represents how the spiral notebook has 30 more pages than the the memo book, and how subtracting the memo book's pages would result with 30.
2.) The second equation represents how the total number of pages in 3 spiral notebooks plus 5 memo books would result in 810 total pages.
Answer:
y = -4
x = -2
Step-by-step explanation:
Hi there...
y = 2x
y = -x - 6
Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...
2x = -x - 6
add x on both sides...
3x = -6
divide by 3 on both sides...
x = -2
Now, plug in x for y. Here's what I mean...
y = 2x
y = 2 (-2)
y = -4
Hope this helps :)
Alex bought all the string needed for $125.
It costs $18 for the remaining materials to make each puppet.
So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.
And the variable cost is $18.
In this case we can model a Total cost function C(x) for for x number of puppets as below
The total cost to make 50 puppets=$1025
