Answer:
-32
Step-by-step explanation:
i took the test
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
Answer:
a) y = 10x +500
b) $500
c) $15 for 100; $10.50 for 1000
Step-by-step explanation:
<h3>a)</h3>
We assume the given "cost per unit" is the variable cost per unit. The total cost (y) for x units, given some fixed cost (b), is ...
y = 10x +b
For 100 units, this is ...
1500 = 10(100) +b
500 = b . . . . . . . . subtract 1000
The cost function rule is ...
y = 10x +500
__
<h3>b)</h3>
The fixed cost is the cost of producing 0 units:
y = 10(0) +500
y = 500 . . . . . . . the fixed cost in dollars
__
<h3>c)</h3>
The average cost (ac) of producing n units is the total cost divided by n:
ac(n) = (10n +500)/n = 10 +500/n
The average cost for 100 units is
ac(100) = 10 +500/100 = 15 . . . average dollar cost for 100 units
The average cost for 1000 units is ...
ac(1000) = 10 +500/1000 = 10.50 . . . average dollar cost for 1000 units
I'm not entirely sure about some of these because there could be multiple answers, i think. i'll just leave the ones i can't help you with blank.
1) Begin to (isolate) the (variable) by eliminating the (constant). To eliminate the constant, you want to make it (cancel?) because ___+___=___)
2) (Balance) your equation by doing the exact same thing in the opisite side of the (equal sign).
3) Finish (isolating) the (variable) by eliminating the (coefficient). To eliminate the coefficient, you want to make it (cancel?) because ___x___=___,
4) (Balance) your equation by doing the exact same thing on the opposite side of the (equal sign).
5) Check your answer by (plugging) it in or the _____.
honestly, i find it really amusing that they found a way to break a TWO-step equation into 5 steps ?? but i hope this helps a little!!
