Answer: 52m cards
Step-by-step explanation:
First part of question says: Karen has m decks of cards.
If Karen has m deck of cards and each deck has 52 cards in it, the total number of cards that all that Karen will have will be 52 multiplied by the number of deck of cards Karen has:
= 52 * m
= 52m
Answer:
1. y=-x
2. y=-3/2x-2
3. x=4
4. y=-2x-1
Step-by-step explanation:
slope intercept form is y=mx+b with mx being the slope and b being the y intercept
if its parallel it has to have the same slope.
perpendicular lines have the opposite slope and sign. so if its a whole number you put it over 1 and if its a fraction you switch the values in the numerator and denominator in addition to changing the sign. You keep the y intercept the same.
Answer:
The slope is $0.35/min and it gives the cost per minute of the phone used.
Step-by-step explanation:
We can model this situation with a linear equation of the form
where 
is monthly cost, 
is the number of minutes, 
is the flat monthly fee, and 
is the slope of the equation, or in our case, the amount of money charged per minute.
The slope is
,
in other words, the phone company charges $0.5 per minute.
With the slope in hand, the linear equation becomes
,
and we can find the monthly fee from that fact that for 300 minutes the cost is $131:
.
Therefore,
where the slope if the equation give the cost per minute of the phone used.
Answer:
5817 Newtons.
Step-by-step explanation:
Total mass of the cage + the miners = 700 Kg which is a downward force of 700g N.
The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.
We calculate the acceleration of the cage by using an equation of motion:
Distance = ut + 1/2 a t^2 where u = initial velocity , t = time and a = acceleration:
75 = 0(t) + 1/2 a (10^2)
50a = 75
a = 1.5 m s-2.
So using Newtons second law of motion
Force = mass * acceleration:
700*9.81 - T = 700 * 1.5
T = 700 * 9.81 - 700*1.5
= 5817 N.
Answer:
Step-by-step explanation:
acceleration, a = 20 m/s^2
initial velocity, u = 0 since it starts from rest
final velocity, v = 400 m/s
v = u + at
400 = 0 + 20 t
400 = 20 t
t = 400 / 20
<u><em>t = 20 sec</em></u>
Hope this helps
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