Answer:
B
Step-by-step explanation:
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Hope this helps!
Answer:
Step-by-step explanation:
Given that
Slope m=-3
A point (x, y)=(4,-2)
Equation of a line can generally be written as
y=mx+c
Where, m is the slope
And c is the intercept on y-axis
Since we are given m=-3
Then, y=mx+c becomes
y=-3x+c
To get c, let substitute the point given, i.e x=4 and y=-2
y=-3x+c
-2=-3(4)+c
-2=-12+c
-2+12=c
c=-2+12
c=10
y=mx+c, then m=-3 and c=10
Then, the equation the line becomes y = -3x + 10
This is the required line equation
Answer:
Step-by-step explanation:
Eek! Let's give this a go. Things we know:
acceleration of Bond in free fall is -9.8 m/s/s
velocity of the truck is 25 m/s
displacement Bond will travel when he jumps is -10 m
What we are looking for is the time it will take him to hit the top of the truck, knowing that the truck can travel from one pole to the next in 1 second.
Our displacement equation is
Δx = v₀t + 1/2at²
Filling in we have

Simplifying we get

This is a quadratic that needs to be solved however you personally solve quadratics. When you do that, you find that the times it will take Bond to drop that displacement is either -.37 seconds or 5.47 seconds. Many things in physics can be negative, like velocity and acceleration, but time NEVER will be. So it takes Bond 5.5 seconds to drop to the roof of the moving truck. That means that he needs to jump when the truck is between the 5th and the 6th poles away from him.
Good luck with this!
Cheers!
Compound interest
P(1+rate/100)^years
However, this questions would be easier using simple interest with calculations here.
First year — $35000x102% = $35700
Second year — $35700x102% = $36414
Third year — $36414x102% = $37142.28
Note : don’t include the dollar sign.
Answer:
4.71 minutes
Step-by-step explanation:
Incomplete question [See comment for complete question]
Given
Shape: Cone
-- radius
--- height

Required
Time to pass out all liquid
First, calculate the volume of the cone.
This is calculated as:

This gives:



To calculate the time, we make use of the following rate formula.

Make Time the subject

This gives:


Cancel out the units

