Answer:
Angle = Ф = (0) = 0
Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.
Step-by-step explanation:
Given vector r(t) =
As we know that,
velocity vector = v =
Implies that
velocity vector =
As acceleration is velocity over time so:
acceleration vector = a =
Implies that
vector a =
vector a =
Now scalar product of position vector r and acceleration vector a:
r. a =
r.a =
r.a = 0
Now, for angle between position vector r and acceleration vector a is given by:
cosФ = =
Ф = (0) = 0
Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.
Answer: Answer is in the steps read carefully.
Step-by-step explanation:
does not represent a rational number because the square root of 6 is not a perfect square.
This represents a rational number because the square root of 64 is a perfect square which is 8 and if added to a fraction you will get a rational number.
represents a rational number because they are both a perfect square. The square root of 16 is 4 and the square root of 169 is 13.
represents a rational number because since 17.43 repeating can be expressed as a fraction, and the square root of 49 is a perfect square, if added together they will generate a rational number.
Does not represents a rational number because the square root of 44 is not a perfect square and when you add an irrational number and an rational number then you will get an irrational number.
Answer: $47.28
Step-by-step explanation:
There are 126 inches of fabric.
You need to convert this to yard as that is the pricing unit.
1 yard = 36 inches
126 inches is:
= 126/32
= 3.94 yards
Cost is $12 per yard so Henry pays:
= 12 * 3.94
= $47.28
Answer:
the answer is B
f(x)=-2x+3
Step-by-step explanation:
to get the -2x I did --->
pick two points I used (0,3) and (1,1) and used the equation
where y2 would be 1 and y1 would be 3
and where x2 would be 1 and x1 would be 0
so you would put the numbers in the equation which would look like and equal -2 which would be -2x in the answer
And the +3 is the y-intercept
Answer: B) 0 ≤ y < infinity