All categories

3 years ago

Speed, Velocity or Acceleration?

SAT

1 answer:

levacccp [35]3 years ago

7 0

Answer:

Velocity

Explanation:

Speed is how fast something moves.

Velocity is how fast it moves and in what direction it moves in.

Acceleration is the change in how fast it moves. I.e. if it speed up or slows down.

Here we are given the speed of the train (75mph) and the direction (north), therefore it is velocity.

Hope this helped!

You might be interested in

Given the function f(x) = 3(x – 2)2 + 4 with a restricted domain of x ≥ 2, which of the following represents f–1(x)?.

Debora [2.8K]

The inverse of the function is $f^{-1}x= \sqrt{\frac{x-4}{3} } + 2$

<h3 /><h3>Domain and Range of functions</h3>

Given the function

$f(x) = 3(x - 2)^2 + 4$

To get the inverse, you will follow the same step as shown:

Rewrite the equation to have:

$y= 3(x - 2)^2 + 4$

Replace x with y

$x = 3(y - 2)^2 + 4$

<h3>Make y the subject of the formula</h3>

$x = 3(y - 2)^2 + 4\\x-4=3(y - 2)^2\\\frac{x-4}{3} = (y-2)^2\\ y-2=\sqrt{\frac{x-4}{3} } \\y = \sqrt{\frac{x-4}{3} } + 2$

Hence the inverse of the function is $f^{-1}x= \sqrt{\frac{x-4}{3} } + 2$

Learn more on inverse of a function here: brainly.com/question/2873333

6 0

2 years ago

Lydia graphed δlmn at the coordinates l (0, 0), m (2, 2), and n (2, −1). She thinks δlmn is a right triangle. Is lydia's asserti

nadya68 [22]

No product results in -1, hence δlmn is NOT a right triangle showing that lydia's assertion is incorrect

<h3>Perpendicular lines</h3>

In order to determine whether triangle lmn is right-angled, we need to determine the slope of lm, ln, and mn first as shown:

For the slope of lm:

$m_{lm} = \frac{2-0}{2-0}\\ m_{lm} =2/2\\m_{lm} =1$

For the slope of ln:

$m_{ln} = \frac{-1-0}{2-0}\\m_{ln} =-1/2\\$

For the slope of mn:

$m_{mn} = \frac{-1-2}{2-2}\\m_{ln} =-3/0 = \infty\\$

If any of the two lines is perpendicular, hence the triangle lmn is right-angled.

To check, we will take the product of the slopes and see if it is equivalent to -1.

Product of slope lm and ln

$m_{lm}\times m_{ln} = 1 \times -1/2\\m_{lm}\times m_{ln} = -1/2$

Since no product results in -1, hence δlmn is NOT a right triangle showing that Lydia's assertion is incorrect

Learn more on slopes here: brainly.com/question/3493733

8 0

2 years ago

Read 2 more answers

In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F

patriot [66]

Answer:

sinF = 3 /5 or 0.6.

Explanation:

Triangle ABC is a right triangle with its right angle at B. Therefore, AC is the hypotenuse of right triangle ABC, and AB and BC are the legs of right triangle ABC. According to the Pythagorean theorem,

AB=√202−162=√400−256=√144=12

Since triangle DEF is similar to triangle ABC, with vertex F corresponding to vertex C, the measure of angle∠F equals the measure of angle∠C. Therefore, sinF=sinC. From the side lengths of triangle ABC,

sinF = oppositeside /hypotenuse = AB /AC = 12/ 20 = 3 /5

5 0

3 years ago

Given the following two functions. Qa=50+p. Qb=200-4p. (A) IDENTIFY WHICH IS THE SUPPLY FUNCTION OF DEMAND FUNCTION

morpeh [17]

(A) The supply function generally is considered to have positive slope. Qa has positive slope. Qb has negative slope, so is probably the demand function.
supply function: Qa
demand function: Qb

(B) The equilibrium price is the price that makes supply equal to demand.
Qa = Qb
50 +p = 200 -4p
5p = 150
p = 30
The equilibrium price is 30.

(C) The price elasticity of supply is computed as
Es = (dQa/dp)·(P/Qa) = 1·p/(50+p)
Es = p/(50+p)

At p=30, the numerical value is Es = 30/80 = 3/8. Qualitatively, the supply is inelastic.

7 0

3 years ago

Worth 6 points)

Illusion [34]

Number smart because she attempts to find scientific reasoning

8 0

2 years ago

Read 2 more answers