Answer:
1.59 m/s²
Step-by-step explanation:
Acceleration = change in Velocity over time. Mathematically it is represented as Δv/Δt
Given values in the question:
- Final velocity 203.0 km/h which is equal to (203/3.6)m/s = 56.39 m/s
- distance 2000 m
- Initial velocity is 0 m/s
<em>To use the equation for acceleration time is needed.</em>
<em>velocity= distance/time</em>
(203/3.6) = 2000/time <em>mltiplying both sides by time</em>
(203/3.6) x time = 2000 <em>making time subject of the formula</em>
time = 2000/(203/3.6)
time = 35.47 seconds
Substituting into the acceleration equation
acceleration =Δv/Δt
=(56.39- 0)/35.47
= 56.39/35.47
=1.59 m/s²
Simple Pythagorean theorem, And if you double check Tamara's work she is correct. Therefor B is the correct answer.
Answer:
B
Step-by-step explanation:
1. In order to determine the inequality, you must first solve the solution set to determine what x is less than.
So you would do this:
1 + 2x < 9 Subtract 1
2x < 8 Divide by 2
x < 4
2. Next, you need to understand the difference between an open circle and a closed circle shown on the solution sets.
An open circle is equal to the following inequalities:
<, >
A Closed circle represents inequalities in situations such as:
greater than or equal to, or less than or equal to
3. Because the inequality above represents only less than or greater than the inequality sets should have an open circle being used.
Since x is less than 4 it should be moving to the left of the line inequality set.
9514 1404 393
Answer:
f(x) = 6x +1
Step-by-step explanation:
Differences in x-values (first row) are 1, 1, 1.
Differences in y-values (second row) are 6, 6, 6.
The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.
Using the first point in the form ...
y = mx + b
we have ...
y = 6x + b
7 = 6·1 + b . . . . (x, y) = (1, 7)
1 = b . . . . . . subtract 6
Then the equation can be written ...
y = 6x +1
In functional form, this is ...
f(x) = 6x +1
