Answer:
(-2, 18), (0, 10), (2, 2)
Step-by-step explanation:
All you do is plug each coordinate into the equation to confirm the authentication.
I am joyous to assist you anytime.
Answer:
it is correct
Step-by-step explanation:
2000 N
The resistance force acting is 1N per ton.
Tension in the coupling between engine and the wagon is 2000N.
Answer:
Step-by-step explanation:
Graph: f(x) = 1 - ex
You meant f(x) = 1 - e^x, where ^ represents exponentiation.
First, graph the parent function y = e^x. The y-intercept of this graph is (0, 1), and the x-axis is the horizontal intercept. The graph begins on the left in Quadrant 2 and continues upward in Quadrant 1.
Next, reflect this graph in the x-axis, due to the - sign in f(x) = 1 - e^x. The y-intercept is (0, -1) and the horizontal asymptote is the x-axis.
Finally, translate the whole graph upward by 1 unit.
Answer:
14800
Step-by-step explanation:
The formula for simple interest (I) in terms of principal (P), rate (R) and time (T) is given as follows;
I = P x R x T / 100 ------------- (i)
Given:
Principal (P) = Initial amount being put into the account = 10000
Rate (R) = The interest rate being offered by the account manager = 4%
Time (T) = Time taken = 12 years
Substitute these values into equation (i) as follows:
I = 10000 x 4 x 12 / 100
I = 4800
Therefore, the initial amount will yield an interest of 4800 for those 12 years.
The total amount the employee will thus have in 12 years will be the sum of the initial amount and the interest. i.e
Amount = P + I
Amount = 10000 + 4800
Amount = 14800
Answer: The probability is 0.5136.
To find this probability we have to find the range of the values on the normal distribution table.
First, we need to find the percent for each making z-score.
Lower end: 50/24 = 2.08 = 0.0183
Upper end: 2/24 = 0.08 = 0.5319
Now, that we have the upper and lower ends, we can subtract them to find the difference or the range.
0.5319 - 0.0183 = 0.5136
There is a 51.36% chance they are in the given range.
