Answer:
if you want it in standard form it would be −1/4x-1/2x-5/6
If you want it simplified it would be -3x/4-5/6
Step-by-step explanation:
(This is the best you'll get for 5 points)
-100-70+100-30=-100
I included the value of the merchandise that she "purchased", so the owner lost $100 in total value.
Step-by-step explanation:
as the velocity is not constant over time, we actually have to integrate v(t) over the interval 0<=t<=5 to get the distance.
v(t) = 60×ln(t + 1)
V(t) = 60 × integral(ln(t + 1)) between 0 and 5.
integral(ln(t + 1)) = (t + 1)ln(t + 1) - t + C
V(t) = 60 × ((t + 1)ln(t + 1) - t + C)
the distance traveled between t = 0 and t = 5 is then
60 × ((5 + 1)ln(5 + 1) - 5 + C) - 60 × ((0 + 1)ln(0 + 1) - 0 + C) =
= 60×(6ln(6) - 5 + C) - 60×(1ln(1) + C) =
= 60×(5.750556815... + C) - 60×C =
= 60×5.750556815... = 345.0334089... ≈ 345 km
Answer:
Length of the person = 1.9 m
Step-by-step explanation:
Actual length of the lorry = 9.5 m
Length of the lorry as per scale = 10 cm
Scale factor used to get the actual length of the lorry = 
= 
= 0.95 : 1
Let the actual length of the person = x meters
Length of the person as per scale = 2 cm
Scale factor used to get the length of person is same.
Therefore, relation between the actual length of the person and scale length will be,
x = 2 × 0.95
x = 1.9 meters
Answer:
Option a) A line joining points, does not describe the slope.
Step-by-step explanation:
Slope of a line:
- Slope is calculated by finding the ratio of the vertical change to the horizontal change between two distinct points on a line.
- It is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
- Slope of a line is a number that describes both the direction and the steepness of the line.
- Slope gives the constant rate of change or a measure of change between two points.
Hence, from the given options slope is not a line segment joining two points but it is the change in the line segment between two points.
Hence, option a) A line joining points, does not describe the slope.
