Answer:
Correct option: third one -> 11.5 m3
Step-by-step explanation:
To find the volume of the ramp, first we need to find the volume of the rectangular prism and the volume of the triangular prism:
V_rectangular = 4m * 2m * 1m = 8 m3
V_triangular = (2m * 3.5m * 1m) / 2 = 3.5 m3
Now, to find the volume of the ramp, we just need to sum both volumes:
V_total = V_rectangular + V_triangular = 8 + 3.5 = 11.5 m3
Correct option: third one.
<span>Using the kinematic equations:
(final velocity)^2 = (initial velocity)^2 - 2 * acceleration * distance
Assuming the acceleration/deceleration on the car is constant from a constant force on the brakes. Converting from mph to m/s using 0.447 (so 34 mph is 15.2 m/s)
(0)^2 = (15.2)^2 - 2 * acceleration * 29
acceleration = 4.0 m/s^2
Had the car been going 105.4 mph (47.1 m/s)
(0)^2 = (47.1)^2 - 2 * 4 * distance
distance = 277 meters</span>
Answer:
The open interval of convergence is 1
Step-by-step explanation:
The detailed explanation is given in the attached document.
Answer:
Reasonable estimation for constant of variation is 0.25 kWh per day.
Step-by-step explanation:
We are given the following information in the question:
- The graph represents the function where electricity usage.
- Electricity usage in kilowatts per hour of a clock radio varies directly with the number of days.
- The x-axis shows the number of days and usage in kilo-watt per hour is showed on the y-axis.
- Some coordinates of the graph are: (0,0), (2,0.5) and (6,1.5)
Formula for constant of variation:
Putting the values from the coordinates (2,0.5) and (6,1.5), we get:
Hence, reasonable estimation for constant of variation is 0.25 kWh per day.
Answer:
We can infer a cause-and-effect relationship because multiple variables were included.
Step-by-step explanation:
The multiple attributes for the divorced ones are
1) less physically active
2) an unhealthy weight,
3) smokers.
The attribute showing the % of the married is
1) death
So when we compare the two groups married and divorced we see different variables are involved in evaluating the percentage.
This shows a cause and effect involving multiple variables.
In cause and effect one variable is dependent and the other is independent.
The cause is the independent variable and effect is the dependent variable.
CAUSE EFFECT
Married Death
Divorced 1) less physically active
2) an unhealthy weight,
3) smokers.
