Answer:
2.9 mi
Step-by-step explanation:
The time difference t between 12.30pm and 3.30pm is 3h.
Let the distance to Marat's house be s.
The equation to calculate velocity v is given by:
v = distance / time.
Now you can write an equation for the time difference t and use the two velocities and the 90 min(= 1.5h) she stays:
3 = s/12 + 1.5 + s/2.3
Solve this equation for s:
(1/12 + 10/23)* s = 1.5
s = 2.9
Answer:
1584/7 in² ≈ 226.3 in²
Step-by-step explanation:
Given,
- Radius R = 3 in
- Height H = 8 in
- Volume V = ?
We know that,
Volume(Cylinder) = πr²h
Substitute values,
Taking π as 22/7
- 72*22/7
- 1584/7 ≈ 226.3 in²
The <em>correct answers</em> are:
C) No: we would need to know if the vertex is a minimum or a maximum; and
C)( 0.25, 5.875).
Explanation:
The domain of any quadratic function is all real numbers.
The range, however, would depend on whether the quadratic was open upward or downward. If the vertex is a maximum, then the quadratic opens down and the range is all values of y less than or equal to the y-coordinate of the vertex.
If the vertex is a minimum, then the quadratic opens up and the range is all values of y greater than or equal to the y-coordinate of the vertex.
There is no way to identify from the coordinates of the vertex whether it is a maximum or a minimum, so we cannot tell what the range is.
The graph of the quadratic function is shown in the attachment. Tracing it, the vertex is at approximately (0.25, 0.5875).