An equation that passes through the coordinates (3, -1) and has a slope of 2 would be y=2x-7 because since the slope is positive and is 2/1 the slope rises by 2 and runs 1 to right and eventually passes (3, -1) when it starts at -7 on the y-intercept. Answer: y=2x-7
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Answer:
<h2> 934boxes</h2><h2> 4 trips</h2>
Step-by-step explanation:
Given the total number of books 42,000
Ok, firstly let us calculate the number of boxes required, given that a box can contain 45 books
number of boxes= 42,000/45
number of boxes=933.3 boxes
approximately 934boxes
Also, given that the truck can carry online 250 boxes in one trip
then it must make 934/250= 3.7 trips
approximately the truck will make 4 trips to carry all the boxes
Answer:Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Step-by-step explanation:
Answer: First option.
Step-by-step explanation:
You know that the following function model the height "h" of the ball (in feet) after a time "t" (in seconds):
Notice that it is a Quadratic function, therefore, it is a parabola.
Then, the x-coordinate of its vertex will give you the time in seconds in which the balll reaches its maximum height and the y-coordinate of the vertex will give you the ball's maximum height.
You can find the x-coordinate of the vertex with this formula:
You can identify that:
Substituting values, you get:
FInally, you must substiute this value into the Quadratic function and then evaluate in order to find the ball's maximum height.
This is:
