Multiply 1.5 times 7. That comes to 10.5 cups per week. Now convert it to quarts. There are 4 cups in one quart, so divide 10.5 by 4. That comes to 2.625 quarts per week. Now convert it to gallons. There are 4 quarts in a gallon, so divide 2.625 by 4. That comes to about 0.7 gallons a week, or 7/10.
Step-by-step explanation:
y= 3×-6
put y = 0
0= 3x- 6
3 X = 6
X=-2
so the point is (2, 0 )
Answer:
Since h(max) is less than 30 ft, it will never reach a height of 30ft
The maximum height it can reach is 11.25ft.
Step-by-step explanation:
Given;
The height equation of the rock;
h = -16t^2 +20t +5
To determine whether it would reach 30 ft, we need to find its maximum height. Which is at;
dh/dt = 0
dh/dt = -32t +20 = 0
At Maximum height.
t = 20/32
We then substitute into the height equation.
h(max) = -16(20/32)^2 + 20(20/32) +5
h(max) = 11.25 ft
Since h(max) is less than 30 ft, it will never reach a height of 30ft
The maximum height it can reach is 11.25ft.
Answer:
32%
Step-by-step explanation:
at least twenty caters long
First, determine
what type of sequence the set of numbers make up. Through simple logic, it is an arithmetic sequence, because one can see by inspection that there is a common difference of 3 (positive 3, just to be a bit more pedantic).
We then use the formula,
where
represents the
term;
a represents the starting term (so the first number in the set of numbers, which in this case is -6);
n is the term number (
1st,
2nd,
3rd term, etc.);
d is the common difference, that is, when you subtract the next term to the previous term – what is that numerical value.
To elaborate a bit more, your
1st term is -6,
2nd
is -3,
3rd is 0, etc.
Also, the formula above is something you just learn, unless you learn to proof this formula, which is something different.
So, here,
, which can be expanded to:
Therefore,