Answer:2.88 m/s
Step-by-step explanation:
Given
radius of circle r=0.85 m
At highest Point weight will Provide the centripetal Force
thus
where m is the mass of water in bucket
Answer:
<h2>a. The system of linear inequalities is
and
.</h2><h2>b. The solution is given in the figure.</h2><h2>c. The given scenario can happen.</h2>
Step-by-step explanation:
Let, I will buy x pounds Blueberries and y pounds Strawberries.
I need to collect at least 3 pounds of fruits.
Hence, .
It also given that I can not spend more than $21, that is .
If I will buy 4 pound Blueberries and 1 pound Strawberry, then x = 4 and y = 1.
Now, 4 + 1 = 5 > 3. First inequality is satisfied.
, Second inequality is also satisfied.
Answer:
x = 9.
Step-by-step explanation:
42 - 15 = 27
27 ÷ 3 = 9
9514 1404 393
Answer:
- relative maximum: -4
- relative (and absolute) minimum: -5
Step-by-step explanation:
The curve has a relative maximum where values on either side are lower. This looks like a peak in the curve. There is one of those on the y-axis at y = -4.
The relative maximum is -4.
__
A relative minimum is a low point, where the curve is higher on either side. There are two of these, located symmetrically about the y-axis. The minimum appears to be about y = -5. (They might be at x = ± 1, but it is hard to tell.)
The relative minima are -5.
__
A minimum or maximum is absolute if no part of the curve is lower or higher. Here, the minima are absolute, while the maximum is only relative. (The left and right branches of the curve go higher than y=-4.)
_____
Identifying the points on the curve should be the easy part. Deciding what the coordinates are can be harder when the graph is like this one.
Answer:
6554
Step-by-step explanation:
The sequence 2, -8, 32, -128 has a first term (a1) of 2 and a common ratio (r) of -8/2 = -4. The sum of n terms is given by ...
Sn = a1·(r^n -1)/(r -1)
For your sequence, the sum of 7 terms is ...
S7 = 2·((-4)^7 -1)/(-4-1) = 2(-16384/-5) = 6554
The sum of changes after the 7th day is 6554.
