Answer:
a)
A to B 5 routes and B to C 4 routes
<u>Total options:</u>
b)
A to C, 20 ways as above calculation.
C to A, 20 ways as well.
<u>Total options:</u>
c)
A to C, 20 ways
<u>Return to A with different ways:</u>
- (5 - 1)(4 - 1) = 4*3 = 12
<u>Total options:</u>
Answer:
0.25feet
Step-by-step explanation:
The equation is not well written. Let the equation of the height be modelled as;
h = -16d²+8d+4
The velocity of the ball is zero at its maximum height.
Velocity = change in displacement/time
v = dh/dd
Differentiate
v = -32d+8
Since dh/dd = v = 0
0 = -32d+8
Add 32d to both sides
0+32d = 8
32d = 8
Divide both sides by 32
32d/32 = 8/32
d = 1/4
d = 0.25feet
Hence the maximum height of the tennis ball is 0.25feet
Note that the modeled equation was assumed. You can apply the same calculation to any equation given
Answer:
5/18
Step-by-step explanation:
on khan academy thank me plzzzzzzz
Answer:
-12
Step-by-step explanation:
The given expression is

We have to rewrite the given function in the form of
....(i)
then we have to find the product of a,b and c.
The given expression can be rewritten as

Using properties of exponents we get
![[\because \sqrt[n]{a}=a^{\frac{1}{n}}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%5D)
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
...(ii)
On comparing (i) and (ii), we get

Product of a,b and c is

Therefore, the product of a,b, and c is -12.
Answer:
14 lb 13 oz
Step-by-step explanation:
There are 16 oz in one pound. Divide 237 with 16
237/16 = 14 13/16
237 oz = 14 lb 13 oz
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