Answer:
44410
Step-by-step explanation:
Answer:
44.1m
Step-by-step explanation:
we are given a quadratic function which represents the height and time of a baseball

we want to figure out maximum height of
the baseball
since the given function is a quadratic function so we have a parabola
which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)
to do so we can use some special formulas
recall that,


notice that, our given function is not in standard form i.e

let's make it so

therefore we got
our <em>a</em> is -4.9 and <em>b </em>is 29.4
so substitute:

remove parentheses and change its sign:

simplify multiplication:

simplify division:

so we have figured out the time when the baseball will reach the maximum height
now we have to figure out the height
to do so
substitute the got value of time to our given function

simplify square:

simplify mutilation:

simplify substraction:

hence,
the maximum height of the baseball is 44.1 metres
Answer:
Step-by-step explanation:
<u>Simplify:</u>
- √5(√8 + √18) =
- √5*8 + √5*18 =
- √40 + √90 =
- √4*10 + √9*10 =
- 2√10 + 3√10 =
- (2 + 3)√10 =
- 5√10
<u>The value of a:</u>
The probability of randomly picking out a red marble is 50%, or 1/2.
You can figure this out by finding out the percentage of each marble in the bag, and that percentage would be the probability for picking out that colour of marble. For example, the percentage of red marbles in the bag is 50%, the percentage of blue marbles in the bag is 20%, and the percentage of green marbles in the bag is 30%.
By doing this, you figured out not only the percentage of each colour of marble in the bag, but you also figured out the probability of each marble being randomly picked out of the bag.
8 times because 8 times 8 equals 64