Divide use partial quotients 156 divided by 13
2 answers:
Answer:
At last step, we get remainder as 0 .
Step-by-step explanation:
In this question, we need to divide 156 by 13 using partial quotients . In this method, we keep on dividing dividend by the divisor till the remainder becomes 0 .
Consider step 1.
We know that 13×1=13, we get step 2.
Here in step 2, dividend = 156 , divisor = 13 , quotient = 1, remainder = 2
In step 3, carry down 6 from the dividend, now we have divisor as 13 and dividend as 26
We know that 13×2=26, so we get
( see step 4 )
At last step, we get quotient as 12 and remainder as 0.
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Answer:
19 days
Step-by-step explanation:
Given
--- initial
-- rate
Required
Days when the fish gets to 30
The function is exponential and as such it follows;
Where x represents the number of days and y the number of fishes
Because the fishes decreases;
So, we have:
Express as decimal
In
So, we have:
Divide both sides by 150
Take log of both sides
Apply law of logarithm
Make x the subject
<em>Hence, it takes approximately 19 days</em>
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
