Answer:
if 
is divided by 
, the remainder is -9
Step-by-step explanation:
We need to find the remainder if is divided by
Dividing by
The division is shown in figure attached.
The remainder = -9
The quotient = x+3
So, if is divided by , the remainder is -9
Answer:
f(x)=xy3 -4xy2 -7x+10
Step-by-step explanation:
the xy3 and xy2 means x to the 3rd power and x to the second power
So you ave a 3 out of 10 chance to get a letter in eh word DIG then you have a 1 in 2 chance of drawing an odd number add those together.
13 out of 30 chance
Simplify if necessary, hope this helps
The sum of all the even integers between 99 and 301 is 20200
To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.
In this case, the first even integer will be 100 and the last even integer will be 300.
nth term of the AP = first term + (n-1) x common difference
⇒ 300 = 100 + (n-1) x 2
Therefore, n = (200 + 2 )/2 = 101
That is, there are 101 even integers between 99 and 301.
Sum of the 'n' terms in an AP = n/2 ( first term + last term)
= 101/2 (300+100)
= 20200
Thus sum of all the even integers between 99 and 301 = 20200
Learn more about arithmetic progressions at brainly.com/question/24592110
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Answer:
The paint will not fill the tray by 10.53 cubic inches.
Step-by-step explanation:
We will find the volume of the paint tray and compare it with the volume of the gallon.
Given dimensions are:
Length = 14 inches
Width = 10 inches
Depth = 4 cm or 
inches
The volume is given by = length x width x depth
Volume = 
cubic inches
Volume of 1 gallon is given as = 231 cubic inches
We can see that volume of 1 gallon is more than volume of tray.
Difference = 
cubic inches.
So, the paint will not fill the tray by 10.53 cubic inches.
