Answer:
Since length and width are perpendicular, Doubling either one will double the area. So Doubling both will quadruple the area. 2x2 = 4.
This idea works if the dimensions doubled are those that are used to compute area. Like the base and height of a triangle.
More generally, in a polygon, if all the sides are doubled, the area is multiplied by 4. In a circle, Doubling the radius will quadruple the area.
In 3 dimensions, Doubling one dimension will double the VOLUME. Doubling two perpendicular dimensions will quadruple the volume and Doubling 3 perpendicular dimensions will multiply the volume by 2x2x2 or 8.
Step-by-step explanation:
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Answer:
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Answer:
In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.
Step-by-step explanation:
(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3 + (-x)^4
= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4
Answer:
mean=134.3
median=65.5
mode=60
Step-by-step explanation:
Mean is computing by adding the all data values and then divided by number of values
mean=sum of all values/number of values
There are 20 data values.
mean=(88+50+66+60+360+55+500+71+41+350+60+50+250+45+45+125+235+65+60+110)/20
mean=2686/20
mean=134.3
For calculating median we arrange the data in ascending order
41 45 45 50 50 55 60 60 60 65 66 71 88 110 125 235 250 350 360 500
n/2=20/2=10 is an integer
So, the median is the average of n/2 and (n/2)+1 value
The median is average of 10th and 11th value
median=(65+66)/2
median=65.5
Mode is the most repeated value and we see that number of times the values are repeated are
45= 2 times
50= 2 times
60= 3 times
Thus, the most repeated value is 60 and it is the mode of data.
Mode=60
Answer:
Gross pay per days is 5h+8 dollars
Step-by-step explanation:
we are given
total gross pay =35h+56 dollars
total number of days =7
we know that
gross pay per day = ( total gross pay)/(total number of days)
we can plug values
gross pay per day is
we can simplify it