Answer:
y=7x+1
Step-by-step explanation:
Linear modeling
Consists of finding a linear equation that represents a situation in real life.
Jenny starts her stamps collection with only 1 stamp.
Then she collects 7 stamps per day.
Let's call
y=total amount of stamps in Jenny's collection
x=number of days
Knowing Jenny collects 7 stamps per day, then in x days, she collects 7x stamps. The total amount can be obtained by adding the first stamp she had. Thus, the model is:
y=7x+1
Answer:
Was it correct??? y=7x+1 is that correct or wrong?
Step-by-step explanation:
The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
A triangle is a three-sided polygon that consists of three edges and three vertices.
The ratio of the lengths of corresponding sides of triangles ABC and DEF.
AB and DE are corresponding sides, so:
AB/DE = (distance between A and B) / (distance between D and E)
= 2.5 / 5
= 0.5
BC and EF are corresponding sides, so:
BC/EF = (distance between B and C) / (distance between E and F)
=1.118 / 2.236
= 0.5
AC and DF are corresponding sides, so:
AC/DF = (distance between A and C) / (distance between D and F)
AC/DF = 2.236 / 4.472
= 0.5
We see that all three ratios are equal to 0.5.
Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
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Answer:
(A) the center of dilation is at (-2,-1)
(E) the scale factor is 2
Find f(g(x))
Answer:
The expression will be 3(2^x) + 5
Step-by-step explanation:
In order to find the new expression, you have to let g(x) be the x :
Answer:
3 multiplied by a variable d and add seven to it
Step-by-step explanation:
3 multiplied by a variable d and add seven to it.
0.4
6%
40%
The work done to lift the coal is 6.8*10^5 ft-lb
Data;
Let the distance (ft) below top of the shaft be represented by x
The weight of the coal to be lifted from mine = 500lb
The work done to lift the coal is
Taking the summation limit
we can take the integration of both sides where x will the range from 0 to 400.
From the calculations above, the work done is 6.8*10^5 ft-lb
Learn more on work done on a lift here;
Answer:
8.2 *10^5 ft lb
Step-by-step explanation:
Wcoal = 800*500 = 400000 = 4*10^5 ft lb
Using a right Riemann sum
The width of the entireregion to be estimated = 400 - 0 = 400
Considering 8 equal subdivisions, then the width of each rectangular division is 400/8 = 50
F(x) = 6(400-y)
Wrope = 50(2100) + 50(1800) + 50(1500) + 50(1200) + 50(900) + 50(600)
+ 50(300) + 50(0) = 420000 = 4.2 * 10^5 ft lb
Note: Riemann sum is an approximation, so may not give a accurate value
work done = Wcoal + Wrope= 4*10^5+ 4.2 * 10^5 = 8.2 *10^5 ft lb