Answer:
The number of possible chip dip combinations = 5040
Step-by-step explanation:
There are 7 different kinds of chip dip available
The number of chip dip combinations available = 7! combinations
n! = n*(n-1)*(n-2)*........*1
7! = 7 * 6 * 5 * 4* 3 * 2* 1 = 5040
The number of possible chip dip combinations = 5040
4
x
+
5
y
=
15
4
x
+
5
y
=
15
Solve for
y
y
.
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y
=
3
−
4
x
5
y
=
3
-
4
x
5
Rewrite in slope-intercept form.
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y
=
−
4
5
x
+
3
y
=
-
4
5
x
+
3
Use the slope-intercept form to find the slope and y-intercept.
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Slope:
−
4
5
-
4
5
y-intercept:
3
3
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
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x
y
0
3
1
11
5
x y 0 3 1
11
5
Graph the line using the slope and the y-intercept, or the points.
Slope:
−
4
5
-
4
5
y-intercept:
3
3
x
y
0
3
1
11
5
x y 0 3 1
11
5
image of graph
Answer:
0.73 yrs
Step-by-step explanation:
if t is time in years
quarterly
600 = 200(1 + 0.06625/4)^4t
3 = (1 + 0.06625/4)^4t
ln3 = 4tln(1. + 06625/4)
t = ln3 / (4ln1.0165625)
t = 16.7198 yrs
continuously
600 = 200e^(0.06875t)
3 = e^(0.06875t)
ln3 = 0.06875t
t = ln3 / 0.06875
t = 15.9798 years
Δt = 16.7198 - 15.9798 = 0.73 yrs
Answer:
The total weight change for the eight women was -24.
Step-by-step explanation:
In order to find the answer, you have to consider that average is calculated by dividing the total weight change by the number of women and you know that the average was they lost 3 pounds and there were 8 women:
Average= total weight change/number of women
-3=total weight change/8
total weight change=-3*8
total weight change=-24
According to this, the answer is that the total weight change for the eight women was -24.
Answer:
36
Step-by-step explanation:
There are 6 possible outcomes on a single fair dice and there are two dice: 6 × 6 = 36. Hope this helps!