Answer:
x'-5x=0, or x''-25x=0, or x'''-125x=0
Step-by-step explanation:
The function
is infinitely differentiable, so it satisfies a infinite number of differential equations. The required answer depends on your previous part, so I will describe a general procedure to obtain the equations.
Using rules of differentiation, we obtain that
. Differentiate again to obtain,
. Repeating this process,
.
This can repeated infinitely, so it is possible to obtain a differential equation of order n. The key is to differentiate the required number of times and write the equation in terms of x.
If the ratio of model train to real train is 1:3 and the real train is 12 feet then the model train is 3 feet long.
Given that the model train has a scale of 1:3 and the real train is 12 feet tall.
We are required to find the height of the model train.
Ratio shows how many times one number contains another number. A ratio is the relationship in quantity between two things. It expresses quantity of one thing in terms of another.
Ratio of model train to real train is 1 inches :3 inches.
Height of model train=12*1/4
=3 inches
Hence if the ratio of model train to real train is 1:3 and the real train is 12 feet then the model train is 3 feet long.
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Answer:
Option d) bracelets over week
Step-by-step explanation:
We are given the following in the question:
s(t): This function represents the number of bracelets made per hour.
W(h): This function represent the hours per week Margaret spends making bracelets.
We have to find the units of measurement for the composite function s(W(h))
s(W(h))
s(hours per week)
(bracelets per hour(hours per week))\
bracelets per week
Thus, the composite function s(W(h)) tells us about the number of bracelets made by Margaret over week.
Option d) bracelets over week
Answer:
Step-by-step explanation:
By using j, s ,h to represent the number of jerseys,shorts and hats respectively.
System of Equations:
j + s + h = 40
j = s + h
50j + 20s + 15h = 1350
(s + h) + s + h = 40
2s + 2h = 40
s + h = 20
s = 20 – h
50[(20 – h) + h] + 20(20 – h) + 15h = 1350
50(20) + 400 – 20h + 15h = 1350
1400 – 5h = 1350
5h = 50h
h = 10
s = 20 – 10
s = 10
j = 10 + 10
j = 20
20 jerseys, 10 shorts, 10 hats
Answer:
75
Step-by-step explanation:
o find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.