Answer:
1 cup = 48 teaspoons
C = 48t
Step-by-step explanation:
Given:
1 tablespoon = 3 teaspoons
1 cup = 16 tablespoon
Write an equation that represents the number of teaspoons, t, contained in a cup, C.
Since
1 tablespoon = 3 teaspoons
And
1 cup = 16 tablespoon
Then
1 cup = 3 teaspoons × 16
1 cup = 48 teaspoons
Let
cup = C
Teaspoons = t
Therefore,
C = 48t
Answer:

Step-by-step explanation:
Circumference of the column 
Circumference of a circle
Therefore:

Area of a Circle 
Since radius of the cross section of the column =9 meters
Area of the cross section of the column

Answer:
y2 = C1xe^(4x)
Step-by-step explanation:
Given that y1 = e^(4x) is a solution to the differential equation
y'' - 8y' + 16y = 0
We want to find the second solution y2 of the equation using the method of reduction of order.
Let
y2 = uy1
Because y2 is a solution to the differential equation, it satisfies
y2'' - 8y2' + 16y2 = 0
y2 = ue^(4x)
y2' = u'e^(4x) + 4ue^(4x)
y2'' = u''e^(4x) + 4u'e^(4x) + 4u'e^(4x) + 16ue^(4x)
= u''e^(4x) + 8u'e^(4x) + 16ue^(4x)
Using these,
y2'' - 8y2' + 16y2 =
[u''e^(4x) + 8u'e^(4x) + 16ue^(4x)] - 8[u'e^(4x) + 4ue^(4x)] + 16ue^(4x) = 0
u''e^(4x) = 0
Let w = u', then w' = u''
w'e^(4x) = 0
w' = 0
Integrating this, we have
w = C1
But w = u'
u' = C1
Integrating again, we have
u = C1x
But y2 = ue^(4x)
y2 = C1xe^(4x)
And this is the second solution
Answer:
(1, 2, 3, 4) matches (A, C, B, D)
Step-by-step explanation:
The additive inverse of a term is formed by changing the sign. The additive inverse of the polynomial is formed by changing the sign of every term.
If we call the expressions on the left (top-to-bottom) 1, 2, 3, 4, and those on the right A, B, C, D, then the match-up <em>in this presentation of the question</em> is ...
1 - A
2 - C
3 - B
4 - D
_____
YMMV if the expressions are mixed differently
If it takes 125 gallons to go 5034 miles, then to find how far 1 gallon goes, we divide 5034/125=40.272 miles. Therefore your answer is 40.272miles a gallon