The equation would be: C = 5.5T, where C is the Cost and T is the number of tubes.
If you divide all of the outputs by the inputs, you will get 5.5. That means it's a proportional relationship. Just multiply the number of tubes by 5.5 and you will have your cost.
A. True. There are 52 cards total and you only pick 5. Order doesn't matter.
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B. False. Order doesn't matter so you use a combination (instead of a permutation) as choice A shows.
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C. False. The answer is roughly 0.000858 as shown by the calculation below
(13/52)*(12/51)*(13/50)*(12/49)*(11/48) = 0.000858
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D. False. See calculation below
(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
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E. True. See calculation below
(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
this value rounds to roughly 0.0005
We can solve this problem by correctly analyzing the location
of the points.
If the center of rotation is a point outside the triangle,
then this would mean that there would be quadrant shift (revolution) of the
whole triangle itself. Hence this would mean that the resulting triangle will
not touch the pre-image at any point at all.
If the center of rotation is a point on the perimeter of
the triangle, this would also result in a quadrant shift (revolution) or
movement of the triangle.
Now if the center of rotation is a point inside the
triangle, then this would be a simple rotation on its own quadrant hence the
resulting image will touch the pre-image at more than one point. Hence the
correct points are:
<span>point D and point E</span>
Answer:
Step-by-step explanation:
The expression is
x^2 - 4
This is a quadratic expression.
To find the solution, we will equate the the expression to zero. It becomes
x^2 - 4 = 0
Add 4 to the left hand side of the equation and the right hand side of the equation. It becomes.
x^2 - 4 + 4 = 0 + 4
x^2 = 4
Take square root of the right hand side of the equation and left hand side of the equation. It becomes
√x^2 = √4
x = ± 2
x = 2 or x = - 2
Answer:
215 sections of 27 meters of rope will be created and 9 meters will be left as waste
Step-by-step explanation:
A rope that is 5814 meters long needs to be cut into 27 sections
The number of 27 meter sections of rope that can be created can be calculated by dividing 5814 by 27
= 5814/27
= 215 remainder 9
Hence 215 sections of rope will be created and 9 meters of rope will be left as waste
