12/16, 7/16, 10/16 (not simplified, just with LCD);The LCD of the 3 fractions is 16 (from denominators) so all we have to do is multiply both the numerator by the same number that multiplies with the denominators to get 16. We leave 7/16 alone since it already has denominator of 16.
3/4 * 4 = 12/16
5/8 * 2 = 10/16
The equation of the tangent to the curve at the point corresponding to the given value of the parameter will be x + y = c.
<h3>How to calculate the tangent of the parameter curves at a point?</h3>
The curves are given below.
x = t⁵ + 1 and y = t⁶ + t
Then differentiate the functions with respect to t, then we have
...1
and
...2
Divide equation 2 by equation 1, then we have
Then the slope of the equation at t = −1, then we have
dy/dx = [6(-1)⁵ + 1]/[5(-1)⁴]
dy/dx = (-6+1)/5
dy/dx = -5/5
dy/dx = -1
Then the equation of the tangent line will be
y = -x + c
x + y = c
Where c is a constant.
More about the tangent of the parameter curves at a point link is given below.
brainly.com/question/12648555
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Answer:
c. music subscription service fee
Step-by-step explanation:
A discretionary expense is an expense you (or your family) can life without if it is required. A fixed expense is a period-specif expense, which means is and expense you paid over a fix time.
If you think about, the definition of "fixed, discretionary expense" fits an entertainment subscription perfectly; therefore a music subscription service fee is a fixed, discretionary expense.
Hey there!
If we have 12 squares and one of every 3 is a cork square, that means that 1/3 of the squares are cork. Using our keyword "of" meaning multiplication, we have:
1/3 * 12 = 12/3 = 4 cork squares
Hope this helps!
