Answer:

Step-by-step explanation:
Given that Lincoln has
pennies and
nickles and that his total worth is $0,
we can express his total using the inequality:

Where the sum of n and p is his total
Hence, Lincoln's situation is expressed as p+n=0
Answer:
The ratio of the area of triangle XBY to the area of triangle ABC is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its areas is equal to the scale factor squared
In this problem
Triangles XBY and ABC are similar, because the corresponding internal angles are congruent
see the attached figure to better understand the problem
step 1
Find the scale factor
Let
z-------> the scale factor

we have


substitute

step 2
Find the ratio of the area of triangle XBY to the area of triangle ABC
Remember that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
we have
-----> scale factor
so

Find the general solution by separating the variables then integrating:
dy / dx = cosx℮^(y + sinx)
dy / dx = cosx℮ʸ℮^(sinx)
℮^(-y) dy = cosx℮^(sinx) dx
∫ ℮^(-y) dy = ∫ cosx℮^(sinx) dx
-℮^(-y) = ℮^(sinx) + C
℮^(-y) = C - ℮^(sinx)
-y = ln[C - ℮^(sinx)]
y = -ln[C - ℮^(sinx)]
Find the particular solution by solving for the constant:
When x = 0, y = 0
-ln(C - 1) = 0
ln(C - 1) = 0
C - 1 = 1
C = 2
<span>y = -ln[2 - ℮^(sinx)]
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Answer:
D. 4, B. 4, C. 8
Step-by-step explanation:
The data are centered around 4; the plot is pretty evenly spread out around the center, 4 miles. (The actual average is 3.88.)
The most number of miles run (look for tallest column of dots) is 4.
The number of people who ran is 8 (count the dots above the 5-mile label).