Answer:
100 miles
Step-by-step explanation:
Relative Speed: 60+40=100 mph
you can think that one train is stationary,another one is 100 mph
so one hour before the train pass each other，the distance is 100 miles
Answer:
yp = -x/8
Step-by-step explanation:
Given the differential equation: y′′−8y′=7x+1,
The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)
First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;
y′′−8y′=0
The auxiliary equation will give us;
m²-8m = 0
m(m-8) = 0
m = 0 and m-8 = 0
m1 = 0 and m2 = 8
Since the value of the roots are real and different, the complementary solution (yc) will give us
yc = Ae^m1x + Be^m2x
yc = Ae^0+Be^8x
yc = A+Be^8x
To get yp we will differentiate yc twice and substitute the answers into the original DE
yp = Ax+B (using the method of undetermined coefficients
y'p = A
y"p = 0
Substituting the differentials into the general DE to get the constants we have;
0-8A = 7x+1
Comparing coefficients
-8A = 1
A = -1/8
B = 0
yp = -1/8x+0
yp = -x/8 (particular integral)
y = yc+yp
y = A+Be^8x-x/8
Answer:
.081 hours per dollar
$12.333 dollars per hour
Step-by-step explanation:
I'm a bit confused whether you just want hours per dollar or also dollars per hour, so I'll answer both.
First, for the dollars per hour, you want to do 74 divided by 6 equals 12 1/3. So each hour you get paid $12.333
Fort the hours per dollar, you do 6 divided by 74 equals .081.
Answer:
32 days.
Step-by-step explanation:
56 / 1.75 = 56 / (7/4) = 56 * 4 / 7 = 32.
Answer:
b. the ranges of penguin heights are the same.
Step-by-step explanation:
Hello!
Statements:
Which statement correctly compares the spreads of the distributions?
a. the mode of penguin heights at county side zoo is greater than the mode at city view zoo.
b. the ranges of penguin heights are the same.
c. the range of penguin heights is greater at city view zoo than at county side zoo.
d. the range of penguin heights is greater at county side zoo than at city view zoo.
The mode and mean are measurements of central tendency, these indicate the position of a data set but don't show any information concerning the distribution of said data.
The range on the other had is a measurement of variance, it shows the difference between the maximum and minimum values of the data set and indicates its total dispersion.
City view Zoo R= 44-37= 7 cm
County side Zoo: R= 45-38= 7 cm
Both ranges are the same.
I hope this helps!
