Answer:
Hence the distance between automobile and farmhouse is increase at rate of 33.541 mph.
Step-by-step explanation:
Given:
farmhouse distance from highway is 2 miles
An automobile traveling at 75 mph.
To Find:
Distance between automobile and farmhouse when automobile pass 4 miles way from intersection of highway.(rate miles per hr)
Solution:
The solution is required in rate ,(Refer the attachment)
so using derivative with respect to time
Consider Triangle ABC,
<em>AB=2 miles</em>
<em>x=BC=X km distance from highway intersection</em>
<em>y=AC= Distance between car and the farmhouse.</em>
Using Pythagoras Theorem we get ,
y^2=x^2+2^2
y^2=x^2+4
y=Sqrt of{(x^2+4)}
Differentiate w.r.t 't' we get
2y*(dy/dt)=2x*(dx/dt)
dy/dt=(x/y)*(dx/dt)
dy/dt=(x/Sqrt of{(x^2+4)})*(dx/dt)............(here x=4 miles)
dy/dt=(2/Sqrt(20))*(dx/dt)
here dx/dt is the rate of change of distance i.e. speed=75
dy/dt=(2/Sqrt(20))*(75)
=0.44721*75
=33.541 mph
K = 4a + 9ab
K = a (4 + 9b)
K / (4 + 9B) = a
-30 is the bigger negative number. Because the -30 is on the left of the 0.95 on the real number axis.
<h3>What is a negative number?</h3>
A negative number indicates the polar opposite. A negative number is one that is less than zero in the real number system.
-30 is the bigger negative number. Because the -30 is on the left of the 0.95 on the real number axis.
Negative numbers are on the x-axis to the left of the origin and on the y-axis to the right of the origin.
Hence -30 is the bigger negative number.
To learn more about the negative number, refer to the link;
brainly.com/question/258076
#SPJ1
PEMDAS
parenthases first
1/4+5/4=6/4=3/2
we now havve
3/2 times 2+ 3/4
multilication
3/2 times 2=6/2=3
now we have
3+3/4=12/4+3/4=15/4
15/4 or 3 and 3/4
Answer:
$22.05
Step-by-step explanation:
the first year her money is in the account she will earn 1 dollar in interest because 5% of 20 is 1. For the second year she will has 21 dollars in her account and 5% of 21 is 1.05 which also gets added to the 21 so she will have $22.05 after 2 years.