The average rate of change between from 9:00 to 9:27 is 2.15°F increase per minute
Linear equation
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Let y represent the temperature at x time.
By 9:00 a.m. the same day, the temperature was 54°F. By 9:27 a.m., the temperature was -4°F
m = (-4 - 54)/27 minutes = -2.15
The average rate of change between from 9:00 to 9:27 is 2.15°F decrease per minute
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A^2+B^2=C^2 so 16+25=81 then no ,but it can be an obtuse triangle because the equation a^2+b^2
Answer:
<u>Given :</u>
length offshore = CS=√(1+X^2)
Cable charged = 5000√(1+X^2)
onshore length = 4-X
laying cost = 3000(4-X)
total cost:
C=5000√(1+X^2) +3000(4-X)
DC/DX
= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum
5000X=3000√(1+X^2)
25X^2=3+3X^2
22X^2=3
X=√(3/22)
= 0.3693 miles
So, it would be laid offshore to S in a manner that
BS=X=0.3693 miles
Onshore=4-0.3693
=3.6307 miles
Easy
remember
(x^m)(x^n)=x^(m+n)
basically add exponens when the base is same
(13^-11)(13^16)(13^-3)(13^4)(13^-5)=
13^(-11+16-3+4-5)=
13^(5-4)=
13^1=13
Answer:
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Step-by-step explanation: