What is -2x+6=-((2)/(3))^(x)+5 as a simplified fraction?
1 answer:
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Answer:
So, the inequality is
Step-by-step explanation:
Since, the shape of ocean front is rectangular
Let's assume length of rectangle is x feet
width of rectangle us y feet
we are given
An ocean front lot has a perimeter of 250 feet
so, we get
now, we can solve for y
now, we can find area
now, we can plug back y
an area of at least 2500 square feet
so, we get
Answer:
Step-by-step explanation:
Since the line passes through the origin, it must be a proportional/direct variation equation.
Direct variation equations have the form:
Where a is the constant of proportionality.
Let’s solve for a. We know that when x=5, y=40. So:
Divide both sides by 5:
Therefore, our equation is:
We want to find the value of k such that y=-24. So, subsitute -24 for y and k for x:
Divide both sides by 8:
Hence, the value of k is -3.
Answer: v = 793.77 mph
Step-by-step explanation: Linear speed of a circular movement is calculated by using the formula:
v = ω.r
where
ω is angular velocity
r is radius of the path
<u>Angular</u> <u>velocity</u> is the rate of change of the angular position of an object with respect of time, i.e., is how fast an object changes its angular position with time:
The Earth takes 24 hours to complete a rotation, then angular velocity:
0.262 rad/h
At a location 40° north, radius is 3033.5 miles, so:
v = 0.262*3033.5
v = 793.77
<u>At latitude of 40°north, linear speed is </u><u>793.77mph</u>.