Which graph shape represents the polar curve r = 1 + 4sin(θ)?
2 answers:
Answer:
A cardioid
Step-by-step explanation:
A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.
The equation of vertical cardioid is ±
Given the polar curve is
4
This is an equation of vertical cardioid.
So, it represents a cardioid.
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Answer:
a)
b) 394 thousand = 394,000 people will be following the website in 2016
Step-by-step explanation:
Exponential equation for an amount:
The exponential equation for an amount after t years has the following format:
In which y(0) is the initial value and r is the growth rate, as a decimal.
A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.
This means that:
a. Write an exponential growth function that represents the number of followers t years after 2010
In thousands:
b. How many people will be following the website in 2016?
2016 is 6 years after 2010, so this is y(6).
Rounding to the nearest thousand:
394 thousand = 394,000 people will be following the website in 2016
Answer:
1. Let, Jamie needs "$ g" for the trip. Then, according to the question,
g = 600 -------------------(1)
2. Let, Stella needs "$ m" for the trip. Then, according to the question,
m = 600 -------------(2)
3. If Jamie washes x no. of cars and Stella makes y no. of pies, then,
25x ≥ 600 ≥ 15y -------------(3)
4. Yes, Stella can afford to sign up for the trip with the money she earns.
Step-by-step explanation:
Let, Jamie needs "$ g" for the trip. Then, according to the question,
g = 600 -------------------(1)
Let, Stella needs "$ m" for the trip. Then, according to the question,
m = 600 -------------(2)
if Jamie washes x no. of cars for $25 each and Stella makes y no. of pies
for $ 15 each, then, according to the question,
25x ≥ 600 ≥ 15y -------------(3)
Yes, Stella can afford to sign up for the trip with the money she earns. Because, she can make at most 40 pies for $15 each and
$ = $ 600 = The amount of money Stella needs for the trip.