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KengaRu [80]
3 years ago
7

Classify the limaçon represented by the equation r=(1/2)-(1/2)sin(theta)

Mathematics
1 answer:
babunello [35]3 years ago
4 0
We know that

Limacons are in the form
r=a(+-)b*sin (theta)  or r=a(+-)b*cos (theta)

in this problem
r=a(+-)b*sin (theta)
so
is symmetric to y axis
a=1/2
b=1/2
a/b=1---------> Cardioid (hearth shaped)

see the attached figure

the answer is the option
<span>A. Cardioid </span>

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Given the function g(x) = x^2 + 5x + 14, determine the average rate of change
Bezzdna [24]

Answer:

13

Step-by-step explanation:

The average rate of change is

f(7) - f(1)

---------------

7-1

f(7) = 7^2 + 5*7 +14 = 49 +35 +14=98

f(1) = 1^2 +5(1)+14 = 1+5+14=20

98-20

--------

7-1

78/6

13

5 0
3 years ago
Y times 3=9 y =what
Nezavi [6.7K]

Answer: 3 Y=3

Step-by-step explanation:

Y×3=9

3×3=9

You can also check this by rearranging it and dividing 9 by 3.

9÷3=3.

This works for any similar problem.

Example:

Y×4=12 Y=? Y=3

Rearrange it and divide 12 by 4.

12÷4=Y

12÷4=3

So Y×4=12 because 3×4=12

Hope this helps!

6 0
3 years ago
jason's fruit basket has 3 apples and 9 plums write the number of apples to the number of plums as a ratio in its simplest form
horrorfan [7]

Answer:

1: 3

Step-by-step explanation:

3:9

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7 0
3 years ago
Read 2 more answers
Jenny owns a salon. She had 150 customers at the end of the third quarter, 151
Alika [10]

Answer:

The answer is 96%

Step-by-step solution:

I just took the test and the way my test is set up, it doesn't show you the answer, you just have the ability to do it again and again with no limit. I saw that most people got all the other questions right but the salon one. And I did too before but after doing it over and over again I finally understood. So the question is Customer Retention = (# Customers at End of time Period less New Customers)/Customers at beginning of time Period

Multiply the result by 100 to convert to percentage

So pretty much what the question is saying is to subtract the numbers at End of time Period by the new costumers then divide that by the costumers at beginning of time Period then multiply the solution by 100 for the percentage. Most people probably dismissed the word less but it's indeed important and it would've been simpler if they just put a subtract sign but hey we got the answer anyway.

6 0
2 years ago
3tanx3x=3 square rooted<br>​
torisob [31]

Answer:

\tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\where~x~is~an~integer.

Step-by-step explanation:

tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\

where~x~is~an~integer.

6 0
2 years ago
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