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Verdich [7]
3 years ago
5

How many people have a membership?​

Mathematics
1 answer:
Ymorist [56]3 years ago
6 0

Answer:

38 people have a membership.

Step-by-step explanation:

That's because the bottom row shows how many years they've had the membership.

And the y axis shows how many people or the frequency of people having the membership for that amount of years.

So its a bar graph that shows you how many of the members have had the membership for a set amount of years.

So all you have to do is add up each column,

0-2 years = 6 people

2-4 years = 8 people

4-6 years = 10 people

6-8 years = 8 people

8-10 years = 6 people

6 + 8 + 10 + 8 + 6 = 38

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Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:
ryzh [129]

First find the critical points of <em>f</em> :

f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7

\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1

\dfrac{\partial f}{\partial y}=6y=0\implies y=0

so the point (1, 0) is the only critical point, at which we have

f(1,0)=-7

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t

Find the critical points of <em>g</em> :

\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0

\implies\sin t=0\text{ OR }1+5\cos t=0

\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi

where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at

t=0\implies f(10,0)=155

t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299

t=\pi\implies f(-10,0)=235

t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299

So <em>f</em> has a minimum of -7 and a maximum of 299.

4 0
3 years ago
Miguel, Jane, and Robert rode 8.7miles in a bike race. They each rode the same distance. Jane shadded the models shown to determ
dmitriy555 [2]
Each person rode 2.9 miles and A total of 8 ones and 7 tenths are shaded to model the total length of the race. The shading is equally divided into 3 groups to model the 3 riders. And each group has 2 ones and 9 tenths shaded to model the distance each person rode
3 0
3 years ago
3/12 1/6 and 1/3 same denominator
iogann1982 [59]
Yes because if you turn 6 and three to 12 then you have 2/12 and 4/12!
5 0
3 years ago
4. Use the distributive property to simplify : 12(2−6).
olasank [31]

Answer:

-48

Step-by-step explanation:

12 x 2=24

12 x 6= 72

24 - 72 = -48

7 0
3 years ago
For the function h(x) defined below, find function f(x) and g(x) so that h(x)=(f^ g)(x) . h(x) = ((x + 2)/x) ^ 3
dem82 [27]

Answer:

Step-by-step explanation:

c

4 0
3 years ago
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