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tamaranim1 [39]
3 years ago
15

Marcie wants to find the total number of students with black hair in the freshman class at her school. She has observed 5 of the

9 freshman homerooms. The graph shows the number of students
with black hair she has counted so far. Based on this information, which is the best protection of the total number of students with black hair and then 9 freshman homerooms at Marcie's school?
Mathematics
1 answer:
Tasya [4]3 years ago
8 0

Answer: 1/8

Step-by-step explanation: 9/5 = 1/8

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28 degree + x-4 degree+2x=180 degree
FromTheMoon [43]

Answer:

x = 52

Step-by-step explanation:

28 + x - 4 + 2x = 180

Simplify the left side

3x + 24 = 180

Subtract 24 from each side

3x = 156

Divide each side by 3

x = 52

3 0
2 years ago
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
Select all points that are on the graph of the line
Marysya12 [62]

Answer:

0,3

Step-by-step explanation:

Well 0,3 is the only one that is on here... I apologize if I am wrong!

7 0
3 years ago
Somebody help me out with this one and explain how u got it I will mark u as brainiest if correct
timofeeve [1]

Answer:

C.

Step-by-step explanation: im pretty sure because if you look at Ed its 5 and then if you add the same sides twice its 10 hopefully im right

7 0
3 years ago
!!50 POINTS!! Better Buy?
olchik [2.2K]

Answer:

The best buy item is the Frito-Lay mi Variety Pack. Going for only 0.35 per item.

Step-by-step explanation:

All I did was the equations and then I compared the answer, the lowest answer is the best buy since it is the lowest price found.

Frito-Lay:

9.88/28 = 0.35

Unit rate is 35 cents

Pringles:

6.48/18 = 0.36

Unit rate is 36 cents
Pack of 18:

11.21/18 = 0.6

Unit rate is 60 cents

Pack of 24:

15.85/24 = 0.66

Unit rate is 66 cents

GC:

14.75/30 = 0.49

Unit rate is 49 cents

Sweet Treats:

10.75/25 = 0.43

Unit rate is 43 cents

Comparing all of this data, it can easily be seen that the Frito-Lay mi Variety Pack is the best deal you can find out of these 6 deals.

7 0
2 years ago
Read 2 more answers
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