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harkovskaia [24]
2 years ago
6

Danny scored 10 points in the first set of the game he lost 20 points in the second round and a final-round feet are in 40 point

s what was Danny score at the end of the game
Mathematics
2 answers:
Harman [31]2 years ago
4 0
It is 30 I think sorry if it is wrong
dlinn [17]2 years ago
4 0
I think it's 30, I'm 99.9% sure
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5:4

Step-by-step explanation

If your shoes to flip-flops are 10:8 then the starting ratio will be 10:8 but 10 and 8 are both divisible to 2 so you can simplify 10:8 to 5:4

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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
Asap help.! Circle measurements
Margaret [11]

Answer:

D

Step-by-step explanation:

Here, we want to get the value of x;

To get this, we simply use one of the circle angle and arc properties

Mathematically;

arc MN = 2 * arc MLN

3x + 22 = 134/2

That will be;

3x + 22 = 67

3x = 67-22

3x = 45

x = 45/3

x = 15

5 0
3 years ago
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