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Sliva [168]
4 years ago
11

I need help on 9. 10. 11.

Mathematics
1 answer:
netineya [11]4 years ago
8 0
9. there are 22 signs
10. 34.46 square miles
11. 77.9 miles
:)
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kakasveta [241]
Multiply 20 by 37. This is 740.  Divide this by 2, this is 370.  She will donate $370 to charity
7 0
3 years ago
Find the value of x. Please
Studentka2010 [4]

Answer:

113

Step-by-step explanation:

96+17=113

180-113=67

67+x=180

x=180-67

x=113

7 0
3 years ago
Find the max and min values of f(x,y,z)=x+y-z on the sphere x^2+y^2+z^2=81
Anton [14]
Using Lagrange multipliers, we have the Lagrangian

L(x,y,z,\lambda)=x+y-z+\lambda(x^2+y^2+z^2-81)

with partial derivatives (set equal to 0)

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}
L_y=1+2\lambda y=0\implies y=-\dfrac1{2\lambda}
L_z=-1+2\lambda z=0\implies z=\dfrac1{2\lambda}
L_\lambda=x^2+y^2+z^2-81=0\implies x^2+y^2+z^2=81

Substituting the first three equations into the fourth allows us to solve for \lambda:

x^2+y^2+z^2=\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}=81\implies\lambda=\pm\dfrac1{6\sqrt3}

For each possible value of \lambda, we get two corresponding critical points at (\mp3\sqrt3,\mp3\sqrt3,\pm3\sqrt3).

At these points, respectively, we get a maximum value of f(3\sqrt3,3\sqrt3,-3\sqrt3)=9\sqrt3 and a minimum value of f(-3\sqrt3,-3\sqrt3,3\sqrt3)=-9\sqrt3.
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3 years ago
The travel time for a plane traveling at a rate of r kilometers per hour for 290 kilometers
Lapatulllka [165]
Time = distance / rate
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7 0
3 years ago
Brianna has 4 pink bracelets. One third of all her bracelets are pink. How many braclets does Brianna have?
liq [111]
Brianna has 12 braclets
3 0
3 years ago
Read 2 more answers
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