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sleet_krkn [62]
3 years ago
8

Help meh plz plz quickly

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0
1 load of stone equals 1/6 ton
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5 < 2a(üssü -1) + 3 < 9 eşitsizliğini sağlayan a sayısı aşağıdakilerden hangisi olabilir?
Andru [333]

Answer:

d

Step-by-step explanation:

I believe it is d if I'm not wrong

6 0
2 years ago
Rewrite the expression as a single logarithm: <br> log 5 - log 7
Lady bird [3.3K]

Answer:

-0.146

Step-by-step explanation:

log 5 = 0.699

log 7 = 0.845

5 0
3 years ago
Read 2 more answers
Area of octagon with radius 5?
Montano1993 [528]
I got 200 from a octagon with the diameter of 10
3 0
2 years ago
WILL MARK THE BRAINLIEST
Elis [28]

Answer:

Option D, 16/21

Step-by-step explanation:

<u>Step 1:  Add all of them together</u>

5 + 7 + 9

21

<u>Step 2:  Figure out how much of the plants are medicinal</u>

7 + 9

16

<u>Step 3:  Figure out the probability </u>

16/21

Answer:  Option D, 16/21

7 0
3 years ago
Use Lagrange multipliers to find the maximum and minimum values of (i) f(x,y)-81x^2+y^2 subject to the constraint 4x^2+y^2=9. (i
sp2606 [1]

i. The Lagrangian is

L(x,y,\lambda)=81x^2+y^2+\lambda(4x^2+y^2-9)

with critical points whenever

L_x=162x+8\lambda x=0\implies2x(81+4\lambda)=0\implies x=0\text{ or }\lambda=-\dfrac{81}4

L_y=2y+2\lambda y=0\implies2y(1+\lambda)=0\implies y=0\text{ or }\lambda=-1

L_\lambda=4x^2+y^2-9=0

  • If x=0, then L_\lambda=0\implies y=\pm3.
  • If y=0, then L_\lambda=0\implies x=\pm\dfrac32.
  • Either value of \lambda found above requires that either x=0 or y=0, so we get the same critical points as in the previous two cases.

We have f(0,-3)=9, f(0,3)=9, f\left(-\dfrac32,0\right)=\dfrac{729}4=182.25, and f\left(\dfrac32,0\right)=\dfrac{729}4, so f has a minimum value of 9 and a maximum value of 182.25.

ii. The Lagrangian is

L(x,y,z,\lambda)=y^2-10z+\lambda(x^2+y^2+z^2-36)

with critical points whenever

L_x=2\lambda x=0\implies x=0 (because we assume \lambda\neq0)

L_y=2y+2\lambda y=0\implies 2y(1+\lambda)=0\implies y=0\text{ or }\lambda=-1

L_z=-10+2\lambda z=0\implies z=\dfrac5\lambda

L_\lambda=x^2+y^2+z^2-36=0

  • If x=y=0, then L_\lambda=0\implies z=\pm6.
  • If \lambda=-1, then z=-5, and with x=0 we have L_\lambda=0\implies y=\pm\sqrt{11}.

We have f(0,0,-6)=60, f(0,0,6)=-60, f(0,-\sqrt{11},-5)=61, and f(0,\sqrt{11},-5)=61. So f has a maximum value of 61 and a minimum value of -60.

5 0
3 years ago
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