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Naddika [18.5K]
3 years ago
14

75,984 what the value for the 5 representing

Mathematics
2 answers:
swat323 years ago
6 0

Hey there!

Answer:\boxed{5,000}

Explanation:

Let's review the place value so we know how we got our answer.

7(70,000) 5(5,000), 9(900) 8(80) 4(04)

The one we are looking for is the place value of 5. The number 5 is in the thousands place. So now we have our answer!

\boxed{5,000}\text{ is the answer.}

Hope this helps!

\text{-TestedHyperr}

xenn [34]3 years ago
4 0

Answer: 5,000

Step-by-step explanation:

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4 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.
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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.

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3 years ago
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Answer:

C)

Step-by-step explanation:

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sashaice [31]

Answer:

angle y is 64⁰

Step-by-step explanation:

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you can solve by

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The figure below shows a rectangle with a diagonal drawn.
Kipish [7]

Answer:

<u>Option B. sin(s) = cos(u)</u>

Step-by-step explanation:

The rest of the question is the attached figure.

Complementary angles - two angles that add to 90 degrees.

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For the attached figure:

The set all complementary angles are:

  1. angle s and angle t
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  3. angle s and angle u
  4. angle t and angle v

We will check the options:

A. sin(t) = sin(u)  ⇒(<u>wrong</u>) because t and u are not complementary angles

B. sin(s) = cos(u) ⇒ (<u>True</u>) ⇒ s and u are complementary angles and sine of one of them will be equal to the cosine of other angle.

C. cos(s) = sin(v) ⇒(<u>wrong</u>) because t and u are not complementary angles

D. cos(t) = cos(v) ⇒(<u>wrong</u>) because t and v are complementary angles but sine of one of them should be equal to the cosine of other angle.

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