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3 years ago

7

What is the scientific notation for 3800

1 answer:

BigorU [14]3 years ago

8 0

3.8 x 10²

im pretty sure thats scientific notation

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This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

pashok25 [27]

Answer with Step-by-step explanation:

We are given that

$f(x,y,z)=10x+10y+3z$

$g(x,y,z)=5x^2+5y^2+3z^2=43$

We have to find the extreme values of the function.

$f_x(x,y,z)=10,f_y(x,y,z)=10,f_z(x,y,z)=3$

$g_x(x,y,z)=10x,g_y(x,y,z)=10y,g_z(x,y,z)=6z$

$\Delta f(x,y,z)=\lambda \Delta g(x,y,z)$

Therefore,

$10=\lambda 10x\implies x=\frac{1}{\lambda}$

$10=10y\lambda\implies y=\frac{1}{\lambda}$

$3=6z\lambda$

$z=\frac{1}{2\lambda}$

Substitute the values in g(x)

Then, we get

$\frac{5}{\lambda^2}+\frac{5}{\lambda^2}+\frac{3}{4\lambda^2}=43$

$\frac{20+20+3}{4\lambda^2}=43$

$\frac{43}{4\lambda^2}=43$

$\lambda^2=\frac{43}{4\times 43}$

$\lambda=\pm\frac{1}{2}$

When $\lambda=\frac{1}{2}$ then,

$x=2,y=2,z=1$

When $\lambda=-\frac{1}{2}$

Then, $x=-2,y=-2,z=-1$

$f(2,2,1)=10+10+3=23$

$f(-2,-2,-1)=-10-10-3=-23$

Hence, maximum value of f(x,y,z) is 23 at (2,2,1) and minimum value of f(x,y,z) is -23 at (-2,-2 ,-1).

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4 years ago

The marginal profit at a production/sales level of 6000 pounds of popcorn is –2.40

ivolga24 [154]

Answer:

Booger are nasty!! dont eat them

Step-by-step explanation:

3 0

3 years ago

WILL MARK BRAINLIEST! PLEASE HELP!<br> Write 206 in base 7

stiks02 [169]

The answer would be 104

7 0

3 years ago

Stewart is making banana pudding for a family reunion. Her recipe uses 1.5 bananas per dish of pudding. If one dish of pudding c

Rina8888 [55]

Answer: She will need about 15 bananas to feed 250 people that will be at the reunion.

Step-by-step explanation:

Let be "x" the number of bananas Stewart will need to feed 250 people that will be at the reunion.

According to the infomation provided in the exercise, we know that she needs 1.5 bananas per dish of pudding and one dish of pudding can feed 25 people.

Knowing this, we can set up the following proportion:

$\frac{1.5}{25}=\frac{x}{250}$

Finally, we must solve for "x":

$(250)(\frac{1.5}{25})=x\\\\x=15$

Therefore, she will need about 15 bananas to feed 250 people that will be at the reunion.

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3 years ago

Instead of subtracting 10, you can add________.<br> (Complete the sentence)

Fiesta28 [93]

Instead of subtracting 10, you can add negative 10

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4 years ago