What is 654,984 × 548,784,844 × 99,999 ?

A pond holds 1920 gallons of water. There is a leak and the amount of water drops 20 gallons every hour. How much water is in th

Ivahew [28]

Answer:

20 times an hour so 20 times 48 is 960 1920-960 is 960 gallons so there is 960 gallons of water left

7 0

3 years ago

Read 2 more answers

Please help me solve this!!

lyudmila [28]

Answer:

$x=\sqrt{-2},or,x=\sqrt{2}i$

Step-by-step explanation:

$-3x^2+11=17\\-3^2+11-(11)=17-(11)\\-3x^2=6\\x^2=-2\\x=\sqrt{-2}$ I don't know what level math you're taking but in lower level math this would be undefined, can't be simplified. But some higher levels simplify it with imaginary or complex number representations. So take your pick, but it's still undefined
$x=\sqrt{2}i$

5 0

3 years ago

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).

8 0

4 years ago

35xy/7y simplified plz just simple fied it ;-; rip me i hate math mevr udnerstood it

ch4aika [34]

Its 7xy/1y I understand it its pretty easy

5 0

3 years ago

The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150 with a standard devi

jonny [76]

Answer:

The test value is z = -1.31.

Step-by-step explanation:

The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150.

This means that the null hypothesis is that the mean is this value, that is:

$H_0: \mu = 125150$

The Eagle Ridge Home Owners Association is interested in knowing if the costs of homes for sale in this subdivision are actually lower than claimed.

This means that at the alternate hypotehsis we test that the mean is lower than that value, that is:

$H_a: \mu < 125150$