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Anestetic [448]

3 years ago

11

What is 18 divided by 14?

2 answers:

liubo4ka [24]3 years ago

8 0

if you typed in 8 divided by 14, you'd get 0.5714. You could also express 8/14 as a mixed fraction: 0 8/14.

e-lub [12.9K]3 years ago

4 0

Answer:

1.28571

Step-by-step explanation:

is the answer

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What is 5 less than 15 as an expression

Aleonysh [2.5K]

The phrase "5 less than" means we are subtracting 5 from some amount. And that amount is 15

So, 15 - 5 is the answer.

4 0

4 years ago

Mark is a coin collector. At the first store he went to, he bought 3 sets of 4 coins. At the second store, he bought 5 sets of 3

kramer

Answer: 2 coins

3 • 4 + 5 • 3 - 5 - 8

6 0

4 years ago

What is the domain of the function Y=

Simora [160]

Answer:

x≥-6

Step-by-step explanation:

the set of all numbers for which a function is defined is called domain

for x≥-6 , this function is defined

6 0

3 years ago

A carpet manufacturer is inspecting for flaws in the finished product. If there are too many blemishes, the carpet will have to

OleMash [197]

Answer:

10 square meters will have a standard deviation of 1.897.

Step-by-step explanation:

Standard deviation for n instances of a variable:

If the standard deviation for one instance of a variable is $\sigma$ , for n instances of the variable, the standard deviation will be of $s = \sigma\sqrt{n}$

The standard deviation of the number of flaws per square yard is 0.6

This means that $\sigma = 0.6$

For the 10 square yards will a standard deviation of

$n = 10$ , so:

$s = \sigma\sqrt{n} = 0.6\sqrt{10} = 1.897$

10 square meters will have a standard deviation of 1.897.

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