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3 years ago

Which equation represents this number sentence?

Mathematics

1 answer:

Marina CMI [18]3 years ago

8 0

Answer:

Step-by-step explanation:

Let the number be 'x'

Quotient of a number and 4 = $\frac{x}{4}$

Six less than the quotient of a number and 4 : $\frac{x}{4}-6$

Equation:

$\frac{x}{4} \ - \ 6 = 15$

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I really need help with this

postnew [5]

Answer:

1/2 or .5

Step-by-step explanation:

you find 2 points that the line goes through, then you find the rise/run. lastly you simplify if you can, then you have the answer

7 0

3 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function f, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to x :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to y :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with f , then differentiate both sides with respect to z :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to z :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

7 0

3 years ago

can someone help me?, I had the notes in my notebook but the notebook got full, so I threw it away not thinking I was gonna need

Natalija [7]

Step-by-step explanation:

hope this helps you

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5 0

3 years ago

The probability that a normal random variable is less than its mean is ____. 1.0 0.5 0.0 Cannot be determined?

Ber [7]

The correct answer for the question that is being presented above is this one: "0.5" The probability that a normal random variable is less than its mean is 0.5. In a normal distribution, 1.0 refers to the one that is stable and is in equilibrium.

7 0

3 years ago

Are these numbers divisible by 2,3,5,10 444: 90: 45:

anyanavicka [17]

444 ÷ 2 = 222

444 ÷ 3 = 148

90 ÷ 2 = 45

90 ÷ 3 = 30

90 ÷ 5 = 18

90 ÷ 10 = 9

45 ÷ 3 = 15

45 ÷ 5 = 9

So 444 can be divided into 2 and 3

90 can be divided into 2, 3, 5, and 10

45 can be divided into 3 and 5

Hope this helps. :)

6 0

3 years ago

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