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3 years ago

What is Q35 please x

Mathematics

1 answer:

andrew-mc [135]3 years ago

7 0

Answer:.

A total of 5 expressions can be simplified to 4n + 8.

Step-by-step explanation:

1. 2n + 2(n + 4)

= 2n + 2n + 2.4

= 4n + 8

2. $\textbf{4(n + 1)} + \frac{ \textbf{4n}}{\textbf{n}}$

= 4n + 4 + 4

= 4n + 8

3. 2³ + n³ + n

Since. 2³ = 8 we have:

8 + n³ + n

≠ 4n + 8

4. 5(n - 1) - (n - 13)

= 5n - 5 - n + 13

= 4n + 8

5. 4n + 8

= 4n + 8

6. $\frac{\textbf{10(4 + 2n)}}{\textbf{5}}$

= 10.2(2 + n)/5

= 2.2(2 + n)

= 4(2 + n)

= 8 + 4n

= 4n + 8

7. (2n + 1)² - 4n²

= 4n² + 2.2n . 1 + 1² - 4n²

= 4n² + 4n + 1 - 4n²

= 4n + 1

Hence, the answer.

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Tell me the Definition of each Word listed (math)

natita [175]

Constant: A value that doesn't change. Instead, it's a fixed value.

Variable: A symbol (usually a letter) standing in for an unknown numerical value in an equation.

Term: Either a single number or variable, or numbers and variables multiplied together. (Terms are separated by + or − signs, or sometimes by divide.)

Like Terms: Terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other.

Coefficient: A number used to multiply a variable.

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2 years ago

M=7,r=8, t=2 ; mr/t = what

galina1969 [7]

Answer:

Step-by-step explanation:

Plug in the corresponding numbers to the corresponding variables. Note that:

m = 7

r = 8

t = 2

mr/t = (7 * 8)/2

(7 * (8/2)) = 7 * 4 = 28

28 is your answer.

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2 years ago

Write 3/100 as a decimal

Vlada [557]

Answer:

0.03

Step-by-step explanation:

There are two 0s so it is 0.03

7 0

3 years ago

Find the work done by F= (x^2+y)i + (y^2+x)j +(ze^z)k over the following path from (4,0,0) to (4,0,4)

babunello [35]

$\vec F(x,y,z)=(x^2+y)\,\vec\imath+(y^2+x)\,\vec\jmath+ze^z\,\vec k$

We want to find $f(x,y,z)$ such that $\nabla f=\vec F$ . This means

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

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

$\dfrac{\partial f}{\partial z}=ze^z$

Integrating both sides of the latter equation with respect to $z$ tells us

$f(x,y,z)=e^z(z-1)+g(x,y)$

and differentiating with respect to $x$ gives

$x^2+y=\dfrac{\partial g}{\partial x}$

Integrating both sides with respect to $x$ gives

$g(x,y)=\dfrac{x^3}3+xy+h(y)$

Then

$f(x,y,z)=e^z(z-1)+\dfrac{x^3}3+xy+h(y)$

and differentiating both sides with respect to $y$ gives

$y^2+x=x+\dfrac{\mathrm dh}{\mathrm dy}\implies\dfrac{\mathrm dh}{\mathrm dy}=y^2\implies h(y)=\dfrac{y^3}3+C$

So the scalar potential function is

$\boxed{f(x,y,z)=e^z(z-1)+\dfrac{x^3}3+xy+\dfrac{y^3}3+C}$

By the fundamental theorem of calculus, the work done by $\vec F$ along any path depends only on the endpoints of that path. In particular, the work done over the line segment (call it $L$ ) in part (a) is

$\displaystyle\int_L\vec F\cdot\mathrm d\vec r=f(4,0,4)-f(4,0,0)=\boxed{1+3e^4}$

and $\vec F$ does the same amount of work over both of the other paths.

In part (b), I don't know what is meant by "df/dt for F"...

In part (c), you're asked to find the work over the 2 parts (call them $L_1$ and $L_2$ ) of the given path. Using the fundamental theorem makes this trivial:

$\displaystyle\int_{L_1}\vec F\cdot\mathrm d\vec r=f(0,0,0)-f(4,0,0)=-\frac{64}3$

$\displaystyle\int_{L_2}\vec F\cdot\mathrm d\vec r=f(4,0,4)-f(0,0,0)=\frac{67}3+3e^4$

8 0

2 years ago

Are there any outliers in the data? What does the outlier mean?

Brrunno [24]

Answer:

<em>44, definition below</em>

Step-by-step explanation:

An outlier is a number that is much larger or smaller than the general populous of numbers. For example, if there was a dot plot with dots clustered at 2, 3, and 5, but there was one or two dots around 10, then 10 would be considered an outlier.
I would consider 44 to be an outlier in the number set.

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

5 0

2 years ago