All categories

3 years ago

Variable definition?

Mathematics

1 answer:

kkurt [141]3 years ago

5 0

The number beside the letter . for example 6x, 6 would be the variable

You might be interested in

A type of organism's cells split every minute. If the organism has 4 cells when the cells begin to split, how many cells will th

snow_lady [41]

Answer:

The total of cells will the organism have after 6 minutes is 252

Step-by-step explanation:

* Lets consider this problem as a geometric series

- There is a constant ratio between each two consecutive numbers

Ex:

# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)

# 5000 , 1000 , 200 , 40 , …………………………(÷5)

* General term (nth term) of a Geometric series:

∵ U1 = a , U2 = ar , U3 = ar^2 , U4 = ar^3 , U5 = ar^4

∴ Un = ar^n-1

- Where r is the ratio between each two consecutive terms and

n is the position of the number in the series

* The sum of first n terms of a Geometric Progression is calculate from

Sn = a(1 - r^n)/1 - r

- In the problem the cell split every minute

- The organism has 4 cells when the cells begin to split

∴ a = 4

# 4 , 8 , 16 , 32 , .......

∴ r = 2

- The total of cells will the organism have after 6 minutes can

calculate from the rule of the sum

∴ S6 = 4(1 - 2^6)/1 - 2 = 4(1 - 64)/-1 = 4(-63)/-1 = 252 cells

4 0

3 years ago

Give me a correct answer, My answer probably wrong.

Georgia [21]

Hello!

This is a problem about the general solution of a differential equation.

What we can first do here is separate the variables so that we have the same variable for each side (ex. $dy$ with the $y$ term and $dx$ with the $x$ term).

$\frac{dy}{dx}=\frac{x-1}{3y^2}$

$3y^2dy=x-1dx$

Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.

$y^3=\frac{1}{2}x^2-x+C$

Then here, we just solve for $y$ and we have our general solution.

$y=\sqrt[3]{\frac{1}{2}x^2-x+C}$

We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.

Hope this helps!

3 0

2 years ago

Fill in the table using this function rule. y=-3x-3

pashok25 [27]

Answer:

When x = -2, y = 3

When x = -1, y = 0

When x = 0, y = -3

When x = 1, y = -6

Step-by-step explanation:

Given:

y = -3x - 3

Fill in the table using the following value for x

When x = -2

y = -3x - 3

y = -3(-2) - 3

y = 6 - 3

y = 3

When x = -2, y = 3

When x = -1

y = -3x - 3

y = -3(-1) - 3

y = 3 - 3

y = 0

When x = -1, y = 0

When x = 0

y = -3x - 3

y = -3(0) - 3

y = 0 - 3

y = -3

When x = 0, y = -3

When x = 1

y = -3x - 3

y = -3(1) - 3

y = -3 - 3

y = -6

When x = 1, y = -6

3 0

3 years ago

Easy points. see image below

tatuchka [14]

Answer:

Given expression:

$\sf -(-(-3)) + 2 + |-7|$

Simplify following inside parenthesis

$\sf -3 + 2 + |-7|$

If following is |-a| then |-a| = a

$\sf -3 + 2 + 7$

Evaluate following

$\sf 6$

4 0

2 years ago

Commemorative coins come in packs of 15, while coin holders come in packs of 25. What are the least numbers of packs you shoul

Elis [28]

Answer:

5 Commemorative coin packs

3 coin holders

Step-by-step explanation:

5 0

2 years ago