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3 years ago

What is the greatest common factor 12x^5 and 8x^3

Mathematics

1 answer:

Marta_Voda [28]3 years ago

8 0

Hey there! I'm happy to help!

Let's see what makes 12x^5.

3·2·2·x·x·x·x·x

And for 8x^3...

2·2·2·x·x·x

We see that both of these have two 2s and 3 xs, so our GCF is 2·2·x·x·x which is 4x^3.

Have a wonderful day! :D

You might be interested in

Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance

maks197457 [2]

Answer:

The uncertainty in the average speed is 0.134 meters per second.

Step-by-step explanation:

Let be $v(t, x) =\frac{x}{t}$ the average speed function, we calculate the uncertainty in the average speed by total differentials, which is in this case:

$\Delta v = \frac{\partial v}{\partial x}\cdot \Delta x+\frac{\partial v}{\partial t}\cdot \Delta t$

Where:

$\Delta v$ - Uncertainty in the average speed, measured in meters per second.

$\frac{\partial v}{\partial x}$ - Partial derivative of the average speed function with respect to distance, measured in $s^{-1}$ .

$\frac{\partial v}{\partial t}$ - Partial derivative of the average speed function with respect to time, measured in meters per square second.

$\Delta x$ - Uncertainty in distance, measured in meters.

$\Delta t$ - Uncertainty in time, measured in seconds.

Partial derivatives are, respectively:

$\frac{\partial v}{\partial x} = \frac{1}{t}$ , $\frac{\partial v}{\partial t} = - \frac{x}{t^{2}}$

Then, the total differential expression is expanded as:

$\Delta v = \frac{\Delta x}{t}-\frac{x\cdot \Delta t}{t^{2}}$

If we get that $\Delta x = 2.3\,m$ , $t = 6.3\,s$ , $x = 6.1\,m$ and $\Delta t = 1.5\,s$ , the uncertainty in the average speed is:

$\Delta v = \frac{2.3\,m}{6.3\,m}-\frac{(6.1\,m)\cdot (1.5\,s)}{(6.3\,s)^{2}}$

$\Delta v = 0.134\,\frac{m}{s}$

The uncertainty in the average speed is 0.134 meters per second.

8 0

3 years ago

I need help on 1 and 2

Naily [24]

Answer:

1. ∠1 and ∠3. ∠1 and ∠2.

2. ∠6 and ∠5. ∠6 and ∠4

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex but do not overlap. The ones above are the pairs of adjacent angles that share a common vertex, but do not overlap.

8 0

2 years ago

A repairman leans the top of an 26 foot ladder against the

aleksandr82 [10.1K]

Answer:

653.91 squared or 326.955 not squared

Step-by-step explanation:

We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!

The first step is

A^2 + B^2 = C^2

2 step

4.7^2 + B^2 = 26^2

3 step

4.7 x 4.7 = 22.09 and 26 x 26 = 676

4 step

22.09 + B^2 = 676

5 step

676 - 22.09 = 653.91

6 step

Answer

653.91 squared or 326.955 not squared!

hope this helps

7 0

2 years ago

a jar contains 30 red, 40 blue, and 50 white buttons. you pick one button at random, find the probability that is not white

Jet001 [13]

Answer:

<em>The probability that the button is not white is </em><em>0.583</em>

Step-by-step explanation:

The jar contains 30 red, 40 blue, and 50 white buttons.

In total there are 120 buttons in the jar. So,

$|\ S\ |=120$

Let us assume that, A be the event of picking white buttons, so

$|\ A\ |=50$

So the probability of picking white button is,

$P(A)=\dfrac{|\ A\ |}{|\ S\ |}=\dfrac{50}{120}$

Then the event $A^c$ will be not picking up white buttons, so the probability of not picking up white buttons is,

$P(A^c)=1-P(A)=1-\dfrac{50}{120}=\dfrac{70}{120}=\dfrac{7}{12}=0.583$

3 0

3 years ago

Janine and her older sister Ingrid's ages are consecutive even numbers. When Janine's age is divided by seven, and Ingrid's age

a_sh-v [17]

Answer:

Janine is 28. Ingrid is 30.

Step-by-step explanation:

Let the ages be x and x + 2 for Janine and her sister, respectively.

x/7 + (x + 2)/3 = 14

Multiply both sides by the LCD, 21, to get rid of denominators.

21 * x/7 + 21 * (x + 2)/2 = 21 * 14

3x + 7(x + 2) = 294

3x + 7x + 14 = 294

10x = 280

x = 28

x + 2 = 30

Answer: Janine is 28. Ingrid is 30.

4 0

2 years ago

Read 2 more answers