Qué fuerza necesitamos para levantar un peso de 300kg con una polea fija o simple

If a 100-part spinner is spun, and then a coin is flipped, how many possible outcomes are in the sample space for the compound e

Inessa [10]

Answer:

200

Step-by-step explanation:

3 0

3 years ago

Which coordinate is a solution to the inequality

Virty [35]

Answer:

C) (3 , 2)

Step-by-step explanation:

y is greater than 2x - 7.

Note the point values (x , y). y, in this case, must be greater than x after it is simplified.

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(3 , -2)

Plug in 3 for x, and -2 for y:

(-2) > 2(3) - 7

-2 > 6 - 7

-2 > -1

(False).

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(4 , 1)

Plug in 4 for x, and 1 for y:

(1) > 2(4) - 7

1 > 8 - 7

1 > 1

(False).

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(3 , 2)

Plug in 3 for x, and 2 for y:

(2) > 2(3) - 7

(2) > 6 - 7

2 > 1

(True).

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∴ C) (3 , 2) is your answer.

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4 0

2 years ago

Change the subject of the formula L = v 4kt - p to k.

Romashka [77]

Answer:

$\boxed{k = \frac{L^2 + p}{4t}}$

General Formulas and Concepts:

Algebra I

Basic Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle L = \sqrt{4kt - p}$

Step 2: Solve for k
We can use equality properties to help us rewrite the equation to get k as our subject:

Let's first square both sides:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\\end{aligned}$

Next, add p to both sides:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\\end{aligned}$

Next, divide 4t by both sides:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\& \rightarrow \frac{L^2 + p}{4t} = k \\\end{aligned}$