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2 years ago

(1/2)power 5=?? please help

Mathematics

2 answers:

Mashutka [201]2 years ago

4 0

$\frac{1}{2} \: to \: the \: power \: of \: 5 \: is \: \frac{1}{32} or \: 0.03125$

Vinil7 [7]2 years ago

3 0

Answer:

$\ {\boxed{ \tt ( \frac{1}{2}) ^{5} = \frac{1}{32} }}$

Step-by-step explanation:

$\\ \tt( \frac{1}{2} )^{5}$

$\\ \tt= \frac{ {1}^{5} }{ {2}^{5} }$

$\\ \tt = \frac{1 \times 1 \times 1 \times 1 \times 1}{2 \times 2 \times 2 \times 2 \times 2}$

$\\ \tt = \frac{1}{32}$

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Which triangle has a bigger area:

irakobra [83]

Hello there!

Answer:

Triangle 2

Step-by-step explanation:

To determine which triangle has the bigger area, we would need to figure our the area of the triangles.

To solve for the area of the triangles, we would use the formula length × width × height or l × w × h

They gave us the information to the triangles in the question, so we would just solve.

Triangle 1: $300 *400*500= 60,000,000$

Triangle 2: $300*400*700=84,000,000$

When you finish solving, you would see that triangle 2 has the bigger area.

Triangle 2 would be the CORRECT answer because it has a bigger area than Triangle 1.

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3 years ago

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I need help on this question

My name is Ann [436]

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The mode of a set is the most commonly occurring number in that set, so this would be the best way to find the most commonly occurring type of candy.

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Finally, if half the students in PE are 15 or older, this could be determined by the median.

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3 years ago

Mean and median of 47,49,54,50,48,47,55

elena55 [62]

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3 years ago

Which graph models the pH of this solution?

katovenus [111]

The graph that models the pH of this solution is graph A.

<h3>What is a graph?</h3>

It should be noted that a graph is a diagram such as a series of one or more points, lines, line segments, curves, or areas which represents the variation of a variable in comparison with that of one or more other variables.

The pH is a measure of how acidic or basic water is. It should be noted that the range goes from 0 - 14, with 7 being neutral. The pHs of less than 7 indicate acidity, while a pH of greater than 7 indicates a base. The pH is really a measure of the relative amount of free hydrogen and hydroxyl ions that are in the water.

In this case, x represents the concentration of the hydrogen ions. The first graph illustrates this.

Learn more about graph on:

brainly.com/question/19040584

#SPJ1

<u>Complete question:</u>

The ph of a particular solution is given by pH=-log(x-2) where x represents the concentration of the hydrogen ions in the solution in moles per liter. Which graph models the ph of this solution?

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2 years ago

Which statement best reflects the solution(s) of the equation?

Inessa [10]

x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

Multiply the entire equation with x(x-1)

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}\\\frac{1}{x-1}*x(x-1)+\frac{2}{x}*x(x-1)=\frac{x}{x-1}*x(x-1)\\Cancelling\,\,out\,\,the\,\,same\,\,terms:\\x+2(x-1)=x^2\\x+2x-2=x^2\\3x-2=x^2\\x^2-3x+2=0$

Now, factoring the term:

$x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\\x-1=0\,\,and\,\, x-2=0\\x=1\,\,and\,\, x=2$

The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ the denominator becomes zero i.e

$\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}$

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2 in the equation,

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$

$\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2$

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

#learnwithBrainly

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4 years ago