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Harman [31]
3 years ago
6

Prove that any number raised to the 0'th power equals 1

Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0
(a number)^to the 'A' power, divided by (the same number)^to the 'B' power =

                                                       (the same number)^(A - B) power

If 'A' = 'B', then the numerator and the denominator are both

                                   (the same number)^to the same power,

and since (A - B = 0) , the quotient is   (the same number)^to the ( 0 ) power.

But a fraction with the same thing in the numerator and the denominator is '<em><u>1</u></em> '.

qed
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Michael Phelps consumes 15,000 calories per day, swimming the butterfly stroke burns 1200 calories per hour. Michael can swim an
Evgen [1.6K]

To calculate this we should firstly calculate that how many laps can he do in an hour. So assuming that he does all the laps at the same rate he must do 120 laps in an hour.

Now because he burns 1200 calories per hour we can see how many number of hours it would take him to burn 15000 calories. So it would take him around 15000 / 1200 = 12.5 hours. So now we will multiply 12.5 by 120 laps as that is the number laps he can do in an hour. So that is around 1500 laps a day.

4 0
3 years ago
A segment has an endpoint at (1,−2). The midpoint is at (−4,−2). What are the coordinates of the other endpoint?
vodka [1.7K]

Answer:

The other midpoint is located at coordinates (-9,-2) (Second option)

Step-by-step explanation:

<u>Midpoints</u>

If P(a,b) and Q(c,d) are points in \mathbb{R} ^2, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by

\displaystyle x_m=\frac{a+c}{2}

\displaystyle y_m=\frac{b+d}{2}

We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.

The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:

x (other endpoint)= - 4 - 5 = - 9

So the other midpoint is located at (-9,-2) (Second option)

5 0
3 years ago
Could someone help me on this math question !
Alenkasestr [34]
The answer is 1/3 chances, There are 12 tables in total, 4 red and 8 blue. You can Render that down to 1 red and 2 blue, now there are 3 tables and only 1 is red, therefore the answer is 1/3 chance
6 0
3 years ago
What is the length of the side labeled x cm?
UkoKoshka [18]
When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees

The Law of Sines states that

side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)

14 * Sine (41) / Sine (77) = side x

side x = 14 * 0.65606 / 0.97437
<span>side x = 9.18484 / 0.97437
</span>
<span> <span> <span> side x = 9.4264396482 </span> </span> </span> 









5 0
3 years ago
Convert the following into standard form<br> Y=7/5x+1
vlabodo [156]

Answer:

7x - 5y = -5 this is the standard form

4 0
3 years ago
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