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Lilit [14]
3 years ago
11

Prove that 3^17−3^15+3^13 is divisible by 73.

Mathematics
1 answer:
Debora [2.8K]3 years ago
5 0

Answer:

3^13*73

Step-by-step explanation:

3^17-3^15+3^13 So you factor out 3^13

=3^13(3^4-3^2+1)

3^4-3^2+1=73

3^13*73

Is this RSM?

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Find the prime factors of 60 by dividing by prime numbers.​
Mars2501 [29]

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

<h3>60 = 2*2*3*5</h3>

which is the same as saying

<h3>60 = 2^2*3*5</h3>
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2 years ago
2x to the second power + 2 + 9x to the second power
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Answer:

11x^2+2

Step-by-step explanation:

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4 0
3 years ago
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Multiply 3/5 and 3/4
ella [17]

Answer:

6/9

Step-by-step explanation:

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3 years ago
Julia is using the distributive property to simplify 3(x+2). Find her mistake and correct it
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3x + 6
distribute the 3 to both of the places in the parentheses. 
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3 years ago
A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

8 0
3 years ago
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