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RUDIKE [14]
3 years ago
12

Which of the following numbers is a Mersenne prime? A: 90 B: 27 - 1 C: 211 - 1 D: 15

Mathematics
1 answer:
My name is Ann [436]3 years ago
3 0

Answer:

  B:  2⁷-1 = 127

Step-by-step explanation:

A Mersenne prime is a prime of the form 2^n -1, where n is also a prime.

Among the answer choices, neither 90=2·3²·5 nor 15=3·5 is prime. Both 2⁷-1 = 127 and 2¹¹-1 = 2047 are of the right form, but 2047 = 23·89 is a composite number.

  2⁷-1 = 127 is a Mersenne prime

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3 years ago
Can someone pls. help me with this, the instruction says "Find the Unknown length marked on the following figure. Round all the
coldgirl [10]

Answer:

The length of diagonal d is 14.1421 cm

Step-by-step explanation:

We are given square

Length of side of square = 10 cm

We need to find the length of diagonal d

To find diagonal of square, the formula used is:

Diagonal\: of\: square=s\sqrt{2}

where s is length of side of square.

Putting values of s and finding length of diagonal of square

Diagonal\: of\: square=s\sqrt{2}\\Diagonal\: of\: square=10\sqrt{2}\\Diagonal\: of\: square=10(1.41421)\\Diagonal\: of\: square=14.1421\:cm

So, The length of diagonal d is 14.1421 cm

3 0
3 years ago
If Chris has 2 times as many nickels as quarters and they have a combined value of 210 cents, how many of each coin does he have
BlackZzzverrR [31]
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8 0
3 years ago
Find the equation of the line that is parallel to x=5y-8 and pass through (6, -5) in slope intercept form
DochEvi [55]

Answer:

y=1/5x-31/5 (or y=0.2x-6.2 in decimals)

Step-by-step explanation:

x=5y-8     (original equation)

x+8=5y <u>(Addition Property of Equality)</u>

1/5x+8/5=y <u>(Division Property of Equality, </u><u>slope </u><u>of </u><u><em>original equation </em></u><u>is </u><u>1/5</u><u>)</u>

<u />

y-y1=m(x-x1)    <u>(point-slope formula)</u>

y-(-5))=1/5(x-(6)) <u>(plug in the slope that was found earlier and the point given in the question)</u>

y+5=1/5(x-6)

y+5=1/5x-6/5   (Distributive Property of Multiplication)   Note:  5 = 25/5

<u>y=1/5x-31/5</u> (Subtraction Property of Equality, and there's your answer)

<u>y=0.2x-6.2</u><em> </em>(This is the same answer, but written with decimals)

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3 years ago
Dilate the figure by the scale factor. Then enter
Rzqust [24]

Answer:

there you go but im not sure . hope its helpful and good luck ;)

7 0
3 years ago
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