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elena55 [62]
1 year ago
13

Please help!!! asap!!!

Mathematics
1 answer:
quester [9]1 year ago
5 0

Answer:

x = 11 cos 22 = 11 * .927 = 10.2

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18 points - Qu. If 16 whole numbers factor into 120. You will see how 32 whole numbers factor into 1200 what does the same princ
alexandr402 [8]

Explanation:

<em>Your premise and conclusion are both incorrect</em>.

120 has the prime factorization ...

  120 = 2³ × 3 × 5

The exponents of the prime factors are {3, 1, 1}. The number of divisors of 120 is the product of the increments of these numbers: (3+1)(1+1)(1+1) = 4·2·2 = 16.

120 has 16 natural-number divisors

__

1200 has the same prime factor and two more: 2·5, so the factorization is ...

  1200 = 2⁴ × 3 × 5²

These exponents are {4, 1, 2} and the product of their increments is 5·2·3 = 30.

1200 has 30 natural-number divisors.

__

When a number is multiplied by 2, its number of natural-number divisors will be (n+1)/n times the previous number of divisors, where n is the increment of the exponent of 2 that is a factor of the original number.

For 120, 2^3 is the power of 2 that is a factor. So, multiplying the number by 2 multiplies the number of divisors by (4+1)/4 = 5/4.

240 will have 20 divisors versus the 16 that 120 has.

Likewise, multiplying this number (240) by 5 will multiply its number of divisors by (2+1)/(1+1) = 3/2, where 1 is the power of 5 that is a factor of 240.

1200 will have 20(3/2) = 30 divisors, versus the 20 that 240 has, or the 16 that 120 has.

__

<em>Summary</em>

The number of divisors of an integer is the product of the increments of the exponents of its prime factors.

_____

<em>For reference</em>

Here are the divisors of 120:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Here are the divisors of 240:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Here are the divisors of 1200:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

7 0
3 years ago
[(2x)^x (2x)^2x]^1/x<br>how do you simplify this?
Monica [59]
Note that [ (2x)^x ]^(1/x) = 2x, and that [ (2x)^(2x) ]^(1/x) = (2x)^2 = 4x^2

Multiplying these 2 results together, we get (2x)(4x^2) = 8x^3 (answer)
5 0
3 years ago
The players height is standard deviation above the mean?
Alona [7]

Answer:

Step-by-step explanation:

Z score is the number of standard devations above the mean.

For example if z=1, the data value is 1 st. dev. above the mean.

So, z=1.95, so the player's heigh is 1.95 st. dev. above the mean.

4 0
3 years ago
2 (×+1)=3×-1 how to solve for x?
hram777 [196]
Hi. 2 (×+1)=3×-1 ; 2x+2= 3x-1 ;
2x-3x= -1-2 ; -x = -3 ; x=3. Hope this helps.
4 0
3 years ago
Suppose y varies directly with x when x is 4, y is 32. What is y when x is -2
omeli [17]

Step-by-step explanation:

Since y varies directly with x,

y = kx, where k is a real constant.

When x = 4, y = 32.

=> (32) = (4)k, k = 8.

Therefore when x = -2,

y = kx = (8)(-2) = -16.

3 0
3 years ago
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