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Kazeer [188]
2 years ago
5

Situation:

Mathematics
1 answer:
bixtya [17]2 years ago
7 0

Answer:

t = 6162  years

Step-by-step explanation:

Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.

The equation to use is that for carbon decay:

If the skull contains 54% of its original amount of C14, then that means that :

we use this to solve for the time (t) in our equation:

which rounded to the nearest year as requested gives :

t = 6162  years

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Is it true that (x^2–3x+2)/(x –1) = x – 2, for all values of x? Justify your answer.
Nimfa-mama [501]

Answer:

x²-3x+2=0

x²-2x-x+2=0

(x²-2x)(-x+2)=0

x(x-2)-1(x-2)=0

(x-2)(x-1)=0

x-2=0 or x-1=0

x=2 or x=1

6 0
3 years ago
Emma ran 3 miles in 27 minutes how long would it take her to run 5 miles?
Marizza181 [45]
It will take her 45 minutes to run 5 miles,because 27/3=9 and 9•5=45
4 0
3 years ago
A spherical balloon has a circumference of 25 cm.
ArbitrLikvidat [17]

Answer:

See below ↓↓

Step-by-step explanation:

<u>Finding the radius</u>

  • C = 2πr
  • 25 = 2 x 3.14 x r
  • r = 25 / 6.28
  • r = 3.98 cm ≅ 4 cm

<u />

<u>Surface Area</u>

  • 4πr²
  • 4 x 3.14 x 4 x 4
  • 3.14 x 64
  • 200.96
  • <u>201 cm²</u>

<u></u>

<u>Volume</u>

  • 4/3πr³ = 4πr² x r/3
  • 201 x 4/3
  • 67 x 4
  • <u>268 cm³</u>
4 0
2 years ago
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
Find the 107 terms of sequence -9,-5,-1,3,7​
Nikitich [7]

Answer:

415

Step-by-step explanation:

the nth term of the sequence is -13 + 4n

the sequence is an arithmetic progression with nth term a + (n - 1)d

a = -9, d = a5- a4 = 7 -3 =4

nth = -9 + (n -1) 4

       = -9 + 4n -4

       = -13 + 4n

hence the 107th term; -13 + 4*107

                                      -13 + 428 = 415

6 0
3 years ago
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