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Kisachek [45]
3 years ago
15

Please answer with steps​

Mathematics
1 answer:
egoroff_w [7]3 years ago
7 0

9514 1404 393

Answer:

  n = 99

Step-by-step explanation:

The sum of logarithms is the log of a product. Here, the sum of terms is ...

  log(2/1) +log(3/2) +log(4/3) + ... +log((n+1)/n)

  = log((2/1)(3/2)(4/3)×...×((n+1)/n)) = log(n+1)

So, the question reduces to ...

  log(n+1) = 2

Taking antilogs, we have ...

  n +1 = 10^2 = 100

  n = 99

The value of n that makes the sum 2 is 99.

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The approximate volume of each slice will be 63.5 inch². The total cake is divided into the four cylindrical slice.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

The volume of the slice is;

\rm V = \pi r^2 h\\\\\ \rm 81 \pi = \pi  \times (r)^2 \times 4 \\\\ r= 4.5 \ inch

If the grandma cut four pieces, is the approximate volume of each slice that Hattie's grandma cut will be;

The approximate volume of each slice will be;

\rm V = \PI r^2 h \\\\ \rm V = 3.14 \times (4.5)^2 \times 1 \\\\ V=63.5 \ inch^2

Hence, the approximate volume of each slice will be 63.5 inch².

Learn more about the volume here:

brainly.com/question/16788902

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Simplify each expression.
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Answer:

9. Let's simplify step-by-step.

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= 5x + 24 + 147

= ( 5x ) + ( 24 + 147 )

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10.  Let's simplify step-by-step.

Ans. 3x + ( 7x + 10 )

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( 3x + 7x ) + 10

10x +10

11.  Let's simplify step-by-step.

Ans. 5x + ( 2 + 3 )

5x + 5

12. 4 * 10

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13. 3 ( 12x )

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14. 14r + 9y + 6x

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Please mark me as the brainliest

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6 0
3 years ago
A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of t
oee [108]

Answer:

The Probability = 0.20

Step-by-step explanation:

From the question stated, the first step to take is to find probability that an employee selected at random will need either eyeglasses or major dental work

Solution

Given

Now,

The exams showed tha the number of employees needed eyeglasses = 8%

Employees that needed major dental work = 15%

Employees that needed  both eyeglasses and major dental work =3%

Thus,

The P(needed eyeglasses ) = 8% = 0.08

P(major dental work) = 15% = 0.15

P(eye glasses  and major dental work) = 3% = 0.03

The probability that an employee selected at random will need either eyeglasses or major dental work is  given as

= P(eye glasses ) + P(major dental work) - P(eyeglasses and major dental work)

= 0.08 + 0.15 - 0.03 = 0.20

Therefore the Probability = 0.20

5 0
3 years ago
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