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Reil [10]
1 year ago
7

Select each expression that is equivalent to 3(n + 6). Select all that apply. (ANSWER ASAP)

Mathematics
2 answers:
rusak2 [61]1 year ago
7 0

Answer:

Step-by-step explanation:

This expression involves the <u>distributive property. </u>In the distributive property, there is a number followed by an equation in parenthesis.

3(n+6)

To simplify it, you have to multiply the first number by each number in the parenthesis, separately:

3(n+6)

3n + 3(6) or 3xn + 3x6 (same thing)

3n+18

Finally, we can check the other 4 choices to double check.

A. 3n+6 (wrong)

B. 2(n+6) + (n+6)=

2xn + 2x6 + n + 6

2n + 12 + n + 6

combine like terms, or all the terms that are the same. start with the Ns, then the numbers:

2n+n + 12+6

3n+18

C. 2(n+6)+n= 2n+2(6) +n = 2n+12+n= 2n+n+12= 3n+12

D.3n+18

E. 2n+2+n+4= 2n+n+2+4= 3n+6

Answer= B and D

hope this helps :))

Salsk061 [2.6K]1 year ago
4 0

Answer: 3n+18 bcz of the distributive property

Step-by-step explanation:

b & d

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The percentage of the radioactive isotope left is 25.0000%.

<h3>What is the half life?</h3>

The half life of a radioactive isotope is the time that will elapse before only half of the number of original isotopes will remain.

Now;

We are told that;

Half life (t1/2) = 55 days

Time taken (t) =  115 days

Ratio of isotope remaining = N/No

Thus;

N/No = (1/2)^t/t1/2

N/No = (1/2)^115/55

N/No = (1/2)^2

N/No =1/4

Hence, the percentage = 1/4 * 100/1 = 25.0000%

Learn more about half life of an isotope:brainly.com/question/16387602

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2 years ago
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
goldfiish [28.3K]

Answer:

  • P(t) = 100·2.3^t
  • 529 after 2 hours
  • 441 per hour, rate of growth at 2 hours
  • 5.5 hours to reach 10,000

Step-by-step explanation:

It often works well to write an exponential expression as ...

   value = (initial value)×(growth factor)^(t/(growth period))

(a) Here, the growth factor for the bacteria is given as 230/100 = 2.3 in a period of 1 hour. The initial number is 100, so we can write the pupulation function as ...

  P(t) = 100·2.3^t

__

(b) P(2) = 100·2.3^2 = 529 . . . number after 2 hours

__

(c) P'(t) = ln(2.3)P(t) ≈ 83.2909·2.3^t

  P'(2) = 83.2909·2.3^2 ≈ 441 . . . bacteria per hour

__

(d) We want to find t such that ...

  P(t) = 10000

  100·2.3^t = 10000 . . . substitute for P(t)

  2.3^t = 100 . . . . . . . . divide by 100

  t·log(2.3) = log(100)

  t = 2/log(2.3) ≈ 5.5 . . . hours until the population reaches 10,000

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3 years ago
A fertilized egg receives 50% of its chromosomes from sperm and 50% from the egg. Which process ensures that the sperm and egg c
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Answer:

           

Step-by-step explanation:

4 0
2 years ago
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Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A =
podryga [215]

9514 1404 393

Answer:

  $9072

Step-by-step explanation:

Put the given numbers in the given formula and do the arithmetic.

  A = MN . . . . . . M = payment = $189. N = number of payments = 48.

  A = $189 × 48 = $9072

The total amount paid is $9072.

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2 years ago
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mart [117]

Answer:

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Step-by-step explanation:

To evaluate h(a + b) , substitute x = a + b into h(x), that is

h(a + b) = 4(a + b) - 2 = 4a + 4b - 2

4 0
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