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butalik [34]
3 years ago
5

Which equation could be used to solve this problem. The Sum of two consecutive integers is 107. find the integers.

Mathematics
1 answer:
Marina CMI [18]3 years ago
4 0

Because these are consecutive integers and not consecutive even or consecutive odd, we use n + n + 1, which simplifies into 2n + 1, which means that you should use Option D.

Now, we solve:

2n = 106

n = 53

Because 53 + 1 is 54, we know the that the integers are 53 and 54.

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Rationalize the denominator of square root of negative 49 over open parentheses 7 minus 2 i close parentheses minus open parenth
navik [9.2K]

The answer is the option d, which is: d) \frac{-77+21i}{130}

The explanation for this problem is shown below:

1. Smplify the denominator and rewrite the numerator in this form:

\frac{7i}{7-2i-4-9i} \\\frac{7i}{3-11i}

2. Multiply the denominator and the numerator by the conjugated (3+11i) and simplify the expression, as following:

\frac{7i(3+11i)}{(3-11i)(3+11i)} \\ \frac{21i+77i^{2}}{121+9}  \\ \frac{-77+21i}{130}

3. As you can see, you obtain the expression shown in the option mentioned above.

3 0
4 years ago
When seven basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select
irakobra [83]

Answer:

1 / 5040

Step-by-step explanation:

The number of ways that 7 basketball players can be arranged is 7! = 5040.  Only one of these arrangements is alphabetical.  So the probability is 1/5040.

8 0
3 years ago
What is the domain and range of the following:
Mnenie [13.5K]
The domain and range is the foreman range 60
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3 years ago
What does the pH of a solution represent?
lana [24]

Answer:

D. The pH indicates how acidic or basic a solution is.

Step-by-step explanation:

The range goes from 0 to 14, with 7 being neutral.

7 0
3 years ago
If country A has 161,500 million more computers than country B and the total number of computers for both countries is 321,050 m
Vladimir [108]

Answer:

b has 79,775 million

a has 241,275 million

Step-by-step explanation:

a has more than b

b+161,500 is a

b=b

b+b+161,500=321,050

2b=321,050-161,500

2b=159,550

b=159,550/2

b=79,775

a=b+161,500

a=79,775+161,500

a=241,275

6 0
3 years ago
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