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miss Akunina [59]
3 years ago
5

Help me with this problem

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

Answer:

x = -59/66

Step-by-step explanation:

Solve for x over the real numbers:

log(7) - log(x + 1) = log(66)

Subtract log(7) from both sides:

-log(x + 1) = log(66) - log(7)

Multiply both sides by -1:

log(x + 1) = log(7) - log(66)

log(7) - log(66) = log(7) + log(1/66) = log(7) + log(1/66) = log(7/66) = log(7/66):

log(x + 1) = log(7/66)

Cancel logarithms by taking exp of both sides:

x + 1 = 7/66

Subtract 1 from both sides:

Answer:  x = -59/66

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Calculate the sum of the first 36 terms of the arithmetic sequence defined in which a36=14 and the common difference is d=1/8
user100 [1]

Answer:

425.25


Step-by-step explanation:

Since we are given 36th term as 14 and we know common difference is \frac{1}{8}, it means that from the first term, we add \frac{1}{8} to each and get 14 on the 36th term. To figure out the first term, thus, we have to subtract \frac{1}{8} 35 times from 14. Let's do it to get first term:

14-35(\frac{1}{8})=\frac{77}{8}=9.625

The sum of arithmetic sequence formula is:

S_{n}=\frac{n}{2}[2a+(n-1)d]

Where,

  • S_{n} is the sum of nth term (we want to figure this out for first 36 terms)
  • a is the first term (we figured this out to be 9.625)
  • n is the term number (36 for our case)
  • d is the common difference (given as \frac{1}{8})

Substituting all the values, we get:

S_{36}=\frac{36}{2}[2(9.625)+(36-1)(\frac{1}{8})]\\S_{36}=18[19.25+4.375]\\S_{36}=18[23.625]\\S_{36}=425.25

First answer choice is right.


7 0
3 years ago
Read 2 more answers
How far above ground is the top of the pole?
Arisa [49]

Answer:

I would say about 7 feet and 1 inch

Step-by-step explanation:

8 0
3 years ago
125+25x = 50 I need a answer quickly ​
antoniya [11.8K]

Answer:

-3

Step-by-step explanation:

Subtract 25x             125=-25x+50

Subtract 50                125-50= -25x

Simplify                       75= -25x

Divided 75 by negatrive 25

8 0
3 years ago
Is it geometric or arithmetic? Why
Liula [17]

Answer: It is Geometric.

Step-by-step explanation: Because it does not have a fixed pattern that adds or subtract which arithmetic does.

7 0
2 years ago
PLEASE HELP
Nikolay [14]

Answer:

204,160,000

Step-by-step explanation:

Assuming the sample is a good representation of the people from the United States.

Since there were 1,000 surveyed... and 638 of them were wearing glasses,  that makes a proportion of 638 out of  1,000 people, or 63,8 / 100 people... so 63.8%... or 0.638

So, if we assume that the US population is of 320 million, how many people does that make wearing glasses.... we just have to multiply 320M by 0.638

G = 320,000,000 * 0.638 = 204,160,000

8 0
2 years ago
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