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Maurinko [17]
3 years ago
10

Solve for x. 4^(×-1)=1​

Mathematics
1 answer:
steposvetlana [31]3 years ago
8 0

Answer:

4^{\left(x-1\right)}=1

\Rightarrow\left(x-1\right)\ln \left(4\right)=\ln \left(1\right)

\hookrightarrow x=1

❅❅❅❅❅❅❅❅❅❅

OAmalOHopeO

❅❅❅❅❅❅❅❅❅❅

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3 years ago
Can someone explain what geometric sequences are?
Fed [463]

Explanation:

A sequence is a list of numbers.

A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.

<u>Examples</u>

  • 1, 2, 4, 8, ... common ratio is 2
  • 27, 9, 3, 1, ... common ratio is 1/3
  • 6, -24, 96, -384, ... common ratio is -4

___

<u>General Term</u>

Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...

  a(n) = a(1)×r^(n-1) . . . . . n-th term of a geometric sequence

where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...

  • a(n) = 2^(n -1)
  • a(n) = 27×(1/3)^(n -1)
  • a(n) = 6×(-4)^(n -1)

You can see that these formulas are exponential in nature.

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<u>Sum of Terms</u>

Another useful formula for geometric sequences is the formula for the sum of n terms.

  S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence

When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...

  S = a(1)/(1-r)

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3 years ago
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The maximum value of the sin function is at \dfrac{\pi}{2}, when sin is equal to 1. Since you need to multiply pi/12 by 6 to get to pi/2, the maximum amount of people will be at the square after 6 hours. Hope this helps!

4 0
3 years ago
Find the mode of the data set: 37, 42, 39, 44, 47, 38, 42, 45, 49, 35
Snezhnost [94]

Answer:

42

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Read 2 more answers
What is the y-intercept of the line given by the equation below? Enter your answer as an ordered pair.
max2010maxim [7]

The y intercept of given equation y = 2x + 10 is (0, 10)

<em><u>Solution:</u></em>

Given equation of line is:

y = 2x + 10

<em><u>To find: y intercept of the line</u></em>

The point where a line or curve crosses the y-axis of a graph is y intercept

<em><u>Finding y - intercept:</u></em>

To find the y-intercept, plug 0 in for 'x' and solve for 'y'

<em><u>Substitute x = 0 in given equation</u></em>

y = 2(0) + 10

y = 0 + 10

y = 10

Thus the y intercept of given equation is (0, 10)

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3 years ago
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