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tangare [24]
3 years ago
13

Consider the arithmetic sequence where the 12th term is 41 and the 4th term is 1. a. Find the formula of the nthterm of the sequ

ence. b. Find the sum of the first 20 terms.
Mathematics
1 answer:
svlad2 [7]3 years ago
3 0
The common difference is 6. The first term is x−d=37−6=31.
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Rewrite the following equation in exponential form. log^5 25=2​
Alina [70]

logb(x) = y is equivalent to b^y =x

y = 2

b = 5

x = 25

Substitute the values to get 5^2 = 25

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Earth contains water and oxygen molecules. Each mass is given below. Which has the greater mass? Explain how you know. water equ
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Translate into an algebraic expression and simplify if possible.
Dennis_Churaev [7]

Answer:

2a + 10

Step-by-step explanation:

the number =  2(a + 5)

= 2a + 10

8 0
3 years ago
What is the formula for the confidence interval? Then, define what each variable represents.
Alisiya [41]
The confidence interval for a <span>(1−α)%</span> confidence level is given by
<span>
(<span>θ0</span>−<span>Z<span>α/2 </span></span><span>σ/√n</span>, <span>θ0</span>+<span>Z<span>α/2 </span></span><span>σ/√n</span>)

</span><span>θ0</span> is the measured statistic, <span>Z<span>α/2</span></span> is the cutoff/critical value, and <span>σ/<span>√n</span></span> is the standard error. σ is the population standard deviation (if known) or can be estimated by a sample standard deviation. n is the sample size. The cutoff value depends on the test you wish to use, and <span>θ0</span><span> depends on the statistic you wish to estimate.</span>
7 0
3 years ago
Which of the following expressions is equivalent to?
gayaneshka [121]

Answer:  

It's the last choice:  2x^2 - 5x - 8 - 37/(x - 5).

Step-by-step explanation:

Long division:

        2x^2 - 5x -8    <---------------Quotient

        ---------------------------------

x - 5 ) 2x^3 - 15x^2 + 17x + 3

          2x^3 - 10x^2

                     - 5x^2 + 17x

                     - 5x^2  + 25x

                                   - 8x + 3

                                   - 8x + 40

                                           -37 <------ Remainder.

7 0
3 years ago
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