MATHEMATICS HIGH SCHOOL

Describe an infinite geometric series with a beginning value of 2 that converges to 10. What are the first 4 terms of the series

Answers

Answer 1

Answer:

Answer with Explanation:

It is given that infinite geometric series with a beginning value of 2 , converges to 10.

Let a be the common ratio of geometric series.Where ,a<1.

Sum to infinity of a geometric series

$(a)/(1-r) for, r<1 or (a)/(r-1), for r>1.$

$2+2a+2a^2+2a^3+2a^4+.............{\text{to infinity}}=10\n\n (2)/(1-a)=10\n\n 1-a=(2)/(10)\n\n 1-(1)/(5)=a\n\na=(4)/(5)$

First four terms of geometric series

$2, 2*(4)/(5),2*((4)/(5))^2,2*((4)/(5))^3,2*((4)/(5))^4.\n\n2, (8)/(5),(32)/(25),(128)/(125),(512)/(625)$

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if n is a positive integer, for what values of n is the function f(x) =x to the power of n

a) even

b) odd

Answers

$f(x)=x^n;\ n\in\mathbb{Z^+}\n\n function\ is\ even\ when\ f(-x)=f(x)\n\nfunction\ is\ odd\ when\ f(-x)=-f(x)\n\na)\ f(x)\ is\ even\ when\ n\ is\ even:f(-x)=(-x)^n=x^n=f(x)\n\nb)\ f(x)\ is\ odd\ when\ n\ is\ odd:f(-x)=(-x)^n=-x^n=-f(x)$

a) n is even
b) n is odd

A homemade lip balm consists of coconut oil and beeswax. Coconut oil costs $0.50 per ounce and beeswax costs $2.00 per ounce. If 6 ounces of coconut oil and 5 ounces of beeswax are used to create the lip balm mixture, which values represent a and b in the table?

Answers

Answer:

The answer is:

1. 3.00

2. 10.00

Hope this helps!!! :)

Same. the question needs more informion

Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linear relationship between the total cost of belonging to a club and the number of months that you are a member. Each club charges monthly dues, and some clubs require new members to also pay a one-time membership fee. The total costs of being a member for 6 months, 12 months, and 24 months at each of three clubs are shown in the table. Total Cost of Fitness Club Membership Length of membership Club 1 Club 2 Club 3 6 months $108 $150 $126 12 months $216 $210 $252 24 months $432 $390 $504 How many of the clubs require new members to pay a one-time membership fee? 0 1 2 3

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Answer:

Step-by-step explanation:

678

Normal Distribution quiz?The total area under the curve is _________.

4

3

2

1

Answers

Area under ALL probability distribution curves is 1.0, because all possible outcomes are taken into account.

Final answer:

The total area under the curve of a Normal Distribution in Statistics is equal to 1, representing the entirety of the probability for all possible outcomes.

Explanation:

In the field of Statistics, when working with a Normal Distribution, the total area under the curve is equal to 1. This concept is crucially important as it represents the entirety of the probability for all possible outcomes, which in a Normal Distribution should amount to 100% or '1' when expressed as a decimal. The values on the x-axis represent the outcomes and the area under the curve for a given range represents the probability of outcomes in that range.

The curve of a Normal Distribution is symmetric, meaning half of the total area (0.5) is to the left of the mean and the other half (0.5) is to the right of the mean.