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adoni [48]
3 years ago
11

This is a timed thing so I need this quick plz

Mathematics
1 answer:
Lady_Fox [76]3 years ago
6 0

The correct answer is a.

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Give the first ten terms of the following sequences. You can assume that the sequences start with an index of 1. Logs are to bas
Vitek1552 [10]

Answer:

a)

a1 = log(1) = 0 (2⁰ = 1)

a2 = log(2) = 1 (2¹ = 2)

a3 = log(3) = ln(3)/ln(2) = 1.098/0.693 = 1.5849

a4 = log(4) = 2 (2² = 4)

a5 = log(5) = ln(5)/ln(2) = 1.610/0.693 = 2.322

a6 = log(6) = log(3*2) = log(3)+log(2) = 1.5849+1 = 2.5849 (here I use the property log(a*b) = log(a)+log(b)

a7 = log(7) = ln(7)/ln(2) = 1.9459/0.6932 = 2.807

a8 = log(8) = 3 (2³ = 8)

a9 = log(9) = log(3²) = 2*log(3) = 2*1.5849 = 3.1699 (I use the property log(a^k) = k*log(a) )

a10 = log(10) = log(2*5) = log(2)+log(5) = 1+ 2.322= 3.322

b) I can take the results of log n we previously computed above to calculate 2^log(n), however the idea of this exercise is to learn about the definition of log_2:

log(x) is the number L such that 2^L = x. Therefore 2^log(n) = n if we take the log in base 2. This means that

a1 = 1

a2 = 2

a3 = 3

a4 = 4

a5 = 5

a6 = 6

a7 = 7

a8 = 8

a9 = 9

a10 = 10

I hope this works for you!!

3 0
2 years ago
Louis is saving money for a car, he invests $1,200 in an account that pays an interest rate of 7.5%. How many years will it take
Artist 52 [7]

Answer: n + d = 30

0.05n + 0.10d = 2.20

^^ ur system of equations

Step-by-step explanation:

3 0
3 years ago
Find a formula for the described function. A rectangle has perimeter 16 m. Express the area A of the rectangle as a function of
Alex17521 [72]
Part A:

Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.

Let the length of the other side be x, then

2(L+x)=16 \\  \\ \Rightarrow L+x=8 \\  \\ \Rightarrow x=8-L

Thus, if the length of one of the side is x, the length of the other side is 8 - L.

Hence, the area of the rectangle in terms of L is given by

L(8 - L) = 8L-L^2



Part B:

To find the domain of A

Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.

Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.

Hence the domain of the area are the set of values between 0 and 8 not inclusive.

Therefore,

dom(Area)=0\ \textless \ L\ \textless \ 8 \ or \ (0, 8)
3 0
3 years ago
A rectangle is 25 feet long.Its area is 375 square feet. What is the width of the rectangle?
frosja888 [35]

To find the width, divide the area by the length.

Width = 375 / 25

Width = 15 feet.

6 0
3 years ago
Read 2 more answers
Combime like terms to create an equivalent expression -2.5(4x-3)​
Ann [662]

Answer: -10x+7.5

Step-by-step explanation:

First multiply -2.5(4x)= -10x and then -2.5x-3= 7.5 it should be -10x+7.5

3 0
3 years ago
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