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babunello [35]
2 years ago
13

Julie drinks 4 bottles of water every day. How many

Mathematics
2 answers:
Lunna [17]2 years ago
7 0

Answer:

28 bottles

Step-by-step explanation:

7 days in a week, multiply 4 by 7 and you get 28.

Lorico [155]2 years ago
4 0

Answer:

28 bottles

Step-by-step explanation:

4 bottles per day, 7 days a week.

4 x 7 = 28 bottles

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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
Simplify the given equation.
xxMikexx [17]
When simplified,letter A will be your answer.
4-7x=15
6 0
3 years ago
5/4 to 3/8 as a percent change
Digiron [165]
Well, what's the diffrence from 5/4 to 3/8?

\bf \cfrac{5}{4}-\cfrac{3}{8}\qquad \stackrel{\textit{LCD is 8 clearly}}{\implies }\qquad \cfrac{10-3}{8}\implies \cfrac{7}{8}

so, if we take 5/4 to be the 100%, what is 7/8 off of it in percentage anyway?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{5}{4}&100\\\\
\frac{7}{8}&x
\end{array}\implies \cfrac{\quad \frac{5}{4}\quad }{\frac{7}{8}}=\cfrac{100}{x}\implies \cfrac{5}{4}\cdot \cfrac{8}{7}=\cfrac{100}{x}
\\\\\\
\cfrac{40}{28}=\cfrac{100}{x}\implies x=\cfrac{28\cdot 100}{40}
5 0
3 years ago
Find the circumference of the circle in terms of <img src="https://tex.z-dn.net/?f=%20%5Cpi%20" id="TexFormula1" title=" \pi " a
Tanya [424]
D. 78pi in
Do you need an explanation?
4 0
2 years ago
Which rational number equals 0 point 2 with bar over 2? 1 over 10 1 over 9 2 over 10 2 over 9
Alja [10]

Answer:

0.\bar2=\frac{2}{9}

Step-by-step explanation:

We want to find the rational number which is equal to 0.\bar2.

Let y=0.\bar2....eqn(1)

Multiply both sides by 10

10y=2.\bar2.....eqn (2)

Subtract eqn (1) from eqn (2)

10y-y=2.\bar2-0.\bar2

\implies 9y=2

Divide both sides by 9.

\implies y=\frac{2}{9}

4 0
3 years ago
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