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worty [1.4K]
4 years ago
6

2loge3 + loge x - loge2 = loge3 Solve for x

Mathematics
1 answer:
Readme [11.4K]4 years ago
7 0
2\ln 3+\ln x-\ln 2=\ln 3\\
\ln x=-\ln 3+\ln 2\\
\ln x=\ln \dfrac{1}{3}+\ln 2\\
\ln x=\ln \dfrac{2}{3}\\
x=\dfrac{2}{3}
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DJ Giovanni is making a playlist for a friend; he is trying to decide what 12 songs to play and in what order they should be pla
Elena L [17]

Answer:

5.78×10¹⁵

Step-by-step explanation:

The playlist has 12 songs, and he wants the same number of songs for each genre, so he must pick 4 songs per genre.

The number of ways he can choose 4 country songs (ignoring the order) is ₂₂C₄ = 7315.

The number of ways he can choose 4 reggae songs (ignoring the order) is ₁₁C₄ = 330.

The number of ways he can choose 4 pop songs (ignoring the order) is ₅C₄ = 5.

The total number of combinations is 7315 × 330 × 5 = 1.21×10⁷.

Once he has his 12 songs selected, the number of ways he can arrange them is ₁₂P₁₂ = 12! = 4.79×10⁸.

So the total number of possible playlists is:

(1.21×10⁷) × (4.79×10⁸) = 5.78×10¹⁵

4 0
4 years ago
7. Sarah bought a lawnmower for $320. She signed up for the buy now pay later plan at the store with the following conditions: $
erastova [34]
Amount financed
320−100=220

Total paid
100+25×12=400

Interest paid
400−320=80

Interest rate=(2yc)÷(m (n+1))
I=(2×12×80)÷(220 (12+1))
I=(2×12×80)÷(220×13)
I=0.67×100
I=67%
4 0
4 years ago
Read 2 more answers
PLEASE HELP ME I BEG OF YOU IF YOU HELP ME I WILL GIVE YOU BRAINTLIEST"Julie goes to the sports store and spends $40.50 before t
Pie

Answer:

6.25

Step-by-step explanation:

Plz give me brainleist like u said.

3 0
3 years ago
Use the distributive property to write the expression without parentheses -(5y + 6)
dimulka [17.4K]

Answer:

-5y -6

Step-by-step explanation:

7 0
3 years ago
What is the equation of the line that passes through the point (−1,−3) and has a slope of 3?
Tanya [424]

Answer:

y= 3x

Step-by-step explanation:

The slope is just read. It is 3. It is the value of m in the general equation.

y = mx + b

y = 3x + b

To find b, use (-1,-3)

x = -1

y = -3                  Substitute into the general equation

-3 = 3(-1) + b       Simplify the right side

-3 = -3 + b          Subtract -3 from both sides

b = 0

Answer: y = 3x

7 0
3 years ago
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