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krek1111 [17]
3 years ago
13

How to express this to a single logarithm

Mathematics
1 answer:
Alona [7]3 years ago
6 0
9logbase6zxy

Rules of logs is that when you add logarithms together you’re really multiplying.

Hope this helps!
You might be interested in
Carson needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fe
Naily [24]

Answer:

The y-intercept of the equation is 100 and represents the initial studio-use fee.

Step-by-step explanation:

In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.

Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.

P = 50(0) + 100

P = 100

Therefore the y-intercept is 100.

In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.

Hope this helped!

5 0
4 years ago
Sam drinks water at an incredible rate. She drinks 2 1/5 liters of water every 3/4 of an hour. Sam drinks water at a constant ra
lora16 [44]

Answer:

2.9 litres

or

2 14/15 litres

Step-by-step explanation:

To determine the amount of water Sam drinks in an hour, divide the total amount drunk by the number of hours

Amount drank in an hour = total litres drunk / time

2\frac{1}{5} ÷ \frac{3}{4}

\frac{11}{5} × \frac{4}{3} = \frac{44}{15} = 2\frac{14}{15} litres

7 0
3 years ago
Haley is twice as old as Riley. The sum of their ages is 39. Write an equation that represents (x) , Riley's age.
kenny6666 [7]

Answer:

X=39×2. Answer: 39×2= 78

6 0
3 years ago
Read 2 more answers
What 5 numbers that round to 360 when rounded to the nearest 10
Fantom [35]
The 5 number that would round to 360 are 359,358,357,356, and 355 would all round up to 360 and 361,362,363,364 would all round down to 360
7 0
3 years ago
I would like to know what 1.34 as a fraction in simplest form would be
Paha777 [63]
1.34 = 1 \dfrac{34}{100} = 1 \dfrac{34 \div 2}{100 \div 2} = 1 \dfrac{17}{50}





-------- Edited to include more explanation --------------

1.34 = 1 whole 34 hundredth 

\text { 1 whole 34 hundredth written as a fraction =} 1 \dfrac{34}{100}

Then we simplified it by dividing the numerator and the denominator by 2:

1 \dfrac{34}{100}  = 1 \dfrac{34 \div 2}{100 \div 2}

34 divided by 2 will give us 17 and 100 divided by 2 will give us 50:

1 \dfrac{34 \div 2}{100 \div 2} = 1 \dfrac{17}{50}
6 0
3 years ago
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