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zimovet [89]
3 years ago
15

Rewrite in logarithmic form 19^2 = 361

Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

  \log_{19}{361}=2

Step-by-step explanation:

We know that taking logarithms performs the transformation ...

  b^e=x\\\\e\cdot\log{b}=\log{x}\quad\text{take logs}\\\\e=\dfrac{\log{x}}{\log{b}}\quad\text{divide by $\log{b}$}\\\\\log_b{x}=e\quad\text{use the change of base formula}

Then for b=19, e=2, x=361, we have

  \boxed{\log_{19}{361}=2}

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PEOPLE WHO ARE GOOD AT MATH CAN YOU PLEASE HELP ME!!!
OlgaM077 [116]

The cost of using 19 HCF of water is $32.49

Given in the question:

The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)

The cost for using 17 HCF of water is using $32.13

and, the cost of using 35 HCF is $61.83.

To find the cost of using 19 HCF of water.

Now, According to the question:

The cost for using 17 HCF of water is  $32.13

and, the cost of using 35 HCF is $61.83.

To find the slope:

(17, 32.13) and (35, 61.83)

Slope = (61.83 - 32.13)/ (35 - 17) = 1.65

We know that:

Formula of slope :

y = mx + b

32.13 = 1.65 x 17 + b

b = 1.14

The equation will be :

C(x) = 1.65x + 1.14

Now, To find the cost of using 19 HCF of water.

C(19) = 1.65 × 19  + 1.14

C(19) = $32.49

Hence,  the cost of using 19 HCF of water is $32.49.

Learn more about Slopes at:

brainly.com/question/3605446

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6 0
1 year ago
Which survey is most likely affected by bias?
AveGali [126]
In my opinion, I would say it’s b
8 0
3 years ago
Read 2 more answers
7.A pattern has 14 blue triangles to every 18 yellow triangles. What is the ratio of yellow triangles to blue triangles?
Setler79 [48]

Answer:

9:7.

Step-by-step explanation:

14 blue triangles and 18 yellow triangles,

The LCM of them both is 2 so we can divide both of the numbers by 2.

14 divided by 2 = 7

18 divided by 2 = 9

Since they asked for the ratio of <u><em>yellow triangles to blue triangles</em></u>,

The answer will be <em><u>9:7</u></em>.

Hope that helps. x

6 0
2 years ago
Team Alpha had one fourth as many people as team Beta. After 6 people quit team Beta and 12 people were transferred to team Alph
gregori [183]
Let "a" and "b" represent the numbers of people on teams Alpha and Beta, respectively. The problem statement tells you
  a = (1/4)b
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The first equation can be rewritten to give an expresion for b:
  b = 4a
This can be substituted into the second equation to get
  4a -18 = a +12
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There were originally 10 people on team Alpha.
6 0
3 years ago
Which is bigger 30% of £450 or 4/5 of £300?
Dima020 [189]
4/5 of 300= 80% of 300= 240

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30% of 450<4/5 of 300
7 0
3 years ago
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