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iren [92.7K]
3 years ago
9

Temperatures in f can be converted in c using the formula c=5(f-32)/9

Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Start with

c=\dfrac{5(f-32)}{9}

Multiply both sides by 9:

9c=5(f-32)

Divide both sides by 5:

\dfrac{9c}{5}=f-32

Add 32 to both sides:

\dfrac{9c}{5}+32=f

The lack of parenthesis makes it hard for me to understand what you mean with aC+b/c, since it could be both

aC+\dfrac{b}{c}

or

\dfrac{aC+b}{c}

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Find the domain of the following expression 15 - √(x+2)
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Answer:

[-2, ∞]

Step-by-step explanation:

15 - √(x+2)

domain is any value as long as (x+2) is not-negative, since √ of a negative number has no Real solution.

x+2 ≥ 0 ⇒ x ≥ -2

6 0
2 years ago
Let y = 3t + 6 be a linear function representing the distance from home for an ant t minutes after starting out from a location
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C) the ant is crawling at 3 ft per minute 
because 3 shows the rate of moving on the graph and the 6 shows where you started from 
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4 0
3 years ago
2x-7/3-5x+4/5=-x-4/30
Strike441 [17]

Answer:

Exact form: -7/10

Decimal form: -0.7

Step-by-step explanation:

Isolate the variable by dividing each side by by factors that don't contain the variable.

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Remove the brackets and simplfy 5-(6a -3b -8)​
galina1969 [7]

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−6a+3b+13

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The devi
Leokris [45]

Answer:

If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

s = \sqrt{\dfrac{875.5}{7}} = 11.18

\text{ Sample variance} = s^2 = 125.07

Population:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46

\text{ Population variance} = \sigma^2 = 109.44

7 0
3 years ago
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