Given the point (3,4) the slope of 6, find y, when x=27

Mathematics

1 answer:

vitfil [10]3 years ago

6 0

Answer:

y = 148

Step-by-step explanation:

First, we use the point-slope form of the equation of a line to find the equation of this line.

y - y1 = m(x - x1)

y - 4 = 6(x - 3)

y - 4 = 6x - 18

y = 6x - 14

Now we let x = 27 and find y.

y = 6(27) - 14

y = 162 - 14

y = 148

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A softball team has 12 girls on it. The coach needs to arrange 9 girls for the batting order. If the lineup is selected at rando

katovenus [111]

Answer: P = 1/12 = 0.083

Step-by-step explanation:

Out of the 12 girls, there will be only one that is the lead-off batter.

we can assume that this is the first being selected at random, then the probability that you will be the lead-off batter, is equal to the quotient between 1 (the outcome where you are selected) and 12 (the total number of outcomes)

Then the probability is:

P = 1/12 = 0.083

The fact that there will be an arrange of only 9 girls does not affect the probability of you getting the position of the lead-off batter.

5 0

3 years ago

Pls,pls,pls,help me I will give lots of pound 100+ points

Bond [772]

Answer:

3log(10) -2log(5) ≈ 1.60206
no; rules of logs apply to any base. ln(x) ≈ 2.302585×log(x)
no; the given "property" is nonsense

Step-by-step explanation:

The given expression expression can be simplified to ...

3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)

= log(1000/25) = log(40) . . . . ≠ log(5)

≈ 1.60206

Or, it can be evaluated directly:

= 3(1) -2(0.69897) = 3 -1.39794

= 1.60206

The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...

ln(x) = log(x)/log(e) ≈ 2.302585·log(x)

The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:

$\log(a)\log(b)=\log(a^{\log(b)})=\log(b^{\log(a)})$