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bazaltina [42]
2 years ago
9

Question 1 (5 points)

Mathematics
1 answer:
Ivan2 years ago
6 0

Answer:

  f(6) ≈ 31

Step-by-step explanation:

If f(x) varies directly with x, we can write f(x) this way:

  f(x) = kx

Using the given values, we can find k:

  f(25) = k×25 = 130

  k = 130/25 = 5.2

Then for x = 6, we have ...

  f(x) = 5.2x

  f(6) = 5.2×6 = 31.2

Rounded to the nearest whole number, ...

  f(6) ≈ 31

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Use the distance formula from today’s lesson to find the distance between the point P(−2, 1) and the line y = 2x.
Serga [27]

Answer:

Distance from the point to the line will be \sqrt{5}m

Step-by-step explanation:

We have given the equation of the line is y = 2x\

So the equation of line will be y-2x = 0

Point from which we have to find the distance is (-2,1)

Distance from a point to line is given by d=\frac{Ax+By+C}{\sqrt{A^2+B^2}} , here A = -2 , B = 1 and C = 0

And point x = -2 and y = 1

So d=\frac{-2\times -2+1\times 1+0}{\sqrt{(-2)^2+1^2}}=\sqrt{5}m

So distance from the point to the line will be \sqrt{5}m

7 0
3 years ago
this week maddie worked 2 1/2 hours on monday, 2 2/3 hours on tuesday and 3 1/4 hours on wednesday. how many more hours will mad
ddd [48]
For this you will have to know how to add fractions. First of all i like to add the whole numbers together first, so 2+2+3= 7. so now what you have to do is add the fractions together. so    2/3 + 1/4 + 1/2 = ?   you will have to find a common denominator for 3, 4, and 2; which is 12.  Multiply each fraction by the needed number to get each denominator to 12. so 2/3 will be multiplied by 4, 1/4 will be multiplied by 3, and 1/2 will be multiplied by 6. The new equation and answer will be:   8/12 + 3/12 + 6/12 = 17/12. 17/12 as a mixed fraction is 1 5/12. now we add 1 5/12 and 7 to equal 8 5/12.  and then you will have to subtract this from 10, using common denominators and such to get your final answer of  2 1/12.   (sorry for the long spiel on how to do this question)
7 0
3 years ago
In a valid probability distribution, each probability must be between 0 and 1, inclusive, and the probabilities must add up to 1
lora16 [44]

The value of x is 1/5

Step-by-step explanation:

In a probability distribution, probability should be between 0  and 1. The probabilities add up to one.

Given probabilities are:

\frac{1}{10}, \frac{1}{5}, \frac{1}{2}, x

The sum of these probabilities will be equal to 1.

So,

To find x,

\frac{1}{10}+\frac{1}{5}+\frac{1}{2}+x = 1\\\frac{1+2+5}{10}+x=1\\\frac{8}{10}+x=1\\x= 1- \frac{8}{10}\\x = 1- \frac{4}{5}\\x= \frac{5-4}{5}\\x=\frac{1}{5}

The value of x is 1/5

Keywords: Probability, Distribution

Learn more about probability at:

  • brainly.com/question/2821386
  • brainly.com/question/2860697

#LearnwithBrainly

7 0
3 years ago
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Help me. what is the answer. what is the equation of the line shown?
Sholpan [36]
Peepee !!!! LOL pee pee
4 0
3 years ago
The number of species of coastal dune plants in australia decreases as the latitude, in °s, increases. There are 34 species at 1
Bas_tet [7]

We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.

Further we know that there are 34 species at 11°s and 26 species at 44°s.

We can express the given information at two ordered pairs as shown below:

(n,l)=(11,34)\text{ and }(n,l)=(44,26)

Let us find slope of the line through these points:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{26-34}{44-11}=\frac{-8}{33}=-0.2424

Therefore, we can write the equation of line in slope intercept form as:

n=-0.2424l+b

Where b is the y intercept, and we can find its value using one of the two points.

34=-0.2424(11)+b\\34=-2.67+b\\b=34+2.67=36.67

Therefore, the required equation of the linear function is:

n=-0.2424l+36.67

4 0
3 years ago
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