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yaroslaw [1]
3 years ago
10

3. Write an equation of a line that is perpendicular to the line x – 2y = 8.

Mathematics
1 answer:
xenn [34]3 years ago
7 0

Answer:

y=0.5x+40

Step-by-step explanation:

Copy the  equation.

x-2y=8

Subtract x from both sides.

-2y=-x-8

Divide both sides by -2.

y=0.5x+4

Now we know the slope is 0.5.

Any line with a slope of 0.5 will be perpendiculr to the original line.

One that you can use is y=0.5x+40.

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The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
Paraphin [41]

Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
2 years ago
Which of the following is NOT a requirement of testing a claim about a population proportion using a formal method of hypothesis
Pie

Answer:

A. The lowercase​ symbol, p, represents the probability of getting a test statistic at least as extreme as the one representing sample data and is needed to test the claim.

Step-by-step explanation:

The conditions  required for testing  of a claim about a population proportion using a formal method of hypothesis​ testing are:

1) The sample observations are a simple random sample.

2) The conditions for a binomial distribution are satisfied

3) The conditions np5 and nq5 are both satisfied. i.e n: p≥ 5and q≥ 5

These conditions are given in th options b,c and d.

Option A is not a condition for testing  of a claim about a population proportion using a formal method of hypothesis​ testing.

8 0
3 years ago
Write 66² as a product of its prime factors <br><br> Please ill award brainlist
mestny [16]

Answer:

11

Step-by-step explanation:

the image above explains it

8 0
2 years ago
If 40% of the total population of a particular town of 2500 are HIV positive. How many people are HIV negative.
katovenus [111]

Answer:

1500 people

Step-by-step explanation:

Since 40% are HIV positive (that's a lot of people), 60% will be HIV negative. All you have to do is find 60% of 2500.

60% of 2500 = 0.6 * 2500 = 6 * 250 = 1500

Hope this helps!

5 0
3 years ago
The side lengths of a triangle are 6, 8, and 12. Is this a right triangle?
gizmo_the_mogwai [7]
<h2><u>D.</u></h2><h3>It's incorrect, because 6 squared = 36, 8 squared = 64, add them together and you get 100. 12 squared does NOT equal 100, it equals 144.</h3>

<em>(To find the hypotenuse {longest side of the triangle}, you square the two short sides, add them together, and finally, divide it by the provided number, and see if the number matches the provided number's square.)</em>

<h3>Brainly if correct and Thanks!</h3>
8 0
3 years ago
Read 2 more answers
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