Find the measure of the angle labeled a in the diagram below

Mathematics

1 answer:

gogolik [260]3 years ago

7 0

Where is the diagram.

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The prevalence of cigarette smoking in the united states is in decline if the percentage of smokers in 2014 was 16.7% and the pe

astraxan [27]

The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:

$a(n) = -5.6n + 16.7$

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.

In this problem:

The percentage of smokers in 2014 was 16.7%, hence the initial value is $b = 16.7$

The percentage is decreasing by 5.6% each year, hence the slope is $m = -5.6$ .

Then, the <em>equation </em>is:

$y = mx + b$

$a(n) = -5.6n + 16.7$

You can learn more about linear functions at brainly.com/question/24808124

7 0

3 years ago

What are the potential solutions to the equation 2ln(x+3)=0

skad [1K]

$2\ln(x+3)=0\implies \ln(x+3)^2=0\implies e^{\ln(x+3)^2}=e^0\implies (x+3)^2=1$

Expanding the left side gives

$x^2+6x+9=1\implies x^2+6x+8=0\implies (x+4)(x+2)=0$

which gives two solutions, $x=-4$ and $x=-2$ . But if $x=-4$ , then $\ln(x+3)=\ln(-1)$ , but this number isn't real, so $x=-4$ is an extraneous solution. Meanwhile if $x=-2$ , you get $\ln(-2+3)=\ln1=0$ , so this solution is correct.

"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.

4 0

4 years ago

Read 2 more answers

253 students went on a field trip. Six

iris [78.8K]

Answer:38

Step-by-step explanation:

if there were 253 children and 6 buses and f 25 children had to go by car then,

253-25=228

228/6=38

3 0

4 years ago