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2 years ago

A survey of students in the junior class at Avery's high school provided the following information:

1 answer:

5 0

Avery can explain to her school principal that 85% of juniors think there is a lot of homework because several indicators have increased.

<h3>What is an indicator?</h3>

An indicator is a datum that is taken as a reference to analyze the evolution or change of a fact over time. In this case, the indicators would be:

Weekly hours used to do homework
Number of students with work for after school.

According to the information, it can be inferred that 85% of Junior students consider that there is an increase in homework because there were the following changes compared to last year:

Increase in hours spent on after school homework, last year the average was 5 hours, this year it is 8 hours.
Increase in the number of students with after school jobs, last year it was 135 students, this year it is 215 students.

From the foregoing, it can be inferred that the number of homework has increased in Junior students and that is why now 85% of them consider that homework has increased.

Learn more about indicator in: brainly.com/question/20264817

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Find all solutions of the equation: 2cos^2x-cosx=1

Art [367]

If you're using the app, try seeing this answer through your browser: brainly.com/question/3166243

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Solve the trigonometric equation:

$\mathsf{2\,cos^2\,x-cos\,x=1}\\\\ \mathsf{2\,cos^2\,x-cos\,x-1=0}$

Make a substitution:

$\mathsf{cos\,x=t\qquad (-1\le t\le 1)}$

and the equation becomes

$\mathsf{2t^2-t-1=0}$

Rewrite conveniently – t as + t – 2t, and then factor the left-hand side by grouping:

$\mathsf{2t^2+t-2t-1=0}\\\\ \mathsf{t\cdot (2t+1)-1\cdot (2t+1)=0}$

Factor out 2t + 1:

$\mathsf{(2t+1)\cdot (t-1)=0}\\\\ \begin{array}{rcl} \mathsf{2t+1=0}&~\textsf{ or }~&\mathsf{t-1=0}\\\\ \mathsf{2t=1}&~\textsf{ or }~&\mathsf{t=1}\\\\ \mathsf{t=\dfrac{\,1\,}{2}}&~\textsf{ or }~&\mathsf{t=1} \end{array}$

Substitute back for t = cos x:

$\begin{array}{rcl}\mathsf{cos\,x=\dfrac{\,1\,}{2}}&~\textsf{ or }~&\mathsf{cos\,x=1}\\\\ \mathsf{cos\,x=cos\,60^\circ}&~\textsf{ or }~&\mathsf{cos\,x=cos\,0} \end{array}$

Therefore,

$\begin{array}{rcl} \mathsf{x=\pm\,60^\circ+k\cdot 360^\circ}&~\textsf{ or }~&\mathsf{cos\,x=0+k\cdot 360^\circ} \end{array}$

where k is an integer.

Solution set:

$\mathsf{S=\left\{x\in\mathbb{R}:~~x=-\,60^\circ+k\cdot 360^\circ~~or~~x=60^\circ+k\cdot 360^\circ~~or~~x=k\cdot 360^\circ,~~k\in\mathbb{Z}\right\}}$

I hope this helps. =)

3 0

3 years ago

And ice cream factory makes 190 quarts of ice cream in five hours how many quarts could be made in 36 hours what was the rate pe

levacccp [35]

190/5 = 38

So, they can make 38 quarts in an hour.

38 * 36 = 1,368

They can make 1,368 quarts in 36 hours.

3 0

3 years ago

i need help on this problem i know how to do this types of problem but i dont get this problem i need hep thank you

Sever21 [200]

Answer:

B: 72

Step-by-step explanation:

Split the shape into separate rectangles! It will make the problem much easier. You can split it so that you will have a 12 x 3 rectangle and a 6 x 6 rectangle because you subtract 3 from 9 and subtract 6 from 12.

12 x 3 = 36

6 x 6 = 36

36 + 36 = 72

Let me know if you're still confused!

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3 years ago

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Compare 5/8 1/3<br> (A) =<br> (B)><br> (C)< <br> (D)none of the above

Sav [38]

Answer:

5/8 > 1/3

so the answer is B >

Step-by-step explanation:

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3 years ago

Identify all the sets to which 0.41567 belongs. Choose from rational,irrational,whole,and integer

jok3333 [9.3K]

0.41567 is:

... rational because it can be expressed as a fraction (e.g., 41567/100000)
... not irrational for the same reason
... not whole (obviously)
... not integer (obviously)

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3 years ago

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