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zalisa [80]
3 years ago
13

Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linear r

egression equation for the data to be y = 9.6x + 65.8. What does the 9.6 mean in the context of this equation?
Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:


Step-by-step explanation:

In order to answer this problem, let us assume that x is the number of hours (the independent variable) and y is the score obtained (the dependent variable). The value 65.8 is the y-intercept which means that we will get y = 65.8 if x is equal to zero. This means that 65.8 is the score that one can get if he does not study at all.


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First question, thanks. I believe there should be 3 answers
zysi [14]

Given: The following functions

A)cos^2\theta=sin^2\theta-1B)sin\theta=\frac{1}{csc\theta}\begin{gathered} C)sec\theta=\frac{1}{cot\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}

To Determine: The trigonometry identities given in the functions

Solution

Verify each of the given function

\begin{gathered} cos^2\theta=sin^2\theta-1 \\ Note\text{ that} \\ sin^2\theta+cos^2\theta=1 \\ cos^2\theta=1-sin^2\theta \\ Therefore \\ cos^2\theta sin^2\theta-1,NOT\text{ }IDENTITIES \end{gathered}

B

\begin{gathered} sin\theta=\frac{1}{csc\theta} \\ Note\text{ that} \\ csc\theta=\frac{1}{sin\theta} \\ sin\theta\times csc\theta=1 \\ sin\theta=\frac{1}{csc\theta} \\ Therefore \\ sin\theta=\frac{1}{csc\theta},is\text{ an identities} \end{gathered}

C

\begin{gathered} sec\theta=\frac{1}{cot\theta} \\ note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ tan\theta cot\theta=1 \\ tan\theta=\frac{1}{cot\theta} \\ Therefore, \\ sec\theta\ne\frac{1}{cot\theta},NOT\text{ IDENTITY} \end{gathered}

D

\begin{gathered} cot\theta=\frac{cos\theta}{sin\theta} \\ Note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ cot\theta=1\div tan\theta \\ tan\theta=\frac{sin\theta}{cos\theta} \\ So, \\ cot\theta=1\div\frac{sin\theta}{cos\theta} \\ cot\theta=1\times\frac{cos\theta}{sin\theta} \\ cot\theta=\frac{cos\theta}{sin\theta} \\ Therefore \\ cot\theta=\frac{cos\theta}{sin\theta},is\text{ an Identity} \end{gathered}

E

\begin{gathered} 1+cot^2\theta=csc^2\theta \\ csc^2\theta-cot^2\theta=1 \\ csc^2\theta=\frac{1}{sin^2\theta} \\ cot^2\theta=\frac{cos^2\theta}{sin^2\theta} \\ So, \\ \frac{1}{sin^2\theta}-\frac{cos^2\theta}{sin^2\theta} \\ \frac{1-cos^2\theta}{sin^2\theta} \\ Note, \\ cos^2\theta+sin^2\theta=1 \\ sin^2\theta=1-cos^2\theta \\ So, \\ \frac{1-cos^2\theta}{sin^2\theta}=\frac{sin^2\theta}{sin^2\theta}=1 \\ Therefore \\ 1+cot^2\theta=csc^2\theta,\text{ is an Identity} \end{gathered}

Hence, the following are identities

\begin{gathered} B)sin\theta=\frac{1}{csc\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}

The marked are the trigonometric identities

3 0
1 year ago
Please help. Thank you.
Ivenika [448]
There are 24 Faces. 
bc-
 V = 14,  E = 36,  F = ?
F + 14 - 36 = 2
F - 22 = 2
F = 24
8 0
3 years ago
All I want is advice, THAT's IT! - easy points!
tankabanditka [31]
Trigonometry is what I would pick 

6 0
2 years ago
Read 2 more answers
On October 1, 2017, Wildhorse Co. places a new asset into service. The cost of the asset is $92000 with an estimated 5-year life
WARRIOR [948]
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8 0
3 years ago
Samantha plays a trivia game. She earns 3 points for each
maxonik [38]

Answer:

33/36

Step-by-step explanation:

take 0.75 x 4 = 3

then take

11 x 3 = 33

total score = 36

36 - 3 = 33

so the answer is 33/36

8 0
3 years ago
Read 2 more answers
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