1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Phantasy [73]
2 years ago
14

(BEGINNER LEVEL, Picture provided) Use the line of best fit to predict the total amount of money earned in tips after working 12

hours

Mathematics
2 answers:
Anni [7]2 years ago
6 0
It is 110

Slope of the line is 10x So you will earn 110$ in 12 hours.
lesya692 [45]2 years ago
4 0

Answer:

Option C is correct

$120

Step-by-step explanation:

The equation of best line is given by:

y=mx+b          ....[1]

where, y represents the total amount of money earned in tip after x hours,  m is the slope and b is the y-intercept.

As per the statement:

From the graph:

Two points are:

(2, 20) and (8, 80)

Formula for slope(m) is given by:

m = \frac{y_2-y_1}{x_2-x_1}

then;

m = \frac{80-20}{8-2}=\frac{60}{6}=10

⇒m = 10

Substitute in [1] we have;

y = 10x+b

Also , substitute the point (2, 20) to find b;

20= 10(2)+b

⇒20=20+b

Subtract 20 from both sides we have;

⇒0 = b

or

b = 0

Then, we get the equation:

y=10x

We have to find total amount of money earned in tips after working 12 hours.

⇒x = 12 hours

then;

y=10(12) =120

Therefore, the total amount of money earned in tips after working 12 hours is, $120

You might be interested in
If Sally earned $630 in interest when investing $1200 at a rate of 15% per year, how many years have passed?
jasenka [17]
630/1200*0.15=3.5.........
5 0
3 years ago
A new bagel store opened. The first day 15 customers entered the store. The number of customers that enter the store triples eac
Lelu [443]

Answer: it triples by 3 so 15,45, 135

Step-by-step explanation: this is by 3 because it goes on by 15,45,135

3 0
2 years ago
Would the answer be 12.5
frutty [35]
Which question in order for me 2 answer

5 0
3 years ago
(2p + 4) + 5 (p-1) - (p+7)
jonny [76]

<em>Your answer will be, </em><em>"6p - 8"</em>

Thanks,

<em>Deku ❤</em>

6 0
3 years ago
If 13cos theta -5=0 find sin theta +cos theta / sin theta -cos theta​
Ivahew [28]

Step-by-step explanation:

<h3>Need to FinD :</h3>

  • We have to find the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0.

\red{\frak{Given}} \begin{cases} & \sf {13\ cos \theta\ -\ 5\ =\ 0\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \big\lgroup Can\ also\ be\ written\ as \big\rgroup} \\ & \sf {cos \theta\ =\ {\footnotesize{\dfrac{5}{13}}}} \end{cases}

Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.

Where,

  • PQ = Opposite side
  • QR = Adjacent side
  • RP = Hypotenuse
  • ∠Q = 90°
  • ∠C = θ

As we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,

\rightarrow {\underline{\boxed{\red{\sf{cos \theta\ =\ \dfrac{Adjacent\ side}{Hypotenuse}}}}}}

Since, we know that,

  • cosθ = 5/13
  • QR (Adjacent side) = 5
  • RP (Hypotenuse) = 13

So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.

Therefore,

\red \bigstar {\underline{\underline{\pmb{\sf{According\ to\ Question:-}}}}}

\rule{200}{3}

\sf \dashrightarrow {(PQ)^2\ +\ (QR)^2\ =\ (RP)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ (5)^2\ =\ (13)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ 25\ =\ 169} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 169\ -\ 25} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 144} \\ \\ \\ \sf \dashrightarrow {PQ\ =\ \sqrt{144}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{PQ\ (Opposite\ side)\ =\ 12}}}}_{\sf \blue{\tiny{Required\ value}}}}

∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.

\rightarrow {\underline{\boxed{\red{\sf{sin \theta\ =\ \dfrac{Opposite\ side}{Hypotenuse}}}}}}

Where,

  • Opposite side = 12
  • Hypotenuse = 13

Therefore,

\sf \rightarrow {sin \theta\ =\ \dfrac{12}{13}}

Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.

\rightarrow {\underline{\boxed{\red{\sf{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}}}}}}

  • By substituting the values, we get,

\rule{200}{3}

\sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\Big( \dfrac{12}{13}\ +\ \dfrac{5}{13} \Big)}{\Big( \dfrac{12}{13}\ -\ \dfrac{5}{13} \Big)}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\dfrac{17}{13}}{\dfrac{7}{13}}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{13} \times \dfrac{13}{7}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{\cancel{13}} \times \dfrac{\cancel{13}}{7}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{7}}}}}_{\sf \blue{\tiny{Required\ value}}}}

∴ Hence, the required answer is 17/7.

6 0
2 years ago
Other questions:
  • How many solutions does the equation - 8x + 5 = - 8x + 4 have
    12·1 answer
  • What is the coefficient of the variable in the expression 2 - 5x - 4 + 8
    7·1 answer
  • Jarred has two cakes that are the same size.The first cake was chocolate,which he cut 12 equal parts.The second cake was marble,
    6·1 answer
  • Given the following formula, solve for t.<br> V =<br> t + at
    15·2 answers
  • Dennis wants to buy a card for his wife. Dennis calculates the amount of the card as $4.50. The actual price of a card is $4. Wh
    11·1 answer
  • What is the total measure of an average man brain and heart
    15·1 answer
  • Can someone plz help me i am confused :)
    12·2 answers
  • GIVING BRAINLIST PLZ HELPPPP Which of the following expressions could be used to represent the problem modeled on the number lin
    8·1 answer
  • Please help me with this! Write the equation of the line in fully simplified slope intercept form. Explanation and answer please
    7·2 answers
  • Find the unknown side (w) of the rectangular solid. Please help..
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!