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yKpoI14uk [10]
2 years ago
11

Up and Running Auto Shop is tracking their regular customers' data to see if there is a relationship between the life of a car's

engine and the number of times the oil is changed. The equation for the line of best fit for the data shown on the scatter plot is y = .4125x + .1576. What does .1576 represent in the equation?
A) .1576 represents the expected longevity of the engine before any oil changes.
B) .1576 represents the expected longevity of the engine with one oil change.
C) .1576 represents the expected longevity increase of the engine each time the oil is changed.
D) .1576 represents the expected longevity of the engine each time the car is driven.
Mathematics
2 answers:
romanna [79]2 years ago
8 0

The equation  y=0.4125x+0.1576 has two variables, y (longevity of car engine) and x (number of times oil changed).

This falls into the slope-intercept form of a linear function,which is y=mx+b, where b is the y-intercept (or in other words, the value of y when x is 0).

Comparing our equation to the slope-intercept form of a linear function tells us that the value 0.1576 is the y-intercept.

<em>It means </em><em>0.1576</em><em> is the expected longevity of a car engine when x is 0 (number of oil changed is 0). </em>This is answer choice A.


ANSWER: A

zheka24 [161]2 years ago
6 0

.1576 represents the expected longevity of the engine before any oil changes.


.1576 is the y-intercept, which is the starting point before any oil changes are computed to increase the longevity.

If you are taking ti on USA test prep this is the answer

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If you have a whale that weighs 5000lb and he eats 150lb a day. How do you figure out what percent of his body weight he require
Alina [70]

Answer:

3%

Step-by-step explanation:

To find how much of his body weight in food he requires daily, divide:

\frac{150}{5000}\div\frac{50}{50}=\frac{3}{100}=0.03=3\%

4 0
2 years ago
Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these
ANEK [815]

Answer:

The correct option is;

∠A ≅ ∠X

Step-by-step explanation:

The given coordinates of the points of triangle ACB are;

A(-4, 4), C(-1, 3), B(-4, 0)

The given coordinates of the points of triangle XYZ are;

X(0, 8), Y(8, 8), Z(6, 2), therefore, we have

The length. l. of segment is given by the following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

For the length of the segment AC; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-1, 3), l = √(10)

For the length of the segment AB; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-4, 0), l = 4

For the length of the segment BC; (x₁, y₁) = (-4, 0), (x₂, y₂) = (-1, 3), l = 3·√2

For the length of the segment XY; (x₁, y₁) = (0, 8), (x₂, y₂) = (8, 8), l = 8

For the length of the segment XZ; (x₁, y₁) = (0, 8), (x₂, y₂) = (6, 2), l = 6·√2

For the length of the segment ZY; (x₁, y₁) = (6, 2), (x₂, y₂) = (8, 8), l = 2·√(10

Therefore;

XY ~ AB, XZ ~ BC, ZY ~ AC

Which gives;

∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z

8 0
2 years ago
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You are curious why some apartments in West Campus cost more to rent than others. So you sample 30 one-bedroom apartments from a
Sonja [21]

Answer:

the monthly rents of the apartments

Step-by-step explanation:

In the field of statistics, the population of interest may be defined as the group or the population from which the experimenter or the researcher tries to make conclusions or draw their results.

In the context, I am interested to study the cost of the rented house that is more than others in the West Campus area.

So I recorded the monthly rents of the apartments from a sample of 30 one bedroom apartments.

Therefore, the population of interest for my study here is the monthly rents recorded from the sample of one bedroom apartments.

5 0
2 years ago
For each of the following, decide if the given series is a geometric series. A. 5+25x+125x2+625x3+3125x4+⋯ : Is this a geometric
Westkost [7]

Answer:

A. Yes.

B. Yes.

C. No.

Step-by-step explanation:

A. Yes. The sum of the series, 5 + 25x + 125x^{2} + 625x^{3} + 3125x^{4} + ........... is the sum of a geometric series.

The first term of the series a_n = 5.

The common ration or the ratio between successive terms (r) = \frac{25x}{5} = 5x (Answer)

B. Yes. The sum of the series, 5x^{7} + 5x^{8} + 5x^{9} + 5x^{10} + ............ is also the sum of a geometric series.

The first term of the series a_n = 5x^{7}.

The common ration or the ratio between successive terms (r) = \frac{5x^{8} }{5x^{7} } = x (Answer)

C. No. The sum of the series, 5 + 5x + 5x^{2} + 5x^{4} + 5x^{8} + ........... is not the sum of a geometric series.

The first term of the series a_n = 5.

(Answer)

5 0
2 years ago
Given: EL- tangent, EK- secant <br> Prove: EJ·LK = EL·LJ
drek231 [11]

Answer:

This is possible.

Step-by-step explanation:

We can say that m<E=m<E, because of the Reflexive Property

Then, we have angles JKL and ELJ, which are equal through the peripheral angle theorem.

With these two angles, we can say that triangles ELK and EJL are similar, by the Angle-Angle Postulate (AA).

Then we can create this ratio through the Corresponding Parts of Similar Triangles Theorem, (CPST), \frac{LK}{LJ} =\frac{EL}{EJ}.

With this ratio, we can cross multiply to get the desired result

EJ·LK=EL·LJ

Hope this helps with your RSM problem

Yup, i caught ya.

3 0
2 years ago
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