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2 years ago

3) The line that models the data in the scatter plot below is given by the

1 answer:

4 0

Using the given linear function, it is found that the slope is of 73, which means that for each traffic ticket, the cost of car insurance increases by $73.

<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.

In this problem:

x represents the number of traffic tickets.

y represents the cost of car insurance.

The function is:

$y = 73x + 146.53$

Hence the slope is of 73, which means that for each traffic ticket, the cost of car insurance increases by $73.

You can learn more about linear functions at brainly.com/question/25823744

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Heather is filling her new Koi pond with a water hose. After 33 minutes, her pond has 74 gallons water. Her Koi pond holds 480 g

Ulleksa [173]

Initial flow rate: 74 gallons/33 minutes = 2.24 gallons/minute

Addtiional flow rate: 2*74/33 = 4.48 gallons/minute

Total new rate: 3*74/33 = 6.72 gallons/minute

The answer is the option C) 6.7

7 0

3 years ago

Read 2 more answers

What is the maximum height of the basketball when the player passes the ball to someone? Initially, the ball moves at a speed of

ZanzabumX [31]

Answer with explanation:

Since the motion of the ball is projectile motion we shall use the equations for projectile motion.

The maximum height achieved by the projectile is given by

$h_{max}=\frac{v_{o}^{2}sin^{2}(\theta )}{2g}$

Applying the values we get

$h_{max}=\frac{12^{2}\times sin^{2}(45)}{2\times 9.81}\\\\h_{max}=3.669m$

The range of the projectile is given by

$R=\frac{v_{o}^{2}sin(2\theta )}{2g}$

Applying values we get

$R=\frac{12^{2}\times sin(2\times 45 )}{2\times 9.81}\\\\R=7.339m$

thus the maximum horizontal distance reached by the ball equals 7.339 meters after which it bounces thus a person standing 8 meters away will not be able to catch it.

(The height of the players is not taken into account since no info is given about their height.)

3 0

4 years ago

ISROPCALER Can you please unscramble this? Two numbers whose product is one.

iVinArrow [24]

Reciprocals is the answer.

8 0

3 years ago

Read 2 more answers

The denominator of a rational number is greater than the numerator by 6 if the numerator and denominator are both increased by 2

DerKrebs [107]

Answer:

7/13

Step-by-step explanation:

Let's call x= numerator

We know that :

Denominator= x+6

And

(numerator +2)/(denominator +2) = 3/5

(x+2)/(x+6+2)=3/5

(x+2)/(x+8)=3/5

(x+2)*5=(x+8)*3

5x+10=3x+24

2x=14

x=7

In the end

Numerator= x =7

Denominator=x+6 = 13

So the original number is 7/13

I hope this helps, have a beautiful day

4 0

3 years ago

Find the distance between (-6, -5) and (2,0)

kotykmax [81]

Answer:

$\displaystyle d = \sqrt{89}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (-6, -5)

Point (2, 0)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute [DF]: $\displaystyle d = \sqrt{(2+6)^2+(0+5)^2}$
Add: $\displaystyle d = \sqrt{(8)^2+(5)^2}$
Exponents: $\displaystyle d = \sqrt{64+25}$
Add: $\displaystyle d = \sqrt{89}$

5 0

3 years ago