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3 years ago

Pls, look at picture for the question.

Mathematics

2 answers:

kow [346]3 years ago

7 0

Answer:

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

Step-by-step explanation:

Pretty simple numbers of the horizontal axis are your x values in an ordered pair of (x,y) and the numbers in the verticle axis are your y values.

gregori [183]3 years ago

6 0

Answer:

(0.5, 4) Point A

(-3,0) Point B

(-1, 1) Point C

Step-by-step explanation:

To write an ordered pair we need the x and y coordinates. The x axis is the horizontal one and the y axis is the vertical one. Using the amount of tick marks, we can conclude that each tick mark represents 0.5.

The format for an ordered pair is (x coordinate, y coordinate)

Let's start with Point A...

Point A: It's 0.5 on the x axis and 4 on the y axis so we get (0.5, 4)

Point B: It's -3 on the x axis and 0 on the y axis so we get (-3,0)

Point C: It's -1 on the x axis and 1 on the y axis so we get (-1, 1)

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3 years ago

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6

ddd [48]

Answer:

The population of bacteria after 6 days is 2,313.06

Step-by-step explanation:

Given as :

The initial population of bacteria = i = 1,000 bacteria

The growth rate of bacteria per day = 15%

Let The population of bacteria after 6 days = f

The time period of growth = 6 days

<u>Now, According to question</u>

The population of bacteria after 6 days = initial population × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, f = i × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, f = 1000 × $(1+\dfrac{\textrm 15}{100})^{\textrm 6}$

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3 0

4 years ago

A jet airplane, departing on time and flying between two airports at an average speed of $540 mph, arrives eight minutes late. D

Leokris [45]

<h3>Answer: 3240 miles</h3>

========================================

Work Shown:

Convert the given speeds from "miles per hour" to "miles per minute"

540 mi/hr = (540 mi/hr)*(1 hr/60 min)

540 mi/hr = (540/60) (mi/min)

540 mi/hr = 9 mi/min

480 mi/hr = (480 mi/hr)*(1 hr/60 min)

480 mi/hr = (480/60) (mi/min)

480 mi/hr = 8 mi/min

---------------

Let,

d = distance between two airports
x = time in minutes it takes the plane to travel 9 mi/min
y = time in minutes it takes the plane to travel 8 mi/min

If the plane travels 9 mi/min, then,

distance = rate*time

d = 9*x

d/9 = x

x = d/9

Similarly if the plane travels 8 mi/min, then,

d = 8*y

d/8 = y

y = d/8

Subtract the time values y and x

y-x = d/8 - d/9

y-x = 9d/72 - 8d/72

y-x = (9d-8d)/72

y-x = d/72

This difference represents 45 minutes because 53 - 8 = 45. The 53 and 8 are from the fact the plane is late 53 minutes and 8 minutes.

In other words, y-x = 45, so d/72 = 45 which solves to d = 3240 when you multiply both sides by 72.

---------------------------------

Extra Info:

If d = 3240, then

x = d/9 = 3240/9 = 360

y = d/8 = 3240/8 = 405

So y-x = 405 - 360 = 45

If the plane travels 9 mi/min (aka 540 mph) then it spends 360 minutes (6 hours) doing so. If the plane travels 8 mi/min (480 mph) then it spends 405 minutes (6 hrs, 45 min) doing so. So this is a more detailed look at why the time gap is 45 minutes.

4 0

4 years ago