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3 years ago

What is the a3+b3 equal to? verify by an activity

1 answer:

3 0

a³ + b³ = ( a + b ) ( a² - a b + b³ )
For example:
a = 1, b = 2
a³ + b³ = 1³ + 2³ = 1 + 8 = 9
( a + b ) ( a² - a b + b² ) = ( 1 + 2 ) ( 1² - 1 * 2 + 2² ) =
= 3 * 3 = 3
The formula is true.

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Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same poi

skelet666 [1.2K]

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

$\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}$

Solving the equation we get,

$\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}$

$9\times 4=3\times n(n -1)$

$36=3\times n(n -1)$

$n^2-n-12=0$

$n^2-4n+3n-12=0$

$n(n-4)+3(n-4)=0$

$(n-4)(n+3)=0$

$n=4,-3$

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

$S=\frac{D}{T}$

$S_a=\frac{4\times 450}{9}$

$S_a=200 m/min$

Brian completes 3 laps in that 9-minute time, so his rate is

$S_b=\frac{3\times 450}{9}$

$S_b=150 m/min$

Therefore, Alan: 200 m/min

Brian: 150 m/min

4 0

3 years ago

The chi-square test assesses whether the _____ observed in a cross-tabulation diverge from those one would expect under the null

pantera1 [17]

Answer: Frequencies .

Step-by-step explanation:

In statistics theory the chi-square test statistic is calculated by considering each cell and the expected frequency is subtracted from the observed frequency after that the difference is squared, and the total is divided by the expected frequency. This is highlight that the key focus of the chi-square test is the frequencies .

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3 years ago

Plsssss helppp meeeee

Zinaida [17]

Answer:

Step-by-step explanation:

7+15/5

4 0

3 years ago

Read 2 more answers

A certain big company classifies its employees according to gender, age-group (6 categories) and employment type (10 categories)

elena-14-01-66 [18.8K]

We don’t know the number of employees remaining at the company.

We don’t know the total number of employees remaining at the company.

The classification consists of gender, division, and employment type.

It doesn’t matter what order those attributes come in. A person who is male, age group 6, and employment type 10 has the same classification as someone who is of employment type 6, male, and age group10.

Therefore since order does not matter it is a combination question.

Assuming only two genders are allowed (you didn’t say and some people think there are about 10 of them)

It is either 120 (2 times 6 times 10) or "None of the above" if you believe there are more than 2 genders.

2×6×10=120

Learn more about employees at

brainly.com/question/1190099

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3 0

2 years ago

Help!! Can someone put me out my misery

marissa [1.9K]

Answer: 0.14

Step-by-step explanation:

1) Find the total #of seniors. To do this add up 25+5+5 = 35.

2)Since we know the number of seniors that work just do 5/35. This simplifies to 0.14 rounded to the nearest hundreth.

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3 years ago