Find the slope of the line containing the points whose coordinates are (2, 3) and (4, 3).

Answers

Answer 1
Answer:

Answer: 0

Step-by-step explanation:

Use the following formula:

(y2 - y1)/(x2 - x1)

Plug in the coordinates:

(3-3)/(4-2) = 0


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Suppose a city with population 500,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 11 years.

Solve the equation for y:
2x + 5y = 20

Answers

Answer:

y = (20-2x)/(5)

Step-by-step explanation:

Given

2x + 5y = 20 ( isolate the term in y by subtracting 2x from both sides )

5y = 20 - 2x ( divide both sides by 5 )

y = (20-2x)/(5)

The Answer will be y=4

Whole numbers between 63 and 101

Answers

Answer:

64,81,100

Step-by-step explanation:

Answer: 64,81 and 100

Step-by-step explanation: 8^2=64, 9^2=81 and 10^2=100

on monday a company stock close at a price of $30.80 per share on tuseday it increased by $1.20 per share on wenseday it fell by 6.25% on thursday it fell by another 4% and friday it increased by 2.5% what is the net change in the stock price from monday to friday

Answers

Tuesday:
30.80 + 1.20 = 32.00

Falling by 6.25% means it ends up being 93.75% of what it used to be (100% - 6.25% = 93.75%)

Wednesday:
32.00 * 0.9375 = 30

Thursday:
30 * 0.96 = 28.8

Friday:
28.8 * 1.025 = 29.52

Net change means you subtract to get the difference.

Net change = Final - initial
= 29.52 - 30.80
= -1.28

The stock fell $1.28

Hope this helps!

A paint color is made by using 4 drops of red and 5 drops of blue for each 5 gallons of paint . How many gallons of paint are being colored when 45 drops are used ????

Answers

Final answer:

With 4 drops of red and 5 drops of blue used for every 5 gallons of paint, this forms a 9:5 ratio.

With 45 drops, which is 5 times 9, the there would be enough color for 25 gallons of paint.

Explanation:

A ratio states the relative sizes of two or more values. In this case, it is said that for each 5 gallons of paint, there are 4 drops of red and 5 drops of blue, making a total of 9 drops of color for every 5 gallons of paint.

To figure out how many gallons of paint are being colored with 45 drops, you would find out how many 'sets' of 9 drops are in 45, which is 5.

So, there are enough drops to color 25 gallons of paint (5 sets times 5 gallons per set).

Learn more about Ratios here:

brainly.com/question/32531170

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A banana bread recipe calls for 3/4 cup butter. One tablespoon equals 1/16 cup. How many tablespoons of butter are needed to make the banana bread?

Answers

Answer:

Banana recipe will require 12 table spoons of butter.

Step-by-step explanation:

Banana bread recipe requires the butter = (3)/(4) cups

Since (1)/(6) cup = 1 table spoon

Therefore, 1 cup = (1)/((1)/(16)) = 16 table spoons

Therefore, (3)/(4) cup of butter = (3)/(4)* 16

= 12 table spoons of butter

So Banana recipe will require 12 table spoons of butter.

3/4 of a cup is the same as 12/16 of a cup. if one tablespoon is 1/16 of a cup, then 12 tablespoons of butter are required

use the counting principle to find the probability of choosing the 8 winning lottery numbers when the numbers are chosen at random from 0 to 9

Answers

Answer: 1/10^8

Step-by-step explanation:

Here the total numbers are 10 ( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

Since, the probability of choosing one number = (1)/(10)

Therefore, the probability of choosing 8 numbers =

(1)/(10)*(1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* ( because there is no replacement)

= (1)/(10^8)




The total feasible numbers are: 10*10*10*10*10*10*10*10 = 10^8

The probability is 1/10^8