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Alex787 [66]
2 years ago
15

My cousin was interested in reactions that produce carbon dioxide gas. She wondered if there was some way to predict how much ga

s a reaction would produce. She did a series of seven experiments and measured the amount of carbon dioxide released by each one. Baking soda (spoons) Calcium chloride (spoons) Carbon dioxide (milliliters) 1 1 800 1 2 1600 1 3 1600 2 1 800 2 2 1600 2 3 2400 3 1 800 Based on my cousin’s experimental results,answer these questions. 1. How many mL of gas would be produced if 3 spoons of baking soda reacted with 3 spoons of calcium chloride? 2. How many mL of gas would be produced if 2 spoons of baking soda reacted with 1.5 spoons of calcium chloride? 3. My cousin wanted to produce exactly 2000 mL of carbon dioxide. How much baking soda and calcium chloride should she use?
Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
4 0

Answer:

1.)2240

2.)1173.33334

3) soda = 3, calcium chloride = 2.625

Step-by-step explanation:

Baking soda (spoons)

1 - 1 - 1 - 2 - 2 -2 - 3

Calcium chloride (spoons)

1 - 2 - 3 - 1 - 2 - 3 - 1

Carbon dioxide (milliliters)

800 - 1600 - 1600 - 800 - 1600 - 2400 - 800

Modeling the above using a multiple regression technique:

ŷ = ax1 + bx2 + c

Where ŷ is the predicted value

x1 and x2 are the first and second predictor variable.

ŷ = 106.66667X1 + 640X2 - 0

1.) How many mL of gas would be produced if 3 spoons of baking soda reacted with 3 spoons of calcium chloride?

ŷ = 106.66667(3)+ 640(3) - 0

320.00001 + 1920 - 0 = 2240

2.) How many mL of gas would be produced if 2 spoons of baking soda reacted with 1.5 spoons of calcium chloride?

ŷ = 106.66667(2)+ 640(1.5) - 0

213.33334 + 960 + 0 = 1173.33334

C.) To produce 2000mL of gas

It could be achieves a a number of ways

ŷ = 106.66667X1 + 640X2 - 0

For instance if she opts to use 3 spoons of soda

2000 = 106.66667(3) + 640x2

2000 = 320.00001 + 640x2

2000 - 320 = 640x2

x2 = 1680/640

x2 = 2.625 spoons

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3 years ago
Caitlin has 4 3/4 pounds of clay . She uses 1 1/10 pounds to make a cup ,and another 2 pounds to make a jar , how many pounds ar
Brut [27]
There are 33/20 or 1.65 pounds left.

Given:
4 3/4 pounds of clay
1 1/10 pounds of clay for a cup
2   pounds of clay for a jar

Convert the mixed fraction into fractions.
4 3/4 = (4*4+3)/4 = 19/4
1 1/10 = (1*10+1)/10 = 11/10
2 = 2/1

19/4 - 11/10 = (19/4 *5/5) - (11/10 * 2/2) = 95/20 - 22/20
= (95-22)/20 = 73/20 or 3.65 pounds after making a cup  

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3 years ago
The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a tab
Viefleur [7K]

Answer:

Input - Output

2 - $290

12 - $690

24 - $1170

Step-by-step explanation:

Cost after n months:

The cost after n months is given by the following function:

C(n) = 40n + 210

After 2 months:

This is C(2). So

C(2) = 40(2) + 210 = 80 + 210 = 290

After 12 months:

This is C(12). So

C(12) = 40(12) + 210 = 480 + 210 = 690

After 24 months:

This is C(24). So

C(24) = 40(24) + 210 = 960 + 210 = 1170

Table:

Input - Output

2 - $290

12 - $690

24 - $1170

6 0
3 years ago
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