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k0ka [10]
3 years ago
11

The direction of mixing an insect spray to use 2 7/8 ounces of chemical in each gallon of water. How many ounces of chemical sho

uld be mixed with 6 1/3 gallons of water? First estimate the answer to the application problem. Then find the exact answer.
Mathematics
1 answer:
Gwar [14]3 years ago
7 0
Need approx 3 oz chemical to 1 gal water.
Conversion factor is then approx.      3 oz
                                                          ---------
                                                           1 gal

Mult this result by 6 gal.  This gives you 18 oz, approx.


Now let's look for a more exact solution:

2.75 oz      19 gal
---------- * ---------- = 17.4 oz.  The 18 oz estimate was close.
1 gal           3
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Why is the answer C?
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Step-by-step explanation:

∫₋₂² (f(x) + 6) dx

Split the integral:

∫₋₂² f(x) dx + ∫₋₂² 6 dx

Graphically, if f(-x) = -f(x), then ∫₋₂² f(x) dx = 0.  But we can also show this algebraically.

Split the first integral:

∫₋₂⁰ f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

Using substitution, write the first integral in terms of -x.

∫₂⁰ f(-x) d(-x) + ∫₀² f(x) dx + ∫₋₂² 6 dx

-∫₂⁰ f(-x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

Flip the limits and multiply by -1.

∫₀² f(-x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

Rewrite f(-x) as -f(x).

∫₀² -f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

-∫₀² f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

The integrals cancel out:

∫₋₂² 6 dx

Evaluating:

6x |₋₂²

6 (2 − (-2))

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6 0
3 years ago
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emmainna [20.7K]
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The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. a 2-co
Ann [662]

The estimated number of lines of code written by computer programmers per hour when x people are working & the correct option is  y = 27x - 4.

Table  showing the estimated number of lines of code written by computer programmers per hour when x people are working & option given   y= 47 * 1.191ˣ     y= 34 * 1.204ˣ    y=26.9x - 1.3    y = 27x - 4

To Choose the model which best represents the data.

<h3>What is choosing the best model data?</h3>

To understand a set of data, it is helpful to organize it and provide summary descriptions of the set.

People Working   lines of code

2                             50

4                             110

6                            160

8                            210

10                           270

12                           320

x      y= 47 * 1.191ˣ    y= 34 * 1.204ˣ    y=26.9x - 1.3   y = 27x - 4

2       66.66               49.3                   52.5                 50

4       94.57               71.44                  106.3                104  

6      134.14                103.57               160.1                 158

8      190.27               150.14                213.9               212

10     269.91              217.64               267.7               266

12     382.85             315.5                  321.5               320.

Below    2              0                         4                        1

on line    0              0                         0                       2  

Above     4               6                         2                       3

Therefore  y = 27x - 4 is the best fit

To learn more about the scatterplot visit:

brainly.com/question/26270713

3 0
2 years ago
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