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rodikova [14]
3 years ago
8

Brainliest right now!!!!

Mathematics
1 answer:
svlad2 [7]3 years ago
7 0
<h3>Answer:</h3>
  1. A
  2. B
<h3>Step-by-step explanation:</h3>

1. A decrease of 3.8% is equivalent to a multiplier fraction of -0.038. The only answer choice that has such a multiplier is A.

In an instance such as this, the "rate" is usually some (fractional) change in some period of time. Since the exponent must be unitless, the rate is effectively (some fraction) "per year" so that multiplying by "t" years cancels the units and results in a pure number.

___

<em>Comment on the exponential</em>

If the actual change were -3.8% per year, the exponential term would look like (1 - 0.038)^t = 0.962^t. By writing it as e^(-0.038t), the decrease is effectively compounded continuously. As a result, over a year's time, the decrease is actually about 3.73%, not 3.8%.

_____

2. If ║x/2║ is a magnitude function, answer choices B and D are equivalent. Thus, we must assume it is a "greatest integer" function. Then the number of desserts prepared will be ║x/2║, and the corresponding revenue will be 1.2║x/2║. Since x is in minutes, 2 to 4 hours will be 120–240 minutes. The appropriate choice is B.

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Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle ha length 3/8 and width of 3in. D
chubhunter [2.5K]

By comparing the dimensions above with the dimensions of Taylor's first rectangle, we have the following:

  • No, a length of 6 in, width 3/4 in. is not proportional.
  • Yes, a length of 1/2 in, width 4 in. is not proportional.
  • No, a length of 1 1/8 in, width 9 in. is not proportional.
  • No, a length of 3 in, width 5 5/8 in. is not proportional.

<h3>What is a direct proportion?</h3>

Mathematically, a direct proportion (direct variation) can be represented the following mathematical expression:

y = kx

Where:

  • y and x are the variables or dimensions.
  • k represents the constant of proportionality.

For the dimensions of the rectangular pieces of paper to be proportional, the length and width must remain in a constant ratio.

Next, we would determine the constant of proportionality (k) as follows:

k = y/x

k = (3/8)/3

k = 3/24

k = 1/8

For dimension 1, we have:

k = y/x

k = (6)/(3/4)

k = 24/3

k = 8 (No).

For dimension 2, we have:

k = y/x

k = (1/2)/4

k = 1/2 × 1/4

k = 1/8 (Yes).

For dimension 3, we have:

k = y/x

k = (1 1/8)/9

k = (9/8)/8

k = 9/8 × 1/8

k = 9/64 (No).

For dimension 4, we have:

k = y/x

k = (3)/(5 5/8)

k = 3/(45/8)

k = 3 × 8/45

k = 24/45 (No).

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

Complete Question:

Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle has length 3/8 in. and width 3 in. Determine which dimensions below are proportional to the dimensions of Taylor's first rectangle.

3 0
1 year ago
For the math experts again!
STALIN [3.7K]

Answer:

985

Step-by-step explanation:

The absolute value of a number is its distance from 0. This means a number would be itself if it was positive and if it was negative it would be its opposite. Since 985 is positive, |985| would just be 985.

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The exact value is -\frac{ \sqrt{3}}{2} }
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A boat has a speed of 5 mph in calm water. It takes the boat 3 hours to travel upstream but only 2 hours to travel the same dist
masya89 [10]
Here is the appropriate answer

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Answer:

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