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tino4ka555 [31]
3 years ago
15

Solve for k .

Mathematics
1 answer:
Kamila [148]3 years ago
7 0
Using the given numbers, you can write the exponential function as
  P = 107*(112/107)^(t/6)
where t = years since 1993.

This can be written in the form
  P = 107*e^(kt)
where
  k = ln(112/107)/6
  k ≈ 0.00761167 . . . . . . . your value of k


The population in 2017 by this model is
  107*e^(0.00761167*(2017 -1993)) ≈ 128.446

The growth formula estimates the 2017 population at 128 million.
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Kayla has 1\frac{3}{7} cups of yogurt to make smoothies. Each smoothie uses \frac{1}{4} cup of yogurt. What is the maximum numbe
Fiesta28 [93]

Answer: The maximum number of smoothies is 6 cups

Step-by-step explanation: The quantity of yogurt Kayla has is 1³/₇ cups and she needs to make smoothies that would require, 1/4 cup. The number of smoothies she can make from this available quantity can be mathematically expressed as follows;

Number of smoothies = Total Quantity/Quantity per cup

So if we represent Total quantity (1 ³/₇ cups) by x and the quantity per cup (1/4) by y, then the number of smoothies she can make from her available amount of yogurt can be expressed as follows;

Number of smoothies = x/y

The reason is simple, Kayla can determine how many cups of smoothies she can make provided she knows how much quantity each cup of smoothie would require. That means, if for example she has 10 cups of yogurt and each smoothie requires 5 cups, she simply needs to find out how many 5 cups she can get out of 10 cups, which now translates into 10 divided by 5. Similarly, she has 1 ³/₇ cups of yogurt and to determine how many ¹/₄ cups can come out of this she simply needs to divide the total quantity of yogurt by the amount each cup requires, which bring us back to the equation;

Number of smoothies = x/y

Where x = 1 ³/₇ cups of yogurt and y = ¹/₄ cup of yogurt

Number of smoothies = 1 ³/₇÷ ¹/₄

Number of smoothies = (¹⁰/₇) x (⁴/₁)

Number of smoothies = 40/7

Number of smoothies = 5 ⁵/₇

The maximum number of smoothies Kayla can make is 6 cups, because the result shows 5 cups and a fraction which is greater than half a cup. Therefore the last one that measures 5/7 of a cup shall be the sixth one.

8 0
3 years ago
Type the correct answer in the box. x y 3 10 20 In the table, the relation (x, y) is not a function if the missing value of x is
yan [13]

The relation is <em>not a function</em> if any x-value is repeated.

Assuming you have

(x, y) = (3, 10), (__, 20)

if x = 3, the relation is not a function.

3 0
3 years ago
Read 2 more answers
Alan bought 20 yards of fencing. He used 5.9 yards to surround one flower garden and 10.3 yards to surround another garden. Writ
Artist 52 [7]
You would add 10.3 and 5.9 which would equal 16.2, and subtract that from 20 and change that decimal into a fraction, which would be 19/50
4 0
3 years ago
Solve for x <br> (1 point)
Delicious77 [7]
It should be 13 since 13+8 = 21. 21-7 = 13
5 0
3 years ago
Pls help with my homework I need help
shusha [124]

Answer:

tan G = 1.6071

Step-by-step explanation:

tan G = 45/28

tan G = 1.6071

6 0
2 years ago
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