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3 years ago

Fairview is 15 kilometers due north of the airport, and Lowell is due east of the airport. If the

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

8km

Step-by-step explanation:

The three points form a right-angled triangle with 15km as the height and 17km as the hypotenuse.

To find the distance between Lowell and the port which is the base use the pythagorean theorem.

=√17² - 15²

=8km

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One serving of Gooey Gushers provides 12% of the daily value of vitamin C. Tim ate 312 servings of Gooey Gushers.

Studentka2010 [4]

Answer:

a) Given expression,

12% of 312

Since 100% of 312 = 312

⇒ 10% of 312 = 31.2,

⇒ 1% = 3.12

⇒ 2% = 2 × 3.12 = 6.24

So, 12% of 312 = 10% of 312 + 2% of 312

= 31.2 + 6.24

= 37.44

b) Given,

Total number of servings = 312,

The percentage of vitamin C in each serving = 12%,

Thus, the total amount of the vitamin C in 312 servings = 12% of 312

$=\frac{12\times 312}{100}$

$=\frac{3744}{100}$

= 37.44,

Hence, the question can be asked about the total amount of the vitamin C.

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3 years ago

The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

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3 years ago

4. Using the point-slope formula, what is the equation of the line that passes through the points (1, 5) and (0, 0)?

Mazyrski [523]

<span>Answer: y=5x or 5x-y=0
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Music featuring several independent lines is called

Tamiku [17]

In music, polyphony is a texture consisting of two or more simultaneous lines of independent melody, as opposed to a musical texture with just one voice which is called <u>monophony</u>, and in difference from musical texture with one dominant melodic voice accompanied by chords which is called homophony.

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3 years ago

A store has 263 board games. Sit has 100 fewer puzzles than board games. The store has 10 more action figures than puzzles. Writ

Yuri [45]

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163 puzzles and 173 action figures is the answer

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