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Veseljchak [2.6K]
2 years ago
15

Seo-Yun hosted a party. She had 50 party favors to give away, and she gave 3 party favors to each of her guests

Mathematics
1 answer:
fgiga [73]2 years ago
7 0

Answer:

Arithmetic sequence

Step-by-step explanation:

-We notice that the difference between the number of favors already given out between any two consecutive number of party guests has an additive increment.

-This increment is called the Common Difference and has a value of 3.

-The number of tickets available is 50.

Hence, the number of tickets already given out can be calculated using the formula:

a_n=-dn+S_n\\\\n= n^{th} \ guest\\d=common \ difference\\S_n=Total \ tickets \ available\\\\\therefore a_n=-3n+50

Hence, this is an Arithmetic Sequence.

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If this helped then please give brainliest answer, rate, and thank!
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2 years ago
The pressure at sea level is 111 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of
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Answer:

we have P(x) = mx + 1

Step-by-step explanation:

Allow me to revise your question for a better understanding:

<em>The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of 23 meters, the pressure around her is 3.3 point, 3 atmospheres. The pressure p in atmospheres is a function of x, the depth in meters.</em>

My answer:

Given:

At O meter the the pressure is 1 (0, 1)

At 23 meters the the pressure is 3.3 (23, 3.3)

From that, we can form a linear equation with the standard form:

P(x) = mx + b (1)

The slope of (1) is:

m=\frac{3.3-1}{23-0}=\frac{2.3}{23}=\frac{23}{230}=0.1

<=> P(x) = 0.1x + b

Substitute the point (0, 1) into (1) we have:

1 = 0.1*0 + b

<=> b = 1

So we have the equation of this line will be: P(x) = mx + 1

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Can u solve this pls easy? A geologist takes samples of two rocks from a mountainside. The gray rock has a volume 25% higher tha
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Answer:

Text me back for an answer.

Step-by-step explanation:

Make sure you text back.

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The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len
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Answer:

5\sqrt{10}\ units

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

x ---->  the length of one leg of the triangle

Applying the Pythagorean Theorem

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c=10\sqrt{5}\ units

a=b=x\ units

substitute

(10\sqrt{5})^2=x^2+x^2

500=2x^2\\x^2=250\\x=\sqrt{250}\ units

Simplify

x=5\sqrt{10}\ units

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