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amid [387]
3 years ago
12

An add tape of 108 ft is incorrectly recorded as 100 ft resulting in a recorded 200-ft distance. what is the correct distance?

Mathematics
1 answer:
boyakko [2]3 years ago
4 0
216 ft bc 108 * 2 = 216
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2(2x-3) + 3(x + 1) = 5x +2
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X=5/2 , remove parentheses , collect like terms, move terms , collect like terms and calculate the sum , then divide both sides by 2 , hope this helped broski
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SOLVE THIS QUESTION WITH FULL STEPS...THANKS
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Answer: which question

Step-by-step explanation:

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1/5x1/2=1/10

1/5 because there are 5 flavors.
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3 years ago
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Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?
OlgaM077 [116]

Answer:

a_n = 16(\frac{1}{4})^{n - 1}

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = \frac{1}{16}

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = ar^{n - 1}, where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

\frac{1}{16} = a*\frac{1}{4}^{5 - 1}

\frac{1}{16} = a*\frac{1}{4}^{4}

\frac{1}{16} = a*\frac{1}{256}

\frac{1}{16} = \frac{a}{256}

Cross multiply

1*256 = a*16

Divide both sides by 16

\frac{256}{16} = \frac{16a}{16}

16 = a

a = 16

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = ar^{n - 1}

nth term = 16*\frac{1}{4}^{n - 1}

a_n = 16(\frac{1}{4})^{n - 1}

3 0
3 years ago
The diameter of a circle is 6 m. Find its area in terms of pi
Pie
<h2><em>Answer:</em></h2><h2><em>9</em><em> </em><em>pi </em><em>m^</em><em>2</em></h2>

<em>Solution</em><em>,</em>

<em>Diameter</em><em>=</em><em>6</em><em> </em><em>m</em>

<em>Radius=</em><em> </em><em>6</em><em>/</em><em>2</em><em>=</em><em>3</em><em>m</em>

<em>Area </em><em>of </em><em>circle=</em><em> </em><em>pi </em><em>r </em><em>^</em><em>2</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>pi </em><em>*</em><em>(</em><em>3</em><em>)</em><em>^</em><em>2</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>pi*</em><em>9</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>9</em><em> </em><em>pi </em><em>metre^</em><em>2</em>

<em>Hope </em><em>it</em><em> helps</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>

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3 years ago
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