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yaroslaw [1]
3 years ago
15

You use 1 1/2 stick of butter for every 24 cookies you bake. How much butter would you need to bake 384 cookies

Mathematics
1 answer:
kenny6666 [7]3 years ago
8 0
You need 24 sticks of butter
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Find the sum of the first 20 terms of an arithmetic sequence with an 18th term of 8.1 and a common difference of 0.25.
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The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Given,

18th term of an arithmetic sequence = 8.1

Common difference = d = 0.25.

<h3>What is an arithmetic sequence?</h3>

The sequence in which the difference between the consecutive term is constant.

The nth term is denoted by:

a_n = a + ( n - 1 ) d

The sum of an arithmetic sequence:

S_n = n/2 [ 2a + ( n - 1 ) d ]

Find the 18th term of the sequence.

18th term = 8.1

d = 0.25

8.1 = a + ( 18 - 1 ) 0.25

8.1 = a + 17 x 0.25

8.1 = a + 4.25

a = 8.1 - 4.25

a = 3.85

Find the sum of 20 terms.

S_20 = 20 / 2 [ 2 x 3.85 + ( 20 - 1 ) 0.25 ]

         = 10 [ 7.7 + 19 x 0.25 ]

         = 10 [ 7.7 + 4.75 ]

         = 10 x 12.45

         = 124.5

Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Learn more about arithmetic sequence here:

brainly.com/question/25749583

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Answer:

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Step-by-step explanation:

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Approximate the square root of 500 to the nearest tenth. Show your work.
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\sqrt{500} \rightarrow \sqrt{5 * 10 * 10} \rightarrow 10\sqrt{5} This is an exact answer. the answer will be a bit larger than 20
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A function has a constant halving time. What type of function does this represent?
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<span>The function which has a constant halving time is in the following form
</span>
A(t) = A_{0} ( \frac{1}{2} )^ \frac{t}{h}
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The previous function represents an Exponential decay<span> function.
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so, The correct answer is option B. <span>Exponential decay</span>
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