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2 years ago

Write an explicit formula for An, the nth term of the sequence 7, 42, 252, ...

Mathematics

1 answer:

AlekseyPX2 years ago

3 0

Answer:

Step-by-step explanation:

This is a geometric progression.

Givens

a1 = 7

r = 6

Formula

a_n = a1 * r^(n - 1)

a_n = 7 (6)^(n - 1)

Sample

Try n = 3

a_3 = 7*(6)^(3-1)

a_3 = 7*(6)^2

a_3 = 7 * 36

.a_3 = 252 which is exactly what it should be.

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16. Suppose Eva has 12 3/4 pounds of flour. The day's baking will require triple that amount.

egoroff_w [7]

Answer:

Option D

Step-by-step explanation:

Given the following question:

$12 \frac{3}{4} \times3$

In order to find the answer, we have to convert the mixed number and then multiply by three, since how Eva needs triple the amount for today's baking.

$12 \frac{3}{4} \times3$
$12\frac{3}{4} =4\times12=48+3=51=\frac{51}{4}$
$3=\frac{3}{1}$
$\frac{51}{4} \times\frac{3}{1}$
$51\times3=153$
$4\times1=4$
$=\frac{153}{4}$

<u>Convert the improper fraction back into a mixed number:</u>

$\frac{153}{4}$
$\frac{153}{4} =153\div4=38\frac{1}{4}$
$=38\frac{1}{4}$

Which means Eva needs "38 1/4 pounds of flour" or option D for today's baking.

3 0

2 years ago

How do I convert 138 centimeters into feet and inches

Masja [62]

4 feet
6.331 inches
Hope this helps!

7 0

3 years ago

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Bridget buys a softball bat during the sale. If the original price was $20, how much does Bridget pay?

rodikova [14]

Answer:

20$ - the sale price

Step-by-step explanation:

take the 20$ the bat originally was and the minus it by the the sales price to get your answer. BUT YOU HAVE 2 HAVE THE SALES PRICE!!!!

5 0

2 years ago

Helen's house is located on a rectangular lot that is1 1-8 miles by 9/10 mile.Estimate the distance around the lot

klemol [59]

Answer: The distance around the lot is given by

$4\frac{1}{20}\ miles$

Step-by-step explanation:

Since we have given that

Length of rectangular lot is given by

$1\frac{1}{8}\\\\=\frac{9}{8}\ miles$

Width of rectangular lot is given by

$\frac{9}{10}\ mile$

We need to find the distance around the lot.

As we know the formula for "Perimeter of rectangle":

$Perimeter=2(Length+Width)\\\\Perimeter=2(\frac{9}{8}+\frac{9}{10})\\\\Perimeter=2(\frac{45+36}{40})\\\\Perimeter=2\times \frac{81}{40}\\\\Perimeter=\frac{81}{20}\\\\Perimeter=4\frac{1}{20}\ miles$

Hence, the distance around the lot is given by

$4\frac{1}{20}\ miles$

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3 years ago

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Do not round your answer. Type in just the number. 0.48 is what % of 1 .6

MakcuM [25]

Answer:

0.00768

Step-by-step explanation:

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2 years ago

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