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Vikentia [17]
3 years ago
6

Please help IM SO CONFUSED!

Mathematics
1 answer:
rodikova [14]3 years ago
4 0

Answer:

18

Step-by-step explanation:

You can see from the table that 2 bracelets are made every 30 minutes.

There are 9 intervals of 30 minutes each in 4.5 hours.

So, the number of bracelets that are made in 4.5 hours is

9x2=18

Another way to see this is to note from the table that 4 bracelets are made in 60 minute, which is 1 hour.  So, in 4 hours, 16 bracelets will be made. Also, from the table, 2 bracelets are made in 30 minutes, which is 1/2 hour.  So, adding up, 18 bracelets are made in 4.5 hours.

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Evaluate:<br> 20<br> Σ 4(8/9)^n-1 = [?]<br> 1<br> Round to the nearest hundredth.
lianna [129]

Answer:

32.59 (nearest hundredth)

Step-by-step explanation:

<u />

<u>Geometric sequence</u>

General form of a geometric sequence: a_n=ar^{n-1}

(where a is the first term and r is the common ratio)

Given:

\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}

Therefore:

  • a = 4
  • r = 8/9

<u>Sum of the first n terms of a geometric series</u>:

S_n=\dfrac{a(1-r^n)}{1-r}

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}

\implies S_{20}=32.58609013...

\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)                    

7 0
2 years ago
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Mamont248 [21]

Answer:

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8 0
3 years ago
Sara's mother has bought 90 lollipops and 105 pencils for goody bags for Sara's birthday. What is the largest number of goody ba
crimeas [40]

Answer:

<h3>15</h3>

Step-by-step explanation:

<h2>you need to find the lcf(least common factor) of the two numbers which is 15</h2>
5 0
3 years ago
The sum of five consecutive numbers is -75. Which number is the least of these five numbers?
Ivan
Hello! I can help you with this! Do -75/5 to get -15. -15 will be your middle number. So for consecutive integers, -13 + -14 + -15 + -16 + -17 = 75. Those are five consecutive integers that have a sum of 75. The lowest of 5 integers is -17, because it’s the smallest of them all and the furthest to the left of the number line. A line further to the left of the number line means it’s smaller. Therefore, the rest of the five integers is -17.
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3 years ago
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What's the center of a circle whose equation is (x – 14)2 + (y + 21)2 = 64?
kvasek [131]

Answer:

The center of the circle is:

  • \left(a,\:b\right)=\left(14,\:-21\right)

Thus, option (2) is true.

Step-by-step explanation:

The circle equation is given by

\left(x-a\right)^2+\left(y-b\right)^2=r^2

here,

  • r =  raduis
  • center = (a, b)

Given the equation

\left(x-14\right)^2+\left(y+21\right)^2=64

\mathrm{Rewrite}\:\left(x-14\right)^2+\left(y+21\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}

\left(x-14\right)^2+\left(y-\left(-21\right)\right)^2=8^2

comparing with the circle equation

\left(x-a\right)^2+\left(y-b\right)^2=r^2

Therefore, the center of the circle is:

  • \left(a,\:b\right)=\left(14,\:-21\right)

Thus, option (2) is true.

7 0
3 years ago
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