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Mrrafil [7]
3 years ago
5

Which symbol makes the sentence true? − 9/16 ? -3/5 A.< B.> C.=

Mathematics
1 answer:
yan [13]3 years ago
7 0
- \frac{9}{16}= -\frac{45}{80}  \\  \\  -\frac{3}{5} = -\frac{48}{80}  \\  \\  -\frac{45}{80} >- \frac{48}{80} \\   \\ =>- \frac{9}{16} > -\frac{3}{5} &#10;&#10; \\  \\ \framebox[1.1\width]{See u :)} \par
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Write the first five terms of the the sequence defined by the explicit formula an=72(1/3)^n-1
lisabon 2012 [21]

a_n=72\left(\dfrac{1}{3}\right)^{n-1}\\\\\text{Put}\ n=1,\ n=2,\ n=3,\ n=4,\ n=5\ \text{to the equation}:\\\\n=1\to a_1=72\left(\dfrac{1}{3}\right)^{1-1}=72\left(\dfrac{1}{3}\right)^0=72(1)=72\\\\n=2\to a_2=72\left(\dfrac{1}{3}\right)^{2-1}=72\left(\dfrac{1}{3}\right)^1=72\left(\dfrac{1}{3}\right)=\dfrac{72}{3}=24\\\\n=3\to a_3=72\left(\dfrac{1}{3}\right)^{3-1}=72\left(\dfrac{1}{3}\right)^2=72\left(\dfrac{1}{9}\right)=\dfrac{72}{9}=8\\\\n=4\to a_4=72\left(\dfrac{1}{3}\right)^{4-1}=72\left(\dfrac{1}{3}\right)^3=72\left(\dfrac{1}{27}\right)=\dfrac{72}{27}=\dfrac{8}{3}\\\\n=5\to a_5=72\left(\dfrac{1}{3}\right)^{5-1}=72\left(\dfrac{1}{3}\right)^4=72\left(\dfrac{1}{81}\right)=\dfrac{72}{81}=\dfrac{8}{9}\\\\Answer:\ \boxed{72,\ 24,\ 8,\ \dfrac{8}{3},\ \dfrac{8}{9}}

8 0
3 years ago
Read 2 more answers
The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe
bezimeni [28]
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w

No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12

Now our problem says that the two area will be equal to each other, which sets up the following equation:

w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
7 0
3 years ago
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Delicious77 [7]

Answer:

B. -1/4

Step-by-step explanation:

6 0
3 years ago
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--30--20--10--0--10--30--40--50----&gt;
Dimas [21]
A.0 I don't actually know
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3 years ago
On a horizontal number line, numbers are what
Vikentia [17]

Answer:

to the right of zero if postive if negative left

6 0
2 years ago
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