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NikAS [45]
3 years ago
10

What is the explicit rule for the geometric sequence 1/64, 1/16, 1/4, 1

Mathematics
1 answer:
deff fn [24]3 years ago
5 0

Answer:

\frac{1}{\sqrt[n]{64}}

Step-by-step explanation:

\frac{1}{\sqrt[1]{64}} =\frac{1}{64}

\frac{1}{\sqrt[2]{64}} =\frac{1}{16}

\frac{1}{\sqrt[3]{64}} =\frac{1}{4}

\frac{1}{\sqrt[4]{64}} =\frac{1}{1}

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The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.
Scrat [10]

Just did a specific one of these; let's do the general case.


The point nearest the origin is (a,b).


The line from the origin through the point is


bx - ay = 0


The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):


ax + by = a^2 + b^2


ax + by -( a^2 + b^2) = 0


That's standard form; let's plug in the numbers:


4 x - 4 y - 32 = 0


x - y - 8 = 0



5 0
3 years ago
Peter has twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 Stickers altogether. How many sticke
GarryVolchara [31]

Answer:

170

Step-by-step explanation:

Equations derived from given info.

  • P=2J
  • J=E+40
  • P+J+E=300

Use some substitution now.

  • P=2(E+40)
  • J=E+40
  • P+J+E=300

Substitute first and second equation into third.

  • 2(E+40)+E+40+E=300
  • 2E+80+E+40+E=300
  • 4E+120=300
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  • E=45

Emily has 45 stickers. But we want to know what Peter has.

Use P=2(E+40)

  • P=2(45+40)
  • P=90+80
  • P=170

Peter has 170 stickers.

4 0
4 years ago
What is the median of this set of data?<br>NA<br>66,51, 77, 68, 60, 75, 54, 80​
vagabundo [1.1K]
The median is of this set of data is 67
8 0
3 years ago
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What is the equation of this line?
ikadub [295]

Answer:

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Step-by-step explanation:

m=y2-y1/x2-x1

fill in the two points for the y's and the x's

then proceed to y = mx+b

Where:

m is the slope, and

b is the y-intercept

then you solve and <u>bam</u>!

8 0
3 years ago
How do I factor this polynomial? q^2-121
Tresset [83]
q^2-121 =q^2-11^2=(q-11)(q+11)\\ \\ \\a^2-b^2 =(a-b)(a+b)


5 0
3 years ago
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