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dsp73
3 years ago
5

An 8 foot piece of cotton cloth costs $ 3.84. What is the price per inch?

Mathematics
1 answer:
Alla [95]3 years ago
5 0
It would cost 0.04 cents per inch (or .48 cents per foot)
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Write the first five terms of the geometric sequence in which a1=8 and the common ratio is -1/2.
Oliga [24]

Answer:

First five terms are:

8 , (-4) , 2 , (-1) , (1/2)

Step-by-step explanation:

a_{1}=8 \\\\r = \frac{-1}{2}\\\\a_{2}=\frac{-1}{2}*a_{1}= \frac{-1}{2}*8= -4\\\\a_{3}=\frac{-1}{2}*a_{2}=\frac{-1}{2}*-4=2\\\\a_{4}=\frac{-1}{2}*a_{3}=\frac{-1}{2}*2=-1\\\\a_{5}=\frac{-1}{2}*a_{4}=\frac{-1}{2}*-1=\frac{1}{2}

4 0
3 years ago
To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square
ladessa [460]
Since we will be completing the square we need to isolate the x

y-5 = 2x^2 -4x

now we the coefficient of the x^2 to equal 1 so we take 2 as common factor

y-5 = 2(x^2 -2x)

now we'll make it perfect square by adding 2 to both sides

y-5+2=2(x^2-2x+1)

now simplify and convert the right side to squared expression

y-3 = 2(x-1)^2

now isolate the y

y = 2(x-1)^2 +3   that's it
5 0
3 years ago
Find parametric equations for the sphere centered at the origin and with radius 3. Use the parameters s and t in your answer.
sdas [7]
Radius, r = 3

The equation of a sphere entered at the origin in cartesian coordinates is

x^2 + y^2 + z^2 = r^2 

That in spherical coordinates is:

x = rcos(theta)*sin(phi)
y= r sin(theta)*sin(phi)
z = rcos(phi)

where you can make u = r cos(phi) to obtain the parametrical equations

x = √[r^2 - u^2] cos(theta)
y = √[r^2 - u^2] sin (theta)
z = u

where theta goes from 0 to 2π and u goes from -r to r.

In our case r = 3, so the parametrical equations are:

Answer:
x = √[9 - u^2] cos(theta)
y = √[9 - u^2] sin (theta)
z = u
6 0
3 years ago
Read 2 more answers
Kareen says that (3 + 2) + 6 = 3 + (2 + 6). What property of addition is he using?
Anvisha [2.4K]

Answer: Im pretty sure thats associative property.

3 0
2 years ago
If 4x +5=9x-2,then x=
user100 [1]
<span>4x +5=9x-2
9x - 4x = 5 + 2
5x = 7
  x = 7/5
  x = 1.4</span>
5 0
3 years ago
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