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2 years ago

What is the constant of proportionality between y and x in the graph

Mathematics

1 answer:

VMariaS [17]2 years ago

4 0

Answer:

y/x =2/3

Step-by-step explanation:

you just need see at one point. for example: (3, 2)

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A cone with a diameter of 12 inches has a volume of 640.88 cubic inches. find the height of the cone

BlackZzzverrR [31]

Answer:

The height of the cone is $17\ in$

Step-by-step explanation:

we know that

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

In this problem we have

$r=12/2=6\ in$ ----> the radius is half the diameter

$V=640.88\ in^{3}$

assume $\pi=3.14$

substitute the values and solve for h

$640.88=\frac{1}{3}(3.14)(6)^{2}h$

$h=640.88*3/((3.14)(36))=17\ in$

8 0

2 years ago

What is the equation of a line parallel to y=1/2×+6 that passes through (-4,1)

IgorC [24]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

$y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)

$(\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-1=\cfrac{1}{2}(x+4)\implies y-1=\cfrac{1}{2}x+2\implies y=\cfrac{1}{2}x+3$

5 0

1 year ago

How many times greater is the value of the 3 in 4,367 than the value of the 3 in 39?

Lesechka [4]

Answer: Roughly 111.97

Step-by-step explanation:

1. 39 divided by 3 is 13.

2. 4367 divided by 3 is not evenly distributed. Rounding, it would work out to be roughly 1455.66

3. 1455.66 divided by 13 is roughly 111.97 (Again, this does not distribute evenly)

4. To check your work, multiply 111.97 times 13 and you should get somewhere around 1455.66 which is (4367 divided by 3).

Hopefully this helps! Feel free to mark brainliest! :)

8 0

3 years ago

What is 89972 rounded by the 3rd significant number

BlackZzzverrR [31]

the answer is 90000 or 9e+4. hope I helped!

5 0

3 years ago

If Jorge walks 1 mile in 1 hour. In 2 hours at the same place, How many yards can Jorge walk now

julsineya [31]

Answer:

3520 yards

Step-by-step explanation:

1 mile in 1 hour.

In 2 hours he will cover 2×1= 2 miles

1 mile = 1760 yards

2 miles = 3520 yards

3 0

3 years ago

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What is the constant of proportionality between y and x in the graph​

What is the constant of proportionality between y and x in the graph