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diamong [38]
3 years ago
11

Consider firing a pumpkin from a canon at a target that is 17 meters away. The pumpkin follows a quadratic path as displayed to

the right. Will the pumpkin hit the target?
1a. Use the graphing calculator to make a table of the given ordered pairs (9.7, 15.1) (4.8, 12.4) (2.6,7.9) . Include (0,0) in your table.

b. Find the equation for the parabola. Round all coefficients to the nearest tenth.

c. Find the roots of the equation from part b.

d. Will the pumpkin hit the target?
Mathematics
1 answer:
vodomira [7]3 years ago
3 0
For the answer to the question above, 
1b. Is y = 0.20927x^2 + 3.587x + -0.0029068 

1c. (0,0) and (17.14,0) 

1.d No 

2a. (10,3) root (I'm not sure on this number but everything else is correct) 

2b. (-3,-49) vertex 

2c. (0,-40) y-intercept 

2d. (4,0) root 
I hope this helps
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So, x > 7 - 2; x >5 or

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3 years ago
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3 years ago
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Please help me with this
horrorfan [7]

Answer:

\dfrac{4000\pi}{3} ft³

Step-by-step explanation:

First, let's figure out how to get the <em>volume </em>of a sphere from its <em>surface area</em>. If r is the radius of our sphere, then

The formula for a sphere's surface area is A = 4\pi r^2

The formula for a sphere's volume is V=\frac{4}{3}\pi r^3

So to get from area to volume, we have to <em>divide the area by 3 </em>and then <em>multiply it by r.</em> Mathematically:

V=\frac{A}{3}r

Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area - 400\pi ft² - so we can use the area formula to find that radius:

A=4\pi r^2=400\pi\\r^2=100\\r=10

And now that we have our radius, we can put it into our volume formula to find

V=\frac{A}{3} r=\frac{400\pi}{3}(10)=\frac{4000\pi}{3} ft³

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