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Agata [3.3K]
2 years ago
6

Two students, Matt and billy , each calculated the volume of a spherical ball with a diameter of 15 centimeters. their work is s

hown below

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
8 0

Answer:

Matt made the error

Step-by-step explanation:

Matt used the diameter of the sphere instead of the radius.

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Solve <br><br> 0.6(10n + 25) = 10 + 5n ?
Pachacha [2.7K]

Answer: x=-5

<u>Simplify both sides of the equation</u>

(0.6)(10n)+(0.6)(25)=10+5n(Distribute)\\6n+15=10+5n\\6n+15=5n+10

<u>Subtract 5n from both sides</u>

6n+15-5n=5n+10-5n\\n+15=10

<u>Subtract 15 from both sides</u>

n+15-15=10-15\\n=-5

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3 years ago
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In the following diagram HI || JK.<br><br>What is the measure of x?​
otez555 [7]

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64

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How many times can 7 go 48 with out going over?
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48÷7= 6.85
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Identify the exponential function for the given graph.
Korolek [52]

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C - 3(2^x).

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3 years ago
On Mars the acceleration due to gravity is 12 ft/sec^2. (On Earth, gravity is much stronger at 32 ft/sec^2.) In the movie, John
insens350 [35]

Solution :

Given initial velocity, v= 48 ft/s

Acceleration due to gravity, g = $12\ ft/s^2$

a). Therefore the maximum height he can jump on Mars is

     $H_{max}=\frac{v^2}{2g}$

     $H_{max} = \frac{(48)^2}{2 \times 12}$

               = 96 ft

b). Time he can stay in the air before hitting the ground is

   $T=\frac{2v}{g}$

  $T=\frac{2 \times 48}{12}$

     = 8 seconds

c).  Considering upward motion as positive direction.

     v = u + at

We find the time taken to reach the maximum height by taking v = 0.

     v = u + at

     0 = 16 + (12) t

     $t=\frac{16}{12}$

        $=\frac{4}{3} \ s$

We know that, $S=ut + \frac{1}{2}at^2$

Taking t =  $=\frac{4}{3} \ s$  , we get

$S=16 \times\frac{4}{3} + \frac{1}{2}\times(-12) \times \left(\frac{4}{3}\right)^2$

$S=\frac{32}{3}$  feet

Thus he can't reach to 100 ft as it is shown in the movie.

d). For any jump whose final landing position will be same of the take off level, the final velocity will be the initial velocity.

Therefore final velocity is = -16 ft/s

3 0
3 years ago
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