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RideAnS [48]
3 years ago
15

Molly wishes to make a lawn ornament in the form of a solid sphere. The clay being used to make the sphere weight 0.075 pound pe

r cubic inch. If the sphere radius is 4 inches, what is the weight of the sphere, to the nearest pound? A)20 B)15 C)4 D)34
Mathematics
1 answer:
sasho [114]3 years ago
3 0
The first thing to do in this case is to find the volume of the sphere.
 We have then:
 V = (4/3) * (pi) * (r ^ 3)
 V = (4/3) * (pi) * ((4) ^ 3)
 v = 268 in ^ 3
 Then, the but of the sphere will be given by:
 W = (0.075) * (268)
 W = 20
 Answer: 
 the weight of the sphere, to the nearest pound is: 
 A) 20
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F(x) = { -2x -1, x ≤ 2
Degger [83]

Answer:

Use the appropriate entry method for piecewise functions for the graphing calculator of interest.

Step-by-step explanation:

For Desmos, the entry looks like ...

f(x) = {x ≤ 2: -2x-1,-x+4}

_____

For a TI-84 calculator, the entry may look like ...

Y₁ = (-2X–1)(X≤2) + (-X+4)(X>2)

The symbols ≤ and > come from the TEST menu, which is the (2nd) shift of the MATH key.

Note that the function is the sum of the pieces, each piece multiplied by a test. For something like 0≤x<2, the multiplier would be a pair of tests:

... (0≤X)(X<2)

8 0
3 years ago
A ball rolls over the edge of a platform with only a horizontal velocity. The height of the platform is 1.6 m and the horizontal
Sever21 [200]

Answer:

35 m/s

Step-by-step explanation:

Let gravitational acceleration g = 9.8m/s2. We can calculate the amount of time for the ball to fall vertically a distance of 1.6 m

1.6 = 9.8t^2/2

t^2 = 2*1.6/9.8 = 0.327

t = \sqrt{0.327} = 0.571s

This is also the time it takes for the ball to fly horizontally, assume constant horizontal speed, we can calculate the speed it takes to travel across 20m in 0.571s

v = 20 / 0.571 = 35 m/s

4 0
3 years ago
50 POINTS AND BRAINIEST PLEASE HELP
exis [7]

Answer:

<h2><u>y = -2x</u></h2>

Step-by-step explanation:

If you notice very carefully then you will see that the line passes through the points :

( 1 , - 2 )

( - 1 , 2 )

Hence the value of x = 1 when the value of y = - 2 .

We know that - 2 × 1 = - 2

⇒ - 2 x = y

⇒ y = - 2x

Hence the first OPTION is correct .

Verification :

For points ( - 1 , 2 ) we can write :

y = - 2x

⇒ 2 = - 2 × - 1

⇒ 2 = 2

Hence the answer is verified .

Always try to use the converse of the graphical method .

( Nothing converse is there ... just saying the opposite steps of that method :P )

I mean in graphical method we plot points and then join , here identify the joined points and then make the equation .

5 0
3 years ago
Given the function f(x) = 4(x + 3) -5, solve for the inverse function when x=3
daser333 [38]

Answer: Your answer would be -120

Step-by-step explanation: Remove Parentheses (3 + 3) add them together and make it 6 and plug in the 6 into the equation. -4 x 6 x 5. Then, you multiply the numbers together and get -120. There is no inverse for -120 since both sides aren't equal.

I hope this helps you!!

6 0
3 years ago
Please help me out !!!
asambeis [7]

Answer:

i cant see the exponent sorry

Step-by-step explanation:

5 0
3 years ago
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