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Lelechka [254]
3 years ago
12

The volume of the sphere is 500/3pi cubic units. What is the value of x

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Answer:

Step-by-step explanation:

Formula for the volume of a sphere is V = (4/3) (π) r³

                                                                        3V           4²

and so the cube of the radius, "r," is   r³ = ------------- * -----

                                                                           4           4²

Taking the cube root of both sides, we get        

                                                ∛[3V / 4²]                3V

and so the radius, "r," is   r = ------------------ =  ∛ ( --------- )  = (1/4)*∛(3*v)

                                                      ∛[4³]                   4³

Then

r = (1/4)*∛(3*V), after substituting 500/(3π) for V, becomes:

r = (1/4)*∛[ 3*500/3π ]  =   (1/4)*∛[ 500/π ]

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A rope is 84 meters long is cut int two pieces so that one piece is 18 meters longer than the other. What is the length of each
Tpy6a [65]

Answer:

33 meters

51 meters

Step-by-step explanation:

84-18= 66

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Check your answer:

51+33=84

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30 points<br> can somebody please help me<br> question below
Inessa05 [86]

Find the total number of dogs by adding each day:

Total dogs = 23

Percent of dogs: Divide the number of dogs by the total number of patients:

= 23 / 50 = 0.46 x 100 = 46%

Use the given formula to find the standard error:

Standard error = √(0.46*(1-0.46)/50) = 0.07

90%: Find Z value for 90% ( 1.645) multiply by SE:

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Now add and subtract that value from the Percent from above:

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46-12 = 34%

Answer (34%, 58%)

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Now add and subtract that value from the Percent from above:

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3 years ago
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the taxi charges a flat fee of $3.75, plus $1.50 per kilometer driven. What is the total cost of a 10 km trip?
Lubov Fominskaja [6]

Answer:

$18.75

Step-by-step explanation:

Let

y = Total cost

x = number of kilometers

The equation:

y = 3.75 + 1.50x

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y = 3.75 + 1.50(10)

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3 years ago
A projectile is launched into the air. The function h(t) = –16t2 + 32t + 128 gives the height, h, in feet, of the projectile t s
Zinaida [17]

Answer:

t = 4 seconds

Step-by-step explanation:

The height of the projectile after it is launched is given by the function :

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t is time in seconds

We need to find after how many seconds will the projectile land back on the ground. When it land, h(t)=0

So,

-16t^2+32t+128=0

The above is a quadratic equation. It can be solved by the formula as follows :

t=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Here, a = -16, b = 32 and c = 128

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Neglecting negative value, the projectile will land after 4 seconds.

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