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Readme [11.4K]
2 years ago
5

Answer the following question. Click on symbol to choose correct answer. Given: R = {(x, y): y = -x^2} What is the range of R? y

__ 0 y≥R y≤R y∈R y≠R y=R
Mathematics
1 answer:
3241004551 [841]2 years ago
3 0

Answer: c

I answered c and got a 100 so it has to be it

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A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical met
belka [17]

Answer:

808

Step-by-step explanation:

The volume of the initial cylindrical metal must be equal to the total volume of the cubes.

Let the number of cubes made be x. Therefore:

V_C = V_c * x

where V_C = volume of the cylinder

V_c = volume of each cube

Each of the cubes have sides of length 3 cm.

The volume of a cube is given as:

V_c = L^3

where L = length of side of cube

Therefore, the volume of each cube is:

V_c = 3^3 = 27 cm^3

The volume of a cylinder is given as:

V_C = \pi r^2h

where r = radius

h = height of the cylinder

The volume of the cylinder is:

V_C = \pi * 10.5^2 * 63 = 21823.55 cm^3

Therefore:

21823.55 = 27 * x

=> x = 21823.55 / 27

x = 808.27

Since the number of cubes can only be a whole number, the number of cubes that will be made is 808.

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2 years ago
A portfolio manager summarizes the input from the macro and micro forecasters in the following table
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The awnser to this question is Macro Forecasts
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2 years ago
It takes a ship 4 hours to cover 420 km with the current and 6 hours against the current. Find the speed of the ship in still wa
KiRa [710]
Let s be the speed of the ship, and c be the speed of the current. 

We know that distance equals speed multiplied by the time. 

With the current
     \left(s+c\right)\left(4\:hours\right)=420\:km
     or
     s+c=105
This is our first equation.

Now, against the current, we have
     \left(s-c\right)\left(6\right)=420
     or
     s-c=70
This is our second equation. 

We solve the equations simultaneously, by adding them together
     2s-0c=175

     s=87.5\:km/hr

Substitute s=87.5 to the first equation to solve for c.
     87.5+c=105

     c=17.5\:km/hr

The speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr. 
     
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Use the linear regression feature on a graphing calculator to find the correlation coefficient for the data. Round your answer t
atroni [7]
7.5442 this means that there is two variables in between
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1 year ago
the brochure advertises a holiday costing £380. there is a discount of 12% if the holiday is booked by the end of the month. how
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12% of an item purchased at $380 is equal to $45.60 you will pay $334.40
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