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Olenka [21]
4 years ago
5

I’ve never really understood range

Mathematics
1 answer:
Oduvanchick [21]4 years ago
8 0

Answer:

( -∞, 3]

Step-by-step explanation:

Range is all possible y values that the graph covers.

So in this graph the legs extend all the way to y value  -∞ (never mind the x value). However, the top is at y=3 and the graph is not extending above that. Hence the range is from  -∞ to and including 3.

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What is the volume of the sphere
EleoNora [17]
Hi there!

The formula for finding the volume of a sphere is 
V = 4/3 × pi × r³

Your problem gives you the radius, so you can just plug in the number into the formula.
r = 14

V = 4/3 × pi × 14³
4/3 × pi × 2744
3658.67 × pi
3658.67 × 3.14 = 11488.2238
You can round up the number to
11488.22

So the volume of the sphere is 11488.22mm³

5 0
4 years ago
Norgestrel and ethinyl estradiol tablets are available containing 0.5 mg of norgestrel and 50 μg of ethinyl estradiol. How many
Bogdan [553]

Answer:

5g of norgestel are used in making 10,000 tablets.

0.5g of ethinyl estradiol are used in making 10,000 tablets.

Step-by-step explanation:

This problem can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: Grams of norgestrel

Each tablet contais 0.5mg of norgestrel. How many miligrams are in 10,000 tablets?

1 tablet - 0.5 mg

10,000 tablets - x mg

x = 10,000*0.5

x = 5,000 mg

Now we have to convert 5,000 mg to g. Each g has 1,000 mg. So:

1g - 1,000 mg

xg - 5,000 mg

1,000x = 5,000

x = \frac{5,000}{1,000}

x = 5g,

5g of norgestel are used in making 10,000 tablets.

Final step: Grams of ethinyl estradiol

50ug = 0.05 mg.

So

1 tablet - 0.05mg

10,000 tablets - xg

x = 10,000*0.05

x = 500 g

Now we have to convert 500 mg to g. Each g has 1,000 mg. So:

1g - 1,000 mg

xg - 500 mg

1,000x = 500

x = \frac{500}{1,000}

x = 0.5g,

0.5g of ethinyl estradiol are used in making 10,000 tablets.

8 0
3 years ago
The graph of quadratic parent function f was transformed to create the graph of
Vera_Pavlovna [14]

Answer:H

Step-by-step explanation:

Y= (x+2)^2-5

2 to the left x+2=0 x=-2

5 dpwn

5 0
3 years ago
An algebra tile configuration where the 2 largest tiles are labeled plus x squared, there are 4 tiles labeled negative x, where
Sergio [31]

Answer:

The polynomial is 2x² - 4x - 6 ⇒ 1st answer

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Algebra tiles are used to model integers and variables to aid in

 learning how to write polynomials

- There are two largest tiles labeled plus x squared

- That means we have two x²

∴ There are 2x²

- There are 4 tiles labeled negative x, where each tile is half the size

 of the largest tiles

- That means we have 4 negative x

∴ There are 4 × -x = -4x

- There are 6 tiles labeled minus that are each one-quarter the size

 of the largest tile

- That means we have 6 negative signs (6 - ones)

∴ There are 6 × - ones = -6

∴ The polynomial = 2x² + (-4x) + (-6)

- <u><em>Remember:</em></u> (+)(-) = (-)

∴ The polynomial = 2x² - 4x - 6

* The polynomial is 2x² - 4x - 6

6 0
3 years ago
Read 2 more answers
The diameter of the circle that a shot-putter stands in is 7 ft. What is the approximate area of the circle?
Andrei [34K]

Answer:

24?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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