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Aleksandr [31]
3 years ago
10

Find ( f . g) (x) where f(x) = 1/x^2 + 3 and g (x) = sqrt x-2

Mathematics
1 answer:
melamori03 [73]3 years ago
7 0

Answer:

Step-by-step explanation:

( f . g) (x)  is the "product" of functions f(x) and g(x):

                     

                      1

( f . g) (x) = ------- * √(x - 2)

                   x^2

or:

                   √(x - 2)  

( f . g) (x) = ------------

                     x^2

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Write the ratio 42 inches to 9 feet as a fraction in simplest form. Explain why you get the same result whether you convert feet
V125BC [204]
Let's convert one of these numbers:
1 foot = 12 inches

9 feet were 9*12=108 inches

so the ratio would be 42: 108

or we can simplify it: divide by 2:
21:54

divide by 3:
7:18

A ratio always stays the same no matter the unit or currency, so it doesn't matter which unit we convert it to.
4 0
2 years ago
Maggie and Amelia filled up 40 water balloons shaped like spheres. Each water balloon had a radius of 6.5 cm.​
jenyasd209 [6]

The total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm.

Radius of 1 sphere = 6.5 cm

We know that the volume of the sphere is given by 4/3 π r³

We will take the radius as 6.5 cm and π as 22/7

Now we will find the volume : 4/3 ×22/7×6.5³ = 1150.81 cubic cm.

Volume of 40 such spheres = 40 × 1150.81 = 46032.38 cubic cm.

The radius of all the spheres are 46032.38 cubic cm.

A sphere is a geometrical entity with three dimensions that resembles a two-dimensional circle. A sphere is a group of points in three dimensions that are all situated at the same r-distance from one another.

The supplied point is the sphere's center, while the letter r stands for the sphere's radius which is half the diameter. The earliest known allusions to spheres are found in the works of two ancient Greek mathematicians.

Therefore total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm .

Disclaimer: The complete question is : Maggie and Amelia filled up 40 water balloons shaped like spheres. Each water balloon had a radius of 6.5 cm.​Find the total volume of water required.

To learn more about sphere visit:

brainly.com/question/9994313

#SPJ9

3 0
1 year ago
Please Answer This Ixl Asap!!!
Evgen [1.6K]

Answer:

EH = 120 degrees

Step-by-step explanation:

angles in a circle add up to 360 degrees

arc EF + arc FG + arc GH + arch EH = 360

95 + 90 + 55 + EH = 360

240 + EH = 360

subtract 240 from both sides to isolate EH

EH = 120 degrees

4 0
2 years ago
What is the approximate value of the median?<br><br> A 18<br> B 20<br> C 25<br> D 27
Crazy boy [7]
Answer: from what i remember, the median is that line thats right in the center of the box so 25?
3 0
2 years ago
Read 2 more answers
Math<br> order of operations-Basic four operators<br> 6x8-12divedby3+ 9
drek231 [11]

Answer:

21

Step-by-step explanation:

6 times 8 = 48-12=36 divided by 3 =12+9=21

4 0
2 years ago
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