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3 years ago

What is the fractional equivalent of 0.2323...?

Mathematics

1 answer:

pentagon [3]3 years ago

5 0

Answer:

2323/10000

Step-by-step explanation:

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If f(x) = 2x2 and g(x)= x2 + 2x, which expression represents f(g(x))?

andre [41]

Answer:

f(g(x)) = 2(x^2 + 2x)^2

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Step-by-step explanation:

Given;

f(x) = 2x^2

g(x) = x^2 + 2x

To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).

f(g(x)) = 2(g(x))^2

f(g(x)) = 2(x^2 + 2x)^2

Expanding the equation;

f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)

f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)

f(g(x)) = 2(x^4 + 4x^3 + 4x^2)

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Hope this helps...

7 0

3 years ago

a function f(x) is described by the ordered pair (x,y). if given the function is translated 2 units to the right and then reflec

OleMash [197]

The ordered pairs would be (x-2, -y).

Translating a graph to the right subtracts the number of units from the x-coordinate.

Reflecting across the x-axis negates the y-coordinate.

3 0

3 years ago

Two planes are the same altitude. From the airport , one plane is 50 km away in the direction of N°60 E and another is 80 km awa

djverab [1.8K]

9514 1404 393

Answer:

78.5 km

Step-by-step explanation:

Measured at the airport, the angle between the two planes is ...

180° -60° -50° = 70°

The law of cosines tells us the distance between the planes is ...

d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km

The planes are about 78.5 km apart.

6 0

2 years ago

A company that produces computers recently tested the battery in its latest laptop in six separate trials. The battery lasted 8.

Anna35 [415]

confidence interval for the mean battery life in the new model is [7.9489, 8.3045].

What is confidence interval ?

A confidence interval, in statistics, refers to the chance that a population parameter can fall between a collection of values for an exact proportion of times.

Main body:

Formula for confidence interval is =

CI = x- bar ± z*s/√n where,

CI = confidence interval

x- bar = sample mean

z = confidence level value

{s} = sample standard deviation

{n} = sample size

given ;

n = 6

mean = (8.23+7.89+8.14+8.25+8.30+ 7.95)/6

= 8.127

value of z for 95% C.I. = 1.96

C.I. = 8.127 ± 1.96 * 0.22/√6

C.I. = 8.127 ± 0.1781

C.I. =[7.9490, 8.3044]

Hence correct option is A.

To know more about confidence interval , visit:;

brainly.com/question/15712887

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8 0

1 year ago

Consider these dimensions for a cylindrical aquarium.

vagabundo [1.1K]

The amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.

<h3>What is a Cylindrical figure ?</h3>

A cylinder is a three dimensional figure with two identical circular faces at each end , and a curved surface.

It does not have an edges or vertices.

It is given in the question that

A cylinder with height 14 feet and radius 25 feet.

The volume of a cylinder.

V = π252(14)

The water than can be filled is equal to the volume of the cylinder

V = 11088 cu.ft

There the amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.

To know more about Cylindrical Figure

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6 0

2 years ago