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3 years ago

Akira is folding a piece of paper that is 0.2 millimeters thick in half. The thickness of the paper doubles with each fold.

Mathematics

1 answer:

Pepsi [2]3 years ago

3 0

Answer:

B. t(n) = 0.2(2)ⁿ

Step-by-step explanation:

Initial value is 0.2 and increase rate is powers of 2 as it doubles with each fold.

<u>Correct one is:</u>

t(n) = 0.2(2)ⁿ

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Please help. Not sure how to do this one

Sladkaya [172]

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Step-by-step explanation:

Given

$f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2$

We have to find

$(hofog)(x)$

This will be equal to:

$h(f(g(x)))$

So we have to find the composition of (fog)(x) first

$(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}$

Now,

$(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}$

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Keywords: Composition, Functions

Learn more about function composition at:

#LearnwithBrainly

8 0

3 years ago

Kelly has 4 times as many songs on her music player as Lou

jeka57 [31]

Answer:4 times x

4(x)

Step-by-step explanation:

4 times as many songs on Lou's music player

Lou's music player is x

7 0

3 years ago

Write a polynomial of degree 3 whose only roots are x=2 and x=2/5. Is there another polynomial of degree 3 that has the same roo

TEA [102]

One such polynomial might be

$(x-2)\left(x-\dfrac25\right)^2$

Another with the same roots would be

$(x-2)^2\left(x-\dfrac25\right)$

7 0

3 years ago

Read 2 more answers

An architect is sketching a blueprint of a patio for a new fence. On the blueprint, C is the midpoint of segment AD. Point B is

Slav-nsk [51]

The length of AD is 32 feet

Step-by-step explanation:

An architect is sketching a blueprint of a patio for a new fence

On the blueprint, C is the midpoint of segment AD
Point B is the midpoint of segment AC
BC = 8 feet

We need to find the length of AD

A mid-point divides a line segments into two equal parts in length

∵ C is the mid-point of AD

- The mid-point C divides the line segments AD into two equal parts

∴ AC = CD

∵ B is the mid point of AC

∴ AB = BC

∵ BC = 8 feet

∴ AB = 8 feet

- AC contains AB and BC

∵ AC = AB + BC

∴ AC = 8 + 8 = 16

∵ AC = CD

∵ AC = 16

∴ CD = 16

- AD contains AC and CD

∵ AD = AC + CD

∴ AD = 16 + 16 = 32

The length of AD is 32 feet

Learn more:

You can learn more about the mid-point in brainly.com/question/3269852

#LearnwithBrainly

3 0

4 years ago

Anyone who plays or watches sports has heard of the "home field advantage." Teams tend to win more often when they play at home.

AveGali [126]

Answer:

H0 : μ = 0.5

H0 : μ > 0.5

Kindly check explanation

Step-by-step explanation:

H0 : μ = 0.5

H0 : μ > 0.5

We perform a right tailed test :

Sample proportion :

Number of games won, x = 142

Number of games, n = 250

phat = x / n = 142 / 250 = 0.568 = 56.8%

Yes, it is consistent

Test statistic :

(phat - p) * √Phat(1-Phat)/n

1 -Phat = 1 -0.568 = 0.432

(0.568 - 0.5) /√(0.568*0.432)/250

0.068 / 0.0313289

= 2.17

The Pvalue using the z test statistic :

Pvalue = 0.015

α = 0.03

Since ;

Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.

8 0

3 years ago