What is Steve's mean speed if he bikes 55.5 miles in 3.7 hours? Round your answer to two decimal places, if necessary.

Answer:

1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.

Square the equality √2 + √3 = r − √5 to obtain 5 + 2

√6 = r2 + 5 − 2r

√5. It follows

that 2√6 + 2r

√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r

√30

is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is

irrational can now be applied to show that this is not true. Write √30 = m

n in lowest

terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because

2( m

2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest

terms, a contradiction. We conclude that the initial assumption was false, and therefore

√2 + √3 + √5 is irrational.

Step-by-step explanation:

Answer:

ti 5

Step-by-step explanation:

its 5

THINGS TO REMEMBER:

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Question: Write an expression for how much it would cost to park for 3d hours on a holiday during peak hours.

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Answer: 3d × 2  or  3d + 3d

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Explanation: This is because during holidays the amount of d doubles. However since this is on a holiday DURING peak hours it would be 3d × 2

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Question 2: Then, if the basic off-hours parking rate is $2.50 per hour, how much would a person pay to park for 3d hours in the situation described above?

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Answer: $15

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Explanation: Since d represents dollars we would multiply 2.50 times 3 which would give us 7.5 then we double this since it is during holidays giving us $15

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NOTE: I AM SO SORRY IF THIS IS WRONG AND I MISSED SOMETHING. IF IT IS WRONG THEN PLEASE MAKE SURE TO TELL ME SO I CAN FIGURE OUT WHAT I MISUNDERSTOOD

Again I'm sorry but I hope I helped a little bit.    

Answer:

23

Step-by-step explanation:

Answer:

use photomath

Step-by-step explanation:

all you.do is download it then scan your problem its that simple

Answer:

D. 25p² - 1

Step-by-step explanation:

Each side length of a square = 5p

Length of rectangle = 5p + 1

Width of the rectangle = 5p - 1

Area of rectangle = Length × Width

Area of rectangle = (5p + 1)(5p - 1)

= 5p(5p - 1) +1(5p - 1) (distributive property)

= 25p² - 5p + 5p - 1

Area = 25p² - 1

Answer:

I believe this is a METAPHOR cause you cant really throw your voice as rope.

Answer:

House of Scorpion I know this one, It's a Metaphor. And if your looking for the rest of the answers go to quizziz House of scorpion final exam if you want all answers

Step-by-step explanation:

Answer:

[tex]x = 2.5[/tex]

Step-by-step explanation:

Given

[tex]AC = 2x - 1[/tex]

[tex]AB = 2x + 1[/tex]

[tex]BC = 2\sqrt{7[/tex]

[tex]\angle A = 60^{\circ}[/tex]

Required

Find x

To find x, we make use of cosine formula which states:

[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]

In this case:

[tex]BC^2 = AB^2 + AC^2 - 2*AB*BC*CosA[/tex]

Substitute values

[tex](2\sqrt{7})^2 = (2x + 1)^2 + (2x-1)^2 - 2*(2x + 1)*(2x - 1)*Cos(60^{\circ})[/tex]

Evaluate all exponents

[tex]4*7 = (4x^2 + 4x + 1)+(4x^2 - 4x + 1) - 2(4x^2 - 1)*cos(60^{\circ})[/tex]

Open brackets

[tex]28 = 4x^2 + 4x + 1+4x^2 - 4x + 1 - (8x^2 - 2)*cos(60^{\circ})[/tex]

Collect Like Terms

[tex]28 = 4x^2 +4x^2+ 4x - 4x+ 1 + 1 - (8x^2 - 2)*cos(60^{\circ})[/tex]

[tex]28 = 8x^2+ 2 - (8x^2 - 2)*cos(60^{\circ})[/tex]

Substitute 0.5 for cos(60)

[tex]28 = 8x^2+ 2 - (8x^2 - 2)*0.5[/tex]

Open bracket

[tex]28 = 8x^2+ 2 - 4x^2 + 1[/tex]

Collect Like Terms

[tex]8x^2- 4x^2 + 2 + 1 - 28 = 0[/tex]

[tex]4x^2 -25 = 0[/tex]

Collect Like Terms

[tex]4x^2 =25[/tex]

Divide both sides by 4

[tex]x^2 =\frac{25}{4}[/tex]

[tex]x^2 =6.25[/tex]

Take positive square root of both sides

[tex]x = \sqrt{6.25[/tex]

[tex]x = 2.5[/tex]

Answer:

1.3

Step-by-step explanation:

just divide 31 by 24

This will give you the decimal: 1.291666667

Since the number 2 is right of the decimal point, it is in the tenths place.

Therefore, since the number next to the 2 is 9, you would round the 2 up and get 1.3 as your answer.

Answer:

Answer is 10/12 , 15/18 , 20/24 , 25/30 .

Step-by-step explanation:

1. 5/6 { Multiply both numerator and denominator with 2 }

5/6 = 10/12

2. 5/6 { Multiply both numerator and denominator with 3 }

5/6 = 15/18

3. 5/6 { Multiply both numerator and denominator with 4 }

5/6 = 20/24

4. 5/6 { Multiply both numerator and denominator with 5}

5/6 = 25/30

Answer:

-1

Step-by-step explanation:

[tex] - 2 \leqslant 0 < 1[/tex]

g(x)=0-1=-1

The value of the function g(0) is -1.

A relation is a function if it has only One y-value for each x-value.

The given function g(x) = 3x-2,  -4≤x<-2

g(x) = -x-1,  -2≤x<1

g(x)=6, 1≤x≤3

We need to find value of g(0).

Let us check at which interval the value zero lies.

The zero lies in the interval  -2≤x<1.

So we have to use the function g(x)=-x-1

Now put x as zero

g(0)=-0-1

=-1

Hence, the value of the function g(0) is -1.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

Answer:

No is not the solution to that system

Step-by-step explanation:

Answer:

The slope is 1/2

Step-by-step explanation:

Hi!

Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.

First, you plot the two coordinates on the graph:

(0,0) and (2,1)

The formula for slope is [tex]\frac{y1 - y2}{x1 - x2}[/tex]

Now we plug in numbers accordingly:

[tex]\frac{0 - 1}{0 - 2}[/tex]

Simplify:

[tex]\frac{-1}{-2} \\[/tex]

Simplify:

[tex]\frac{1}{2}[/tex]

Let me know if you have any questions

Answer:

shifted left 7 & shifted down 3

Step-by-step explanation:

Answer:

where is the image that can show the triangle?? how can we answer your question if its incomplete?

Answer:

C.

Step-by-step explanation:

Hi there!

To find the answer to this, plug the number values in for n and then solve.

For the answer to be correct, the sum has to be less than 26.

Answers B and D both have numbers that would be equal to 26, so they aren’t right.

Answer A has numbers that would go over 26.

Every number in C can be added to 15 and the sum would be less than 26.

I hope this helps!

Answer:

14.2 miles

Step-by-step explanation:

14.4 + m = 28.6  is your equation

Then subtract 14.4 from both sides

m = 14.2

Answer: 84

Step-by-step explanation: you multiply 96 by 1/8 to get 12 then you subtract 96 by 12 to get 84, so you have 84 fifth graders :)

Answer:

The slope is 9 3/4 or 9.75

Step-by-step explanation:

slope= rise/run or y/x

29.25/3=9.75 or 9 3/4

Answer:

$26.99

Step-by-step explanation:

i multiplied $89.99×.7 to get $62.993 and subtracted that from the regular amount.

hope this is right and helps :)

Answer:

Step-by-step explanation:

89.99(1-70/100)

89.99(30/100)

$26.997

$27 (rounded to nearest cent)

Answer:

x=9

Step-by-step explanation:

distribute: 3x-6+7=2x+10

add like terms: 3x+1=2x+10

add the x's and the integers: x=9

Answer:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]

Step-by-step explanation:

Given

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx[/tex]

Required

Solve

Let

[tex]u = \frac{x^2}{4}[/tex]

Differentiate

[tex]du = 2 * \frac{x^{2-1}}{4}\ dx[/tex]

[tex]du = 2 * \frac{x}{4}\ dx[/tex]

[tex]du = \frac{x}{2}\ dx[/tex]

Make dx the subject

[tex]dx = \frac{2}{x}\ du[/tex]

The given integral becomes:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]

Recall that: [tex]u = \frac{x^2}{4}[/tex]

Make [tex]x^2[/tex] the subject

[tex]x^2= 4u[/tex]

Square both sides

[tex]x^4= (4u)^2[/tex]

[tex]x^4= 16u^2[/tex]

Substitute [tex]16u^2[/tex] for [tex]x^4[/tex] in [tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du[/tex]

Simplify

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

In standard integration

[tex]\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)[/tex]

So, the expression becomes:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)[/tex]

Recall that: [tex]u = \frac{x^2}{4}[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]

Answer:

the one on the bottom and Lewis made one less of whatever Bryan made

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

bryan- 7x4=28

lewis- 6x4=24

28+24=52

Yes.

Ab = cd and bc = ad

Using SAS postulate triangles formed by ABC = abd

Opposite sides are equal and each angle is 90 degrees so by definition it is a rectangle.

Answer:

(14120/100)*96 = £13,555.20

Step-by-step explanation:

Answer:

£13,555.20

Step-by-step explanation:

14120*4=56480

56480+14120=70,600

then 70,600+20

on a cauculaiter it will give you 70,620 but it is 70,600.20

then 14,1000.50-1,555.30=13,55.20

hope it is helpfull

Answer:

The top right one 3(x+4)=30

Step-by-step explanation:

Answer:

The answer should be the one on the top right.

Step-by-step explanation:

So we know that the whole entire model equals 30, and each of the three sections are s+4. So, in order to get 30, the equation has to have something to do with three times s+4. We can eliminate the one on the top left because the model does not have a 12 involved. We can also eliminate the bottom left because it only represents one of the three s+4s. The bottom right can be taken off because the 3 in that equation is only multiplied to s, and not s+4. The top right works because it is saying that s+4 multiplied by 3 times is equal to 30. There you go! I hope this helps❤️

Answer: (Responder)

4x + y + 15 – 4z

Step-by-step explanation: (Explicación paso a paso)

(2x + 5y – 4z) + (9 + 2x – 4y + 6)

Group Like Terms (Agrupar términos similares)

2x + 2x + 5y – 4y – 4z + 9 + 6

Add Similar Elements (Agregar elementos similares)

4x + 5y – 4y – 4z + 9 + 6

4x + y – 4z + 9 + 6

Add The Numbers (Suma los números)

4x + y + 15 – 4z

Answer:

the probability that a randomly selected potential customer will purchase the product is 0.11728

Step-by-step explanation:

Given the data in the question;

by hypothesis, let the event be given as;

M = buyers sees a given magazine ad of the product

T = buyers sees a given television ad of the product

[tex]P_{A}[/tex] = buyer purchases the product after seeing the ad

[tex]P_{A"}[/tex] = buyer purchase the product without seeing the ad

from the information given in the question;

P(M) = (2/50 ) = 0.04,  P(T) = ( 1/7) = 0.1428,  P(M∩T) = (1/100) = 0.01,

P([tex]P_{A}[/tex]) = (1/5) = 0.2, p( [tex]P_{A"}[/tex]  ) = (1/10) = 0.1

now, the probability that the buyer sees the ad of the product will be;

P( M ∪ T ) = P( M) + P(T) - p( M ∩  T)

P( M ∪ T ) = 0.04 + 0.1428 - 0.01

P( M ∪ T ) = 0.1728

The probability that the buyer does not see the ad of the product will be;

P( M ∪ T )' = 1 - P( M ∪ T )

= 1 - 0.1728

= 0.8272

Now, the probability that a randomly selected potential customer will purchase the product will be;

P(P) = P([tex]P_{A}[/tex]) P( M ∪ T ) + p( [tex]P_{A"}[/tex]  )P( M ∪ T )'

P(P) = (0.2)(0.1728) + (0.1)(0.8272)

= 0.03456 + 0.08272

P(P) = 0.11728

Therefore, the probability that a randomly selected potential customer will purchase the product is 0.11728

Answer:

9%

Step-by-step explanation: