Prove the proposition p (0), where p (n) is the proposition "if n is a positive integer greater than 1, then n2 > n." what kind of proof did you use?

Answer: FALSE

Step-by-step explanation:

False

All integers are rational number, but not all rational numbers are integer

Counter example: 2/3 is a rational number but it is not a integer

Look at the picture for more concept of integer and rational number

Answer:

2

Step-by-step explanation:

27*1=27

3*9=27

Answer:

[tex]\frac{296}{15}[/tex] or [tex]19\frac{11}{15}[/tex]

Step-by-step explanation:

The distance around the rectangle is also known as the perimeter of the rectangle.

The formula for the perimeter of a rectangle is 2l+2w.  

The width of this rectangle is 3 1/5 feet and the length of this rectangle is 6 2/3 feet, so plug into the perimeter formula:

P=2l+2w

=2(6 2/3)+2(3 1/5)

=2(20/3)+2(16/5)

=40/3+32/5

--(LCD is 15)

= 5/5(40/3)+3/3(32/5)

=200/15+96/15

=296/15 or 19 11/15 feet

The distance around the rectangle is about [tex]\frac{296}{15}[/tex] or [tex]19\frac{11}{15}[/tex].

Answer:

The number before a variable. For example, 4x. 4 would be the coefficient, and x would be the variable.

Answer:

A numerical or constant quantity placed before and multiplying the variable in a algebraic expression

Answer:

Mean: 8,75

Median: 7,5

Step-by-step explanation:

To find Mean

To find the mean data you have to put data all set in order:

3, 4, 6, 6, 9, 12, 15, 15

Then, all of the numbers in the data set added together and then divided by how many numbers in the data that already put in order:

3 + 4 + 6 + 6 + 9 + 12 + 15 + 15 = 70

There are 8 numbers in the data so divide 70 by 8:

70 ÷ 8 = 8,75

----

To find Median

The median is in the middle number of the data that already in order. Which is number 6 and 9.

Median = (6 + 9) ÷ 2

Median = 15 : 2

Median = 7,5

Answer:

b = c(5 - a)

Step-by-step explanation:

Given

a + [tex]\frac{b}{c}[/tex] = 5 ( subtract a from both sides )

[tex]\frac{b}{c}[/tex] = 5 - a ( multiply both sides by c to clear the fraction )

b = c(5 - a)

The value of b form the equation a + b/c = 5  will be b = c(5 - a)

We can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

Given;

a + b/c = 5

subtract a from both sides;

b/c  = 5 - a

multiply both sides by c to clear the fraction;

b = c(5 - a)

Hence, The value of b form the equation a + b/c = 5  will be b = c(5 - a)

Learn more about evaluating a function at a value here:

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Answer:

A die is thrown which means that it can land on either 1-6 on the die.So if you want to find the probability of the multiple of 2 or 3....we have multiplies of 2 in the die from 1-6 which is 2,4 and 6 if you count them they are just 3 numbers and since there is a probability of it to land on any of them it will be 3/6 which is 1/2 if yiu divide by 3 to it's lowest term....Then multiple of 3 is 3,and 6.which will be 2/6 which is 1/3 if u cut to its lowest term. Or in the question means addition sign in probability then it is 2 or 3 which is (1/2)+(1/3)=5/6.Thank you for the question

Answer:

A. Jada drank less water than Elena

B. Lin drank more water than Elena

Step-by-step explanation:

Elena drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.

A. Did Jada drink more or less water than Elena?

B. Did Lin drink more or less water than Elena?

Elena drank 3 liters of water

Jada drank 3/4 times as much water as Elena.

Lin drank twice as much water as Jada

Elena = 3 liters

Jada = 3/4 × Elena

=3/4 × 3

=9/4 liters

=2 1/4 liters

=2.25 liters

Lin=2×Jada

=2×9/4

=18/4

=4 2/4

=4.5 liters

Did Jada drink more or less water than Elena?

A. Jada drank less water than Elena

Because 2.25 liters is less than 3 liters

B. Lin drank more water than Elena

4.5 liters is greater than 3 liters

Answer:

Discount = $30, Final price = $90

Step-by-step explanation:

25% is one quarter. 120/4=30

One quarter of 120 is 30, so - 30 would give discounted price of $90.

Similarly you could think of it like the discounted price is 75% of the original one and do 120x0.75=90 to find 75% of 120.

Hope this helped!

Answer:

3 liters is equvilent to 6.34 pints

Step-by-step explanation:

Answer:

Option B - 35.4 VAC

Step-by-step explanation:

Formula for peak voltage is;

V_p = V_rms × √2

Making V_rms the formula, we have;

V_rms = (V_p)/√2

We are given:Peak voltage: V_p = 50 VAC

Where 50 VAC means 50 Volts AC power

Thus;

V_rms = 50/√2

V_rms ≈ 35.4 VAC

So option B is correct

Spending a day observing a professional in his or her work

environment is called a job shadow. Therefore, option D is the correct answer.

Job shadowing is a form of experiential learning in which a person observes a professional on the job in order to gain insight and knowledge about the specific position. Job shadowing allows the observer to gain a better understanding of the job and its responsibilities, as well as the role the job plays in the organization’s overall operations.

Job shadowing, work shadowing involves observing a professional to gain a better understanding of the role.

Therefore, option D is the correct answer.

Learn more about the job shadow here:

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Answer:

In order from smallest to largest:

g(x)=(1,-2)

now, f(x) and h(x) would reach the same height, so from left to right on the graph, if plotting all vertices:

h(x)=(-2,2)

f(x)=(4,2)

Step-by-step explanation:

f(x)

f(x)=-2(x-4)^2+2

This is the vertex form of a quadratic equation:  The formula used is f(x)=a(x-h)^2+k, where (h,k) is the vertex.  In this case, 4 is h and 2 is k, so the vertex of this equation is (4,2).

g(x)

g(x)=5x^2-10x+7

To find the vertex of a quadratic equation in standard form, you first have to find the x-coordinate of the vertex using the formula, -b/2a.  In this equation, a=5 and b=-10, so plug into the formula: -(-10)/2(5)=10/10=1, so the x-coordinate of the vertex is 1.  Now to find the y-coordinate of the vertex by plugging in the x-coodinate for x in the equation: 5(1)^2-10(1)+7=5(1)-10+7=5-10+7=-5+7=-2, so your y-coordinate is -2.  Therefore, your vertex for this equation is (1,-2).

h(x)

So, this quadratic function is in the form of a graph.  The vertex of the graph is the maximum of minimum value of the graph, depending on whether the graph is positive or negative.  In this graph, it is the maximum point, which is (-2,2).

Answer:

21

Step-by-step explanation:

Since AC = AB + BC

------------------

BC = 3x + 6 = 3*5 + 6 = 21

Hello there! :D

Well, it is a general rule of thumb that growth is indicated by positive numbers, and decay is indicated by negative numbers. I would show decay in this exponential equation by making the percentage inside the parenthesis negative. It would look like this: y=4800(-1.239)

Obviously, this equation does not have a negative integer so we know it must constitue growth!

I hope this helped you and that you have a wonderful day,

Kai xx

An integer is a number.

A. Your grandmother gave you. $10, the integer is 10

B. You spent $4 on snacks, the integer is 4

C. Subtract the amount spent from the amount you had:

10-4 =

D. 10-4 = 6, you have $6 left.

D) 0.(85)

85/99 = 0.(85)

Answer:

Step-by-step explanation: 0 because it is not considered a natural number.

Answer:

x=3

Step-by-step explanation:

3 square ft

Answer:

36/16, 36:16, 36 to 16

Step-by-step explanation:

all above are correct

you can write ratios 3 different ways

Jonathan is going to buy 500 straws for $4.05. He gave $10 to the clerk and received C dollars after buying the straws. find out the value of C. Include working out.

Answer:

39 Mr Jones

35 Mrs. Jones

8 Son

Step-by-step explanation:

x       ----> Mr. Jones

x - 4  ----> His wife

x - 31 ---> His son

x + (x - 4) + (x - 31) = 82

3x - 35 = 82

3x = 82 + 35

3x = 117

x = 117/3

x = 39 Mr Jones

x - 4

39 - 4

35 Mrs. Jones

x - 31

39 - 31

8 Son

Answer:

Hey there!

Let x be the money you have.

Then, we can write x≥5, which shows that you have at least 5 dollars.

Hope this helps :)

Answer:

p-5 where p represents your pay

Step-by-step explanation:

The BODMAS rule is indeed an acronym used to recall the order of operations to be utilized while solving mathematical expressions, and the further calculation can be defined as follows:

Given:

[tex]\bold{ 7-24\div 8\times 4+6}[/tex]

To find:

Simplification=?

Solution:

Using BODMOS rule

[tex]\to \bold{ 7-24\div 8\times 4+6}\\\\\to \bold{ 7-\frac{24}{8}\times 4+6}\\\\\to \bold{ 7-3\times 4+6}\\\\\to \bold{ 7-12+6}\\\\\to \bold{ 7-18}\\\\\to \bold{ -11}\\\\[/tex]

Therefore, the final answer is "-11".

Learn more:

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Answer:  translation 8 units to the right

Step-by-step explanation:

An even function is a function such that:

h(x) = h(-x)

and the function is odd if:

h(-x) = -h(x)

Now, let's talk about transformations:

A) Reflection over the x-axis:

When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:

(x, -y).

Then for the case of a function:

y = h(x).

then the reflection will be:

g(x) = - y = -h(x).

And if h(x) is even, -h(x) is also even, so this is not the correct option.

B) Vertical stretch by a factor of 7.

This is written as:

g(x) = 7*h(x).

then:

g(x) = 7*h(x)

g(-x) = 7*h(-x) = 7*h(x) = g(x)

the transformation is even.

C) Translation of 8 units to the right.

We can write this as:

g(x) = h(x - 8).

Then:

g(-x) = h(-x -8) = h(x + 8)

Then g(-x) is not equal to g(x)

and also g(-x) ≠ -g(x)

So in this case the transformation is neither odd or even.

C)  horizontal compression by a factor of One-half.

This transformation is written as:

g(x) = h( (1/2)*x)

And, similar as the case of the vertical compression, in this case the transformation is also even.

Answer: C

Step-by-step explanation:

Translation 8 units to the right

Answer:

3y+x = 3

Step-by-step explanation:

for the point ( 3,0)

x=3 , y= 0

the equation for the line is given as

y-y1= m(x-x1)

for perpendicular ,

m= -1/x

so

y-0 = -1/3(x-3)

3y= -x +3

3y+x=3

Answer: 5x - 3y = 15

Step-by-step explanation: was correct on edge test.

Answer:

Laura wants to buy a coffee mug in a shop. She has x dollars, which isn't enough to pay for the coffee mug. As a solution, she asks her friend to help pay for the coffee mug. Her friend contributes 11 dollars in addition to Laura's x dollars, and luckily, her 11 dollars either add up to 23 or exceed it.

Answer:

Real:

Imaginary:

Complex:

Step-by-step explanation:

A real number is a number that exists in real life.

An imaginary number is a number that doesn't exist, hence it has the letter i in it.

A complex number consists of a real number and an imaginary number.

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Answer:

Subtraction property of equality

Step-by-step explanation:

[tex]x+1=-2\\[/tex]

Move 1 to the [tex]x = -2-1\\simplify\\\\x = -3[/tex]right and change its sign

Answer:

Last one

Step-by-step explanation:

Gabriella's step is justified by the substraction property of equality.

● x + 1 = -2

Gabriella substracted 1 from both sides

● x + 1 - 1 = -2 - 1

● x = -3

Answer:

- 0.3

Step-by-step explanation: