is 9.02 x 10-8 larger than 9.02 x 10-6

Assuming n is even contradicts that n^2 is odd, thus, for any integer n, if n^2 is odd then n is odd.

To prove by contradiction that for any integer n, if n2 is odd then n is odd, we will assume the contrary, that n is even. Since n is even, it can be expressed as 2k, where k is an integer.

This implies that n2 can be written as (2k)2, which is equal to 4k2. Since 4k2 is an even number, it follows that n2 is even, which contradicts our original assumption that n2 is odd.

Therefore, our assumption was false and for any integer n, if n2 is odd then n is odd.

To know more about even numbers refer here:

https://brainly.com/question/2289438#

#SPJ11

Answer:

A

Step-by-step explanation:

Hope this helps

Answer:

a,c

Step-by-step explanation:

convert them all into a denominator of 20

3/4 = 15/20

3/10 = 6/20

4/5 = 16/20

1/2 = 10/20

Answer:

Each tank holds 4.33 gallons of water.

Answer:

(0,1)

Step-by-step explanation:

Answer:

I think (-2,3) is

the answer

Answer:

The answer is 1/3

Step-by-step explanation:

Since there are 3 planes that arrive in a random order, there is a 1 in 3 chance that the plane from Chicago will arrive first. Hope this helps!

Answer:

the next number is 729

Step-by-step explanation:

Each number is multiplied by 3 to get the next number,

\(3*3=9\\9*3=27\\27*3=81\\81*3=243\\\)

so if we follow this pattern, the next number should be.....

\(243 *3= 729\)

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Data collected over several time periods are called time series data.

Time series data refers to data that is collected over several time periods. It captures a sequence of observations of a variable of interest over time, such as sales figures, stock prices, temperature, and so on. The observations are usually taken at regular intervals, such as daily, weekly, monthly or yearly, and the data reflects the changes in the variable over time.

Time series data is useful for identifying trends, patterns, and seasonality in the data, and for making predictions about future values. It's often used in economic forecasting, weather forecasting, and other fields where understanding how a variable changes over time is important.

Learn more about data collection here: https://brainly.com/question/26711803

#SPJ4

Answer:

  9a. 0.8

  9b. f(t) = 400(0.8^t)

  10.  B, C, E

Step-by-step explanation:

The growth factor (or factor of decrease) for a time period will be found by taking the ratio of the value at the end of the time period to the beginning value.

The population is 320 after 1 year. It started at 400 at the beginning of the year, so the factor of decrease is 320/400 = 0.80.

The exponential function can be written as ...

  f(t) = a·b^t . . . . . where 'a' is the initial population, and 'b' is the factor of decrease

The initial population is shown on the graph as 400; the factor of decrease is what we just computed.

  f(t) = 400(0.80^t)

__

An exponential function is one that has the independent variable as an exponent. That form is seen in selections B, C, E.

Answer:

$48

Step-by-step explanation:

Answer:

In BOLD.

Step-by-step explanation:

f(x) = (x - 1)(x + 7)

Convert to vertex form.

= x^2 + 6x - 7

= (x + 3)^2 - 9 - 7

= (x = 3)^2 - 16

So the vertex is at (-3, -16)

Also, as the vertex is a minimum the graph is increasing on interval x > -3.

From the graph we see:

The graph is positive on the interval

where x < -7  and x > 1.

- and negative where

-7 < x < 1.

Answer:

B C D

Step-by-step explanation:

In edg

The number of pennies they lose altogether is 288 pennies.

How to find the number of pennies they lost together?

Together, Katya and Mimi have 480 pennies in their piggy banks.

Therefore, there total amount of pennies is 480.

After Katya loses 1/2 of her pennies and Mimi loses 2/3 of her pennies, they have an equal number of pennies left.

Therefore,

let

x = number of pennies Katya have

y = number of pennies Mimi have

Hence,

x + y = 480

x = 480

Katya pennies left = x - 1 / 2x = 1 / 2x

Mimi pennies left = y - 2 / 3 y = 1 / 3 y

1 / 2 x  = 1 / 3 y

2y = 3x

y = 3  / 2 x

Substitute the value in equation(i)

x + 3 / 2 x  = 480

2.5x = 480

x = 480 / 2.5

x = 192

Therefore,

192 + y = 480

y = 480 - 192

y = 288

The number of pennies they lose can be calculated as follows;

Katya losses = 1 / 2 × 192 = 96

Mimi losses = 2 / 3 × 288  = 192

Therefore, they lost 96 + 192 = 288 pennies altogether.

learn more about pennies here:

brainly.com/question/11485510

#SPJ4

Answer:

I hope this helps you with your question

If admission fee per person for the state fair is $14, and 812 people visited the fair during the 11 hours it was open, then a total amount of $11368 was collected on this day.

As per the question statement, admission fee per person for the state fair is $14, and 812 people visited the fair during the 11 hours it was open.

We are required to calculate total amount of money was collected on this day.

To solve this question, we simply have to multiply the admission fee per person, with the number of visitors in that particular day, to obtain our desired answer.

Hence, [$(14 * 812) = $11368] was collected during the 11 hours the fair was open on this day.

To learn more about Admission fees and Total Amounts, click on the link below.

https://brainly.com/question/11724892

#SPJ4

Answer:

can I get a hiaaa

How was the government able to make children go to residential school?

The simplified fraction is 7/24.

7/24 of the people surveyed were born in France.

To find the fraction of people born in France, we need to calculate the ratio of the number of people born in France to the total number of people surveyed.

The total number of people surveyed is the sum of the values in the pie chart: 57 (UK) + 66 (Germany) + 105 (France) + 75 (Ireland) + 57 (Other) = 360.

The number of people born in France is given as 105.

Therefore, the fraction of people born in France is 105/360.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 15:

105/15 = 7/1

360/15 = 24/1

So, the simplified fraction is 7/24.

Therefore, approximately 7/24 of the people surveyed were born in France.

For such more questions on simplified fraction

https://brainly.com/question/28906652

#SPJ11

Answer:

b(-10) = 6

Step-by-step explanation:

B(x)= |x+4|

Let x = -10

B(-10)= |-10+4|

            |-6|

Take the positive value

               6

Answer:

6

Step-by-step explanation:

|-10+4|

|-6|

Remove brackets

6

Answer: V = (12in - 2*x)*(8 in - 2*x)*x

Step-by-step explanation:

So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.

Remember that for a box of length L, width W and height H, the volume is:

V = L*W*H

In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:

L = 12 in - 2*x

For the width we have a similar case:

W = 8in - 2*x

And te height of the box will be equal to x, then:

H = x

This means that the volume is:

V = (12in - 2*x)*(8 in - 2*x)*x

Here we can see the connection between the cutout and the volume of the box

Answer:

The answer is 2/13

Step-by-step explanation:

8=4×2

15=2+13

(btw, I have no idea what I'm saying so it might be incorrect...)

D option is correct by SSS congruence rule

Answer:

We could think of the Earth as a sphere, where the diameter of this sphere will the mean diameter between the measure from the North pole to the Soth pole and the measure from opposite points of the equator.

Remember that the mean between two numbers A and B is:

Mean = (A + B)/2

In this case, the mean diameter will be:

D = (7,899.83mi + 7,926.41mi)/2 = 7,913.115 mi

And we know that the surface of a sphere of diameter D is:

S = 4*pi*(D/2)^2

Where pi = 3.14

Then the surface of the Earth will be something like:

S = 4*3.14*(7,913.115mi/2)^2 = 196,618,601.47 mi^2

b) We know that 75% of the Earth's surface is water, now we will use the diameter 7,926.41 mi to compute the surface.

First, the total surface of the Earth will be:

S = 4*3.14*(7,926.41mi/2)^2 = 197,279,843.03 mi^2

And 75% of this is water, then the total water surface is 0.75 times that area, this is:

water surface = 0.75*197,279,843.03 mi^2 = 147,959,882.27 mi^2

The dimensions are 156m and 65 m

The perimeter of the field is 442 m.

The perimeter of the rectangle is the product of length to its breadth.

i.e., Perimeter= 2( l + b)

As, the diagonal of every rectangle makes right angled triangle with respect of length and width.

Diagonal² = length² + width²

Let the common ration be x

then, length = 12x and breadth = 5x

Diagonal² = length² + width²

                = (12x)²+ (5x)²

                 = 144 x² + 25 x²

                 = 169 x²

169² = 169 x²

x²= 169

x= 13

Hence, length = 12x = 12 * 13 = 156 m

width = 5x = 5*13 = 65 m

(ii) Perimeter,

= 2 ( l+ b)

= 2 ( 156 + 65 )

=2( 221)

= 442 m

Learn more about perimeter of rectangle here:

https://brainly.com/question/15287805

#SPJ1

Answer:

1/5 =  0.2

0.3 = 1/3

1/2 = 0.5

Answer:

1/5 =0.2

3/10 = 0.3

1/2 =0.5

Answer:

after simplifying, we get,

23/6

Step-by-step explanation:

(2/3+5/2-7/3)+(3/2+7/3-5/6)

We simplify,

\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)

Answer:

17 yards and 31 yards.

Step-by-step explanation:

Since length is 14 more than width, lets call width: w and length: w+14

So perimeter is 96 so: 2w+2(w+14)=96

2w+2w+28=96 so 4w+28=96

4w=68 and finally w=17

So 17 yards and 31 yards.

Answer:

D) 408

E) 684

F) 377

Step-by-step explanation:

In these problems, we can simplify the multiplication using these steps:

1. split each number into a tens and ones place

2. multiply each place of the bottom number by both places of the top number (but remember that a digit in the tens place has a zero after it)

3. add the resulting values

D) First, we can split each number into a tens and ones place:

17 = 10 and 7

24 = 20 and 4

Next, we can multiply each digit of the bottom number by both digits of the top number:

(4 × 7)

(4 × 10)

(20 × 7)

(20 × 10)

Finally, we can add all of these values:

(4 × 7) + (4 × 10) + (20 × 7) + (20 × 10)

= 28   +     40    +     140    +     200

= 408

E)

36 = 30 and 6

19 = 10 and 9

Multiplying the places:

(9 × 6)

(9 × 30)

(10 × 6)

(10 × 30)

Adding these values:

(9 × 6) + (9 × 30) + (10 × 6) + (10 × 30)

= 54    +    270    +    60     +    300

= 684

F)

29 = 20 and 9

13 = 10 and 3

Multiplying the places:

(3 × 9)

(3 × 20)

(10 × 9)

(10 × 20)

Adding these values:

(3 × 9) + (3 × 20) + (10 × 9) + (10 × 20)

= 27    +    60      +     90    +    200

= 377

Margie made an error while working for adding and subtracting linear expressions. In Step: 1 Margie made an error with the negative (-) and positive (+) signs.

What is a linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

What are the Operations in linear expression?
The basic algebraic operations in linear expressions are addition, subtraction, multiplication, division.

Steps to calculate addition and subtraction of linear expressions:

Given: (-2.67b+11) - (3.71b-15)

Part A: In the first step Margie made an error by not multiplying the signs correctly. Correct way is    

                                          Step 1:  - 2.67b + 11 - 3.71b +15

Part B:  Correctly writing the expressions

                            Step 2:    -2.67b – 3.71b + 11 + 15

                            Step 3:    (-2.67b – 3.71b) + (11 + 15)

                            Step 4:    -6.38b + 26

Therefore, the value of the linear expression (-2.67b + 11) - (3.71b - 15) is   -6.38b + 26.

To learn more about linear expressions from the given link
https://brainly.com/question/25682757|
#SPJ1

Answer: Approximately 0.0003047

As a fraction, it is equal to exactly 792/(2,598,960)

===========================================================

Explanation:

The king of spades must be in the hand, and we can pick any other king. There are 3 ways to pick the other king. Then there are 4 C 2 = 6 ways to pick the two queens. The 4C2 refers to the nCr notation. Or you could use Pascal's Triangle.

Overall, there are 3*6 = 18 ways to pick the king of spades, another king, and exactly 2 queens.

Then we have one more card to pick that isn't a king nor a queen. There are 4+4 = 8 cards that are either a king or queen, leaving 52-8 = 44 cards that are neither.

So there are 18*44 = 792 ways to pick a king of spades, another king, exactly 2 queens, and some other card that isn't a king nor queen.

This is out of 52C5 = 2,598,960 possible five card hands.

The probability we're after is roughly 792/(2,598,960) = 0.0003047

Side note: order does not matter with card hands.

A cyclist rode at an average speed of 15 mph for 30 miles.

It will take 2 hours to cover 30 miles so option (C) is correct.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

A cyclist rode at an average speed of 15 mph for 30 miles.

So,

15 miles ⇒ hour

Multiply by 2

2 hours ⇒ 30 miles.

Hence "It will take 2 hours to cover 30 miles".

To learn more about average speed click here https://brainly.com/question/6504879

#SPJ4

Answer:

x > - 16

Step-by-step explanation:

41- 3/4 x < 53

Subtract 41 from each side

41-41- 3/4 x < 53-41

-3/4x < 12

Multiply each side by -4/3, remembering to flip the inequality

-4/3 * -3/4x > 12 * -4/3

x > - 16

The answers are as follows:

(a) Fy(y) = 2/3 for all y < 0 and y ≥ 0.

(b) fy(y) = 0 for all values of y.

(c) E[Y] = 0.

(a) To find Fy(y), we need to determine the cumulative distribution function (CDF) of the random variable Y. Since Y is a function of X, we can use the CDF of X to find the CDF of Y.

The CDF of X is given by:

Fx(x) =

0 for x < -1

(x/3 + 1/3) for -1 ≤ x < 0

(x/3 + 2/3) for 0 ≤ x < 1

1 for x ≥ 1

Now, let's find Fy(y) by considering the different intervals for y.

Case 1: For y < 0, we have:

Fy(y) = P(Y ≤ y) = P(g(X) ≤ y) = P(X < 0)

Since g(X) = 0 for x < 0, we can rewrite it as:

Fy(y) = P(X < 0) = Fx(0)

Substituting the value x = 0 into Fx(x), we get:

Fy(y) = Fx(0) = 0/3 + 2/3 = 2/3

Case 2: For y ≥ 0, we have:

Fy(y) = P(Y ≤ y) = P(g(X) ≤ y) = P(X ≤ 0)

Since g(X) = 0 for x < 0, we can rewrite it as:

Fy(y) = P(X ≤ 0) = Fx(0)

Substituting the value x = 0 into Fx(x), we get:

Fy(y) = Fx(0) = 0/3 + 2/3 = 2/3

Therefore, Fy(y) = 2/3 for all y < 0 and y ≥ 0.

(b) To find fy(y), we differentiate Fy(y) with respect to y to obtain the probability density function (PDF) of Y.

fy(y) = d/dy Fy(y)

Since Fy(y) is constant (2/3) for all values of y, the derivative of a constant is 0.

Therefore, fy(y) = 0 for all values of y.

(c) To find E[Y], we need to calculate the expected value of Y, which is given by:

E[Y] = ∫ y * fy(y) dy

Since fy(y) = 0 for all values of y, the integrand is always 0, and therefore the expected value E[Y] is also 0.

To learn more about CDF, click here: brainly.com/question/17074573

#SPJ11