what do I get if I divide 1 by 5/13 as an improper fraction​

Answer:

\((2, \frac{7}{2} )\)

Step-by-step explanation:

The midpoint between two points is:

\((\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\) when the given points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the points (1,6) and (3,1)

\(= (\frac{1+3}{2} , \frac{6+1}{2} )\\= (\frac{4}{2} , \frac{7}{2} )\\= (2, \frac{7}{2} )\)

Therefore, the midpoint between (1,6) and (3,1) is \((2, \frac{7}{2} )\).

I hope this helps!

True, if a ∈ Z and a ≡ 1 (mod 5), then a^2 ≡ 1 (mod 5). a^2 - 2a + 1 = 25k^2 = 0, which implies that a^2 - 2a + 1 is divisible by 5, i.e., a^2 ≡ 1 (mod 5). Hence, the statement is true.

We can prove this by using the definition of modular congruence. Since a ≡ 1 (mod 5), we know that a - 1 is divisible by 5, i.e., a - 1 = 5k for some integer k. Squaring both sides of this equation, we get:

a^2 - 2a + 1 = 25k^2

Adding 4a - 4a to the left-hand side, we get:

a^2 - 2a + 1 + 4a - 4a = 25k^2

Rearranging, we get:

(a^2 - 2a + 1) - 4a = 25k^2 - 4a

Factorizing the left-hand side, we get:

(a - 1)^2 - 4a = 25k^2 - 4a

Since a ≡ 1 (mod 5), we can substitute 1 for a in the above equation to get:

(1 - 1)^2 - 4(1) = 25k^2 - 4(1)

Simplifying, we get:

-4 = 25k^2 - 4

Adding 4 to both sides, we get:

0 = 25k^2

This implies that k = 0, since k is an integer. Therefore, a^2 - 2a + 1 = 25k^2 = 0, which implies that a^2 - 2a + 1 is divisible by 5, i.e., a^2 ≡ 1 (mod 5). Hence, the statement is true.

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The probability of not getting a five as the sum of the two dice is 1/9.

Roll of Dice:

To roll means to take risks. Take risks in hopes of a lucky outcome or victory. As a noun, dice roll is the case for "rolling dice".

According to the Question:

To find the probability, divide the number of successful outcomes by the total number of possible outcomes.

Each dice has 6 combinations that are independent of each other. So the number of possible outcomes is 6*6 = 36.

The probability of rolling two dice and getting a total of 5 is 4/36 = 1/9.

The probability of getting a sum of 5 is

Therefore, the combinations are:

(4 , 1),(1 , 4),(2, 3) and (3 , 2)

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The value of z is found by dividing y by x, which results in  z =\(-\frac{16}{63}$\)

To solve for z, we can use the equation \($x\cdot z = y$\). We know that \($x = \frac{7}{8}$\) and \($y = -\frac{2}{9}$\),

Therefore, we can enter these values into the equation as substitutes:

\($\frac{7}{8} \cdot z = -\frac{2}{9}$\)

Next, In order to separate z, we must divide both sides of the equation by \($\frac{7}{8}$\):

\($z = \frac{-\frac{2}{9}}{\frac{7}{8}}$\)

To divide by\($\frac{7}{8}$\), The fraction can be rotated, then multiplied by its reciprocal, which is \($\frac{8}{7}$\)

\($z = \frac{-\frac{2}{9}}{\frac{7}{8}} \cdot \frac{8}{7}$\)

The fraction on the right can be made simpler as follows:

\($z = -\frac{2}{9} \cdot \frac{8}{7} = -\frac{16}{63}$\)

So, The value of z is found by dividing y by x, which results in  z =\(-\frac{16}{63}$\)

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Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

Answer:

27

Step-by-step explanation:

\( \frac{x - 3}{18} = \frac{12}{9} \)

\(18 \times \frac{x - 3}{18} = 18 \times \frac{12}{9} \)

\(x−3=9(2)⋅ \frac{12}{9} \)

\(x−3=2⋅12\)

\(x−3=24\)

\( x = 27\)

To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.

To find g(-2), substitute -2 for x in the equation

g(x) = -4x² - 5x + 9 to get

g(-2) = -6 + 9g(-2)

We are given three functions as follows:

f(x) = (1/3)x - 5, g(x)

= -4x² - 5x + 9, and

h(x) = 1/(x - 8) + 3.

We are asked to find g(-2), which is the value of g(x) when x = -2.

Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get

g(-2) = -4(-2)² - 5(-2) + 9.

This simplifies to g(-2) = -16 + 10 + 9 = -6.

Hence, g(-2) = -6.

The value of g(-2) is -6.

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The difference in housing prices in the fifth year is $7,125.

Price is the amount of money one has to pay for goods or services. It is also the return on an investment or the cost of borrowing money. Price is determined by the supply and demand of a product or service. It is also influenced by market forces such as competition, production costs, and availability of resources. Price is a key factor in determining the success of a business, as it can affect consumers' buying decisions and profitability.

$M(5) - G(5) = (1.7(5)³- 6.5(5)²+ 212) - (1.6(5)²- 14(5) + 165) = $7,125
Therefore, the difference in housing prices in the fifth year is $7,125.

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There are 120 different ways that a student can choose major requirement courses from these four areas.

In order to solve this problem, we need to use the concept of combinations. A combination is a selection of items from a set, without regard to the order in which they are chosen. The formula for the number of combinations of n objects taken r at a time is:

C(n,r) = n! / (r! * (n-r)!)

where n! means n factorial, which is the product of all positive integers up to n. For example, 5! = 5 * 4 * 3 * 2 * 1 = 120.

To solve this problem, we need to choose one course from each of the four areas: algebra, analysis, statistics, and geometry. The number of choices in each area are:

4 algebra courses

3 analysis courses

5 statistics courses

2 geometry courses

To find the total number of ways to choose one course from each area, we can use the multiplication rule of counting. This states that if there are n1 ways to do the first task, n2 ways to do the second task, and so on up to nk ways to do the kth task, then there are n1 * n2 * ... * nk ways to do all k tasks together.

In this case, there are 4 ways to choose an algebra course, 3 ways to choose an analysis course, 5 ways to choose a statistics course, and 2 ways to choose a geometry course. Therefore, the total number of ways to choose one course from each area is:

4 * 3 * 5 * 2 = 120

Thus, there are 120 different ways that a student can choose major requirement courses from these four areas.

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Answer:

40 meters = perimeter.

Step-by-step explanation:

Perimeter of square = 4 * side

Therefore, perimeter = 4 * 10 = 40 meters.

The value of y at x = 121.9 for the expression y = 3x - 245 will be 120.7.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that the expression is y = 3x - 245. The value of x is 121.9.

The solution for the value of y will be calculated as:-

y = 3x - 245

y = ( 3 x 121.9 ) - 245

y = 365.7 - 245

y = 120.7

Therefore, the value of y for the given expression will be 120.7.

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The complete question is given below.

Find the value of y for the expression y = 3x - 245 at x = 121.9.

Answer:

x + y = 42

4x + 14y = 568

x = 2, y = 40

Step-by-step explanation:

x + y = 42

4x + 14y = 568

to solve, you can let 'x' = 42-y and substitute this expression for 'x' in the second equation to get:

4(42-y) + 14y = 568

168 - 4y + 14y = 568

168 + 10y = 568

10y = 400

y = 40

therefore, x = 2

check:

4(2) + 14(40) should equal 568

8 + 560 = 568

The (2x,2y) column data is: A'=(-2,-6), B'=(-2,2), C'=(10,2) and D'=(10,-6). See the sketch of the (x,y) column and the (2x, 2y) column in the image 5.

The Cartesian graph presents x-axis (horizontal) and y-axis (vertical) that intercept in the origin (0,0). This type of graph is used to plot x and y coordinates.

The points, in the plane, are represented as (x,y).

Hence for your question:

A=(-1,-3) ⇒ -1 is x-coordinate and -3 is y-coordinate.

B=(-1,1) ⇒ -1 is x-coordinate and 1 is y-coordinate.

C=(5,1) ⇒ 5 is x-coordinate and 1 is y-coordinate.

D=(5,-3) ⇒ 5 is x-coordinate and -3 is y-coordinate.

For solving this question, you should plot the given points on a Cartesian graph.

      The result of this step you can see in the image 1.

         The result of this step you can see in the image 2.

         The result of this step you can see in the image 3. Now you see a rectangle.

       Thus, you should multiply x-coordinate and y-coordinate by 2.

       A=(-1,-3) ⇒ A'=(-2,-6)

       B=(-1,1)   ⇒ B'=(-2,2)

       C=(5,1)   ⇒ C'=(10,2)

       D=(5,-3) ⇒ D'=(10,-6)

       The result of this step you can see in the image 4.

         The result of this step you can see in the image 5. Now you see a new red rectangle with dimensions greater than the black rectangle plotted from (x,y) column.

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Using Rank theorem , the dimensions of col A and Null A add up to the number of colmns in A. It is true statement.

The rank of matrix A denoted as rank(A) is the dimension of the column space Col(A).

The nullity of matrix A written as nullity(A) is the dimension of the null space Nul(A)

Rank Theorem:

If A is a matrix with n columns, then

Rank (A) + nullity (A) = n

In other words we can say that

dim (Col(A) ) in column space + dim (Nul(A)) in empty space = total number of columns in A

The rank theorem is really important theorem.

It is gives a strong relationship between the Null space ( all possible vector x such that Ax = 0) and the column space (the set of vectors b matching Ax=b) explain the two main objectives. The more freedom we have for choosing x, the less freedom we have for choosing b, and vice versa.

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In 13 days they will travel 1904 miles altogether.

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.

Multiplication in action or in progress. The multiplication of 8 and 3 is the same as the sum of 8+8+8, which is a mathematical operation that takes two numbers and returns an answer that is equal to the sum of a column in which one of the numbers is repeated the amount of times of the other number.

Given Data

they travel 238 miles a day for 13 days

1 day = 238 miles

13 days = 238 (13)

13 days = 1904

In 13 days they will travel 1904 miles altogether.

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the numbers are 9 units from −5 on this number line are

This is further explained below.

inequality, A statement in mathematics that establishes an order connection between two numbers or algebraic expressions, such as "greater than," "greater than or equal to," "less than," or "less than or equal to."

Generally, to know which numbers are 9 units from −5 on this number line, we mathematically compute

-5+9= 4

-5-9= -14

In conclusion, the numbers 9 units from −5 on this number line are

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Answer:

A

Step-by-step explanation:

In that example the plane is going up constantly whereas in example B the plane in going down, in example C the plane it going up but the stops and goes at the same speed, and in D the plane it once again going down.

The temperature of the coffee when placed in the room is 114 degrees.

An exponential function is in the form:

y = abˣ

where y,x are variables, a is the initial value of y and b is the multiplier.

Let T represent the temperature of coffee after m minutes. Since:

\(T = 114(0.86)^{m}\)

a) \(T (0)= 114(0.86)^{0}=114\)

B) This means that the temperature of the coffee when placed in the room is 114 degrees.

c) The temperature degrees by 14 degrees each minute (1 - 0.86).

D)

\(100=114(0.86)^m\\\\m = 0.9 minutes\)

The temperature of the coffee when placed in the room is 114 degrees.

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Answer:

Y=1.5x+1

Step-by-step explanation:

The new law and the rest to the right to be a part of this year and I have to say that I am not a fan of the most important things to do in the future and the other is a great way to get the best out of the way and I have to say that

Answer:

No

Step-by-step explanation:

It does not because 5 times the sum of p and 11 is written like this :-

So, it's not the same.

To get 5p + 11, the correct statement should be :-

Mean for start of school year is 6.5; Mean for end of school year is 7.2.

Median for start of school year is 6.5; Median for end of school year is 7.

To find the means, list out each data value given for each dot plot and calculated the mean.

Mean for start of school year:

We have, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9

Mean = ( 4 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 9)/14

= 91/14

Mean ≈ 6.5

Mean for end of school year:

We have, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9

Mean = ( 5 + 5 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9)/14

= 101/14

Mean ≈ 7.2

Median represents the middle data value in a data set, therefore:

Median for start of school year = ( 6 + 7)/2 = 6.5

Median for end of school year = ( 7 + 7)/2 = 7

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The probability that the cook adds the right ingredients and cooks the noodles well is 3/4 or 75%.

I understand that you need help calculating the probability of a cook adding the right ingredients while preparing noodles.

To determine the probability, we need to consider the number of successful attempts and the total number of attempts. In this scenario, the cook adds the right ingredients nine times and makes an error three times.

Therefore, there have been 12 attempts in total (9 successful attempts + 3 erroneous attempts).

The probability of adding the right ingredients is calculated by dividing the number of successful attempts (9) by the total number of attempts (12).

So, the probability is:

P(success) = 9 successful attempts / 12 total attempts

By simplifying this fraction, we get:

P(success) = 3/4

Therefore, the probability that the cook adds the right ingredients and cooks the noodles well is 3/4 or 75%. This means that out of every 12 attempts, the cook is likely to add the right ingredients and cook the noodles well nine times.

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Answer: 16

Step-by-step explanation:

Answer:

how you do this is 6+6-1 ever time for y x is just counting by ones hope i helped

Step-by-step explanation:

The slope intercept equation of the linear function represented by the table  is y = 5x + 1

where

m = slope

b = y-intercept

using (0, 1)(1, 6), Therefore,

m = 6 - 1 / 1 - 0 = 5

Let's find the y-intercept using (0, 1)

1 = 5(0) + b

b = 1

Therefore, the equation is as follows;

y = 5x + 1

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Multiplication operation is the inverse of the one in the given equation which is 9 = p/8.

What is an inverse?

The opposite of another operation is referred to as the "inverse" in mathematics. The operations that cancel out or are the opposite of one another are referred to as inverse operations. The work of a pair is reversed by an inverse operation.

We are given an equation as 9 = p/8.

In this equation,  we can see that the operation used is division.

We know that inverse of division is multiplication.

Hence, multiplication operation is the inverse of the one in the given equation.

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Answer:

O.8 is greater than 7/10

Step-by-step explanation:

0.8 is in the tenths Place So you know that equals 80 ones Out of one hundred. So you have 80/100 if you divide 80 and 100 by ten it reduces to 8/10. You know that 8/10 is greater than 7/10. Hope this helped .

(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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Answer:

number 3.

reason- you can compare urban and rural in 2000 and tell there are more urban people.

Answer:

x=10

you'll substrate 8 from each side then divide by 2