Expand each of the following and collect like terms when
possible.
2r(r+t)-5t(r+t)

Answer:

Either A or B.

Step-by-step explanation:

Each number in the sequence is being added by 6.

So you can use the equation: x+6

The ninth term in the sequence would be 36 because 30+6=36

Hello!

Time taken to travel 1 mile =12 minutes

Amal can run 1/8 mile in 1 1/2 minutes

distance ran by amal= 1/8 miles.

Time taken= 1/12 = 1x2+1/2 = 3/2 minutes.

We need to find how many minutes did he take to run one mile,

he travels 1/8 of a mile in 3/2 minutes.

Time taken to travel 1 mile is given by

T=3/2 x 8/1 = 12 minutes.

Time taken to travel 1 mile = 12 minutes

The values of the required terms are as follows:

H|= 16

[h] = 16

[P] = 9[

R] = 14

|H U P| = 17

[H U P] = 17

[R] = 35

[r] = 35

Given that the set H = {x | x is a hexadecimal digit)Let the set P - 12, 3, 5, 7, 17, 19, 23, 29, 31).

Let R be a relation from the set to the set P where

R = {(a, b) | a, b ∈P and 4 ≤a < 9, b > 10}.

Then, |H|= 16 [h]

= 16[P]

= 9[R]

= 14.

Using these values, we need to calculate |H U P| and [R].

Union of H and P can be found as follows: H ∪P = {x : x is a hexadecimal digit or x is a prime number}

We know that P contains all prime numbers less than 32, therefore, P U {x : x is a prime number and x > 31}

= {x : x is a prime number} = P.

Hence,|H U P| = |H| + |P| - |H ∩ P|

Now, we need to calculate the value of |H ∩ P|, which is the number of primes that are also hexadecimal digits.

The hexadecimal digits are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F}.

The primes in P are {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31}.

The primes that are also hexadecimal digits are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. Hence, |H ∩ P| = 10.

Therefore,|H U P| = |H| + |P| - |H ∩ P| = 16 + 11 - 10 = 17.

Thus, [H U P] = 17

Given the value of R as mentioned above, we need to calculate [R].

Since a ∈ {12, 13, 14, 15, 16, 17, 18} and b ∈ {17, 19, 23, 29, 31},

the number of ordered pairs that satisfy the condition of R is 7 × 5 = 35. Hence, [R] = 35.

Hence, the values of the required terms are as follows

:|H|= 16

[h] = 16

[P] = 9[

R] = 14

|H U P| = 17

[H U P] = 17

[R] = 35

[r] = 35

To learn more about digits visit;

https://brainly.com/question/30142622

#SPJ11

Answer:

xy = 32

x = 1/2y.

Step-by-step explanation:

Let's say the two numbers are x and y.

The product of them is 32, so x times y is 32.

xy = 32.

x is 1/2 of y. So...

x = 1/2y

Your two systems are xy = 32 and x = 1/2y.

Hope this helps!

Answer:

The answer is A on edg 2021

Answer:

3 miles

Step-by-step explanation:

A trapezoid has an area of 18 square miles. The bases are 5 miles and 7 miles. Using these measurements, the height of this trapezoid is how many miles

Area of a trapezoid = 1/2 (a + b)h

The formula for the height of a trapezoid =

h = 2(A/a + b)

A = 18 square miles

a = 5 miles

b = 7 miles

h = 2(18/5 + 7)

h = 2( 18/12)

h = 2 ( 9/6)

h = 3 miles

Quantity transacted between the distributor and manufacturer in one district: 200

Quantity transacted between the consumer and distributor in one district: 800

Wholesale price: $200/3

Retail price: $100

What is Monopolistic ?

A monopolistic market is a theoretical condition that describes a market where only one company may offer products and services to the public.

To determine the quantity transacted between the distributor and manufacturer in one district, the quantity transacted between the consumer and distributor in one district, as well as the wholesale price and retail price, we can analyze the monopolistic market structure and use the given information.

Quantity transacted between the distributor and manufacturer in one district:

In a monopolistic market, the manufacturer sets the quantity supplied based on the demand curve and the marginal cost. To find the quantity transacted, we equate the marginal cost to the marginal revenue, which is the derivative of the total revenue function.

Given:

Demand curve: Q = 1000 - 2P

Marginal cost: MC = $100

To find the quantity transacted, we set MC equal to the marginal revenue (MR):

MC = MR

Since the distributor is the only buyer from the manufacturer, the wholesale price is the same as the price received by the manufacturer. Therefore, MR is equal to the derivative of the manufacturer's revenue function, which is the inverse of the demand curve.

MR = d(TR)/dQ = P(1 - 1/slope of demand curve)

The slope of the demand curve is -2, so the marginal revenue becomes:

MR = P(1 + 1/2) = P(3/2)

Setting MC equal to MR:

$100 = P(3/2)

Solving for P, we find:

P = $200/3

Substituting this value of P into the demand curve, we can find the corresponding quantity:

Q = 1000 - 2P

Q = 1000 - 2($200/3)

Q = 1000 - ($400/3)

Q = 600/3

Q = 200

Therefore, the quantity transacted between the distributor and manufacturer in one district is 200.

Quantity transacted between the consumer and distributor in one district:

Since the distributor is the monopolist in retail for the district, they determine the quantity sold based on the demand curve and their marginal cost.

The distributor's marginal cost is the sum of the production cost and the distribution cost:

MC_distributor = $100 + $50 = $150

To find the quantity transacted between the consumer and distributor, we equate the marginal cost to the marginal revenue for the distributor.

MR_distributor = P(1 - 1/slope of demand curve)

MR_distributor = P(1 + 1/2)

MR_distributor = P(3/2)

Setting MC_distributor equal to MR_distributor:

$150 = P(3/2)

Solving for P, we find:

P = $100

Substituting this value of P into the demand curve, we can find the corresponding quantity:

Q = 1000 - 2P

Q = 1000 - 2($100)

Q = 1000 - $200

Q = 800

Therefore, the quantity transacted between the consumer and distributor in one district is 800.

Wholesale price:

The wholesale price is the price received by the manufacturer in the transaction with the distributor in one district. From the calculations above, we found that the wholesale price is $200/3.

Retail price:

The retail price is the price charged by the distributor to the consumers in one district. From the calculations above, we found that the retail price is $100.

To summarize:

Quantity transacted between the distributor and manufacturer in one district: 200

Quantity transacted between the consumer and distributor in one district: 800

Wholesale price: $200/3

Retail price: $100

To learn more about Monopolistic from the given link

https://brainly.com/question/2891218

#SPJ4

Answer:

6 trips just to work but its 3 for round trip

Answer:

\(x=-2,1,3\)

Step-by-step explanation:

Given: The curved line represented by the function \(f(x)\) crosses the x-axis at \((-2,0),(1,0),(3,0)\) and y-axis at \((0,-6)\)

To find: value of x for which \(f(x)=0\)

Solution:

\(f(x)=0\) gives those values of x for which the curve represented by the given function cuts the x-axis.

According to question, the curve cuts the x-axis at \(x=-2,1,3\)

The values of x, when f(x) = 0 are the y-intercepts of the graph, and the values are -2, 1 and 3

The points on the function on the graph are given as:

\((x,y) = \{(-2,0), (1,0), (3,0), (0,-6)\}\)

In the above ordered pairs, the points where y or f(x) equals 0 are:

\((x,y) = \{(-2,0), (1,0), (3,0)\}\)

Remove the y-values

\(x = \{-2, 1, 3\}\)

The above set represents the values of x, when f(x) = 0.

Hence, the values of x, when f(x) = 0 are -2, 1 and 3

Read more about y-intercepts at:

https://brainly.com/question/25683754

No, there is only one outlier at 58 minutes.

An observation that differs abnormally from other values in a population-based random sample is referred to as an outlier. In a way, this definition defers to the analyst's (or a consensus process') judgment as to what constitutes aberrant behavior. It is vital to define typical observations before distinguishing aberrant ones.

A data point is considered an outlier if it is more than 1.5 times the IQR below the first quartile or more than 1.5 times the IQR above the third quartile, according to the general criterion for utilizing it to compute outliers. The first and third quartile percentiles must be known in order to compute the IQR.

The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list.

9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58

One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5×IQR rule for outliers, is there evidence to support the student's claim?

To learn more about outliers from given link

https://brainly.com/question/3631910

#SPJ4

The number of favorable outcomes for events A and B would be: (1,2,3,4)

The sample space that is used to determine the probability of A given B is  (2, 4.6)

The probability for event A and B occurring would be: 1/6

The probability of event A given event B will be 2/3

The sample space refers to the collection of all the outcomes that can be expected from a set of randome experiments. Probability refers to the number of favorable outcomes divided by the number of tottal outcocmes.

From the data given, the probability of getting an even number and a number less than 5 will be 5/6 amd this is in the same ratio as 2/3. The probability of event A and B occurring will be 1/6.

Learn more about probability here:

https://brainly.com/question/24756209

#SPJ1

Answer:

45:36 is the answer.

Step-by-step explanation:

Divide 81 by sum of ratio.

81/(5+4)=81/9=9

So,

5×9 : 4×9

45 : 36

Check: 45+36=91

Answer:

~13 years

Step-by-step explanation:

18500 = 6500(1 + [0.082/2])^(2t)

2.84 = (1.041)^2t

t ≈ 12.988 ≈ 13

Answer:

sup

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

2.2/3 × 2.3/4

6/3×11/4

24×33_ ÷ 12 = 66 I hope u understand

Answer:

Step-by-step explanation:

6,000 = 6 × 1000 = 6 × 10³

Answer:

416.7pounds

Step-by-step explanation:

Given parameters:

         Weight of the small box  = 125pounds

Unknown:

Weight of the larger box = ?

Solution:

The large box weighs \(3\frac{1}{3}\) times as the small box:

               So;

                =   125pounds x \(\frac{10}{3}\)

                = 416.7pounds

Answer:

The value of N = 5 Step-by-step

Write a Python program that accepts an integer (n) and computes the value of n+nn+nnn.

Sample value of n is 5

Python int(x, base=10):

The function returns an integer object constructed from a number or string x, or return 0 if no arguments are given. If x is a number, return x.__int__(). For floating point numbers, this truncates towards zero.

The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

The correct answer is:

B. The graph of h is the graph of g vertically shifted up 1 unit.

Explanation:

The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).

When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.

In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).

Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).

The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.

The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.

The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.

Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

for more such question on graph visit

https://brainly.com/question/19040584

#SPJ8

Step-by-step explanation:

Here is your answer

Answer:

2^12

Step-by-step explanation:

Since 2^4 is already powered you will only power the 4 and not the 2

For example (a^2)^3 = a^6

and not a*a*a^6

You only power the 2 and not the "a"

Hope this helps!

Cases (iii) and (iv) are left as exercises, meaning the proof for those cases is not provided in the given information. To fully establish the Characterization Theorem, the proof for these remaining cases needs to be completed.

Theorem 2.5.1 (Characterization Theorem):

If S is a subset of R that contains at least two points and has the property that if x, y ES and x < y, then (x, y)C S, then S is an interval.Proof.

There are four cases to consider:

(i) S is bounded,

(ii) S is bounded above but not below,

(iii) S is bounded below but not above, and

(iv) S is neither bounded above nor below.

Case (i): Let a = inf S and b = sup S.

Then SC[a, b] and we will show that (a, b)C S. If a < z < b, then there exist x, y

ES such that x < z < y. Since x < y and S has property (1), we have (x, y)C S.

Since zEP(x, y), it follows that zES.

Thus (a, b)C S.

Now if a S and b S, then S =[a, b].

If a S and b S, then S=(a, b).

The other possibilities lead to either S = (a, b) or S = [a, b].

Case (ii): Let b = sup S.

Then SC (-[infinity]o, b] and we will show that (-oo, b)C S. For, if z < b, then there exists y

ES such that z < y < b.

Since b is the least upper bound of S and yES, it follows that y 6S. But then (z, y)C (-oo, b) and (z, y)C S.

Thus (-oo, b)C S. Now if S contains its smallest element a, then S = [a, b]. Otherwise, S=(a, b).

Cases (iii) and (iv) are left as exercises.

For more questions on Characterization Theorem:

https://brainly.com/question/32506550

#SPJ8

Answer:

6 hours.

Step-by-step explanation:

deal: 135-(60+12.5h)=y

let h= # of hrs

135-60=75.

75/12.5=6 hours.

Answer:-12x

Step-by-step explanation:

just trust me on this

The correct graph which represents the equation y = 1/2x - 1 is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 1/2x - 1

Now, After draw the equation we get;

Graph of a line passing through the points (-2, - 2) and (0, - 1).

Thus, The correct statement is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

A graph of the inequality is shown in the image attached below.

In this scenario, we would solve the given inequality by making m the subject of formula as follows;

-2 > m/6 - 7

By collecting like terms, we have the following:

-2 + 7 > m/6

5 > m/6

Cross-multiplying, we have:

30 > m

By re-writing the inequality, we have:

m < 30

Next, we would use an online graphing calculator to plot the inequality as shown in the graph attached below. Also, the circle is open because of the greater than (>) symbol.

Read more on inequality here: brainly.com/question/27976143

#SPJ1

From Pythagorean Theorem, the formula is given as:

Answer:

5

Step-by-step explanation:

To encode a message using matrix multiplication, an invertible matrix is chosen, and the original row matrices are multiplied by this chosen matrix on the right to obtain encoded row matrices.

Matrix multiplication is a common technique used in encoding and decoding messages. In this scenario, to encode a message, we select an invertible matrix, denoted as matrix A. The invertible property ensures that matrix A has an inverse, allowing us to undo the encoding process later.

To encode the message, we take the original row matrices, which represent the message or data, and multiply them by matrix A on the right. The resulting matrices obtained after multiplication are the encoded row matrices.

The process of multiplying the original row matrices by matrix A on the right is often referred to as matrix transformation or encoding. Each element in the original row matrices interacts with the corresponding elements in matrix A, resulting in a modified value in the encoded row matrices.

By performing the inverse operation, which involves multiplying the encoded row matrices by the inverse of matrix A, the original message can be decoded and recovered.

In conclusion, to encode a message using matrix multiplication, an invertible matrix is selected, and the original row matrices are multiplied by this chosen matrix on the right to obtain the encoded row matrices.

Learn more about Matrix here:

https://brainly.com/question/28180105

#SPJ11