Find the coordinate of point B, given that C is the midpoint of AD and B is
the midpoint of AC.
D(6, 11)
B O
A(-4,-5)

The website which is cheaper for Caroline to buy the spice mix is French website.

Given data ,

Let's calculate the total cost for Caroline from both websites and determine which one is cheaper.

British website:

Price for 100 g = (£0.90 / 25 g) * 100 g = £3.60

Since the British website offers free delivery, the total cost remains £3.60.

French website:

Price for 100 g = (€1.20 / 50 g) * 100 g = €2.40

Delivery cost = €0.80

On simplifying the equation , we get

To convert the price and delivery cost to pounds, we'll use the conversion rate: €1 = £0.85.

Price in pounds = €2.40 * £0.85 = £2.04

Delivery cost in pounds = €0.80 * £0.85 = £0.68

Total cost = Price in pounds + Delivery cost = £2.04 + £0.68 = £2.72

Comparing the total costs:

British website: £3.60

French website: £2.72

Hence , Caroline would pay £2.72 for the spice mix from the cheaper website, which is the French website.

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a)  A' consists of all real numbers less than or equal to 40. Mathematically, A' = {x | x ≤ 40}. b)The union of A and B includes all real numbers that are either greater than 40 or less than 65. Mathematically, AUB = {x | x > 40 or x < 65}.

a) To find the complement of event A, we consider all the outcomes in the sample space that are not in A. Since A consists of all real numbers greater than 40, A' would include all real numbers less than or equal to 40. For example, if we choose a number like 35, it is not in A but belongs to A', as it is less than or equal to 40. Therefore, A' = {x | x ≤ 40}.

b) The union of events A and B, denoted as AUB, includes all outcomes that belong to either A or B, or both. In this case, A consists of all real numbers greater than 40, and B consists of all real numbers less than 65. So, the union of A and B would include all real numbers that are either greater than 40 or less than 65. For instance, numbers like 50, 60, and even 30 would be part of AUB since they meet the conditions of either A or B. Mathematically, AUB = {x | x > 40 or x < 65}.

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Answer:

Step-by-step explanation:

There are 5 trumpeters.

There are 10 less trumpet players than saxophone players, so - S - 10 = T

Also, there are three times as many saxophonists than trumpeters, so S = 3T

Using these formulas,

S - 10 = T, and S = 3T

substituting 3T for S gives: 3T - 10 = T.

Adding 10 to each side gives: 3T = T +10, or 2T = 10

T = 5

Five trumpet players means 15 saxophonists, by the first clause. Also three times five trumpet players equals fifteen saxophonists.

Based on the number of minutes it takes each machine to make yoyos, the number of hours it would take for both machines to make 20 yoyos is 1 ¹/₁₀ hours.

Machine A makes a yoyo every five minutes while Machine B makes a yoyo every 10 minutes. In ten minutes therefore, the number of yoyos made by both machines is:
= (10 minutes / 5) + 1

= 2 + 1

= 3 yoyos

The number of minutes it would take to make 20 yoyos is:

= (20 / 3) x 10 minutes

= 66 minutes

In hours this is:

= 66 / 60 minutes per hour

= 1 ¹/₁₀ hours

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Answer:

Step-by-step explanation:

14 x 8 = 112

To solve the given ordinary differential equation (ODE) with initial conditions, we will use the method of power series expansion.

Let's assume that the solution to the ODE is given by a power series: y = Σ(a_n * x^n), where a_n represents the coefficients to be determined.

Taking the derivatives of y, y', and y'' with respect to x, we have:

y' = Σ(a_n * n * x^(n-1))

y'' = Σ(a_n * n * (n-1) * x^(n-2))

Substituting these series into the ODE, we get:

3000 * 2 * x * y + x * y' - y'' = x

Expanding this equation and grouping the terms by powers of x, we can equate the coefficients of each power of x to zero. This allows us to determine the coefficients a_n.

Using the given initial conditions, y(1) = 1, y'(1) = 3, and y''(1) = 14, we can substitute x = 1 into the power series and solve for the coefficients a_n.

After determining the coefficients, we can substitute them back into the power series expression for y(x) to obtain the specific solution to the ODE that satisfies the initial conditions.

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Answer:

For the first equation, it is "True for one value of x."

For the second equation, it is "True for no value of x."

For the third equation, it is "True for all values of x."

Step-by-step explanation:

Just solve the equation and check the numbers:

If both numbers are the same, it is "true for all values of x"

If there is a variable and a number, it is "true for one value of x"

If there are two numbers and they are different, it is "true for no values of x"

Hope this helps!

Please give brainliest

We need to check whether the given equations are true for all values of \(x\) , one value of \(x\) , or no values of \(x\) .

The equations are ,

solve this equation for x ,

\(\longrightarrow 3x +9=-4.5x+20\\\)

\(\longrightarrow 3x+4.5x =20-9\\\)

\(\longrightarrow 7.5x =11\\\)

\(\longrightarrow \underline{\underline{x =\dfrac{11}{7.5}}}\)

Hence the equation is true for one value of x .

solve out for x ,

\(\longrightarrow 9x +27=9x-12\\ \)

\(\longrightarrow 9x -9x =-27-12\\ \)

\(\longrightarrow 0 = -39\)

This can never to true , so the equation is true for no values of x .

solve out for x ,

\(\longrightarrow 8x+12=12+8x \\\)

\(\longrightarrow 12-12=8x-8x\\\)

\(\longrightarrow 0=0 \)

Hence this equation is true for all values of x .

And we are done!

The answer should be the SAS postulate

Hope I answered in time!

Answer: Wilber would save more, because he borrowed $15,000 more in principal.

Step-by-step explanation:

Answer:

Answer: Wilber would save more, because he borrowed $15,000 more in principle.

Step-by-step explanation:

Answer:

1) -4x^2 + 3x

Step-by-step explanation:

you subtract the numbers that have the same exponent and variable!

(2x^2 + 6x + 5) - (6x^2 + 3x +5)

2x^2 - 6x^2 = -4x^2

6x - 3x = 3x

5 - 5 = 0

Math SAT scores explain about 98.7% of the variation in the total SAT scores.

In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.

A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.

Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.

In context, math SAT score explains about 98.7% of the variation in total SAT score.

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Answer:

c = 2

Step-by-step explanation:

To solve this equation, you need to combine like terms and then divide by the coefficient of the variable on both sides of the equation.

To start, add 12c and 6c because they are like terms.

12c + 6c = 18c

Then, divide by 18 on both sides of the equation to solve for c.

18c = 36

----     ----

18      18

c = 2

Answer: -7

Step-by-step explanation:

First, simplify the equation and make y isolated.

4x + y = -7

y = -7 - 4x

Plug in 0 for x.

y = -7 - 4(0)

y = -7

Answer:

0

Step-by-step explanation:

a year is 365 days :)

Answer:

45 days = 1 month and  about 2 weeks not years

Step-by-step explanation:

The true statements from the options provided are:

A. The product Ax is defined as a linear combination of columns of A with the corresponding entries of x as weights.

D. The product Ax is a vector in \(R^n\).

E. Ax is a vector whose ith entry is the sum of the products of the corresponding entries from row i of A and the vector x.

A linear combination in mathematics is an expression created from a group of terms by multiplying each component by a constant and combining the results (for example, an expression of the form axe + by, where a and b are constants, would be a linear combination of x and y).

The true statements from the options provided are:

A. The product Ax is defined as a linear combination of columns of A with the corresponding entries of x as weights.

D. The product Ax is a vector in \(R^n\).

E. Ax is a vector whose ith entry is the sum of the products of the corresponding entries from row i of A and the vector x.

These statements accurately describe properties and definitions related to matrix-vector multiplication. The product Ax is obtained by taking a linear combination of the columns of A, where the entries of x act as weights. The resulting product Ax is a vector in \(R^n\), and its entries are calculated by summing the products of the corresponding entries from row i of A and the vector x.

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Answer:

w`16

Step-by-step explanation:

I think it right

None of the statements is true, as they all refer average to the false statement that exactly one, two, three, or four of the statements is false. This statement itself is false, and so none of the other statements can be true.

None of the statements is true because they all refer to the false statement that exactly one, two, three, or four of the statements is false. This statement itself is false, and so none of the other statements can be true. The statement that exactly one of the statements is false is false because it is referring to itself as the false statement, which means that it is not actually false. Similarly, the statement that exactly two of the statements are false is false because it is referring to itself as one of the two false statements, which means that it is not actually false. The statement that exactly three of the statements are false is also false because it is referring to itself as one of the three false statements, and the statement that exactly four of the statements are false is false because it is referring to itself as one of the four false statements. Therefore, none of the statements is true.

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a.  You will pay 80% of the original price.

b. $14.40 is the discount price of the t-shirt.

c. The sale price of the gaming system is $288.

d. $22.50 is the regular price of the hat.

a. When a store offers a 20% discount, you will pay 80% of the original price. This is because the discount is taken off the original price, leaving you to pay the remaining percentage.

b. If the regular price of a t-shirt is $18, the discount price can be found by multiplying the regular price by the percentage you will pay after the discount, which is 80%.

Discount price = Regular price x (1 - Discount percentage)

Discount price = $18 x (1 - 0.20)

Discount price = $18 x 0.80

Discount price = $14.40

Therefore, $14.40 is the discount price of the t-shirt.

c. If the regular price of a gaming system is $360, the sale price can be found by multiplying the regular price by the percentage you will pay after the discount, which is 80%.

Sale price = Regular price x (1 - Discount percentage)

Sale price = $360 x (1 - 0.20)

Sale price = $360 x 0.80

Sale price = $288

Therefore, the sale price of the gaming system is $288.

d. If the discount price of a hat is $18 and the discount percentage is 20%, we can find the regular price by dividing the discount price by the percentage you will pay after the discount, which is 80%.

Regular price = Discount price / (1 - Discount percentage)

Regular price = $18 / (1 - 0.20)

Regular price = $18 / 0.80

Regular price = $22.50

Therefore, the regular price of the hat is $22.50.

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The amount of teaspon cinnamon he would need to serve is 33.33

From the question, we have the following parameters that can be used in our computation:

Number of people = 20

Using the teaspon cinnamon, we have

teaspon cinnamon = 3/5

So, we have

Amount = People/teaspon cinnamon

Substitute the known values in the above equation, so, we have the following representation

Amount = 20/(3/5)

Evaluate

Amount = 33.33

Hence, the amount is 33.33

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Based on the alternate exterior angles theorem, the value of x is: 5.

According to the alternate exterior angles theorem, when two parallel lines are cut by a transversal, the alternate exterior angles are congruent. Therefore, if m∠H = (2x+7)° and m∠K = (5x−8)°, we can set up the equation:

(2x + 7)° = (5x − 8)°

Solving for x we get:

2x + 7 = 5x - 8

Subtracting 2x from both sides:

2x + 7 - 2x = 5x - 8 - 2x

7 = 3x - 8

Adding 8 to both sides:

15 = 3x

Dividing both sides by 3:

x = 5

So the value of x is 5.

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Answer: (0.-7)

Step-by-step explanation:

Take the equation

y=x-7

The last number 7 is the Y-intercept

(0.-7)

Answer:

(0,-7)

Step-by-step explanation:

Hey There!

So we can easily find which one is a solution but taking an order pair and plugging in the x value

then we solve for y and if we get the value of y that is with the matching x value then it is a solution

for example for the first pair we plug in -1 to x

-1-7=-8

-8 does not equal -6 therefore the first one is not a solution

for the second one we plug in 0 to x

0-7=-7

-7=-7 therefore it is a solution

but lets just check the rest to be safe

for the third one we plug in 8 to x

8-7=1

-1 does not equal 1 thus it is not a solution

for the last one we plug in -1

-1-7=-8

-8 does not equal 6 therefore it is not a solution

so we can conclude that the second one is a solution

Given:

In the triangular base of the pyramid,

Base = 4m

Height = 7m

Area of base = 1/2 x Base x Height

=> 1/2 x 4 x 7 = 14 m^2

Now, Volume of Triangular Pyramid = 1/3 x Area of Base x Height

= 1/3 x 14 x 5

= 1/3 x 70

= 23.33 m^2 or 23 1/3 m^2

The line graphs represent time series data of average monthly temperatures in San Francisco and St. Louis. The graph for San Francisco indicates a mild and relatively consistent climate, with temperatures fluctuating within a narrow range throughout the year. In contrast, the graph for St. Louis shows more significant temperature variations, with distinct seasonal patterns and greater temperature fluctuations between the seasons. The analysis suggests that San Francisco experiences a milder climate compared to St. Louis, with less extreme temperature variations throughout the year.

To determine the type of data represented in the line graphs of average monthly temperatures in San Francisco and St. Louis, we need to consider the variables being plotted on the x-axis and y-axis.

If the x-axis represents time (e.g., months, years) and the y-axis represents the average monthly temperature, then the data would likely be considered as time series data. Time series data captures the variation in a variable over regular intervals of time.

In analyzing the line graphs, we can observe the following:

San Francisco:

The line graph for San Francisco shows the average monthly temperatures over time.

The temperatures generally fluctuate within a relatively narrow range throughout the year.

There is a noticeable pattern of higher temperatures during the summer months and lower temperatures during the winter months.

The graph suggests a mild and relatively consistent climate with less extreme temperature variations.

St. Louis:

The line graph for St. Louis also displays the average monthly temperatures over time.

The temperatures exhibit more significant variations compared to San Francisco.

There are distinct seasonal patterns with warmer temperatures in the summer and colder temperatures in the winter.

The graph indicates a greater temperature range, with more pronounced differences between the seasons compared to San Francisco.

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The combined thickness of a piece of sheet metal 0.078 centimeters (cm) thick and a piece of band iron 0.25 cm thick is 0.328 cm.Option b is the correct option.

A band of iron that is 0.25 cm thick and a sheet of metal that is 0.078 cm thick together have a total thickness of 0.328 cm.The ideal decision is option b.Together, a sheet of metal and a band of iron with a combined thickness of 0.078 cm and 0.25 cm have a 0.328 cm thickness.Choice b is the best course of action.A metal sheet and an iron band with a combined thickness of 0.25 cm and 0.078 cm have a combined thickness of 0.328 cm.The best move to make is option b.

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The simplification of the expression 4a + 3b - a + 3b + 6 is 3(a + 2b + 2)

Simplify 4a + 3b - a + 3b + 6

collect like terms

= 4a - a + 3b + 3b + 6

= 3a + 6b + 6

factorize

= 3(a + 2b + 2)

side a = 3x - 5

side b = 2x - 1

side c = x + 1

Perimeter = 31 cm

The perimeter of a triangle = side a + side b + side c

31 = (3x - 5) + (2x - 1) + (x + 1)

31 = 3x - 5 + 2x - 1 + x + 1

31 = 6x - 5

Add 5 to both sides

31 + 5 = 6x

36 = 6x

divide both sides by 6

x = 36/6

x = 6

Therefore, the value of x from the perimeter of the triangle is 6

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Answer:

X<12

Step-by-step explanation:

5X-10<50

5X<60

X<12