Emma has been saving up to go on a big summer trip, visiting the United States and Russia. After working hard throughout the year, she has a total of £2500 in spending money.
The exchange rates are:
£ 1 = $ 1.28, and
$129.35 Rubles
Emma has also discovered that the maximum amount of money she can enter Russia with is 32 285 Rubles.
Assuming Emma wants as much cash as possible in Russia, how much should she spend while in the United States?

The fourth co-ordinate of the rectangle is D (-2, -1). The equation of the line that passes through the points B and D is 3y = 2x + 3.

The given points are:

A(−2,3), B(4,3), C(4,−1)

When we plot these points on the graph we can easily estimate the fourth point which will be equidistant from A as the point C is from B and from the point C as the point A is from B.

Therefore, the diagonal points are B(4, 3) and D(-2, -1).

The equation of the line between these two points is:

(y - y1) = ((y2 - y1)/(x2 - x1)) (x - x1)

(y - 3) = ((-1 -3)/(-2 - 4)) ( x - 4)

y - 3 = (2/3) (x - 4)

3y - 9 = 2x - 8

3y = 2x + 1

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The probability is 1/10.

The equation x(x+5) = -n can be rewritten as x^2 + 5x + n = 0. To find the solutions of this equation, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a, where a = 1, b = 5, and c = n.

For there to be no real solutions, the discriminant (b^2 - 4ac) must be negative. The discriminant is 5^2 - 4(1)(n) = 25 - 4n. So for there to be no real solutions, 25 - 4n < 0, or n > 6.25.

Since the integer n is between 1 and 10 inclusive, the only value that would not have a real solution is n = 7. Therefore, the probability that for the randomly chosen n there exist no real solutions is 1/10.

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The equation that models this linear function is y = 12.5x + 7.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

Next, we would determine the slope of the data points in this table as follows;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (44.50 - 32.00)/(3 - 2)

Slope, m = 12.5/1

Slope, m = 12.5.

At point (2, 32.00), a linear equation of this line can be calculated in slope-intercept form as follows:

y - y₁ = m(x - x₁)

y - 32.00 = 12.5(x - 2)

y - 32.00 = 12.5x - 25

y = 12.5x - 25 + 32.00

y = 12.5x + 7

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Complete Question:

Vinh pays a convenience fee when he reserves movie ticket son his cell phone app. The app shows him the total cost of his purchase (y) for different number of tickets (x) in the table shown. What is the equation that models this linear function?

The solution to the linear system is [tex]x=\frac{\left[\begin{array}{cc}17&3\\9&-3\end{array}\right]}{\left[\begin{array}{cc}5&3\\-8&-3\end{array}\right]} ,\ y=\frac{\left[\begin{array}{cc}5&17\\-8&9\end{array}\right]}{\left[\begin{array}{cc}5&3\\-8&-3\end{array}\right]}[/tex]

An equation is a expression that shows the relationship between numbers and variables.

A linear system of equation:

Ax + By = C

Dx + Ey = F

Can be solved using:

[tex]x=\frac{\left[\begin{array}{cc}C&B\\F&E\end{array}\right]}{\left[\begin{array}{cc}A&B\\D&E\end{array}\right]} \\\\\\y=\frac{\left[\begin{array}{cc}A&C\\D&F\end{array}\right]}{\left[\begin{array}{cc}A&B\\D&E\end{array}\right]}[/tex]

Hence, for:

5x + 3y = 17

-8x - 3y = 9

[tex]x=\frac{\left[\begin{array}{cc}17&3\\9&-3\end{array}\right]}{\left[\begin{array}{cc}5&3\\-8&-3\end{array}\right]} \\\\\\y=\frac{\left[\begin{array}{cc}5&17\\-8&9\end{array}\right]}{\left[\begin{array}{cc}5&3\\-8&-3\end{array}\right]}[/tex]

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Answer:

C

Step-by-step explanation:

The cartesian equation for the curve r = 7 cos(θ) is [x -(7/2)]²+y² = 49/4, which is the equation of a circle.

Given r =7 cosθ

Multiplying throughout by ‘r’,

r² =7r cos θ --- (1)

Consider x² + y² = r² and put x = r cos θ --- (2)

x² + y² = 7x

Using completing the square method:

x² - 7x + (7/2)² + y² = (7/2)²

[x - (7/2)]² + y² = 49/4

(x - 7/2)² + (y - 0)² = (7/2)²

This is the equation of the circle with a center (7/2, 0) and radius of 7/2.

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The expression that represents the statements are

1. R = 114+P

2. M = 10+2B

3. H = 1/2M -29

Linear expressions are those statements that each term is either a constant or a variable raised to the first power.

In linear expressions, the highest power of the variable is 1.

In the first statement 'Rhona got 114 more votes Tham Petro'. Let's represent the votes for Rhona by R and for Pedro by P

therefore R = 114+ P

In the second statement 'Matt took 10 minutes longer than twice as long as Bryce took to do his assignment'

Let's represent the time it took Matt to do his assignment' by M and time it took Bryce by B.

then,

M = 10+2B

In the third statement 'A hamburger costs 29 cents less than half as much as a full meal'.

Let's represent the cost of hamburger by H and the cost of full meal' by M, then,

H = 1/2M -29

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70 different divisions are possible when eight children are divided into two teams each containing 4 children to play a game against each other

so this is what's known as a combination. a combination is a group where the order does not matter. to solve a combination, you use this equation:

n! / (r! *(n-r)!)

n is the total number of objects being sorted (8)

r is the group you need to sort them into (4)

(i know it's 2 groups of 4 but if you solve this for 1 group, the other group is automatically made of the remaining kids)

definition of !:

a number with a ! means 1*2*3...*that number (so that number multiplied by every number smaller than it all the way to one)

so we put 8 and 4 in this equation:

8! / (4! *(8-4)!)

simplify:

8! / *(4! 4!)

multiply out:

(8*7*6*5*4*3*2*1) / (4*3*2*1 * 4*3*2*1)

and put that in your calculator

you will get 70 different divisions are possible

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Answer:

Another word for the mean is "average".

Which measure of central tendency is affected by outliers? Mean.

When would you calculate an expected value? when your data points have various probabilities of occurring.

What is the median of the following set of numbers: 4, 0, -3, 5, 1, 3, -2? 3.

True or false: The mode is universally an accurate representation of data sets because it captures the number that occurs most often. False. Mode is not always an accurate representation of data sets and it may not exist in certain data sets.

Step-by-step explanation:

On solving the provided question we can say that there are 7!/(7-5)! potential sequences if 0 appears 0 or 1 times in the sequence.

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

N/10 has a value of 372.

The letters can be selected from the words "AIME" or "2007."

The only number that can be repeated twice is 0; there are seven different characters that can be chosen.

There are 7!/(7-5)! potential sequences if 0 appears 0 or 1 times in the sequence.

There are 2520 possible sequences if 0 appears 0 or 1 times in the sequence.

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Answer: study dum ahh

Step-by-step explanation:

Answer:

A. Even

Step-by-step explanation:

Even Function

A function is "even" when:

[tex]f(x) = f(-x) \;for\; all\; x\\\\[/tex]

Stated in other terms, the function graph is symmetric about the vertical(y-axis). The right part of the function graph about the y-axis is a reflection of the left part of the function graph  about the y-axis

Looking at the function graph, we see it is indeed symmetric about the y-axis

Hence an even function

When Claire and Megan meet, they will be $13\frac{1}{2}$ miles away from the outpost.

Speed is the rate at which an object moves or travels over a period of time. It is measured in units such as meters per second (m/s) or kilometers per hour (km/h). Speed is a scalar quantity, meaning it has only magnitude and not direction. For example, a car travelling at 30 km/h has a speed of 30 km/h regardless of the direction it is travelling.

This is because Claire runs at a faster speed than Megan and will reach the outpost first. When she turns around and runs back, she will have gone $9$ miles, and Megan will have gone $8\frac{1}{2}$ miles. When they meet, they will have gone a total of $17\frac{1}{2}$ miles, leaving them $13\frac{1}{2}$ miles away from the outpost.

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When Claire and Megan meet, they will be [tex]13\frac{1}{2}[/tex] miles away from the outpost. This can be solved by applying the concept of speed.

Speed is the rate at which an object moves or travels over a period of time. It is measured in units such as meters per second (m/s) or kilometers per hour (km/h). Speed is a scalar quantity, meaning it has only magnitude and not direction. For example, a car travelling at 30 km/h has a speed of 30 km/h regardless of the direction it is travelling.

This is because Claire runs at a faster speed than Megan and will reach the outpost first. When she turns around and runs back, she will have gone 9 miles, and Megan will have gone [tex]8\frac{1}{2}[/tex] miles. When they meet, they will have gone a total of [tex]17\frac{1}{2}[/tex] miles, leaving them [tex]13\frac{1}{2}[/tex]miles away from the outpost.

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someone asked tjis question before

Step-by-step explanation:

he needs 100ml to make 250ml, the explanation is somewhere on this app

Answer:

150ml

Step-by-step explanation:

250ml=100%

25ml=10%

times 25mls 6 times so that it become 60%=150ml

As per the given matrix, the stable distribution for the regular stochastic matrix is [tex]\begin{bmatrix}x \\y\end{bmatrix}=\begin{bmatrix}0.40 \\0.10\end{bmatrix}[/tex]

The term matrix is defined as  a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have given that the matrix is written as

[tex]\begin{bmatrix}0.5 & 0.2 \\0.5 & 0.8\end{bmatrix}[/tex]

In order to find the  stable distribution for the regular stochastic matrix, we must know what does it means in matrix.

The term  stable distribution for the regular stochastic matrix in math is defined as a square matrix whose columns are probability vectors. And the  probability vector is a numerical vector whose entries are real numbers between 0 and 1 whose sum is 1.

Here in order to find the solution, we have to equate the value with x and y and then we have to cross multiply the terms, then we get,

=> [tex]\begin{bmatrix}x \\y\end{bmatrix}=\begin{bmatrix}0.5\times0.8 \\0.2\times0.5\end{bmatrix}[/tex]

When we simplify this we get the solution as,

[tex]= > \begin{bmatrix}x \\y\end{bmatrix}=\begin{bmatrix}0.40 \\0.10\end{bmatrix}[/tex]

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All of the rectangles together measure 1250 meters in length.

A textile square with a 25 square meter surface area. We are aware that the area of a square is determined by multiplying one side's length by itself. The square root of 25 square meters, or 5 meters, is the length of one side of the square in this instance.

Secondly, we are aware that the fabric is being cut into 50 cm-wide rectangles. We can use the following formula to determine each rectangle's length:

(Rectangle width) x (Square cloth length) / (Width of square cloth)

The equation in this instance is (50 cm) x (25 m) / (5 m) = 2500 cm or 25 meters.

Therefore, each rectangle is 25 meters long.

We divide the square cloth's length by each rectangle's width to get the total number of rectangles.

25m / 0.5m (50cm) = 50 rectangles.

Finally, we multiply the quantity of rectangles by the average length of each rectangle to determine the total length of all the rectangles:

50 m x 25 m = 1250 m

Therefore, a square piece of fabric that is 25 square meters in size and has been divided into 50 rectangles, each measuring 50 cm wide and 25 meters long.

Therefore the rectangles together measure 1250 meters in length.

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On solving the provided question, we can say that  10% condition is met,

There are two separate random samples available.

selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.

There are two separate random samples available.

The 10% requirement is satisfied.

For both samples, 24, 26, 29, and 31 triumphs and failures are anticipated.

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The reaction at Roller A is 1800 N and the reaction at Pin B is 2450 N. To calculate the reaction at Pin B, you need to multiply the length of the pin (3 m) by the load (450 N) and add the additional load (600 N).

Reaction at Roller A:

2 m * 900 N = 1800 N

Reaction at Pin B:

3 m * 450 N + 600 N = 2450 N

To calculate the reaction at Roller A, you need to multiply the length of the roller (2 m) by the load (900 N). This gives you 1800 N.

To calculate the reaction at Pin B, you need to multiply the length of the pin (3 m) by the load (450 N) and add the additional load (600 N). This gives you 2450 N.

The reaction at Roller A is 1800 N and the reaction at Pin B is 2450 N.

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Answer: 5 hardcover and 3 paperback

Step-by-step explanation: To solve, we need to keep this question in mind:

"How many books can we buy for each without going over the initiate amount [$26]?"

So, let's start with the $4 books, so knowing our multiples of 4

ex. 4, 8, 12, 16, 20, 24, 28......

So, I listed the example of the multiples. So, it can be either 20 or 24. So, it would be 20, because it is under the initiate amount AND it is less with unincluded paperback books. So, 26-20 = 6. So, if each paperback book costs $2, we need to divide 6 by 2. That's 3. So, therefore, she can buy 5 hardcovers and 3 paperbacks by spending all the money. I hope this helps!

Answer: it’s lar and we can’t compete against each other

Step-by-step explanation:

The interpretation of the value, 29,864, in the quadratic regression equation is the initial loss incurred by the company. The correct option is therefore;

A quadratic regression equation is the equation of the parabola that corresponds of best fits the points of the dataset on the coordinate plane.

The points on the graph of the question, obtained from a similar question, posted online are;

Number of units [tex]{}[/tex]           Profits ($)

500 [tex]{}[/tex]                         -10000

1200  [tex]{}[/tex]                   3000

2500  [tex]{}[/tex]                   27000

3200  [tex]{}[/tex]                   40000

3600  [tex]{}[/tex]                   45000

4300  [tex]{}[/tex]                   47000

5000  [tex]{}[/tex]                   45000

6750  [tex]{}[/tex]                   20000

The polynomial regression equation that corresponds to the points in the above table, obtained with MS Excel is presented as follows;

y = -0.004·x² + 34.637·x - 29864

Where;

y = The profit made

x = Number of units

When the company produces 0 units, x = 0, we get;

The 29864 is therefore the loss of $29864, of the company when the company produces zero units.

The correct option is therefore;

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The maximum area of the rectangle is determined by the distance between the two points on the graph and the -axis.

A rectangle is a four-sided shape with four right angles and two pairs of parallel sides. It is one of the most common shapes in the world, found in everything from building designs to artwork. Rectangles are also used in math, specifically to measure area and perimeter. Rectangles can also be classified according to their sides, with squares being a special type of rectangle with four equal sides.

To calculate the maximum possible area of the rectangle, we can use the formula A = (x2 - x1)(y2 - y1).

In this case, the two points on the graph have the same -coordinate, so the x2 - x1 part of the equation is zero. This means that the y2 - y1 part of the equation gives the maximum possible area of the rectangle. To calculate this, we need to take the difference between the two points on the graph.

For example, if the two points on the graph were (2,4) and (2,6), the maximum area of the rectangle would be (6 - 4) = 2.

Therefore, the maximum possible area of the rectangle is equal to the difference between the two points on the graph.

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The total surface area of the prism will be 290.125 Square units.

The surface area of a rectangular prism is the measure of how much-exposed area a prism has. Surface area is expressed in square units.

The surface area of a rectangular prism is given by:

SA = 2 (lh +wh + lw )

where

l = 3

w = 4.25

h = 18.25

SA = 2 (3x18.25 + 4.25x18.25 + 3x4.25)

SA = 2 (54.75 + 77.5625 + 12.75)

SA = 2 (146.0625)

SA = 290.125 square units

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According to the given option +0.03 is the r values that indicates the strongest relationship between two variables. The option 3 is correct.

The strength of the association between two variables is gauged using correlation coefficients. Although there are other kinds of correlation coefficients, Pearson's is the most widely used. A correlation coefficient frequently used in linear regression is Pearson's correlation. Correlation coefficients typically lie in the range of -1.00 to +1.00.

The closest value to +1 (positive correlation) or -1 is taken into consideration as the strongest correlation, per the rule of correlation coefficients (negative correlation).

A high correlation coefficient means that one variable's value is directly correlated with another.

There is no relationship between the two variables if the correlation coefficient is zero.

A negative correlation coefficient shows an adverse relationship between the values of the two variables.

According to the given option +0.03 is the r values that indicates the strongest relationship between two variables.

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Answer: X = [tex]\frac{1}{\sqrt{2} }[/tex]

Step-by-step explanation: Because the two angles are equal (You circled them, also 45 degs), and there is a right triangle, which means that the 90-degree angle's adjacent sides are equal, in this case, both sides equal to X.

Using the special triangle ratio ( 1, 1, [tex]\sqrt{2}[/tex]), in this case, the "2" is equal to [tex]\sqrt{2}[/tex] times [tex]\sqrt{2}[/tex], so you have to divide the "1" (X) by [tex]\sqrt{2}[/tex], you simply get [tex]\frac{1}{\sqrt{2} }[/tex].

Sorry for my bad english

The property of square depicted is not common for all regular polygon

If a polygon's sides and angles are equal, it is said to be regular. As a result, an equilateral triangle is a regular triangle, and a regular quadrilateral is a square.

The property showed how the square was merged with every two sides fully overlapping to form a bigger square

The trapezium which can also be a regular polygon (quadrilateral) lacks such property of arranging four trapeziums side by side, making overlaps that will form a bigger trapezium.

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Answer: 24 games

Step-by-step explanation: 60-60%=24

[tex]dy/dt[/tex] for each pair of functions is [tex]4t^3 + 28t[/tex].

[tex]y[/tex] = [tex]x^2 - 2x[/tex]

[tex]x[/tex] = [tex]t^2 + 8[/tex]

[tex]y[/tex] = [tex](t^2+8)^2 - 2(t^2+8)[/tex]

[tex]dy/dt[/tex] = [tex]2(t^2+8)(2t) - 2(2t)[/tex]

         = [tex]4t^3 + 32t - 4t[/tex]

[tex]dy/dt[/tex] = [tex]4t^3 + 28t[/tex]

The derivative of a function of a real variable in mathematics quantifies the sensitivity of the function's value (output value) to changes in its argument (input value). Calculus's core tool is the derivative. The velocity of an item, for instance, is the derivative of its position with respect to time; it quantifies how quickly the object's position varies as time passes.

When it occurs, the slope of the tangent line to the function's graph at a given input value is the derivative of a function of a single variable. The function closest to that input value is best approximated linearly by the tangent line.

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Here are three different sequences starting with 1, 2, and 4, where the terms are generated by a simple rule:

1, 2, 4, 8, 16, 32, ...

The rule for this sequence is to multiply the previous term by 2.

1, 2, 4, 7, 11, 16, 22, ...

The rule for this sequence is to add the previous two terms.

1, 2, 4, 8, 14, 24, ...

The rule for this sequence is to multiply the previous term by 2 and then subtract it from the previous term.

Note that there is an infinite number of different sequences that can be generated by simple rules.

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The different percentages of the distance is 100%, 25% & 125%.

The Latin word "per centum," which means "by the hundred," served as the basis for the English word "percentage." Percentages are fractions with the denominator 100. In other words, it is the relationship between a part and a whole in which the value of the whole is always assumed to be 100.

A percentage is a fraction or ratio in which the whole value is always 100. For instance, Sam would have received 30 out of a possible 100 points if he had received 30% on his math test. It is expressed as 30/100 in fractional form and 30:100 in ratio form.

48 = 100% of 48

12 = 25% of 48

60 = 125% of 48

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