harper wants to exchange £350 for dollars, how many more dollars would she get in the bank than in the post office

post office: £1 = $1.27 Bank:£1 = $1.34

Answer:

x=9

Step-by-step explanation:

you will choose any number and place it in x. in that case I used 9. You'll then use bodmas to do the sum. and you'll get the answer.hope it helps

Answer:

9

Step-by-step explanation:

6-3+x=12

3+x=12

x=12-3

x=9

the maximum height of a quadratic equation can be find Use the formula: x = -b / (2a) then Substitute the value of x back into the quadratic equation to find the corresponding maximum height.

To find the maximum height of a quadratic equation, you need to determine the vertex of the parabolic curve. The vertex represents the highest or lowest point of the quadratic function, depending on whether it opens upward or downward.

A quadratic equation is generally written in the form of y = ax² + bx + c, where "a," "b," and "c" are coefficients.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a). This formula gives you the line of symmetry of the parabola.

Once you have the x-coordinate of the vertex, substitute it back into the original equation to find the corresponding y-coordinate.

The resulting y-coordinate represents the maximum height (if the parabola opens downward) or the minimum height (if the parabola opens upward) of the quadratic equation.

Here's an example:

Consider the quadratic equation y = 2x² - 4x + 3.

1. Identify the coefficients:

a = 2

b = -4

c = 3

2. Find the x-coordinate of the vertex:

x = -(-4) / (2 * 2) = 4 / 4 = 1

3. Substitute x = 1 back into the equation to find the y-coordinate:

y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

Therefore, the maximum height of the quadratic equation y = 2x² - 4x + 3 is 1.

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The maximum height of a quadratic equation can be found by determining the vertex of the parabolic shape represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate represents the maximum height.

To find the maximum height of a quadratic equation, we need to determine the vertex of the parabolic shape represented by the equation. The vertex is the point where the parabola reaches its highest or lowest point.

The general form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants. To find the x-coordinate of the vertex, we can use the formula x = -b / (2a).

Once we have the x-coordinate, we can substitute it back into the equation to find the corresponding y-coordinate, which represents the maximum or minimum height of the quadratic equation.

Let's take an example to illustrate this process:

Suppose we have the quadratic equation y = 2x^2 + 3x + 1. To find the maximum height, we first need to find the x-coordinate of the vertex.

Using the formula x = -b / (2a), we can substitute the values from our equation: x = -(3) / (2 * 2) = -3/4.

Now, we substitute this x-coordinate back into the equation to find the y-coordinate: y = 2(-3/4)^2 + 3(-3/4) + 1 = 2(9/16) - 9/4 + 1 = 9/8 - 9/4 + 1 = 9/8 - 18/8 + 8/8 = -1/8.

Therefore, the maximum height of the quadratic equation y = 2x^2 + 3x + 1 is -1/8.

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Answer:

6+1.25t

Step-by-step explanation:

W(in the 1st month)=6+1.25

W(in the 2nd month)=6+1.25+1.25

W(in the 3rd month)=6+1.25+1.25+1.25

W(in the t months)=6+t(1.25)

The probability that a whole number between 1 and 12 selected at random is a multiple of two or three is 7/12, or approximately 0.58.
To find the probability that a whole number between 1 and 12 selected at random is a multiple of two or three, we need to first determine the number of possible outcomes that meet this criteria.

The multiples of two between 1 and 12 are 2, 4, 6, 8, 10, and 12. The multiples of three between 1 and 12 are 3, 6, 9, and 12. However, we need to be careful not to count 6 and 12 twice. Therefore, the total number of possible outcomes that meet the criteria of being a multiple of two or three is 7 (2, 3, 4, 6, 8, 9, 10).

Next, we need to determine the total number of possible outcomes when selecting a whole number between 1 and 12 at random. This is simply 12, as there are 12 whole numbers in this range.

Therefore, the probability that a whole number between 1 and 12 selected at random is a multiple of two or three is 7/12, or approximately 0.58.

In summary, the probability of selecting a whole number between 1 and 12 at random that is a multiple of two or three is 7/12.

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Answer:

0.5

Step-by-step explanation:

5/10 of a circle is half of the circle.

Half is 0.5.

Step-by-step explanation:

plz use this app you will get every answer quickly

Answer:

17

Step-by-step explanation:

This is a very neat problem -- for teachers.

Let the number of sides = y

The sum of the interior angles is 180*(y - 2)

We are told that this sum equals 9x^2

So far the equation is

(y - 2)*180 = 9x^2                   Divide both sides by 9

(y - 2)*20 = x^2                       Remove the brackets on the left.

20*y - 40 = x^2

We need another fact. We get that from the statement that x is three greater than the number of sides (y). Therefore y = x - 3

20*(x - 3) - 40 = x^2

20x - 60 - 40 = x^2       Combine like terms on the left

20x - 100 = x^2             Bring the left side to the right side.

0 = x^2 - 20x + 100      You have a quadratic.

a = 1

b = - 20

c = 100

When you solve the quadratic equation, you get

x = 20

Therefore the number of sides is 17.

If the solar system formed similarly to the observed star system, we would expect to see the Sun spinning rather than stationary. This is supported by observations of other stars and their rotation.

The formation of a star system typically involves the collapse of a rotating cloud of gas and dust. As the cloud collapses, it begins to spin faster due to the conservation of angular momentum. This spinning motion is commonly observed in star-forming regions and is consistent with our understanding of the formation process.

Considering that the observed star system is likely a product of similar physical processes as our solar system, we can infer that the Sun would also exhibit a spinning motion. This is supported by observations of other stars and their rotation.

The spinning motion of the Sun is responsible for various phenomena, including the formation of sunspots, solar flares, and the generation of a magnetic field. The Sun's rotation period is approximately 27 days at its equator, while the rotation speed decreases towards its poles. Therefore, if we were to observe the Sun, we would expect to see it spinning rather than remaining stationary.

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Answer:

Step-by-step explanation:

This helps in the representation of problems as mathematical expressions. It involves variables like x, y, z and mathematical operations like addition, subtraction, multiplication and division to form a meaningful mathematical expression. For example in algebra is 2x+4=8.

Answer:

84.78

Step-by-step explanation:

You do 27 tomes pi(3.14)

Answer:

Circumference ≈ 84.82cm

Step-by-step explanation:

The diameter is 27cm

The equation to find circumference is (2πr)   (Two times pi times radius)

We are given the diameter, the length across entire circle through the center of the circle, but we need radius, the distance between the center point to the edge of the circle.

To get radius, you divide diameter by 2, getting 13.5.

Now, all you have to do is "plug-and-chug,"  putting 13.5 in for radius in the circumference equation. (2π13.5)

You will get Circumference ≈ 84.82

Answer:

Outcome A: 12/25 or 0.48

Outcome B: 9/25 or 0.36

Outcome C: 4/25 or 0.16

Experimental probability distribution:

A: 0.48

B: 0.36

C: 0.16

Step-by-step explanation:

Question 1:

Question 2:

Answer:

0.64y = 40.

Question 2:

0.45z = 72

z = 72 * (1/0.45) = 160.

Step-by-step explanation:

The value of x in the equation \(1,331x^3 - 216 = 0\) is approximately 0.541.

A formula is a mathematical expression of a significant relationship between two or more variables.

By first isolating x and then calculating the cube root of both sides, we may find the solution to the equation 1,331x3 - 216 = 0 for x:

\(1,331x^3 - 216 = 0\)

\(1,331x^3 = 216\)

\(x^3 = 216/1,331\)

\(x^3 = 0.162\)

As a result of taking the cube roots of both sides,

x = 0.541

As a result, x in equation 1,331x3 - 216 = 0 is almost equal to 0.541.

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The solution set to the given inequality is

(-∞, -4) U (2,∞)

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

5(x – 2)(x + 4) > 0

First we solve for x, we replace the inequality sign by = sign

5(x – 2)(x + 4) = 0

Divide both sides by 5

(x – 2)(x + 4) = 0

Now we set each factor =0  and solve for x

x-2 =0 , so x= 2

x+4 =0, so x= -4

Now we use number line and make three intervals

First interval -infinity to -4

second interval -4 to 2

third interval 2 to infinity

Now we check each interval with our inequality

First interval -infinity to -4, pick a number in this interval and check with our inequality. lets pick -5

5(-5 – 2)(-5 + 4) > 0

35>0 is true

second interval -4 to 2, pick a number in this interval and check with our inequality. lets pick 0

5(0– 2)(0 + 4) > 0

-40>0 is false

Third interval 2 to infinity, pick a number in this interval and check with our inequality. lets pick 3

5(3 – 2)(3 + 4) > 0

35>0 is true

solution set are the intervals that make the inequalities true

(-∞, -4) U (2,∞)

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Question:

What is the solution set to the inequality 5(x – 2)(x + 4) > 0?

Answer: 2.3716 <-------- This is the Code

Step-by-step explanation:

1.4 x 2.5 = 3.5

2.2 x 2.5 = 5.5

1.4 x 0.2 = 0.28

2.2 x 0.2 = 0.44

3.5 x 0.28 = 0.98

5.5 x 0.44 = 2.42

Then:

X         1.4           2.2

2.5      3.5          5.5

          - x -          - x -    

0.2      0.28        0.44

           - = -           - = -

        0.98  x    2.42 = 2.3716 <-------- This is the Code

Answer:

5

Step-by-step explanation:

because 8+8+8+8+8=40 or 8*5

and theres 8 five times

If row-reducing the augmented matrix does not produce any non-zero entries in the right-hand side, then the columns of A are linearly independent.

To determine if the columns of matrix A form a linearly independent set, we need to check if the equation Ax = 0 has only the trivial solution x = 0.

Let's assume the given matrix A is:

A = [a1, a2, a3, ..., an]

If the columns of A are linearly independent, then the equation Ax = 0 has only the trivial solution.

To solve the equation Ax = 0, we set up the augmented matrix [A | 0] and row-reduce it:

[A | 0] =

[a1, a2, a3, ..., an | 0]

Row-reducing the augmented matrix will help us determine if there are any non-trivial solutions to the equation Ax = 0.

If row-reducing the augmented matrix leads to a row of zeros with a non-zero entry in the corresponding row of the right-hand side (0), then the columns of A are linearly dependent, and there exists a non-trivial solution.

If row-reducing the augmented matrix does not produce any non-zero entries in the right-hand side, then the columns of A are linearly independent.

By performing row operations on the augmented matrix [A | 0] and examining the resulting row echelon form, we can determine if the columns of A are linearly dependent or independent and find the dependence relation if they are dependent.

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The area of the rectangle is increasing at a rate of 166 cm^2/s when the length is 15 cm and the width is 13 cm.

To find the rate at which the area of the rectangle is increasing, we need to use the formula for the area of a rectangle, which is A = lw (where A is the area, l is the length, and w is the width).

We can differentiate both sides of the equation with respect to time (t) to obtain:

dA/dt = (dl/dt)w + l(dw/dt)

Here, dl/dt is the rate of change of the length, which is given as 7 cm/s, and dw/dt is the rate of change of the width, which is given as 5 cm/s.

We can substitute these values along with the given values of length and width (l = 15 cm and w = 13 cm) to obtain:

dA/dt = (7 cm/s)(13 cm) + (15 cm)(5 cm/s)

dA/dt = 91 cm^2/s + 75 cm^2/s

dA/dt = 166 cm^2/s

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Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The number of pounds for 3 people is given by:

\(3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}\)

Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:

\(\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}\)

24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:

one and three seventh pounds.

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Answer:

Step-by-step explanation:

the awnser is cerrot.

Answer:

6300

Step-by-step explanation:

Remember, we do not necessarily round up or down, but to the hundred that is nearest to 6258.

When rounding a number such as 6258 to the nearest hundred, we use the following rules:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

In this case, Rule A applies and 6258 rounded to the nearest hundred is:

6300

Answer:

Step-by-step explanation:

it is 6300

If there were 6 people in the lifeboat instead of 4, the water would last for 8 days.

To calculate how long the water would have lasted if there were 6 people in the lifeboat instead of 4, we can assume that the rate of water consumption remains constant per person.

Let's denote the original consumption rate per person as C, and the number of days the water would last for 4 people as D.

We can set up a proportion to find the new number of days, X, for 6 people:

4 people consume water for 12 days (4 * 12 = 48 "person-days" of water consumption).

6 people would consume water for X days (6 * X = 6X "person-days" of water consumption).

Since the rate of water consumption per person remains the same, the proportion can be expressed as:

4 * 12 = 6 * X

48 = 6X

To solve for X, divide both sides of the equation by 6:

48/6 = X

X = 8

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Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.

The American Institute of CPAs would like to update the study.

They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.

Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.

The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²

Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

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Answer:

$28

Step-by-step explanation:

\(22 + x - 12 = 38\)

\(x + 1 0 = 38\)

\(x = 28\)

Answer: 480 children's tickets

Step-by-step explanation:

On the Friday, 720 adult tickets were sold.

This number was 9 times the number of children's tickets sold. Number of adult tickets sold was therefore:

= 720/9

= 80 children's tickets.

On the Saturday, 6 times the above amount was sold:

= 6 * 80

= 480 children's tickets

Answer:

24 and 25

Step-by-step explanation:

From given, we have,

7 square = 49

Let the first positive number be = x

And the second consecutive positive number is = x+1

x + (x + 1) = 49

2x + 1 = 49

2x = 49 - 1

2x = 48

x = 24

the first number x = 24

the second consecutive number x+1  = 24 + 1 = 25

Thus, 7 square = 24 + 25 (the sum of two consecutive positive numbers.)

Answer:

SQ/VT = QR/TU = SR/VU

hope it helps

The sample mean, s is the sample standard deviation, n is the sample size, and t is the critical value of the t-distribution with (n - 1) degrees of freedom.

For the given case, the most appropriate confidence interval would be the t-interval for the population mean. Confidence interval: A confidence interval refers to the range of values that are likely to include the population parameter. Confidence intervals provide us with a range of values where the true mean lies with some degree of certainty. The formula to calculate a confidence interval for the mean with a known population standard deviation is as follows

\(:\[\overline{x}-z\frac{\sigma }{\sqrt{n}}\text{ }\le \text{ }\mu \text{ }\le \text{ }\overline{x}+z\frac{\sigma }{\sqrt{n}}\]Where, \[\overline{x}\]\) is the sample mean, σ is the population standard deviation, z is the critical value of the normal distribution and n is the sample size.

Now, since the population standard deviation is unknown, a t-distribution must be used instead of the normal distribution. Thus, the formula to calculate a confidence interval for the mean with an unknown population standard deviation is as follows:\(\[\overline{x}-t\frac{s}{\sqrt{n}}\text{ }\le \text{ }\mu \text{ }\le \text{ }\overline{x}+t\frac{s}{\sqrt{n}}\]\)

Where, s is the sample standard deviation, and t is the critical value of the t-distribution with n - 1 degrees of freedom. Given that the sample size is 55, the appropriate degrees of freedom to use would be (55 - 1) = 54.Since we are constructing a confidence interval for the true mean filling amount of DoubleStuf Oreos, the appropriate confidence level to use would depend on the desired level of certainty or the margin of error. Commonly used levels of confidence are 90%, 95%, and 99%. A 95% confidence level is usually preferred for most cases.

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