Written question

A main meal in a Japanese restaurant cost 4373 yen.
The exchange rate is £1 = 189 yen.
What is the cost in pounds?

Answer ASAP

Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

a. The amplitude of the function y = 4 sin [(2π / 365)(x - 79)] + 12 is 4.

b. The period of the function y = 4 sin [(2π / 365)(x - 79)] + 12 is 365 days.

c. There are approximately 16 hours of daylight on the longest day of the year.

d. There are approximately 8 hours of daylight on the shortest day of the year.

e. The graph for the function is obtained.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The function is given as y = 4 sin [(2π / 365)(x - 79)] + 12.

a. The amplitude of the function is the coefficient of the sine function, which is 4.

Therefore, the amplitude of the function is 4.

b. The period of the function is given by the formula: period = (2π/b), where b is the coefficient of x in the sine function.

In this case, b = (2π/365), so the period is -

period = (2π / (2π/365)) = 365

Therefore, the period value is 365 days.

c. The longest day of the year occurs on the summer solstice, which is around June 21.

On this day, x = 171 (assuming January 1 is x = 1). Plugging x = 171 into the function gives -

y = 4 sin [(2π/365)(171 - 79)] + 12 = 15.998 hours

Therefore, the number of hours for daylight is 16 hours.

d. The shortest day of the year occurs on the winter solstice, which is around December 21.

On this day, x = 355. Plugging x = 355 into the function gives -

y = 4 sin [(2π/365)(355 - 79)] + 12 = 8.002 hours

Therefore, the number of hours for daylight is 8 hours.

e. To graph the function for one period, we need to find the values of y for x ranging from 1 to 365.

We can use a graphing tool or software to plot the function.

The graph is plotted.

The x-axis represents the number of days after January 1, and the y-axis represents the number of hours of daylight.

The function oscillates between 8 and 16 hours of daylight over the course of one year, with the maximum occurring around day 171 and the minimum occurring around day 355.

The graph shows that the function is periodic, with a period of 365 days, as expected.

Therefore, the function is plotted.

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The range of the cigarette tax (in cents) for 50 selected states is 62.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The range of a given set of data is the difference between the largest value and the smallest value.

Given the data shown represent the cigarette tax (in cents) for 50 selected states

70,12,42,45,50,51,60,69,8,40,18

Required; The range

This is calculated as:

Range = highest - lowest

Range = 70 - 8

Range = 62

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The y-intercept of the line representing Beatrice's monthly music is 20

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

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

The domain and range for the function shown in the graph above include the following:

D. D: [-∞, ∞]

    R: [-10, ∞]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-∞, ∞] or all real numbers.

Range = [-10, ∞] or y ≥ -10

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Answer:

The system of equations is: y = 3/4x - 3

                                               3x - 4y = 12

Step-by-step explanation:

The given equation is y = 3/4x - 3.

To write a system of equations, we need at least two equations with two variables. We only have one equation, we can create another equation to form a system by introducing a new variable and adding a constraint.

So let's introduce a new variable z and add the constraint that z = 2x. Thus we have:

y = 3/4x - 3

z = 2x

Now we have a system of two equations with two variables: x and y. We can solve for x and y in terms of z:

y = 3/4x - 3

z = 2x

z/2 = x

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

y = 3z/8 - 3

So the system of equations is:

x = z/2

y = 3z/8 - 3

Moreover, we could solve for y in terms of x to get a different system of equations:

y = 3/4x - 3

4y = 3x - 12

3x - 4y = 12

So the system of equations is:

y = 3/4x - 3

3x - 4y = 12

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A mean is an arithmetic average of a set of observations. The mean height of the five students is 148.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Given that the mean height of three boys is 150 centimeters. Therefore, the sum of height of the three boys is,

Mean Height of boys = Sum of height of boys / Number of boys

150 = Sum of height of boys/ 3

Sum of height of boys = 150 x 3 = 450

Also, given that the mean height of two girls is 145 centimeters. Therefore, the sum of height of the two girls is,

Mean Height of girl = Sum of height of girls/ Number of girls

145 = Sum of height of girls/ 2

Sum of height of girls = 145 x 2 = 290

Further, the mean height of five students is,

Mean height of five students = Sum of height of students / Number of students

Mean height of five students = (450 + 290)/ 5

Mean height of five students = 740 / 5

                                                = 148

Hence, the mean height of the five students is 148.

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the answer to the equation is x=15

SOLUTION STEPS

(8x+19)(9x+9)

Apply the distributive property by multiplying each term of 8x+19 by each term of 9x+9.

72x 2 +72x+171x+171

Combine 72x and 171x to get 243x.

72x 2 +243x+171

hopefully my weird explanation helped

Answer:

a) The mean is 18 and the standard deviation is 1.79.

b) The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.

c) 0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 18 and a standard deviation of 8.

This means that \(\mu = 18, \sigma = 8\)

Sample of 20:

This means that \(n = 20, s = \frac{8}{\sqrt{20}} = 1.79\)

(a) Calculate the mean and standard deviation of the sampling distribution of x¯.

By the Central Limit Theorem, the mean is 18 and the standard deviation is 1.79.

(b) Interpret the standard deviation from part (a).

The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.

(c) Find the probability that a sample of 20 students has a mean score of 19.5 or more.

This is 1 subtracted by the pvalue of Z when X = 19.5. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{19.5 - 18}{1.79}\)

\(Z = 0.84\)

\(Z = 0.84\) has a pvalue of 0.7995

1 - 0.7995 = 0.2005

0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.

Answer:

Denver, Colorado is 0.98 miles above sea level

Step-by-step explanation:

There are 5280 feet in one mile. 5183/5280=0.98, rounding to the nearest hundredth.

So, Denver, Colorado is 0.98 miles above sea level, or 49/50 of a mile.

Sydney will run 15,840 feet

Answer:

160 inches

Step-by-step explanation:

47+33+47+33=160inches

Answer:

9.6 calories/min

Step-by-step explanation:

Here Bryce burns 144 calories in 15 mins

Therefore, For each min value you need to:-  Divide the Total Number of calories by Total Time Taken

i.e. 144 calories / 15 min = 9.6 calories/min

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the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Answer:

jngijmgjim

Step-by-step explanation:

gvnjv jg

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.

So, the probability of picking any color at random is

P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.

Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:

P(X ≥ 2) = 1 - P(X < 2).

The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.

Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

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The function which shows the cube root of parent function is; Choice A; G(x) = ³√(1/4)x.

It follows from task content that upon observation and test of values that;

At point x = 4, G(x) = 1.

This of course stands through for the graph and hence Choice A; is correct.

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Answer:

Correct answer is C.

Step-by-step explanation:

Did the test

Answer:

85 X 100,000 = 85X

85x = 8500000.

The company earned $8,500,000

Step-by-step explanation:

Answer:

96 blue beans

Step-by-step explanation:

all beans

= 104 ➗ 13%

= 800

blue beans

= 800 ✖ 12%

= 96

Answer:

B 33

Step-by-step explanation:

The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.

It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.

Since slope is the rate of change in y with respect to x;

The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;

Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.

Remarks: The complete question is such that the required slope is -2.

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Answer: the second option

Step-by-step explanation:

i took the assignment

Las dos rectas que se cortan formando un ángulo de 135° son secantes. (Opción: C)

Las dos rectas en cuestión no pueden ser paralelas pues sus pendientes son distintas y, por consiguiente, se intersecan en algún lugar del plano.

Tampoco pueden ser semirrectas pues el enunciado indica que existen dos rectas y las rectas no tienen principio ni fin.

Mucho menos pueden ser perpendiculares, pues el ángulo es distinto a 90°.

En consecuencia, las dos rectas que se cortan formando un ángulo de 135° son secantes. (Opción: C)

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The numeric values for this problem are given as follows:

The function in this problem is a piecewise function, meaning that it has different definitions based on the input x of the function.

For x between -2 and 2, the function is defined as follows:

g(x) = -(x - 1)² + 2.

Hence the numeric value at x = -1 is given as follows:

g(-1) = -(-1 - 1)² + 2 = -4 + 2 = -2.

For x at x = 2 and greater, the function is given as follows:

g(x) = 0.5x - 1.

Hence the numeric values at x = 2 and x = 3 are given as follows:

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Answer:

6 in ^2

Step-by-step explanation:

divide side lengths by two and add those numbers

Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

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Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

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