Find the value of x help asap

Answer:

Pauline made $8 per hour last week.

Step-by-step explanation:

$280÷35=$8

Answer:

a= 0

b= \(-\frac{\sqrt{42} }{12}\)

Step-by-step explanation:

We can rewrite the expression to be:

\(\frac{i\sqrt{7} }{i^{2}\sqrt{24} }\)

We then can cancel out the i and we get

\(\frac{\sqrt{7} }{\sqrt{24} i}\)

Can be rewritten as

\(\frac{\sqrt{7} }{2\sqrt{6} i}\)

We then rationalize and get

\(-\frac{\sqrt{42} }{12} i\)

Answer:

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.

Step-by-step explanation:

The points given are (-4.5,0) and (3,0), which means the points are on the x-axis. Point R (-4.5,0) will be located to the left of 0, the negative side of the number line between the 4th and 5th marks. Point T (3,0) will be located to the right of 0, the positive side of the number line at the 3rd mark.

The second answer is incorrect because point (-4.5,0) is not on the right side of 0 but on the left side.

The third answer is incorrect because point T(3,0) is place between 2 and first mark instead of the third mark.

The fourth answer is incorrect because R (-4.5,0) is placed on the first mark instead of between 4th and 5th mark.

Answer:

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.

Answer:

No. of bags of rice packed = 198

Amount of rice in each bag = 3 kg

Therefore, total kilograms of rice packed=198×3=594 kg

Step-by-step explanation:

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They packed 594 kilograms of rice.

Given:

Number of bags packed by the group of volunteers = 198

Number of kilo a bag contains = 3 kg

Therefore:

Number of kilograms of rice packed by the volunteers = number of bags packed \(\times\) number of kilo one bag of rice weighs

Thus:

Number of kilos of rice packed = \(198 \times 3 $ kg\\\)

\(= 594 $ kg\)

Therefore, the volunteers packed 594 kilograms of rice.

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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Step-by-step explanation:

When adding two fractions with different bases (bottom numbers), we can use this function:

\(\frac{a}{b} + \frac{c}{d} = \frac{ad + cb}{bd}\)

So, to apply this to the given question:

\(\frac{x+3}{x-6} +\frac{1}{x-2}\)

= \(\frac{(x+3)(x-2)+(1)(x-6)}{(x-6)(x-2)}\)

From the given answers, we see we don't need to simplify the resulting base number, which makes things a lot easier.

= \(\frac{[(x*x) + (x*-2)+(3*x)+(3*-2)]+(x-6)}{(x-6)(x-2)}\)

= \(\frac{[x^2 -2x+3x-6]+(x-6)}{(x-6)(x-2)}\)

= \(\frac{x^2 -2x+3x-6+x-6}{(x-6)(x-2)}\)

= \(\frac{x^2 +2x-12}{(x-6)(x-2)}\)

Now if we wanna be a little smart, we can see that from here, the only answer that has x^2 and something else, is A. But, just for show, lets factor.

= \(\frac{x(x+2)}{(x-6)(x-2)}\)

Answer:

A) \(\frac{x(x+2)}{(x-6)(x-2)}\)

12 : 48 : 24

thats the answer

12 passion fruit

48 grapefruit

24 grape juice

The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

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Answer:

It will be: ( 5x - y =7 )4

20x - 4y = 28

Option (C)

The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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The number of different license plates that can be made in Idaho with 4 numbers followed by 2 letters is 6,760,000, option a is correct.

To determine the number of different license plates that can be made in Idaho with 4 numbers followed by 2 letters, we need to consider the possibilities for each element.

For the numbers, we have 10 options (0-9) for each of the four positions, resulting in a total of \(10^4 = 10,000\) combinations.

For the letters, we have 26 options (A-Z) for each of the two positions, resulting in a total of \(26^2 = 676\) combinations.

To find the total number of different plates, we multiply the number of possibilities for each element:

\(10,000 \times 676 = 6,760,000\).

Hence, option a is correct.

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To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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As the number of successful bit transmissions in a sequence of 10 bits sent over the internet. Then x follows a binomial distribution with parameters n=10 and p=0.5.

The binomial distribution models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has only two possible outcomes: success or failure. In this case, the number of trials is 10 (n=10) and the probability of success in each trial is 0.5 (p=0.5).

Since each bit transmitted over the internet can be considered a Bernoulli trial, it follows that the number of successful transmissions (x) follows a binomial distribution with parameters n=10 and p=0.5.

These properties make the binomial distribution a useful model for situations where the number of trials is fixed, each trial is independent, and each trial has only two possible outcomes.

In the example of sending bits over the internet, each bit transmission can be considered a Bernoulli trial, so the number of successful transmissions follows a binomial distribution.

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Answer:

$12,$11,$10,$9

Step-by-step explanation:

As the starting price is $12, the first piece of information they give you is the number of cans + the discount each one gives, meaning that the table should have two titles being cost and cans. The number of cans should be at the top with the price being put below for example.

cans:  0    2   4    6

cost:  12   11   10   9

that is the table; the equation to figure this out would be

if you say that 1 can is = to "x"

then the equation becomes much easier to write down and you can simply write it down for each price

cost = 12

cost = 12 - 2x = 11

cost = 12 - 4x = 10

cost = 12 - 6x = 9

making x worth 0.5

Answer: $12,$11,$10,$9

Step-by-step explanation:

As the starting price is $12, the first piece of information they give you is the number of cans + the discount each one gives, meaning that the table should have two titles being cost and cans. The number of cans should be at the top with the price being put below for example. cans:  0    2   4    6 cost:  12   11   10   9 that is the table; the equation to figure this out would be if you say that 1 can is = to "x" then the equation becomes much easier to write down and you can simply write it down for each price cost = 12 cost = 12 - 2x = 11 cost = 12 - 4x = 10 cost = 12 - 6x = 9 making x worth 0.5

The skier's distance to the east of the center of the ski trail is

x = 1.25cosθ

The skier's distance to the north of the center of the ski trail is

y = 1.25sinθ

When radius 'r' and the angle θ are given, the coordinates (x,y) as shown

x = east direction

y = north direction

In this case we get,

x = r cosθ

y = r sinθ

Given r = 1.25 km

We get,

x = 1.25 cosθ in east direction

y = 1.25 sinθ in north direction

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Answer:

x = -7

Step-by-step explanation:

Use the distibutive property on both side:

Right side:

4 ( 1 - x )

( 4 x 1 ) + 4 x -X )

4 - 4x

Left side:

-3 ( x + 1 )

( -3 x X ) + ( -3 x 1 )

-3x -3

4 - 4x + 2x = -3x - 3

Combine like terms:

( 2x + ( -4x ) ) + 4 = -3x - 3

-2x + 4 = -3x - 3

Add 3 to each side:

-2x + 7 = -3x

add 2x to each side:

7 = -x

Divide each side by -1:

-7 = x

1.) The probability that the sample mean will be greater than 48 minutes is 0.9332.

2.) The probability of the sample mean being between 44 and 49 minutes is 0.6687.

3.) The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean.

To solve this problem, we can use the Central Limit Theorem (CLT), which states that the distribution of sample means tends to be approximately normally distributed, regardless of the shape of the original population, when the sample size is large enough.

1.) Probability of sample mean > 48 minutes:

To calculate this probability, we need to standardize the sample mean using the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, the population mean (μ) is 45 minutes, the population standard deviation (σ) is 12 minutes, and the sample size (n) is 36. We want to find the probability of the sample mean being greater than 48 minutes.

Calculating the z-score:

z = (48 - 45) / (12 / √36) = 3 / 2 = 1.5

Using a standard normal distribution table or calculator, we find that the probability corresponding to a z-score of 1.5 is approximately 0.9332. Therefore, the probability that the sample mean will be greater than 48 minutes is approximately 0.9332.

2.) Probability of sample mean between 44 and 49 minutes:

To calculate this probability, we need to find the z-scores for both 44 and 49 minutes and then calculate the area between those z-scores.

Calculating the z-scores:

For 44 minutes:

z1 = (44 - 45) / (12 / √36) = -1 / 2 = -0.5

For 49 minutes:

z2 = (49 - 45) / (12 / √36) = 4 / 2 = 2

Using the standard normal distribution table or calculator, we find the probabilities corresponding to z1 and z2:

P(z < -0.5) ≈ 0.3085

P(z < 2) ≈ 0.9772

The probability of the sample mean being between 44 and 49 minutes is approximately P(-0.5 < z < 2) = P(z < 2) - P(z < -0.5) ≈ 0.9772 - 0.3085 = 0.6687.

3.)Conclusion from 100 samples with a mean of 65 minutes:

If 100 samples were collected, and the sample mean was 65 minutes, we would need to assess whether this value is significantly different from the population mean of 45 minutes.

To make this assessment, we can calculate the z-score for the sample mean of 65 minutes:

z = (65 - 45) / (12 / √36) = 20 / 2 = 10

The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean. This is an extremely large deviation, suggesting that the sample mean of 65 minutes is highly unlikely to occur by chance.

Given this, we can conclude that the sample mean of 65 minutes is significantly different from the population mean. It may indicate that there is a systematic difference in the delivery times between the sample and the population, possibly due to factors such as increased demand, traffic, or other external variables

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SOLUTION

We are told that

This means that

Answer:

4x + 10

Step-by-step explanation:

Given

Let

\(t = time\)

\(s = speed\)

So:

\(t = 2; s = (2x +5)\) --- first 2 hours

\(t = 3; s = (3x -5)\) --- last 3 hours

Required

Distance covered in the first 2 hours

Distance (d) is calculated as:

\(Distance = speed * time\)

i.e.

\(d = s * t\)

For the first 2 hours, we have:

\(t = 2; s = (2x +5)\)

So:

\(d = (2x + 5) * 2\)

Open bracket

\(d =2x * 2 + 5 * 2\)

\(d =4x + 10\)

Hence, the distance covered in 4x + 10

Answer:

24 minutes

Step-by-step explanation:

1. Turn it into an equation.

60% of 40

2. Create a proportion.

x/40 = 60/100

3. Cross multiply

40 x 60 = 2400

x x 100 = 100x

4. Divide

2400/100x = 24x

Answer:

₹ 40.50

Step-by-step explanation:

Cost of 20 articles = ₹ 90

Cost of 1 article = ₹ 90/20

Cost of 9 article = 9 x 90/20 = ₹ 40.50

\(\sqrt{25*7x^{4}*x^{1} } \\=\sqrt{25*x^{4}*7 *x^{1} } \\=\sqrt{25x^{4} } *\sqrt{7x}\\=5x^{2} \sqrt{7x}\)

Option B is the answer.

Answer: C

i hope you can see my handwriting

Answer: We can use both formulas to calculate the interest on an investment of $3500 at 2.75% for 3 years.

Using the formula A = P(1+r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate as a decimal, n is the number of times interest is compounded per year, and t is the time in years, we have:

A = 3500(1+0.0275/1)^(1*3) ≈ $3843.84

Therefore, the interest earned is:

Interest = A - P = $3843.84 - $3500 = $343.84

Using the formula A = Pe^(rt), where A is the final amount, P is the principal amount, r is the annual interest rate as a decimal, t is the time in years, and e is the mathematical constant approximately equal to 2.71828, we have:

A = 3500e^(0.0275*3) ≈ $3843.84

Therefore, the interest earned is:

Interest = A - P = $3843.84 - $3500 = $343.84

The interest earned is $343.84 in both cases.

It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors

As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.

In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.

However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.

Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.

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Answer:

\(f^{-1}(x)=\frac{\ln(x+4)}{2}\)

Step-by-step explanation:

\(y=e^{2x}-4\\\\x=e^{2y}-4\\x+4=e^{2y}\\\ln(x+4)=2y\\\frac{\ln(x+4)}{2}=y\\\\f^{-1}(x)=\frac{\ln(x+4)}{2}\)

Just swap x and y in the original function, and then solve for y to get the inverse function.

Answer:  118

Step-by-step explanation:

The two figures' angles are identical so the angles would have the same measurements