Rewrite the expression by factoring out (w+3).
7w2(w+3)-3(w+3)

The correct answer to this question is the point (0, 39).

The equation of a line can be expressed in the slope-intercept form of a line, which is y = mx + b.

Here, the line is represented by y - 4 = -5(x - 7).

So, let's convert this equation to slope-intercept form: y - 4 = -5x + 35y = -5x + 39

Comparing it with the slope-intercept form, we can say that the slope of this line is -5 and the y-intercept is 39.

Thus, the line passes through the point (0, 39) and has a slope of -5.

Now, let's consider the equation of this line: y = -5x + 39

We can plug in different values of x and find the corresponding values of y to get different points on this line.

For example, when x = 0, we get: y = -5(0) + 39y = 39

So, the point (0, 39) is located on the line represented by the equation y - 4 = -5(x - 7).

Therefore, the answer to this question is the point (0, 39).

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The area under the curve is \(\frac{6 \sqrt{3}}{5}\).

Consider the following parametric equations:\($$x=t^2-3 t \text { and } y=\sqrt{t} \text { and the } y \text {-axis. }$$\)

The objective is to find area enclosed by the curve using the formula.

The area under the curve is given by parametric equations x=f(t), y=g(t),  and is traversed once as t increases from α to β, then the formula for calculating the area under the curve:

\($$A=\int_\alpha^\beta g(t) f^{\prime}(t) d t$$\)

The curve has intersects with y-axis. so x=0

\($$\begin{aligned}t^2-3 t & =0 \\t(t-3) & =0 \\t & =0 \text { or } t=3\end{aligned}$$\)

Now we have to draw the graph,

Let f(t)=\(t^2-3 t, g(t)=\sqrt{t}$\)

Differentiate the curve f(t) with respect to t.

\(f^{\prime}(t)=2 t-3\)

Now, find the area under the curve use the above formula.

\(\begin{aligned}A & =\int_0^3(\sqrt{t})(2 t-3) d t \\& =\int_0^3(2 t \sqrt{t}-3 \sqrt{t}) d t \\& =\int_0^3\left(2 t^{\frac{3}{2}}-3 t^{\frac{1}{2}}\right) d t \\& =\left[2 \frac{t^{\frac{5}{2}}}{\frac{5}{2}}-3 \frac{t^{\frac{3}{2}}}{\frac{3}{2}}\right]_0^3 \\& \left.\left.=\left[\frac{4 t^{\frac{5}{2}}}{5}-2 t^{\frac{3}{2}}\right]_0^3\right]^{\frac{5}{2}}\right] \\\\\end{aligned}$$\)

\(& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right]\)

\($\begin{aligned}& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right] \\& =\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}-0 \\& =\frac{6 \sqrt{3}}{5}\end{aligned}\)

Therefore,  the area of the curve is \(\frac{6 \sqrt{3}}{5}\).

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Answer: Recommend asking the experts :)

Step-by-step explanation:

I am a middle school student. 7th grade. wow I did good on my state test. my favorite color is green.

Answer: -0.58

Divide 5.8 y 100 y te da 0.058 despues lo multiplicas con (-10) y te da -0.58

Answer:

Correct

Step-by-step explanation:

The number of classrooms cleaned in 75 minutes is given by the proportion A = 10 classrooms

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The number of classrooms cleaned in 15 minutes = 2

The number of classrooms cleaned in 75 minutes = A

So , the proportion is

2 / 15 = A / 75

Multiply by 75 on both sides , we get

A = ( 2/15 ) ( 75 )

A = 2 x 5

A = 10 classrooms

Hence , the proportion is A = 10 classrooms

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The area of the polygon is 341.1

We need to find first the base of the triangle

using Pythagorean theorem, a^2+b^2 = c^2

we have the base of 4.18

since the polygon is symmetric and regular, we have 16 same triangles within the polygon

using the area of the triangle multiply by 16 we can get 341.1

The required we can reject the null hypothesis and accept the alternative hypothesis.

Based on the given p-value of 0.045 and a significance level of 0.05 (or 5%), we can draw the following conclusion:

Since the p-value (0.045) is less than the significance level (0.05), we have evidence to reject the null hypothesis. In other words, there is sufficient statistical evidence to conclude that there are significant differences among the groups being compared in the ANOVA F test.

Therefore, we can reject the null hypothesis and accept the alternative hypothesis, indicating that there are statistically significant differences between at least two of the groups being compared.

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A histogram is a column chart that displays the frequency of occurrence on the vertical axis.

In a histogram, the horizontal axis represents the range or categories of data, and the vertical axis represents the frequency or count of data falling within each range or category. The height of each column in the histogram corresponds to the frequency or count of data in that particular range or category.

Histograms are commonly used to visualize the distribution of numerical data and provide insights into the shape, center, and spread of the data. They are particularly useful in identifying patterns, outliers, and understanding the overall distributional characteristics of a dataset.

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Brace's boat is 225 feet from the bottom of the lighthouse.

What do you mean by trignoemtry?

Trigonometry (“triangles” and “measures”) is the branch of mathematics that studies the relationship between the side lengths and angles of triangles.

Trigonometry is one of the important branches in the history of mathematics that studies the relationship between the sides and angles of right triangles.

Trigonometric ratios of triangles are also called trigonometric functions. Sine, cosine, and tangent are three important trigonometric functions, abbreviated sin, cos, and tan.

It is given that Dontaya is at the top of a lighthouse which is 250 feet above sea level. From the top, the measure of the angle of depression to Brace's boat on the water is 48 degrees

Let Brace's boat is x feet from the bottom of the lighthouse.

Using trignometric ratios,

tan 48 = \(\frac{P}{B}=\frac{250}{x}\)

1.11 = \(\frac{250}{x}\)

x = \(\frac{250}{1.11} = 225.23\) ≈ 225 feet

Therefore, Brace's boat is 225 feet from the bottom of the lighthouse.

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The cost of s and 20 songs are $1.25s and $25 respectively.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that music services cost $6 per month to Nachelle.

And to download songs for offline listening, the service charges $1.25 per song.

If she wants to download s songs,

The cost of s songs = the cost of one song multiplied by s

The cost of s songs =$1.25 multiplied by s

The cost of s songs = $1.25s

Here s = 20 then

cost of 20 songs = $1.25 x 20

                           = $25

Therefore the cost of s and 20 songs are $1.25s and $25 respectively.

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A larger sample size will result in a more reliable estimate of the population mean, lowering the variability and resulting in a higher F-ratio, which will result in the null hypothesis being rejected. As a result, both options A and B are correct.

Here we want to find,

the likelihood of rejecting the null hypothesis using anova is increased by which.

To increase the likelihood of rejecting the null hypothesis using ANOVA, a decrease in SSWITHIN and an increase in sample sizes are needed.

In statistics, analysis of variance (ANOVA) is a technique for comparing the means of two or more samples. ANOVA is an extension of the t-test and z-test methods, which can be used to compare only two means.

ANOVA compares the variation within the groups to the variation between the groups to see whether or not there is a statistically significant difference between them.

The null hypothesis (\(H_0\)) in ANOVA is that the means of all groups are equal, while the alternative hypothesis (Ha) is that at least one group's mean is different from the others.

In ANOVA, a low value of SSWITHIN is desirable because it reflects that the data points are clustered around their respective means.

As a result, ANOVA will result in a higher F-ratio, which means that the null hypothesis will be rejected.

So, both a and b options are correct.

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Answer:

1. 64.4kg

2. 490.5g

3. 34.4cm

4. 503.25

Step-by-step explanation:

1. 56+(56×15/100)

2. 436+(436×12.5/100)

3. 43-(43×20/100)

4. 550-(550×8.5/100)

The 189 yards equal to 567 feet.

\(\frac{189 yd}{1} *\frac{3 ft}{1 yd} = 567 ft\).

What is dimension?

The power to which the fundamental quantities are raised in order to express a physical quantity is known as its dimension. The symbols [M], [L] and [T] respectively stand for mass, length, and time.

The minimal number of coordinates required to specify any point within a mathematical space (or object) is known as the dimension in physics and mathematics.

Given:

A runner sprinted for 189 yards (yd).

We have to convert this yards into feet.

Ratio between yard and feet is 1yd/3 ft.

⇒  1 yard = 3 feet

189 yards = 567 feet.

Hence, the 189 yards equal to 567 feet.

\(\frac{189 yd}{1} *\frac{3 ft}{1 yd} = 567 ft\)

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Each text will cost Hassan $0.09

A rate is a special ratio in which the two terms are in different units. It can also be defined as the amount of money that is charged for goods or services. For example, if a 12 malt can of costs 69¢, the rate is 69¢ for 12 malt. Then 1 malt will cost ¢69/12.

Similarly $5.31 is the cost of 59 text messages

Therefore a text message will cost $5.31/12=$0.09

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Answer:

x = 9

Step-by-step explanation:

\(2x + 3 = 3x - 6\)

\(3 = x - 6\)

\(x = 9\)

Answer:

There are 3 counters in each circle, so the quotient is 3. There are 6 counters left over, so the remainder is 6.

Step-by-step explanation:

Answer:

B = x = 44 degrees

Step-by-step explanation:

Interior angles of a triangle = 180 degrees.

There are 2 congruent sides so the angle to the right of 67 degrees is also 67 degrees

180 - 2(67) = 46 degrees (the third angle of the triangle)

x + 46 degrees = 90 degrees ( complementary angles)

x = 44 degrees

Answer:

If you wanted to know how much songs Maxwell will have to play to pay the fee to play there, ($50 dollars)  he will have to play 5 songs.

Step-by-step explanation:

The question to the awnser is how much can 10 go into 50. That means you have to divide 50 by 10. You can put 10 5 times into 50, and you can make sure of that by timing 10 by 5. I have no idea though what you need. Sorry if im saying somthing different than wht you want.

The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t

Give, a lump sum of $2000 is invested at 4.2% compounded continuously.

Hence we have:

P = $2000

rate of interest = 4.2%

years = t

we know that A = Pe^rt

Substitute the above values in the formula.

Amount = f(t)

f(t) = 2000.e⁰·°⁴²t

hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t

Therefore we get the required function.

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True.The range is a measure of dispersion that represents the difference between the highest and lowest scores in a dataset. In this case, the highest score is 9 and the lowest score is 2, so the range is simply 9-2=7.

It is important to note that the range only considers the extreme values in the dataset and does not take into account the distribution of the scores. Therefore, it should be used in conjunction with other measures of dispersion, such as the standard deviation, to fully understand the variability of the dataset.the range refers to the difference between the largest and smallest values in a set of data. It is a measure of dispersion that helps to provide an idea of how much variation exists in the dataset. To calculate the range, one simply subtracts the smallest value from the largest value

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Answer:

20

Step-by-step explanation:

Vertical angles are equal to each other

x = -3x + 80

x + 3x = 80

4x = 80 divide both sides by 4

x = 20

Answer:

m

Step-by-step explanation:

the slope or growth rate of the function is the coefficient of the variable x, which is m in this case

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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(a) The sampling distribution of p-hat1 - p-hat2 can be approximated by a normal distribution. According to the Central Limit Theorem, when the sample sizes are large enough , the sampling distribution of the difference in sample proportions will be approximately normal, regardless of the shape of the population distributions. Therefore, the shape of the sampling distribution of p-hat1 - p-hat2 is approximately normal.

(b) The mean of the sampling distribution of p-hat1 - p-hat2 can be calculated as:

mean = p1 - p2

where p1 is the population proportion of orange M&M's milk chocolate candies and p2 is the population proportion of orange peanut M&M's.

mean = 0.20 - 0.23 = -0.03

The standard deviation of the sampling distribution of p-hat1 - p-hat2 can be calculated using the formula:

standard deviation = sqrt((p1(1 - p1) / n1) + (p2(1 - p2) / n2))

For M&M's milk chocolate candies:

p1 = 0.20 (proportion of orange M&M's milk chocolate candies)

n1 = 240 (sample size of M&M's milk chocolate candies)

For peanut M&M's:

p2 = 0.23 (proportion of orange peanut M&M's)

n2 = 240 (sample size of peanut M&M's)

standard deviation = sqrt((0.20(1 - 0.20) / 240) + (0.23(1 - 0.23) / 240))

(c) To find P(p-hat1 - p-hat2 > 0), we need to calculate the probability that the difference in sample proportions is greater than zero. This can be interpreted as the probability of observing a greater proportion of orange M&M's milk chocolate candies than orange peanut M&M's.

To calculate this probability, we need to standardize the sampling distribution using the mean and standard deviation calculated in part (b) and then find the area under the normal curve to the right of zero.

Let Z be the standard normal variable.

Z = (p-hat1 - p-hat2 - mean) / standard deviation

Z = (0 - (-0.03)) / standard deviation

Using the calculated mean and standard deviation, we can find the corresponding Z-score and then find the area to the right of zero using a standard normal table or calculator. This area represents P(p-hat1 - p-hat2 > 0), the probability of observing a greater proportion of orange M&M's milk chocolate candies than orange peanut M&M's.

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There are 9240 ways to select a committee to develop a discrete math course if the committee is to consist of three faculty from the math department and four from the computer science department.

It is given that there are 9 faculty members in the math department and 11 in the computer science department.

\(C^{9} _{3} * C^{11} _{4}\)

\(= \frac{9!}{(9-3)!3!} * \frac{11!}{(11-4)!4!}\\= 28 * 330\\= 9240\)

Therefore, there are 9240 ways to select the committee.

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There are 210 ways to choose a president, vice president, and treasurer for a 7-member club, with no person holding more than one office. Each position can be filled by a different member, resulting in 210 unique combinations.

To determine the number of ways to choose the three positions, we can use the concept of permutations. The president can be selected from the 7 members in 7 different ways. Once the president is chosen, there are 6 remaining members to choose from for the position of vice president. Therefore, there are 6 choices for the vice president. Finally, the treasurer can be chosen from the remaining 5 members.

To calculate the total number of ways, we multiply the number of choices for each position:

7 * 6 * 5 = 210.

Hence, there are 210 ways to choose a president, vice president, and treasurer from a 7-member club, with the condition that no person can hold more than one office.

In summary, the answer is that there are 210 ways to select the president, vice president, and treasurer for the 7-member club, with each member occupying only one position.

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Answer:

x - 6 < 2x + 2

-8 < x, so x > -8

x = -1 and x = -5 are solutions to this inequality.