Find the length of LM to the nearest tenth of a foot

Answer:

Total purchase price = 600 * 34.50 Total purchase price = $20,700 c. To find the total selling price for the 600 shares, we can multiply the number of shares by the final price per share. Total selling price = 600 * 38.64 Total selling price = $23,184 d.

Answer:

m = 5

Step-by-step explanation:

Given

\(\frac{m-2}{6}\) = \(\frac{1}{2}\) ( multiply both sides by 6 to clear the fraction )

m - 2 = 3 ( add 2 to both sides )

m = 5

Answer:

Step-by-step explanation:

\(eq. ~of~line~through~(x_{1},y_{1}) ~with~slope~m~is\\y-y_{1}=m(x-x_{1})\\x_{1}=-2\\y_{1}=9\\point~ is ~ (-2,9)\)

Answer:

I think it would be 2,8

Step-by-step explanation:

hope it helps u

25% off means the new price of the item is 75% of the originl price ( 100% - 25% = 75%)

Multiply the original price by 75%:

20 x 0.75 = 15

The sale price is £15

S.P:25x/100

0.25x=20

x=20/0.25

x=80

The option that indicates the limit notation showing the horizontal asymptote of the graph is the option B;

B. \(lim_{x\rightarrow \infty}f(x)\)

An asymptote is a line which as the input or output variables of a graph approaches infinity, it approaches the curve of the graph. The asymptote and the curve of the graph do not meet within a finite distance.

The horizontal asymptote is the line with equation y = b. The graph of the function approaches the horizontal asymptote as the x-value increases to +∞ or -∞

The value to which the function of the graph approaches as the value of x approaches +∞ or -∞ is the line y = 0, the function that indicates the horizontal asymptote is therefore;

\(\lim_{x\rightarrow \infty}f(x)\)

The correct option is option B

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Answer:

1/60

Step-by-step explanation:

convert 2 hours into minutes = 120 minutes

simplify 20/120

1/60

We know that,

\({ \longrightarrow \bf \qquad \: {(a + b)}^{2} = {a}^{2} + 2.a.b + {b}^{2} }\)

Solution :

\({ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + 9 }\)

We can also write it as,

\({ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + {3}^{2} }\)

Now, using the formula, we'll solve the expression.

\({ \longrightarrow \sf \qquad \: {2x}^{2} + 2.2x.3 + {3}^{2} }\)

\({ \longrightarrow \sf \qquad \: (2x + 3)^{2} }\)

Since,

Therefore,

The top 25 percent, a data point would need to have a z score greater than 0.67.

A z score is a measure of how many standard deviations a data point is from the mean of a data set.

To determine the minimum z score, we first need to find the mean and standard deviation of the data set. The mean represents the center of the data and the standard deviation tells us how spread out the data is.

If a data point has a z score greater than 0, it is above the mean and considered in the top half of the data set.

To be in the top 25 percent, the data point would need to have a z score greater than the value that separates the top 75 percent from the bottom 25 percent.

This value can be found using a table of standard normal distributions or using software that calculates z scores.

In a standard normal distribution, the value that separates the top 75 percent from the bottom 25 percent is about 0.67.

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Answer:

       Age                               Frequency                   Cumulative Frequency

 Less than 30                             27                                       27

 Less than 40                             37                                27 + 37  =  64

 Less than 50                              1 1                                 64 + 11   =  75

 Less than 60                               3                                  75 + 2   =  77

 Less than 70                               5                                   77 + 5   =  82

 Less than 80                               1                                     82 + 1  =  83

 Less than 90                              2                                    83 +2  =  85

Step-by-step explanation:

Given:

The Frequency Distribution table of ages of best actresses when award was won

To find:

Construct the cumulative frequency distribution

Solution:

In order to construct cumulative frequency distribution for the given data, each frequency from above table is added to the sum of the previous frequencies. For example, frequency for Less than 40  is 37 and the previous frequency (less than 30) is 27 so in order to calculate cumulative frequency 27 i.e. previous frequency is added to 37 (frequency of less than 30). The complete table is given above.

The value that is part of the solution to the trigonometric inequality on the first lap of the trigonometric circle are given as follows:

x = 2pi/3.

The trigonometric inequality in this problem is defined as follows:

sec(2x) < -1.

The secant of an angle is defined as follows:

sec(x) = 1/cos(x).

Hence:

sec(2x) = 1/cos(2x).

Thus:

sec(2x) < -1.

1/cos(2x) < -1

1 < -cos(2x)

cos(2x) < -1

2x < arccos(-1)

x < arccos(-1)/2

x < 90º.

Meaning that the answer is composed by the angles x for which 2x is either on the second quadrant or in the third quadrant, in which the cosine is negative.

The values are given as follows:

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Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

10.10 15.15

Step-by-step explanation:

25.30 15.12 25.13

Linear regression forecasting is an algorithm used for identifying and predicting the future values of a dependent variable based on the independent variable.

The major restriction in linear regression forecasting is that it only takes into account the linear relationship between the dependent and independent variables.

The model assumes that the relationship between the dependent and independent variable is linear and not nonlinear. This assumption may not always be true because there might be cases where the relationship between the variables is non-linear, which can result in inaccuracies in the forecast.

The model's reliability is also based on the quality of the data used for regression analysis. If the data is incorrect, outdated, or incomplete, the accuracy of the model can be negatively affected. Another limitation is that the model assumes that the relationship between the dependent and independent variables is constant over time, which may not be true in the real world.

Also, linear regression is a parametric method that requires certain assumptions about the data, including the normality of the residuals and constant variance of the errors.Linear regression forecasts require data to be independent and unbiased and may not work well if data contains outliers or noise.

Linear regression cannot identify causality or differentiate between correlation and causality. Hence, it is recommended to use linear regression along with other techniques for better accuracy.

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Answer:

  32.7 cm

Step-by-step explanation:

For central angle θ in radians, the arc length is given by ...

  s = rθ

The angle between 12 and 5 is 5π/6 radians, and the radius is 25/2 cm, so the arc length is ...

  s = (25/2 cm)(5π/6) = (125/12)π cm ≈ 32.7 cm

The arc length between the markings is about 32.7 cm.

The rotational kinetic energy of the flywheel is  572,819 J.

The flywheel you described has a radius of 1.58 m and a mass of 91.6 kg. It is spinning counterclockwise at 477 rpm. This means it has a certain amount of rotational kinetic energy, which is proportional to both its mass and its speed of rotation. The formula for rotational kinetic energy is 1/2*I*w^2, where I is the moment of inertia (a measure of how spread out the mass is in the object) and w is the angular velocity (the speed of rotation in radians per second).

To find the moment of inertia of the disk, we can use the formula I = 1/2*m*r^2, where m is the mass and r is the radius. Plugging in the values given, we get I = 1/2*91.6 kg*(1.58 m)^2 = 228.6 kg*m^2.

To convert the rotational speed from rpm to radians per second, we need to multiply by 2*pi/60. So, w = 477 rpm * 2*pi/60 = 50.04 rad/s.

Using these values, we can calculate the rotational kinetic energy of the flywheel as 1/2*(228.6 kg*m^2)*(50.04 rad/s)^2 = 572,819 J.

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An expression that correctly represents the cost for a customer for the apple that Sam buys from an orchard in Tennessee at a 30% discount and sells at 3 times the amount paid is 2.1x.

An expression is a mathematical statement that combines variables, values, constants, and numbers with mathematical operands but without the equal sign (=), unlike an equation.

The discount from the orchard = 30%

Let the cost of an apple = x

The discounted cost of an apple = x - 30%

= 0.7x

The selling price per apple = 3 x 0.7x = 2.1x

Thus, the selling price of the apple can be algebraically expressed as 2.1x.

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the solution w = -36 is correct

The given equation is w/4 + 16 = 7.The main objective here is to solve for the variable w. Let us see the step-by-step process to solve for w:

Step 1: Simplify the left side of the equation by subtracting 16 from both sides. w/4 + 16 = 7 ⇒ w/4 = -9The justification for subtracting 16 from both sides is the additive inverse property of equality, which states that if a = b, then a - c = b - c for any real number c.

Step 2: Multiply both sides of the equation by 4 to isolate w. w/4 = -9 ⇒ (4)(w/4) = (4)(-9) ⇒ w = -36The justification for multiplying both sides of the equation by 4 is the multiplication property of equality, which states that if a = b, then ac = bc for any real number c.

Step 3: Check the solution. Substitute -36 for w in the original equation to make sure it satisfies the equation. w/4 + 16 = 7 ⇒ (-36)/4 + 16 = 7 ⇒ -9 + 16 = 7 ⇒ 7 = 7Since 7 = 7 is a true statement, . The justification for this step is that it ensures that the solution obtained in the previous step is valid.

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The function that is undefined for x=0 is y=√x+2.

The functions y=³√x-2 and y=√x-2 are defined for all real numbers

since the only restriction would be taking the square root or cube root of a negative number, but in these functions, x-2 is always non-negative.

On the other hand, the function y=√x+2 is undefined for x=-2,

since the expression inside the square root would be negative.

Therefore, the function that is undefined for x=0 is y=√x+2.

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The equation that represents the linear relationship between x-values and the y -values in the table is y = 6x - 5.

Linear equation can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the slope of the line.

Hence, using (-1, -11) and (1, 1)

slope = m = 1 + 11 / 1 + 1

slope = 12 / 2

slope = 6

Therefore, let's find the y-intercept of the equation using (1, 1)

y =  6x + b

1 = 6(1) + b

1 = 6 + b

b = 1 - 6

b = -5

Therefore, the equation of the table is y = 6x - 5.

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Answer:

and wheres the box plot?

Derek's dad should invest $42,484.41 in a savings account today to be able to pay for his son's rent for the next six years.

In order to calculate the investment that Derek's dad should make in a savings account, we need to take into account the future value of his rent payments, the monthly payments, and the interest rate he will earn on his savings account. Since the rent is payable monthly, we must find the future value of the 72 payments he will make (12 months * 6 years) at the end of six years.

For this, we can use the future value formula for an annuity, which is as follows:

FV = PMT × [((1 + i)n - 1) / i]

Where:FV = future valuePM,T = monthly payment,i = interest rate,n = number of payments

We can plug in the values given in the problem to get:

FV = 500 × [((1 + 0.0249/12)72 - 1) / (0.0249/12)]

FV = 500 × [((1.00207)72 - 1) / 0.00207]

FV = $42,484.41

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Answer:

orthocentre

Step-by-step explanation:

this is the answer to your question

Answer:

in the proprety of the number of negs and postive and y the graph -23+y=8 being that the nuber is -15

Answer:

14

Step-by-step explanation:

I attached a picture and I hope this helps ;) ❤❤❤

Answer:

The third number is 14

Step-by-step explanation:

To find the average of 3 numbers add the three numbers and divide by 3

Let x be the third number

( 45+16+x) /3 = 25

Multiply each side by 3

( 45+16+x) /3 *3 = 25*3

( 45+16+x) = 75

Combine like terms

61+x = 75

Subtract 61 from each side

61+x-61 = 75-61

x = 14

 The sample we collect plays a cruciThe sample we collect can significantly affect our understanding of a population,

especially when it comes to making generalizations or drawing conclusions about the entire population based on the sample data. The key aspect in this regard is whether the sample is representative of the population.

A representative sample is one that accurately reflects the characteristics, diversity, and distribution of the population from which it is drawn. When our sample is representative, we can have greater confidence in generalizing the findings from the sample to the larger population. However, if our sample is not representative, our understanding of the population may be biased or limited.

In the provided example, the given data represents different age groups and their reported time spent with friends per day. If we were to collect a sample from this population, it would be crucial to ensure that the sample includes individuals from each age group in proportion to their representation in the population. This would help ensure that our sample accurately reflects the age distribution of the population.

If our sample is not representative, it may lead to inaccurate conclusions. For instance, if we only surveyed individuals from the age group 55-64 and ignored the other age groups, our understanding of the population's time spent with friends would be limited to that specific age group. We wouldn't be able to generalize our findings to the entire population because we would have missed important variations in behavior across other age groups.

To improve the representativeness of our sample, we could use random sampling techniques, such as simple random sampling or stratified sampling, to ensure that individuals from all age groups are included in the sample. By doing so, we can enhance our understanding of the population as a whole and make more accurate inferences.

In conclusion, the sample we collect plays a crucial role in shaping our understanding of a population. A representative sample enables us to make valid generalizations and draw reliable conclusions about the entire population. It ensures that the characteristics and diversity of the population are properly reflected in the sample, allowing for more accurate insights and informed decision-making.al role in shaping our understanding of a population

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50

Step-by-step solution:

    0.3x-42=0.1x-32

    -0.1x

    0.2x-42=-32

                   +42

      0.2x=10

               0.2                

        x=50

The given histogram is right skewed type.

A histogram is a graphic representation of data in a grouped frequency distribution with continuous classes.

They are similar to a bar graphs, but there are no gaps between the consecutive rectangles.

Histograms are widely used for ranging data into groups. It is a highly practical graph due to its clarity and simplicity.

Histogram :-

It is a collection of rectangles next to one another, where each bar represents a different type of data.

In this context, frequency refers to the number of times a number appears in statistical data.

It is known as a frequency distribution when shown in a table.

Here, the distribution here is skewed to the left. Therefore, it is also referred to as a negatively skewed histogram graph.

Hence, the given histogram is right skewed type.

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The equation of the parabola in standard form is f(x) = -(x - 3)² + 25

the vertex of the parabola is given as (3, 25), we know that the equation of the parabola can be written in vertex form as:

f(x) = a(x - 3)² + 25

where a is a constant that determines the shape of the parabola.

The point (6, 16) lies on the parabola

so we can substitute x = 6 and y = 16 into the equation above to find 'a'.

16 = a(6 - 3)² + 25

-9 = 9a

Dividing both sides by 9, we get:

a = -1

Now we know that the equation of the parabola is:

f(x) = -(x - 3)² + 25

Hence, the equation of the parabola in standard form is f(x) = -(x - 3)² + 25

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