Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Let t be the total cost of going playing golf during the month; therefore,

Since Teegan has no more than $55 to spend.

Furthermore, if x is the number of buckets of balls,

Therefore,

Solving for x,

Thus, the maximum number of times he can go is 5 times.

       We are given the  fixed cost which is the cost of messaging plan for the first 250 text messages and the variable cost which is the cost for each additional text message. From this variable and fixed cost, we will calculate the total messages sent for the month of January.

Total messages sent that month = 431 messages.

A = 7 + 0.2x

Where x is number of extra messages after the first 250.

Thus;

43.2 = 7 + 0.2x

Subtract 7 from both sides to get;

36.2 = 0.2x

x = 36.2/0.2

x = 181 messages

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Answer:

Step-by-step explanation:

What was it

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\( \sqrt{264} = \sqrt{2 \times 11 \times 12} = \sqrt{2 \times 2 \times 2 \times 3 \times 11} = \\ \)

\(2 \sqrt{66} \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

\(2\sqrt{66}\)

Step-by-step explanation:

\(\sqrt{264} =\sqrt{2^{3}11^{1}3^{1}} }=2\sqrt{66}\)

The value of the missing data point is 10. Option C

The data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.

Let's arrange the data set in ascending order:

6, 8, ?, 8, 14, 15, 16, 18

Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.

From the given options, the only whole number that could fit as the fourth value in the data set is 10.

Thus, the value of the missing data point is C. 10.

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The areas of the square are obtained from the square of the lengths,

therefore, each subsequent area is four times the previous area.

The results are;

Reasons:

The given parameters are;

Total length of the wire = 8184 cm.

Number of squares formed = 10 squares

The length of a square = 2 × The length of the previous square

Length of the first square = x

i) Given that the length of the first square is x, the next square is 2·x, the

following square is 4·x, which gives;

Area of the first square, T₁ = x²

Area of the second square, T₂ = (2·x)² = 4·x²

Area of the third square, T₃ = (4·x)² = 16·x²

\(\dfrac{T_3}{T_2} = \mathbf{ \dfrac{16 \cdot x^2}{4 \cdot x^2}} = 4\)

\(\dfrac{T_2}{T_1} = \mathbf{ \dfrac{4 \cdot x^2}{ x^2}} = 4\)

Therefore;

\(\dfrac{T_3}{T_2} = \dfrac{T_2}{T_1} = 4\)

The common ratio = 4

ii) Given that the side lengths of the squares are a constant multiple of two and the previous square, we have;

The side lengths of the squares form an arithmetic progression having a first term of x, and a common ratio, r = 2

The sum of the first ten terms of the geometric progression is 8184

\(S_n = \dfrac{a \cdot (r^n - 1)}{(r - 1)}\)

Therefore;

The perimeter of the first square, a = 4·x

The length of the first square x = 2 cm.

iii) The length of the largest square, is therefore; a₁₀ = x·r¹⁰⁻¹

Which gives;

a₁₀ = 2  × 2⁹ = 1,024

The area of the largest square is therefore;

T₁₀ = 1,024² = 1,048,576

The area of the largest square is therefore, T₁₀ = 1,048,576 cm²

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The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.

The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. The point-slope form of a line can be converted to the slope-intercept form of a line, y = mx + b, where b is the y-intercept.

The equation y - 5 = (4/3)(x - 6) can be rearranged into the point-slope form of a line by isolating the y-term and simplifying: y - 5 = (4/3)(x - 6)y - 5 = (4/3)x - 8y = (4/3)x - 3

Now, we have the point-slope form of the line with slope 4/3 and y-intercept -3.

To convert this to the slope-intercept form of a line, we simply rearrange the equation to solve for y:y = (4/3)x - 3 This is the slope-intercept form of the line, where the slope is 4/3 and the y-intercept is -3.

Thus, the equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.

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Answer row 2

Step-by-step explanation:

Num

Answer:

( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)(´;︵;`)

Step-by-step explanation:

shoot the ball from his hand an initial height 2 m winh velocity of 10 meters pwler second ,the height ofthe ball can be modeled by the ģuadratic eģuation want tje answer -4.9t2+10t2+2 after t second

Answer:

x = 8 or x = -2

Step-by-step explanation:

x^2 - 6x + 9 = 25

x^2 - 6x - 16 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

with a = 1

b = -6

c = -16

substitute in the formula

x = [-(-6) +/- √(-6^2 - 4(1)(-16))]/2(1)

x = [6 +/- √(36 + 64)]/2

x = [6 +/- √10]/2

x = [6 +/- 10]/2

x1 = [6 + 10]/2 = 16/2 = 8

x2 = [6 - 10]/2 = -4/2 = -2

Answer:

x = 8,-2

Step-by-step explanation:

First, complete the square on LHS (Left-Handed Side).

\(\displaystyle \large{x^2-6x+9=(x-3)^2}\)

Make sure to recall the perfect square formula. Rewrite another equation with (x-3)² instead.

\(\displaystyle \large{(x-3)^2 = 25}\)

Square both sides of equation.

\(\displaystyle \large{\sqrt{(x-3)^2}=\sqrt{25}}\)

Because x² = (-x)² which means that it’s possible for x to be negative. Thus, write plus-minus beside √25 and cancel square of LHS.

\(\displaystyle \large{x-3=\pm \sqrt{25}}\\ \displaystyle \large{x-3=\pm 5}\\ \displaystyle \large{x=\pm 5+3}\)

Therefore, x = 5+3 or x = -5+3

Thus, x = 8,-2

The method above is called completing the square method.

Answer:

Step-by-step explanation:

One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.

One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence

Answer:

-9/14

Step-by-step explanation:

I just used a calculator

The correct expanded form using Laws of exponents is:

Two-thirds times two-thirds times two-thirds times two-thirds

Some of the laws of exponents are:

1) When multiplying like bases, keep the base the same and add the exponents.

2) When raising a base with a power to another power, keep the base the same and multiply the exponents.

3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Now, we want to solve the expression given as: (²/₃)⁴

When we expend this, we arrive at:

²/₃ × ²/₃ × ²/₃ × ²/₃

This among the options is Option A which is:

Two-thirds times two-thirds times two-thirds times two-thirds

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Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Answer:

The answer is the third option

Step-by-step explanation:

When an exponent is raised to the power of another exponent, both exponents are multiplied.
Recall that a number without an exponent is thought to be raised to the power of 1.

So after multiplying the exponents of all of the variables by 4, we are left with a solution identical to the third option.

The quotient is \(2\frac{2}{25}\). The quotient is a mixed number.

What is a fraction bar?

With mathematics, a fraction bar is a visual representation of fractions that aids in fraction comparison and fraction operations. A part-to-whole representational model is fraction bars or fraction strips. Each fraction bar segment represents one unit of a larger whole.

Given that \(2\frac{3}{5}\) divide by \(1\frac{1}{4}\).

The mathematical representation is

  \(2\frac{3}{5}\)  ÷  \(1\frac{1}{4}\)

Convert the mixed fraction to improper fraction:

= (2×5 + 3)/5  ÷ (1×4+1)/4

=(13/5) ÷ (5/4)

To convert the division sign into a multiplication sign, take the reciprocal of 5/4.

= (13/5) × (4/5)   [Reciprocal of 5/4 is 4/5]

= 52/25

If 52 is divided by 25, the quotient is 2 and the remainder is 2.

Convert 52/25 into a mixed fraction:

52/25 =\(2\frac{2}{25}\).

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The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

2w - 2 1/2

Step-by-step explanation:

you need to multiply the faction by each one of the numbers. multiplying them by 1/2 is going to be the same was dividing them by 2

4w (1/2) - 5 (1/2)

2w - 2 1/2

hope this helps!

Answer:

84

Step-by-step explanation:

So,

1% of 1200 = 12

12x7 = 84

Based on the information, we can infer that the correct graph/table is option D.

To identify the correct chart or table, we must identify the information about the data that Emily uses each year. She uses 360GB each year, in this case, to identify the relationship we must divide the amount of data she uses by the number of months she has in a year:

360GB / 12 months = 30 GB/month

In accordance with the above, we must identify the table or graph that represents this relationship. In this case it would be table D because it shows an increasing relationship of 1 month with 30gb, 2 months with 60gb, 3 months with 90gb, 4 months with 120gb, and so on.

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The value of x in the similar triangle is 6 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:

Hence,

5 / 40 = x / 48

48 × 5 = 40x

240 = 40x

divide both sides by 40

x = 240 / 40

x = 6

Therefore,

x = 6

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Answer:

The area of the figure is 7.5 \(units^2\).

Step-by-step explanation:

In order to make the calculation process easier, you can cut the shape into a trapezoid and a triangle. The triangle's base has a length of 3 units and a height of 2 units, so its area is 3 \(units^2\). The top base of the trapezoid has a length of 1 unit, the bottom base of the trapezoid has a length of 2 units, and the trapezoid has a height of 3 units, so the area of the trapezoid is 4.5 units. To find the area of the shape, add the areas of the trapezoid and the triangle together, which is 3 + 4 .5 = 7.5

Answer:

a. one-way within-groups ANOVA

Step-by-step explanation:

Here, the research question meets the conditions required for a one-way within group ANOVA. One way within group anova allows for comparison between the mean of three or more groups or levels of one independent variable on a dependent variable. In the scenario above, the one independent variable is stage of the season with levels : (pre-season, throughout active season and post season) and the dependent variable being the athletes academic performance. It is a within group ANOVA as all subjects are used to test each level of the independent variable. Which is different from between groups where different subjects are assigned to different groups.

Answer:

A math SAT score of 693 is 1.5 standard deviations above the mean

Step-by-step explanation:

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.

Mean µ = 520 and population standard deviation = 115.

This means that \(\mu = 520, \sigma = 115\)

What math SAT score is 1.5 standard deviations above the mean?

This is X when \(Z = 1.5\). So

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

\(1.5 = \frac{X - 520}{115}\)

\(X - 520 = 1.5*115\)

\(X = 693\)

A math SAT score of 693 is 1.5 standard deviations above the mean

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

If m<5 =115 then

m<1 =115

because they are corresponding angles

Heracio used the computer 4 more hours to do homework than shop online.

To find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.

Let's start by calculating the number of hours Heracio spent on each activity:

Shopping: 10% of 40 hours = 4 hours

Videos: 15% of 40 hours = 6 hours

Homework: 20% of 40 hours = 8 hours

Games: 20% of 40 hours = 8 hours

Social media: 25% of 40 hours = 10 hours

Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:

8 hours (homework) - 4 hours (shopping) = 4 hours

Therefore, Heracio used the computer 4 more hours to do homework than shop online.

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