please help asap will mark brainliest

Answer:

Adjacent angles of <TQS

= <SQR and <PQT

Two customers at a store bought scarves and gloves. We need to determine the system of equations that can be used to find the price of each scarf (x) and each pair of gloves (y).

Let's assign variables to the unknowns:

x: price of each scarf

y: price of each pair of gloves

From the given information, we can create the following equations:

For the first customer:

1x + 3y = 14     (equation 1)

For the second customer:

2x + 4y = 14 + 8     (equation 2)

Simplifying equation 2:

2x + 4y = 22

Therefore, the system of equations that can be used to find the price of each scarf (x) and each pair of gloves (y) is:

1x + 3y = 14

2x + 4y = 22

Answer: Option D (X+3y = 14, 2x+4y=22)

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Missy rode her bicycle 16 miles in 1 1 4 hours. Her average speed in miles per hour is 12.8 mph

Calculating average speed involves dividing the whole distance traveled by the total time it takes to cover that distance.

Speed is the rate of movement of anything at a specific time. Average speed refers to the average speed during the course of a journey. Typically, average speed refers to the speed of moving objects like cars, trains, and aircraft. It is frequently expressed in kilometers per hour (kph) or miles per hour (mph) (kph).

In many different disciplines, such as physics, astronomy, and transportation, average speed is employed.

As we know,

average speed is distance traveled divided by time taken

⇒ average speed = 16 miles × 5/4

⇒ average speed = 12.8 miles/hour

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Speed = 50 miles per hour

Time = 4 hours

Distance = D

Distance = speed x time

Replacing:

D = 50 mph x 4 h = 200 miles

For a study to allow conclusions about causality, researchers must randomly assign participants to conditions and manipulate the independent variable.

For a study to establish causality, there are several key requirements that researchers must adhere to:

Randomly assign participants to conditions:

Random assignment is crucial to ensure that participants have an equal chance of being assigned to different experimental conditions.

By randomly assigning participants, researchers can minimize the potential confounding effects of individual differences and distribute them evenly across groups.

This helps establish a causal link between the independent variable (manipulated condition) and the dependent variable (outcome).

Manipulate the independent variable:

Researchers must deliberately manipulate the independent variable, which is the factor believed to have a causal effect on the dependent variable.

By manipulating the independent variable and observing the resulting changes in the dependent variable, researchers can infer causality.

The manipulation allows for comparisons between different conditions, enabling researchers to draw conclusions about the causal relationship between variables.

Gather a random sample of participants:

It is important to collect a random sample of participants from the target population.

Random sampling helps ensure that the sample is representative of the larger population, increasing the generalizability of the study's findings.

A random sample reduces the risk of sampling bias, where the characteristics of the sample deviate significantly from those of the population.

Control extraneous variables:

To establish causality, researchers must control for extraneous variables, factors other than the independent variable that could influence the dependent variable.

This can be achieved through techniques like random assignment, matching participants on relevant characteristics, or using statistical methods such as regression analysis to account for these variables.

It is worth noting that making sure participants are all of the same socio-economic status is not a requirement for establishing causality.

In fact, including participants with diverse socio-economic backgrounds can enhance the external validity and generalizability of the study's findings.

The focus should be on minimizing confounding variables and establishing a clear causal relationship between the independent and dependent variables.

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\((4\times 10^{3})-(3.39\times 10^{3})\implies (4000)-(3390) \\\\\\ 610\implies 61\times 10\implies 6.1\times 100\implies {\Large \begin{array}{llll} 6.1\times 10^{2} \end{array}}\)

The length of a side of the hexagon or square is - 16 units

The length of a side of the hexagon or square = x

The perimeter of the square = 4 × lengths of its side

                                               = 4x

The perimeter of the hexagon = 6 × lengths of its side

                                                  = 6x

According to the question,

                                           4x + 32 = 6x

                                       ⇒ 6x - 4x = 32

                                       ⇒  2x = 32

                                       ⇒  x = 16

So, the length of a side of the hexagon or square is - 16 units.

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The data set is approximately symmetric. The data set is not positively skewed. The data set is not negatively skewed. The data set is unimodal. The data set is not bimodal.

(a) The stem-and-leaf display organizes the data in a tabular format. The stems represent the tens digit, and the leaves represent the ones digit. For example, the stem 1 with leaves 2 and 8 represents the values 12 and 18.

(b) To determine if the data set is symmetric, we examine the distribution of values. In this case, the stem-and-leaf display shows that the values are roughly evenly distributed on both sides of the median, indicating symmetry.

(c) Positive skewness occurs when the tail of the distribution is longer on the right side. In this data set, there is no long tail on the right side, suggesting that it is not positively skewed.

(d) Negative skewness occurs when the tail of the distribution is longer on the left side. Since there is no long tail on the left side in this data set, it is not negatively skewed.

(e) A data set is considered unimodal if it has a single peak or mode. In this case, the stem-and-leaf display shows that the value 75 appears three times, making it the mode. Thus, the data set is unimodal.

(f) A data set is considered bimodal if it has two distinct modes. In this data set, although the value 66 appears twice, it is not significantly higher than the surrounding values and does not constitute a separate mode. Therefore, the data set is not bimodal.

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The expected on-order inventory is approximately 80 units (rounded to the nearest integer).

1. Determine the average demand during the lead time:

Since the mean demand per period is 60 and the lead time is 2 periods, the average demand during the lead time is

60 × 2 = 120 units.

2. Determine the standard deviation of the demand during the lead time:

As the demand follows a normal distribution with a standard deviation of 10 per period, the standard deviation during

the lead time (2 periods) is calculated as sqrt(2) × 10 ≈ 14.14 units.

3. Calculate the expected on-order inventory:

Subtract the average demand during the lead time from the order-up-to level. In this case, it's 200 (order-up-to level) -

120 (average demand during lead time) = 80 units.

So, the expected on-order inventory is approximately 80 units (rounded to the nearest integer).

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Answer:

Step-by-step explanation:

(4x-6)/5 = 10

4x-6 = 50

4x = 56

x = 14

Answer:

80 magazines sold

Step-by-step explanation:

120*2/3=80

A valid inference is one that is true about the sample based on the evidence or information available.

It involves making a logical conclusion or deduction that is supported by the data or observations collected from the sample.

In the process of making inferences, we start with a sample, which is a subset of a larger population. The goal is to draw conclusions or make generalizations about the population based on the information gathered from the sample. A valid inference ensures that the conclusions made about the sample are reliable and accurate representations of the population.

To make a valid inference, several key principles must be followed. These include:

Random Sampling: The sample should be randomly selected from the population to ensure that each member of the population has an equal chance of being included. This helps to minimize bias and increase the generalizability of the findings.

Representative Sample: The sample should be representative of the population in terms of its key characteristics and demographics. This ensures that the conclusions drawn from the sample can be applied to the population as a whole.

Adequate Sample Size: The sample size should be large enough to provide sufficient data for analysis. A larger sample size increases the precision and reliability of the inferences made.

Appropriate Statistical Analysis: The data collected from the sample should be analyzed using appropriate statistical techniques to draw valid conclusions. The analysis should take into account the nature of the data, the research question, and any underlying assumption.

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Answer:

4:3

Step-by-step explanation:

Answer:

answer 11/12

hope this helped you

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To achieve an average cost per text message of $0.05 on the monthly cell phone plan, a certain number of additional text messages beyond the first 300 need to be used.

The monthly cell phone plan charges a fixed amount of $5.00 for the first 300 text messages and an additional $0.15 for each extra message. To find the number of text messages needed to achieve an average cost of $0.05 per message, we can set up an equation.

Let's denote the total number of text messages used as "x" (including the first 300 messages). The cost for the first 300 messages is $5.00, and the cost for the additional messages is (x - 300) * $0.15. The total cost is the sum of these two amounts.

To find the average cost per message, we divide the total cost by the number of messages: (5 + 0.15 * (x - 300)) / x = 0.05. By solving this equation, we can determine the value of x, which represents the number of text messages needed to achieve an average cost per message of $0.05.

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To achieve an average cost per text message of $0.05 on the monthly cell phone plan, a certain number of additional text messages beyond the first 300 need to be used.

The monthly cell phone plan charges a fixed amount of $5.00 for the first 300 text messages and an additional $0.15 for each extra message. To find the number of text messages needed to achieve an average cost of $0.05 per message, we can set up an equation.

Let's denote the total number of text messages used as "x" (including the first 300 messages). The cost for the first 300 messages is $5.00, and the cost for the additional messages is (x - 300) * $0.15. The total cost is the sum of these two amounts.

To find the average cost per message, we divide the total cost by the number of messages: (5 + 0.15 * (x - 300)) / x = 0.05. By solving this equation, we can determine the value of x, which represents the number of text messages needed to achieve an average cost per message of $0.05.

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Answer:

x = 15

Step-by-step explanation:

Create and solve an equation of ratios.  We can do this because the smaller triangle and the larger one are similar.

  x          5 + x

------- = -----------

   9         9 + 3

Cross-multiplying, we get 12x = 45 + 9x,

which simplifies to 3x = 45

Solving for x, we get x = 15

Answer:

The slope is just 1.

Step-by-step explanation:

Rise 1, up 1. so 1 over 1 just equals 1

Answer:

m+10 has the solution of 11

Answer:

is there more to this question?

Step-by-step explanation:

Answer:2

Step-by-step explanation:15 divided by 3 is 5 so you would do 2/3 times 3 which is 2

Answer:

Dos!

Step-by-step explanation:

The correct cross product is [-10, -22, 30], and a point of intersection on the line is P(1, 1, 0).

To find the equation of the line of intersection of the planes, we need to determine the direction vector of the line and a point that lies on the line.

Given the equations of the planes:

2x + 5y + 7z = 7

-2x + 10y + 8z = 8

To find the direction vector, we can take the cross product of the normal vectors of the planes. The normal vectors of the planes are coefficients of x, y, and z in each equation.

Normal vector of Plane 1: (2, 5, 7)

Normal vector of Plane 2: (-2, 10, 8)

Taking the cross product of these vectors:

N = (2, 5, 7) × (-2, 10, 8)

N = [(5 * 8) - (7 * 10), (7 * -2) - (2 * 8), (2 * 10) - (5 * -2)]

= [-10, -22, 30]

The direction vector of the line is D = [-10, -22, 30].

To find a point on the line, we can substitute one of the variables with a known value and solve for the remaining variables.

Let's choose z = 0:

2x + 5y + 7(0) = 7

2x + 5y = 7

Solving this equation, we can choose x = 1 and solve for y:

2(1) + 5y = 7

2 + 5y = 7

5y = 5

y = 1

o, a point on the line of intersection is P(1, 1, 0).

Therefore, the equation of the line of intersection of the planes is:

x = 1 - 10t

y = 1 - 22t

z = 30t

where t is a parameter representing the position along the line.

The line can be represented parametrically as:

L(t) = (1 - 10t, 1 - 22t, 30t)

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Answer: 48ft

Step-by-step explanation:

multiply the 12 and the 4...

Answer:

12 times 4

Step-by-step explanation:

The length of the segment AB is 3.5 cm  

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

We have segments ratio as shown:

BC/AB = CD/ED

=> (AC - AB)/AB = (EC - ED)/ED

=> (14-AB)/AB = (84-21)/21 = 3

    Let AB=x

=>  (14-x)/x = 3

=> 14-x = 3x

=> 14 = 3x+x = 4x

=> 14/4 = x

=> x=3.5 cm

AB=x = 3.5 cm  

The length of the segment AB is 3.5 cm  

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\(\\ \rm\longmapsto 1/2(10x+20y+10z)\)

\(\\ \rm\longmapsto 10x/2+20y/2+10z/2\)

\(\\ \rm\longmapsto 5x+10y+5z\)

Answer:

5x+10y+5z

Step-by-step explanation: it was on khan academy and it was right  

Answer:

Quotient: x^(2)-6

Reminder: 7

Step-by-step explanation:

See the attached image.

The Polynomial form of F(x) / d(x)  is  (x - 6) + 7 / (x - 6).

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

F(x) = x² - 12x +43

d(x) = x - 6

Then,

F(x) / d(x) =  x² - 12x +43 / x - 6

Factorize the numerator,

F(x) / d(x) = [(x - 6) (x - 6) + 7] / (x - 6)

F(x) / d(x) = (x - 6) (x - 6) / (x - 6) + 7 / (x - 6)

F(x) / d(x) = (x - 6) + 7 / (x - 6),

Therefore, the Polynomial form of F(x) / d(x)  is  (x - 6) + 7 / (x - 6).

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16. The equatiοn οf the line in slοpe-intercept fοrm that passes thrοugh the pοint (-6, 5) and is parallel tο x + 2y = 14 is y = (-1/2)x + 2.

The equatiοn οf a straight line is y = mx + c, y = m x + c m is the gradient and c is the height at which the line crοsses the y -axis, alsο knοwn as the y -intercept.

16. Tο write the equatiοn οf a line in slοpe-intercept fοrm, we need tο find the slοpe and the y-intercept οf the line.

Tο find the slοpe οf the line, we can rewrite the equatiοn x + 2y = 14 in slοpe-intercept fοrm y = mx + b by sοlving fοr y:

x + 2y = 14

2y = -x + 14

y = (-1/2)x + 7

The slοpe οf the line is -1/2.

Since the line we want tο find is parallel tο this line, it will have the same slοpe οf -1/2.

Nοw we can use the pοint-slοpe fοrm οf the equatiοn οf a line tο find the equatiοn οf the line that passes thrοugh the pοint (-6, 5) with a slοpe οf -1/2:

y - y1 = m(x - x1)

where (x1, y1) is the pοint (-6, 5), and m is the slοpe, -1/2.

y - 5 = (-1/2)(x - (-6))

y - 5 = (-1/2)x - 3

y = (-1/2)x + 2

17. The equation perpendicular to y = -(2/3)x + 4, passing through (-4, 6)

perpendicular equations slope would be negative reciprocal to the current line.

The slope in y = -(2/3)x + 4, is m = -(2/3),

The negative reciprocal of -(2/3) is 3/2

Now, applying the x and y values in pοint-slοpe fοrm

y - 6 = 3/2(x - (-4))

y =  3/2(x+4) + 6

y =  (3/2)x + 6 + 6

y =  (3/2)x + 12

18. Since the line we want tο find is parallel tο this line, it will have the same slοpe.

Lets find the slope using slope formula

\(\rm m = \dfrac{y_2 - y_1}{x_2 - x_1}\)

\(\rm m = \dfrac{0 - (-1)}{2 - (-1)}\)

\(\rm m = \dfrac{1}{3}\)

Now, using the point slope form

y - 1 = 1/3(x - 3)

y = 1/3(x - 3) + 1

y = (1/3)x - 1 + 1

y = (1/3)x

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The coefficient of a¹⁷b²³ in the expansion of (3a−7b)⁴⁰ is 5,727,000,416,289,510,400.

To find this coefficient, we will use the binomial theorem. According to the theorem, the coefficient of a¹⁷b²³ in the expansion of (3a−7b)⁴⁰ is given by the expression: C(40, 23) × (3a)¹⁷ × (−7b)²³, where C(40, 23) is the number of ways to choose 23 objects out of 40. This can be calculated using the formula: C(40, 23) = 40! / (23! × 17!)

Substituting the values, we get:

C(40, 23) = 40! / (23! × 17!)

= (40 × 39 × 38 × ... × 18 × 17!) / (23 × 22 × ... × 2 × 1)

= 5,717,078,887

Therefore, the coefficient of a¹⁷b²³ in the expansion of (3a−7b)⁴⁰ is:

5,717,078,887 × (3a)¹⁷ × (−7b)²³

= 5,727,000,416,289,510,400

Hence, the answer is 5,727,000,416,289,510,400.

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