Which graph represents the relationship between the quantities in this situation? Explain how you know​

Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

Answer:

4

Step-by-step explanation:

Answer:

i think its the first one i hope this helps

Step-by-step explanation:

Answer:

c. 25

Step-by-step explanation:

According to the intersecting chords theorem, the product of the segments of a chord equals the product of the segments of the other chord it intercepts.

Thus:

3*x = 5*15

3x = 75

x = 75/3

x = 25

Answer:

B=54

C=54

Step-by-step explanation:

180-72=108

108/2=54

54*2=108

108+72=180

Answer:

455455

Step-by-step explanation:

do diddfdcv

Answer:

y2 - y1 / x2 - x1

Step-by-step explanation:

Answer:

where are the answer choices?

Step-by-step explanation:

The general solution to the differential equation y'' + 16y = 0 is y(x) = (c₁ + c₂) * cos(4x)

To solve the differential equation y'' + 16y = 0 using reduction of order, we'll assume a second solution of the form y₂(x) = u(x) * y₁(x), where y₁(x) is a known solution and u(x) is an unknown function.

Given y₁(x) = cos(4x), we'll differentiate it to find y₁'(x) and y₁''(x):

y₁'(x) = -4sin(4x)

y₁''(x) = -16cos(4x)

Now we substitute y₂(x) = u(x) * y₁(x) into the original differential equation:

y'' + 16y = 0

(-16cos(4x)) + 16(u(x) * cos(4x)) = 0

Simplifying the equation:

-16cos(4x) + 16u(x) * cos(4x) = 0

cos(4x)(-16 + 16u(x)) = 0

For this equation to hold for all values of x, we must have (-16 + 16u(x)) = 0.

Solving for u(x):

-16 + 16u(x) = 0

16u(x) = 16

u(x) = 1

Now we have the second solution:

y₂(x) = u(x) * y₁(x)

y₂(x) = 1 * cos(4x)

y₂(x) = cos(4x)

Therefore, the general solution to the differential equation y'' + 16y = 0 is:

y(x) = c₁ * y₁(x) + c₂ * y₂(x)

y(x) = c₁ * cos(4x) + c₂ * cos(4x)

y(x) = (c₁ + c₂) * cos(4x)

Where c₁ and c₂ are arbitrary constants.

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To solve the equation 2y - z = -6 for y, we isolate the variable y on one side of the equation.

2y - z = -6

Adding z to both sides:

2y = z - 6

Next, we divide both sides by 2 to solve for y:

y = (z - 6)/2

Now we can substitute the given values to find the corresponding y-values for the given ordered pairs:

For (-2, __):

y = (-2 - 6)/2

y = -8/2

y = -4

For (0, __):

y = (0 - 6)/2

y = -6/2

y = -3

For (__, -5):

-5 = (z - 6)/2

-5 * 2 = z - 6

-10 + 6 = z

z = -4

So the ordered pairs are: (-2, -4), (0, -3), and (-4, -5).To draw a line using two of the ordered pairs, we can plot the points (-2, -4) and (0, -3) on a coordinate plane and connect them with a straight line. The line will represent all the possible points that satisfy the equation 2y - z = -6.

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Answer:

It is not possible to determine the percentage of samples that pass without additional information.

9514 1404 393

Answer:

  149.04°

Step-by-step explanation:

You must consider the signs of the components of the vector. The value -5+3i will be in the 2nd quadrant of the complex plane.

When you use the single-argument arctan function, it will tell you the angle is -30.96°, a 4th-quadrant angle. (arctan( ) is only capable of giving you 1st- or 4th-quadrant angles.)

You find the 2nd-quadrant angle by adding 180° to this value:

  -30.96° +180° = 149.04° = arg(-5+3i)

__

The attachments show the calculation using a suitable calculator (1st) and a spreadsheet (2nd). The spreadsheet function ATAN2(x,y) gives the 4-quadrant angle in radians, considering the signs of the two arguments. Here, we converted it to degrees. The calculator can be set to either degrees or radians.

We are given that probability that an airplane flight departs on time is P(D) = 0.82. Probability that a fight arrives on time is P(A) = 0.86. Probability that a fight departs and arrives on time is P(D and A) = 0.82.We are supposed to find the probability that a flight departed on time given that it arrives on time, P(D | A).

We know that P(D | A) = P(D and A) / P(A) Multiplication Rule: P(D and A) = P(D) * P(A | D) Given that both P(D) = 0.82 and P(D and A) = 0.82, we can solve for P(A | D).P(D and A) = P(D) * P(A | D)0.82 = 0.82 * P(A | D)P(A | D) = 0.82/0.82P(A | D) = 1Thus, we haveP(D | A) = P(D and A) / P(A)= 0.82/0.86= 0.95348827≈ 0.953 (rounded to the nearest thousandth)

Therefore the probability that a flight departed on time given that it arrives on time is 0.953 (rounded to the nearest thousandth).

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The probability of no heads is given as follows:

P(No Heads) = 17.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The total number of outcomes is given as follows:

200.

The desired outcomes, those without heads, are Tails, Tails, which happened 35 times, hence the probability is given as follows:

p = 35/200

p = 0.175

p = 17.5%.

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The labor productivity of this manufacturing process in terms of dollars per labor hour is $73.47.

To find the labor productivity of this manufacturing process in terms of dollars per labor hour, we need to calculate the total revenue from the tuxedos and divide it by the total number of labor hours.

Total revenue from tuxedos = 96 tuxedos * $225 per tuxedo

                                               = $21,600

Total number of labor hours = 7 employees * 42 hours per employee

                                               = 294 labor hours

Labor productivity = Total revenue / Total number of labor hours

                               = $21,600 / 294 labor hours

                               = $73.47 per labor hour

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Answer:

 =65/139

Step-by-step explanation:

42 red, 45 green, 20yellow, and 32 purple candies = 139 candies

P( green or yellow) = green or yellow / total

                                =(45+20) / 139

                                  =65/139

The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

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Answer:

$51.2

Step-by-step explanation:

If you subtract 64 to 20% then you end up with $51.2

Answer:

2x + 17 = 81 is the equation

x=32

Step-by-step explanation:

2x + 17 = 81

subtract 17 from 81, which is 64

64 divided by 2 is 32

to check the answer, 2 times 32 = 64 + 17 = 81

hope this helped :)

Alessia spent $5,408 on entertainment in 2021.

To determine how much Alessia spent on entertainment in 2021, we need to work backward from the given information about her salary in 2022.

Let's assume Alessia's salary in 2021 was the same as in 2022, which is $26,000 after tax.

Since Alessia spends 35% of her after-tax salary on rent, we can calculate her rent expenditure:

Rent = 35% × $26,000

= $9,100

The remaining amount is split between food, petrol, and entertainment in the ratio 6:11:8.

To determine the ratio's total parts, we sum the individual parts:

Total parts = 6 + 11 + 8 = 25

Next, we calculate the value of one part of the ratio:

One part = ($26,000 - $9,100) / 25

= $16,900 / 25

= $676

Now, we can calculate how much Alessia spent on entertainment in 2021, which is 8 parts of the ratio:

Entertainment expenditure = 8 × $676

= $5,408

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Answer:

78×8/13=48

78×1/13 =6

78×4/13=24

8:1:4

48:6:24

*check attachment for options given

Answer:

Ariel (150 words per minute)

Step-by-step explanation:

We are given the different rate at which each student reads number of words against time.

To select which student reads the fastest (greatest number per minute), let's calculate for each student the number of words they can read per minute using the information given to us about the 3 students in the options.

==>Tamar:

Let "a" be the number of words Tamar reads per minute

500 words = 5 minutes

a = 1 minutes

Cross multiply

500*1 = 5*a

500 = 5a

500/5 = a

a = 100 words per minute.

==>Levi:

From the table given for Levi, he reads 280 words in 2 minutes

Let "b" be the number of words he would read per minute

280 = 2

b = 1

280*1 = 2*b

280 = 2b

280/2 = b

140 = b

b = 140 words per minute

==>Ariel:

From the graph given for Ariel, 300 words is read in 2 minutes.

Let c = words read per minute

300 = 2

c = 1

300*1 = 2*c

300 = 2c

300/2 = c

150 = c

c = 150 words per minute

The student that reads fastest is Ariel (150 words per minute)

Answer:

ariel

Step-by-step explanation:

Khanacademy

Trust

The first and third rectangular prisms have the same volume of 30 cubic units.

The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.

The volume of each of the rectangular prisms can be calculated as follows:

1.   length: 1; width: 10; height: 3

volume = 1 x 10 x 3 = 30

2.  length: 5; width: 10; height: 7

volume = 5 x 10 x 7 = 350

3.   length: 2; width: 5; height: 3

volume = 2 x 5 x 3 = 30

4.   length: 4; width: 2; height: 3

volume = 4 x 2 x 3 = 24

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Answer:

- 12x² + 9x + 9

Step-by-step explanation:

(- 10x² + 2) + (- 2x² + 9x + 7 ) ← remove parenthesis

= - 10x² + 2 - 2x² + 9x + 7 ← collect like terms

= - 12x² + 9x + 9

Homoskedasticity and heteroskedasticity are terms used to describe the variability of errors in a multiple linear regression model.

To check for heteroskedasticity in a multiple linear regression model, there are several diagnostic tests and graphical methods that can be used: Residual plot, Breusch-Pagan test, White's test, Goldfeld-Quandt test,

Homoskedasticity refers to a situation where the variance of the errors (residuals) is constant across all levels of the independent variables. This means that the spread of the residuals is the same throughout the range of predicted values. In other words, the variability of the errors is consistent and does not change systematically.

Heteroskedasticity, on the other hand, occurs when the variance of the errors is not constant across all levels of the independent variables. In this case, the spread of the residuals tends to vary as the predicted values change. Heteroskedasticity implies that the variability of the errors is not consistent and may exhibit patterns or trends.

To check for heteroskedasticity in a multiple linear regression model, there are several diagnostic tests and graphical methods that can be used: Residual plot, Breusch-Pagan test, White's test, Goldfeld-Quandt test,

Residual plot: Plotting the residuals against the predicted values or the independent variables can reveal patterns or trends in the spread of the residuals. If the spread of the residuals appears to fan out or there is a clear pattern, it suggests the presence of heteroskedasticity.

Breusch-Pagan test: This is a statistical test that formally tests for heteroskedasticity in the residuals. The test assesses the relationship between the squared residuals and the independent variables. If the test result is statistically significant, it indicates the presence of heteroskedasticity.

White's test: Similar to the Breusch-Pagan test, White's test also examines the relationship between the squared residuals and the independent variables. It is another statistical test commonly used to detect heteroskedasticity in regression models.

Goldfeld-Quandt test: This test divides the data into two groups based on a selected independent variable and compares the variances of the residuals between the two groups. If the variances significantly differ, it suggests the presence of heteroskedasticity.

By conducting these tests and examining the graphical plots, one can assess whether heteroskedasticity is present in the multiple linear regression model. If heteroskedasticity is detected, it may be necessary to address the issue by using heteroskedasticity-robust standard errors, transforming variables, or considering alternative regression techniques designed to handle heteroskedastic data.

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There are 41 ways to distribute five distinguishable objects into three indistinguishable boxes.

The boxes are indistinguishable, there are 5 different ways to arrange the number of balls in each box: (5,0,0), (4,1,0), (3,2,0), (3,1,1), or (2,2,1).

There is 1 way to put all 5 balls in one box i.e (5,0,0)

(4,1,0): There are 5 choices for the 4 balls in one of the boxes.

(3,2,0): There are 10 choices for the 3 balls in the boxes.

(3,1,1): There are 10 choices for the 3 balls in one of the boxes, and we can simply split the last two among the other indistinguishable boxes.

(2,2,1): There are 10 options for one of the boxes with two balls, then 3 options for the second box with two balls, and one for remaining for the third.

Therefore the boxes with two balls are indistinguishable, we are counting each pair of balls twice so we have to divide by two.

So there are (10×3)/2=15 arrangements of balls as (2,2,1).

Hence the total number of arrangements for 3 indistinguishable boxes and 5 distinguishable balls is 1+5+10+10+15=41.

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Answer:

x≥-16

Step-by-step explanation:

-3/4x≤12

Multiply each side by -4/3, remembering to flip the inequality

-4/3 *-3/4x≥ -4/3 *12

x≥-16

Answer: x ≥ -16

Step-by-step explanation:

Divide both sides by -3/4 to get x alone.

When you divide or multiply both sides by a NEGATIVE, the inequality FLIPS.

-3/4x ≤ 12

Divide both sides by -3/4:

x ≥ -16

Hope this helps!

Answer:

is 105

Step-by-step explanation:

Answer:

105°

Step-by-step explanation:

About 99.7% of individuals have IQ scores in the interval 100 ± 3 ( 15 ) = [ 55 , 145 ] .

A total score obtained from a series of standardized tests or subtests created to gauge human intelligence is known as an intelligence quotient (IQ).  The psychologist William Stern created the abbreviation "IQ" for the German term Intelligent quotient, which he used to refer to a scoring system for intelligence tests at the University of Breslau that he promoted in a 1912 book.

In the past, a person's IQ was determined by dividing their mental age score—obtained after taking an intelligence test—by their chronological age, which was also stated in years and months. To get the IQ score, the resulting fraction (quotient) was multiplied by 100. The raw score for contemporary IQ tests is converted to a normal distribution with a mean of 100 and a standard deviation of 15.

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