Consider the graph of function g below. A diagonal curve declines from (negative 3, 8), (negative 2, 5), (negative 1, 2), (0, negative 1), (1, negative 4), (2, negative 7), and (3, negative 10) on an x y coordinate plane. Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g. shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3 shift left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3 reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit shift right 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3 shift down 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3 reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit

The acceleration require for the body to not explode will be 0.2941\( m/s^2 \)

The finish line as given is 253m away so that distance to be covered will be 253m.

Also we had started to run from rest so that initial velocity will be 0m/s.

We should take care that we could not explode and this is possible only if we reach to the velocity of 53.2m/s. So our final velocity will be 53.2m/s.

Now average velocity will be the sum of initial velocity and final velocity divided by 2.

∴ Average velocity  =  (initial velocity + final velocity) / 2.

∴ Average velocity = (0 + 53.2) / 2 = 53.2 / 2 = 26.6m/s

As we know that average velocity will give us an average time of the run by formula average speed = distance / average time.

∴ Average time = distance / average speed

∴ Average time = 253 / 26.6 = 9.51s.

Now as we know by the formula to calculate acceleration we need the average velocity, average time and we have both of them.

∴ Acceleration = \( \frac{average\ velocity}{(average\ time)^2}\)

∴ Acceleration = \( \frac{26.6}{(9.51)^2}\)

∴ Acceleration = \( \frac{26.6}{90.44}\)

∴ Acceleration = 0.2941\( m/s^2 \)

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The probability of X falling between 5 and 8 is 0.3, and this probability is proportional to the length of the interval.

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1. Graph of the function y = (x² - 16)/(x - 4)The given function is y = (x² - 16)/(x - 4). It can be rewritten as y = (x + 4)(x - 4)/(x - 4) which gives y = x + 4. Here, (x - 4) is a common factor which we can cancel out as long as x ≠ 4. The vertical asymptote of the function is at x = 4 because the denominator becomes 0 at x = 4.

There is no horizontal asymptote as the degree of the numerator and the denominator are equal. The graph of the function is as follows:Graph of the function y = (x² - 16)/(x - 4)In the graph, it is evident that the function is continuous everywhere except at x = 4 because the denominator becomes 0 at x = 4, which means the function is not defined at x = 4. Therefore, the function is discontinuous at x = 4. The discontinuity at x = 4 is not removable as the limit of the function does not exist at x = 4.2. Graph of the function y = (x² - 3) / (2x + 3)For x ≤ 0, the function is y = (x² - 3) / (2x + 3). We can rewrite it as y = (x² - 3) / [(2x + 3)/x].

The graph of the function y = (x² - 3) / (2x + 3) for x > 0 is as follows:Graph of the function y = (x² - 3) / (2x + 3) for x > 0Therefore, the function is continuous everywhere except at x = 0, where it has a vertical asymptote. Thus, there are no removable discontinuities in the given function.

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Answer: What is your question?

Step-by-step explanation:

The probability of being a senior is the total number of seniors divided by the total number of students.

The probability of a student walking given that they are seniors can be calculated using Bayes' theorem. Bayes' theorem is a formula that relates conditional probabilities to their inverses. The formula is: P(A|B) = P(B|A) P(A) / P(B)where P(A|B) is the probability of event A given that event B has occurred. In this case, A is "walking" and B is "senior." P(B|A) is the probability of being a senior given that the student is walking, P(A) is the probability of walking, and P(B) is the probability of being a senior. We can also represent the above formula in the form of a tree diagram, where P(walk | senior) is one branch of the tree.

The probability of being a senior is represented by the root of the tree, while the probability of walking is represented by a branch from the root. The probability of walking given that the student is a senior is calculated by dividing the probability of a senior walking by the probability of being a senior. The probability of walking can be calculated by adding up the probabilities of walking for each grade level and dividing by the total number of students.

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The algebra properties associated to each case are listed below:

Case 1: Distributive property

Case 3: Associative property (multiplication)

Case 5: Existence of inverse (addition)

In this question we find three algebraic expressions, in which we need to determine what algebra property is used. The most important properties in real algebra are listed below:

Now we proceed to determine the property associated to corresponding operation:

Case 1

9 · (x + y) = 9 · x + 9 · y → Distributive property

Case 3

[8 · (3 / 2)] · 15 = 8 · [(3 / 2) · 15] → Associative property (multiplication)

Case 5

(6 · x + 1) + (- 6 · x + 1) = 0 → Existence of inverse (addition)

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Answer:

Have a Nice Best Day : ) i'm sorry there where no Answer

the estimated sale price of the pair of slacks is $39.96.

To arrive at this answer, we can use the following calculation:

Sale Price = Original Price - (Discount Percent x Original Price)
Sale Price = $49.95 - (0.20 x $49.95)
Sale Price = $49.95 - $9.99
Sale Price = $39.96

Therefore, the estimated difference between the original price and the sale price is $9.99.

if the pair of slacks is marked at $49.95 in a store having a 20% off sale, the estimated sale price is $39.96 and the estimated difference between the original price and the sale price is $9.99.

The estimated difference in the original price and the sale price of the slacks is $9.99.


1. To find the discount amount, we multiply the original price by the percentage of the discount.
2. The original price is $49.95, and the discount is 20%.
3. Convert 20% to a decimal by dividing it by 100 (20/100 = 0.20).
4. Multiply the original price by the discount (0.20 * $49.95 = $9.99).


So, the estimated difference in the original price and the sale price is $9.99, which is the discount amount.

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m is for our men at the club

m + (4xm) is for our women

It cannot be m + 4 because we don't know the value of m.

E.g. If we knew there were 3 men at the club, then, in total, we'll have 3 men + 3 women + 4 extra giving us 10 members.

This also works for 1 men + 1 women + ( 4 more women) meaning 1 women x 4 = 4 women & ending up with 1 + 1 + 4, which is 6.

Note that if I have 5 oranges, and you have 2 extra than mine, you'll have 7 oranges. This means at some point we had the same amount of 5 oranges + the extra.

Plus, we know one in front of any variable gives us the variable like 1x is the same as x. In this case 1m is also the same as m.

So, we arrive at a total of - the m + m + (4xm) =>

2m + (4m) which is 6m

The total number of men and women in terms of m will be 6m.

Check:

If there were to be 5 men, we get a total of 30 men + women (6x5) altogether or 30 members.

the m + m + (4xm) => 5 + 5 + (4x5) = 30

Hope this helps!

Size of sample needed to determine the percentage of people with give margin of error is equal to 1691.

As given in the question,

Margin of error = 2%

                          = 0.02

Sample proportion 'p' = 0.5

⇒ (1 - p) = 1 - 0.5

             = 0.5

Let 'n' represents the sample size

Z- value at confidence interval 90% = 1.645

Formula used

Margin of error = z-value √ [p( 1-p)/n]

Substitute the value we get,

0.02 = 1.645 √ (0.5)(0.5)/n

Squaring on both the side

0.0004 = 2.706025 ( 0.25/n)

⇒ n = ( 2.706025 × 0.25 )/ 0.0004

⇒ n = 1691.26

⇒ n ≈ 1691

Therefore, size of sample needed with given margin of error is equal to 1691.

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Answer:

area=54

perimeter=30

Step-by-step explanation:

add all the sides=p

multiply 6 and 3 then 6 and 6 and add them together=a

Answer:

perimeter = a+b+c+d+e+f+g

= 6 +3+2+6+6+2+3= 28

area=first of all find the area one by one

area of the lying rectangle is.

a=l×b

but first let's add 3+3 =6

b=6

a=6×6

a=36

area of the standing rectangle

a=l×b

let's add 6+6=12 &2+2=4

a=l×b

a=12×4=48

then let's add both area together

36+48=84

therefore perimeter is 28 and area is 84

Step-by-step explanation:

why is double 6 is because the length are the same.

Answer:

11 sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin 45 = x /22

22 sin 45 = x

22 ( sqrt(2)/2) =x

11 sqrt(2)

The legs are equal since the  base angles are equal

The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

The median of a set of consecutive integers can be found by determining the middle value in the sequence. Given that the sum of 49 consecutive integers is 75, we can calculate their median.

To find the median of a set of consecutive integers, we need to determine the middle value. In this case, we are given that the sum of 49 consecutive integers is 75.

Let's assume the first integer in the sequence is "x." Since we have 49 consecutive integers, the last integer will be "x + 48." The sum of the sequence can be expressed as the sum of an arithmetic series: S = (n/2)(first term + last term), where "n" is the number of terms.

Substituting the given values, we have 75 = (49/2)(x + (x + 48)). Simplifying this equation further, we get 75 = 49(2x + 48).

Solving for "x" gives us x = -49. Therefore, the first integer in the sequence is -49, and the last integer is -1.

The median of a sequence of consecutive integers is the middle value. In this case, since we have an odd number of integers (49), the median will be the central value, which is (-49 + -1) / 2 = -25.

Thus, the median of the given sequence of 49 consecutive integers is -25.

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Answer:

There are 4 possible scenarios where given relation could not be a function:

i)  \((-1, 4), (0,4), (2,5), (3,-6), (-1, 7)\)

ii) \((-1, 4), (0,4), (2,5), (3,-6), (0, 7)\)

iii) \((-1, 4), (0,4), (2,5), (3,-6), (2, 7)\)

iv) \((-1, 4), (0,4), (2,5), (3,-6), (3, 7)\)

Step-by-step explanation:

From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:

i)  \((-1, 4), (0,4), (2,5), (3,-6), (-1, 7)\)

ii) \((-1, 4), (0,4), (2,5), (3,-6), (0, 7)\)

iii) \((-1, 4), (0,4), (2,5), (3,-6), (2, 7)\)

iv) \((-1, 4), (0,4), (2,5), (3,-6), (3, 7)\)

Answer:

The answer is 27 because 3x9=27.

Answer:

x=6- sqrt(5)

x=6+ sqrt(5)

Step-by-step explanation:

(x - 6)^2 - 5 = 0

Add 5 to each side

(x - 6)^2 =5

Take the square root of each side

sqrt((x - 6)^2)  =± sqrt(5)

x-6 =  ± sqrt(5)

Add 6 to each side

x-6+6=6± sqrt(5)

x=6± sqrt(5)

from least to greatest

x=6- sqrt(5)

x=6+ sqrt(5)

Answer:

\(\Large \boxed{ x=6 -\sqrt{5} \ \ \mathrm{or} \ \ x=6 + \sqrt{5}}\)

Step-by-step explanation:

\((x - 6)^2 - 5 = 0\)

Adding 5 to both sides of the equation.

\((x - 6)^2 =5\)

Taking the square root of both sides of the equation.

\(x-6 =\pm \sqrt{5}\)

Adding 6 to both sides of the equation.

\(x=6 \pm \sqrt{5}\)

Answer:

C≈69.12

Step-by-step explanation:

C=2πr=2·π·11≈69.11504

The measure of angle A in the triangle is 18°

The angles in the triangle are given as:

m∠A = (2x − 24)°, m∠B = (x + 8)°, m∠C = (4x + 49)°

The sum of angles in a triangle is 180

So, we have

m∠A + m∠B + m∠C = 180

Substitute the known values in the above equation

So, we have:

2x − 24 + x + 8 + 4x + 49 = 180

Evaluate the like terms

7x = 147

Divide both sides by 7

x = 21

Substitute x = 21 in m∠A = (2x − 24)°

m∠A = (2 * 21 − 24)°

Evaluate

m∠A = 18°

Hence, the measure of angle A in the triangle is 18°

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Answer:

-6

Step-by-step explanation:

Answer:

6) 96

7) 35.84

8) 41.88

9) 160

10) 1140

11) 112.50

12) 112.50

Step-by-step explanation:

Answer:

$17.43

Step-by-step explanation:

30% of 24.9 is 7.47, subtract 7.47 from 24.9 and you get 17.43

Answer:

She would have $33 left.

Step-by-step explanation:

First input the $2.50 into the "d" variable and multiply 6 by 2.50.

48−(6)(2.5)

Then, subtract 48 by 15.

48−15

Finally, you have your answer.

33

that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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Answer:

75 laps

Step-by-step explanation:

"sixth day of the month" (meaning day number 6)

e = even (10 laps); o = odd (15 laps)

day 1 (o)       day 2 (e)       day 3 (o)       day 4 (e)       day 5 (o)       day 6 (e)

15 laps         10 laps          15 laps          10 laps          15 laps          10 laps

Total: 15 + 10 + 15 + 10 + 15 + 10

Total: 75 laps

:3))

Complete question :

designs a board game in which a card is drawn on each turn. • A blue card means move forward 4 squares. • A red card means move back 6 squares. Liam suggests adding some other cards to Sia's game Part A Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.

Answer:

2 squares backward

Step-by-step explanation:

Given the rule :

Blue card = 4 squares forward

Red card = 6 squares backward

Yellow card = drawing a blue followed by a red

Spaces moved after drawing a yellow card:

Yellow equals :

Blue = + 4 squares ; then

Red = - 6 squares

Net total movement :

Blue + red

+4 + (-6)

4 - 6

- 2

2 squares backward

The height on the wall that the ladder reaches is approximately 21.04feet.

Angle made by ladder against the wall = 68 degrees.

Distance between foot of the ladder and wall = 8.5 feet

Use trigonometry function  ,

Let us consider the height on the wall that the ladder reaches as 'h'.

Use the tangent function,

tan α = height on wall ladder reaches / distance between wall and foot of the ladder

⇒ tan(68°) = h / 8.5

Solving for h, we get,

⇒h = 8.5 × tan(68°)

⇒h = 8.5 × 2.475

⇒ h = 21.04 feet (Rounding to the nearest hundredth)

Therefore, ladder reaches a height of approximately 21.04 feet on the wall.

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The vectors u and v are orthogonal when k equals 5 or -2.

Two vectors u and v are orthogonal if their dot product is equal to zero. The dot product of two vectors u and v is given by the formula:

u · v = u₁ × v₁ + u₂ × v₂ + u₃ × v₃

where u₁, u₂, u₃ are the components of vector u, and v₁, v₂, v₃ are the components of vector v.

Let's calculate the dot product of u and v:

u · v = (k × -5) + (k × (k + 2)) + (-2 × 5)

= -5k + k² + 2k - 10

= k² - 3k - 10

For the vectors to be orthogonal, the dot product must be zero:

k² - 3k - 10 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula:

(k - 5)(k + 2) = 0

From this equation, we can see that the values of k that satisfy the equation are:

k = 5 or k = -2

Therefore, the vectors u and v are orthogonal when k equals 5 or -2.

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The probability that it is a banana is zero.

Probability is a branch of mathematics that deals with the study of random events or phenomena. It is a measure of the likelihood or chance of a particular event occurring, expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

We know that;

1) Probability that it is a pear; 21/50 or 0.42 or 42%

2) Probability that it is bruised ; 7/21 or 0.33 or 33%

3) Probability that it is a bruised apple; 5/29 or 0.17 or 17%

4) The probability that it is an unbruised pear is; 14/21 or 2/3 or 0.67 or 67%

5) The probability that it is a banana is zero

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