(SELECT ALL THAT APPLY)
Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g.

reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit

shift down 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3

shift right 1 unit, reflect over the y-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 left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{8}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{3}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{(~~3 - 8~~)^2 + (~~8 - 2~~)^2} \implies PQ=\sqrt{( -5 )^2 + ( 6 )^2} \\\\\\ PQ=\sqrt{ 25 + 36 } \implies PQ=\sqrt{ 61 }\implies PQ\approx 7.8\)

To calculate percentage decrease, we will use the formula;

decrease = original number - new number

= 166 - 12 =154

=92.8%

Answer:

for Part A

Answer is C.

Step-by-step explanation:

\( \tan(a) = \frac{opposite}{adjacent } \\ \)

Here the angle, a is 60°, Opposite is 20 and adjacent is x.

Therefore we have,

\( \tan(60 ) = \frac{20}{x} \)

Making x the subject gives us

\(x = \frac{20}{ \tan(60) } \)

Part B

Value of x to the nearest tenth

\(x = 11.547 \\ to \: the \: nearest \: tenth \\ x = 12\)

Answer:

Lots of "ifs" here.

A=bh/2 is the formula for the area of a triangle.

A=bh is the formula for the area of a rectangle or a parallelogram.

If the 6 & 4 area the base & height of a rectangle, then (6)(4) = 24 in^2

If the 6 & 10 are the base and height of a triangle, then 1/2(6)(10) = 30 in^2

Step-by-step explanation:

Answer: Rational Numbers are the Numbers where if p/q, q is not equal to 0 and p is an integer. So according to this questionm denominators can’t have the negative rational numbers. If it has, we need to convert it to standard form, eg:- p/-q = -p/q

Answer:

Yes

Step-by-step explanation:

\(A \ rational \ number \ is \ a \ number\ of\ the\ form\ \frac{p}{q}, \\\\where\ p\ and\ q \ are\ integers\ and\ q \ not\ equal \ to\ zero.\\\\That\ means\ q\ can\ take\ any\ number\ positive\ or\ negative\ but\ zero.\)

Answer:

It'll work for any numbers w, h, l. The formula for the surface area of a cuboid is 2(lw + bw + hl)

Step-by-step explanation:

The required order of the number from least to greatest square root is

1/√3 < √1 < √2 < √2.5

Which number is greatest in value:

In the above numbers 1, 1/3 and 2.5 do not have square roots.

So, we will write 1, 1/3 and 2.5 inside the square root as shown below.

√1 = 1

√(1/3) = 1/√3 = 0.577350269

√2.5 = 1.58113883

√2 = 1.414

Arranging these numbers according to their value, we get the order as-

0.577350269 < 1 < 1.414  < 1.581138831

Hence, the required order of the number from least to greatest square root is 1/√3 < √1 < √2 < √2.5.

Learn more about the order of the number from least to greatest square root on:

https://brainly.com/question/295956

#SPJ4

The measure of reliability of a statistical inference is the significance level. The significance level, also known as alpha, is the probability of rejecting the null hypothesis when it is actually true. It determines the threshold for accepting or rejecting a hypothesis.

A lower significance level indicates a higher level of confidence in the results. A descriptive statistic provides information about the data, but it does not directly measure the reliability of a statistical inference. It simply summarizes and describes the characteristics of the data.

A sample statistic is a numerical value calculated from a sample, such as the mean or standard deviation. While it can be used to make inferences about the population, it does not measure the reliability of those inferences.
A population parameter is a numerical value that describes a population, such as the population mean or proportion.

While it provides information about the population, it does not measure the reliability of inferences made from a sample. In conclusion, the significance level is the measure of reliability in a statistical inference as it determines the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true.

To know more about Hypothesis visit.

https://brainly.com/question/32562440

#SPJ11

Answer:

3075 should be the answer.

Step-by-step explanation:

48-7)x(56+19

(48 - 7) x (56 + 19)

41 x 75

3075

Answer:

17=w

Step-by-step explanation:

decompose the brackets

24-2w=2w-34-10

collect like terms

24+34+10=2w+2w

68=4w

divide by 4

17=w

The answer is (d.) (x - 2)^2 = 9, which is equivalent to the original equation when completing the square.  To solve the given quadratic equation using the completing the square method, we'll rewrite the equation in the form (x - h)² = k.

Given equation: 0 = 3x² - 12x - 15

First, let's divide by 3 to simplify the equation:

0 = x² - 4x - 5

Next, let's complete the square by adding and subtracting the square of half the coefficient of x:

0 = (x² - 4x + 4) - 5 - 4

Now, we can rewrite the left side as a perfect square:

0 = (x - 2)² - 9

Finally, add 9 to both sides to get the equation in the desired form:

(x - 2)² = 9

So the correct answer is (d.) (x - 2)² = 9.

Learn more about square here:

https://brainly.com/question/28776767

#SPJ11

When the production manager selects a sample of items that have been produced on her production line and computes the proportion of those items that are defective, the proportion is referred to as a statistic.

The statement is true.

A statistic can be the sample mean or the sample standard deviation, which is a number computed from sample. Since a sample is random in nature therefore every statistic is a random variable (that is, it differs from sample to sample in such a way that it cannot be predicted with certainty).

Statistics are computed to estimate the corresponding population parameters.

Here the production manager selects a sample of items produced on her production line to compute the proportion of defective items, that is taken from the sample and would later be used to represent the entire bunch of items produced. Thus, the proportion can be referred to as a statistic.

Hence, the statement given is true.

To know more about statistic here

https://brainly.com/question/29093686

#SPJ4

Answer: 44.5

Hope this helps :)

Answer:

15.25 cm²

Step-by-step explanation:

Step 1: find the width of the rectangle, AE.

\( cos(60) = \frac{EA}{8} \)

\( 8*0.5 = EA \)

\( 4 = EA \)

\( EA = 4 cm \)

Step 2: Find the area of the rectangle

\( Area_{rectangle} = length * width = 8*4 = 32 cm^2 \)

Step 3: Find the area of the sector.

Take π as 3.14

\( Area_{sector} = \frac{30}{360}*3.14*8^2 \)

\( Area_{sector} = \frac{30}{360}*3.14*8^2 = 16.75 cm^2 \)

Step 4: Find the area of the shaded region.

Area of shaded region = \( Area_{Rectangle} - Area_{sector} = 32 - 16.75 = 15.25 cm^2 \)

Answer: 200

Step-by-step explanation:

you need to do : 1000 divided by 5 = 200

that means there were 200 bags because,

5 x 200 = 1000

Dion's study suffers from selection bias as his sample of individuals on the beach in Miami may not be representative of the entire population's affinity for warm weather.

This is because he is only sampling residents of Miami, Florida, who are on the beach.

This group may not accurately represent the entire population's affinity for warm weather, as it excludes those who may not enjoy the beach or may not have the opportunity to visit the beach.

A more representative sample would include individuals from various locations and backgrounds to better assess the affinity for warm weather across the population.

For similar question on population's.

https://brainly.com/question/29334875

#SPJ11

Answer:

101.60

Step-by-step explanation:

In the context of property variance, a variance refers to a legal authorization or exception granted to a property owner by the local governing authority. It allows the property owner to deviate from specific zoning regulations or land-use restrictions that would otherwise apply to their property.

The variance process is used when property owners believe that strict adherence to the existing regulations would cause undue hardship or prevent them from fully utilizing their property in a way that is reasonable and consistent with neighboring properties.

The purpose of property variances is to address unique circumstances or hardships that may exist for a particular property. Property variances typically involve submitting an application to the local zoning board or planning department, attending public hearings, and providing evidence or arguments to support the need for the variance.

The governing authority evaluates the application based on factors such as the impact on neighboring properties, public health and safety, and the intent of the zoning regulations. If approved, the property owner is granted permission to proceed with the proposed deviation from the regulations.

Overall, property variances provide flexibility in land-use regulations, allowing property owners to find reasonable solutions that meet their specific needs while still considering the broader community interests and objectives of zoning regulations.

To know more about property variance, refer here :

https://brainly.com/question/32469309#

#SPJ11

Answer:

1,2,3,4,5,6 possibilities, so 1,3,5 are odd. 3/6 probability. consecutive rolls mean multiplication. 3/6 times 3/6 times.... a total of 5 times.

Step-by-step explanation:

Answer:

=1/6 x 60

=10

He should expect about 10 roles to show a 1.

Answer:

81 + 81 + 10 aka 172

Step-by-step explanation:

Answer:

172

Step-by-step explanation:

z = 9

9 to the second power is 81

9 times 9 is 81

plus 10

= 172

hope this helps dude

The final result of calling (sum '(1 (2 ( 5 () 6) 3 8))) is 23.

Here is the Scheme procedure that takes a list and returns the sum of numbers that are greater than 5 in the list:

scheme

(define (sum lst)

 (cond ((null? lst) 0)

       ((list? (car lst)) (+ (sum (car lst)) (sum (cdr lst))))

       ((> (car lst) 5) (+ (car lst) (sum (cdr lst))))

       (else (sum (cdr lst)))))

Let's manually trace this procedure with the provided example (sum '(1 (2 ( 5 () 6) 3 8))).

First, we call (sum '(1 (2 ( 5 () 6) 3 8))). Since lst is not null, we move to the next condition.

(car lst) is 1, which is not a list. So we move to the third condition.

1 is not greater than 5, so we move to the last condition and call (sum '((2 ( 5 () 6) 3 8))).

Again, lst is not null, so we move to the second condition.

(car lst) is a list, so we call (sum (car lst)). This means we will now evaluate (sum '(2 ( 5 () 6) 3 8)).

This time, (car lst) is 2, which is not a list. So we move to the third condition.

2 is not greater than 5, so we move to the last condition and call (sum '(( 5 () 6) 3 8))).

Once again, lst is not null, so we move to the second condition.

(car lst) is a list, so we call (sum (car lst)). This means we will now evaluate (sum '( 5 () 6)).

This time, (car lst) is 5, which is not a list. So we move to the third condition.

5 is equal to 5, so we move to the last condition and call (sum '(() 6)).

Now, lst is not null, so we move to the second condition.

(car lst) is an empty list, so we move to the last condition and call (sum '(6)).

Once again, lst is not null, so we move to the third condition.

6 is greater than 5, so we add it to the result of calling (sum '()), which is 0. This gives us 6.

Now, we have evaluated (sum '(6)), and we can return the result to the previous call, which was (sum '(() 6)). We add 6 to the result of calling (sum '())), which is 0, giving us 6.

We have now evaluated (sum '( 5 () 6)), and we can return the result to the previous call, which was (sum '((2 ( 5 () 6) 3 8)))). We add 5 to the result of calling (sum '(() 6 3 8)), which is 17, giving us 22.

We have now evaluated (sum '((2 ( 5 () 6) 3 8))), and we can return the result to the initial call, which was (sum '(1 (2 ( 5 () 6) 3 8))). We add 1 to the result of calling (sum '((2 ( 5 () 6) 3 8))), which is 22, giving us 23.

Therefore, the final result of calling (sum '(1 (2 ( 5 () 6) 3 8))) is 23.

Learn more about  result  from

https://brainly.com/question/14672985

#SPJ11

Answer:

7

Step-by-step explanation:

Answer:

the answer is 7 i got it right

Step-by-step explanation:

Option C: Less than \(\sqrt58\\\) inches but greater than 7 inches

Ramon wants to make an acute triangle with three pieces of wood. So far,

he has cut wood lengths of 7 inches and 3 inches.

What length must the longest side be in order for the triangle to be acute?

According to the property of triangle,

If the square of larger side of triangle is equating to the sum of square of smaller side.

If \(a^{2} < b^{2}+c^{2}\) the triangle is acute triangle.

where, 'a' is the larger side and 'b' ,'c' are the smaller side

According to the question, Let a =a , b = 7, c = 3

\(a^{2} < 7^{2}+3^{2}\\ a^{2} < 49+9\\ a < \sqrt58\)

Means to be acute triangle third side must be less than \(\sqrt58\) inches but greater than 7 inches.

Learn more about the triangle is acute triangle

https://brainly.com/question/12285110

#SPJ4

Answer:

less than 58 inches but greater than 7

Step-by-step explanation:

i got it right on edge

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

For more questions on Values .

https://brainly.com/question/843074

#SPJ8

Step-by-step explanation:

Do you mean width equal 5

The lobe of the brain that is highlighted is Temporal Lobes.

Therefore, The correct option is B.

Temporal Lobes of the brain =

The temporal lobes are a region of the brain located on the sides of the head, beneath the lateral fissure, which separates them from the frontal and parietal lobes.

They are part of the cerebral cortex and play a crucial role in various cognitive functions and sensory processing.

Here are some key features and functions associated with the temporal lobes:

Hence the correct option is B.

Learn more about Brain lobes click;

https://brainly.com/question/29763788

#SPJ2

Answer:

The value of x would be 3.

Step-by-step explanation:

3³ = 27.

Answer:

3³

Step-by-step explanation:

3 × 3 = 9

9 × 3 = 27

good luck, i hope this helps :)

Answer:

10 walnuts..

Step-by-step explanation:

12 - 2 = 10

Answer:

10?

Step-by-step explanation:

12-2=10

The limit exists and equals -4 when a = 28.

From the information, we want to find the number a such that the limit exists. lim x→−2 4x² + ax + a + 12 divided by x² + x − 2.

It should be noted that this will be illustrated as:

(4x² + ax + a + 12) / (x² + x − 2)

We will substitute x = -2 into the value of x in the Illustration. This will be:

(16 - 2a + a + 12) / (4 - 2 - 2)

16 - 2a + a + 12 = 0

-a = -28

a = 28

Using lhopital rule, we'll find the derivative. This will be:

8x + a / 2x + 2

Substitute x = -2

(-16 + 28) / (-4 + 1)

= 12 / -3

= -4

Therefore the limit exists and equals -4 when a = 28.

Learn more about limit on

brainly.com/question/282767

#SPJ1

Complete question

find the number a such that the limit exists. lim x→−2 4x² + ax + a + 12 divided by x² + x − 2

Answer:

Part A)The amount of water in the tank is changing at -2/3 gallons per minute.

Part B) it will take 7.5 minutes for the tank to drain completely.

Part C) The water tank was completely full 4.5 minutes before Jada arrived.

Step-by-step explanation:

Information fetching:

Tank of water can hold up-to 10 gallons.

When it is active, a drain empties water from the tank at a constant rate.

7 gallons of water present in the tank when Jade first saw

5 gallons of water left after 3 minutes

Part A) At what rate is the amount of water in the tank changing?

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be -2/3 gallons per minute. Hence, the amount of water in the tank is changing at -2/3 gallons per minute.

Note: negative sign indicates the number of gallons of water are decreasing.

Part B) How many more minutes will it take for the tank to drain completely.

Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

(2/3 gallons per minute) (m minutes) = 5 gallons

So,

   m = 5 (3/2)

     = 15/2

     = 7.5 minutes

So, it will take 7.5 minutes for the tank to drain completely.

Part C) How many minutes before Jada arrived was the water tank completely full

As tank of water can hold up to 10 gallons. So, the tank of water is full when there is 10 gallons of water. So, this is 3 gallons of water more than the total 7 number of gallons at the time when Jada arrived.

As Jada arrived when the tank had left 7 gallons.

Let 'm' be the number of minutes before Jada arrived when the water tank was completely full.

So,

   (2/3) (m) = 3

   m = 3(3/2) = 9/2

       = 4.5 minutes

So, the water tank was completely full 4.5 minutes before Jada arrived.