Describe in words a sequence of transformations that maps ABC to A'B'C'

Answer:

1, -3 ==> y=[1]x+[-3]

Step-by-step explanation:

m=(y2-y1)/(x2-x1) ==> (x1, y1), (x2, y2) and m is the slope of the graph

(5, 2), (4, 1) ==> (x1, y1), (x2, y2) ==> (x1=5, y1=2), (x2=4, y2=1)

m=(1-2)/(4-5) ==> plug in known values

m=-1/(-1)

m=1

y=mx+b ==> slope intercept equation

2=1(5)+b  ==> plug in the slope(m) and a coordinate (5, 2)

2=5+b

2-5=5-5+b ==> solve for b

b=-3

y=1*x+(-3)

Answer: 1, -3

Answer: $10,000

Step-by-step explanation:

Given the following :

Profit if economy remains strong = $30,000

Profit if economy grows at moderate pace = $10, 000

Loss if economy goes into recession = $30,000

Probability that economy will remain strong = 20% = 0.2

probability the economy will grow at a moderate pace = 70% = 0.7

probability the economy will slip into recession = 10% = 0.1

Expected value = sum of (x * p(x))

Here expected value equals;

Strong economy profit = $30,000 * 0.2 = $6000

Moderate economy profit = $10,000 * 0.7 = $7000

Loss on Recession = $30,000 * 0.1 = $3000

Expected profit = $(6000 + 7000 - 3000)

Expected profit = $10,000

Answer:

Step-by-step explanation:

Use right triangle trig here...the 30-60-90 right triangle to be specific. We have the 60 degree angle as the reference angle. That means that the 90 degree angle is the other base angle and the 30 degree angle is the vertex angle (the angle at the top). In a 30-60-90 Pythagorean Triple, the side across from the 30 degree angle measures x, the side across from the 60 degree angle measures x√3, and the side across from the 90 degree angle (this side is also called the hypotenuse!) measures 2x. If we can find the measure of x, then we will multiply it by 2 to get the length of OQ, the hypotenuse.

The side across from the vertex angle is the distance along the x-axis, which we know to be 2. That means that x = 2. Therefore, the length of the hypotenuse, 2x, is 2(2) which is 4.

h is the same as the length of the side across from the 60 degree angle. The side across from the 60 degree angle is x√3. We already know that x = 2, therefore, h = 2√3.

Answer:

$150

Step-by-step explanation: 11.25 divided by tax rate of 7.5 % equals 150

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

(a) To find the mean and standard deviation of the average number of moths in 60 traps, we can use the properties of the normal distribution and the central limit theorem.

The mean of the average number of moths in 60 traps is equal to the mean of the individual moth counts, which is 0.5.

The standard deviation of the average number of moths in 60 traps is equal to the standard deviation of the individual moth counts, divided by the square root of the sample size.

standard deviation = 0.7 / sqrt(60) = 0.0905

the mean and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905, respectively.

(b) To use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4, we need to standardize the distribution of sample means using the Z-score formula:

Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

Substituting the given values, we have:

Z = (0.4 - 0.5) / (0.7 / sqrt(60)) = -1.94

Using a standard normal table or a calculator with a normal distribution function, we can find that the probability of getting a Z-score greater than -1.94 is approximately 0.9738.

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

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Answer:

129

Step-by-step explanation:

123+6= 129

Answer:

Ciento veintinueve

Answer:

Yes, it is possible.  Hope this helps!

Step-by-step explanation:

About 95% of the area is between z equals -2 and z equals 2 (or within 2 standard deviations of the mean).  the blank should be filled with "About 95% of the area is between z equals -2 and z equals 2 (or within 2 standard deviations of the mean)."

1. Begin by finding the area to the left of z equals -2. This represents the area under the curve from negative infinity up to -2 standard deviations. Using a standard normal distribution table or a calculator, we can find this area to be approximately 0.0228.

2. Next, find the area to the left of z equals 2. This represents the area under the curve from negative infinity up to 2 standard deviations. Again, using a standard normal distribution table or a calculator, we can find this area to be approximately 0.9772.

3. Subtract the area to the left of z equals -2 from the area to the left of z equals 2. This gives us the area between z equals -2 and z equals 2. Therefore, 0.9772 - 0.0228 = 0.9544.

4. Finally, convert the area to a percentage by multiplying by 100. So, 0.9544 * 100 = 95.44%. Rounding to two decimal places, we can conclude that about 95% of the area is between z equals -2 and z equals 2 (or within 2 standard deviations of the mean).

Therefore, the blank should be filled with "About 95% of the area is between z equals -2 and z equals 2 (or within 2 standard deviations of the mean)."

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The average mark that Sally need on the next two tests to have an average of 80 for all of the tests is 88.

Since the average mark on the first 4 tests Sally took was 76. The total marks will be:

= 76 × 4

= 304

Since she wants an average of 80 on 6 test, the total will be:

= 80 × 6

= 480

Therefore, the average needed in the two tests will be:

= (480 - 304) / 2

= 88

The average is 88.

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The correct expression that represents a quadratic expression is: 12x² + 8x - 1.

A quadratic equation is an algebraic expression that involves numbers and variables choosing the second degree of x.

Therefore, we can conclude that the correct quadratic equation from the options is 12x² + 8x - 1.

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Answer:

12x² + 8x - 1.

Step-by-step explanation:

Answer:

ok gimmie a min i will put answr

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Complete the table

                          Monday             Tuesday            Wednesday             Total

Female       21-14=7                 38-13-7= 18                 13                          38

Male              14                       33-18= 15                 26-13 =13            80-38=42

Total        80-33-26= 21                 33                          26                      80

b) P(the student is a female) = 38/80= 0.475

c) P(the student visited the library on Tuesday) = 33/80= 0.4125

Answer:

a) Monday Total: 21.

Monday Female: 7.

Tuesday Female: 18.

Tuesday Male: 15

Wednesday Male: 13

Male Total: 42.

b) 47.5% probability that the student is a female.

Step-by-step explanation:

a) How to find Monday Total: We have the totals for Tuesday and Wednesday, and we know the total of all three days is 80. So, we need to find the difference between Tuesday + Wednesday & all 3 days, to find the total of Monday. What we do is add 33 + 26 which equals to 59. Then, we remove 59 from 80 (80-59). The answer we get is 21, which is the difference between the two. That's Monday's total.

How to find Male Wednesday: We already have Wednesday Female, and the total for Wednesday. But now we're finding the Wednesday Male. Find the difference between Wednesday Total and Female (26-13). The answer is 13! The Wednesday Male is therefore 13.

How to find Male Total: We have to find the difference between the complete total (80) and the Female total (38). Subtract: (80-38). The answer you get is 42!

How to find Tuesday Male: Now that we have the Wednesday Male, and the Male Total, we can easily find the Tuesday Male! The Male Total is 42, and we know the Male Monday is 14, along with the Male Wednesday being  13. Add Male Monday and Male Wednesday together. (13+14=27). Now take that and remove it from 42. (42-27). The answer we get is 15. 15 is our Tuesday Male.

How to find Monday Female: We already know what the Monday Total is from previous calculations(21), so all we have to do now is find the difference from the Monday Total and the Male Monday to find the Female Monday. Subtract: (21-14) The answer we will get is 7. The Monday female is 7.

How to find Tuesday Female: We already have Tuesday Male, and the Tuesday Total, so we subtract the Tuesday Male from the Tuesday Total. (33-15). The answer we get is 18.

b) The answer would be 47.5% because 38 is 47.5% of 80. How? Divide 38 by 80. The answer would be 0.475. Now, multiply that answer by 100. You get 47.5! That's the percentage.

This is my first question that I've answered, I'm sorry if there are any mistakes!

Answer:

Step-by-step explanation:

Angle A and Angle B are equal as they are adjacent angles hence measure of angle B is 160°

Answer:

these are okayish grades but great effort.

We have in a) that

So the answer for a) is 2.8

Now in b) we have that

So the answer for b) is 25%.

The correct option is D. 100. The jet engine is 100 times more intense than the rock concert.

The decibel scale is logarithmic, which means that every increase of 10 decibels represents a tenfold increase in sound intensity. To determine how many times more intense the jet engine (140 decibels) is compared to the rock concert (120 decibels), we need to calculate the difference in decibels and then convert it into intensity ratios.

The difference in decibels is 140 - 120 = 20 decibels. Since every 10 decibels represent a tenfold increase in intensity, a 20-decibel difference corresponds to a 100-fold increase in intensity. Therefore, the jet engine is 100 times more intense than the rock concert.

Among the options provided: A. 20 (not correct), B. 2 (not correct), C. 1/100 (not correct), D. 100 (correct). The correct option is D. 100.

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Answer:

numbers that describe diversity in a distribution are referred to as measures of Numbers that describe diversity in a distribution are referred to as measures of    Variability

Step-by-step explanation:

Answer:

I proved

Z=v

Step-by-step explanation:

Its my choice

The contract between Expert Pavers, Inc., and Fabricated Building Corporation for repaving Fabricated's parking lot includes various elements that are essential to the agreement and its enforceability.

A contract is a legally binding agreement between two or more parties that outlines the rights and obligations of each party. In the case of Expert Pavers, Inc., and Fabricated Building Corporation, the contract for repaving the parking lot encompasses several elements. First, there must be an offer from one party, which in this case is Expert Pavers, Inc., to perform the repaving services. Fabricated Building Corporation must then accept the offer and agree to pay for the services provided. This acceptance can be expressed orally, in writing, or even implied by the conduct of Fabricated Building Corporation. Furthermore, for a contract to be valid, there must be consideration, meaning that each party must provide something of value to the other. In this situation, Expert Pavers, Inc., provides the repaving services, and Fabricated Building Corporation provides payment. Additionally, the contract should clearly define the scope of work, timeline, and any other specific terms or conditions agreed upon by both parties. It is crucial for contracts to be clear, unambiguous, and mutually agreed upon to ensure enforceability and protect the rights of both parties involved.

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Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 6, - 3)

m = \(\frac{-3-5}{-6+2}\) = \(\frac{-8}{-4}\) = 2

C) Approximately 50% of visitors and residents in Florida participate in outdoor recreation.

This is an incredibly high rate, given the size and population of the state, and is indicative of the importance of outdoor recreation to the people of Florida. The Florida Department of Economic Opportunity is the main governing body responsible for ensuring visitors are responsible and respectful when participating in outdoor recreation .

This helps to protect the state's natural resources and maintain its beautiful landscapes. Additionally, surveys conducted by the Florida Fish and Wildlife Conservation Commission have found that 64% of Florida residents enjoy participating in outdoor recreation on public lands.

This number is likely higher as many people do not respond to surveys or are unaware of the recreational opportunities available to them. This highlights the importance of outdoor recreation education and outreach programs, which help to inform the public of the resources and activities available to them

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Hey there!

Assuming:

(3^2 * 4^2)^5

If so,

(3^2 * 4^2)^5

= (3 * 3 * 4 * 4)^5

= (9 * 16)^5

= (144)^5

= 144^5

= 144 * 144 * 144 * 144 * 144

= 20,736 * 20,736 * 144

= 429,981,696 * 144

= 61,917,364,224

Therefore, your answer should be:

61,917,364,224

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

To find the values of a, b, and c in the function y = ax^2 + bx + c, we can use the given points to form a system of equations. By substituting the x and y values of each point into the function, we can solve for a, b, and c.

Using the point (-1, 5):

5 = a(-1)^2 + b(-1) + c

5 = a - b + c ... (Equation 1)

Using the point (2, 7):

7 = a(2)^2 + b(2) + c

7 = 4a + 2b + c ... (Equation 2)

Using the point (0, 3):

3 = a(0)^2 + b(0) + c

3 = c ... (Equation 3)

From Equation 3, we can directly determine that c = 3.

Substituting c = 3 into Equations 1 and 2, we have:

5 = a - b + 3 ... (Equation 4)

7 = 4a + 2b + 3 ... (Equation 5)

Simplifying Equations 4 and 5:

a - b = 2 ... (Equation 6)

4a + 2b = 4 ... (Equation 7)

We can solve this system of equations by elimination or substitution method.

Using elimination, we can multiply Equation 6 by 2 and add it to Equation 7:

2(a - b) + (4a + 2b) = 2(2) + 4

2a - 2b + 4a + 2b = 4 + 4

6a = 8

a = 8/6

a = 4/3

Substituting the value of a back into Equation 6:

4/3 - b = 2

-b = 2 - 4/3

-b = 6/3 - 4/3

-b = 2/3

b = -2/3

Therefore, the values of a, b, and c are:

a = 4/3

b = -2/3

c = 3

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Answer:

I am pretty sure it is time of event.

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Answer:

d. Summarized account information

Step-by-step explanation:

The series Σj=1∞j³-2² is converges.

To find out if the series converges or not, we will use the p-series test.

The p-series test states that if Σj=1∞1/p is less than or equal to 1, then the series Σj=1∞1/jp converges.

If Σj=1∞1/p is greater than 1, then the series Σj=1∞1/jp diverges. If Σj=1∞1/p equals 1, then the test is inconclusive.

Let's apply the p-series test to the given series. p = 3 - 2².

Therefore, 1/p = 1/(3 - 2²). Σj=1∞1/p = Σj=1∞3/[(3 - 2²) × j³].

Using the limit comparison test, we compare the given series with the p-series of the form Σj=1∞1/j³.

Let's take the limit of the ratio of the terms of the two series as j approaches infinity. lim(j→∞)(3/[(3 - 2²) × j³])/(1/j³) = lim(j→∞)3(3²)/(3 - 2²) = 9/5.

Since the limit is a finite positive number, the given series converges by the limit comparison test. Therefore, the series Σj=1∞j³-2² converges.

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x = 245/5 x = 49, the length of the side LN is 49 cm.

The sides of the triangles ABC and LMN are proportional due to their similarity. Let's call the length of the LN side x cm.

We are able to establish the proportion based on the similarity as follows:

When we plug in the given values, we get AB/LM = AC/LN:

5/35 = 7/x We can cross-multiply and solve for x to get x:

When we divide both sides by 5, we get: 5x = 7 * 35 5x = 245

Since x = 245/5 x = 49, the length of the side LN is 49 cm.

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Answer: 1 3/6

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

3(5^2) = 3(25) = 75