PLEASE HELP ITS DUE IN 5 MIN
y = (x + 2)2 – 4
i) Identify parameters a, h, and k describe all of the transformations.
ii) Identify the vertex of the graph.

The elements of the complement of set K (K') are {1, 4, 6, 8, 9}.

The elements of the complement of set K (K'), we need to determine all the elements in the universal set that are not in set K.

The universal set, denoted as U, is defined as the set of positive integers less than 10.

The elements in the universal set U are {1, 2, 3, 4, 5, 6, 7, 8, 9}.

Set K is defined as the set of prime numbers.

The prime numbers less than 10 are {2, 3, 5, 7}.

To find the complement of set K (K'), we need to identify all the elements in the universal set U that are not in set K.

K' = U - K

Substituting the values, we have:

K' = {1, 2, 3, 4, 5, 6, 7, 8, 9} - {2, 3, 5, 7}

Performing the set difference operation, we remove the elements in set K from the universal set U:

K' = {1, 4, 6, 8, 9}

These are the positive integers less than 10 that are not prime numbers.

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Step-by-step explanation:

I hope this answer is helpful ):

Answer:

5, 9,13,17

Step-by-step explanation:

5 +4 +4+4

Answer:

Im pretty sure just one

x= -20

Step-by-step explanation:

Answ

n-11 ≤ 19

or 11-n ≤ 19

Step-by-step explanation:

Mrk ME BRAINLIEST PLZZZZZZZZZZZZ

Answer:

The given parameters are;

\(\overline{PS}\) ≅ \(\overline{PT}\), ∠PRS ≅ ∠PRT

To prove that ΔPRS ≅ ΔPRT

A two column proof is given as follows;

Statement                 \({}\)                   Reason

∠PRS and  ∠PRT are ≅   \({}\)            Given

∠PRS and ∠PRT are     \({}\)               ∡ that form a linear pair are supplementary

supplementary angles

∠PRS and ∠PRT are right ∡   \({}\)  Two ≅ and supplementary angles are right ∡

ΔPRS and ΔPRT are right Δ   \({}\)  Triangle with one angle = 90°

\(\overline {PS}\) ≅ \(\overline {PT}\)                \({}\)                    Given

\(\overline {PR}\) ≅ \(\overline {PR}\)                \({}\)                    Reflective property

ΔPRS ≅ ΔPRT             \({}\)               By hypotenuse leg postulate.

Step-by-step explanation:

The given parameters are;

\(\overline{PS}\) ≅ \(\overline{PT}\), ∠PRS ≅ ∠PRT

To prove that ΔPRS ≅ ΔPRT

A two column proof is given as follows;

Statement                 \({}\)                                              Reason

∠PRS and  ∠PRT are congruent        \({}\)                   Given

2) ∠PRS and ∠PRT are supplementary angles by angles that form a linear pair are supplementary

3) ∠PRS and ∠PRT are right angles by   \({}\)  Two congruent angles which are also supplementary (sum up to 180°) are two 90° angles

4) ΔPRS and ΔPRT are right triangles   \({}\)  Triangle with one angle = 90°

\(\overline {PS}\) ≅ \(\overline {PT}\)                \({}\)                    Given

\(\overline {PR}\) ≅ \(\overline {PR}\)                \({}\)                    Reflective property

ΔPRS ≅ ΔPRT             \({}\)               By hypotenuse leg postulate for the congruency of two right triangles.

Answer:

Surface area of the figure = 1000 in²

Step-by-step explanation:

From the figure attached,

Two rectangular prisms A and B have been shown with the dimensions.

Surface area of a rectangular prism = 2(length + width) × height

Surface area of prism A = 2(9 + 10) × 20

                                        = 760 in²

Surface area of prism B = 2(15 + 10) × 8

                                        = 16×25

                                        = 400 in²

But one surface of prism B along the width and the same area of prism A are hidden.

Area of the hidden surfaces = 2(10 × 8)

                                               = 160 in²

Total surface area of the figure = 760 + 400 - 160

                                                    = 1000 in²

The expected value for this raffle According to probability is $50.

According to the statement

we have given that the the amount of ticket is $1 and you have a 1 out of 100 chance of winning $50. And we have to find the expected value for this raffle.

So, For this purpose, we know that the

In probability , the expected value is a average. Informally, the expected value is the arithmetic mean of a large number of selected outcomes of a random variable.

And

Here the chances of winning the raffle is $50

And we know that the expected value of the raffle is a chances of not winning the raffle.

So, According to this

The expected value for this raffle = chances of winning - Total chances

The expected value for this raffle = 50 - 100

The expected value for this raffle = -50$

So, The expected value for this raffle According to probability is $50.

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TRUE. We can observe n coin flips, record each heads as 1, and each tails as 0. Then, sum up all of our 1s and 0s, divide by n (in other words, we calculate the sample mean), and we have just calculated the sample proportion p-hat. This is a method used to find the probability of an event.

The sample proportion is known as p-hat. The proportion of successes in the sample is denoted by the p-hat symbol. The sample proportion is a statistic that estimates the actual proportion of the population. The proportion of successes in a sample is referred to as the sample proportion.

When sample proportion represents a percentage, it is indicated as a percentage (x%). So, sample proportion p-hat is a statistical term that provides us with an estimate of the actual proportion of the population from the sample proportion.

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As used in line 68, the phrase "Another possiblecandidate" implies that scientists know of other volcanoes that eruptedduring the Middle Ages.

What are volcanoes ?

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Answer: (k - 1) (9k^2 + 1)

Answer:

.....................................

-10.27 is the value of x in  equation \(e^{\frac{x}{5} + 4}\) = 7 solved by  using natural logarithms

We have been asked to find x in  \(e^{\frac{x}{5} + 4}\) = 7 using natural logarithms

⇒   \(e^{\frac{x}{5} + 4}\) = 7

⇒ \(\frac{x}{5}\) + 4 = ㏑(7)

⇒  \(\frac{x}{5}\) = ㏑(7) - 4

⇒ x = ㏑(16807) - 20

       = -10.27

A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Typically, the natural logarithm of x is denoted by the symbols ln x, loge x, or, if the base e is implicit, just log x. When adding parentheses for clarity, the values ln(x), loge(x), or log (x). In order to avoid ambiguity, this is notably done when the argument to the logarithm is not a single symbol.

The power to which e would need to be raised in order to equal x is the natural logarithm of x.

For instance, e2.0149... = 7.5, thus ln 7.5 equals 2.0149.

Since e1 = e, the natural logarithm of e itself, or ln e, is equal to 1, while the natural logarithm of 1 is 0, since e0 = 1.

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Use natural logarithms to solve each equation.

\(e^{\frac{x}{5} + 4}\) = 7

1. The expression for the area of the tree farm is given as follows: A = 3x² + 42x.

2. When x = 2, the area is given as follows: 96 ft².

3. The new width is of: x - 14 ft.

The area of a rectangle is obtained with the multiplication of it's dimensions, as follows:

Area = length x width.

The dimensions for this problem are given as follows:

Hence the expression is given as follows:

Area = (x + 14)(3x)

Area = 3x² + 42x.

Then the numeric value of the area when x = 2 is given as follows:

Area = 3(2)² + 42(2) = 96 ft².

For item 3, we have that the width is obtained as follows:

x² - 196 = (x + 14) x Width.

With the subtraction of perfect squares, we have that:

Width = x - 14.

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\(5 \times 10 + \frac{7 + 10}{2} \times 4 = 50 + 17 \times 2 = 50 + 34 = 84\)

Answer:

i believe the area is 92

Step-by-step explanation:

Part A: annual gross salary =  $51,200. Part B:  income tax= $46,080

Part C: annual income, after tax reduction =  $46,080.

Part D: fortnightly net income  $126.24 per day.

Before taxes, benefits, and other wage garnishments are taken out of an employee's paycheck, that amount is known as their gross pay. Net pay, often known as take-home pay, is the amount that is left after all withholdings have been taken into account.

Given data:

Earning from shop clerk - $50,000 per year.

Earning from gardening - $1,200 per year.

Part A: annual gross salary.

annual gross salary =  $50,000 +  $1,200

annual gross salary =  $51,200

Part B:  income tax.

income tax = 10% of gross income

income tax = 0.10 * 51,200

income tax = $5,120

Part C: annual income, after tax reduction:

Net income = Gross income - tax

Net income = 51,200 - 5,120

Net income = $46,080

Part D: fortnightly net income:

fortnightly net income = Total net income / 365 days

fortnightly net income = $46,080 / 365

fortnightly net income = $126.24 per day.

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Complete question:

Carlos earns $50 000 each year as a shop clerk and an extra $1200 each year for gardening on the weekend. Tax applied is 10% on gross income.

A, calculate his annual gross salary

B, use his gross salary to find his income tax

C, what is his annual income, after tax

D what is his fortnightly net income, to the nearest cent after tax?

Answer:

≈ 197 students

Step-by-step explanation:

Let's start by writing what we know.

150 students sampled

68 prefer soccer

59 prefer basketball

23 prefer swimming

Part A

If 59 students prefer basketball out of the 150 students sampled then we divide 59/150 in order to get the percentage of students that prefer basketball.

59/150 ≈ 39.33%       Remember this is only a sample of the students so it is approximate.

Now that we have the percentage, we can multiply it by the entire student body to get an approximate number of all students that prefer basketball.

39.33% = .3933

.3933 * 500 = 196.66  ≈ 197 students   (because we can't have a partial student we round up)

The best approximation of the number of students in the school who prefer basketball is 197.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The results from a random sample of 150 students' after-school activities at a school are shown.

68 students prefer soccer. 59 students prefer basketball. 23 students prefer swimming.

The percentage of students who prefer soccer will be

\(\rightarrow \dfrac{68}{150} = \dfrac{34}{75}\)

The percentage of students who prefer basketball will be

\(\rightarrow \dfrac{59}{150}\)

The percentage of students who prefer swimming will be

\(\rightarrow \dfrac{23}{150}\)

If there are a total of 500 students in the school. Then the best approximation for how many students in the school prefer basketball will be

\(\rightarrow \dfrac{59}{150} \times 500 = 196.667 \approx 197\)

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Answer: 46

Step-by-step explanation:

The angles add to form a straight angle, so x+99+35=180. It follows that x=46.

As a decimal rounded to the nearest thousandth, the probability is approximately 0.111. So, P(number that is divisible by 4, number that is divisible by 4) = 0.111

To determine the theoretical probability of rolling a number that is divisible by 4 two times in a row, we can first find the probability of rolling a number divisible by 4 in a single roll, and then square it.

In a single roll of a standard six-sided die, there are 2 numbers that are divisible by 4 (4 and 8). Since there are 6 possible outcomes in each roll, the probability of rolling a number divisible by 4 is 2/6, which simplifies to 1/3.

Now, to find the probability of rolling a number divisible by 4 two times in a row, we can square the probability from a single roll: (1/3) * (1/3) = 1/9.

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By the use of arithmethic, the final temperature in Sudbury is - 1 °C.

In this problem we know that initial temperature and two consecutive changes in time. A temperature rise represents a positive change, whereas a temperature fall represents a negative change, then the final temperature is equal to sum of the initial temperature and its two changes:

T = T' + ΔT₁ + ΔT₂

T = 4 °C + 5 °C - 10 °C

T = 9 °C - 10 °C

T = - 1 °C

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Answer:

129.6

Step-by-step explanation:

Answer:

the  mean and standard error of the mean are 200 and 2 respectively.

Step-by-step explanation:

Given that ;

the sample size n = 81

population mean μ = 200

standard deviation of the infinite population σ = 18

A population  is the whole set of values, or individuals you are interested in, from an experimental study.

The value of population characteristics such as the  Population mean (μ), standard deviation (σ) are said to be known as the population distribution.

From the given information above;

The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.

i.e

\(\mu = \bar \mu_x\) = 200

∴ The mean = 200

and the standard error of the mean can be determined via the relation:

\(\mathbf{standard \ error \ of \ mean = \dfrac{\sigma}{\sqrt {n}}}\)

\(\mathbf{standard \ error \ of \ mean = \dfrac{18}{\sqrt {81}}}\)

\(\mathbf{standard \ error \ of \ mean = \dfrac{18}{9}}\)

\(\mathbf{standard \ error \ of \ mean =2}\)

Therefore ; the  mean and standard error of the mean are 200 and 2 respectively.

Answer: 150 million km

Step-by-step explanation:

From the question, we are informed that the average distance of Venus from the sun is 108 million km which is about 42 million km less than the average distance from the sun to earth.

Therefore, the Earths average distance D from the sun will be calculated as:

= 108 + 42

= 150 million km

The relative frequency for Pooja, Melissa, Ernesto, and Dalia is 0.33,  for Salma and Olga is 0.66, and for Pedro and Divya is 0.

The relative frequency describes through a percentage (0% to 100%) or an equivalent, the frequency of an event. Here are some examples:

To find relative frequency simply use this formula

Let's use this formula to calculate the frequency of classes failed by each child.

1/ 3 = 0.33

1/3 = 0.3

2/3 = 0.66

0/ 3 = 0

1/3 =0.33

1/3 = 0.33

2/3 = 0.66

0 /3 = 0

Finally, create the bar graph using the information.

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Answer:

\($\frac{1}{1029} $\)

Step-by-step explanation:

\($\frac{\sqrt[3]{343^{-3}}}{\sqrt[4]{81} } $\)

\($\boxed{\text{Property: } a^{-b}=\frac{1}{a^{b}}} $\)

\($\frac{\sqrt[3]{\frac{1}{343^{3}} }}{\sqrt[4]{81} } $\)

\($\frac{\frac{\sqrt[3]{1} }{\sqrt[3]{343^3} } }{\sqrt[4]{81} } $\)

\($\frac{\frac{1 }{343} }{3} $\)

\($\frac{342 \cdot \frac{1 }{343} }{343 \cdot 3} $\)

\($\frac{1}{1029} $\)

The cost of the shirt, in dollars, after the 30% discount is $17.50.

What is discount?

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. Discounts can be offered for a variety of reasons, such as to attract customers, increase sales, or clear out inventory. Discounts can be expressed as a percentage or a fixed amount, and they can be applied at the time of purchase or deducted from an invoice or bill. Discounts are often used in sales promotions, marketing campaigns, and loyalty programs to incentivize customers to buy or use a product or service.

If a store is offering a 30% discount on shirts that cost $25 originally, then the discount amount is:

30% of $25 = 0.30 x $25 = $7.50

The discount amount is $7.50, so the new price of the shirt after the discount is:

$25 - $7.50 = $17.50

Therefore, the cost of the shirt, in dollars, after the 30% discount is $17.50.

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Answer:

option A is correct. this graph is a linear function

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept

Answer:

C.

Step-by-step explanation:

It is not a function at all because it does not have necessary properties of a function, it is just a graph