please help, thanks :)​

The union of P and (Q n R), denoted as P u (Q n R), will contain all the elements from both sets without repetition. Thus, the final set is:

P u (Q n R) = {1, 3, 6, 7, 9, 11}

To find the set P u (Q n R), we need to first calculate the intersection of sets Q and R, and then take the union of set P with the resulting intersection.

The intersection of sets Q and R, denoted as Q n R, contains the elements that are common to both Q and R. From the given sets:

Q = {2, 6, 11}

R = {4, 6, 9, 11}

The intersection Q n R is {6, 11}, as these are the elements present in both sets Q and R.

Now, we can take the union of set P with the intersection Q n R:

P = {1, 3, 7, 9}

Q n R = {6, 11}

The union of P and (Q n R), denoted as P u (Q n R), will contain all the elements from both sets without repetition. Thus, the final set is:

P u (Q n R) = {1, 3, 6, 7, 9, 11}

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Answer:

In our ordinary division, we are clear about the division of a number by the same number. The quotient is always 1 in such case.

For example:-

Divide 4 by 4.

Here,

\( \frac{4}{4} = 1\)

Now let solve the above examples by using the laws of indices.

\( \frac{4}{4} = {4}^{1 - 1} = {4}^{0} = 1\)

Similarly,

\( \frac{ {x}^{m} }{ {x}^{m} } = {x}^{m - m} = {x}^{0} = 1\)

Thus,any base with zero index is equal to 1.

We need to tell the index of x for which x will be 1 , First of all , always remember that index of a number means power of the number or to which power it's raised to, like in 2³ , 2 is raised to 3 so 3 is the index. Also we knows an identity i.e

Let's put , m = n

\({:\implies \quad \sf \dfrac{a^m}{a^m}=a^{m-m}}\)

\({:\implies \quad \boxed{\bf{a^{0}=1}}}\)

Also , you should note that for a = 0 , the given expression becomes 0⁰ ,which is not defined , so the above expression is true only for \({\bf{a\in (-\infty,0)\cup (0,\infty)}}\)

Now , as we can replace variables , so , if we replace a by x , we get x⁰ = 1 .

Hence , the required index is 0

A "motor tic" is defined as a quick, stereotyped, coordinated movement that occurs at irregular intervals (either vocally or physically).

Motor tics are often characterized by quick, abrupt, transitory, coordinated (stereotypical) motions that can resemble gestures and mimic portions of normal activity.

As a result, although the majority of instances are modest, they can range from really mild to severe. Simple tics are quick, repetitive motions that happen suddenly and only affect a few muscle groups.

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The final velocity of the car is given as follows:

25 m/s.

The velocity function is a linear function, modeled as follows:

v(t) = v(0) + at.

In which:

The parameter values for this problem are given as follows:

v(0) = 5, a = 2.

Hence the velocity function is given as follows:

v(t) = 5 + 2t.

At a time of 10 seconds, the velocity is given as follows:

v(10) = 5 + 2(10)

v(10) = 25 m/s.

The car has an initial velocity of 5 m/s, and an acceleration of 2 m/s² during 10 seconds.

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Answer:

25 + 9^3

Step-by-step explanation:

Answer:

it might be 18 ❤

Step-by-step explanation:

I'm pretty sure it is 18 let me know

Answer:

29.04

Step-by-step explanation:

i tried doing it without a calculator LOLLL

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Vector v and w have lengths of 11 and contain elements of 21, 10, 32, 2, -3, 4, 5, 6, 7, 4, -22 and -18, 72, 11, -9, 10, 2, 34, -5, 18, 9, 2 respectively. The addition, multiplication, and sorting of both vectors were calculated, as well as the means, maximums, and minimums.

a) The lengths of the vectors v and w are both 11.

b) Vector v contains the elements 21, 10, 32, 2, -3, 4, 5, 6, 7, 4, -22 and vector w contains the elements -18, 72, 11, -9, 10, 2, 34, -5, 18, 9, 2.

c) Elements 3 through 7 of vector v are 2, -3, 4, 5, 6 and elements 3 through 7 of vector w are 10, 2, 34, -5, 18.

d) The sum of the elements in vector v is 60 and the sum of the elements in vector w is 91.

e) The mean of vector v is 5.454545454545455 and the mean of vector w is 8.272727272727273.

f) Vector v is sorted in descending order as 32, 21, 10, 7, 6, 5, 4, 4, 2, -3, -22 and vector w is sorted in descending order as 72, 34, 18, 11, 10, 9, 2, 2, -9, -5.

g) The addition of vectors v and w is 53, 82, 28, 2, 7, 13, 6, 8, -7, 4, -20.

h) The multiplication of vectors v and w is -378, 720, 352, -18.

i) Elements in vector v that are greater than zero are 21, 10, 32, 2, 4, 5, 6, 7, 4.

j) Elements in vector w that are less than zero are -18, -9, -5.

k) Vector v multiplied by 6 is 126, 60, 192, 12, -18, 24, 30, 36, 42, 24, -132.

l) The maximum of vector v is 32 and the minimum of vector v is -22. The maximum of vector w is 72 and the minimum of vector w is -9.

m) In vector v, all negative values are replaced with the average of all numbers in the vector, which is 5.454545454545455. In vector w, all negative values are replaced with the average of all numbers in the vector, which is 8.272727272727273.

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Answer:

=77x2−332x+135

Step-by-step explanation:

Answer:

1360 in^2

Step-by-step explanation:

Start by finding the area of the center square - 20*20=400

Next, find the area of one of the rectangular parts - 20*12=240

Multiply 240 by 4 because there are 4 of the same rectangular shapes - 240*4=960

Add 400 and 960 together to get the total area.

I hope this helps!

2,infinity

Hope this helps

Answer:[2,♾)

Step-by-step explanation:

Answer:

100cm

Step-by-step explanation:

I hope this help:)

Answer:

35 square cm

Step-by-step explanation:

Square area: 5 cm x 5 cm = 25 square cm.

Triangle area: 4 cm x 5 cm / 2 = 10 square cm.

25+10=35 square cm.

Step-by-step explanation:

Djdhdhdhdhhdhdhdhdbdndndnndnddndndndndndnd

Answer:

b) the graph is reflected in the x-axis, narrower and shifted 4 units up

There is no point that is NOT included in the graph of the step function.

The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.

To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.

The step function can be represented as follows:

For the first hour, the charge is a flat rate of $2.

For each additional hour or fraction of an hour, the charge is $1.

Let's analyze the points included in the graph:

(1, 2): This point represents the charge for the first hour, which is $2.

Now, let's consider the additional hours:

2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.

(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.

(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.

Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.

Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.

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5 × (10 + 7) = (5 × 10) + (5 ×7) whole number property is represented by

distributive property of multiplication.

As given in the question,

Given number : 5 × (10 + 7) = (5 × 10) + (5 ×7)

Here whole number 5 is first multiplied to addend 10 and then whole number 5 is multiplied to addend 7.

Then, their products are added.

This is represented by property of  Distributive Property of Multiplication.

Therefore,5 × (10 + 7) = (5 × 10) + (5 ×7) whole number property is represented by distributive property of multiplication.

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Answer:

Distributive Property of Multiplication

Step-by-step explanation:

The Distributive Property of Multiplication states that multiplying a number by a group of numbers added together is the same as multiplying each number separately:

\(\large\text{$a(b + c) = ab + ac$}\)

Therefore, applying the Distributive Property of Multiplication to the given expression:

⇒ 5 × (10 + 7) = 5(10) + 5(7)

--------------------------------------------------------------------------------------------

Here are the definitions of the other properties for information purposes:

Associative Property of Multiplication

The grouping of numbers by parentheses in a different way does not affect their product.

\(\large\text{$(a \times b) \times c = a \times (b \times c) = (a \times c) \times b$}\)

Identity Property of Multiplication

This property is also known as the identity property of one.

Multiplying any number by 1 does not change the number, i.e. the number keeps its identity.

\(\large\text{$a \times 1 = a = 1 \times a$}\)

Commutative Property of Multiplication

Changing the order or position of two numbers does not change the end result.

\(\large\text{$a \times b = b \times a$}\)

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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Answer:

Your first instinct might be to go ahead and add the x terms together, BUT this would be a bad thing to do! You cannot combine the x2 and 2x, because the first term has an exponent (2) and the second one does not have an exponent; therefore, you cannot add them together!

Step-by-step explanation:

Answer:

Not sure if you mean multiplying or adding by "combine". But generally the rule of thumb with exponents is when you are adding and they are not like terms, you cannot combine the two terms together. So in other words, they would be left as x²+x. However, when you are multiplying you can add the exponents together. So, it will be like this: x²·x = x³

Answer:

2x + 3y + 50

Step-by-step explanation:

The equation for standard form looks like:

Ax + By + C

Simply plug in the given values to their corresponding variables.

($2)x + ($3)y + $50

or

2x + 3y + 50

Answer: 3.3

x.   = 1.5

220      100

The probability of rolling a total of 9 is 1/9.

The probability of rolling a total of 10 is 1/12.

The probability of rolling a total of 11 is 1/18.

We have,

To calculate the probabilities of rolling specific totals with a pair of dice, we need to consider all possible combinations of numbers on each die.

Probability of rolling a total of 9:

There are four combinations that can result in a total of 9: (3, 6), (4, 5), (5, 4), and (6, 3).

Since each die has six sides, there are 6 * 6 = 36 equally likely outcomes when rolling two dice.

The probability of rolling a total of 9 is 4/36, which can be simplified to 1/9.

Probability of rolling a total of 10:

There are three combinations that can result in a total of 10: (4, 6), (5, 5), and (6, 4).

The probability of rolling a total of 10 is 3/36, which can be simplified to 1/12.

Probability of rolling a total of 11:

There are two combinations that can result in a total of 11: (5, 6) and (6, 5).

The probability of rolling a total of 11 is 2/36, which can be simplified to 1/18.

Thus,

The probability of rolling a total of 9 is 1/9.

The probability of rolling a total of 10 is 1/12.

The probability of rolling a total of 11 is 1/18.

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Answer:

A= 4

B=-13

Step-by-step explanation:

On solving the provided question we can say that the total interest he pay in 5 year is = $17500.

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money. The basic interest formula is as follows: Interest is equal to P, R, and T. P is the principal sum (the beginning balance). Interest rate, R (usually per year, expressed as a decimal). T = Number of intervals of time (generally one-year time periods).

Money required to borrow new car is $35,000.

and Rick pay 10% interest per year

so, interest he pay in one year = $35000 x 10% = $3500

total interest he pay in 5 year is = $17500

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Answer:

A&B

Step-by-step explanation:

Answer:

-57.6=x

Step-by-step explanation:

-22.3= x/3-3.1
-19.2=x/3
-57.6=x

9514 1404 393

Answer:

  105°

Step-by-step explanation:

The exterior angle marked "?" is equal to the sum of the remote interior angles:

  ? = 25° +80°

  ? = 105°

Answer:

0

Step-by-step explanation:

Two cases: if \(x\ge0\)

\(|x| - |-x| = x - x= 0\)

Instead if \(x<0\)

\(|x| -|-x| = -x -(-x)=-x+x=0\)

Alternatively you can try to graph both \(f(x) = |x|; g(x)=|-x|\) and checking the vertical distance between the two graphs