What is the meaning of "\(\varnothing =\left \{ u:u\neq u \right \}\)"?

Answer:

7

Step-by-step explanation:

7²÷3²-2 = 49/9-2 =49/7 =7

The matrix operation add -4(row 1) to row 3 is\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\4&-1&6&-8\end{array}\right]\)

From the question, we understand that

We are to add -4(row 1) to row 3

This means that

row 3 = row 3 - 4 * row 1

When these values are evaluated, we have

4: 4 - 4 * 1 = 0

-1: -1 - 4 * 2 = -9

6: 6 - 4 * 1 = 2

-8: -8 - 4 * -5 = 12

This means that we relace 4, -1, 6, and -8 in row 3 with 0, -9, 2 and 12

Using the above as a guide, we have the following:

\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)

Hence, the result of the matrix expression is \(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)

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Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Answer:

The red arrow shows the resultant vector. We have a Side Angle Side triangle ABC so can use The Cosine Rule:

a2=b2+c2−2bccosA

This becomes:

R2=7002+402−(2×700×40×cos45)

R2=491,600−39,597.9

R=672.3xkm/hr

This is the groundspeed of the aircraft.

To find θ we can use The Sine Rule:

sinCc=sinAa

This becomes:

sinθ40=sin45672.3

sinθ=0.04207

θ=2.41∘

This is known as the drift angle and is the correction the pilot should apply to remain on course.

The heading is the direction the aircraft's nose is pointing which is 000∘.

The track is the actual direction over the ground which is 357.6∘

An alternative method to this would be to separate each vector into vertical and horizontal components and add.

The resultant can be found using Pythagoras.

Answer:

18

Step-by-step explanation:

you will use multiplication

3(packages of pencils)×6(pencils)=18pencils

so she will need 18 erasers for each pencil

Answer:

21670

Step-by-step explanation:

3 which is after 7 on the ten column is not up to or more than 5

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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After answering the provided question, we can state that As a result, 145.62 square feet of glass are required to cover the entire pyramid.

A pyramid is a polygon formed by connecting points known as bases and polygonal vertices. For each hace and vertex, a triangle known as a face is formed. A cone with a polygonal shape. A pyramid with a floor and n pyramids has n+1 vertices, n+1 vertices, and 2n edges. Every pyramid is dual in nature. A pyramid contains three dimensions. A pyramid is made up of a flat tri face and a polygonal base that come together at a single point known as the vertex. A pyramid is formed by connecting the base and peak. The base's edges form triangle faces known as sides that connect to the top.

To determine how much glass is required to cover the entire pyramid, we must first determine the total surface area of the pyramid, including the base.

The formula for calculating the surface area of each triangular face is:

(1/2) x width x height

27.31 square feet = (1/2) x 7 feet x 7.79 feet

24 square feet = (1/2) x 6 feet x 8 feet

Simply multiply the length and width to find the area of the rectangular base:

7 feet by 6 feet equals 42 square feet

As a result, the total surface area of the pyramid is:

145.62 square feet = 2 (27.31 square feet) + 2 (24 square feet) + 42 square feet

As a result, 145.62 square feet of glass are required to cover the entire pyramid.

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Answer: 102.53

Step-by-step explanation:  I calculated all the numbers you gave me and then added them to get 102.53

Answer:2

Step-by-step explanation:

So they are both equal right. They gave us what a is which was 2 so that means b must be 2 as well.

Hope I helped

Answer:

2

Step-by-step explanation:

The slope of line b is also 2 as they are parallel to eachother and parallel lines have equal slopes.

Answer:

\(P(X=0)=(2C0)(0.84)^0 (1-0.84)^{2-0}=0.0256\)

And replacing we got:

\( P(X \geq 1)=1 -P(X<1) = 1-P(X=0)=1-0.0256=0.9744\)

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

\(X \sim Binom(n=2, p=1-0.16=0.84)\)

The probability mass function for the Binomial distribution is given as:

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)

Where (nCx) means combinatory and it's given by this formula:

\(nCx=\frac{n!}{(n-x)! x!}\)

And we can find this probability:

\( P(X \geq 1)\)

And we can solve this probability like this:

\( P(X \geq 1)=1 -P(X<1) = 1-P(X=0)\)

And if we use the probability mass function we got:

\(P(X=0)=(2C0)(0.84)^0 (1-0.84)^{2-0}=0.0256\)

And replacing we got:

\( P(X \geq 1)=1 -P(X<1) = 1-P(X=0)=1-0.0256=0.9744\)

The effect that will removing all outliers have on the mean and median of the data set is; C. median will remain unchanged and the mean will increase.

What are mean and median?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

The Median represents the middle value of the given data when arranged in a particular order.

WE have been given boxplot that displays the average number of apple pies consumed in eating contests across a particular state.

The higher outlier is from a professional,the heavyweight contest, and the lower outlier is from a children's eating contest.

The effect that will removing all outliers have on the mean and median of the data set is; C. median will remain unchanged and the mean will increase.

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Answer:

Tim has read more he has read 9 of the books and she has only read 8

Answer: Nisha

Step-by-step explanation: because if you divided 8 and 9 it will be bigger than 9 and 10

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

\(p > 5\)

Step-by-step explanation:

\(2(p + 1) > 7 + p \\ expanding \: the \: bracket \\ 2p + 2 > 7 + p \\ collect \: like \: terms \\ 2p - p > 7 - 2 \\ p > 5\)

I hope this helps

Answer:

A

Step-by-step explanation:

the first one in the picture

Answer:

40000, 20000

Step-by-step explanation:

Let the amount a grandchild receives be \(x\). Then, the amount a child receives is \(2x\).

Thus, \(220000=2(2x)+7x=11x \implies x=20000\).

This means each grandchild gets $20,000 and each child gets $40,000.

The required value of h, representing the height of the three-dimensional rectangle, is 12.

The diagonal of a three-dimensional rectangle is defined by the equation d² = x² + y² + h². To solve for h, we can rearrange the equation as follows:

h² = d² - x² - y²

Given the values d = 13, x = 3, and y = 4, we can substitute them into the equation:

h² = 13² - 3² - 4²

h² = 169 - 9 - 16

h² = 144

Taking the square root of both sides, we find:

h = 12

Therefore, the value of h, representing the height of the three-dimensional rectangle, is 12.

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Answer:

In mathematics, we call multiplying a number by itself “squaring” the number. We call the result of squaring a whole number a square or a perfect square. A perfect square is any number that can be written as a whole number raised to the power of 2. For example, 9 is a perfect square.

Step-by-step explanation:

Answer:

3a/6b

Step-by-step explanation:

-5a/18b cannot be simplified. Therefore, 3a/6b and -5a/18b are not the same.

3a/6b can be simplified. Both the denominator and the numerator can be divided by 2. Therefore, the fraction will be a/2b. a/2b is equal to a/2b so 3a/6b is the correct answer.

If this helps please mark as brainliest

Answer:

B

Step-by-step explanation:

a*3=3a

2b*3=6b

Answer:

Step-by-step explanation:

As we know that from a theorem,

A greater angle of a triangle is opposite a greater side. Let ABC be a triangle in which angle ABC is greater than angle BCA; then side AC is also greater than side AB. For if it is not greater, then AC is either equal to AB or less.

As we have  angle A =120 so it means the other 2 angles will be less than angle A , hence the opposite side to angle A is BC ,

Hence BC line is the longest line in triangle ABC

Case : BC is the longest side

#Remember that the total degree of triangle is 180°

#If A° = 120° so B° + C° = 180°-120°

B° + C° = 60°

#From here, you already know that even the total of both of B and C is less than 120° which is the degree of A.

#If you are gonna find the length of BC, then you need to use trigonometry which will be

BC/sinA = AB/sinB = AC/sinC

#so, from here you can know that BC will be the longest one, because bigger the value, in sin, will be smaller the value

The spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.

An average is a single number taken as representative of a list of numbers, generally the sum of the numbers divided by how many numbers are in the list (the arithmetic mean).

The formula to calculate the average of given numbers is equal to the sum of all the values divided by the total number of values. Average = Sum of Values / Number of Values.

So, in this case:

Values: 25, 50, 75

Number of Values: 3

Thus, the average:

Sum of Values / Number of Values = (25 + 50 + 75) / 3 = 50

Hence, the spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.

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Answer:

Please find attached pdf

Step-by-step explanation:

Answer: 65.1 (mg)

Step-by-step explanation:

\(y=190*e^{-a*t}\\\\Calculate\ a:\\\\t=33,y=95(mg)\\\\190*e^{-a*33}=95\\\\e^{-a*33}=0.5\\\\-a*33=ln(0.5)\\\\a=\dfrac{ln(\dfrac{1}{2}) }{-33} \\\\a=0,02100... \approx{0.021}\\\\If\ t=51\ h, y=190*e^{-0.02100*51}=65.09167...\approx{65.1}\)

The distance of the straight line is √17 miles and the angle formed is

75.96°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A bus drives 1 mile west and 4 miles north.

Let, The distance the bus travels along the west be adjacent and the distance traveled in the north be the height.

So, By Pythagoras' theorem,

The straight line distance = √(1² + 4²).

= √(1 + 16) miles.

= √17 miles.

Now, We know tan = opposite/adjacent.

tan = 4/1.

tan⁻¹(4/1) = Ф.

Ф = 75.96°.

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Answer:

0.3

Step-by-step explanation:

3/5x1/2=3/10 = 0.33333

Answer:

2.75

Step-by-step explanation:

Answer:

Parag will have Rs. 44,68,802 in his account if he retires 26 years from today. This can be calculated by using the formula A = P (1+r)n, where A is the future value of the investment, P is the present value, r is the interest rate, and n is the number of years until retirement. In this case, P = 10,50,000, r = 12%, and n = 26, so A = 10,50,000 (1+0.12)26 = Rs. 44,68,802.

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

552,299

500,000

 50,000

500,000 is 10 times greater than 50,000

50,000 is 10 times less than 500,000

Step-by-step explanation: