1. أوجد احداثيي كل نقطة من النقط E,a,b,c,d,
حيث :
Oc=0A+ob

OB=2j
OE = 2AC ، OD = - 2i+3
2. عين مركبات كل شعاع من الأشعة التالية: 3BC+AB, AB+-3BC​

Thus, the domain and range of the given function using the method of graphing is obtained as: domain = [1, ∞) and Range : [3, ∞).

The given function is-

y = √(x -1)  - 3

Plotting the graph of the equation using the graphing tool.

From the graph it is clear that, the curve starts from (1, -3) and goes along the positive x-axis and y-axis.

Thus, the domain and range of the given function using the method of graphing is obtained as:

domain = [1, ∞)

Range : [3, ∞)

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A- a+b-c²

=2+(-1-1)^2

=1-1

=0

B-a³-b+c

2^3-(-1+1)

=8+1+1

= 10

C-a-b-c

2-(-1-1)

=2+1-1

=2

Answer:

4^-1 = 0.25

Step-by-step explanation:

Answer:

(a) Since Zul's password consists of 4 digits and the first three digits are 970, there is only one possible digit for the fourth digit. Thus, the probability to unlock the screen in one attempt is 1/10.

(b) If there are three 1s in the password, there is only one possible arrangement for the other digit. There are four places where the other digit can be placed, so there are four possible passwords. Thus, the probability to unlock the screen in one attempt is 4/10^4, which simplifies to 1/2500.

(c) If the last two digits are 00, there is only one possible arrangement for the first two digits. There are ten possible digits for the third digit and one possible digit for the fourth digit. Thus, the probability to unlock the screen in one attempt is 1/(101010*1), which simplifies to 1/1000.

Answer:

Step-by-step explanation:300 mStep-by-step explanation:20 meters per minute. 15 minutes it dives. 20x15 is 300

Answer:

F  ( 4 (   \(\frac{x}{9}\)  ) +9  ) =  \(\frac{16x}{9}\) +  36

Step-by-step explanation:

Answer:

8 red haired and 42 brown haired

Step-by-step explanation:

I chose a random number to start off with (which is 8) and I multiplied it by 5.

8•5=40 and then you have to add 2, so you get 42.

42+8 = 50

The equation would be (5x+2)+x where 'x' is the number of people with red hair.

Answer:

I will answer in English.

This can be translated to:

"Camila bought two books to read this vacation.  One is science fiction and the other is a novel.  If she finishes both books, she will have read 450 pages on vacation. The novel is known to have 60 pages  more than the science fiction book. Denoting by x  the number of pages in the fiction book and by y the number  pages of the novel book, it is possible to describe  a linear system with two equations involving x and  y with this information. "

First, the datat that we have is:

x + y = 450.

x + 60 = y.

Then we can isolate y in both equations, and have two linear equations:

y = 450 - x

y = x + 60.

Now we can graph those lines, and find the image bellow.

The point where the lines intersect is the solution of the system

We also can find the solution of the system as follows:

y = 450 - x = x + 60

then we can solve this for x.

450 - x = x + 60

2x = 450 - 60 = 390

x = 390/2 = 195

and we know that:

y = x + 60 = 195 + 60 = 255

Then: The science fiction book has 195 pages, and the novel has 255 pages.

A solução para os problemas levantados é:

1. O sistema linear com duas equações envolvendo as informações fornecidas é:

2. O gráfico que descreve este sistema no plano cartesiano pode ser encontrado como uma imagem anexa.

Obtenção e resolução do sistema de equações.

Levando em consideração que as variáveis ​​atribuídas são:  

A primeira frase menciona que se Camila terminar de ler os dois livros, ela terá lido 450 páginas, portanto, sabemos que a soma das páginas dos dois livros dará um total de 450, e na hora de escrever a equação:

Por outro lado, o depoimento diz que o livro de romance tem 60 páginas a mais que o livro de ficção, ou seja, o livro de ficção mais 60 páginas seria igual ao livro de romance, portanto, a equação seria:

Agora, você pode resolver o sistema de equações para ver o valor de x, substituindo a segunda equação na primeira:

Agora está calculado e com a segunda equação:

Desta forma, você pode ver que o livro de ficção científica tem 195 páginas, enquanto o romance tem 255 páginas.

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The first five coefficients of an and bn are as follows: an bn1 0.015752 -0.00083 0.002234 -0.000255 0.00063

The given function is

I(t)=−(1/10)​e−50t+0.1.

The task is to determine the average value (a0​) using Fourier analysis and then express at least the first 5 coefficients of an​ and bn.

So, First, we have to find the Fourier series of I(t).

We can write the Fourier series of the function I(t) as follows:

Since the function I(t) is an even function, so we have only bn coefficients.

Now, we will calculate the average value of I(t).

a0​= (1/T) ∫T/2 −T/2 I(t) dt where T is the time period.

T = 2πωT=2π/50=0.1256a0​= (1/T) ∫T/2 −T/2 I(t) dt= 1/T ∫π/50 −π/50 −(1/10)​e−50t+0.1 dt= 1/T [−(1/5000)e−50t + 0.1t] [π/50,−π/50]= 0

Therefore, a0= 0.

Now, we will calculate the values of bn.

bn= (1/T) ∫T/2 −T/2 I(t) sin(nωt) dt taking T=0.1256

So, we have,bn= (1/T) ∫T/2 −T/2 I(t) sin(nωt) dt taking T=0.1256So,

we have, Now, we will calculate the first 5 coefficients of an​ and bn.

1) First coefficient of bn can be calculated by putting n = 1,So, b1= 0.01575.

2) Second coefficient of bn can be calculated by putting n = 2,So, b2= -0.0008.

3) Third coefficient of bn can be calculated by putting n = 3,So, b3= 0.00223.

4) Fourth coefficient of bn can be calculated by putting n = 4,So, b4= -0.00025.

5) Fifth coefficient of bn can be calculated by putting n = 5,So, b5= 0.00063.

Therefore, the first five coefficients of an and bn are as follows: an bn1 0.015752 -0.00083 0.002234 -0.000255 0.00063

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Answer:

(1) 8 (2) 12

Step-by-step explanation:

PEMDAS

Answer:

90minutes

Step-by-step explanation:

Let the time taken for passengers to be checked-in be t

Let the number of staff working be w;.

If the time taken for passengers to be checked-in for a flight is inversely proportional to the number of staff working then;

t = kw

when t = 30, w = 5

30 = 5k

k = 30/5

k = 6

to get t when w = 15

t = kw

t = 6(15)

t = 90minutes

Hence it will take 90minutes long

The salary of a single teacher falls into the 90th percentile at $54,912.

The z-score of a measure X in a collection with mean and standard deviation is given by:

z = (x - μ)/σ

In which,

μ is mean = $48,000

σ is standard deviation = $5,400.

This issue involves that:

Find the teacher's compensation at the 90th percentile.

When Z does indeed have a p-value of 0.9, that's the value of X. So when Z = 1.28, it is X.

1.28 = (x - 48,000)/5,400

x = 48,000 - 1.28 x 54,00

x = 54,912.

Thus, the salary of a single teacher falls into the 90th percentile at $54,912.

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The complete question is-

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $48,000 and a standard deviation of $5,400. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.) (a) Find the 90th percentile for an individual teacher's salary.

Using translation concepts, the transformation is defined by:

J. A translation of triangle XYZ to the right.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the orientation of the triangle remains the same, hence it is a translation of the triangle to the right.

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ItItItIt takes Laura  15 minutes (0.25 hours) to cycle to the post office.

a. It takes Laura  15 minutes (0.25 hours) to cycle to the post office.

b. Speed:

Speed=Distance/Time

Speed=4/0.25

Speed=16 km/hr

c.  It takes Laura  20 minutes to cycle to the post office.

d. Time

Time=20 minutes (1/3 hour)

Speed:

Speed=Distance/Time

Speed=4÷1/3

Speed=12 km/hr

Therefore It takes Laura  15 minutes (0.25 hours) to cycle to the post office.

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Answer:

C=12

Step-by-step explanation:

The interior angle of a polygon is 360.

So just add them all up.

(3c-29)+(127)+(c+43)+(c+43)+(2c+36)+(c+44)=360

Combine like terms

8c+264=360

Simplify

8c=96 .  Divide both sides by 8

C=12

Answer:

(assuming you were supposed to round)

Answer

\(168in^{2}\)

Step-by-step explanation:

SA=2(wl+hl+hw)

2·(6·2+9·2+9·6)

=168

Answer:

17s-109t

Explanation:

Given the expression

First, we open the brackets.

Next, we collect terms with s together (do same for t).

We then simplify to get:

Answer:

1. We want to write an equation in the form:

Ix - bI ≤ c

Such that the solutions are the range  −1 ≤ x ≤ 3

First, the extremes of the range are: - 1 and 3

Half of the difference between these values is:

m = (3 - (-1))/2 = (3 + 1)/2 = 4/2 = 2

Now let's go to the lower extreme, and add this value, we get:

-1 + m = -1 + 2 = 1

(if we go to the upper value and we subtract m, we get the same)

This is the mid-value of the solution interval, and we will define it as M

We now can write the absolute value inequality as:

I x - MI ≤ m

In our case, we get:

Ix - 1I ≤ 2

2.

Now we want to have the solution set given by:

x ≤ -9

x ≥ -5

In this case, we will have an equation of the form:

Ix - MI ≥ m

(before we used the symbol ≤, which means that the solutions are inside the interval, now we use the symbol ≥, which means that the solutions are outside of the interval (-9, -5) in this case).

So let's do the same than in the above case:

m = (-5) - (-9) = (-5 + 9)/2 = 4/2 = 2

M = -9 + 2 = -7

Replacing these in the absolute value inequality we got:

Ix - (-7)I ≥ 2

Ix + 7I ≥ 2

Answer:

\(f^{-1}(x)=\pm\sqrt{x+16}\)

Step-by-step explanation:

\(f(x)=x^2-16\)

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

\(y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}\)

Now, you can swap the variables again and write the function.

\(f^{-1}(x)=\pm\sqrt{x+16}\)

Answer:

no

Step-by-step explanation:

Answer:

no , they not equal they are different

Answer:

8√2

Step-by-step explanation:

Notice that this is a 45-45-90 triangle (isosceles right triangle). This type of triangle has a  property where the ratio between side lengths is x : x : x√2, where x√2 is the measure of the two equal legs and is the measure of the hypotenuse.

Since we know the measure of one of the smaller legs is 8, then we can set x in the ratio to 8 -->  8 : 8 : 8√2

Thus, the length of BC (hypotenuse) is 8√2

5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is

5/6 -1/9 =15 /18 -2/18 =13 /18.

As given,

5/ 6 - 1/9 =?/? -?/? =?/?

Convert the given terms into like terms

Least common multiple of (6,9)=18

Value of each ( ?/?)

(5/6 ) × ( 3/3) -(1/9) × (2/2)

= 15 /18 - 2/18

= 13 /18

Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to

5/6 -1/9 = 15 /18 -2/18 = 13/18.

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Answer:

5.79

Step-by-step explanation:

I think I'm not very sure tho

It's 7.723, not 5.79.

If you get your bodmas correctly, you should get 7.723.

Solution:

Do "((-4.6) - 1.9) first, which is -6.5 basically.

After that it is (-2.78) x (-2.8), which is 7.784.

After that do (2.2 - 1.8) ÷ ((-4.6) - 1.9), which is -0.061

After that 7.784 + -0.061, which makes it 7.723.

Answer:

The correct answer is option A ($1750)

The given ellipse is in the standard position at the origin, has symmetry with respect to both axes, and does not have any foci.

The given equation of the ellipse is 9x^2 + 16y^2 = 144. By comparing this equation with the standard form of an ellipse, (x^2/a^2) + (y^2/b^2) = 1, we can determine the values of a and b.

In this case, we have a^2 = 16 and b^2 = 9, so a = 4 and b = 3. Thus, the major axis is along the x-axis, with a length of 2a = 8 units, and the minor axis is along the y-axis, with a length of 2b = 6 units.

From this information, we can determine the properties of the ellipse:

Position: Since the major axis is along the x-axis, the ellipse is in the standard position with its center at the origin (0, 0).

Symmetry: The ellipse has symmetry with respect to both the x-axis and the y-axis, as it is centered at the origin.

Foci: The ellipse does not have any foci. The presence of foci is determined by the eccentricity of the ellipse, which is given by the equation e = sqrt(a^2 - b^2) / a. In this case, the eccentricity is 0, indicating a circular shape rather than an elliptical one.

In conclusion, the given ellipse is in the standard position at the origin, has symmetry with respect to both axes, and does not have any foci.

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