Find the area occupied by a triangular window of length 45 cm and height 50
cm.

Answer:10/6

Step-by-step explanation:

The statement is discussing Proposition 3.5, which provides a strategy or method for finding the subgroups of any finite group.

The strategy involves listing all the cyclic subgroups first. Then, subgroups with two generators can be found by taking the union of two cyclic subgroups and considering inverses. Subgroups with three generators can be found by taking the union of a subgroup with two generators and a cyclic subgroup, and so on.

The statement also mentions that if the group is not too large, this strategy can quickly yield all subgroups. Additionally, it suggests making use of Lagrange's theorem (Corollary 3.14) to further aid in finding the subgroups.

This process can be repeated to find all subgroups of the given finite group. The statement also suggests that using Lagrange's theorem (specifically, Corollary 3.14) can help in efficiently finding all the subgroups, especially if the group is not too large.

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What meaning of the statement this?

Proposition 3.5 provides a strategy for finding the subgroups of any given finite group. First list all cyclic subgroups. Subgroups with two generators are also generated by the union of two cyclic subgroups (which is closed under inverses). Subgroups with three generators are also generated by the union of a subgroup with two generators and a cyclic subgroup; and so forth. If the group is not too large this quickly yields all subgroups, particularly if one makes use of Lagrange's theorem (Corollary 3.14 below).

A point P on the line segment starting at A and ending at B can be parameterized by

\(p(t) = (1-t)(-2,-4) + t (6,1)\)

with \(0\le t\le1\).

If AP/PB = 3/2, then point P is 3/5 of the length of AB from A, and 2/5 of the length of AB from B. So the coordinates of P are obtained at \(t=\frac35\), and we find

\(p\left(\dfrac35\right) = \left(1-\dfrac35\right)(-2,-4) + \dfrac35 (6,1) = \boxed{\left(\dfrac{14}5, -1\right)}\)

The simplified form of the expression is \(-32\).

To simplify the expression, we can perform the calculations written below step by step:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)

We follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses:

\(\(4+6 = 10\)\).

Step 2: Perform multiplications and divisions from left to right:

\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).

Step 3: Evaluate the remaining additions and subtractions:

\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).

Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)

When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.

Finally, review the simplified expression to ensure accuracy and validity within the given context.

Note: The complete question is:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.

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The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

Answer:

B

Step-by-step explanation:

When you flip over the y-axis you the x is multiplied by -1

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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50/50 since there are 2 sides, and 1 is heads

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hope it helps

Answer:

The Svensons' assets increased by $1,800.

Step-by-step explanation:

I just took the quiz!

Answer:

its b

Step-by-step explanation:

i took the test.

ANSWER:

Separate the quotient in two terms

STEP-BY-STEP EXPLANATION:

We have the following:

Therefore, the step shown in the image is to separate the quotient in two terms

The solution of the triangle have been shown below.

To solve a triangle means to find the values of all its angles and sides. The method for solving a triangle depends on the given information.

Given that;

a/Sin A = b/SinB

Sin B = bSin A/a

B = Sin-1(bSin A/a)

B = Sin-1 (23Sin 40/17)

B = 60.4 degrees

Then we have that

C = 180 - (40 + 60.4)

= 79.4 degrees

Then;

a/sinA = c/Sin C

c= aSin C/Sin A

c = 17 * Sin 79.4/Sin 40

c =   16.71/0.643

c = 25.9

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Answer:

m=0

Step-by-step explanation:

3+3m- 2m=3(Combine 3m and -2mto get m)

3+m=3 (Subtract 3 from both sides.)

m= 3-3 (Subtract 3 from 3 to get 0.)

m=0

The selling price of the antique through an online auction website is $680.

Given that,

Kyle sold an antique through an online auction website.

The website host charges Kyle $15, plus 2.5% of the final selling price of the antique.

After selling the antique, Kyle had to pay the website host $32.

Let x be the selling price of the antique.

We get an equation,

15 + (2.5% × x) = 32

15 + 0.025x = 32

0.025x = 17

x = $680

Hence the selling price is $680.

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The parabola x = √(y - 9) opens upwards.The given parabolic equation is x = √(y - 9). Let's identify the direction of opening of this parabola.The general form of the equation of a parabola is y = a(x - h)² + k.

Comparing this to the given equation, we can see that h = 0 and k = 9. The vertex is therefore (h, k) = (0, 9). Now, let's determine whether the parabola opens upwards or downwards.

If the coefficient of (x - h)² is positive, the parabola opens upwards, and if it's negative, the parabola opens downwards. In this case, since the coefficient of (x - h)² is 1, which is positive, the parabola opens upwards.

Therefore, the parabola x = √(y - 9) opens upwards.

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Answer:

518

Step-by-step explanation:

let x be the number of people who likes the science the most.

x / 700 x 100 0.74

x = 518

Answer:

518 students

Step-by-step explanation:

74% of 700

The equation of a parabola whose vertex is (4, −3); and passes through point (5, 2) is given by y = 5(x - 4)² - 3

Equation of a parabola can be written in the form  

y = a(x - h)² + k

and the vertex is v(h, k) hence the equation can be rewritten to be

y = a(x - h)² + k

vertex (4, −3)

y = a(x - 4)² - 3

this passes through point  (5, 2) substituting to solve for a gives

y = a(x - 4)² - 3

2 = a(5 - 4)² - 3

2 = a * 1² - 3

2 + 3 = a

a = 5

a is solved to be 5, hence the equation is y = 5(x - 4)² - 3

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Answer:

Step-by-step explanation:

Your first step is to figure out which variable you want to cancel out.

Luckily, all these problems have x or y already set up to eliminate.

You can find these variables because they are opposite signs of each other, such as -x and x

Add the y's together and the #'s on the other side together, then solve to find the 2nd variable. Once you find one, you can plug that answer into the easier of the two equations and solve for the other variable.

Answer:

Step-by-step explanation:

Complete Question

The complete question is shown on the first and second uploaded image

Answer:

The  marginal density function of Y is  \(f(y)= \frac{e^{\frac{-y}{10} }}{10}\)

The distribution is exponential distribution

and the expected value is\(E[Y] = 10\)

Step-by-step explanation:

From the question we are told that the function is  

       \(f(x,y) = \frac{e^{-\frac{y}{10} }}{10y} \ \ \ 0< y <x<2y\)

Now the marginal density function of Y i.e f(y) is mathematically evaluated by obtaining the probability density function of y as follows

           \(= \int\limits^{2y}_{y} { \frac{e^{\frac{-y}{10} }}{10y} } \, dx\)

            \(= \frac{e^{\frac{-y}{10} }}{10y} * (2y - y )\)

          \(= \frac{e^{\frac{-y}{10} }}{10}\)

The distribution of the function above is exponential distribution with a rate parameter equals to  

            \(\lambda = \frac{1}{10}\)

  The mean DOT estimate E{Y} is mathematically evaluated as

           \(E[Y] = \frac{1}{\lambda}\)

    substituting value

            \(E[Y] = \frac{1}{\frac{1}{10} }\)

             \(E[Y] =10\)

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

6k^3*q^4√3k

Answer:

Renee spent 1/2 of the time she spent landscaping pulling weeds, which is 1/2 * 1/8 = 1/16 of the day. Therefore, Renee spent 1/16 of the day pulling weeds.

Answer:

There are 23 people in line at 6:00 A.M

Step-by-step explanation:

When you plug in h=1, we get 23 people

h corresponds with the time 6:00 am, as a result there are 23 people in line

The equation represents how many people will come as the hour increases.

23 represents the initial amount of people in line.

(got this from Khan academy too:))

Answer:

the answer is $153.69

a) The distance of the stone above ground level at time t :

d(t)= -4.9t² + 950

b) It takes 13.92 seconds the stone to reach the ground

c)  With 136.42 m/s velocity the stone strikes the ground.

d) If the stone is thrown downward with a speed of 8 m/s, it will take 13.13 seconds to reach the ground

Here, a  stone is dropped from the upper observation deck of a tower, 950 m above the ground.

(a)  the distance of the stone above ground level at time t would be,

d(t)  = 0.5 (-9.8) t² + v(0) t + d(0)

      = (-4.9)t² + 0t + 950

      = -4.9t² + 950

(b) Now we find the time the stone takes to reach the ground.

i.e., the value of 't' when d = 0

Substituting d(t) = 0 in the above equation.

-4.9t² + 950 = 0

t² = (-950) / (-4.9)

t² = 193.88

t = 13.92 seconds

(c) We need to find the velocity the stone takes to strike the ground

i.e., the velocity when t  = 13.92 seconds

v(t) = v(0) + gt      

v(13.92) = 0 + (9.8)(13.92)

v = 136.42 m/s

(d) here, v(0) = -8 m/s  

Velocity is negative because stone is being thrown downward.

d(t) = 0

(-4.9)t² + v(0) t + d(0) = 0

(-4.9)t² -8t + 950 = 0

Using the quadratic formula we solve above equation for,

t = -14.76, 13.13

We can disregard the negative solution

So, we get t = 13.13 seconds.

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Therefore , the solution of the given problem of angles comes out to be Greeks failed to demonstrate that tripling a square with only a straight edge and compass was also unachievable.

The highest and lowest walls of a skew are used to split the curved lines that make up its ends using Cartesian measurements. A collision between two poles at an intersection is a potential. Angle is another outcome of two things interacting. They resemble dihedral forms the most closely. A two-dimensional curve can be created by placing two line beams in various configurations between their ends.

Here,

The Greeks were unable to trisect a line section using only a straight edge and compass.

The Greeks proved that using only a straight edge and compass, it is impossible to trisect any angle or double a cube.

The Greeks failed to demonstrate that tripling a square with only a straight edge and compass was also unachievable.

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Answer:

x = -7/5

or x = -1.4

Step-by-step explanation:

2/10 - 4/5 = -3/5

-3/5 * 7 = -21/5

-21/5 ÷ 3 = -7/5