5(2x^4)^0 simplify it please

The missing sides of the special right triangles are listed below:

Case 1: y = √2 · 13, x = 13

Case 2: x = y = 15√2

Case 3: x = 6, y = 3√3

Case 4: x = 17√3, y = 17

Case 5: x = y = 10

Case 6: x = 50, y = 25

Case 7: x = y = 4√7

Case 8: x = 16√3, y = 8√3

Case 9: x = 11√3, y = 33

Case 10: x = 3√2, y = 2√6

Case 11: x = √10, y = 2√5

Case 12: x = 4√7, y = 8√21

Herein we find twelve cases of special right triangles whose missing sides must be determined by using the following rules:

45 - 90 - 45 Right triangle

r = √2 · x = √2 · y

30 - 60 - 90 Right triangle

x = (1 / 2) · r

y = (√3 / 2) · r = √3 · x

Where:

Case 1

y = √2 · 13

x = 13

Case 2

x = y = 15√2

Case 3

x = 3 / (1 / 2)

x = 6

y = 3√3

Case 4

x = 34 · (√3 / 2)

x = 17√3

y = 34 · (1 / 2)

y = 17

Case 5

x = y = 10

Case 6

x = 25√3 / (√3 / 2)

x = 50

y = 25√3 / √3

y = 25

Case 7

x = y = 2√14 · √2 = 2√28 = 4√7

Case 8

x = 24 / (√3 / 2)

x = 48 / √3

x = 16√3

y = 24 / √3

y = 8√3

Case 9

x = 22√3 · (1 / 2)

x = 11√3

y = 22√3 · (√3 / 2)

y = 33

Case 10

x = √18

x = 3√2

y = √6 / (1 / 2)

y = 2√6

Case 11

x = √10

y = √20

y = 2√5

Case 12

x = 4√21 / √3

x = 4√7

y = 4√21 / (1 / 2)

y = 8√21

To learn more on special right triangles: https://brainly.com/question/14373781

#SPJ1

To determine the exact values of the six trigonometric functions of the angle, we need to use the point (7,24) and the Pythagorean Theorem.
Step 1: Use the Pythagorean Theorem to find the hypotenuse of the right triangle formed by the point (7,24) and the origin (0,0). The hypotenuse is the distance from the origin to the point (7,24).
c^2 = a^2 + b^2
c^2 = 7^2 + 24^2
c^2 = 49 + 576
c^2 = 625
c = 25
Step 2: Use the hypotenuse and the coordinates of the point (7,24) to find the exact values of the six trigonometric functions.
sin θ = opposite/hypotenuse = 24/25
cos θ = adjacent/hypotenuse = 7/25
tan θ = opposite/adjacent = 24/7
csc θ = hypotenuse/opposite = 25/24
sec θ = hypotenuse/adjacent = 25/7
cot θ = adjacent/opposite = 7/24
The exact values of the six trigonometric functions of the angle are sin θ = 24/25, cos θ = 7/25, tan θ = 24/7, cosc θ = 25/24, sec θ = 25/7, and cot θ = 7/24.

You can learn more about trigonometric functions at: brainly.com/question/28483432

#SPJ11

The value of x from the expression given is - 5

Algebraic expressions are expressions composed of variables, terms, factors, coefficients and constants.

They are also made up of mathematical operations such as addition, subtraction, division, multiplication, etc.

Given the expression, let's find the value of x

3(x + 1) = 2(x - 1)

Expand the bracket

3x + 3 = 2x - 2

collect like terms

3x - 2x = -2 - 3

Subtract like terms

x = - 5

Thus, the value of x from the expression given is - 5

Learn more about algebraic expressions here:

https://brainly.com/question/723406

#SPJ1

The addition of the row and column shows that the number of people polled will be 166.

From the information given, the guest thing to do is to add the column. This will be:

= 48 + 118 = 166

Also, it's important to add the row. This will be:

= 69 + 97 = 166

Therefore, the number of people polled will be 166.

Learn more about column on:

https://brainly.com/question/1788884

#SPJ4

Answer:

166

Step-by-step explanation:

I got it right on edge 2022

Answer:

whats the question and ill answer in the comments

Step-by-step explanation:

if your asking for which time has the equal amount of attendee it between 7pm and 9pm if i am correct

Answer:

Army Im so sorry but your math is impossible :3

Step-by-step explanation:

The graph of the linear equation, 5x - 9y = -7, is in the attachment below.

The linear equation that models a graph can be written in  slope-intercept equation as y = mx + b. The value of the slope, which is the rise over the run of the line is represented as m, while the value of b, which is where the line intercepts the y-axis is b.

Given the linear equation, 5x - 9y = -7, rewrite in slope-intercept form:

5x - 9y = -7

-9y = -5x - 7

-9y/-9 = -5x/-9 - 7/-9

y = 5/9x + 7/9

This means the rise over the run of the line, m is 5/9, while the y-intercept of the graph, b is 7/9.

The graph is shown below.

Learn more about the graph of linear equation on:

https://brainly.com/question/4074386

#SPJ1

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

To know more about graph,

https://brainly.com/question/29467965

#SPJ11

Call the radius of the cylinder and sphere, r And the height  of the cylinder  = 2r

To learn more about Volume in Cubic Centimeters refers to:

brainly.com/question/463363

#SPJ4

It shybe noted that translation and then rotation 90⁰ clockwise (x,y) becomes (y,-x)

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative

Translation is sliding a figure in any direction without changing its size, shape or orientation. On the other hand, reflection is flipping an object across a line without changing its size or shape.

In order to rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x).

Note that an overview was given as each option was explained since your information is incomplete.

Learn more about transformations on:

https://brainly.com/question/27996647

#SPJ1

Answer:

Step-by-step explanation:

189=-6x-21x+54

189=-27x+54

189-54=-27x+54-54

135/-27=-27x/-27

x=-5

Answer:

16

Step-by-step explanation:

First, we solve for x.

\(2x+7=-21\\2x=-28\\x=-14\)

We now evaluate 2-x, plugging in -14 for x.

\(2-x\\2-(-14)\\2+14\\16\)

12.5

2x+7=-21

2x+7-7=-21-7

2x=-28

2x/2=-28/2

x=-14

2-x=?

2-(-14)

2+14=16

Hope this helped!

Answer:

(x+3)=10+2

x=12-3

x=9

Answer:

-2x-6=-10

-2x=-10+6

-2x=-4

x=-4/-2

x=2

We can drag the particles in mass/grams measurement to the corresponding descriptions as follows:

1.  1.6744 × 10⁻²⁴: Two electrons and 0ne proton

2. 5.021 × 10⁻²⁴: Two protons and one neutron

3. 5.0224 × 10⁻²⁴: One proton and two neutrons

4. 3.3484  × 10⁻²⁴: One electron, one proton, and one neutron

To match the measurements to the descriptions first note that one neutron is 1.6749 × 10⁻²⁴. One proton is equal to  1.6726 × 10⁻²⁴ and one electron is equal to  9.108 × 10⁻²⁸.

To obtain the right combinations, we have to add up the particles to arrive at the constituents. So, for the figure;

1.6744 × 10⁻²⁴, we would

Add 2 electrons and one proton

= 2(9.108 × 10⁻²⁸) + 1.6726 × 10⁻²⁴

= 1.6744 × 10⁻²⁴

The same applies to the other combinations.

Learn more about electrons and protons here:

https://brainly.com/question/1481324

#SPJ1

If an environmentalist group wishes to measure the amount of dissolved oxygen per liter of water in a local stream, then the detailed solution is down below.

A dataset's variability is quantified by its standard deviation. It is determined by taking the square root of the variance, which is the sum of the squared deviations between each value in the dataset and its mean. How far a dataset's individual values deviate from its mean is determined by its standard deviation. A low standard deviation suggests that the dataset's values are close to the mean, whereas a large standard deviation suggests that the dataset's values are widely dispersed. When comparing the spread of two or more datasets, standard deviation is frequently utilised. It is a widely used statistical measure of dispersion.

How to solve?

a. The point estimate for the average amount of dissolved oxygen is 4.62 mg.

b. The distribution to use to construct the confidence interval is student-t.

c. Provide the values A - E for this problem on the following graph.

A. The sample mean is 4.62 mg.

B. The sample standard deviation is 0.92 mg.

C. The degrees of freedom for the student-t distribution is 45 - 1 = 44.

D. The t-value for a 90% confidence interval with 44 degrees of freedom is 1.699.

E. The error bound or margin of error is 0.92 mg * 1.699 = 1.57 mg.

d. The Confidence Interval is (4.62 - 1.57, 4.62 + 1.57) = (3.05, 6.19) mg, which means the error bound (or margin of error) is 1.57 mg.

e. The interpretation of this interval is that the environmentalists are confident that the true amount of dissolved oxygen in the stream is between 3.05 mg and 6.19 mg.

To learn more about standard deviation, visit:

https://brainly.com/question/13905583

#SPJ4

we are given the following inequations:

Since both inequalities contain the term "3x + 7" we can use a single inequality of the following form:

We notice that the direction of the inequality with respect to "3x + 7" remains the same. Now, to solve for "x" we will subtract 7 from the three sides of the inequality:

Solving the operations we get:

Now we divide the three sides by 3:

Solving the operations:

We use parenthesis because the inequality does not present an equal sign.

The solution to the integral is (1/4) ln|x^4 - 5| + C, where C is the constant of integration.

To evaluate the integral ∫ (x³)/(x⁴ - 5) dx, we can use the substitution u = x⁴ - 5.

This will allow us to simplify the integral and express it in terms of u instead of x.

To make the substitution, we first find the derivative of u with respect to x:

du/dx = 4x^3

We can solve for dx in terms of du by dividing both sides by 4x³:

dx = du/(4x³)

Now we can substitute x⁴ - 5 for u and dx/(4x³) for dx in the integral:

∫ (x³)/(x⁴ - 5) dx = ∫ (1/(4(u + 5))) du

We can simplify this expression by factoring out the constant 1/4 and using the substitution v = u + 5:

∫ (x³)/(x⁴ - 5) dx = (1/4) ∫ 1/(v) dv

The integral of 1/v is ln|v|, so we can substitute back in for v and obtain:

(1/4) ln|x⁴ - 5| + C

To learn more about integral:

https://brainly.com/question/18125359#

#SPJ11

The given equation \(\(2^x - 5x + 1 = 0\)\) can be transformed into the fixed-point problem\(\(x = \frac{1}{1+c}\left(c x + \frac{2^x + 1}{5}\right)\)\) by using the iterative method.

Let's go through the steps:

1. We start with the initial guess \(\(x_0\)\) for the root of the equation.

2. The iterative formula is given by:

 \(\[x_{n+1} = \frac{1}{1+c}\left(c x_n + \frac{2^{x_n}+1}{5}\right)\]\)

  where \(n\) is the iteration number.

3. To ensure rapid convergence, we need to find a suitable value for the constant \(\(c\)\)such that the absolute value of the derivative of the function is less than 1. The derivative of the given function is:

\(\[f'(x) = \log(2) \cdot 2^x - 5\]\)

4. The condition for convergence is:

  \(\[|g'(x)| = \left|\frac{c \log(2) \cdot 2^x + \frac{c \cdot 2^x}{5}}{(1+c)^2}\right| < 1\]\)

5. We can choose a value of \(c\) through trial and error. For example, let's try \(c = 2\). This gives us the following iterative formula:

 \(\[x_{n+1} = \frac{2x_n + 2^{x_n} + 1}{15}\]\)

Therefore, by choosing \(c = 2\) and applying the iterative formula, we can ensure rapid convergence to the root of the given equation.

To know more about equation visit:

https://brainly.com/question/29538993

#SPJ11

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Answer: See below.

Good Luck! I hope this helps!

Step-by-step explanation:

1) Find the Mean of 7  18  9  22  4.

7 + 18 + 9 + 22 + 4 = 50

50 ÷ 5 = 10

2) Find the Median of 7  18  9  22  4.

4  7  9  18  22

The Median is 9.

3) Find the Mean of 7  3  7  4  8  9  2.

7 + 3 + 7 + 4 + 8 + 9 + 2 = 40

40 ÷ 7 = 5.7

4) Find the Median of 7  3  7  4  8  9  2.

2  3  4  7  7  8  9

The Median is 7.

5) Find the Mode of 7  3  7  4  8  9  2.

Mode is the number that occurs the most.

2  3  4  7  7 8  9

The Mode is 7.

6) Find the Median of 6  10  23  24  13  9  23  12.

6  9  10  12  13  22  23  24

There are 8 numbers in this set of numbers, so the Median is the average of the two numbers in the middle. So, \(\frac{(12+13)}{2} = \frac{25}{2} = 12.5\)

The Median is 12.5.

7) Find the Mean of  6  10  23  24  13  9  23  12.

6 + 10 + 23 + 24 + 13 + 9 + 23 + 12 = 120

120 ÷ 8 = 15

The Mean is 15.

8) Find the Median of 120  113  101  101  112.

101  101  112  113  120

The Median is 112.

9) Find the Mean of 73  72  72  98  99  96  98  98  73.

73 + 72 + 72 + 98 + 99 + 96 + 98 + 98 + 73 = 779

779 ÷ 9 = 86.6.

10) Find the Mode of 73  72  72  98  99  96  98  98  73.

72  72  73  73  96  98  98  98  99

The Mode is 98.

11) Find the Mode of 6  10  23  24  22  9  23  13.

6  9  10  13  22  23  23  24

The Mode is 23.

12) Find the Median of  73  72  72  98  99  96  98  98  73.

72  72  73  73  96  98  98  98  99

The Median is 96.

13) Find the Median of 12  22  26  15  18  22  29  11  22  18.

11  12  15  18  18  22  22  22  26  29

There are 10 numbers in this set of numbers, so the Median is the average of the two numbers in the middle. So, \(\frac{(18+22)}{2} = \frac{40}{2} = 20\)

The Median is 20.

Monopolists are firms that have control over the supply of a particular product or service in a market. Due to this control, they can charge higher prices than competitive firms, which can result in lower quantities sold.

One reason why a monopolist's marginal revenue is less than the sales price is due to the downward-sloping demand curve. As the monopolist increases its sales price, the quantity demanded decreases. This means that the revenue generated from each additional unit sold is lower than the revenue generated from the previous unit sold. In other words, the marginal revenue earned from each unit sold is less than the sales price. This occurs because the monopolist must lower the price of all units sold to sell additional units, which lowers the average revenue earned per unit.
To illustrate this, imagine a monopolist that sells widgets for $10 each. If the monopolist lowers the price to $9, it may sell 10 widgets, resulting in revenue of $90 ($9 x 10). However, if the monopolist maintains the $10 price and only sells 9 widgets, the revenue is $90 ($10 x 9). In this case, the marginal revenue for the 9th unit sold is $0, which is less than the sales price of $10. This is because the monopolist must lower the price of all units sold to sell the additional unit, resulting in a decrease in average revenue per unit. Overall, the monopolist's marginal revenue is less than the sales price due to the downward-sloping demand curve and the need to lower prices to sell additional units.


A monopolist, unlike firms in a competitive market, has significant market power due to the absence of competition. This allows the monopolist to control the market price of their product by adjusting the quantity supplied. When a monopolist wants to sell an additional unit, they must lower the sales price for all units, including the ones already being sold. This is because the demand curve faced by a monopolist is downward-sloping, meaning that in order to sell more units, the monopolist has to decrease the price.
Marginal revenue refers to the additional revenue gained from selling one more unit of the product. As the monopolist lowers the sales price to sell more units, two things happen: the revenue increases from the additional unit sold, but there is also a loss in revenue from the units that were sold at a higher price before the price reduction.

As a result, the marginal revenue is less than the sales price, since it takes into account not only the revenue from the additional unit sold but also the loss of revenue from lowering the price of all units. This relationship between the monopolist's pricing strategy and marginal revenue is a key factor in determining the monopolist's profit-maximizing level of output and price.

Learn more about price at : brainly.com/question/18117910

#SPJ11

Answer:

A. 11

Step-by-step explanation:

Since the angles are vertical angles (share a vertex) they are equal in measure.

160 = 10x + 50

subtract 50 from both sides

110 = 10x

divide both sides by 10

x = 11

Answer: 160

Step-by-step explanation:

first workout the multiplication sums [22 x 28 = 616]

[18 x 28 = 505] then add 2 numbers together [616 + 505 = 1120]

then divide the answer by 2 [1160 / 2 = 160

Answer:

$50.97

Step-by-step explanation:

First, we need to subtract the 15% discount from the $14.99 subscription fee. If your calculator can't subtract percentages, then you can use this formula:

\(14.99 - (14.99(0.15)) = 12.7415\)

Next, we need to take this solution and multiply it by the number of months in a year, which is twelve:

\(12.7415 (12) = 152.898\)

Including Abejide, there are three people splitting the cost of the subscription equally. Therefore, we need to divide $152.898 by three.

\(\frac{152.898}{3} = 50.966\)

Finally, we round $50.966 up to the nearest cent.

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

Read more on Functions here: https://brainly.com/question/29890699

#SPJ11

Answer:C

Step-by-step explanation:

Answer:

90° i think..........