solve polygon angle sum​

Answer:

112

Step-by-step explanation:

Answer:

Transaction Fee

- Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.

- Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.

Non-Transaction Fee

- Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.

- Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.

- John’s broker provided him with stock-trading software to manage his trading.

Step-by-step explanation:

Got it right on plato :)

Answer:

Transaction fee:

Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.

Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.

Non-transaction fee

Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.

John’s broker provided him with stock-trading software to manage his trading.

Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.

Answer:

X = 1 week

Each will have $ 26 in 1 week

Step-by-step explanation:

Tamar: y = 15x + 11

Sister: y = 7x + 19

15x + 11 = 7x + 19

15x - 7x = 19 - 11

8x = 8

x = 8/8

15(1) + 11 = 26

Answer:

The pool is 400 square meters

Step-by-step explanation:

To figure out the are of a slanted shape such as this, we must turn it into a shape that is non-slanted, like a rectangle or square (which is a type of rectangle). For this parallelogram, we can separate the shape into three parts: the two slanted bits on the outside, and a rectangle (7*2) in the middle (or on the inside).

We can see that each slanted part can take up half of two squares, and therefore one square. From here on out, we can do this one of two ways:

1. Figure out the area of the inside rectangle, then add the two slanted parts/two squares separately

OR

2. Since each slanted area equals one square, or since each is half of two square, we can add both sides together (for 1/2 + 1/2 = 1, or in this case,        1 +1 = 2), to make a full or complete rectangle, before figuring out the area of the shape as a whole (8*2).

8*2 = 16

Each square is 1 cm squared, which is in proportion to 25 meters squared (each cm is 5 meters (1:5), so the square, which is 1 cm by 1 cm, is proportionate to 5 meters by 5 meters).

16*25 = 400

The pool is therefore 400 square meters.

Answer:

1 1 250(1.035)t

2 12 250(1.002896)12t

3 52 250(1.0006635)52t

4 365 250(1.0000938)365t

Step-by-step explanation:

From Plato

The complete details is shown below:

Interest, in its most simple form, is calculated as a percent of the principal.

Given:

r = 0.03425, and n = 365

P = 250.

                                          Table

Expression for the Amount of Money             Number of Times Interest

after t Years                                                       is Compounded per Year

                                                                                  Account

250(1.035)                                                                    1

250(1.002896)12                                                        12

250(1.0000938)365+                                               365

So,

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Answer:

7

Step-by-step explanation:

6x - 2 + 17 = 8x + 1

6x + 15 = 8x + 1

2x = 14

x = 7

Step-by-step explanation:

Question:-6x-2+17=8x+1

Answer:- 6x-2+17-8x-1=0

-2x+14=0

-2x=-14

x= -14/-2

x= 7

hope this helps you

have a good day :)

The matrix cannot be inverted if any eigenvalue is 0, which also means that the determinant is zero. This suggests a linear dependence between the columns of A. As a result, A is not of full rank and is not invertible.

What does "linearly dependent" mean?

A set's ability to have at least one linear combination of its components equal to zero when the coefficients are taken from another provided set and at least one of those coefficients is not equal to zero.

                  This feature applies to matrices or vectors. adjective that depends on linearity.

What does it mean to be linearly dependent?

A group of non-zero vectors is said to be linearly dependent if at least one of them can be expressed as a linear combination of the others.

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To find approximately how many seconds the rock took to reach the ground, we need to determine when the height, h(t), becomes zero.

Setting h(t) = 0 in the equation -4.9t^2 + 49 = 0, we can solve for t.

-4.9t^2 + 49 = 0

4.9t^2 = 49

t^2 = 49 / 4.9

t^2 = 10

t ≈ √10

Therefore, the rock took approximately √10 seconds to reach the ground.

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The possible values of two consecutive even integers, of which the sum of their squares is 1684, are 28 and 30 for positive integers, while for negative integers, they are  -28 and -30.

The difference between two consecutive even integers is 2.

Let the integers be a and (a+2). Then,

a² + (a + 2)² = 1684

a² + a² + 4a + 4 = 1684

2a² + 4a - 1680 = 0

a² + 2a -840 = 0

Hence, we get a quadratic equation.

There are three methods of solving a quadratic equations: by factoring, completing the square, and by using the abc formula.

Use the factoring method:

a² + 2a -840 = (a - 28) (a + 30)

a = 28  and a = -30

Hence, if the integers are positive, they are: 28 and 30.

If the integers are negative, they are -28 and -30.

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Answer:

\(y-1=\frac{1}{8}\left(x-7\right)\) is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).

Step-by-step explanation:

The endpoints:

Calculating the Midpoint M of BC:

\(\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\)

\(\left(x_1,\:y_1\right)=\left(6,\:9\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)\)

The Midpoint M of BC \(=\left(\frac{8+6}{2},\:\frac{-7+9}{2}\right)\)

                                     \(=\left(7,\:1\right)\)

Calculating the slope of BC:

\(\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(6,\:9\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)\)

\(m=\frac{-7-9}{8-6}\)

\(m=-8\)

Given a line with slope \(m\) then the slope of a

line  perpendicular to it is:

\(m_{prependicular}=-\frac{1}{m}=-\frac{1}{-8}=\frac{1}{8}\)

Equation of line using point-slope form

\(y-y_1=m\left(x-x_1\right)\)

\(y-1=\frac{1}{8}\left(x-7\right)\)        

Therefore, \(y-1=\frac{1}{8}\left(x-7\right)\) is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).                                          

Answer: Because people talk about important information

Step-by-step explanation: like a virus, information spreads like wildfire. But good news that has spread around my community is that we have a bunch of motivated people looking forward to feeding the homeless and create a homeless shelter to get back on their feet. Thanks to flyers, friends, and family enough money was raised to successfully build a homeless shelter.

The probability of at least one is a Samsung in the purchase collection of two independent LED HDTV is equal to 0.376.

Percent of all LED display manufactured by Samsung = 21%

Probability that at least one purchase is Samsung

= 1 - Probability that both purchases are not Samsung

Probability that the first purchase is not Samsung is 1 - 0.21 = 0.79.

The probability that the second purchase is also not Samsung is also 0.79.

Since the purchases are independent,

Multiply these probabilities to get the probability that both purchases are not Samsung,

P(neither is Samsung)

= 0.79 x 0.79

= 0.6241

The probability that at least one purchase is Samsung is,

P(at least one is Samsung)

= 1 - P(neither is Samsung)

= 1 - 0.6241

= 0.3759

Rounding to 3 decimal places, we get,

P(at least one is Samsung) = 0.376

Therefore, the probability that in a collection of two independent LED HDTV purchases, at least one is a Samsung is 0.376.

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Answer: 30, 60, 90

Step-by-step explanation: 30 * (1:2:3)

30+60+90 =180

Sum of all angles of a triangle is 180

Answer:

rectangle , rhombus

bsj

Answer:

Whats the question though?

Step-by-step explanation:

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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Answer:

Step-by-step explanation:

Your answer

X =0.35 p

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The first five terms of a geometric sequence are 5, 10, 20, 40, 80.

A geometric sequence is also known as Geometric Progression (GP) is a non-zero numerical series whereby each term succeeding the very first is determined by multiplying the preceding one by a fixed, non-zero value designated as the common ratio.  

It can be expressed by using the formula:

\(\mathbf{a_n = ar^{n-1}}\)

where;

Given that;

∴

The second term of the sequence is:

\(\mathbf{a_2 = 5 \times 2^{2-1}}\)

\(\mathbf{a_2 = 5 \times 2^{1}}\)

\(\mathbf{a_2 = 10}\)

The third term of the sequence is:

\(\mathbf{a_3 = 5 \times 2^{3-1}}\)

\(\mathbf{a_3 = 5 \times 2^{2}}\)

\(\mathbf{a_2 = 20}\)

The fourth term of the sequence is:

\(\mathbf{a_4 = 5 \times 2^{4-1}}\)

\(\mathbf{a_3 = 5 \times 2^{3}}\)

\(\mathbf{a_4 = 40}\)

The fifth term of the sequence is:

\(\mathbf{a_5 = 5 \times 2^{5-1}}\)

\(\mathbf{a_3 = 5 \times 2^{4}}\)

\(\mathbf{a_4 = 80}\)

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The amount tied up in AR is $69434.12

The Gross Revenue, GR = $495,958.02

From the question:

The Annual Revenue, AR = 14% of GR

AR = (14/100) x $495,958.02

AR = 0.14 x $495,958.02

AR = $69434.12

The amount tied up in AR is $69434.12

Answer:

:5 or 6km per hour is your answer.

The ladder is 13.15 feet long.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle), algebraic notation,

a² + b² = c².

Given that, A ladder is placed against the side of a house. The base of the ladder rests 2 feet from the house, and the top of the ladder meets a window sill that is 13 feet up from the ground.

The set is making a right triangle, so using Pythagoras theorem,

base² + (wall length)² = (length of ladder)²

2²+13² = (length of ladder)²

169+4 = (length of ladder)²

173 = (length of ladder)²

(length of ladder) = √173

(length of ladder) = 13.15

Hence, The ladder is 13.15 feet long.

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Answer:

the square root of 173 feet!

Answer:

Proof 2 would be correct

Step-by-step explanation:

Angle 1 and Angle 2 are congruent with the corresponding angle are congruent theorem.

Angles 1 and 3 are congruence by a congruence theorem which states alternate interior angles are congruent.

Finally, angles 2 and 3 would be congruent since 1 and 2 are congruent and 1 and 3 are congruent so therefor, 2 and 3 would also be congruent. This is called Transitive property, it states if "a = b and a = c, then b = c "

Hope this helps!

Answer:

Step-by-step explanation:

A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.

Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.

Part A: Calculation of the limit at x = 3In order to find the limit of the function, we can factorize the numerator by factoring out (x-3).  Limit \(\((x 3)\frac{(x^3 - 27)}{ (x-3)} )\)Now, factorize x³ - 27 to get the difference of cubes. The

limit equation becomes,  Limit \((x 3) \frac{ (x-3)(x² + 3x + 9)]}{(x-3)}\) Now, we can cancel out the term (x-3) from the numerator and denominator to get the limit equation as

Part B: Limit \((x 3) (x^2 + 3x + 9)\)The limit of the function at x = 3 is the value of the function as x approaches 3. By plugging in x = 3 in the equation above, we get, Limit (\((x 3) (x^2 + 3x + 9) = (3)^2 + 3(3) + 9\) = 27Part B: Equation of line through f(3) with slope = 27

The slope of the line is 27, and it passes through the point (3, f(3)). The equation of the line can be found using the point-slope form.  \(y - f(3) = 27(x - 3)\)

Part C: Simplifying the equation, we get,\(y = 27x - 78\) Part C: Graphical representation of the line and the function

The graph of the function f(x) is a parabola opening upward with a vertex at (3, 0). The slope of the line is positive, which means the line will have a positive y-intercept.

The line will intersect the y-axis at (0, -78).Both the graph of the function and the line pass through the point (3, 0). The line is tangent to the graph of the function at that point.

The slope of the line represents the instantaneous rate of change of the function at the point (3, 0). It is the same as the limit we calculated in Part A.

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we need to find the equation of the cardioid. The equation is r=1−2cosθ.

We will find the length of the outer loop of the cardioid using the integral.

This can be found by integrating the arc length formula:

∫L=∫ab√[r²+(dr/dθ)²] dθ

For the given equation, \(r=1−2cosθ\). Let's solve for

dr/dθ.dr/dθ=2sinθ

Now, let's substitute the value of dr/dθ into the arc length formula.\(∫L=∫ab√[r²+(dr/dθ)²] dθ∫L=∫0^2π√[(1−2cosθ)²+(2sinθ)²] dθ\)

Now, we will approximate the length using Simpson's Rule with 4 subintervals. Let's divide the range of integration into 4 equal subintervals.

Using the formula, we have\(∫L=h3[ f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + f(x4) ]∫L=(π/8)[ f(0) + 4f(π/2) + 2f(π) + 4f(3π/2) + f(2π) ]∫L=(π/8)[√2 + 4√(2−2cosπ/2)\) \(+ 2√(2−2cosπ) + 4√(2−2cos(3π/2)) + √2 ]∫L=(π/8)[√2 + 4√2 + 4√4 + 4√2 + √2 ]∫L=(π/8)(14√2 + 16√2 + √2)∫L=(31π/4)√2\)

The integral that represents the length of the outer loop of the cardioid is\(∫0^2π√[(1−2cosθ)²+(2sinθ)²] dθ\)

and the approximate length using Simpson's Rule with 4 subintervals is (31π/4)√2.

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The schedule of her course in 120 ways.

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.

A mathematical expression is the collection of mathematical symbols that results from the proper combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

The three different types of algebraic expressions are monomial, binomial, and polynomial.

According to the question there are five spaces for different subjects which are arranged in different order so the number of ways are

2(5,4)

= 5 * 4 * 3 *  2

=120 ways

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Answer:

Number 3.14 is rational number

Answer:Therefore, the range is 32 and the standard deviation is approximately 10.523 for the given data set.

Step-by-step explanation:To calculate the range and standard deviation for the given data set {40, 65, 33, 46, 55, 50, 61}, we can follow these steps:

Step 1: Find the range.

The range is calculated by subtracting the minimum value from the maximum value in the data set.

Range = Maximum value - Minimum value

Range = 65 - 33

Range = 32

Step 2: Calculate the mean.

The mean is calculated by summing up all the values in the data set and dividing by the total number of values.

Mean = (40 + 65 + 33 + 46 + 55 + 50 + 61) / 7

Mean = 350 / 7

Mean = 50

Step 3: Calculate the deviation for each value.

Deviation is calculated by subtracting the mean from each value in the data set.

Deviation for 40 = 40 - 50 = -10

Deviation for 65 = 65 - 50 = 15

Deviation for 33 = 33 - 50 = -17

Deviation for 46 = 46 - 50 = -4

Deviation for 55 = 55 - 50 = 5

Deviation for 50 = 50 - 50 = 0

Deviation for 61 = 61 - 50 = 11

Step 4: Square each deviation.

Squared deviation for -10 = (-10)^2 = 100

Squared deviation for 15 = 15^2 = 225

Squared deviation for -17 = (-17)^2 = 289

Squared deviation for -4 = (-4)^2 = 16

Squared deviation for 5 = 5^2 = 25

Squared deviation for 0 = 0^2 = 0

Squared deviation for 11 = 11^2 = 121

Step 5: Calculate the variance.

Variance is calculated by summing up all the squared deviations and dividing by the total number of values.

Variance = (100 + 225 + 289 + 16 + 25 + 0 + 121) / 7

Variance = 776 / 7

Variance ≈ 110.857

Step 6: Calculate the standard deviation.

The standard deviation is the square root of the variance.

Standard Deviation ≈ √110.857

Standard Deviation ≈ 10.523