1. Some jobs pay a commission plus bonus at the end of the year. The bonus may
be a percent of the
7% commission on all sales. At the end salesperson's total commission. Madelyn is a of the year, she receives a bonus sales representative for a luxury home builder. She receives of 5% of her total commissions for
the year. What is Madelyn's gross pay for a
year in which she had sales totaling $412,454?

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.

We have,

The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.

Now,

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.

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complete question:

Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.

Answer:

WR ≈ 13.862

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

WR² + RT² = WT²

WR² + 12.1² = 18.4²

WR² + 146.41 = 338.56 ( subtract 146.41 from both sides )

WR² = 192.15 ( take the square root of both sides )

WR = \(\sqrt{192.15}\) ≈ 13.862 ( to the nearest thousandth )

Answer:

117

Step-by-step explanation:

By adding the percentages given: 3+16+14+18+10

you get 61%

multiply 300 by .61 or 61%

you get 183

subtract 183 from 300

you are left with 117 which is the answer

The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

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Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

the value of the test statistic for testing whether there is a linear relationship between the and the estimated number is 0.3506905

Using a correlation Coefficient calculator, the correlation Coefficient, r for the data = 0.127

The test statistic :

T = r² / √(1 - r²) / (n - 2)

Sample size, n = 10

Hence,

T = 0.127² / √(1 - 0.127²) / (10 - 2)

T = (0.016129 / 0.3506905)

T = 0.3506905

The value of the test statistic to 2 decimal places is 0.35

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None of the answer choices would result in an x-value being associated with two different y-values, the correct answer is:

e. None of the above.

what is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.

To check whether the relation is functional, we need to make sure that each x-value is associated with only one y-value.

We can see that the pairs (6,7), (-2,9), (8,8), and (-4,9) all have different x-values, and therefore are associated with different y-values. This means that the relation is currently functional.

To determine which ordered pair could not be substituted so that the relation is functional, we need to find an x-value that is associated with two different y-values.

Let's look at each of the answer choices and see if they fit this criteria:

a. (9,9): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.

b. (2,9): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.

c. (7,8): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.

d. (8,3): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.

Since none of the answer choices would result in an x-value being associated with two different y-values, the correct answer is:

e. None of the above.

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Answer:

1st and 2nd ones

Step-by-step explanation:

39 + 3(17) = 90 degrees

Supplementary angles add up to 180

Answer:

see graph...

B On a coordinate plane, a line goes through (0, 0) and (1, negative 4).

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine the graph that represents the linear equation 4x + y = 0, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

Starting with the given equation:

4x + y = 0

Subtracting 4x from both sides:

y = -4x

Now we have the equation in the form y = mx + b, where m = -4 (the coefficient of x) and b = 0.

Looking at the given graphs:

Graph A: The line goes through (0, 0) and (1, 4). This graph does not represent the equation y = -4x, as the slope is 4, not -4.

Graph B: The line goes through (0, 0) and (1, -4). This graph does represent the equation y = -4x, as it has a slope of -4 and passes through the origin.

Graph C: The line goes through (0, 0) and (4, -1). This graph does not represent the equation y = -4x, as it does not have the correct slope.

Graph D: The line goes through (0, 0) and (4, 1). This graph does not represent the equation y = -4x, as it does not have the correct slope.

Therefore, the best graph that represents the linear equation 4x + y = 0 is:

b. Graph B

y=55x is the expression for the amount of money obtained from the sale of x units of product.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.

Here,

Let sale of x units of product.

y=55x

The expression for the amount of money received from sale of x units of product is y=55x.

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An equation is formed of two equal expressions. The number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Jamison needs a total of $395 to buy a new bike but he has only $35 saved. Also, He earns $15 each week delivering newspapers.

Now, the equation that can represent the situation can be written as,

Cost of the bike = Amount Saved + Earning by delivering newspapers

Substituting the values,

$395 = $35 + $15x

where x is the number of weeks for Which Jamison needs to work in order to purchase the new bike. Therefore, solving the equation for x,

395 = 35 + 15x

395 - 35 = 15x

360 = 15x

x = 360 / 15

x = 24

Hence, the number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

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Answer: all integers

Step-by-step explanation:

\(A \cup B\) denotes the union of the two sets, and is thus the set of all integers.

Answer:

D, 1.50(18)

Step-by-step explanation:

just guessing lol

AAnswer:

Las Letras A B C , en matematicas el valor puede variar ; ya que ya depende del valor que se le otorge o ya si es una operacion , pues el valor que se obtiene , es decir las letras en matematicas no tiene o poseen un valor fijo

Step-by-step explanation:

The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.

Let's assume the length of the rectangle is 'l' and the width is 'w'.

From the given data, we know that each gate is 4 m wide.

Therefore, the width of the rectangle is:

Width = w + (4 m + 4 m) = w + 8 m

The perimeter of the rectangle is:

P = 2l + 2(w + 8 m) = 2l + 2w + 16 m

Now, we need to subtract the combined length of the two gates from the perimeter:

P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m

So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

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Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

The number of Lexi is using for every bracelet and necklace include the following:

For her bracelet =329

For her necklace= 593

Addition is defined as one of the arithmetic parameters that can be used to combine various data together to arrive at a particular value.

For the family,

bracelet = 5

necklace = 9

Total jewelry made = 14

total number of beads used = 922 beads

The number of beads used for bracelet;

= 5/14×922

= 4610/14

= 329

The number of beads used for necklace;

= 9/14× 922

= 8298/14

=593

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Answer:

either 4032 or 56448

Step-by-step explanation:

you have to multiply length times height times width.

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\(\bold{Ans:}\)

A balance or scale is an instrument used to measure mass.

Hope it helps.

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

6.24 x \(10^{-7}\)

Step-by-step explanation:

0.000000624 in scientific notation is 6.24 x \(10^{-7}\)

Answer:

Step-by-step explanation:

The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.

Answer:

It is B

Step-by-step explanation:

I just know :D

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer:

B. The x variable appears in the denominator.

Step-by-step explanation:

Given

\(\frac{5}{x} - y = 1\)

Required

What makes it not linear

First, make y the subject

\(y = \frac{5}{x}+1\)

A linear equation is represented as:

\(y = mx + b\)

Notice that the exponent of x in the general form is: 1

This means that x has to appear as a numerator

In \(y = \frac{5}{x}+1\), the exponent of x is -1

This means that x has to appear as a denominator

Hence, (b) is true

hi

a) m = 2

b)  m = 4

c)  n = 5

d)  n= 3

e)  m = 6

f) n = 4

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

Dear User,

Answer to your query is provided below

If you are asking How many eggs collected from chickens then that is 187eggs

Step-by-step explanation:

Dale puts the eggs into cartons to sell. Dale fills 15 cartons and has 7 eggs leftover. Each carton holds 12 eggs.

So, 15x12 = 180

Plus 7 eggs leftover

Total = 180+7 =187

Answer:

y = 90 - x

Step-by-step explanation:

x + y = 90

y = 90 - x