what, is commercial Mathematics...​

The graph is attached below with the following paramters;

Amplitude = 2

Period = 2π

midline:  y = -2

y-intercept is (0, -2)

Function is a type of relation, or rule, that maps one input to specific single output. Linear function is that function whose graph is a straight line

Midline is the point along the vertical distance of y between the max and min values of y in the middle.

as  -1 ≤ sin(x) ≤ 1

The maximum value when sin(x) = 1 ⇒ f(x) = 2 x 1 - 2 = 0

The minimum value when sin(x) = -1 ⇒ f(x) = 2 x -1 - 2 = -4

Therefore, midline is y = -2

Here, y-intercept is when x = 0

f(0) = 2 sin(0) -2 = 0 - 2 = -2

Therefore, the y-intercept is (0, -2)

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The complete question is

Graph the function by hand using the techniques you were taught in this unit. F(x)=2sin(x)-2. Your work and explanations must demonstrate that YOU know how to graph the function.

The volume of the cylinder is 188.4m³.

It should be noted that from the diagram given, there is a cylinder. It should be noted that the volume of a cylinder is given as:

= πr²h

where,

r = radius = 4m/2 = 2m

h = height = 15m

Therefore, the volume of the cylinder will be:

=πr²h

= 3.14 × 2² × 15

= 188.4m³

Therefore, the volume of the cylinder is 188.4m³.

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The Unit Normal to the Surface cos(x. y) = e. z - 2 at (1,π,0) is -2 ≤ z ≤ 2.

Let F(x, y, z) = cos(x.y) − e.z + 2 .

A given surface is the same as the set of planes F(x, y, z) = 0.

Since the gradient vector ∇F( 1 , π, 0) is normal to this surface at (1, π, 0) , find this vector and normalize it to get the unit vector normal to this surface.

Differentiate:

∇F(x, y, z) = (−y sin(x y), −x sin(x y), e(z)

or

∇F(1, π, 0) = (0 , 0 , 1).

This vector is already of length 1, so this is sufficient. Alternatively, you can use the vector opposite. Therefore, the two vectors that satisfy the problem are ±k.  At problem point, the surface is flat horizontally.

We may want to see what this interface looks like. This is a computer-generated sketch corresponding to:

                      −4 ≤ x ≤ 4, −4 ≤ y ≤ 4, −2 ≤ z ≤ 2.

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Answer:

\((x+2)^2 + 1 \ , \ where \ a = 2 \ , \ b = 1\)

Step-by-step explanation:

\((x + 2)^2 = x^2 + 4x + 4\\\\(x+2)^2 + 1 = x^2 + 4x + 5\)

\(Therefore,\)

                \(x^2 + 4x + 5 = (x+2)^2 + 1\)

There are 37 numbers from 1 to 37, inclusive.

The probability of choosing a number that is a multiple of 3 is approximately 0.324 or 32.4%.

How to find and what is probability?

To count the number of multiples of 3, we can first find the smallest multiple of 3 that is greater than or equal to 1, which is 3.

Then we can find the largest multiple of 3 that is less than or equal to 37, which is 36. We can then count the multiples of 3 by counting in increments of 3 from 3 to 36: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36. There are 12 such numbers.

Therefore, the probability of choosing a number that is a multiple of 3 is:

P(multiple of 3) = number of multiples of 3 / total number of numbers

P(multiple of 3) = 12/37

So the probability of choosing a number that is a multiple of 3 is approximately 0.324 or 32.4%.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

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Answer:

x  ≥ -7/2

Step-by-step explanation:

3 + 2x ≥ -4

Subtract 3 from each side

3-3 + 2x ≥ -4-3

2x ≥ -7

Divide each side by 2

2x/2  ≥ -7/2

x  ≥ -7/2

Steps to solve:

3 + 2x ≥ -4

~Subtract 3 to both sides

3 - 3 + 2x ≥ -4 - 3

~Simplify

2x ≥ -7

~Divide 2 to both sides

2x/2 ≥ -7/2

~Simplify

x ≥ -3.5

Best of Luck!

Answer:

it looks dead ..............

Answer:

49.02 > 49.019

Step-by-step explanation:

It's true :)

Think of 49.02 as 49.020.

Don't you think that 49.020 > 49.019? It makes sense! :)

Answer:

<

Step-by-step explanation:

Answer:

The cylinders volume is 113.04 cubic inches

Step-by-step explanation:

The volume of a cylinder can be represented by the formula : V = π*r^2*h

So, now that we have the formula, we can simply plug in the values, and we have the volume of the cylinder.

V = π * 2^2 * 9

V = π * 4 * 9

It says to use 3.14 as π.

V = 3.14 * 4 * 9

V = 113.04

The cylinders volume is 113.04 cubic inches

Answer:

24 pieces of glass

Step-by-step explanation:

To show that (x)^0 for all x in the interval of convergence, we need to select the correct answer option among (a), (b), and (c), which provide explanations for why (x)^0 holds true.

The correct answer is (a) "(x)^0 because of explanation here and 0 for all x." However, the explanation is missing from the given options, so we cannot determine the specific reasoning behind it. In general, any non-zero number raised to the power of 0 is equal to 1. Therefore, (x)^0 is equal to 1 for all x, regardless of the specific function or expression. This is a fundamental property of exponentiation and holds true for any valid value of x within the interval of convergence.

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1) Since Chelsea earned $43.75 for walking those dogs. Let's write an equation for that, considering the more dogs she walks the more money she'll make

8.75d = 43.75 Divide both sides by 8.75

d =5

2) So Chelsea walked with 5 dogs

Answer:

its not

Step-by-step explanation:

Answer:

yeah this question i s solvable

Step-by-step explanation:

\( \frac{1}{3} (4 + 2) = - \frac{2}{5} (4 - 9)\)

\( \frac{1}{3} \times 6 = - \frac{2}{5} \times ( - 5)\)

please try ti do it on thi way

PLEASE MARK ME AS BRAINLIEST

The given set of data has a mean of 3.76 and a standard deviation of 4.97. We need to find the z-score for a value of 13.84.How to calculate the z-score The z-score is calculated using the formula:

z = (x - μ) / σWhere x is the value for which we need to find the z-score, μ is the mean, and σ is the standard deviation. Substituting the given values in the above formula, we get

z = (13.84 - 3.76) / 4.97z = 2.02 (approx) Therefore, the z-score for a value of 13.84 is approximately equal to 2.02.Note:In statistical inference, a Z-score is the number of standard deviations from the mean a data point is. With the help of Z-score, we can also find the probability that the data point would occur within the given population.

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1. After 2 days, both Adam and Brodie will have the same amount of money.

2. The number is -6.

1. Let's represent the number of days as 'x'.

Adam starts with $2 and saves $2 each day, so his total amount of money after 'x' days is 2 + 2x.

Brodie starts with $8 and spends $1 each day, so his total amount of money after 'x' days is 8 - x.

We want to find the number of days when both Adam and Brodie have the same amount of money:

2 + 2x = 8 - x

Adding 'x' to both sides, we get:

2 + 3x = 8

Subtracting 2 from both sides, we get:

3x = 6

Dividing both sides by 3, we get:

x = 2

2. Let's represent the number as 'x'.

The number increased by 8 is equal to twice the same number increased by 7:

x + 8 = 2(x + 7)

Expanding the equation, we get:

x + 8 = 2x + 14

Subtracting 'x' from both sides, we get:

8 = x + 14

Subtracting 14 from both sides, we get:

-6 = x

In the first problem, we set up equations to represent the amount of money Adam and Brodie have after 'x' days. By equating the expressions and solving for 'x', we found that it takes 2 days for both of them to have the same amount of money. Therefore, the correct answer is D. x + 8 = 2x + 7.

In the second problem, we set up an equation to represent the relationship between a number and twice that number increased by 7. By solving the equation, we found that the number is -6. Therefore, the correct answer is D. x + 8 = 2x + 7.

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Answer:

a)2.5 b)-1200

Step-by-step explanation:

a)2(-5)/4=-10/-4=5/2=2.5

b)2(-5)×(-6)×5(-4)=-10×-6×-20=-1200

Answer:

2.5, - 1200

Step-by-step explanation:

(a)

Substitute the given values into the expression

\(\frac{2a}{c}\) = \(\frac{2(-5)}{-4}\) = \(\frac{-10}{-4}\) = \(\frac{10}{4}\) = \(\frac{5}{2}\) = 2.5

(b)

2a × b × 5c

= 10abc

= 10 × - 5 × - 6 × - 4

= - 50 × 24

= - 1200

Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study.

The experimental design is the framework of any scientific experiment that outlines the different steps that will be used to conduct the research. In psychology, experiments typically involve comparing two or more groups of participants that have been assigned to different experimental conditions.Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study. If participants were allowed to choose their own group, there is a high likelihood of self-selection bias.

This is a type of bias that occurs when participants are allowed to choose their own groups. In most cases, the participants choose groups that they feel are more beneficial to them. This means that the results of the experiment may be biased towards the preferences of the participants. Random allocation of participants to different groups ensures that any differences between the groups are not due to differences in the participants' characteristics and are due to the independent variable.

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It is FALSE to state that if a researcher is interested determining if there is a relationship betweenethnicity and job type, then a Chi- Square Goodness of Fit test can be   used.

A Chi-Square Goodness of Fit test is not   appropriate for determining the relationship between ethnicity and job type.

This test is used to assess thedistribution of categorical variables within a single population or sample,   comparing observed frequencies with expected frequencies.

To examine the relationship between ethnicity and job type, a Chi-Square test of independence   or another suitable statistical test, such as logistic regression,would be more appropriate.

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Answer:

x = 15

Step-by-step explanation:

according to Altitude Theorem, we can set up this proportion:

9/RT = RT/16

RT² = 9(16)

RT² = 144

RT = \(\sqrt{144}\)

RT = 12

In right triangle STR, we can find 'x' by using the Pythagorean Theorem:

9² + 12² = x²

81 + 144 = x²

225 = x²

x = √225 = 15

Answer: \(-10 < x < 0, x > 12\)

Step-by-step explanation:

\(f(x) < g(x)\) when the graph of \(f(x)\) is below the graph of \(g(x)\).

Answer:

imma say 45m

Step-by-step explanation:

im not sure but tell me if im wrong so i can fix it. thanks

Answer:

1/y (c)

Step-by-step explanation: Don't listen to the other person he taking things but i promise you will get this right

The outer perimeter of this figure will be;

⇒ 62.84 m

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The figure is shown in image.

Now,

By the figure,

The radius of semicircle = 12/2

                                     = 6 m

Hence, The Perimeter of semicircle = πr

                                                        = 3.14 × 6

                                                        = 18.84 m

Here, The side of square = 12 m

Hence, The Perimeter of square = 12 + 12

                                                  = 2 × 12

                                                  = 24 m

Here, The hypotenuse of triangle = 10 m

Hence, The perimeter = 10 + 10

                                  = 20 m

Thus, The total outer perimeter of this figure is,

⇒ 18.84 + 24 + 20

⇒ 62.84 m

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The area of the isosceles trapezoid is 37.25 unit².

An isοsceles trapezοid is a trapezοid with cοngruent base angles and cοngruent nοn-parallel sides. A trapezοid is a quadrilateral with οnly οne side parallel.

An isοsceles trapezοid can be defined as a trapezοid whοse nοn-parallel sides and base angles have the same measure. That is, if the twο οppοsite sides (bases) οf a trapezοid are parallel and the twο nοn-parallel sides are οf equal length, it is an isοsceles trapezοid. See the diagram belοw.

Area of trapezium = 1/2(h)(a + b)

where h =  height

a =  smaller base = 10

b = larger base = 15

Now to find height, we see a triangle at the end of trapezium, draw the imaginary altitude

Now, the base = 5/2     ⇒(15 - 10= 5)/2

= 2.5

Using trigonometry ratio

tan(θ) = Height/ Base

tan(40°) = Height/ 2.5

0.8391 = Height/ 2.5

Height = 2.5/ 0.8391

Height ≈ 2.98

Now, The area = 1/2(2.98)(10 + 15)

= 1/2(2.98)(10 + 15)

= 37.25 unit²

Thus, The area of the isosceles trapezoid is 37.25 unit².

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Answer:

A relation is defined as the collection of inputs and outputs which are related to each other in some way. In case, if each input in relation has accurately one output, then the relation is called a function.

Based on the given relation, we found that it is not a function because it has repeating x-values. Remember, for a relation to be a function, each input (x-value) must correspond to exactly one output (y-value).

To determine if a relation is a function, you need to check if each input (x-value) corresponds to exactly one output (y-value). You can use the following steps:

1. Identify the given relation as a set of ordered pairs, where each ordered pair represents an input-output pair.

2. Check if there are any repeating x-values in the relation. If there are no repeating x-values, move to the next step. If there are repeating x-values, the relation is not a function.

3. For each unique x-value, check if there is only one corresponding y-value. If there is exactly one y-value for each x-value, then the relation is a function. If there is more than one y-value for any x-value, then the relation is not a function.

Let's consider an example relation: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 1: Identify the relation as a set of ordered pairs: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 2: Check for repeating x-values. In our example, we have a repeating x-value of 2. Therefore, the relation is not a function.

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Answer:

$200

Step-by-step explanation:

Consider the original price be x

As per the question

Solving the equation yields:

In conclusion

the original price of the jacket was $200

Answer:

x= -3

Step-by-step explanation:

4(x-6)+27= -9

4x-24+27= -9

4x+3= -9

-3

4x= -12

÷4

x= -3

Answer:

m = 17.5

Step-by-step explanation:

Given 0.2m=3.5, we want to solve for m.  This involves isolating m on the left side.  To accomplish this, divide both sides by 0.2, obtaining:

m = 3.5/0.2, or m = 17.5

Answer:

is. there. a. picture

Step-by-step explanation: