Write an equation: At 2 claps, Joe is in position 7 and walking towards zero at a rate of 3 claps per minute.

The word sentence as an equation is 35.

An equation is a mathematical statement that shows the equality between two expressions, separated by an equal's sign (=). The expressions on either side of the equals sign can contain variables, constants, or a combination of both. The goal in solving an equation is to find the value(s) of the variable(s) that make the equation true.

93 = g + 58

To solve for g, we can isolate it on one side by subtracting 58 from both sides:

93 - 58 = g

35 = g

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Answer:

question one:

x = 6.018150231520483

adjacent angle = 7.986355100472928

Step-by-step explanation:

i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations

it automaticly does sin, cos, and tan for you.

Answer:

\(Q(x) = x^3 + 4x^2 - 10x + 12\)

Step-by-step explanation:

Complex numbers:

The most important relation when dealing with complex numbers is that:

\(i^2 = -1\)

Zeros of a function:

Given a polynomial f(x), this polynomial has roots \(x_{1}, x_{2}, x_{n}\) such that it can be written as: \(a(x - x_{1})*(x - x_{2})*...*(x-x_n)\), in which a is the leading coefficient.

Q has degree 3 and zeros −6 and 1 + i.

Complex roots are always complex-conjugate, which means that if 1 + i is a root, 1 - i is also a root.

I am going to say that the leading coefficient is 1. So

\(Q(x) = (x - (-6))(x - (1 + i))(x - (1 - i)) = (x + 6)(x^2 - x(1-i) - x(1+i) + (1+i)(1-i)) = (x + 6)(x^2 - 2x + 1 - i^2) = (x + 6)(x^2 - 2x + 1 - (-1)) = (x + 6)(x^2 - 2x + 2) = x^3 + 6x^2 - 2x^2 - 12x + 2x + 12 = x^3 + 4x^2 - 10x + 12\)

The polynomial is:

\(Q(x) = x^3 + 4x^2 - 10x + 12\)

-5-4-3- is the solution for {n\n<3} and 2-1-0 is the correct set for this solution {n\n≥3).

A set is a well-defined collection of distinct objects, known as elements or members of the set. The objects can be anything, such as numbers, letters, words, animals, or even other sets. The defining feature of a set is that its elements are unique and distinct, meaning that no element can appear more than once in the set.

The solution set to 6 + 2n > 12 is n > 3. The correct representations of this solution are:

{n | n ≥ 3}

(3, ∞)

Option 1 {n | n < 3} is incorrect, as it represents the solution set of n being less than 3, which is the opposite of the solution set provided.

Option 2 -5-4-3- is Correct, as it is not in the correct format to represent a solution set.

Option 3 (3,0⁰0) is correct because it represents a point, not a set.

Option 4 and 5 -5-4-3-2-1 0 1 2 3 4 5 and 0 2 3 4 5 are also incorrect as they are not in the correct format to represent a solution set, and does not include the value 3.

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Answer:

x = 97.5 degrees

Step-by-step explanation:

First, we need to know what the total sum of interior angles. We use the formula (n-2) * 180, n being the number of sides.

Since this is a 6-sided polygon, the sum is (6-2) * 180, or 720 degrees.
We have the total sum of interior angles, so now we have all the information we need.
720 degrees = (2x-50) + (x+40) + 80 + (x+20) + 90(right angle symbol) + 150
720 = 4x + 330 (subtract 330 from both sides)

390 = 4x (divide by 4)
x = 97.5 degrees

Answer:

x = 2, y = 4

Step-by-step explanation:

x + \(\frac{3}{4}\) y = 5 ( multiply through by 4 to clear the fraction )

4x + 3y = 20 → (1)

x - \(\frac{1}{2}\) y = 0 ( multiply through by 2 to clear the fraction )

2x - y = 0 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate y

6x - 3y = 0 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 20

10x = 20 ( divide both sides by 10 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

4(2) + 3y = 20

8 + 3y = 20 ( subtract 8 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Solution is x = 2, y = 4

Answer:

Given that,

Margie is 4.25 feet tall

The maple tree in her backyard is 5.5 times taller than her.

To find the height of the maple tree.

we get,

Height of the maple tree is,

Maple tree is 23.375 feet tall.

Answer:

The point

Step-by-step explanation:

I hope this helps. Have a good day!

Answer:

Domain: [-3, 3]

Range: [-1, 5]

Step-by-step explanation:

Reminder: domain is the x values that will make the function defined, and range is the possible y values the function could get.

Keeping that in mind, you can see that the domain of this function is [-3, 3] (using interval notation) and the range is [-1, 5].

Or, you could express the domain as -3≤x≤3 and the range as -1≤y≤5.

I hope this helped.

Answer:

A. The slope is  \(\frac{3}{2}\)

B.  the slope of the tangent line at x = 1 is also the instantaneous rate of change at that point.

Step-by-step explanation:

PART A: Slope

Given tangent line;

\(y = \frac{3x}{2} + \frac{9}{2}\)

The slope of the tangent line is equal to the derivative of the function;

\(\frac{dy}{dx} =\frac{3}{2}\)

the slope = \(\frac{3}{2}\)

PART B: Correct statement that describe the slope of a tangent line:

A secant line is a straight line joining two points on a function and the slope of the function is equal to average rate of change of the function between the two points.

A tangent line is a straight line that touches a function at only one point, and the slope of the function is equal to the instantaneous rate of change of the function at that one point.

Thus, the correct statement is " the slope of the tangent line at x = 1 is also the instantaneous rate of change at that point".

Answer:

confidence interval = ( -0.38 , 0.08 )

Step-by-step explanation:

Given data :

n1 = 55 , n2 = 60 ,

Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55

P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70

The Z-value at 99% confidence Interval = 2.58

Determine the 99% confidence interval for difference in proportion

applying the formula below

( P1 - P2 ) ± Z ( \(\sqrt{p1( 1-p1)/n1 + p2(1-p2)/n2}\)

Input values above into equation

confidence interval = ( -0.38 , 0.08 )

Answer:

That other guy was a mean, the answer is 20

Step-by-step explanation:

Answer:

C

The raid caused a significant impact on the organization, as it ranked 14th in a job satisfaction survey conducted by an external entity.

Stark Industries, a renowned company, recently experienced a raid. The raid caused a significant impact on the organization, as it ranked 14th in a job satisfaction survey conducted by an external entity.

The raid likely led to a decrease in employee morale, affecting their overall satisfaction within the company. Such incidents can create an atmosphere of insecurity and anxiety, making employees feel uncertain about their workplace environment and job stability.

The decrease in job satisfaction might be attributed to concerns regarding safety, trust, and the company's ability to provide a secure and fulfilling work experience.

It is crucial for Stark Industries to address the aftermath of the raid promptly, ensuring transparency, supporting affected employees, and taking necessary steps to restore confidence and enhance job satisfaction within the organization.

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Step-by-step explanation:

Going to assume you need to know that value of x

2x + 6 = 2

isolate the variable by subtracting 6 on both sides

2x = 8

divide by 2

x = 4

Answer:

its not 4, its -2

Step-by-step explanation:

2x+6=2

since we are adding 6 we need to subtract 6 from both sides

2x+6=2

    -6 -6

so then we have

2x=-4

so we divide both sides by the number next to the variable/coefficient which is 2

so

2x/2 cancels out

4/-2=-2

we are left with

x=-2  

Therefore, 6 is the unaccounted-for integer in the formula "x + [?] + x - 5" and the residual is -95 and the quotient is x + 6.

An integer is a whole number in arithmetic that can be positive, negative, or zero. The counting numbers (1, 2, 3,...), their opposites (-1, -2, -3,...), and zero are all integers (0). As a subset of real numbers, integers can be visualized as evenly distributed points on a number line.

given

To divide (x² - 24) by (x - 5), we can use polynomial long division method as follows:

     x   + 6

-------------------

x - 5 | x² - 24

    | x² - 5x

    | -------

    |   -19x

    |   -19x + 95

    | -----------

              -95

As a result, the residual is -95 and the quotient is x + 6. This implies:

(x² - 24) / (x - 5) = x + 6 - 95/(x - 5) (x - 5)

Therefore, 6 is the unaccounted-for integer in the formula "x + [?] + x - 5" and the residual is -95 and the quotient is x + 6.

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We would reject the null hypothesis in favor of the alternative hypothesis.

The null hypothesis (H0) is that the average number of classes per quarter for students is 2 or less. The alternative hypothesis (Ha) is that the average number of classes per quarter for students is greater than 2. We can express this as:

H0: μ ≤ 2 (mean number of classes per quarter)

Ha: μ > 2

Where μ represents the population mean. This hypothesis is based on the instructor's belief that students take more than 2 classes on average.

The significance level (alpha) is given as 0.01, which means that if the p-value of the test is less than 0.01, we would reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

53

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

(2 + 7i)(2 - 7i)

(2 * 2) + (2 * -7i) + (7i * 2) + (7i * -7i)

4 + -14i + 14i + \(-49i^{2}\)

4 + \(-49i^{2}\)                     (\(i^{2}\) = -1)

4 + (-49 * -1)

4 + 49

53.

53 is the result.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.

An imaginary number is denoted by i.

The value of i is √-1.

i² = √-1² = -1

We have,

(2 + 7i) (2 - 7i)

We need to write in the form of a + bi.

a + bi

a = real number

b = imaginary part

(2 + 7i) (2 - 7i)

Remove the brackets.

= 2 x (2 - 7i) + 7i x (2 - 7i)

=  4 - 14i + 14i - 49i²

= 4 - 14i + 14i - 49 x -1

= 4 - 14i + 14i + 49

= 4 + 49

= 53

We have only the real part.

So,

The product of (2 + 7i) (2 - 7i) is 53 + 0i.

Thus,

The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.

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The optimal values are: Units of chemical P, p = 144 units

Units of chemical R, r = 0 units

Maximum production of chemical Z, z = 24,480 units (rounded to the nearest whole unit)

To maximize the production of chemical Z subject to the budgetary constraint, we need to determine the optimal values for p (units of chemical P) and r (units of chemical R) that satisfy the budget constraint and maximize the production of Z.

Let's first set up the equations based on the given information:

Cost constraint equation:

400p + 1200r = 144000

Production equation:

z = 170p + 75r

We want to maximize z, so our objective function is z.

Now we can solve this problem using linear programming.

Step 1: Convert the problem into standard form.

Rewrite the cost constraint equation as an equality:

400p + 1200r = 144000

Step 2: Set up the objective function and constraints.

Objective function: Maximize z

Constraints:

400p + 1200r = 144000

z = 170p + 75r

Step 3: Solve the linear programming problem.

We can solve this problem using various methods, such as graphical method or simplex method. Here, we'll solve it using the simplex method.

The solution to the linear programming problem is as follows:

Units of chemical P, p = 144 (rounded to the nearest whole unit)

Units of chemical R, r = 0 (rounded to the nearest whole unit)

Maximum production of chemical Z, z = 170p + 75r = 170(144) + 75(0) = 24,480 units (rounded to the nearest whole unit)

Therefore, the optimal values are:

Units of chemical P, p = 144 units

Units of chemical R, r = 0 units

Maximum production of chemical Z, z = 24,480 units (rounded to the nearest whole unit)

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

The Y-intercept is -1

Step-by-step explanation:

M*thway is a pathway to many abilities some considered to be... unnatural

Statement (C) the y-intercept is y=-1 describes the graph of the function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

\(\rm f(x) = \dfrac{x^2-1}{x^2-2x+1}\)

The above function is a rational function.

The denominator cannot be zero

x² - 2x + 1 ≠ 0

(x - 1)²≠ 1

x ≠ 1

To find y-intercept plug x = 0

f(0) = -1

Thus, statement (C) the y-intercept is y=-1 describes the graph of the function.

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Answer: \(x^{2} + \frac{1}{x^{2}} = 13\)

Have attached the solution, hope that helps...

Answer:

f(0)=4 we write the equetion in the form of

\(f(x) = mx + b\)

which is

1st f(x)= 4x+4 then y-intercept is b= 4

2nd f(x) = 7x-3 then x-intercept is x=3/7

3rd f(x)= -2x + 2 then x-intercept is x= 1

The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

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Answer:

It would look like that I think

Step-by-step explanation:

The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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Answer:

b

Step-by-step explanation:

An integer is a whole number

If the stock market gains by 10 basis points. It means that it increases by (0.0001 x 10) = 0.001% or 0.00001

this is a decimal and not an integer

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:

Amount of sunlight, amount of water, amount of fertilizer, etc

Step-by-step explanation:

Many factors could be the independent variable. It could be amount of sunlight, amount of water, amount of fertilizer, etc. Dependent variables respond to the independent variables, which are the ones you change.

Answer:

x^5/6 + 2x^7/3

Step-by-step explanation: