The ordered pairs model an exponential function, where w is the function name and t is the input variable.

{(1, 60), (2, 240), (3, 960), (4, 3840)}

What is the function equation in sequence notation?

ANSWER: 60(4)t−1

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The total power being emitted by the source, given the radiant flux density, is  28,274.3 watts of power.

The inverse square law can be used with the formula :

I = P / ( 4 π r ²)

We are given the radiant flux density I = 90 W/m² and the distance r = 5 m.

The power being emitted is therefore :

P = 90 W/ m ² x (4 π ( 5 m) ² )

P = 90 W / m ² x ( 4 π x 25 m ² )

P = 90 W / m² x 100 π m²

P = 28, 274.3 watts

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Full question is:

How much power is a source emitting with an amount of radiant flux density of 90w/m sq when the distance is 5 m

An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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The values of the matrices operations are [tex]4G + 2F = \left[\begin{array}{ccccc}34&-4&-42&-18&48\\-42&-8&16&30&8\\24&32&4&34&34&-12&-32&-12&-42&-20\end{array}\right][/tex] and [tex]4D - 3B= \left[\begin{array}{ccccc}31&6&34&-14&-57\\-19&-27&-18&18&27\\47&14&-1&-40&9&10&12&-19&-15&-58&-14&-23&10&-8&10\end{array}\right][/tex]

From the question, we have the following parameters that can be used in our computation:

[tex]G = \left[\begin{array}{ccccc}8&-5&-7&-1&10\\-6&-7&1&9&2\\4&6&3&7&5&-4&-3&0&-10&-9\end{array}\right][/tex]

Also, we have

[tex]F = \left[\begin{array}{ccccc}1&8&-2&-5&9\\-9&10&6&-3&0\\4&5&-4&3&7&2&-10&-6&-1&-8\end{array}\right][/tex]

Using the above as a guide, we have

[tex]4G + 2F = 4\left[\begin{array}{ccccc}8&-5&-7&-1&10\\-6&-7&1&9&2\\4&6&3&7&5&-4&-3&0&-10&-9\end{array}\right] + 2 \left[\begin{array}{ccccc}1&8&-2&-5&9\\-9&10&6&-3&0\\4&5&-4&3&7&2&-10&-6&-1&-8\end{array}\right][/tex]

Evaluate the sum

[tex]4G + 2F = \left[\begin{array}{ccccc}34&-4&-42&-18&48\\-42&-8&16&30&8\\24&32&4&34&34&-12&-32&-12&-42&-20\end{array}\right][/tex]

Next, we have

[tex]D = \left[\begin{array}{ccccc}7&-6&3&-8&-9\\2&-9&-6&6&9\\8&2&5&-10&-3&10&-3&-4&3&-7&1&-2&4&-5&-2\end{array}\right][/tex]

Also, we have

[tex]B = \left[\begin{array}{ccccc}-1&-10&-8&-6&7\\9&-3&-2&2&3\\-5&-2&7&0&-7&10&-8&1&9&10&6&5&2&-4&-9\end{array}\right][/tex]

The matrix expression is then represented as

[tex]4D - 3B= 4\left[\begin{array}{ccccc}7&-6&3&-8&-9\\2&-9&-6&6&9\\8&2&5&-10&-3&10&-3&-4&3&-7&1&-2&4&-5&-2\end{array}\right] - 3\left[\begin{array}{ccccc}-1&-10&-8&-6&7\\9&-3&-2&2&3\\-5&-2&7&0&-7&10&-8&1&9&10&6&5&2&-4&-9\end{array}\right][/tex]

Evaluate

[tex]4D - 3B= \left[\begin{array}{ccccc}31&6&34&-14&-57\\-19&-27&-18&18&27\\47&14&-1&-40&9&10&12&-19&-15&-58&-14&-23&10&-8&10\end{array}\right][/tex]

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Using the given matrix, the value of -10(T) is

[tex]-10(T) = \left[\begin{array}{cc}-230&380\\-170&60\end{array}\right][/tex]

From the question, we are to carry out the matrix multiplication

From the given information,

The given matrices is:

[tex]T =\left[\begin{array}{cc}23&-38\\17&-6\end{array}\right][/tex]

Now, we are to determine -10(T)

To achieve this, we will multiply each of the element in the given matrix by -10

That is,

-10 ×23 = -230

-10 × -38 = 380

-10 × 17 = -170

-10 × -6 = 60

Thus,

The result of the multiplication will be:

[tex]\left[\begin{array}{cc}-230&380\\-170&60\end{array}\right][/tex]

Hence, the value of -10(T) is

[tex]-10(T) = \left[\begin{array}{cc}-230&380\\-170&60\end{array}\right][/tex]

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Answer:  A and yes

Step-by-step explanation:

1.  A is the answer. You must balance an equation.  Whatever you do to one side you have to do to the other side. There are no like terms to combine on one side so C, D are out.

2.  Yes, because the equations are balance and will get same answers

The time taken by the runner is equal to 9.064 hours.

In this problem we find the case of runner taking a time (t), in hours, to run a certain distance (d), in miles, at constant speed (v), in miles per hour. The kinematic equation is now introduced:

v = d / t

Now we proceed to determine the missing time:

(26.2 mi) / (4.75 hours) = (50 mi) / t

t = 9.064 h

The runner takes a time of 9.064 hours to run a distance of 50 miles.

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Answer:

-3 3/8

Step-by-step explanation:

Answer:

53 es el pr espero que te ayude

Tasheena's grade percentage in the class so far is approximately 71.00935%.

The percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

To compute Tasheena's grade percentage in the class so far, we can calculate the weighted average of her scores based on the weightage of each component of the final grade.

Given:

Quizzes: 15% weightage

Exams: 55% weightage

Projects: 25% weightage

Attendance: 5% weightage

Tasheena's scores:

Quizzes: 117 out of 150 points

Exams: 74, 86, and 91 on the first three exams (each worth 100 points)

Projects: 29 out of 25 possible points

Attendance: Perfect attendance

Let's calculate Tasheena's grade percentage:

Quizzes:

Tasheena's quiz score percentage = (117 / 150) * 100 = 78%

Exams:

Tasheena's exam average = (74 + 86 + 91) / 3 = 83.67

Tasheena's exam score percentage = (83.67 / 100) * 55 = 46.017%

Projects:

Tasheena's project score percentage = (29 / 25) * 100 = 116%

Attendance:

Tasheena's attendance score percentage = 100% (since she had perfect attendance)

Now, let's calculate the weighted average of Tasheena's scores:

Weighted average = (Quizzes weightage * Quiz score percentage) + (Exams weightage * Exam score percentage) + (Projects weightage * Project score percentage) + (Attendance weightage * Attendance score percentage)

= (15% * 78%) + (55% * 46.017%) + (25% * 116%) + (5% * 100%)

= 11.7% + 25.30935% + 29% + 5%

= 71.00935%

Hence, Tasheena's grade percentage in the class so far is approximately 71.00935%.

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Answer:

False

Step-by-step explanation:

you have to save at least 20 percent

The number of kilogram that are  there in there 5,450 dekagrams is: C. 54.5 kg.

The kilogram is widely used as a unit of mass in everyday life, as well as in science, engineering, and industry. One kilogram is equal to 1,000 grams, and it is the base unit for other mass-related units such as milligrams, centigrams, and decigrams.

To convert 5,450 dag to kg, we need to divide by 100, since 1 kg = 100 dag:

5,450 dag ÷ 100 = 54.5 kg

Therefore, the answer is (c) 54.5 kg.

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The correct question is:

How many kilograms are there in there 5,450 dekagrams?

1 kg = 100 dag

a. 45.4 kg

b. 119.5 kg

c. 54.5 kg

d. 264.3 kg

The probability of boys and girls playing on school sport team is x/23 and y/23 respectively.

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1.

This means that the addition of probability of boys and probability of girls playing in a school tem will be 1. Represent the number of boys by x and the number of girls by y.

Probability = sample space /Total outcome

Since the total number of students is 23

Therefore, the probability of boys in the team = x/23 and,

Probability of girls = y/23

therefore x/23 +y/23 = 1

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Step-by-step explanation:

m ∠WXY = 72°

m ∠ 1 = m ∠ 2 + 6°

m ∠WXY = m ∠ 1 + m ∠ 2

72° = (m ∠ 2 + 6°) + m ∠ 2

72° = 2 × (m ∠ 2) + 6°

2 (m ∠ 2) = 72° - 6°

2 (m ∠ 2) = 66°

(m ∠ 2) = 33°

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Using the Pythagorean theorem we know that the third side is 15 units.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a² + b², are equal to the squares on the legs.

To determine c, use the Pythagorean Theorem as follows:

a² + b² = c²

9² + 12² = c²

81 + 144 = c²

225 = c

c² = 225

c = √(225)

c = 15

Therefore, using the Pythagorean theorem we know that the third side is 15 units.

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Correct question:

Find the length of the third side. If necessary, round to the nearest tenth.

12 and 9

The balance after 10 years is equal to: A. $1491.82.

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

[tex]A(t) = P_{0}e^{rt}[/tex]

Where:

When time, t = 10 years, the future value can be calculated as follows:

[tex]A(t) = 1000e^{0.04 \times 10}\\\\A(t) = 1000e^{0.4}[/tex]

A(t) = 1000(1.49182469764)

A(t) = 1491.82469764 ≈ $1491.82.

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Answer:

$\boxed{52}$ dog owners would be expected to brush their dog's teeth.

Step-by-step explanation:

Question: What are the two possible angles of a triangle with sides of 100 and 75 with a 40° as marked in the triangles above? Solution: Use the law of sines formula where the 75 length is opposite of 40°, and 100 is opposite of θ. Answer: The two possible angles for this triangle is 58.97° and 121.03°.

Therefore, the coordinates of  [tex]S'[/tex] are  [tex](-2, -1)[/tex] .

A series of numbers called coordinates is used to describe a point's location in a two- or three-dimensional space.

Typically, coordinates in a two-dimensional space are expressed as a pair of integers (x, y), where x denotes the point's horizontal location (also known as the abscissa) and y denotes its vertical position (also known as the ordinate).

Coordinates are commonly expressed as a triplet of numbers (x, y, z) in a three-dimensional space, where x, y, and z stand for the locations along the x, y, and z axes, respectively.

In order to describe the location of objects or points in space, coordinates are often employed in a variety of disciplines, including mathematics, physics, engineering, and computer graphics.

To rotate a point 180° about the origin, we need to negate the x-coordinate and the y-coordinate of the point.

So to find the coordinates of S', we can apply this rule to the coordinates of S:

x-coordinate of   [tex]S' = -x-[/tex] coordinate of [tex]S = -(2) = -2[/tex]

y-coordinate of  [tex]S' = -y-[/tex]  coordinate of  [tex]S = -(1) = -1[/tex]

Therefore, the coordinates of S' are [tex](-2, -1).[/tex]

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Answer:

The answer is A

Step-by-step explanation:

Trust me

Explanation:

The paragraph explains how TERFs have alienated many feminists from radical feminism and why TERF is a harmful and anti-trans movement.

Some other possible sentences are:

The rap about why triangular pyramids are the best shape is given below.

Verse 1:

Listen up, y'all, I'm here to spit some truth

About a shape that's often overlooked, but it's the truth

It's the triangular pyramid, and let me tell you why

It's the best shape out there, and that's no lie

Chorus:

Triangular pyramids, they're the way to go

Strong and sturdy, they're the best, you know

With their pointed tips and angled sides

They're the perfect shape, no need to hide

Verse 2:

When it comes to architecture, they're the top choice

Their shape is so versatile, you can't deny its voice

From ancient pyramids to modern buildings tall

The triangular pyramid can withstand it all

Chorus:

Triangular pyramids, they're the way to go

Strong and sturdy, they're the best, you know

With their pointed tips and angled sides

They're the perfect shape, no need to hide

Verse 3:

And let's not forget their mathematical prowess

Their angles add up to 180, no need to guess

With their faces all congruent, they're a sight to see

The triangular pyramid, it's the shape for me

Chorus:

Triangular pyramids, they're the way to go

Strong and sturdy, they're the best, you know

With their pointed tips and angled sides

They're the perfect shape, no need to hide

Outro:

So there you have it, folks, the triangular pyramid

It's the best shape out there, there's no need to forbid

From its strength to its geometry

The triangular pyramid, it's the shape for me!

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The slope of the relation with the equation 5x - 3y = 4 is 5/3

To find the slope of the line whose equation is 5x - 3y = 4, we need to rearrange the equation to be in slope-intercept form, y = mx + b, where m is the slope of the line.

First, we'll subtract 5x from both sides:

-3y = -5x + 4

Next, we'll divide both sides by -3 to isolate y:

y = (5/3)x - 4/3

Now we can see that the slope of the line is 5/3.

So the correct answer is: 5/3

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The statement that best describes the potential bias in this scenario is option B: The survey results are most at risk for department members not being able to answer honestly.

The reason for this is that department members may be afraid to share their true thoughts and opinions, especially if they believe their ideas may be seen as too innovative or risky. They may be concerned about how their managers or colleagues will perceive them if they express ideas that go against the status quo or challenge established norms.

This type of bias is known as social desirability bias, which refers to the tendency of respondents to answer questions in a way that is socially acceptable or desirable, rather than in a way that reflects their true beliefs or behaviors.

In this case, department members may feel pressure to conform to the expectations of their superiors or colleagues, even if it means not expressing their true opinions or ideas.

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Complete Question

A department manager recently launched a new initiative so the members of her department can more easily present innovative ideas they have. To get feedback on the initiative, she emails a link to all department members for an anonymous online survey.

Which statement is true?

A. The survey results are most at risk for nonresponse bias.

B. The survey results are most at risk for department members not being able to answer honestly.

C. The survey results are not at risk of any bias.

D. The survey results are most at risk for under coverage.

Answer:

n = 20/3

Step-by-step explanation:

Theory about the discriminant, and how solutions are acquired via the quadratic formula

One variable quadratic equations in the form [tex]0=ax^2+bx+c[/tex] have exactly one solution when the discriminant [tex](b^2-4ac)=0[/tex].

This is because for quadratic equations of the original form, the two solutions are given by the quadratic formula:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

which is equivalent to [tex]x=\dfrac{-b}{2a}\pm \dfrac{\sqrt{b^2-4ac}}{2a}[/tex].

The [tex]x=\dfrac{-b}{2a}[/tex] is the axis of symmetry, and the [tex]\dfrac{\sqrt{b^2-4ac}}{2a}[/tex] part is how much the solutions deviate from the axis of symmetry.  If the deviation is zero, then the two solutions are both ON the axis of symmetry, and are the same number, giving exactly one solution.

Addressing the given equation

Putting it into standard form

Given the given equation...

[tex](n-4)u^2+6=8u[/tex]

subtract 8u from both sides to obtain an equation that looks like the standard form equal to zero...

[tex](n-4)u^2-8u+6=0[/tex]

The variable here is "u" instead of "x", so the solutions to this equation would be [tex]u=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex], where [tex]a=n-4[/tex], [tex]b=-8[/tex], and [tex]c=6[/tex].

Identifying the discriminant

The discriminant then, with values of a, b, and c, substituted, becomes:

[tex]Discriminant=(-8)^2-4(6)(n-4)[/tex]

If we want the discriminant to equal zero (so that there is exactly one solution for "u"), substitute zero on the left side of the equation, and solve for n.

Solving for n

[tex]0=(-8)^2-4(6)(n-4)[/tex]

[tex]0=64-4(6)(n-4)[/tex]

[tex]0=64-24(n-4)[/tex]

Add -24(n-4) to both sides...

[tex]24(n-4)=64[/tex]

Divide both sides by 24...

[tex]n-4=\dfrac{64}{24}[/tex]

Reduce the right hand side...

[tex]n-4=\dfrac{8}{3}[/tex]

Add 4 to both sides...

[tex]n=\dfrac{8}{3}+4[/tex]

Find a common denominator...

[tex]n=\dfrac{8}{3}+\dfrac{12}{3}[/tex]

Find a common denominator...

[tex]n=\dfrac{20}{3}[/tex]

So, if [tex]n=\dfrac{20}{3}[/tex], then the equation [tex](n-4)u^2+6=8u[/tex] has exactly one solution.  Furthermore, this is the only value of "n" for which the equation has exactly one solution, because it is the only value of "n" for which the discriminant is zero.

Answer:

We can use synthetic division to divide the polynomial 2x^3 + 522x^2 - 11x + 104 by x + 8, since x + 8 is a factor of the polynomial:

-8 | 2   522   -11   104

  |     -16   -412  2584

  |--------------------

  2   506   -423  2688

The numbers in the bottom row of the synthetic division represent the coefficients of the quotient polynomial, in order of decreasing degree. So the quotient polynomial is:

2x^2 + 506x - 423

Therefore, the other factor of the polynomial is 2x^2 + 506x - 423.

Answer:

A.) Newly married couples tend to have two earners.

Step-by-step explanation:

When newly married couples first start off marriage, they tend to both work to make stable income since they recently had to work to make money for only their selves, which is why they both tend to have two earners.