What are the first five terms, a1, a2, a3, a4, a5, of the sequence defined by a Subscript n = StartFraction n squared minus 9 Over n cubed + 3 EndFraction, and how can the sequence be described?
PLEASEEE HELP !!

Answer: [tex]8x^6 y^3[/tex]

Step-by-step explanation:

See attached image.

The expression which is equivalent to (2x²y)³ is 8x⁶y³

An expression is combination of variables, numbers and operators.

The given expression is (2x²y)³

Two times of x square times of y whole to the power of three

We have to find the equivalent expression of the given expression.

Equivalent expressions are expressions that work the same even though they look different.

We have a property that [tex](a^m)^n=a^m^n[/tex]

So (2x²y)³ = 2³x⁶y³

=8x⁶y³

Hence, the expression which is equivalent to (2x²y)³ is 8x⁶y³

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The approximate direction angle of v is 326°

Definition of Direction Angle

A vector's direction angle is the angle formed by the positive x-axis and the vector v. The arctangent of the ratio between the vertical and horizontal components of the vector, v=xi+yj, can be used to determine the direction angle, θ.

What is the direction angle of v?

Let θ be the direction angle of v or the angle mad by v with the horizontal line.

It is given that,

[tex]v = < 3, -2 >[/tex]

We know that,

θ = tan⁻¹([tex]\frac{y}{x}[/tex])

Here, we have y = -2 and x = 3. Hence, we get,

∴ θ = tan⁻¹[tex](\frac{-2}{3})[/tex]

⇒θ = tan⁻¹(0.66)

Hence the direction angle of v = 360 - tan⁻¹(0.66)

≈ 326°

Thus, the approximate direction angle of v is 326°.

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The resulting function after all transformations have been carried out is; 4log7(x+5) + 2.

The transformations which ensued on the function given are as follows;

Stretched vertically by a factor of 4; Hence, we have; 4f(x) = 4log7(x).

Shifted to the left by 5 units; 4f(x) = 4log7(x +5).

Shifted down by 2 units; 4f(x) +2 = 4log7(x+5) + 2.

On this note, it follows that the resulting function upon all the Transformations is; = 4log7(x+5) + 2.

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Answer:

so their are three kinds of breed 2 kinds of meet and 2 kinds of cheese here the list

roll, ham,swiss

roll, turkey,american

roll,ham,american

roll, turkey,swiss

bread, ham,swiss

bread, turkey,american

bread,ham,american

bread, turkey,swiss

wrap, ham,swiss

wrap, turkey,american

wrap,ham,american

wrap, turkey,swiss

Hope This Helps!!!

Answer:

The last one - 256 people

You should write down and track only the 20lbs weight during your weighted exercise while ignoring your body weight.

Actual weight is also referred to as gross weight and it can be defined as the exact (original) weight of an object, as measured using an appropriate weighing scale.

This ultimately implies that, you would write down and track only the 20lbs weight during your weighted exercise such as a single rep of weighted overhand chin ups.

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Answer:

300

Step-by-step explanation:

A pyramid with a triangle-shaped base whose three triangular faces meet at the ap/ex. The triangular pyramid formula included both the volume and surface area of the pyramid. The triangular pyramid volume formula calculates the base area and the height whereas the surface area of the triangular pyramid calculates the base area, perimeter,, and slant height. Formulas for volume and surface area of the triangular pyramid are given below that are used in the triangular pyramid formula: 

Volume= 1/3 × Base area × Height

Answer:

The ratio of the widths is 3:16, the ratio of the volumes is 27:4096, and the ratio of the surface areas is 9:256.

Step-by-step explanation:

In Geometry, you'll learn that when the scale factor of similar figures is a:b, then the ratio of the perimeter is a:b, the ratio of the area is a*a:b*b and the ratio of volume is a*a*a:b*b*b.

The critical value of r is mathematically given as r = +0.487, with no significant linear correlation. Option A.

Question Parameters

r = -0.868

n = 5

df = 5 - 2

df = 3

[tex]\alpha / 2 =0.025[/tex]

Critical values [tex]r= \pm 0.878[/tex]

Generally, there exists no linear correlation between the Critical values

as r=0.878

In conclusion,  Critical values: r = +0.487, no significant linear correlation

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Answer:

Cone: h =  [tex]3\frac{V}{\pi r^{2} }[/tex]

Cylinder: h = [tex]\frac{V}{\pi r^{2} }[/tex]

Step-by-step explanation:

- the formula you described is not the formula for the volume of a cone as it is V = [tex]\pi rx^{2} \frac{h}{3}[/tex]

- to find the height you simply rearrange the formula, so the formula to calculate the height of the cone is:

- h =  [tex]3\frac{V}{\pi r^{2} }[/tex]

- based on the formula you described, it is closer to a cylinder and the formula for the volume of a cylinder is: V = [tex]\pi r^{2} h[/tex]

- once again, to find the height you simply rearrange the formula, so the formula to calculate the height of the cone is:

- h = [tex]\frac{V}{\pi r^{2} }[/tex]

hope this helps :)

Answer:

Could you please provide more context to the problem

Step-by-step explanation:

There is not much context provided for us on this problem, but you can set the decimal to a percentage: 18% of customers win a prize. Now to properly solve this question we need to know either the number of people or the percentage of kids and adults.

The coefficients of variation shows that D. The grade point averages of females are more variable than males.

From the complete information, the coefficients of variation for male is 21.3% and the coefficient of variation for female is 25.1%.

In this case, the coefficients of variation shows that the grade point averages of females are more variable than males.

In conclusion, the correct option is D.

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The Domain and Range of tan(x) are mathematically given as

Domain [tex]:{x/x \neq.....\frac{-3\pi}{2}, \frac{-\pi}{2},....}[/tex]

Range: all Real numbers

All real numbers are in the domain of the function "y=tan (x)," with the exception of the value "[tex]\pi/2+\pi n[/tex]" for all integers n, which is the case when cos(x) = 0.

It follows that "[tex]\frac{-3 \pi }{2}[/tex]" is not in the domain of "tan (x)" among the possible values.

In conclusion,

Domain [tex]:{x/x \neq.....\frac{-3\pi}{2}, \frac{-\pi}{2},....}[/tex]

Range: all Real numbers

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Answer:

y=mx+b is the formula starting with b say it is 4 you put a dot on 4  on the y axis m is 1/2 you go up 1 right 2 on the 4 points then do the same on the next point you get then you get your line. hope this helps  

Answer:

If i did it correctly the answer should be 255 days

Step-by-step explanation:

please mark brainliest

Answer:

[tex]y = -\frac{5}{2} x + 3[/tex]

Step-by-step explanation:

We are given that a line passes through (-2, 8) and has a slope of -5/2.

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.

Since we are already given the slope of this line, we can immediately plug it into the equation.

Replace m with -5/2.

[tex]y = -\frac{5}{2} x+ b[/tex]

Now we need to find b.

As the equation passes through the point (-2, 8), we can use its values to help solve for b.

Substitute -2 as x and 8 as y.

[tex]8 = -\frac{5}{2} (-2) +b[/tex]

Multiply.

8 = 5 + b

Subtract 5 from both sides.

3 = b

Replace b with 3 in the equation.

[tex]y = -\frac{5}{2} x + 3[/tex]

Topic: finding the equation of the line (slope-intercept form)

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The key features of the function g(x) = (x + 3)(x + 2)(x − 3) are; Maximum Point at g(x) = 6.065; Minimum Point at g(x) = -0.879; 2.593 is the point of inflection

1) The Fundamental Theorem of Algebra states that a polynomial of degree "n" has at most "n" number of complex roots.

Since Kelsey argues the function can have as many as three zeros only, then we can say that Kelsey is correct.

2) The g(x) function that I will choose is;

g(x) = (x + 3)(x + 2)(x − 3)

Expanding this gives us;

g(x) = x³ - x² - 4x + 4

To find the key features which are critical points (maximum, minimum, point of Inflection), we will differentiate g(x) with respect to x to get;

g'(x) = 3x² - 2x - 4 = 0  

Using quadratic formula gives;

x = 1.535  and  Minimum Point; x = -0.869

Thus;

g(1.535)  = -0.879  minimum point

g(-0.869) = 6.065  maximum point

Thus;

Maximum Point occurs at g(x) = 6.065

Minimum Point occurs at g(x) = -0.879

g"(x) = 6x -2

At g"(x) = 0, we will have the point of inflection which is at;

x = 1/3

g(1/3) = 2.593 which is the point of inflection

3) The graph of the Polynomial of the function g(x) = (x + 3)(x + 2)(x − 3) is as attached.

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The probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.

The Poisson distribution is a discrete probability distribution that describes the likelihood of a specific number of events occurring in a specified span of time or space, if these events occur at a constant mean rate and regardless of the time since the last occurrence.

Let X ~ Pois(λ)

Then we have:

E(X) = λ = Var(X)

Since standard deviation is the square root (positive) of variance,

Thus,

The standard deviation of X = [tex]\sqrt{\lambda}[/tex]

Its probability function is given by

[tex]f(k; λ) = Pr(X = k) = \dfrac{\lambda^{k}e^{-\lambda}}{k!}[/tex]

Given the mean is 4.2.

We have to find the probability that on any day, the number of special orders sent out will be exactly 3. Therefore, the value of x will be 5.

Using the Poisson distribution,

[tex]P(x) = \dfrac{e^{-\lambda}\lambda ^x}{x!}\\\\P(5) =\dfrac{e^{-4.2}(4.2)^5}{5!}\\\\P(5) = 0.1633[/tex]

Hence, the probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.

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Answer:

[tex]\displaystyle g(x) = -(x + 2)(x - 4)[/tex]

Step-by-step explanation:

First, look at the graph to determine whether it opens down or up, which in this case is down, so you insert a negative in front of the expression. Next, locate your x-intercepts [zeros (where the graph insects the x-axis)]. You will see that the graph intersects [tex]\displaystyle [-2, 0][/tex] and [tex]\displaystyle [4, 0],[/tex] so what you do is insert the zeros' OPPOCITES into the equation because according to the vertex equation, [tex]\displaystyle y = A[x - h]^2 + k,[/tex] that negative in front of [tex]\displaystyle h[/tex] gives you the OPPOCITE outcome, so be careful.

I am joyous to assist you at any time.

The area that the plane can fly and be in the zone known as the Bermuda is; 346952 mile²

The area rule states that the area of any triangle is equal to half the product of the lengths of the two sides of the triangle multiplied by the sine of the angle included by the two sides.

Now, from the question, we are give;

Side 1 = 900 miles

Side 2 = 930 miles

Angle between two sides = 56°.

Thus, by the area rule we have;

Area = (1/2) * 900 * 930 * sin 56°

Area = 346952 mile²

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Answer:

so from my opinion Robert give them a Smack in their ases .

Hope this helps .

Good luck ✅.

The approximate value of 63000 x 200 will be 12600000.

In mathematics, multiplication is defined as the sum of the numbers to the other number given. Like if 2 is multiplied by 3 then the multiplication will be the sum of the two-three times.

Given expression is 63000 x 200 so here we need to calculate the sum of the 63000 to 200 times.

E = 63000 x 200

E = 12600000

Therefore the approximate value of 63000 x 200 will be 12600000.

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Answer:

15x^2y+20xy^2+28xy-9x

Step-by-step explanation:

15x²y - 4(-2xy² - 9xy) + 12xy² - 8xy - 9x ​

First distribute the -4 to all the terms in the parentheses

15x²y +8xy² + 36xy + 12xy² - 8xy - 9x ​

Now combine like terms

15x²y       +8xy²  + 12xy²      + 36xy - 8xy     - 9x ​

15x^2y+20xy^2+28xy-9x

Answer:

b

Step-by-step explanation:

I did it

Answer:

[tex]1200\times6.75=R8100[/tex]

The measure of AN form the given figure is 2. 5cm. Option D

It is important to note that if from one external point, two tangents are drawn to a circle then they have equal tangent segments.

We have that,

AM ≅ AN

so, if AM  measures 2. 5cm

AN measures 2. 5cm

Thus, the measure of AN form the given figure is 2. 5cm. Option D

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A pair of the opposite sides of a hexagon has equal length and this is proved below.

It should be noted that a hexagon is a polygon that has six sides.

In this case, it has 6 sides.

The total angles will be:

= (n - 2) × 180

= (6 - 2) × 180

= 720°

Each angle will hence be:

= 720°/6

= 120°

Each angle are equal and this illustrates that the parallel sides are equal.

A diagram is attached to illustrate the pair of parallel sides.

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The equation of the transformed function is y = 1/2(x - 4)^3 + 5

The parent function is given as:

y = x^3

When the function is vertically compressed by 1/2, the rule is:

(x, y) ⇒ (x, 1/2y)

So, we have

y = 1/2x^3

When translated 4 units right, we have:

y = 1/2(x - 4)^3

When translated 5 units up, we have:

y = 1/2(x - 4)^3 + 5

Hence, the equation of the transformed function is y = 1/2(x - 4)^3 + 5

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