504 divided by 83 please help

The horizontal asymptote is y = 0 and the vertical asymptotes are x = -1 and x = -5. The graph of g(x) can be sketched as given in the picture.

Asymptotes are lines that a curve approaches but never touches. There are two types of asymptotes:

Horizontal asymptote: A horizontal asymptote is a horizontal line that a curve approaches as the value of x becomes very large or very small. In other words, if the curve approaches a specific y-value as x approaches infinity or negative infinity, then that y-value is the horizontal asymptote.

Vertical asymptote: A vertical asymptote is a vertical line that a curve approaches but never touches. A vertical asymptote occurs when the denominator of a function becomes zero and the numerator does not.

Here we have

The horizontal and vertical asymptotes of the reciprocal squared function that has been shifted left 3 units and down 4 units.

The reciprocal squared function is given by:

=> f(x) = 1/(x²)

To shift this function left 3 units and down 4 units, we need to modify the equation as follows:

=> g(x) = 1/((x+3)²) - 4

=> g(x) = 1/x² + 6x + 9 - 4

=> g(x) = 1/x²+6x+5

To find the horizontal asymptotes, consider what happens to the function as x approaches infinity and negative infinity.

As x approaches infinity, the x² term dominates the denominator, so we can approximate g(x) as 1/x².

Thus, the horizontal asymptote is y = 0.

As x approaches negative infinity, the x² term still dominates the denominator, and so g(x) also approaches 0.

Thus, the horizontal asymptote is also y = 0.

To find the vertical asymptotes, we need to look for values of x that make the denominator of g(x) equal to zero. We can factor the denominator as (x + 1)(x + 5),

so the vertical asymptotes occur at x = -1 and x = -5.

Therefore,

The horizontal asymptote is y = 0 and the vertical asymptotes are x = -1 and x = -5. The graph of g(x) can be sketched as given in the picture.

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Answer:

m =6/2, n = π/2

m = 6/5, n =√2

Step-by-step explanation:

The formula expressing the radius of the circle, r (in cm), in terms of the number of seconds, t, since the circle started shrinking is r = r₀ - kt, where r₀ is the initial radius and k is the rate at which the circle is shrinking.

The formula r = r₀ - kt represents the relationship between the radius of the circle and the time elapsed since it started shrinking. Here's an explanation of the variables:

r represents the radius of the circle at any given time t.r₀ represents the initial radius of the circle when it started shrinking .k represents the rate at which the circle is shrinking, indicating how much the radius decreases per unit of time.t represents the number of seconds that have elapsed since the circle started shrinking.

By subtracting kt from the initial radius r₀, we can determine the current radius of the circle at any given time t. The term kt represents the amount by which the radius decreases over time, based on the rate of shrinkage defined by the value of k.

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Answer:

15% +40% = 65%. 100%-65% is 35%. This is the percent that is multicolor.

35%*400 is 140. 140 muticolor.

Step-by-step explanation:

Hope this helps :D!

The function f(x) = cot(x) is an odd function, algebraically

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

f(x) = cot(x)

A function is said to be even if

f(x) = f(-x)

Using the above as a guide, we have the following:

f(-x) = cot(-x)

-f(x) = -cot(x)

A function is said to be odd if

-f(x) = f(-x)

So, we have

-f(x) = -cot(x)

-f(x) = cot(x)

By comparing the functions:

f(x) = -f(x) = cot(x)

Hence, the function is odd

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The area of the reflective material is:  284 square yards.

A rectangle is a quadrilateral with four sides and four right-angles.

it has two lines of symmetry.

Analysis:

To find the area of the reflecting material we find the area of the following shapes: trapezium + rectangle + triangle

bigger base of trapezium = 2 + 6 + 2 = 10 yard

smaller base of trapezium = 6

length of rectangle = 18 yard

width of rectangle : 2+6+2 = 10 yard

base of triangle is =  10 yard

Area of reflective material = 1/2(6+10) + 18x10 + 1/2(10)(8) = 284 square yards

In conclusion, the area of reflective material is : 284 square yards.

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Answer:

The answer is below

Step-by-step explanation:

a) g(10) = -3(10) + 1 = -30 + 1 = -29

b) f(3) = (3)² + 7 = 16

c) h(-2) = 12 / (-2) = -6

d) j(7) = 2(7) + 9 = 14 + 9 = 23

e) h(a) = 12 / (a) = 12 / a

f) g(b + c) = -3(b + c) + 1 = 1 - 3b - 3c

h) g(x) =  16

-3x + 1 = 16

3x = 1 - 16

3x = -15

x = -5

i) h(x) = -2

12 / x = -2

x = 12 / -2 = -6

j) f(x) = 23

23 = x² + 7

x² = 16

x = √16

x = 4

We can infer that those assertions do not provide us with adequate details on the hundredths in the decimal system.

The decimal numeral system is widely used to express both integer and non-integer numbers.

The Hindu-Arabic number system has been expanded to include non-integer values.

The way of representing numbers in the decimal system is known as decimal notation.

(1) Since 2 is the eleventh digit of 100z, we may begin writing 100z.

10z = 100(a.bcd)

The decimal point is moved two places to the right by multiplying by 100, giving us the value of:

10z = 100abc.d

Then we shall have d = 2 if the tenths of 100z equal 2.

We have so far: z = a.bc2

(2) Since 1000z's units digit is 2, we may begin writing 1000z.

1000z = 1000a.bc2

We need to move the decimal point three places to the right so that we have order to multiply by 1000:

1000z = abc2

As a result, we can now confirm that the unit digit is actually 2.

However, the number is as follows: z = a.bc2

Therefore, we can infer that those assertions do not provide us with adequate details on the hundredths in the decimal system.

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Answer:

1/4

Step-by-step explanation:

In the simplest form, both top and bottom number cannot be divided into any smaller numbers. So, the calculation would be:

6/9 x 3/8

=(6x3)/(8x9)

= 18/72   ............................Divide both by 18

= 1/4

The length of the rectangle would be equal to the square root of 2 times "n/a".


To find the length (l) of a rectangle when you know the width (w) and the diagonal (d), you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (d) is equal to the sum of the squares of the other two sides (l and w). In this case, we're looking for the length (l), so we can rearrange the formula to solve for it:

d^2 = l^2 + w^2
l^2 = d^2 - w^2
l = sqrt(d^2 - w^2)

However, in your question, you say that the width (w) and the diagonal (d) are both equal to "n/a". This means that we don't actually know their specific values - we only know that they are the same.

So if we substitute "n/a" for both "w" and "d" in the Pythagorean theorem, we get:

(n/a)^2 = l^2 + (n/a)^2
2(n/a)^2 = l^2
l = sqrt(2)*n/a

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Answer:

16/3 or 5.33333

Step-by-step explanation:

You will do \(\frac{y-y}{x-x}\) make sure it is y2 - y1 and x2 - x1.  So lets plug in your numbers. 31 + 1/ 4 +2 = 32/6 = 16/3 simplified. I turned it to + because two - - equals a +.

Answer:

785 cm³

Step-by-step explanation:

3.14x5x5x10=785

sasssssssssssssssssssssssssssssssssssss

The number of sophomores after reducing ratio 1840.

What is ratio?

 A ratio in math displays how many times one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit. In a similar way, the ratio of oranges to all other fruits is 8:14, while the ratio of lemons to oranges is 6:8.

Here the ratio is,

=> freshmen: sophomore = 12: 16

Here there total is 3220.

Total ratio = 12+16 = 28 ,

Then ,

28 = 3220

16 = x

After inter multiplication ,

=> x = \(\frac{3220*16}{28}\)

=> x = 1840.

Hence the number of sophomores is 1840.

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Answer:  here is your answer

Step-by-step explanation:

(9.3 × 10^6) + (1.8 × 10^4) is 93.18E+5.

(9.3 × 106) + (1.8 × 10^4)

(9.3 × 106) + (0.018 × 10^6)

(9.3 + 0.018)× 10^6

(9.318)× 10^6

scientific notation

(93.18E+5)

Answer:

I hope I helped :)

Step-by-step explanation:

a. The y-intercept represents b. (y = mx + b) also b is 20 because that's where the line touches the y-axis.

b. The slope represents Sam's monthly fee.

c. Sam's monthly fee is 0.4 or 2/5

d. Every 50 minutes is $20.

The given statement: "Failure is explicitly defined to be the instant the part reaches the yield point" is false.

What is Yield Point?

The yield point is a certain level of stress or tension where a material begins to deform plastically. Beyond this point, if the material is loaded with additional force, it will experience plastic deformation. The material will deform elastically before the yield point if the load is less than the yield point. At the elastic limit, the material will return to its original shape upon removal of the load.

What is failure?

Failure is a mechanical concept that refers to a material's inability to support a load. Failure is when the applied load exceeds the material's strength. Failure is referred to as the point at which a component or system can no longer perform its intended function safely. It's important to note that the yield point and the point of failure are not the same thing.  Hence, the given statement "Failure is explicitly defined to be the instant the part reaches the yield point" is false.

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Step-by-step explanation:

Given that,

8. The radius of a sphere, r = 115 cm

We need to find the surface area of the metal​ sphere. The formula for the surface area of a sphere is given by :

\(A=4\pi r^2\)

Put all the values,

\(A=4\times 3.14 \times (115)^2\\\\=166106\ cm^2\)

9. Thirty percent of the metal sphere will be covered in a metal that is tinted red.

So, the area of the section that is tinted red is :

\(A=30\%\ of\ 166106\\\\=\dfrac{30}{100}\times 166106\\\\=49831.8\ cm^2\)

Hence, this is the required solution.

Answer:

we don't have a temperature so it would be difficult to figure this out

Step-by-step explanation:

Answer:

70.2

Step-by-step explanation:

use a calculator

Answer:

lines FI and GH

Step-by-step explanation:

both lines are neither parallel nor intersecting and aren't on the same plane

\(\bf\red{CD}\)

Answer:

if you mean by addition its 5 and if its multiplication then its 6

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

15.833 pints of chalkboard paint

Step-by-step explanation:

Surface area of a rectangular prism = 2(lw × hl × hw)

Where,

L = length = 15 feet

w = Width = 13 feet

h = height = 10 feet

Surface area of a rectangular prism = 2(lw + hl + hw)

= 2(15*13 + 10*15 + 10*13)

= 2(195 + 150 + 130)

= 2(475)

= 950 square feet

One pint of chalkboard paint covers 60 square feet

Least number of pints needed to paint the walls = 950 square feet / 60 square feet

= 15.833 pints of chalkboard paint

Answer: x=-1

Step-by-step explanation: hope this helps!

The statement that best describes "willing suspension of disbelief" is: A dynamic in which the audience agrees to accept the fictional world of the play on an imaginative level while knowing it to be untrue.

The concept of "willing suspension of disbelief" is an essential element in experiencing and appreciating works of fiction, particularly in theater, literature, and film. It refers to the voluntary act of temporarily setting aside one's skepticism or disbelief in order to engage with the fictional narrative or performance. It involves consciously accepting the imaginative world presented by the creator, even though it may contain unrealistic or fantastical elements. By willingly suspending disbelief, the audience allows themselves to become emotionally invested in the story and characters, making the experience more enjoyable and meaningful. This dynamic acknowledges the inherent fictional nature of the work while acknowledging that the audience is aware of its fictional status. It creates a mutual understanding between the audience and the creators, enabling the audience to fully immerse themselves in the narrative and connect with the intended emotions and themes of the work.

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Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

The difference between the assets and the liabilities cannot be compared.

Answer:

-6 and - 65

Step-by-step explanation:

X-12x-29, by completing the square we get (x-6)^2-65

Answer:

360 miles

Step-by-step explanation:

For every one hour traveled, 120 miles are covered. If there are three hours traveled, then we would have 120+120+120 (aka 120*3). At the end of the 3 hours, we will have traveled 360 miles. Thank you for choosing Southwest, enjoy your day.