Is the function a polynomial function?

f(x) = 4 -1/x^2

Answer:

Step-by-step explanation:

The required equation is Y=2.5Sin(5π ×x/3)

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here:  The graph with Amplitude= 2.5 and period = 5π/3

Thus writing it in the form Y=a sinbx we get

Y=2.5Sin(5π ×x/3)

Hence, The required equation is Y=2.5Sin(5π ×x/3)

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The right response is, "5 hexagons are made up of 15 pattern block trapezoids."

Geometric shapes known as pattern block trapezoids are frequently utilized in arithmetic instruction. On a flat surface, they are one of a number of forms that can be used to make tessellations, or repeating patterns. Different colored plastic or foam pattern block trapezoids are available in a variety of sizes, with each color denoting a distinct size and form. Pattern block trapezoids are frequently used to teach geometry principles like area, perimeter, and angles in addition to their application in making tessellations. They can also aid in the development of kids' spatial reasoning and problem-solving skills.  

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Step-by-step explanation:

HENCE PROVED

a²-b²-c²=2bc

Step-by-step explanation:

........ ............... .......

Answer: The correct answer is ( 253Cm )

Step-by-step explanation:  

(86cm*3)-5cm

= 258cm - 5cm

= 253cm

The equation of the tangent to the curve without eliminating the parameter is \(y - cos^2(1/2) = -2sin(1/2) \times cos(1/2)(x - sin(1/2)).\)

The equations of the tangents to the curve by first eliminating the parameter is \(y - cos^2(1/2) = -1 / (2sin(1/2))(x - sin(1/2))\).

To find the equation of the tangent to the curve without eliminating the parameter, we need to find the derivative of both x and y with respect to t.

Given x = sin(t) and y = cos^2(t), we can find the derivatives as follows:

dx/dt = cos(t)
dy/dt = -2sin(t) * cos(t)

Now, we need to find the values of t for which the tangent is desired. Let's substitute the values t = 2 and t = 1/2 into the derivatives:

When t = 2:
dx/dt = cos(2)
\(dy/dt = -2sin(2) \times cos(2)\)

When t = 1/2:
dx/dt = cos(1/2)
\(dy/dt = -2sin(1/2) \times cos(1/2)\)
Now, we have the slopes of the tangents at the given points. Let's use the point-slope form of a line to find the equations of the tangents.

For t = 2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(2),cos^2(2))\)

Substituting the values, we get:
\(y - cos^2(2) = -2sin(2) \times cos(2)(x - sin(2))\)

For t = 1/2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(1/2), cos^2(1/2))\)

Substituting the values, we get:
\(y - cos^2(1/2) = -2sin(1/2) \times cos(1/2)(x - sin(1/2))\)
This is the equation of the tangent to the curve without eliminating the parameter.

To find the equation of the tangent by eliminating the parameter, we can solve the given equations to express x in terms of y and then find the derivative of x with respect to y.

From the equation x = sin(t), we can express t in terms of x as t = arcsin(x).

Now, substitute this value of t into the equation y = cos^2(t):
\(y = cos^2(arcsin(x))\)
To eliminate the parameter, we need to find the derivative of x with respect to y:
dx/dy = dx/dt * dt/dy

We already found dx/dt as cos(t), and dt/dy can be found by taking the reciprocal of dy/dt.
So, \(dt/dy = 1 / (dy/dt) = 1 / (-2sin(t) \times cos(t))\)

Substituting the values, we get:
dx/dy = cos(t) / (-2sin(t) * cos(t))

Simplifying further, we get:
dx/dy = -1/(2sin(t))

Now, substitute the values t = 2 and t = 1/2 into the derivative:

When t = 2:
dx/dy = -1/(2sin(2))

When t = 1/2:
dx/dy = -1/(2sin(1/2))

Now, we have the slopes of the tangents at the given points. Let's use the point-slope form of a line to find the equations of the tangents.

For t = 2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(2), cos^2(2))\)

Substituting the values, we get:
\(y - cos^2(2) = -1 / (2sin(2))(x - sin(2))\)

For t = 1/2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(1/2), cos^2(1/2))\)

Substituting the values, we get:
\(y - cos^2(1/2) = -1 / (2sin(1/2))(x - sin(1/2))\)

These are the equations of the tangents to the curve by first eliminating the parameter.

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Answer:

1 PM

Step-by-step explanation:

Find the least common multiple of 36 and 45 to get the next time they are equal

Factorize

36 = 2 * 2 * 3 * 3

45 = 3 * 3 * 5

Multiply for LCM

LCM(36, 45) = 2 * 2 * 3 * 3 * 5 = 180 minutes = 3 hours

Add 3 hours to 10 AM

10 AM + 3 hours =  1 PM

The woman at the dinner party consumed 24 fluid ounces of wine containing approximately 4.8 standard drinks assuming the wine had an alcohol content of 12%. She exceeded the recommended limit for moderate drinking on that day.

Assuming each glass of wine contained 8 fluid ounces, the woman consumed a total of 24 fluid ounces of wine throughout the evening.

To determine the number of standard drinks ingested, we need to know the alcohol content of the wine. In the United States, a standard drink is defined as containing 0.6 fluid ounces or 14 grams of pure alcohol.

Assuming the wine had an alcohol content of 12% (which is a typical percentage for table wine), we can calculate the number of standard drinks ingested by using the following formula:

Number of standard drinks = (Volume of alcohol consumed in ounces x % alcohol by volume) / (0.6 ounces of alcohol per standard drink)

Number of standard drinks = (24 fl oz x 0.12) / 0.6 fl oz

Number of standard drinks = 4.8

Therefore, the woman consumed approximately 4.8 standard drinks.

To determine if she drank alcohol in moderation, we need to consider the recommended limits for moderate drinking. According to the National Institute on Alcohol Abuse and Alcoholism, moderate drinking is defined as up to one drink per day for women.

Since the woman consumed 4.8 standard drinks in one evening, she exceeded the recommended limit for moderate drinking for that day.

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The skydiver is falling for approximately 23.26 seconds before opening the parachute.

To find the time it takes for the skydiver to fall before opening the parachute, we can use the kinematic equation:

s = ut + (1/2)gt²

where:

s = distance fallen (2648 m)

u = initial velocity (0 m/s, as the skydiver starts from rest)

g = acceleration due to gravity (9.8 m/s²)

t = time

Rearranging the equation to solve for t, we have:

t = √((2s) / g)

Substituting the given values, we get:

t = √((2 ×2648) / 9.8)

Calculating the value:

t ≈ √(5296 / 9.8)

t ≈ √(540.82)

t ≈ 23.26

Therefore, the skydiver is falling for approximately 23.26 seconds before opening the parachute.

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Answer:

Step-by-step explanation:

To find the distance between two points, you can use the distance formula:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

where (x1, y1) and (x2, y2) are the coordinates of the two points.

To find the midpoint between two points, you can use the midpoint formula:

[(x1 + x2)/2, (y1 + y2)/2]

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the given lengths, you should be able to find the coordinates of each point and then use the formulas above to fill out the table in the "Rooftop Artist" document.

Answer:

enlargement ; 2

Step-by-step explanation:

dilation is change in the size of the figure.

in the given scenario, figure's size is increasing so dilation is called enlargement and scale factor must be greater than 1.

scale factor = dimension of new shape / dimension of original shape

let's calculate the difference in terms of boxes of both figures to calculate the scale factor,

scale factor = 6/3

thus, in the given dilation we have enlargement of 2

Answer:

B & D

Step-by-step explanation:

You can use PEMDAS (exponets go first)

7x7x7x7x7x7=7^6 times 7=7^1

42

7^12=7x7x7x7x7x7x7=13841287201 divided by 7x7=49

13841287201/49=282475249

Answer:

x = 11

y = 3

Step-by-step explanation:

ΔTUV ≅ Δ HJK

JK = UV    {Corresponding parts of congruent triangles}

2x - 4 = 18

      2x = 18 + 4

      2x = 22

         x = 22/2

         x =  11

HK = TV

6y - 5 = 4y + 1           {Subtract 4y form both sides}

6y - 5 - 4y = 1

      2y - 5 = 1        {Add 5 to both sides}

           2y = 1 + 5

          2y = 6

            y = 6/2

            y = 3

True. Running the r bind function on V1 and V2 would give a warning.

The rbind function in R is used to combine or bind vectors, matrices, or data frames by rows. However, when using rbind(), the vectors being combined should have the same number of columns.

In this case, V1 has 6 elements, while V2 has 5 elements. Since the number of columns doesn't match, the r bind function would give a warning indicating that the binding operation is not possible due to the mismatched number of columns.

When attempting to combine V1 and V2 using rbind, R would throw a warning message similar to: "number of columns of result is not a multiple of vector length (arg x)". This warning indicates that the operation cannot be performed as intended due to the unequal number of elements in the vectors.

Therefore, running the rbind() function on V1 and V2 would result in a warning.

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Answer:

1. 22:24 and 33:36

2. Yes, because for every time x move two times y will move three times in a graph, just like if a ratio between boys and girls was 2:3 it would mean that for every 2 boys there are 3 girls.

Step-by-step explanation:

11:12 = 22:24 and 33:36

Answer:

x=7

Step-by-step explanation:

−3(x−1)+8(x−3)=6x+7−5x

(−3)(x)+(−3)(−1)+(8)(x)+(8)(−3)=6x+7+−5x(Distribute)

−3x+3+8x+−24=6x+7+−5x

(−3x+8x)+(3+−24)=(6x+−5x)+(7)(Combine Like Terms)

5x+−21=x+7

5x−21=x+7

Step 2: Subtract x from both sides.

5x−21−x=x+7−x

4x−21=7

Step 3: Add 21 to both sides.

4x−21+21=7+21

4x=28

Step 4: Divide both sides by 4.

4x/4=28/4

Answer:

x = 7

Step-by-step explanation:

Given

- 3(x - 1) + 8(x - 3) = 6x + 7 - 5x ← distribute parenthesis on left side and simplify

- 3x + 3 + 8x - 24 = x + 7

5x - 21 = x + 7 ( subtract x from both sides )

4x - 21 = 7 ( add 21 to both sides )

4x = 28 ( divide both sides by 4 )

x = 7

The value of t (the duration), we cannot determine the exact total change in elevation.

To determine the total change in the tram's elevation, we need to know the duration or time for which the tram moved upward at a rate of 3 meters per second. Without the time information, we cannot calculate the total change in elevation.

If we assume that the tram moved upward at a rate of 3 meters per second for a certain duration of time, we can use the formula:

Total change in elevation = Rate of change × Time

Let's say the tram moved upward at 3 meters per second for t seconds. The total change in elevation would then be:

Total change in elevation = 3 meters/second × t seconds

However, without knowing the value of t (the duration), we cannot determine the exact total change in elevation.

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Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...

This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.

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Answer:

x = 5/8

Step-by-step explanation:

24a = 15

Divide both sides by 24:

24a ÷ 24 = 15 ÷ 24

x = 5/8

Answer:

24a + 15

a= 24 - 15

= 09

a = 9 answer.

Answer:

69,27 cm^2

Step-by-step explanation:

area of rectangle: 10 x 3 = 30 cm^2

area of the semicircle: (5^2π)/2 ≃ 39,27 cm^2

total area = 30 + 39,27 ≃ 69,27 cm^2

Answer:

-70

Step-by-step explanation:

multiply each sides with (7/4)

(7/4)* 40 = (x/(-4/7)) * (7/4)

(7/4) *40 = -x

70= -x

x= -70

Answer:

See attached graph for the first part

Answer to second part: The end part of the graph show the slowest increase

Step-by-step explanation:

The attached picture represents the number of infected people, starting with a relatively small number at the origin of the horizontal axis (x=0, or time=0) then increasing abruptly in the center of the graph with steep slope. and then infection slowing down (although still slowly increasing) in the region highlighted in yellow to the right of the graph.

Answer:

17x+15 is your answer, I think it is A communative

Step-by-step explanation:

The property is illustrated in step 3 would be A commutative properties of addition

The commutative property states that an expression of the form (A + B) can be solved as (B + A) by an addition operation that does not change the end result.

This property applies to multiplication also.

We are given the equation as;

5x + 1 + 12x + 4

= (5x + 1) + (12x + 4)

(5x + 12x) + (1 + 4)

Therefore, we can see that this shows the step of commutative properties of addition

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Answer:

2.25

Step-by-step explanation:

2/5 is equal to 4/10

(9/10)/(4/10)

(9/10)*(10/4)

90/40

9/4 = 2.25

(Can be checked if you multiply 4 by 2.25)

Jennifer has 48 nickels, which means she has 144 quarters.

Let's call the number of nickels Jennifer has "n".

Since Jennifer has three more dimes than nickels, she has n + 3 dimes.

And since she has three times as many quarters as nickels, she has 3n quarters.

We can start by figuring out the total value of the nickels and dimes in terms of cents:

n * 5 cents + (n + 3) * 10 cents = 750 cents

Expanding the right side of the equation and solving for n:

5n + 10n + 30 cents = 750 cents

15n + 30 cents = 750 cents

15n = 720 cents

n = 48

So Jennifer has 48 nickels, which means she has 3 * 48 = 144 quarters.

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Answer:

Step-by-step explanation:

An=3*n

Answer:

n=3m

Step-by-step explanation:

n represent the number of movies he will watch

m shows the amoutn of month