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Answer: Sound waves entering a warmer air means that the kinetic energy of the air particles will increase and thus the vibration of particles will be increased and thus the speed of transmission of sound waves increases.

Step-by-step explanation:

In translation the each side is equal in value or magnitude to its translated equivalent.

Hence since AT = root 10

Then A'T' = the same magnitude of Root 10

Answer:

8x-4

Step-by-step explanation:

multiply 2x-1 * 4

Answer:

diameter [d]=15cm

radius [r]=7.5cm

slant height be l

and

height be h.

lateral surface area of cone =

πrl=477cm²

l=477/(3.1416*7.5)

l=20.244

now

h=\(\sqrt{20.2²-(7.5/2)²}=20cm\)

height=20cm.

LSA of cone = πrl = 477cm²

L = 477/(3.1416 × 7.5)

L = 20.244

Height (h) = √{20.2²-(7.5/2)²}

h = 20cm

Answer:

64,186,300 square miles

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The inequality that represents the value of x is (b)  x > 80

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

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

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

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer: The answer is x<3 but I can't really tell what the answer choices are

Step-by-step explanation:

-24<x-3-8x

-21<-7x

x<3

Explanation:

The Ø​ means "empty set". It's the set with nothing inside it, not even 0.

We can write Ø​ as { } which is a pair of curly braces with nothing between them.

The rule is that if we union any set A with Ø​, then we'll get set A

A U Ø​ = A

Ø​ U A = A

In a sense, it's analogous to adding 0. So it's like saying A+0 = A and 0+A = A.

So that's why {6, 11, 15} U Ø​ = {6, 11, 15}

There's nothing to add onto the set {6, 11, 15}, so we just get the same thing back again.

The surface area of the composite figure is 2005 in².

To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.

Let's break down the figure into its different parts and calculate the surface area step by step:

Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²

Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²

Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:

Surface Area of Rectangle = lw

Plugging in the values, we have:

Surface Area of Rectangle = (11)(5) = 55 in²

Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:

Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle

Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²

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Answer: 2, 4, and 5

Step-by-step explanation:

Answer:

2, 4, and 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

tanθ = h/250

h = 250tanθ

The height h in feet of the beam as a function of the angle of inclination from Tyler's position to the steel beam is h = 250 tanθ feet

"The angle inclination of a line is the angle formed by the intersection of the line and the x-axis."

"The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."

We have

Adjacent side = 250 feet

From the figure,

We can write trigonometric function

Tanθ = \(\frac{AB}{BC}\)

Tanθ = \(\frac{h}{250}\)

⇒ h = 250 tanθ feet

Hence, The height h in feet of the beam as a function of the angle of inclination from Tyler's position to the steel beam is h = 250 tanθ

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Answer:

It is B i think i hope this helps

Step-by-step explanation:

If a line is perpendicular to a circle's radius at its outer endpoint, then the line is _Tangent_ to that circle.

A line segment which touches a circle specified to only one point is called a tangent to that circle.

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

If there is circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to the line L.

We need to find the if a line is perpendicular to a circle's radius at its outer endpoint, then the line is _____(what) to that circle.

If a line is perpendicular to a circle's radius at its outer endpoint, then the line is _Tangent_ to that circle.

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a) On a coordinate plane, points are at (1, 48.1), (2, 50.9), (3, 62.4), (4, 67), (5, 76.5), (6, 83.9), (7, 86.8), (8, 88.1), (9, 79.2), (10, 69.9), (11, 59.5), (12, 49.6)  best represents the data.

This is because the data represents a set of paired values, with the months as the independent variable (x) and the average maximum monthly temperature as the dependent variable (y). A scatter plot is the appropriate graph for displaying this type of data.

Option a shows the correct placement of the data points on a scatter plot, with the x-axis representing the months and the y-axis representing the average maximum monthly temperature. The points are clearly organized in a sequence from January to December, with an upward trend in temperature from the winter months to the summer months, followed by a gradual decrease in temperature in the fall and winter months.

Option b has the correct range of temperatures, but the points are not arranged in a logical sequence and are scattered randomly across the graph. Option c also has a similar issue with random placement of points and does not reflect the actual values in the data set. Option d only has three points and does not represent the complete data set.

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6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The number of routes that Paula can take using graph theory is; E: 4

We will observe that out of the 12 cities, 6 of them possess 3 edges going in/out of them.

The 6 cities are such that there are 2 at the top, 2 at the bottom, and 1 on each side.

In graph theory terms, we can say that they are of degree 3.

Thus, at least 1 edge connecting to each of these cities cannot therefore be used. Furthermore, the same concept applies to the start and end points, due to the fact that we don't want to return to them.

There are 6 + 2 = 8 vertices that we can tell have 1 unused edge, and then we have 17 - 13 = 4 unused edges to work with due to the fact that we have 17 edges in total, and as such must use exactly 13 of them).

Finally, we notice that at each of the 2 cities marked with an O on a path in the image attached, that there are 2 possibilities such that it's either we continue straight and cross back over that same path later, or we will make a left turn, and then turn rightward when we approach the junction again.

This gives us a total of;

2 * 2 = 4 possible different routes

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The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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Answer:

y = 24x - 148

Step-by-step explanation:

Equation of the tangent line is a straight line which can be modeled by the general equation of y = mx + c

To find the gradient (m) of this function we must first differentiate our original equation and then substitute in our x = 12.

We are only given an x coordinate, so we will substitute this into our original equation to find a y coordinate.

To find c we will substitute in x, y, and m into y = mx+c, and then solve for c.

Plug in the gradient and c into the general equation for our answer.

Answer:

a lot of kids and adults

Step-by-step explanation:

Answer:

9,955 years

Step-by-step explanation:

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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The zeros and the multiplicities are

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

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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To find the x-intercept, let y = 0.

You get 4x-0=12

x = 3

x-intercept is (3,0)

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

To find the y-intercept, let x = 0.

You get 0-2y=12

y = -6

y-intercept is (0,-6)

Answer:

A change from 250 to 620 represents a positive change (increase) of 148%

Use the formula found below on this webpage to find the percent change by replacing the given values:

Percent change = New - Old

|Old|

× 100%

Percent change = 620 - 250

|250|

× 100% =

370

250

× 100 = 148% (increase)

Where: 250 is the old value and 620 is the new value. In this case, we have a positive change (increase) of 148 percent because the new value is greater than the old value.

Step-by-step explanation:

Answer:

The answer would be C/third option

Step-by-step explanation:

To find volume you have to do LxWxH which is shown in the third option

Answer: the answer is c you multiply length times width times height

Step-by-step explanation:

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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Step 1. The two points that we have are:

And we are required to find the slope of the line that passes through these points.

Step 2. We will label the two points as (x1,y1) and (x2,y2):

Step 3. To find the slope, we will use the slope formula:

Substituting the known values:

Step 4. Simplify the operations:

Step 5. Simplify the fraction.

Both numbers 9 and 6 can be divided by 3.

9 divided by 3 is equal to 3,

and 6 divided by 3 is equal to 2.

Therefore, the fraction can be simplified as follows:

Answer:

Answer:

r = 5

Step-by-step explanation:

-12r + 24 = -36

-12r = -36 - 24

12r = 60

r = 5

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