A random survey found that 8 of the 23 people surveyed prefer listening to rock music. Based on those results, about how many people prefer listening to rock music from a population of 115 people?

the left is number 1 graphed. middle is number 2.

right is number 3.

Answer:

yessir

Step-by-step explanation:

Answer: 3360 ft squared

Step-by-step explanation:

Short side : 30 x 14 = 420

Long side 30 x 3 x 14 = 1260

420 + 420 + 1260 + 1260 =  3360

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sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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Answer:

21 cm

Step-by-step explanation:

The perimeter is the length of the outside of a shape. In this case, we can simply add up all the edges and multiply by .5(the length of one edge).

Horizontal Edges: 22

Vertical Edges: 20

Total: 42

Perimeter = \(42 * 0.5 = 21 cm\)

Answer: 21

Step-by-step explanation:

I checked it on AOPS

If rent for 3 days of fogging machine is $38, then it will cost $174 for renting it for 9 days.

Let the total cost of renting the fog machine for 9 days be = x;

We know that, the rental cost is $38 for every 3 days.

So, for 9 days, we need to rent the fog machine for three 3-day periods.

This can be written as:

⇒ Rental cost = 3 × ($38) = $114

The delivery cost is a one-time fee of $60.

So, the equation for the total cost can be written as,

⇒ x = Rental cost + Delivery cost

⇒ x = $114 + $60

⇒ x = $174

Therefore, the cost of renting the fog machine for 9 days is $174.

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The given question is incomplete, the complete question is

The drama club found that the best price for renting a fog machine was $38 for every three days, plus a one time $60 delivery fee. Find the cost of renting the fog machine for 9 days.

Hey there :)

\(5 \times \frac{1}{5} \)shows the '1 value property'.

PROOF :-

Simplifying it, we get,

\(5 \times \frac{1}{5} \\ => \( \frac{5}{5} \\ = > 1\)

So,

\(5 \times \frac{1}{5}\)shows ' 1 value property '

Answer:

A and C

Step-by-step explanation:

The shapes that have 4 congruent sides are squares and rhombi.

The integral to find the volume of the solid is given by V = ∫₀¹ 2πx(4e^-x²) dxV = 2π ∫₀¹ x(4e^-x²) dx.

A. Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line: y = ln(x), y = 0, x = 7 about the y-axis

The region is shown below:The region is bounded by the curves y = ln x, y = 0 and x = 7. The region is rotated about the y-axis.

To calculate the volume of the solid, we will use the disk method.

Let us consider an infinitesimally thin disk with radius x and thickness dx.

Volume of the disk = πx² dy

Volume of the solid can be calculated by integrating the volume of the disks from y = 0 to y = ln 7.

∴ the integral to find the volume of the solid is given by V = ∫₀^(ln7) πx² dyV = ∫₀^(ln7) π (e^y)² dy

B. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis: y = 4e−x², y = 0, x = 0, x = 1

The region is shown below:The region is bounded by the curves y = 4e^-x², y = 0, x = 0 and x = 1. The region is rotated about the y-axis. To calculate the volume of the solid, we will use the shell method.

Let us consider an infinitesimally thin shell with radius x, height y and thickness dx.

Volume of the shell = 2πxy dx

Volume of the solid can be calculated by integrating the volume of the shells from x = 0 to x = 1.

∴ the integral to find the volume of the solid is given by V = ∫₀¹ 2πx(4e^-x²) dxV = 2π ∫₀¹ x(4e^-x²) dx

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The average annual return on this investment from 2011 to 2015 is approximately 0.8%.

To calculate the value of a $1 investment made at the beginning of 2011 and its average annual return by the end of 2015, we need to multiply the successive annual returns and calculate the cumulative value.

The successive annual returns on small U.S. stocks from 2011 to 2015 are:

-3.80%, 19.15%, 45.91%, 3.26%, and -3.80%.

To calculate the cumulative value, we multiply the successive returns by the initial investment value of $1:

(1 + (-3.80%/100)) * (1 + (19.15%/100)) * (1 + (45.91%/100)) * (1 + (3.26%/100)) * (1 + (-3.80%/100))

Calculating this expression, we find that the cumulative value is approximately $1.044, rounded to three decimal places.

Therefore, a $1 investment made at the beginning of 2011 would have been worth approximately $1.044 at the end of 2015.

To calculate the average annual return, we need to find the geometric mean of the annual returns. We can use the following formula:

Average annual return = (Cumulative value)^(1/number of years) - 1

In this case, the number of years is 5 (from 2011 to 2015).

Average annual return = (1.044)^(1/5) - 1

Calculating this expression, we find that the average annual return is approximately 0.008 or 0.8% per year, rounded to two decimal places.

Therefore, the average annual return on this investment from 2011 to 2015 is approximately 0.8%.

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Answer:

2 and 5 hundredths

Step-by-step explanation:

3 - 1 = 2

14 hundredths - 9 hundredths = 5 hundredths

hence you get 2 and 5 hundredths

The length of side x in simplest radical form with a rational denominator is root 30.

Result for an image Equilateral triangle is seen below. In the simplest radical form with a rational denominator, determine the length of side x.

and the following is the equation for an equilateral triangle's height: h is equal to a 3 / 2 where an is one of the triangle's sides.

The total of the three sides makes up the perimeter of an equilateral triangle. The fundamental formula for finding an equilateral triangle's perimeter is P = 3a, where "a" stands for one of the triangle's sides. An equilateral triangle has three equal sides, hence the sum is a + a + a = 3a. Height equals 3a/2.

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Answer:

7.89 seconds

Step-by-step explanation:

using the quadratic formula (-b+-√(b^2-4ac))/2a

a=-16 b=119 c=57

x=-0.451

and

x=7.889

time cant be negative so use the positive x

Time required for the rocket to hit the ground would be 7.9 s.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given the quadratic equation as;

-16x² + 119x + 57 = 0

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

Here, a = -16, b = 119 and c = 57

b² - 4ac = (119 )² - 4(-16)(57)

= 14161 + 3648

= 17809

So, x = [-(119) ± √17809]/ 16(2)

= (-119 ± 133.4)/32

Therefore, the time is 7.9 s.

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Answer: -657,987

Step-by-step explanation:

Answer:

its a black page odpoveď bude googliť

Step-by-step explanation:

Answer: 5/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

I cant fully answer it, I'm having trouble with too. But i know for a fact that the cost of a pound of pistachios is 12 dollars. The cost of a pound of almonds is 8 dollars. Sorry -_-

The kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.

The potential energy of the roller coaster at the top of the hill can be calculated as:

PE = mgh

where m is the mass of the car and its passengers, g is the acceleration due to gravity \((9.8 m/s^2\)), and h is the height of the hill (62 m). Thus, we have:

PE =\((1088 kg)(9.8 m/s^2)(62 m) = 670,720 J\)

At the bottom of the hill, all of the potential energy has been converted to kinetic energy. The kinetic energy of the roller coaster can be calculated as:

\(KE = (1/2)mv^2\)

where v is the speed of the roller coaster at the bottom of the hill. Thus, we have:

\(KE = (1/2)(1088 kg)(33 m/s)^2 = 594,576 J\)

Therefore, the kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.

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Answer:

0.001

Step-by-step explanation:

Answer:

\(\frac{1}{1000}\)

Step-by-step explanation:

\(10^{-3}\)

\(= \frac{1}{10^{3}}\)

\(= \frac{1}{1000}\)

The area of the regular polygon with an apothem of 15 inches will be 2338.27 square inches.

Let 'a' be the apothem and 'b' be the regular side length.

Then the area of the regular polygon will be

A = 3 × a × b

We know that each angle of the regular hexagon is 60°.

Then the base length is given as,

b = 2a tan θ

b = 2 x 15 x tan 60°

b = 51.96 in

Then the area of the regular hexagon is given as,

A = 3 × a × b

A = 3 × 15 × 51.96

A = 2338.27 square inches

The area of the regular polygon with an apothem of 15 inches will be 2338.27 square inches.

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Answer:

Step-by-step explanation:

100%-30%=70%

70%=2100

divide by 7

10%=300

x by 10

100%= 3000

Answer:

It should be d, The bases do not have the same area because the volumes are not the same.

Step-by-step explanation:

did it on the unit review test

The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

The volume of a cone is given by the formula:

A = πr²h/3

The volume of a cylinder is given by the formula:

A = πr²h

It is given that the height of both the cylinder and the cone is the same.

This means that the only way variable that influences the volume is the radius of the base.

The volume of the cylinder is three times the volume of the cone when the radius and height are equal.

But the volume of the cylinder is two times the volume of the cone in the given question.

This means that they have different radii which means that the bases are different.

Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.

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Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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Answer:

2280

Step-by-step explanation:

As in understandable steps,

1512x12 = 18144

18144 / 7

= 2592

2592 - 312

= 2280

An equation is formed of two equal expressions. John's salary before the pay raise is $2280.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the pay of John before the raise be x.

As it is stated that John's pay was increased by $312. And he saves 7/12 of his pay which is equal to $1512. Therefore, the equation that can represent the current saving John has,

\(\dfrac{7}{12}(x+312)=1512\\\\(x+312) = \dfrac{1512 \times 12}{7}\\\\x+312= 2592\\\\x =2592-312\\\\x = 2280\)

Hence, John's salary before the pay raise is $2280.

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The number of plastic tubing needed to fit around the edge of the pool is 141.1 ft.

The number of plastic tubing needed to fit around the area is calculated from the difference between the area of the rectangle and area of the circular pool.

Area of the circular pool is calculated as;

A = πr²

A = π (15 ft / 2)²

A = 176.7 ft²

The area of the rectangle is calculated as follows;

A = 20 ft x 30 ft

A = 600 ft²

The difference in the area = 600 ft² - 176.7 ft² = 423.3 ft²

The number of plastic tubing needed to fit around the edge of the pool is calculated as;

n = 423.3 ft² / 3 ft

n = 141.1 ft

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Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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The recursive formula given is used to define the function f(n) recursively. And the values are  f(2) = 38, f(3) = 13106, f(4) = 62748518, f(5) = 381566830872922830

To find f(2), f(3), f(4), and f(5) using the given recursive definition, we can apply the definition repeatedly.

Given:

f(0) = -1

f(1) = 2

f(n+1) = 3f(n)^2 - 4f(n-1)^2

We start with the initial values:

f(2) = 3f(1)^2 - 4f(0)^2

= 3(2)^2 - 4(-1)^2

= 12 - 4

= 8

Next, we use the recursive definition:

f(3) = 3f(2)^2 - 4f(1)^2

= 3(8)^2 - 4(2)^2

= 192 - 16

= 176

Similarly,

f(4) = 3f(3)^2 - 4f(2)^2

= 3(176)^2 - 4(8)^2

= 3(30976) - 256

= 92928 - 256

= 92672

f(5) = 3f(4)^2 - 4f(3)^2

= 3(92672)^2 - 4(176)^2

= 3(8570770944) - 4(30976)

= 25712312832 - 123904

= 25712288928

Therefore, f(2) = 8, f(3) = 176, f(4) = 92672, and f(5) = 25712288928.

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Answer:

  (c)  two right triangles, each with both legs 40 inches long

Step-by-step explanation:

You want to know which pair of triangles are congruent, given their descriptions.

There are basically 4 theorems that allow you to claim congruence of triangles:

  AAS, ASA, SAS, SSS

A fifth one applies to right triangles only: HL.

These tell you that you need to have three matching parts: 3 sides, 2 sides and the angle between (except right triangle), or 1 side and 2 angles.

An isosceles triangle with only one or two sides defined is not sufficient.

A right triangle with only the hypotenuse defined is not sufficient.

A right triangle with two legs and the (right) angle between them has a sufficient number of matching parts to be able to claim congruence to another triangle similarly defined.

Answer:

Step 1: Equation at the end of step 1

(((x^{2} )-4xy)+(4(((x

2

)−4xy)+(4 ×(y^{2} )))-3^{2} -z^{2}(y

2

)))−3

2

−z

2

Step 2: Equation at the end of step 2

(((x^{2} )-4xy)+2^{2} y^{2} )-3^{2} z^{2}(((x

2

)−4xy)+2

2

y

2

)−3

2

z

2

Step 3: Final Result

x^{2} -4xy+4y^{2} -9z^{2}x

2

−4xy+4y

2

−9z

2