Which equation represents the volume of the cone shown below, in cubic centimeters?



�
=
80
⋅
150
⋅
�
V=80⋅150⋅π

�
=
1
3
⋅
�
⋅
8
0
2
⋅
150
V=
3
1
​
⋅π⋅80
2
⋅150

�
=
1
2
⋅
�
⋅
8
0
2
⋅
170
V=
2
1
​
⋅π⋅80
2
⋅170

�
=
80
⋅
150
⋅
170
⋅
�
V=80⋅150⋅170⋅π

Step-by-step explanation:

\( {(216 {x}^{9} {y}^{4} )}^{ \frac{1}{3} } + {(81 {x}^{10} {y}^{8} ) }^{ \frac{1}{2} } \\ = ( {216}^{ \frac{1}{3}})( {x}^{ \frac{9}{3} } )( {y}^{ \frac{4}{3} } ) + ( {81}^{ \frac{1}{2} } )( {x}^{ \frac{1}{2} } )( {y}^{ \frac{8}{2} } ) \\ = 6 {x}^{3} {y}^{ \frac{4}{3}} + 9 {x}^{ \frac{1}{2} } {y}^{4} \)

Answer:

a

Step-by-step explanation:

got it right in my test

The most appropriate graphical representation for the grams of fiber from 1,000 different breakfast cereals sold in the United States is; Histogram, because there is a large set of data.

Since histogram is a graphical representation of the distribution of numerical data. This is consist of a series of adjacent rectangles, or bins, that are used to represent the frequency distribution of the data. The height of each bin corresponds to the number of data points that fall within a particular range or interval.

Hence, we have that each bin will represent the number of observations in an interval of grams of fiber.

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A rocket sent into space will continue to move in space indefinitely unless acted upon by an external force.

In the absence of external forces, such as gravity or atmospheric drag, an object in motion will remain in motion with a constant velocity according to Newton's first law of motion, also known as the law of inertia. This means that once the rocket's engines have powered it into space and the power source is depleted, there are no forces to slow it down or bring it to a stop. Therefore, the rocket will continue to float and move in space with its current velocity.

However, it is important to note that space is not entirely empty, and there are various objects present, such as asteroids, comets, and other celestial bodies. If the rocket were to collide with any of these objects, it would experience an unbalanced force that could alter its trajectory or cause it to stop moving. But in the absence of such collisions, the rocket will continue its motion in space indefinitely.

It is worth mentioning that even in the absence of external forces, factors like gravity from nearby celestial bodies can have a subtle influence on the rocket's trajectory over time. Nonetheless, the rocket will essentially continue its motion unless acted upon by an unbalanced force, as described in Newton's first law of motion.

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Below, you will learn how to solve the problem.

(a) To find the linear relationship y = mx + b between x = year and y = profit, we first need to find the slope (m) and the y-intercept (b).

The slope (m) is the change in y (profit) divided by the change in x (year):
m = (17 - 5)/(6 - 2)

m = 12/4

m = 3

Next, we can use one of the data points (2, 5) and the slope (3) to find the y-intercept (b):
5 = 3(2) + b
b = 5 - 6

b = -1

So the linear relationship between x = year and y = profit is:

y = 3x - 1

(b) To find the company's profit at the end of 3 years, we can plug in x = 3 into the equation:
y = 3(3) - 1

y = 8

So the company's profit at the end of 3 years is $8 million.

(c) To predict the company's profit at the end of 8 years, we can plug in x = 8 into the equation:

y = 3(8) - 1 = 23

So the company's profit at the end of 8 years is predicted to be $23 million.

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Yes, m∠ABC and m∠XYZ are congruent

No, lines FG and DE are not congruent

Yes, OR and OS are congruent

Yes, 2∠ and ∠4 are congruent.

Congruent angles are angles that have the same measure, in degrees and are often represented by the symbol "≅". While congruent line segments are two or more line segments that have the same length.

m∠XYZ = 180° - 140° {supplementary angles}

m∠XYZ = 40°

so;

m∠ABC and m∠XYZ are congruent

line FG = and line DE =

so;

FG and DE are not congruent

OR = 2in and OS = 2in

so;

OR and OS are congruent

∠2 and ∠4 are vertical angles and are equal so;

2∠ and ∠4 are congruent

Therefore, (m∠ABC and m∠XYZ), (2∠ and ∠4), and (OR and OS), are two pairs of angles and line segments respectively which are congruent, while the lines segments FG and DE are not congruent.

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The probability of a defect is 0.0013.

Given that the process standard deviation is 15, we can assume the process average is 9 (which is the mean of the given defect range).

Therefore, the defect range can be written as:

P(weight < 8.85) = P(X < 8.85 - 9) = P(X < -0.15)

and

P(weight > 9.15) = P(X > 9.15 - 9) = P(X > 0.15)

Since the standard deviation is 15, and the process control is at plus or minus 1 standard deviation, the range of values for defects can be written as:

P(-1×15 < X < 1×15) = P(-15 < X < 15)

Now, using the Normal distribution, we can calculate the probability of defects by finding the area under the distribution curve, outside of the process control. This is certainly outside the scope of this question, but the answer (to 4 decimals) is 0.0013.

Therefore, the probability of a defect is 0.0013.

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To compute the surface area of revolution about the -x- axis over the interval [0,1] for y=−3, we can use the formula:

SA = 2π ∫[a,b] y√(1+(dy/dx)²) dx

where a=0, b=1, and dy/dx is the derivative of y with respect to x. In this case, y=−3, so dy/dx=0.

Plugging in these values, we get:

SA = 2π ∫[0,1] -3√(1+0²) dx
SA = -6π ∫[0,1] dx
SA = -6π[x]₀¹
SA = -6π(1-0)

SA = -6π

Since surface area cannot be negative, we take the absolute value of the result, which gives us:
SA = 6π

Therefore, the surface area of revolution about the -x- axis over the interval [0,1] for y=−3 is 6π.

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Answer:

1. x = 47

2. x = 156

3. x = 62

4. x = 58

Step-by-step explanation:

1. 180 - 133 = 47

2. 180 - 24 = 156

3. 28 + 90 = 118. 180 - 118 = 62

4. 32 + 90 = 122. 180 - 122 = 58

Answer:

#1 x=47

#2 x=156

#3 x=62

#4 x=58

Step-by-step explanation:

I learned about this stuff yesterday.

The recursive formula in this case is;

Arithmetic, t0=15

and tn=2.8+tn−1

where n≥1

Option A

A recursive formula is a formula that defines a sequence of values in terms of its previous values. It provides a way of defining a sequence in a compact form, with each term of the sequence depending on one or more preceding terms.

In mathematics, recursive formulas are often used to define sequences. We can see that in this sequence, the first term is 15 and the common difference is obtained by simple subtraction .

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<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

10 x 10 x 10 x 10

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

First of all we need to find the equations of the lines :

y( red ) = - x + 2

y(blue) = 2x - 1

Then we must to put the equations equal to each other and going to to find the value of x :

\(- x + 2 = 2x - 1\)

Add both sides x

\( - x + x + 2 = 2x + x - 1\)

\(2 = 3x - 1\)

Add both sides 1

\(2 + 1 = 3x - 1 + 1\)

\( 3 = 3x\)

Switch sides

\(3x = 3\)

Divide both sides by 3

\( \frac{3x}{3} = \frac{3}{3} \\ \)

\(x = 1\)

After u the value of x , put it in one the equations to find the value of y :

\(y = - x + 2\)

\(y = - (1) + 2\)

\(y = - 1 + 2\)

\(y = 1\)

Thus the solution is ( 1 , 1 ) .

Answer:

\(\frac{x}{x+2} - \frac{4}{x-2}=1\\or, \frac{x(x-2)}{(x+2)(x-2)} -\frac{4(x+2)}{(x+2)(x-2)}=1\\or, \frac{x^2-2x}{x^2-4} -\frac{(4x+8)}{x^2-4} =1\\or, \frac{x^2-2x-(4x+8)}{x^2-4} =1\\or, \frac{x^2-2x-4x-8}{x^2-4}=1\\or, {x^2-6x-8} =x^2-4\\or, -6x-8=-4\\or, 3x+4=2\\or, 3x = -2\\or, x =\frac{-2}{3}\)

Answer:

45x261

Step-by-step explanation:

261

x45

---------

11745

-0.05 is the average rate of change in median age per year from 1930 to 1960.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given,  a data set that gives the median age of an American man at the time of his first marriage.

Year                             Median age

1910                              25.1

1920                             24.6

1930                             24.3

1940                             24.3

1950                             22.8

1960                             22.8

1970                             23.2

1980                             24.7

1990                             26.1

2000                             26.8

The average rate of change from 1930 to 1960 = (-24.3 + 22.8) / (1960-1930)

The average rate of change from 1930 to 1960 = -0.05

Therefore, the average rate of change in median age per year from 1930 to 1960 is -0.05.

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According to the question the median is most probably less than 36.

For a positively skewed distribution, the mode is the value that occurs most frequently, the mean is the average value, and the median is the middle value when the data is arranged in ascending order.

Given that the mode is \(\(x = 31\)\) and the mean is \(\(36\),\) we can infer that the majority of the data is clustered towards the left (lower values) and there are some relatively high values that pull the mean to the right.

Since the distribution is positively skewed, the median is expected to be lower than the mean. This is because the presence of outliers or higher values on the right side of the distribution affects the mean more than the median.

Therefore, the median is most probably less than 36.

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The cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

A Cartesian equation is essential in mathematics. It corresponds to a mathematical formula that expresses the connection between elements as a function of their positions on a plane known as Cartesian.

A two-dimensional coordinate scheme called the Cartesian plane employs a horizontal x-axis and an upward y-axis to identify locations in space.

Given that, \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\).

So, \(csc\hspace{0.1cm}\theta=cosec \hspace{0.1cm}\theta\).

The equation becomes as follows:

\(r=2cosec\hspace{0.1cm} \theta\)

By using the trigonometric equation \(cosec\hspace{0.1cm} \theta=\frac{1}{sin\hspace{0.1cm}\theta}\), we get

\(r= \frac{2}{sin \hspace{0.1cm} \theta}\)

Multiplying both sides by \(sin\hspace{0.1cm}\theta\), we get

\(r \hspace{0.1cm}sin\hspace{0.1cm}\theta =2\hspace{0.1cm}\frac{sin\hspace{0.1cm}\theta}{sin\hspace{0.1cm}\theta}\)

\(rsin\hspace{0.1cm}\theta=2\)

By the parametric equations \(x=rcos\hspace{0.1cm}\theta\) and \(y=rsin\hspace{0.1cm}\theta\), we get

\(y=2\)

It is a horizantal line.

Hence, the cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

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The cartesian equation for the curve is: y = 2 This is a horizontal line passing through the point (0,2).

To find a Cartesian equation for the curve given by the polar equation r = 2 csc(θ), we will convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) using the following relationships:

x = r * cos(θ)
y = r * sin(θ)

Step 1: Express r in terms of θ
r = 2 csc(θ)

Step 2: Since csc(θ) = 1 / sin(θ), rewrite the equation as
r = 2 / sin(θ)

Step 3: Express x and y in terms of r and θ
x = r * cos(θ)
y = r * sin(θ)

Step 4: Substitute r from Step 2 into the y equation
y = (2 / sin(θ)) * sin(θ)

Step 5: Simplify the equation
y = 2

The Cartesian equation for the given polar equation is y = 2, which represents a horizontal line passing through the point (0, 2).

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Answer:

4.8

Step-by-step explanation:

It would go closer to the five on the number line. Hope this helps!

Answer:

hope this helps you

a lot

have a great day..

Answer:

12.5% increase

Step-by-step explanation:

To find the percentage increase ( students joined)

Take the new number minus the original amount

There are 27 students in the class after 3 joined

27 - 24 = 3

Divide by the original amount

3/24 = 1/8 = .125 = 12.5%

Answer:

12.5%

Step-by-step explanation:

Intial number = 27

Final number = 24 + 3 = 27

Percentage change :-

Considering the definition of an inequality, the inequality that expresses the previous relationship is 12 < x ≤ 12.2

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that to fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm.

It means that the length has to be strictly greater than 12 cm but less than or equal to 12.2 cm. In other words, length of frame must be longer than 12 cm means that x>12, while ength of frame not longer than 12.2 cm means x≤12.2

Finally, the inequality that expresses the previous relationship is

12 < x ≤ 12.2

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Answer:

i think this is  A.  hope this helps.

Step-by-step explanation:

Step-by-step explanation:

Sine

Answer:

B

Step-by-step explanation:

sorry if its wrong

Answer:

I think your answer would be B.)

Step-by-step explanation:

srry if wrong hope this helps

A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).

The three types of arrays are index, multidimensional and associative array.

my_nums= [5,10,15] is an array that stores multiples of 5.

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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

What is an array?

An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.

What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.

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Answer:

The polynomial is positive.

Answer:

24 ft

Step-by-step explanation:

16 cm to 32 ft

multiply by two , and change units to ft

12 cm to ft scale

multiply by 2 and change units to ft

You get

24 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Here's the solution,

the ratio of length and breadth of the house is :

=》16 : 12

=》4 : 3

so, let's take the actual breadth be ' x '

we know,

=》32 : x = 4 : 3

because it's the ratio of length and breadth of the house

so,

\( \dfrac{32}{x} = \dfrac{4}{3} \)

=》

\(x = 32 \times \dfrac{3}{4} \)

=》

\(x = 24\)

hence, the actual breadth of the house is 24 feet