The volume of a cone with height
h
and radius
r
can be found using the formula
V
=
1
3
π
r
2
h


Find the volume of a cone with radius 8 feet and height 7 feet.

Answer:

x = -7

Step-by-step explanation:

So we are asked to find what x is equal to in the equation:

\(\frac{x}{7}-4=-5\)

In other words, we are asked to solve for x.

\(\frac{x}{7}-4=-5\)

Add 4 to both sides of the equation.

\(\frac{x}{7}=-1\)

Multiply both sides by 7.

x = -7

So we have solve the equation for x and have found that x = -7.

I hope you find my answer and explanation to be helpful. Happy studying.

The key features of the quadratic equation y = - x² - 2x + 1 is  line of symmetry is x = -1; vertex = (h, k) = (-1, 2); y-intercept is (0, 1);  

the domain = -∞ ≤ x ≤ ∞ and the range = 2 ≥ y ≥ -∞.

What are the key features of a quadratic function?

Three properties that are universal to all quadratic functions:

1) The graph of a quadratic function is always a parabola that either opens upward or downward (end behavior);

2) The domain of a quadratic function is all real numbers; and

3) The vertex is the lowest point when the parabola opens upwards; while the vertex is the highest point when the parabola opens downward.

According to the given question:

The given equation is y = - x² - 2x + 1

The general vertex form is y = a·(x - h)² + k

h = -b/(2·a) = 2/(-2) = -1

k = f(h) = -(-1)² - 2×(-1) + 1 = 2

Therefore;

1) The line of symmetry goes through the vertex and the line of symmetry is x = -1

2) The vertex = (h, k) = (-1, 2)

3) The y-intercept is the coordinate of the point where x = 0 which is  

   (0, 1)

4) The domain are the possible x-values, therefore,

    the domain = -∞ ≤ x ≤ ∞

5) The range is the possible values y-values.

    On plotting the graph, we have the range = 2 ≥ y ≥ -∞

Complete question:

Identify the key features of the Quadratic Function y = - x² - 2x + 1

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Answer:

If the force (F units) between two particles is inversely proportional to the square of the distance (x units) between them, we can write the relationship between F and x as F = k/x^2, where k is a constant.

When the distance between the particles is reduced to 0.5x, the relationship between the new force (F') and the distance (0.5x) can be written as F' = k/(0.5x)^2.

If we divide F' by F, we find that the ratio of the new force to the original force is equal to (k/(0.5x)^2) / (k/x^2) = (1/(0.5x)^2) / (1/x^2) = (4/x^2) / (1/x^2) = 4.

Therefore, the ratio of the force to the original force when the distance between the particles is reduced to 0.5x is 4.

A sample that does not represent the entire group of interest is called a biased sample.

A biased sample is a sample that doesn't reflect the real-world population it is supposed to represent. It happens when the sample is chosen in such a way that some members of the population are less likely to be included than others.

Therefore, a biased sample may not be an accurate representation of the entire population.

For example, if a researcher wants to know how many people in a given area have access to the internet and chooses a sample of people from a high-income neighborhood, the results may be biased because people from low-income areas may have lower rates of internet access.

A biased sample can lead to inaccurate conclusions, and therefore, it's important to ensure that the sample is representative of the population. A random sample, on the other hand, ensures that all members of the population have an equal chance of being included in the sample.

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Answer:

9

Step-by-step explanation:

Given that :

Number of intersection driven through = 36

At 4 of every 16 intersections, there is a red light;

Hence, the rate of red light per intetaection could be calculated as ;

Number of red lights / number of intersections

4 / 16 = 1 /4

Hence, driving through 36 intersections,

Number of red lights will be ;

(1 /4) * 36

= 9 red lights = 9 stops

The simplest form of a fraction is when the numerator (top number) and denominator (bottom number) have no common factors.

A fraction is a mathematical expression that represents a part of a whole, where a numerator is divided by a denominator. To simplify a fraction, we must divide both the numerator and the denominator by the same number until we cannot divide any further. To simplify a fraction, you must divide both the numerator and denominator by their greatest common factor (GCF).

For example, let's simplify the fraction 24/36. The GCF of 24 and 36 is 12. So, dividing both numbers by 12 will give us the simplified fraction 2/3.

24 ÷ 12 = 2

36 ÷ 12 = 3

Therefore, the simplified fraction of 24/36 is 2/3.

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Answer:

18.

Domain: X E \{-3,2}

Y-Intercept: 1/2

X-Intercept: 3

19.

Domain: (I think it's none)

Y-Intercept: -2

X-Intercept: 2

20.

Domain: X E R\ {-3,1}

y-INTERCEPT: 2/3

x-INTERCEPT: -1

Step-by-step explanation:

The two data sets for which a linear regression model is reasonable include the following: a) Aaliyah’s and Julio’s data sets.

In Mathematics, a positive correlation is used to described a scenario in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. This ultimately implies that, when one variable increases, the other increases, as well.

In order to determine if a data set has a good linear relationship, we would have to interpret the correlation coefficient (r), which typically ranges between -1 to 1 as depicted by both Aaliyah’s and Julio’s data sets.

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Complete Question:

Aaliyah, Julio, Dan, and Miriam are each studying sets of data. Aaliyah is working with 14 data pairs with a correlation coefficient of 0.9. Julio is working with 13 data pairs with a correlation coefficient of –0.8. Dan is working with 10 data pairs with a correlation coefficient of 0.1. Miriam is working with 15 data pairs with a correlation coefficient of –0.2. For which two data sets is a linear regression model reasonable?

a)Aaliyah’s and Julio’s data sets

b)Julio’s and Miriam’s data sets

c)Dan’s and Miriam’s data sets

d)Miriam’s and Aaliyah’s data sets

Step-by-step explanation:

what is the question ?

without an actual question I can only "daydream" things about this information.

EB is the diameter, FB is therefore the radius.

since FB = 3 units, EB = 2×FB = 2×3 = 6 units.

the arc angle AB = 120°.

if you need to express the angle in radians, remember :

360° (the full circle) = 2pi

120° = 360/3 = 2pi/3

the arc angle AE is the supplementary angle to AB (both together have 180° or 2pi/2 = pi).

180 = AB + AE = 120 + AE

AE = 180 - 120 = 60°

60° = 360/6 = 2pi/6 = pi/3

the arc angle BC = 45°.

45° = 360/8 = 2pi/8 = pi/4

the arc angle CD = 30°

30° = 360/12 = 2pi/12 = pi/6

the arc angle ED is the supplementary angle to BC and CD.

180 = ED + BC + CD = ED + 45 + 30 = ED + 75

ED = 180 - 75 = 105°

105° = pi - pi/4 - pi/6 = 12pi/12 - 3pi/12 - 2pi/12 = 7pi/12

the sum of

AB + BC + CD = 2pi/3 + pi/4 + pi/6 =

= 4×2pi/12 + 3pi/12 + 2pi/12 =

= 8pi/12 + 3pi/12 + 2pi/12 = 13pi/12

so, nothing fits to any of your answers.

again, I am not sure what problem you need to solve here.

maybe you can build your answer out of the various pieces I gave you here.

Answer:

(a)  5/12

Step-by-step explanation:

to solve this problem you can make all fractions equivalent with 12 as the denominator

a) 5/12

b) 2/3 = 8/12      Multiply top and bottom by 4

c) 5/6 = 10/12     Multiply top and bottom by 2

d) 3/4 = 9/12       Multiply top and bottom by 3

if you compare numerators, the smallest one is the closest to zero, which would be (a) 5/12

Answer:

A 5/12

Step-by-step explanation:

first you need to round these all to /12 so a is 5/12

12/3 is 4 so multiply 4 by two which means b is 8/12

12/6 is 2 so multiply 5 by two which gives us c = 10/12

12/4 is 3 and multiply 3 x 3 which is 9 so d is 9/12

5 is the lowest decimal/fraction which makes it the closest to 0

The sum of the angle measures of the triangle is A + B + C = 180. The values of x and y are 100° and 50°.

The three interior angles of a triangle will always have a sum of 180°. A triangle cannot have an individual angle measure of 180°, because then the other two angles would not exist. The three angles of a triangle need to combine to 180°. Hence, for a triangle with interior angles A, B and C, the equation that represents the sum of the angle measures of the triangle would be given by A + B + C = 180.

Based on the provided information, the three interior angles of a triangle are x, y, and 30°. The given equation is x + 2 = 3y. Hence, x = 3y – 2

As the sum of angles in a triangle is 180,

x + y + 30 = 180

x + y = 180 – 30

x + y = 150

As, x = 2y, the equation becomes

2y + y = 150

3y = 150

3y = 150

y = 50°

Since, x = 2y = 2(50) = 100°

Note: The question is incomplete. The complete question probably is: Write an equation that represents the sum of the angle measures of the triangle. The equation is __=180. Use your equation and the equation shown to find the values of x and y. Given equation: x = 2y. The three angles of the triangle are x, y, and 30°.

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Answer:

99 and 33

Step-by-step explanation:

let x and y be the 2 numbers, with x being the larger of the 2, then

x + y = 132 → (1)

x - y = 66 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y) = 132 + 66

2x + 0 = 198

2x = 198 ( divide both sides by 2 )

x = 99

substitute x = 99 into (1) and solve for y

99 + y = 132 ( subtract 99 from both sides )

y = 33

the 2 numbers are 99 and 33

The lower confidence interval of the population mean is 34.16.

To construct a 95% confidence interval for the population mean, we can use the formula:

CI = sample mean ± (z-score)(standard error)

Where the z-score is determined by the level of confidence and can be found using a z-table or calculator. For a 95% confidence interval, the z-score is 1.96.

The standard error can be calculated using the formula:

standard error = population standard deviation / √(sample size)

Substituting the given values, we get:

standard error = 2.9 / √46 = 0.427

Now we can plug in the values into the formula to get the confidence interval:

CI = 35 ± (1.96)(0.427) = 35 ± 0.837

The lower confidence interval of the population mean is obtained by subtracting the margin of error from the sample mean:

lower confidence interval = 35 - 0.837 = 34.16 (rounded to 2 decimal places)

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Answer:

X=30⁰

Step-by-step explanation:

X=120-60/2

X=60/2

x=30

hope it helps....

The response variable in this experiment is the length of shots played by the golfers in a subsequent round after wearing the wrist bracelet. So, correct option is C.

This variable is of interest because it measures the potential impact of the wrist bracelet on the golfer's performance.

In this experiment, the independent variable is the type of wrist bracelet worn by the golfer - one with magnets and the other without magnets. The dependent variable, or response variable, is the length of the shots played by the golfer in a subsequent round.

To conduct the experiment, the golfers are randomly assigned to either wear a bracelet with magnets or without magnets. This is done to ensure that there is no bias in the sample and that each group has similar characteristics. The golfers then play normally for a month, and their shots are recorded in a subsequent round.

By comparing the lengths of shots played by the two groups, the golfer can determine if wearing a wrist bracelet with magnets has an impact on their performance. If there is a significant difference between the two groups, it may suggest that the magnets in the wrist bracelet improve balance and the length of shots played off the tee.

So, correct option is C.

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Complete question is:

Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and finds 200 volunteers who play golf to participate in an experiment. Half of the golfers are randomly assigned to wear a bracelet with magnets, while the other half wear a bracelet without magnets. Each golfer plays normally for a month, after which the length of their shots in a subsequent round is recorded.

What is the response variable in this experiment?

a. the age of each golfer

b. the 200 volunteers

c. the length of shots played by the golfers

d. whether the golfers wear or do not wear the bracelet

Answer:

.0000269 hectograms/ deciliter

2.69 * 10^e-5 hectograms/ deciliter

Step-by-step explanation:

micro grams to hectograms

10^8 micrograms = 1 hectogram

milliliters to deciliter

100 milliliters = 1 deciliter

Using conversion factors

26.9 microgram         1 hectogram           100 milliliters

----------------------- * ---------------------------  * ---------------------

milliliter                     10^8 micrograms           1 deciliter

2690 hectograms

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

10^8 deciliters

.0000269 hectograms/ deciliter

2.69 * 10^e-5 hectograms/ deciliter

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer:

1) La opción correcta es;

c) 0

2) La opción correcta es;

c) x = 2

Step-by-step explanation:

1) La forma general de una ecuación cuadrática se puede escribir en la forma;

a · x² + b · x + c = 0

Dónde;

a, y b son los coeficientes de x², x y c es el término constante

Por tanto, para que exista un polinomio de 2º grado es necesario que el coeficiente a sea diferente de 0

De lo que tenemos;

(0) × x² + b · x + c = 0, lo que da;

(0) × x² + b · x + c = b · x + c = 0 que es una ecuación lineal o un polinomio de primer grado

Por tanto, la opción correcta es c) 0

2)

La ecuación dada se presenta como sigue;

f (x) = x² - 5 · x + 6 = 0

Usando el método de prueba y error, tenemos;

Cuando x = 0

f (0) = 0² - 5 · (0) + 6 = 6 que no es igual a 0 y, por lo tanto, no es una solución

Cuando x = 1

f (1) = (1) ² - 5 · (1) + 6 = 1 que no es igual a 0 y por lo tanto, no es una solución

Cuando x = 2

f (2) = (2) ² - 5 · (2) + 6 = 0 que es igual a 0 y por lo tanto, es una solución

Cuando x = -2

f (1) = (-2) ² - 5 × (-2) + 6 = 20 que no es igual a 0 y por lo tanto, no es una solución

Por tanto, la opción correcta es c) x = 2

The horizontal line test is a method used to determine if a given function is one-to-one, which means that for every unique x-value, there is a unique y-value. A function that is one-to-one can be inverted, meaning that it has an inverse function.

The inverse function of a one-to-one function is a function that undoes the original function.

The horizontal line test is used to determine if a given function is one-to-one by drawing a horizontal line through the graph of the function and seeing if the line intersects the graph at most once.

If the function is one-to-one, it has an inverse function and it can be found by switching the x and y values and solving for y.

For example, if the original function is f(x) = 2x + 1, its inverse function is f^-1(x) = (x-1)/2. This inverse function undoes the original function and it can be used to solve equations, find derivatives, and study geometric transformations.

It's important to note that the horizontal line test is only a sufficient condition, meaning that a function that passes the horizontal line test is one-to-one, but not all one-to-one function pass the horizontal line test.

In conclusion, the horizontal line test is a method used to determine if a given function is one-to-one, which is important because one-to-one functions can be inverted.

The inverse function undoes the original function, and it can be found by switching the x and y values and solving for y. The test is simple and easy to apply, but only a sufficient condition.

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The group that worked with men between the ages of 16 and 25, providing them with job training as well as with part-time work was the Civilian Conservation Corps (CCC).The Civilian Conservation Corps (CCC) was a New Deal program established by President Franklin D.

Roosevelt in 1933 in response to the Great Depression. It was a public work relief program that operated from 1933 to 1942 in the United States for unemployed and unmarried men between the ages of 16 and 25.The CCC provided jobs for millions of unemployed young men, particularly in rural areas. It was designed to conserve natural resources in rural areas through conservation and development activities, including soil conservation, forestry, and state and national parks development. In addition, it provided valuable training and education opportunities for young men who had little or no education.

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Answer:

A deductible is the amount you pay for a service before the plan shares the cost of the service with you. A copay is a set amount you pay for the service. Coinsurance is when you pay a percentage of the cost for an item or service.

The questions for grade 7 math worksheets are typically prepared by math teachers, curriculum specialists, and educational publishers.

These professionals use their knowledge of math concepts and pedagogy to create questions that are appropriate for the grade level and aligned with educational standards.

Additionally, they may use feedback from students and other teachers to refine the questions and ensure they are effective for teaching and learning. It is important for the questions to be clear, accurate, and challenging in order to help students develop their math skills and prepare for more advanced concepts.

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Answer:

1) 27/2 2) 8pi 3) 48 4) 16+2pi

Step-by-step explanation:

1) The length of the triangle is 9 (found by finding the distance between (-5,-3) and (4,-3)) and the height is 3 (found by finding the distance between (1,0) and (1,-3)). The area of a triangle is 1/2 (length times height) which in this case is 27/2.

2) The shape is a semicircle, so the area is 1/2 pi*r^2.

1/2 * pi * r^2=8pi

3) B*H=8*6=48

4) The figure is a semicircle and a square.

The area of the semicircle is 1/2 * pi * r^2=2pi

The area of the square is b*h=4*4=16

The area is 16+2pi.

Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.

The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).

To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.

We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.

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Answer:

Daniel is rollerblading at 15 miles per hour

Daniel can go 3 miles in 12 minutes so we do 12÷3 to find out how many minutes it takes to go 1 mile which is 4 now we do 60÷4 to get 15

Alternatively we could do 60÷12 to get 5 then do 3×5 to get 15

Step-by-step explanation:

Answer:

KL

Step-by-step explanation:

To be certain to get one sock of each color, we need to pull at least the maximum number of socks of any single color.

In this case, there are 10 black socks, so we need to pull at least 10 socks to be certain to get one of each color.

Therefore, the minimum number of socks that must be pulled at random to be certain to get one of each color is 10.

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19 socks must be pulled at random to guarantee obtaining one sock of each color. To be certain to get one of each color, we need to consider the worst-case scenario. Let's assume we first pull out all the red socks. In this case, we would still need to pull out the remaining blue and black socks.

Since there are 8 blue socks and 10 black socks, the maximum number of socks we would need to pull out to guarantee having one of each color is 8 + 10 + 1 = 19.

To understand why we add 1 at the end, let's break it down:
- We pull out 8 blue socks, and at this point, we have 6 red and 2 black socks left.
- Next, we pull out the remaining 6 red socks, and we have 2 black socks remaining.
- Finally, we pull out the remaining 2 black socks, and now we have one of each color.

Therefore, we can conclude that we need to pull out a total of 19 socks to be certain of getting one sock of each color.

In conclusion, 19 socks must be pulled at random to guarantee obtaining one sock of each color.

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Answer:

Step-by-step explanation:

if its asking how many people there are it would be 40,000

Mother, Father, 2 kids=4

4 x 10,000= 40,000