Find the volume of this cone.


Round to the nearest tenth.


7in


4in

Answer:

10

Step-by-step explanation:

The solution for the quadratic function by factoring x^2 +10x+9-0 is x = -1 and x = -9.

Given that the equation is x^2 +10x+9-0.

To solve the quadratic equation x^2 + 10x + 9 = 0 by factoring, follow the steps given below:

First we need to find two numbers that multiply to 9 and add to 10. These numbers are 1 and 9:

x^2 + 10x + 9 = (x + 1)(x + 9)

So the solutions to the equation are the values of x that make each factor equal to zero:

x + 1 = 0 or x + 9 = 0

Solving for x in each case, we get:

x = -1 or x = -9

Therefore, the solutions to the quadratic equation x^2 + 10x + 9 = 0 are  x = -1 and x = -9.

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Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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Answer:

8

Step-by-step explanation:

she reads 48 for 6 hours one hour 48.6

Answer:

597

Step-by-step explanation:

The general formula for an exponential function is P = P0*a^x, where P0 is the initial (or original) value, a is the base, and x is the exponent.

Currently, we have P0 (which is 385) and x (which is 9), but we don’t have a.

For exponential growth, a = 1 + r, where r is the growth rate.  Since we’re given a percentage, we convert it to a decimal to find a:

5% = 0.05 = r

a = 1 + r = 1 + 0.05

Now we find the growth after 9 nine years by simply plugging everything in:

P = 385*(1.05)^9 = 597.26 = 597

Answer:

Step-by-step explanation:

Its AAS

two angle and the side is the middle line they connect by !

The transformation that were applied to the parent function \( \mathrm{f}(\mathrm{x})= \) \( \sec (\mathrm{x}) \) are the following: \( y=-2 f\left(\frac{1}{4} x-\pi\right)+2 \) The steps to graph the transformed function for the interval −4π ≤ x ≤ 4π are:

Step 1: Determine the vertical asymptotes of the original function. The parent function is \( \mathrm{f}(\mathrm{x})= \) \( \sec (\mathrm{x}) \).The secant function has vertical asymptotes at each multiple of  π/2 (n is an integer). Then, the vertical asymptotes of the function are x = - π/2, x = π/2, x = 3 π/2, x = - 3 π/2, x = 5 π/2, x = - 5 π/2, ... .

Step 2: Find the period of the original function. The period of the function is given by the formula T = 2 π / b, where b is the coefficient of x in the argument of the function.The parent function is \( \mathrm{f}(\mathrm{x})= \) \( \sec (\mathrm{x}) \).Then, the period of the function is T = 2 π / 1 = 2 π.

Step 3: Apply the transformations to the parent function.Use the following information to transform the graph of \( \mathrm{f}(\mathrm{x})= \) \( \sec (\mathrm{x}) \) as follows. First, perform a horizontal shift of π units to the right, then a horizontal compression by a factor of 1/4, then a vertical stretching by a factor of 2, and finally, a vertical translation of 2 units upward. Then, the transformed function is given by\( y = -2 \sec \left(\frac{1}{4} (x - \pi)\right) + 2 \)

Step 4: Plot the vertical asymptotes of the function. Then, the vertical asymptotes are at x = - π/2 + π, x = π/2 + π, x = 3 π/2 + π, x = - 3 π/2 + π, x = 5 π/2 + π, x = - 5 π/2 + π, ... .These vertical asymptotes are moved π units to the right of the original vertical asymptotes.

Step 5: Determine the period of the transformed function. The period of the transformed function is given by the formula T = 2 π / |b|, where b is the coefficient of x in the argument of the function. Then, the period of the transformed function is T = 2 π / (1/4) = 8 π.

Step 6: Find the local maxima and minima of the transformed function. To find the local maxima and minima of the transformed function, we need to solve the equation f'(x) = 0, where f(x) = -2 sec ((1/4) (x - π)) + 2.Then, f'(x) = (1/2) sec ((1/4) (x - π)) tan ((1/4) (x - π)).So, f'(x) = 0 when sec ((1/4) (x - π)) = 0 or tan ((1/4) (x - π)) = 0.The first equation is never true, since sec (x) is never zero. The second equation is true when (1/4) (x - π) = n π or x = 4 n π + π (n is an integer). Then, the critical points of the function are x = 4 n π + π.The second derivative of the function is given by f''(x) = (1/8) sec ((1/4) (x - π)) (sec ((1/4) (x - π)) + 2 tan ((1/4) (x - π))²). So, f''(x) > 0 for all x. Therefore, the critical points correspond to local minima if n is even, and local maxima if n is odd.

Step 7: Plot the graph of the transformed function using the vertical asymptotes, the local maxima and minima, and the period. The graph of the transformed function is shown below. The asymptotes, the local maxima and minima, and the period are labeled and numbered as required.

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Answer:

2.5 x 10⁻⁵

Step-by-step explanation:

to get the decimal point between the 2 and the 5 you must move it five places to the left; moving decimal to the left results in a smaller number than number you began with

Answer:

I hope this is right y=12+3x

Answer:

letter a!

Step-by-step explanation:

The probability that all four are different is 0.504

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

A sequence must have at least 4 digits.

The entire set of potential ways is n. (T)

where the four digits, chosen at random from 0 to 9, are in the following order:

n(T) =10^4

=10000

Let A be the instance that symbolizes the string of four digits.

There are a total of four distinct ways to choose the four-digit sequence.

n(A) = 10C4 x 4!

       = [10!/4!(10! - 4!)] x 4!

       =  [10!/4!(6!)] x 4!

       =  [10 x 9 x 8 x 7 x 6!/4!(6!)] x 4!

       = [10 x 9 x 8 x 7 ]

n(A) = 5040

Calculate the likelihood that each of the four is unique:

P(A)=n(A)/n(T)

= 5040/10000

= 0.504

Therefore, there is 0.504 chance that each of the four is unique.

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Answer:

the answer is C

Step-by-step explanation:

this is because it passes the vertical and horizontal line test

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

The White House and the departments of state and defense are referred to in the text as the C. iron triangle.

The term "iron triangle" typically refers to a concept in political science that represents a close and mutually beneficial relationship between bureaucratic agencies, interest groups, and congressional committees. It is not specifically used to refer to the White House and the departments of state and defense.

In the context of the White House and the mentioned departments, there is no widely recognized term or phrase that encompasses all three entities together. They are often referred to separately as distinct components of the executive branch of the United States government. The White House serves as the official residence and workplace of the President, while the departments of state and defense are key government agencies responsible for diplomacy and national defense, respectively.

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Answer: x=-3, y=-4

Step-by-step explanation:

System of equations is actually pretty simple.

Let me explain the two methods of solving a system of equations problem.

1. Elimination method

y-2x=2

-y=-x+1

In this approach, we will subtract or add the two equations together to eliminate one variable.

So in this problem, we'll organize -y=-x+1 like this:

x-y=1

Now we have

-2x+y=2

x-y=1

All we have to do now is add the two equations together and:

-x=3

x=-3

As you can see, the y variable is gone and we can find x by simply solving the rest.

Now we know that x=-3, let's plug in the value to get y.

x-y=1

-3-y=1

-y=4

y=-4

Therefore, x=-3, and y=-4

2. Substitution method

Let's go back to the problem.

y-2x=2

-y=-x+1

Now let's say that we will solve the problem using the substitution method.

In this approach, we will express one variable with the other.

So what we do is express y with x:

-y=-x+1

y=x-1

Now that we went through that process, we can plug in the y in the other equation:

x-1-2x=2

-x-1=2

-x=3

x=-3

Now that we now x=-3, let's plug that in to get y.

y=-3-1

y=-4

So the answer: x=-3, y=-4

Do you see the pattern?

System of equations problems are all about eliminating one variable and using the value of one to find the other.

Please let me know if there is anything else you're confused about.

Good luck with your exams!

Answer:

yes because if you divide 16:10 by 2 you get 8:5 and that still works

Step-by-step explanation:

Residual analysis is crucial before constructing a second-order regression model, as it allows us to identify any violations of the assumptions of least squares regression.

By conducting this analysis, we can ensure the validity and reliability of our model before proceeding with further model building. Residual analysis involves examining the residuals, which are the differences between the observed values and the predicted values from the regression model. By assessing the residuals, we can evaluate the assumptions underlying least squares regression, such as linearity, independence, and constant variance of errors.

Residual analysis helps us detect potential violations of these assumptions. For example, if the residuals exhibit a systematic pattern or curvature, it suggests that the relationship between the predictors and the response is nonlinear, indicating a need for a more complex model like a second-order polynomial. Additionally, if the residuals show heteroscedasticity (varying spread) or autocorrelation (dependence between residuals), the assumptions of constant variance and independence may be violated.

By conducting residual analysis before building the complete second-order model, we can identify these violations and take appropriate actions. This might involve transforming variables, adding interaction terms, or considering alternative modeling approaches. Residual analysis provides valuable insights into the data and guides the model-building process to ensure the resulting model is appropriate for the underlying relationships.

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Answer:

16, 64, 256

Step-by-step explanation:

A student attempts a 10-question multiple-choice test where each question presents four options, and the student makes random guesses for each answer. So the probability of (a) P(5)= 0.058 and (b) P(More than 3)= 0.093.

Part 1: Calculation of probability of getting 5 questions correct

(a) P(5)The formula used to find the probability of getting a certain number of questions correct is:

P(k) = (nCk)pk(q(n−k))

Where, n = total number of questions

(10)k = number of questions that are answered correctly

p = probability of getting any question right = 1/4

q = probability of getting any question wrong = 3/4

P(5) = P(k = 5) = (10C5)(1/4)5(3/4)5= 252 × 0.0009765625 × 0.2373046875≈ 0.058

Part 2: Calculation of probability of getting more than 3 questions correct

(b) P(More than 3) = P(k > 3) = P(k = 4) + P(k = 5) + P(k = 6) + P(k = 7) + P(k = 8) + P(k = 9) + P(k = 10)

P(k = 4) = \(10\choose4\)(1/4)4(3/4)6 = 210 × 0.00390625 × 0.31640625 ≈ 0.02

P(k = 5) = \(10\choose5\)(1/4)5(3/4)5 = 252 × 0.0009765625 × 0.2373046875 ≈ 0.058

P(k = 6) = \(10\choose6\)(1/4)6(3/4)4 = 210 × 0.0002441406 × 0.31640625 ≈ 0.012

P(k = 7) = \(10\choose7\)(1/4)7(3/4)3 = 120 × 0.00006103516 × 0.421875 ≈ 0.002

P(k = 8) = \(10\choose8\)(1/4)8(3/4)2 = 45 × 0.00001525878 × 0.5625 ≈ 0.001

P(k = 9) = \(10\choose9\)(1/4)9(3/4)1 = 10 × 0.000003814697 × 0.75 ≈ 0.000

P(k = 10) = \(10\choose10\)(1/4)10(3/4)0 = 1 × 0.0000009536743 × 1 ≈ 0

P(More than 3) = 0.020 + 0.058 + 0.012 + 0.002 + 0.001 + 0.000 + 0≈ 0.093

Therefore, the probabilities of the given situations are: P(5) ≈ 0.058, P(More than 3) ≈ 0.093.

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The answer in fractions of the given expression is 35/19.

A fraction is a part of whole number. In arithmatic the number is expressed as a quotient, in which the numerator is divided by denominator.

The given expression is,

2/7 = -5/ x + 3

Now to solve the following steps are followed,

Substracting 3 both the side,

2/7 - 3 = -5/ x + 3 - 3

Solving both the sides,we get

- 19/7 = - 5/x

multiplying both the side with -1,

- 19/7 * (-1) = - 5/x * (-1)

Solving we get

19/7 = 5/x

Now by cross multiplication we get,

19x = 35

Dividing both side by 19

19x/19 = 35/19

solving them we get,

x = 35/9

Hence,the answer in fractions of the given expression is 35/19.

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Answer:

67°

Step-by-step explanation:

9x+2=74

9x=72

x=8

m<2 = 180-(5(8)-1+74)

= 180-(39+74)

=180+113

= 67°

By law of syllogism the statement is true. Your cat will chase mice.

What are premises?

premises is a statement taken to be true and used as a basis for argument or reasoning.

Here it is given that :

If you have a cat, then it will chase mice. is the given statement.

Let p is you have a cat

q is chase mice.

r is cat will chase mice.

by the law of syllogism Your cat will chase mice. because  (1) If p , then q . (2) If q , then r . Then we can derive a third true statement: (3) If p , then r .

Hence by law of syllogism the statement is true.

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Answer:

Last option is correct, i.e. (2x/5)-7.

Answer:

I think its number 2 im not quiet sure hope this helps

Step-by-step explanation:

Answer:

g=12

Step-by-step explanation:

divide both sides by 13

13g=156

g=156/13

g=12

Answer:

10 cm by 16 cm

Step-by-step explanation:

60 ÷ 6 = 10

96 ÷ 6 = 16

The answer is 10 cm by 16 cm or option (c)

I took the test!

a. Using the cash basis of accounting, Al's gross income for 2021 is $479,400.

b. Using the accrual basis of accounting, Al's gross income for 2021 is $614,600.

c. Al should use the accrual basis of accounting for reporting his gross income.

a. Under the cash basis of accounting, income is recognized when it is received in cash. In this case, Al received cash of $516,600 for medical services in 2021. However, $37,200 of this amount was for services provided in 2020. Therefore, Al's gross income for 2021 using the cash basis is $516,600 - $37,200 = $479,400.

b. Under the accrual basis of accounting, income is recognized when it is earned, regardless of when the cash is received. In this case, Al earned $516,600 for medical services in 2021, including the $37,200 from 2020. Additionally, Al had accounts receivable of $88,000 at the end of 2021 for services rendered in 2021. Therefore, Al's gross income for 2021 using the accrual basis is $516,600 + $88,000 = $604,600.

c. It is advisable for Al to use the accrual basis of accounting because it provides a more accurate representation of his income by recognizing revenue when it is earned, even if the cash is received later. This method matches revenues with the expenses incurred to generate those revenues, providing a better overall financial picture. Using the accrual basis will also allow Al to track and report his accounts receivable accurately, providing a clearer understanding of his practice's financial health.

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The given statement "For any sampled population, the population of all sample means is approximately normally distributed" is true. This is a result of the Central Limit Theorem, which states that when sample sizes are large enough, the means of all samples will be approximately normally distributed.

A sample is a smaller portion of the population that has been taken to draw conclusions about the characteristics of the population as a whole. The sample needs to be representative of the population for the data analysis to be valid.

A sample mean is a statistical analysis in which the sum of all data points in a sample is divided by the number of observations. It gives an idea of the average value of the data points in the sample population.

For any sampled population, the population of all sample means is approximately normally distributed. The central limit theorem states that when the sample size is sufficiently large, the distribution of the sample means will be approximately normal, regardless of the underlying distribution of the population.

The central limit theorem is an important concept in inferential statistics because it provides a theoretical foundation for the use of statistical inference methods to draw conclusions about population parameters based on sample statistics.

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Answer:

the scale factor from triangle ABC to triangle DEF would be 8

Step-by-step explanation:

the triangle DEF was actually flipped from triangle ABC

1.line AB corresponds to line EF

AB = 6 , and EF = 48

we multiply 6 by "8" to get to 48

2.line BC corresponds to line ED

BC = 6 , and ED = 48

we multiply 6 by "8" to get to 48

3.line AC corresponds to line FD

AC = 6 , and FD = 48

we multiply 4 by "8" to get to 32

I hope this help