Evaluate using order of operations.

Step-by-step explanation:

8/9 = p/81

641/9 = p

p = 71.2

Answer:

p=72

Step-by-step explanation:

8/9=p/81

cross multiply

8(81)=9p

648=9p

/9.    /9

72=p

hopes this helps

Answer:

A≈380.13 m²

Step-by-step explanation:

looked it up

Answer:

A= 380.13 m²

Step-by-step explanation:

A=\(\pi r^{2}\)

A= \(\pi\)x\(11^{2}\)

A= 380.13

The value of a spot-starting infinite stream of libor payments can be calculated using the formula:

Value = ∑_(n=1)^(∞)〖(libor_n)/((1+r)^(n-t0))〗

Where libor_n is the libor rate at time n, r is the discount rate, and t0 is the starting time.

Since t = t0 = 0, the formula simplifies to:

Value = ∑_(n=1)^(∞)〖(libor_n)/((1+r)^n)〗

As n → ∞, the denominator (1+r)^n becomes infinitely large, causing the value of each term in the summation to approach 0. Therefore, the value of the infinite stream of libor payments is 0.

In conclusion, the value of a spot-starting infinite stream of libor payments when t = t0 = 0 and as n → ∞ is 0.

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It is given that the friend agrees to pay half of the total cost of gas for the trip.

It is required to find the amount of money the friend is owing.

To do this, calculate the total cost of gas and evaluate half of it.

The total cost of gas is the sum of the gas charges given:

Calculate half of the total cost:

It follows that the friend is owing $44.

The answer is $44.

Answer:

m = slope

(x_1, y_1) = coordinates of first point in the line

(x_2, y_2) = coordinates of second point in the line

Slope describes the steepness of a line. The slope of any line remains constant along the line. The slope can also tell you information about the direction of the line on the coordinate plane. Slope can be calculated either by looking at the graph of a line or by using the coordinates of any two points on a line

Answer:

21

Step-by-step explanation:

24 play volleyball

15 play soccer

Softball= 60-(24+15)=21

or

2/5 = 40%

100% -(40+25)= 35%

60x0.35=21

The area of the circle is more usefull than circumfrence of the circle.

Given that,
A horse is tied with a 10 -foot-long rope to a pole on a grassy field. Is the circumference of the circle or the area of the circle more useful for determining how much grass the horse has access to is to be discuss.

Area of circle is given by the pie times square of radius.

Area of circle = πr^2

here,
The circumference of the circle gives the information of the periferal boundry,
while the area of the circle gives the information about the region of grass the horse can access

Thus, the area of the circle is more usefull than circumfrence of the circle.

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The terminal-point P(x, y) on the unit circle for "t = 7π/6' is (-√3/2 , -1/2), and the labelled graph of "y = 3+cos(x)" is shown below.

We have to find the terminal-point for t = 7π/6.,

The angle is given to be 7π/6, which means in degree it's measure is 210 degrees, and since the circle is unit circle ,So, radius = 1

The value of x and y, for terminal-point can be calculated as:

x = r × cos(θ)  = 1 × cos(210°) = -√3/2,

y = r × sin(θ) = 1 × sin(210°) = -1/2,

So, the required terminal point will be = (-√3/2 , -1/2).

To sketch graph of function "y = 3+cos x",

We substitute the values, and plot them,

For x = -2π, we get y = 4, the point is (-2π, 4);

For x = -π, we get y = 2, the point is (-π, 2);

For x = 0, we get y = 4, the point is (0, 4);

For x = π, we get y = 2, the point is (π, 2);

For x = 2π, we get y = 4, the point is (2π, 4);

Therefore, the graph of these points is sketched below.

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The given question is incomplete, the complete question is

Find the terminal point P(x, y) on the unit circle determined by the given value of t. (Remember to show work to justify your answer.) t = 7π/6.

Sketch the graph of y = 3+cos x. Remember to label your axes carefully (with numbers) and to show the five points accurately.

Weighing the available information and assigning a probability.

A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.

So, as per the definition of subjective probability

Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus

Weighing the available information and assigning a probability.

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The evaluated triple integral for ∫∫∫ e^(ez) dV = (π/2) ∫₀² (1/4)(e^(16r^4) - 1) dr

∫∫∫ e^(ez) dV

over the solid region E enclosed by the paraboloid z = 4x^2 + 4y^2, the cylinder x^2 + y^2 = 4, and the xy-plane, we can use cylindrical coordinates:

Express e^(ez) and dV in terms of cylindrical coordinates:

e^(ez) = e^(4r^2z) (from the equation for the paraboloid)

dV = r dr dθ dz (from the formula for cylindrical coordinates)

Set up the limits of integration for r, θ, and z:

For r, we integrate from 0 to 2 (the radius of the cylinder).

For θ, we integrate from 0 to 2π, since we want to cover the entire circular region around the z-axis.

For z, we integrate from the bottom of the solid (z = 0) to the top (z = 4r^2).

Evaluate the integral:

∫∫∫ e^(ez) dV = ∫₀² ∫₀²π ∫₀^(4r²) e^(4r²z) r dz dθ dr

= ∫₀² ∫₀²π [e^(4r²z)/4]₀^(4r²) dθ dr

= ∫₀² ∫₀²π (1/4)(e^(16r^4) - 1) dθ dr

= (π/2) ∫₀² (1/4)(e^(16r^4) - 1) dr

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The reasonable domain for this function is 0 < x < 50

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Given;

A = 50W - W2

The area of a rectangle cannot be negative;

The practical domain of A is determined when;

50W-W^2>0

Taking common factor W

W(50-W)>0

Since W must be positive W>0

50-W>0

Or equivalently

50>w

W<50

The total interval is

0<W<50

Therefore, the domain of the function will be 0 < x < 50

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Answer:

-11/16

Step-by-step explanation:

1) Find the Least Common Denominator (LCD) of \(\frac{15}{32} ,\frac{7}{31}\) In other words, find the Least Common Multiple (LCM) of 32,31.

Method 1: By Listing Multiples

1. List the multiples of each number.

Multiples of 32: 31,64,96,... 928, 960 ,992,...

Multiples of 31: 31, 62, 93 , ... , 930, 961 , 992, ...

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 992

Method 2: By Prime Factors

1. List the prime factors of each number.

Prime Factors of 32: 2,2,2,2,2

Prime Factors of 31: 31

2.  Find the union of these primes.

2,2,2,2,2,31

3. Multiply these numbers: 2 * 2 * 2 * 2 * 2 * 31 = 992. This is the LCM.

LCM = 992

2) Make the denominators the same as the LCD.

\(-\frac{15*31}{32*31} +\frac{7*32}{31*32}\)

3) Simplify. Denominators are now the same.

\(-\frac{465}{992} +\frac{224}{992}\)

4) Join the denominators.

\(\frac{-465+224}{992}\)

5) Simplify

\(-\frac{241}{992}\)

Decimal Form: -0.242944

D. The project timeline not including holidays which the team members plan to take off does not represent a constraint described in Dempster's triangle.

The constraints described in Dempster's triangle are related to project scope, time, and resources, and typically include limitations on budget, technology, staffing, and other factors that may impact project success. While holidays may impact project scheduling, they are not typically considered a constraint in the same sense as other Dempster's triangle that directly impact project deliverables.

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Based on the given information, we know that the arrival rate is 9 customers per hour and the service rate is 14 customers per hour. Since the arrival and service distributions are not known, we cannot use the m/m/1 formulas to calculate the average waiting time and total time spent in the system.

However, we can still use the Little's Law formula to relate the average number of customers in the system to the average waiting time. Little's Law states that the average number of customers in the system (N) is equal to the product of the arrival rate (λ) and the average time spent in the system (T), or N = λT.

Since we want to find the total time spent in the system, we can rearrange the formula to solve for T. Thus, T = N / λ.

We know from the given information that the average waiting time in the line is 18 minutes. Therefore, the average time spent in the system for a customer is T = 18 minutes + (1/14 hour), which is equal to 1.9 hours.

To calculate the total time spent in the system, we need to add the waiting time to the service time. Since the service rate is 14 customers per hour, the service time per customer is 1/14 hour or approximately 4.3 minutes. Thus, the total time spent in the system is approximately 22.3 minutes or 0.37 hours.

In summary, the average time spent in the system for a customer is 1.9 hours, and the total time spent in the system is approximately 22.3 minutes or 0.37 hours.

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Buss and Plomin's model of temperament proposes that there are three general temperaments: emotionality, activity, and sociability.

These temperaments are believed to be genetically based and to influence an individual's personality traits and behaviors throughout their life. Emotionality refers to an individual's tendency to experience strong emotional reactions, while activity refers to an individual's level of energy and impulsiveness.

Emotionality refers to an individual's tendency to experience and express emotions, such as fear, anger, and sadness.

Activity refers to an individual's level of physical and mental energy, and their tendency to seek out stimulation and engage in activities.

Sociability refers to an individual's preference for social interaction, including their level of interest in and enjoyment of socializing with others.

According to Buss and Plomin's model, these three temperaments are considered to be broad, genetically influenced traits that are present in varying degrees in every individual, and which can have a significant impact on a person's personality and behavior throughout their life.

Sociability, on the other hand, refers to an individual's degree of interest in social interaction and the degree to which they seek out social stimulation.

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Answer:

165

Step-by-step explanation:

x² + 8x + 12 =

= (9)² + 8(9) + 12

= 81 + 72 + 12

= 153 + 12

= 165

Answer:

-165

Step-by-step explanation:

(-9)2+8×-9+12

-81-72+12

-81-84

-165 answer.

Part a

Rewrite tan x in terms of sin x and cos x

Part b

\(\sin x \tan x+\frac{\sin x}{\tan x}\\\\=\sin x \cdot \frac{\sin x}{\cos x}+\frac{\sin x}{\frac{\sin x}{\cos x}}\\\\=\sin x \cdot \frac{\sin x}{\cos x}+\frac{1}{\frac{1}{cos x}}\\\\=\frac{\sin^2 x}{\cos x}+\cos x\\\\=\frac{\sin^2 x+\cos^2 x}{\cos x}\\\\=\frac{1}{\cos x}\)

Multivariate Data Analysis with Readings" is a valuable resource for anyone looking to learn about multivariate data analysis and its applications.

Hair, black, Babin, and Anderson are terms that relate to the book "Multivariate Data Analysis with Readings (4th Edition)" by Joseph F. Hair Jr., Rolph E. Anderson, William C. Black, and Barry J. Babin.

This book was published by Prentice-Hall in 1995 and is available as a PDF. "Multivariate Data Analysis with Readings" is a comprehensive guide to the concepts and techniques used in multivariate data analysis. It covers a range of topics, including exploratory data analysis, regression analysis, principal component analysis, and factor analysis.
The book also includes a variety of case studies and examples to help readers understand how to apply these techniques to real-world data. It is intended for students and researchers in fields such as business, marketing, psychology, and social sciences.
Overall, "Multivariate Data Analysis with Readings" is a valuable resource for anyone looking to learn about multivariate data analysis and its applications.

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Solution to given logarithmic equations and inequalities are;

x = 1

x = 9

x = 261

x = 10/3

x = 4

3x² - 2x - 1 = 0

x = 1 or x = -1/3

x = 13

x = 0

x = 0 or x = 5

1. 3x = log6 216

Using the definition of logarithm, we have:

\(6^{3x} = 216\)

\(6^{3x} = 6^3\)

3x = 3

x = 1

2. x - 4 = log3 243

Using the definition of logarithm, we have:

\(3^{x - 4} = 243\)

\(3^{x - 4} = 3^5\)

x - 4 = 5

x = 9

3. log4 (4x - 20) = 5

Using the definition of logarithm, we have:

4⁵ = 4x - 20

1024 = 4x - 20

4x = 1044

x = 261

4. log9 (3 - x) = log9(5x – 15)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3 - x = 5x - 15

20 = 6x

x = 10/3

5. log81 (x + 20) = log81 (6x)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x + 20 = 6x

20 = 5x

x = 4

6. log9 (3x²) = log9 (2x + 1)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3x² = 2x + 1

3x² - 2x - 1 = 0

7. Using the quadratic formula, we have:

x = (-(-2) ± √((-2)² - 4(3)(-1))) / (2(3))

x = (2 ± √(16)) / 6

x = (2 ± 4) / 6

x = 1 or x = -1/3

8. log4(x - 1) = log4(12)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x - 1 = 12

x = 13

9. log7(5 - x) = log7 (5)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

5 - x = 5

x = 0

10. logx (5x) = 2

Using the definition of logarithm, we have:

x² = 5x

x² - 5x = 0

x(x - 5) = 0

x = 0 or x = 5

Note that x = 0 is not a valid solution, since log 0 is undefined. Therefore, the only solution is x = 5.

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Answer:

1) \(1.276 \times 10^{7}\,m\), 2) \(5.101 \times 10^{8}\,km^{2}\), 3) \(5.974 \times 10^{24}\,kg\), 4) \(7.723\times 10^{9}\), 5) \(1.350 \times 10^{18}\), 6) \(3.618\times 10^{8}\,km^{2}\)

Step-by-step explanation:

(This exercise is written in Portuguese and for that reason explanation will be held in Spanish, which has strong similarities with that language)

La notación científica presenta el siguiente formato:

\(x.y \times 10^{n}\)

Donde:

\(x\) - Un dígito entero.

\(y\) - Dígitos decimales consecutivos.

\(n\) - Grado de potencia.

Para cálculos cotidianos se recomienda el uso de tres decimales consecutivos. A continuación, se presentan los números convertidos a la forma de notación científica:

1) \(12.756.000\,m\)

El grado de la potencia es siete (7).

\(1.276 \times 10^{7}\,m\)

2) \(510.072.000\,km^{2}\)

El grado de la potencia es ocho (8).

\(5.101 \times 10^{8}\,km^{2}\)

3) \(5.973.600.000.000.000.000.000.000\,kg\)

El grado de la potencia es veinticuatro (24).

\(5.974 \times 10^{24}\,kg\)

4) \(7.722.522.000\)

El grado de la potencia es nueve (9).

\(7.723\times 10^{9}\)

5) \(1.350.000.000.000.000.000\)

El grado de la potencia es dieciocho (18).

\(1.350 \times 10^{18}\)

6) \(361.800.000\,km^{2}\)

El grado de la potencia es ocho (8).

\(3.618\times 10^{8}\,km^{2}\)

To ensure that the integral test can be applied to the series, it is necessary to verify that the function f is continuous, positive, and decreasing.

The integral test is a method used to determine whether an infinite series converges or diverges based on the convergence of the corresponding improper integral. Suppose that f is a positive, decreasing, and continuous function on [1, ∞) such that f(n) = a_n for each n ∈ ℕ. Then, the infinite series ∑a_n converges if and only if the improper integral ∫f(x) dx from 1  ∞ converges.

A few steps to be taken for applying the integral test:

Verify that the function f is continuous, positive, and decreasing on the interval [1, ∞).

Compute the integral ∫f(x) dx from 1 to ∞.

The integral ∫f(x) dx converges if and only if the series ∑a_n converges.

If the integral diverges, the series diverges.

If the integral converges, the series may converge or diverge.

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a)The chance that no call will be handled in 10 seconds  is 0.0067

b) 0.2642 percent of classes will be processed in two seconds at least.

A figure or ratio that reflects a fraction of 100 is known as a percentage in mathematics. In addition to ratios, fractions, and decimals, it is one of the ways to depict a dimensionless connection between two numbers. Frequently, the symbol "%" is used after the number to indicate percentages.

given,

The number of phone calls handled by the communications switch in a 10-second period is represented by the Poisson random variable n.

a)the chance that no call will be handled in 10 seconds is

for 10 sec= λ= 10*0.5 = 5 calls per sec

P(X=0) \(e^{-5}\)(5)° / 0!

P(X=0)= 0.0067

b) percent of classes will be processed in two seconds at least is

for 2 sec =λ = 0.5 *2 = 1

P(X≥2) = 1- P(X<2)

= 1-[P(X=2) + P(X=1)]

=0.2642

a)The chance that no call will be handled in 10 seconds  is 0.0067

b) 0.2642 percent of classes will be processed in two seconds at least.

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Therefore , the solution of the given problem of fraction comes out to be cos B = 3/5 and sin C = 4/5.

A whole can be represented by any expression arrangement of sections or pieces of like sizes. Quantity is referred to in standard English as "a fraction" of a given measure. 8, 3/4. Fractions are included in wholes. In mathematics, integers are symbolised by the ratio of divisor to the ratio. These are all examples of basic fractions that divide by integers. The remainder of the fraction is a difficult fraction even though the fraction .

Here,

Using the Pythagorean equation, we can determine that AC and AB are the legs and BC is the hypotenuse of a right triangle:

=> AC²+ AB² = BC²

=> 52² + 39²= 65²

=> 2704 + 1521 = 4225

=> 4225 = 4225 (true)

We can now determine the values of sin C and cos B using the meanings of the trigonometric functions:

=> sin C = AC / BC = 52 / 65 = 4 / 5

=> cos B = AB / BC = 39 / 65 = 3 / 5

As a result, cos B = 3/5 and sin C = 4/5.

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Answer:

HERE U GO LOVE

3/8 x 24 = 9

Step-by-step explanation:

so 3 divided by 8 equal 0.375 right

so 0.375 x 24 = 9 make me brainlist pls

Answer:

The answer is 9

Step-by-step explanation:

First, you wanna get rid of the fraction 3/8 so divide 3/8 or 3 ➗ 8 which will give you 0.375. Then multiply 0.375 to 24 to get your product.

Problem:3/8 x 24=?

Step 1:Turn fraction into a decimal

3 divided by 8 =0.375

Step 2:Multiply 0.375 to 24

0.375 x 24= 9

Answer:3/8 x 24=9

The relation that is a function in the option are C and D.

Function relates input and output. A function is an expression, rule, or law that defines a relationship between one variable (the independent variable or the domain) and another variable (the dependent variable or the range).

Therefore, a function relates each element of a set with exactly one

element of another set (possibly the same set).

Therefore, the relation that is a function in the option are C and D.

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Answer: Corresponding Parts of Congruent Triangles are Congruent.

Step-by-step explanation:

I had this question & this was the correct answer.

Answer:

B

Step-by-step explanation:

Its not A because when you plug in 0.6 in for P it gives you 6.6=1.8. (0.6)+6=1.8

Its B because when you plug in 0.6 in for P it gives you 6=6.

10(0.6)=6

Its not C because when you plug in 0.6 in for P it gives you 0.36=10.

0.6(0.6)=10

Its not D because when you plug in 0.6 in for P it gives you -0.4=0.4.

(0.6)-1=0.4

The ball will hit the ground after approximately 0.14 seconds or 1.86 seconds

To find how long it will take the ball to reach 18 feet, we need to solve the equation h = 18:

-16t²  + 32t + 2 = 18

Simplifying, we get:

-16t²  + 32t - 16 = 0

Dividing by -16:

t²  - 2t + 1 = 0

Factoring:

(t - 1)²  = 0

Taking the square root:

t - 1 = 0

t = 1

Therefore, the ball will reach 18 feet in 1 second.

To find when the ball will be at 10 feet, we need to solve the equation h = 10:

-16t²  + 32t + 2 = 10

Simplifying, we get:

-16t² + 32t - 8 = 0

Dividing by -8:

2t² - 4t + 1 = 0

Using the quadratic formula:

t = (4 ± √(16 - 8)) / 4

t = (4 ± 2) / 4

t = 1 or t = 1/2

Therefore, the ball will be at 10 feet after half a second or 1 second.

To find when the ball will hit the ground, we need to solve the equation h = 0:

-16t² + 32t + 2 = 0

Using the quadratic formula:

t = (-32 ± √(32² - 4(-16)(2))) / 2(-16)

t ≈ 0.14 or t ≈ 1.86

Therefore, the ball will hit the ground after approximately 0.14 seconds or 1.86 seconds (rounded to the nearest hundredth).

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Remember that

P(A or B)=P(A)+P(B)-P(A and B)

In this problem, we have that

Event A and Event B are not independent

we have

P(A)=0.68

P(B)=0.32

P(A and B)=0.11

substitute

P(A or B)=0.68+0.32-0.11

P(A or B)=0.89