which expression is equivalent to 15 x^3 z^5/ 3 x^7 z^-5
A 12/x^10
B 5x^4
C 5(x/z)^10
D 5(z/x)^10
E 12(z/x)^10

Mean of the data = 83.92  

The term "mean" refers to the average of the data and is derived by dividing the total number of data observations in the data by the total number of observations.

It is a data point that represents the average of all the data points in the collection. The most popular and commonly applied approach in statistics for determining the middle of a data collection is the mean.  

Here given data is

No of students(f\(_{i}\))         4        3       9         2       3        3          4  

Score (x\(_{i}\))                     70      75     80       85      90      95      100        

f\(_{i}\) x\(_{i}\)                          280       225    720    170     270    285    400      

The formula for the mean of the data is given by

=>  ∑ f\(_{i}\) x\(_{i}\) = 280 + 225 + 720 + 170 + 270 + 285 + 400 = 2350

=>  ∑f\(_{i}\)   = 4 + 3 + 9 + 2 + 3 + 3 + 4 = 28

=> Mean of the data = 2350/28 = 83.92  

Therefore,

The Mean of the data = 83.92

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Answer:

The given expression is not a complete equation or function. It seems like a linear function, but it is missing an input variable and an equal sign.

A linear function in the form of y = mx + b, where y is the output, x is the input, m is the slope, and b is the y-intercept.

Without the input variable, we cannot evaluate the function. Can you please check if you have provided the complete equation or function?

Step-by-step explanation:

The expected profit in the long run can be determined by calculating the expected value of the total revenue from selling the lobsters. The expected total revenue is the sum of the expected revenue from selling the lobsters to the restaurant and the from selling the lobsters to the grocery store.

The expected value of the revenue from selling the lobsters to the restaurant can be calculated by multiplying the expected price per pound from the restaurant by the expected amount of lobsters caught in a day. The expected price per pound from the restaurant follows a triangular distribution with minimum value $1.50, maximum value $5.50, and likeliest value $3.50. The expected amount of lobsters caught in a day follows a normal distribution with mean 1,500 pounds and standard deviation sqrt(12,500) pounds.

The expected value of the revenue from selling the lobsters to the grocery store can be calculated by multiplying the expected price per pound from the grocery store by the expected amount of lobsters caught in a day. The expected price per pound from the grocery store is decreasing with more lobsters: $3.85 - 50.0005 * y, where y is the total lobster amount sold in pounds. The expected amount of lobsters caught in a day follows a normal distribution with mean 1,500 pounds and standard deviation sqrt(12,500) pounds.

Given the expected values of the total revenue from selling the lobsters to the restaurant and the grocery store, Amir can use simulation to determine the optimal percentage of lobsters to sell to the restaurant in order to maximize his expected profit in the long run. He can run several simulations with different percentages of lobsters to be sold to the restaurant and compare the expected profits for each simulation. The percentage that produces the highest expected profit is the optimal percentage for Amir to maximize his expected profit in the long run.

Amir can use simulation to determine the optimal percentage of lobsters to sell to the restaurant in order to maximize his expected profit in the long run. He can calculate the expected value of the total revenue from selling the lobsters to the restaurant and the grocery store, and then run several simulations with different percentages of lobsters to be sold to the restaurant to compare the expected profits for each simulation. The percentage that produces the highest expected profit is the optimal percentage for Amir to maximize his expected profit in the long run.

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Answer:

y = -6x - 4

Step-by-step explanation:

Using two points on the line, (0, -4) and (-1, 2),

\( Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - (-4)}{-1 - 0} = \frac{6}{-1} = -6 \)

m = -6

y-intercept (b) = -4 (the value of y when x = 0)

To write the equation, substitute m = -6, and b = -4 into y = mx + b

y = -6x - 4

Answer:

No.

Step-by-step explanation:

If you look at the y values, they do not have a constant rate of change. The numbers in the row for y: 3+1 is 4. 4+1 is 5. 5+7 is 12 .12+19 is 31. 31+ 37 is 68. So, as you can see, the rates at which each number changes are not constant. Therefore, the table does not represent a linear function.

The possible values of l for a 2 sublevel, ranging from -2 to 2 .

For a 2 sublevel, the possible values of the orbital angular momentum quantum number, l, can be determined using the selection rule:

l = -ℓ, -ℓ + 1, ..., ℓ - 1, ℓ,

where ℓ is the principal quantum number.

In this case, the principal quantum number is 2. Therefore, the possible values of l are:

-ℓ = -2

-ℓ + 1  = -1

-ℓ + 2 = 0

ℓ - 1 = 1

ℓ = 2

The possible values of l are: -2, -1 , 0 , 1 , 2

Each of these options includes the possible values of l for a 2 sublevel, ranging from -2 to 2 .

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The final position after following the treasure map is 144.38 km at 28.1" east of north, and you can find that  treasure in  a biography of Isaac Newton.

To answer the question, you need to use trigonometry and vectors to calculate the total distance travelled and the final position. First, draw a triangle with the initial point being the old oak tree. Label the sides of the triangle as A (825 m south), B (1.25 km at 30.0" west of north), and C (100 km at 40.0" north of east).

Using trigonometry, you can calculate the distance A = 825 m, B = 1.58 km, and C = 143 km. The total distance you travelled is A + B + C = 825 m + 1.58 km + 143 km = 144.38 km.

To calculate the final position, you can use vectors. Vector A is in the South direction and has magnitude 825 m. Vector B is at 30.0" west of north and has magnitude 1.58 km.

Vector C is at 40.0" north of east and has magnitude 143 km. Calculate the resultant vector of the three vectors (A, B, and C) to get the final position. The resultant vector has a magnitude of 144.38 km and a direction of 28.1" east of north.

Therefore, the final position after following the treasure map is 144.38 km at 28.1" east of north, and the treasure you find is a biography of Isaac Newton.

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Answer:

2827.43in²

Step-by-step explanation:

formula for area of a circle is r²π with r being the radius (30 in this case)

we can plug in 30 for r to solve for the area

30²π

900π

2827.43

that is the answer

- kan academy advance

Answer:

question 8 = 6cm

Step-by-step explanation:

\(formula (perimeter)= \\ sum \: of \: all \: sides \\ \\ 3x + 3x + x + x = 48 \\ 3(6) + 3(6) + 6 + 6 = 48 \\ 18 + 18 + 6 + 6 = 48\)

32 x 134

Partial product: Multiply each digit of 32 by each digit of 134, maintain each digit place.

(30x100) + (30x 30) + (30 x4)+ (2 x 100) + (2x30) + (2 x 4)

3,000 + 900+120+200+60+8 = 4,288

Answer:

13 is two and two thirds of four and seven eighths.

Step-by-step explanation:

To solve this, all you need to do is divide 13 by 2 and two thirds.  Let's do it:

\(13 \div 2\frac{2}{3}\\= 13 \div \frac{8}{3}\\= 13 \times \frac{3}{8}\\= \frac{13 \times 3}{8}\\= \frac{39}{8}\\= 4\frac{7}{8}\)

Answer:

4.875

Step-by-step explanation:

2 2/3=266.666666666667

266.666666666667% of 4.875 = 13

Answer:

please give brainiest

thank you

Answer:

Its 16 (-1/2)^-4=16 then

Answer:

\(\frac{7}{24}\)

Step-by-step explanation:

We can solve like so:

\(1-\frac{3}{8}-\frac{1}{3}=mushroomcaps\\\\\frac{24}{24} -\frac{9}{24}-\frac{8}{24} =mushroomcaps\\\\\frac{15}{24}-\frac{8}{24}=mushroomcaps\\\\\frac{7}{24}=mushroomcaps\)

\(\frac{7}{24}\) of the barbecued items are mushroom caps.

Answer:

E. \(x=\frac{7}{24}\)

Step-by-step explanation:

\(\frac{3}{8} + \frac{1}{3} +x = 1\\\)

\(\frac{3*3}{8*3} + \frac{1*8}{3*8} +x = 1\\\\\frac{9}{24} + \frac{8}{24} +x = 1\\\\\frac{17}{24} +x=1\\\)

\(x=1-\frac{17}{24}= \frac{24}{24}-\frac{17}{24} =\frac{7}{24}\\ x=\frac{7}{24}\)

Answer:

a) irrational

b) irrational

c) rational

d) rational

e) irrational

Note:

rational numbers are numbers that can be expressed in fractions.

irrational numbers are numbers that cannot be expressed in fractions i.e. they are never-ending-non-repeating decimals. examples √2, pi etc.

The employee's yearly salary is calculated as $37,440 using the arithmetic operations.  

The employee earns $18 per hour and works 40 hours per week. To calculate the weekly salary, we multiply the hourly wage by the number of hours worked:

Weekly salary = Hourly wage × Hours worked per week

Weekly salary = $18/hour × 40 hours/week = $720

Next, to calculate the yearly salary, we use the multiplication operation the weekly salary by the number of weeks in a year:

Yearly salary = Weekly salary × Weeks in a year

Yearly salary = $720/week × 52 weeks/year = $37,440

Therefore, the employee's yearly salary is $37,440. This calculation assumes a 40-hour work week and 52 weeks in a year. It's important to note that this calculation does not account for overtime pay or any other additional benefits or deductions that may affect the employee's total annual income.

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When Alonzo splits 3/4 pounds of candy among 4 people the unit rate in pounds per person is 3/16 pounds per person

The ratio of two measures, with one as the second of the item, is known as unit rate.

For the problem where Alonzo have to split 3/4 pounds of candy, the  unit rate is solved by division.

In this case, Alonzo will divide each the 3/4 pounds by 4 to get a value of which is the unit rate

The unit rate of candy in pounds per person

= 3/4 pounds / 4 persons

= 3/16 pounds per person

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4pack price plus 9pack price

so it implies that 2.o4+4.68=6.72

To find the angle of elevation, we need to determine the height of the plane relative to the trees, and then use the tangent function to find the angle. Let's call the height of the plane "h".

We can set up a right triangle with the height of the plane, the distance from the runway to the trees, and the height of the trees.

We have:

h / (150 + 75) = 100 / h

Solving for h, we find that:

h = 125

So the height of the plane relative to the trees is 125 feet.

Now we can use the tangent function to find the angle:

tan(angle) = 100 / 125

angle = tan^-1(100 / 125)

angle = approximately 53.13 degrees

Rounding to the nearest hundredths, the angle of elevation that the pilot must take to avoid crashing into the trees is 53.13 degrees.

Answer:

y = x + 6

x = 1

y = ¼(x - 5) + 3

Step-by-step explanation:

Vetices are;

A(1,5), B(5,3) and C(-3, -2)

Thus;

Median of AB is; D = (1 + 5)/2, (5 + 3)/2

D = (3, 4)

Median of BC is; E = (5 + (-3))/2, (3 + (-2))/2

E = (1, 0.5)

Median of AC is; F ; (-3 + 1)/2, (-2 + 5)/2

F = (-1, 1.5)

Thus, the median lines will be;

CD, AE & BF.

Thus;

Equation of CD is;

(y - (-3))/(x - (-2)) = (-2 - 4))/(-3 - 3)

(y + 4)/(x + 2) = -6/-6

y - 4 = 1(x + 2)

y = 4 + x + 2

y = x + 6

Equation of AE;

(y - 5)/(x - 1) = (0.5 - 5)/(1 - 1)

(y - 5)/(x - 1) = -4.5/0

Cross multiply to get;

0(y - 5) = -4.5(x - 1)

-4.5x = -4.5

x = 1

Equation of BF;

(y - 3)/(x - 5) = (1.5 - 3)/(-1 - 5)

(y - 3)/(x - 5) = -1.5/-6

(y - 3)/(x - 5) = 1/4

y - 3 = ¼(x - 5)

y = ¼(x - 5) + 3

Answer:

The process capability index for this system is 0.9103

Step-by-step explanation:

Upper specification = 1.649 inches

Lowe Specification = 1.507 inches

Mean = 1.57 inches

Standard Deviation = 0.026 inches

Process Capability Index = PCI

PCI = (Upper specification - lower specification)/6(standard deviation)

So, we get,

PCI = (1.649 - 1.507)/((6)(0.026))

PCI = 0.142/0.156

PCI = 0.9102564

To four decimal places, we get,

PCI = 0.9103

Answer:

\(Amount = 49 + 14.99k\)

Step-by-step explanation:

Given

\(Books = 24\)

\(Another\ Store = 25\)

\(Model = k\)

Cost of \(Model = 14.99\) --- Missing from the question

Required

Represent the amount spent

The amount is calculated as:

\(Amount = Books + Another\ Store + Model * Cost\)

\(Amount = 25 + 24 + k * 14.99\)

\(Amount = 49 + 14.99k\)

m<1 is 50

m<2 is 130

m<3 is 50

m<4 is 130

m<5 is 40

m<6 is 140

m<7 is 90

m<8 is 140

WELCOME TO AUSTIN TEXAS ASAP LMFMSMSNS BYE

The value of the definite integral ∫(from 0 to 3) \(e^{(2x)\) dx is \((1/2)(e^6 - 1).\)

To evaluate the definite integral, you'll need to find the antiderivative of the function \(e^{(2x)\) and then apply the limits of integration (0 to 3).

The antiderivative of  \(e^{(2x)\) is \((1/2)e^{(2x)\), since the derivative of \((1/2)e^{(2x)\) with respect to x is \(e^{(2x)\). Now, you can apply the Fundamental Theorem of Calculus:

∫(from 0 to 3) \(e^{(2x)\) dx = \([(1/2)e^{(2x)]\)(from 0 to 3)

First, substitute the upper limit (3) into the antiderivative:

\((1/2)e^{(2*3)} = (1/2)e^6\)
Next, substitute the lower limit (0) into the antiderivative:

\((1/2)e^{(2*0)} = (1/2)e^0 = (1/2)\)

Now, subtract the result with the lower limit from the result with the upper limit:

\((1/2)e^6 - (1/2) = (1/2)(e^6 - 1)\)

So, the exact value of the definite integral is:

\((1/2)(e^6 - 1)\)

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Step-by-step explanation:

Perimeter =  2 m + 2 * 7m

Perimeter = 2 ( m + 7m)

Perimeter = 2m + 14m

Perimeter = 16 m                          Pick any of them

Answer:

Step-by-step explanation:

Functions g(x) = 2x² - 72 and f(x) = 2x² are graphed below g(x) is graphed by shifting f(x) downwards 72 units.

A quadratic function is a polynomial function with one or more variables whose highest exponent is 2. It is also called a quadratic polynomial because the highest order term of  a quadratic function is quadratic. A quadratic function has at least one quadratic term. It's an algebraic function.

Given functions,

g(x) = 2x² - 72

f(x) = 2x²

Graph of the functions are drawn as follows:

f(x) is the parent function of g(x)

f(x) is shifted 72 unit down to get g(x)

Table for points of function g(x)

vertex is at (0, -72)

x  y

1   -70

2  -64

Table for points of function f(x)

vertex is at (0, 0)

x  y

1   2

2  8

3  18

Hence, graphs of the function g(x) = 2x² - 72 and f(x) = 2x² are attached below. f(x) is shifted 72 unit downwards to get g(x).

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This problem is about the composition of functions.

The given functions are

The expression

means that we have to replace g(x) inside f(x), as follows

Now, we solve the expression

Therefore, the composition is

Answer:

y= 2/3x + 2

Step-by-step explanation:

If the Uptown bank lends $22200 at 6.9% , then the amount of each monthly payment is (d) $530.57  .

The amount that Uptown bank will lend is = $22200 ,

the rate is = 6.9% ,since it is compounded monthly ,

So , monthly rate is = 6.9%/12 = 0.00575 ,

the time for which the car is financed is = 48 months ,

So , to calculate the monthly payment, we can use the formula:

⇒ P = (PV × r)/(1 - (1 + r)⁻ⁿ)

Where P is monthly payment, PV is present value of loan, r = monthly interest rate, and n = number of payments.

In this case, PV = $22200, r = 6.9%/12 = 0.00575 (monthly interest rate), and n = 48.

Substituting these values in monthly payment formula, we get:

⇒ P = (22200×0.00575)/(1 - (1 + 0.00575)⁻⁴⁸)

⇒ P ≈ $530.57

Therefore, the monthly payment will be approximately $530.57 . The correct answer is (d) $530.57 .

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The given question is incomplete , the complete question is

Uptown bank will lend you $22,200 at 6.9 percent, compounded monthly, to purchase a car. if you finance the car for 48 months, what will be the amount of each monthly payment?

(a) $593.60

(b) $549.08

(c) $578.38

(d) $530.57