If (a + b + c)‐¹= a‐¹+ b‐¹ + c‐¹, show that (a + b + c)³ = a³ + b³ + c³.​

To interpret scores on it, he is presently administering the test to a representative sample of all golfers. Dr. zimmer is clearly in the process of validating their test.

Validation refers to the process of evaluating the accuracy and reliability of a test or measurement instrument. When Dr. Zimmer is administering the test to a representative sample of golfers, he is collecting data that will allow him to determine the validity of the test and its ability to accurately measure golfers' knowledge of the sport's history.

This process is important for ensuring that the test results are meaningful and can be used to make accurate inferences about the population being studied.

By comparing the scores on the test to other measures of golfers' knowledge, such as interviews or other tests, Dr. Zimmer can determine the test's ability to accurately measure the construct it is intended to measure. Therefore, Dr. Zimmer is in the process of validating his test by collecting data and evaluating its accuracy and reliability.

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Answer:

9 or 8.25

Step-by-step explanation:

27/3=9

35/4=8 3/4

To find the price of one pizza, we can set up a system of equations based on the given information. Let's assume that the price of one pizza is "x" dollars.

From the first scenario, we know that Diego paid $27 to have 3 pizzas delivered. Thus, we can write the equation:\(3x = 27\) From the second scenario, we know that Diego paid $35 to have 4 pizzas delivered. Thus, the equation becomes: \(4x = 35\) To solve this system of equations, we can use the substitution method .

From the first equation, rearranging it to solve for "x," we find: \(x = 27/3 x = 9\)Substituting the value of "x" into the second equation, we find:\(4(9) = 35 36 = 35\) This means there is no solution, indicating that there might be an error in the given information.

However, if we assume an average price for each pizza, we can calculate it. The average price per pizza can be found by dividing the total amount spent by the number of pizzas. Thus, for both scenarios combined, Diego spent $62 on 7 pizzas, leading to an average price of: \(62/7 ≈ $8.86\)Therefore, the estimated price of one pizza is approximately $8.86.

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The range of interest for t in x(3-2t) is from 0 to 3

To plot the given signal \(\(x(t) = e^{t+1} \cdot u(t+1)\)\), where u(t) is the unit step function, we can follow these steps:

a) Plotting \(x(t)\):

1. Determine the range of the plot. Since u(t+1) causes the signal to be zero for \(\(t < -1\)\), we can choose a range that covers the significant portion of the signal. Let's select t from -3 to 3 for clarity.

2. Evaluate x(t) within the chosen range using the given expression \(\(x(t) = e^{t+1} \cdot u(t+1)\).\)

3. Plot the resulting values of x(t) on the graph, with t on the x-axis and x(t) on the y-axis.

4. Label the important points on the axes, such as the origin (0, 0), significant peaks, and any other critical points.

b) Plotting x(3-2t):

1. Determine the new range for t when the signal x(t) is transformed to x(3-2t). Since we previously used -3 to 3, we need to find the corresponding range for t in x(3-2t).

  - Substitute 3-2t into the expression for \(\(t\) in \(x(t)\): \(3-2t = -3 \rightarrow t = 3\)\). Similarly, \(\(3-2t = 3 \rightarrow t = 0\).\)

  - Therefore, the range of interest for t in x(3-2t) is from 0 to 3.

2. Evaluate x(3-2t) within the new range using the given expression\(\(x(t) = e^{t+1} \cdot u(t+1)\)\).

3. Plot the resulting values of \(x(3-2t)\) on the graph, with \(t\) on the x-axis and x(3-2t) on the y-axis.

4. Label the important points on the axes, such as the origin (0, 0), significant peaks, and any other critical points.

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Eric will need at least 6 cans of finish to cover the entire outside of the box with three coats.

To find the minimum number of cans of finish needed for the job, we first need to calculate the total surface area of the box that will be covered with the finish.

The box has a length of 42 inches, a depth of 24 inches, and a height of 20 inches. To find the total surface area, we can use the formula for the surface area of a rectangular prism:

Surface area = 2(length x width + width x height + height x length)

Surface area = 2(42 x 24 + 24 x 20 + 20 x 42)

Surface area = 2(1008 + 480 + 840)

Surface area = 6656 square inches

Since the finish will be applied in three coats, we need to multiply the total surface area by three to get the total area of finish needed:

Total area of finish = 3 x 6656 square inches

Total area of finish = 19968 square inches

Now we can convert the total area of finish from square inches to square feet by dividing by 144:

Total area of finish = 19968 square inches / 144 = 138.67 square feet

Since each can of finish covers about 27.5 square feet, we can calculate the minimum number of cans needed by dividing the total area of finish by the coverage of each can:

Minimum number of cans = 138.67 square feet / 27.5 square feet per can

Minimum number of cans = 5.04 cans

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The given measurement in scientific notation as \(6\times10^9\). Therefore, option D is the correct answer.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as \(1.56\times10^7\).

The given distance is 6,000,000,000 miles.

There are 9 zeros in the given number

So, scientific notation is \(6\times10^9\)

Therefore, the number in scientific notation is \(6\times10^9\).

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Answer:

x = -1.5

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

0.2x + 1 = 1.6x + 3.1

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

The shapes in the three groups are quadrilaterals

The shapes in group A and B belong to parallelograms and rectangles

From the complete question, we can see that the shapes in the group A have opposite parallel sides and the angle between the adjacent sides is not 90 degrees.,

This means that the shapes in group A are parallelograms

Similarly, the shapes in the group B have opposite parallel sides and the angle between the adjacent sides is 90 degrees.

This means that the shapes in group A are rectangles

Hence, the shapes in group A and B belong to parallelograms and rectangles

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Answer:

0.875 feet

Step-by-step explanation:

21 divided by 24

Answer:

Step-by-step explanation:

Given equations,

→ x - y = 5

→ 4x + y = 10

Now we have to,

→ Find the required value of x and y.

Let's solve for the value of x,

→ (x - y) + (4x + y) = (5) + (10)

→ x + 4x - y + y = 5 + 10

→ 5x + 0 = 15

→ 5x = 15

→ x = 15/5

→ [ x = 3 ]

Then the value of y will be,

→ 4x + y = 10

→ 4(3) + y = 10

→ 12 + y = 10

→ y = 10 - 12

→ [ y = -2 ]

Hence, the value of y is -2.

Answer: The material will cost Meghana $95.84 before taxes.

Step-by-step explanation:

a. To find the area of Meghana's kite, we first need to convert the dimensions from feet to yards since the material is sold per square yard:

Length = 18 ft = 6 yards (since 1 yard = 3 feet)

Width = 4 ft = 4/3 yards (since 1 yard = 3 feet)

The area of the kite is the product of its length and width:

Area = Length x Width = 6 x 4/3 = 8 square yards

b. Meghana needs enough material to cover both sides of her kite, so she needs twice the area of the kite:

Area of both sides = 2 x Area of one side = 2 x 8 = 16 square yards

Therefore, Meghana needs 16 square yards of nylon material.

c. The material is sold for $5.99 per square yard, so the total cost of the material before taxes is:

Total cost = Cost per square yard x Number of square yards

Total cost = $5.99 x 16 = $95.84

Therefore, the material will cost Meghana $95.84 before taxes.

Answer:

one millimeter

Step-by-step explanation:

Answer:

0.67

Step-by-step explanation:

2/3= to 0.66 which means 0.67 would be technally larger than 0.66

Answer:

56

Step-by-step explanation:

(1+2*3)^2+7

(1+6)^2+7

7^2+7

49+7

56

Answer:

Step-by-step explanation:

Using PEMDAS, first find the product of the parentheses. 2*3=6. 1+6=7. 7² is 49. 49+7=56.

Answer:

9.77112

Step-by-step explanation:

Given

\((9.93).0.984\)

Required

Evaluate

To get the value of the expression, we simply multiply both together as follows; 9.93 * 0.984

First, take note of the decimal places

9.93 = 2 decimal places

0.984 = 3 decimal places

Remove the decimals and multiply the numbers as follows

   9   9   3

   9    8   4

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

       3    9   7     2

   7  9   4   4

8  9  3  7

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

9   7   7   1   1   2

Add the decimal places

2 decimal place + 3 decimal places = 5 decimal places

Hence, the result is 9.77112 (5 decimal places)

Answer:

98 yd²

Step-by-step explanation:

From the diagram attached, The polygon is a square with the distance from the edge of the square to the center of the square = 7 yd.

The distance from the edge of the square to the center of the square is half of the diagonal. Therefore length of the diagonal = (7 yd * 2) = 14 yd

The diagonal and two sides of the triangle form a right angle triangle. Let the side of the triangle be a. Therefore the hypotenuse is the diagonal, using Pythagoras theorem:

a² + a² = 14²

2a² = 196

a² = 98

a = √98 = 7√2

The length of the side of the triangle = a = 7√2 yd

The area of the rectangle = length × length = 7√2 × 7√2  = 98 yd²

The difference in the median score of the 2nd period and the 1st period is 5.

The images shown are known as box plots. A box plot is a graph that is made up of two whiskers and a box. The end of the whiskers present the minimum and maximum values.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

Median is a measure of central tendency that is used to determine the number that is at the center of a dataset.

The median of the first period = 80

The median of the second period = 85

Difference in the median = 85 - 80 = 5

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Answer:

It's 7.247 × 10 ^6

Step-by-step explanation:

To determine the annual energy output of the small grid-connected wind turbine, additional information is needed, such as the average wind speed at the location and the power curve of the turbine. Without these details, it is not possible to provide a direct answer.

The annual energy output of a wind turbine depends on various factors, including the wind resource available at the site. The wind speed distribution and the power curve of the specific turbine model are crucial in estimating the energy production.

To calculate the annual energy output, the following steps can be taken:

Without the specific wind speed data and power curve of the wind turbine, it is not possible to calculate the annual energy output accurately. These details are crucial in estimating the energy production of the small grid-connected wind turbine.

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Answer:

The answer is B.  (4, 4) is the solution to both lines A and B. I took the test and got 100% your're welcome!

Step-by-step explanation:

Answer:

1. y=4 x=4

2. x=2 y=4

3. i dont know

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

I asked siri

Answer:

yo moma

Step-by-step explanation:

i. The distribution that could be used to model Y, the number allocated to the student chosen, is the discrete uniform distribution. In this case, the discrete uniform distribution assumes that each student has an equal probability of being chosen, and there is no preference or bias towards any particular student.

ii. E(Y) (the expected value of Y) for a discrete uniform distribution can be calculated using the formula:

E(Y) = (a + b) / 2

where 'a' is the lower bound of the distribution (1 in this case) and 'b' is the upper bound (100 in this case).

E(Y) = (1 + 100) / 2 = 101 / 2 = 50.5

So, the expected value of Y is 50.5.

sd(Y) (the standard deviation of Y) for a discrete uniform distribution can be calculated using the formula:

sd(Y) = sqrt((b - a + 1)^2 - 1) / 12

where 'a' is the lower bound of the distribution (1) and 'b' is the upper bound (100).

sd(Y) = sqrt((100 - 1 + 1)^2 - 1) / 12

= sqrt(10000 - 1) / 12

= sqrt(9999) / 12

≈ 31.61 / 12

≈ 2.63

So, the standard deviation of Y is approximately 2.63.

iii. The probability that the first student to enter the room receives the chocolate can be determined by calculating the probability of Y being equal to 1, which is the number assigned to the first student.

P(Y = 1) = 1 / (b - a + 1)

= 1 / (100 - 1 + 1)

= 1 / 100

= 0.01

So, the probability that the first student receives the chocolate is 0.01 or 1%.

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The area of the figure is given as follows:

37,309 ft².

The figure is divided into six regions, hence the area of the figure is given by the sum of the areas of each region.

Region A is a trapezium with larger base 75 ft, smaller base 45 ft and height 15 ft, hence the area is:

A = 0.5(45 + 75) x 15 = 900 ft².

Region B is a rectangle with dimensions 195 ft and 30 ft, hence the area is:

B = 195 x 30 = 5850 ft².

Region C is a rectangle with dimensions 255 ft and 75 ft, hence the area is:

C = 255 x 75 = 19125 ft².

Region D is a rectangle with dimensions 195 ft and 30 ft, hence the area is:

D = 195 x 30 = 5850 ft².

Region E is a rectangle with dimensions 75 ft and 45 ft, hence the area is:

E = 75 x 45 = 3375 ft².

Region F is a semi-circle with radius 37.5 ft, hence the area is:

F = 0.5 x pi x 37.5² = 2209 ft².

Hence the total area is:

900 + 5850 + 19125 + 5850 + 3375 + 2209 = 37,309 ft².

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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Answer:

Shelly walked 1/15 km farther

Step-by-step explanation:

We need to get a common denominator.

1/3 * 5/5 =5/15

Shelly walked 5/15 km

Kelly walked 4/15 km

Shelly walked farther

5/15 - 4/15 = 1/15

She walked 1/15 farther

Answer:

Shelly walked the furthest by 0.06 km.

Step-by-step explanation:

On a calculator (you can do it on paper, but it will take longer), take 1/3 and divide 1 by 3:

1 divided by 3 = 0.33

Then, do the same with 4/15:

4 divided by 15 = 0.27

So, Shelly walked the furthest.

To find out how much farther Shelly walked then Kelly, we simply subtract the 2 answers:

0.33 - 0.27 = 0.06

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Answer:

40

Step-by-step explanation:

all you have to do is divide 32 by 80%

32/.8=40

hope this helps :)

Answer:

Step-by-step explanation:

The answer has to  be 32. That's not what you are asked for. What you need is what the test was out of

80/100 * x = 32               Multiply by 100

80x = 32 * 100

80x = 3200                    Divide by 80

x = 3200/80

x = 40

So the test was out of 40

Just to check the result

Test = (80 /100) * 40

Test = 3200 / 100

Test = 32