4. The radius of a cylinder is 3x-2 cm. The height of the cylinder is x +3 cm. What is the
surface area of the cylinder? Use the formula A=2x²+2xrh.
02x (3x2+10x-8)
O 27(12x+7x-2)
O 27(12x²-2x+13)
O 27(12x²-5x-2)

The address of A[3][7] is found as 1296 (decimal) using the base address of A[0][0].

To find the address of A[3][7], we need to calculate the offset in memory from the address of A[0][0].

First, we need to determine the size of each element in the array.

In this case, struct { int n; char c; } has a size of 8 bytes (4 bytes for int and 1 byte for char).

Next, we calculate the offset for the rows. Since each row has 10 elements, the offset for 3 rows is

3 * 10 * 8 = 240 bytes.

Finally, we calculate the offset for the columns. Since there are 7 columns, the offset for 7 columns is

7 * 8 = 56 bytes.

Adding the row and column offsets to the base address of A[0][0], we get the address of A[3][7] as

1000 + 240 + 56 = 1296 (decimal).

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R-squared is calculated as the square of the linear correlation coefficient (r). In this case, the linear correlation coefficient is 0.817, so the R-squared can be calculated as follows:

R-squared = r^2 = 0.817^2 = 0.67

R-squared measures the proportion of variation in the dependent variable that is explained by the independent variable in a regression analysis. A value of R-squared close to 1 indicates that a large proportion of the variation in the dependent variable is explained by the independent variable, while a value close to 0 indicates the opposite.

In this case, a value of 0.67 for R-squared indicates that 67% of the variation in the dependent variable is explained by the independent variable, while the remaining 33% is unexplained.

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The combination of transformation seen is

Reflection,then Rotation

Option A

Generally,Reflection is simply defined as  the change in travelling direction of a wavefront at a collusion between two variant media.

Rotation: In a lame man term is simply the action of rotating on an axis center.

We find that rotational images are formed at reflection

Therefore, the combination of transformation seen is

Reflection,then Rotation

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The first step in the marketing research process is typically A: "to determine the company's research goals."

The marketing research process typically involves several steps, including defining the research problem or opportunity, determining the research goals, collecting secondary data, determining the group of research participants for the study and the sample size, designing the research study, collecting primary data, analyzing the data, and interpreting the results. By determining the company's research goals, the researcher can ensure that the research study is focused and that the results will be useful and relevant to the company.

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After 3 years the rate of motorcycle be Rs. 17520458 when its price is depreciated per year by 8%.

Let after x years the price of the motor cycle be Rs 175204.58

According to the given question.

The present price of a motorcycle is Rs. 225000.

And the depreciation rate = 8% = 0.08.

Therefore, the numbers of years after which the price of motorcycle be Rs 175204.58 is gievn by

⇒ 175204.58  = 225000(1 - 0.08)^x

⇒ 175204.58/225000 = (1 - 0.08)^x

⇒ 0.78 = (1 -0.08)^x

⇒ 0.78 = 0.92^x

⇒ -0.107 = xlog(0.92)

⇒ -0.107 = x(-0.036)

⇒ 0.107/0.036 = x

⇒ x = 2.97

⇒ x ≈ 3 years

Hence, after 3 years the rate of motorcycle be Rs. 17520458 when its price is depreciated per year by 8%.

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Answer:

\(\displaystyle m\angle RTU=73^\circ\)

Step-by-step explanation:

Interior Angle of a Circle

An interior angle of a circle is formed at the intersection of two lines that intersect inside a circle.

Lines AC and BD of the figure attached below intersect forming arcs p and q. The measure of the interior angle x  is:

\(\displaystyle x=\frac{p+q}{2}\)

The question includes the drawing of a circle with lines US and RV intersecting at point T. The measure of the interior angle RTU is:

\(\displaystyle m\angle RTU=\frac{68^\circ+78^\circ}{2}\)

\(\displaystyle m\angle RTU=\frac{146^\circ}{2}\)

\(\boxed{\displaystyle m\angle RTU=73^\circ}\)

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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The rate at which the water level is rising when the water level is 2 cm is 8 cm.

A pyramid's volume is equal to 1/3 of B, where B is the base's area and h is its height. Given that the base is square, B = s2, where s is a base side The volume is therefore 1/3 s2h.

We are aware that the base's side is 8 cm long and the whole pyramid's height is 11 cm. Also, no matter how high the water is, its surface will always form a square with the same proportion to the water's depth as a side of the pyramid's top has to the pyramid's total height. This indicates that s = 8/11 h regardless of the water depth.

So that means that the formula for the volume of the pyramid formed by the water is V = 1/3 (8/11 h)2 h = 64/363 h3.

Separate this as a function of time to get the rate of change of the volume of water :

V = 64/363 h3

dV/dt = 3 (64/363) h2 dh/dt = 192/363 h2 dh/dt

Nonetheless, we are aware that the volume is shifting at a speed of 65 cc every second.  So at any point in time,

65 = 192/363 h2 dh/dt

65 * 363 / 192 = h2 dh/dt

23595 / 192 = h2 dh/dt

(23595 / 192) / h2 = dh/dt

When the level of water (h) is 8, that indicates:

(23595 / 192) / 64 = dh/dt

1.92 = dh/dt

So the water level is rising at the rate of 1.92 cm per second when the water level is 8 cm.

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The solution set of the inequality 8x + 2 > 34 is x > 4

The system of inequality is given as:

8x + 2 > 34

8x + 2 > 34

From the above system of inequality, we can see that the inequalities in the system are the same.

This means that:

8x + 2 > 34

Subtract 2 from both sides of the inequality

8x > 32

Divide both sides by 8

x > 4

Hence, the solution set of the inequality 8x + 2 > 34 is x > 4

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If the expected frequencies are not all equal, we can determine them by using the equation enp for each individual category, where n is the total number of observations and p is the probability for the category. This equation helps us calculate the expected frequency for each category based on their probabilities and the total number of observations.

On the other hand, if the expected frequencies are equal, we can determine them by using the equation n/k, where n is the total number of observations and k is the number of categories. This equation helps us distribute the total number of observations equally among the categories when the expected frequencies are equal.

Expected frequencies do not necessarily have to be whole numbers. They can be decimals or fractions depending on the context and calculations involved.

Goodness-of-fit hypothesis tests can be left-tailed, right-tailed, or two-tailed. These different types of tests allow us to assess whether the observed data significantly deviates from the expected frequencies. The choice of the tail depends on the specific research question and the alternative hypothesis being tested.

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Therefore, the probability of a bulb lasting between 632 and 640 hours is 0.0455 (or 4.55%).

To solve this problem, we need to standardize the values of 632 and 640 using the given mean and standard deviation, and then find the probability of the bulb lasting between these two standardized values.

Let X be the lifetime of a light bulb. We know that X ~ N(μ = 600, σ = 25).

Let Z be the standardized normal variable, given by:

Z = (X - μ) / σ

Substituting the values, we get:

Z632 = (632 - 600) / 25 = 1.28

Z640 = (640 - 600) / 25 = 1.60

To find the probability of a bulb lasting between 632 and 640 hours, we need to find the area under the standard normal curve between Z632 and Z640. We can use a standard normal table or a calculator to find this area.

Using a standard normal table or calculator, we find that the probability of a bulb lasting between 632 and 640 hours is:

P(1.28 < Z < 1.60) = P(Z < 1.60) - P(Z < 1.28)

From the standard normal table, we find that P(Z < 1.60) = 0.9452 and P(Z < 1.28) = 0.8997. Therefore,

P(1.28 < Z < 1.60) = 0.9452 - 0.8997 = 0.0455 (rounded to four decimal places)

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Answer:

it would be “>”, 100% guaranteed.

Answer:

answer is >

Step-by-step explanation:

hope this is helpful

Answer:

82%

Step-by-step explanation:

(20×90+80×80) / (20+80) = 8200 / 100 = 82.00

Answer:

80 degrees

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360 degrees. Adding up the known measures gives you 95 + 123 + 62 = 280. Then you can subtract that from 360. 360 - 280 = 80. So x has to be 80 degrees.

Answer:

146

Step-by-step explanation:

becuase it's parallel, so x = 146

Answer:  area is 36π cm

Step-by-step explanation:

Answer:

36pi

Step-by-step explanation:

area= pi×r²

r= radius (which is half the diameter)

12÷2= 6

pie×6² = 36pi

or =113.097

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Given terms :

Distance covered (d) = 12 miles

Time taken (t) = 1.5 hour

Average speed :

average speed = 8 mph

Answer:

8mph

Speed= Distance/Time

12/1.5= 8mph

the approximate area of the base of the paint can is 53.5 square centimeters.by using Volume formula is Base Area × Height

To find the approximate area of the base of the paint can, we can use the formula for the volume of a cylinder:

Volume = Base Area × Height

We are given the volume (535 cubic centimeters) and the height (10 cm). We need to solve for the Base Area. Rearranging the formula to solve for Base Area, we get:

Base Area = Volume ÷ Height

Now, substitute the given values:

Base Area = 535 cubic centimeters ÷ 10 cm

Base Area ≈ 53.5 square centimeters

So, the approximate area of the base of the paint can is 53.5 square centimeters.

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The approximate area of the base of the can is 53.5 square centimeters

From the question, we have the following parameters that can be used in our computation:

Volume = 535 cubic centimeters of paint

Height of container = 10 cm

The area of the base of the can is calculated as

Base area = Volume/Height

Substitute the known values in the above equation, so, we have the following representation

Base area = 535/10

Evaluate

Base area = 53.5

Hence, the base area is 53.5 square centimeters

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The answer of the given question based on the equations are, the solution to the system of equations is (x,y) = (12,10).

An equation is  mathematical statement that shows that the two expressions are equal. An equation contains an equals sign (=) and consists of two expressions, referred to as the left-hand side (LHS) and the right-hand side (RHS), which are separated by the equals sign. The expressions on either side of the equals sign can include variables, constants, and mathematical operations like  addition, subtraction, multiplication, and division.

Multiply the first equation by 2 and the second equation by -1 to eliminate the x term.

4x - 6y + 12 = 0

-4x + 5y - 2 = 0

Add two equations to eliminate  x term.

-y + 10 = 0

y = 10

Substitute value of y back into one of original equations and solve for the x.

2x - 3y + 6 = 0 (using the first equation)

2x - 3(10) + 6 = 0

2x - 24 = 0

x = 12

Therefore, the solution to the system of equations is (x,y) = (12,10).

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The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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To count the number of outcomes where there are five heads and no two of them are adjacent, we can use the following approach:

Let H denote a head and T denote a tail. We need to arrange 5 H's and 6 T's in such a way that no two H's are adjacent. We can start by placing the 6 T's in a row as shown below:

T _ T _ T _ T _ T _ T

The 5 H's must be placed in the 6 gaps indicated by the blanks. However, we cannot place two H's in the same gap, and we cannot place an H at either end of the row, since that would make it adjacent to a T. Therefore, we need to choose 5 gaps out of the 6 gaps available, and place one H in each of the chosen gaps. This can be done in:

C(6,5) x P(5,5) = 6 x 5! = 720

ways, where C(6,5) is the number of ways to choose 5 gaps out of 6, and P(5,5) is the number of ways to arrange the 5 H's in the chosen gaps.

Finally, we can observe that each toss of the coin can result in 2 possible outcomes (H or T), so the total number of outcomes of 11 coin tosses is 2^11 = 2048.

Therefore, the number of possible outcomes where there are exactly 5 heads and no two of them are adjacent is:

720 x 2^6 = 720 x 64 = 46,080

So there are 46,080 possible outcomes of 11 coin tosses where there are exactly 5 heads and no two of them are adjacent.

The value of x in the parallelogram is 9.3.

A parallelogram is a quadrilateral that has opposite sides equal to each other. Opposite sides of a parallelogram is also parallel to each other.

The opposite angle of a parallelogram are congruent while consecutive angles of a parallelogram are supplementary.

Therefore,

5x = 2x + 28

5x - 2x = 28

3x = 28

divide both sides of the equation by 3

x = 28 / 3

x = 9.333333

Therefore,

x = 9.3

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The Fourier cosine series for a function f(x) on the interval [-L,L] is given by the formula:

f(x) = a0/2 + SUM[n=1 to infinity] {ancos(npi*x/L)}

where the coefficients an are given by:

an = (2/L) * INTEGRAL[-L to L] {f(x)cos(npi*x/L) dx}

For the function f(x) = x(2L-x) defined on the interval [0,L], the Fourier cosine series can be calculated as follows:

a0 = (2/L) * INTEGRAL[0 to L] {f(x) dx} = (2/L) * INTEGRAL[0 to L] {x(2L-x) dx} = 2/3 * L

an = (2/L) * INTEGRAL[0 to L] {f(x)cos(npix/L) dx} = (2/L) * INTEGRAL[0 to L] {x(2L-x)cos(npix/L) dx}

Using integration by parts, we can simplify this expression to:

an = (4L/(npi)^2) * [(-1)^n - 1]

Therefore, the Fourier cosine series for the function f(x) = x(2L-x) on the interval [0,L] is:

f(x) = (L/3) + SUM[n=1 to infinity] {(4L/(npi)^2) * [(-1)^n - 1] * cos(npix/L)}

This series converges to the function f(x) on the interval [0,L].

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The correct option is A. m ≤ (8)(20)

The inequality which gives the possible values of 'm' is m ≤ (8)(20).

A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

According to the question;

Terrence's car contains 8 gallons of fuel.

Terrence can drive the car 'm' miles using the fuel currently in the car.

The car can drive 20 miles per gallon of fuel,(which is maximum fuel capacity of the car to drive).

Then,

The total miles 'm' covered by the car is 8×20 which is maximum capacity of the car to travel.

Thus, total miles covered by the car are less than the maximum value which is given by the inequality-

m ≤ (8)(20)

Therefore, the inequality which gives the possible values of 'm' is m ≤ (8)(20).

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The complete question is-

Terrence's car contains 8 gallons of fuel. He plans to drive the car 'm' miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of 'm'?

answer choices

A. m ≤ (8)(20)

B. m ≥ (8)(20)

C. 8 ≤ 20m

D. 8 ≥ 20 m

The total amount spent on gas is $9.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition.

In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour.

The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour

2 x 3 x $2.25 = $9

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Answer:

Step-by-step explanation:

The total amount spent on gas is $9.How much is spent on gas?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition. In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour. The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour 2 x 3 x $2.25 = $9To learn more about multiplication, please check:

Answer:

9 years i think

Step-by-step explanation: