Product of 9 and m.​

From the  X coordinate is -0.45 centimeter and Y coordinate is -2.0 cm of the center of mass for the uniform plate.

According to the Question:

Since the plate is uniform, we can divide it into three rectangles, each with a mass proportional to its area and with its barycenter at its geometric center. We will refer to the large piece of 35cm x 10cm; it occupies 63.6% of the total surface and its barycenter is at

(x₁, y₁) = (−5.0cm,−2.5cm).

Now,

The top 20cm× 5cm piece has 18.2 % of the total area; its center of mass is at (x₂, y₂) = (10cm,12.5cm).  

Now,

The bottom 10cm× 10cm piece (section 3) also has 18.2 % of the total area; its center of mass is at (x₃, y₃)​ = (5cm,−15cm).

(a) The x coordinate of the center of mass for the plate is

   \(X_{com} = (0.636)X_1 + (0.182)X_2 + (0.182)X_3\)

            = -0.45 cm

(b) The y coordinate of the center of mass for the plate is

    \(Y_{com} = (0.636)Y_1 + (0.182)Y_2 + (0.182)Y_3\)

             = -2.0 cm.

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Answer:

32

Step-by-step explanation:

Answer:

um a

Step-by-step explanation:

I'm pretty sure (98%) it is A.

Let me know if I'm wrong.

The probability that the total travel time for the three deliveries will be at most 4 hours is approximately 0.9914, rounded to four decimal places.

Assuming that travel time follows an exponential distribution with mean 0.5 hours, the probability of travel time being less than or equal to a certain value t (in hours) is given by the cumulative distribution function (CDF):

F(t) = 1 - e^(-t/0.5)

We want to get the probability that the travel time for three deliveries, each involving a distance of 40 miles, will be at most 4 hours. Let X be the travel time for one delivery. Since the three deliveries are independent, the total travel time Y for the three deliveries is the sum of three independent and identically distributed exponential random variables, each with mean 0.5 hours. That is,

Y = X1 + X2 + X3

where Xi ~ Exp(0.5) for i = 1, 2, 3.

The distribution of Y is a gamma distribution with shape parameter k = 3 and scale parameter θ = 0.5, that is,

Y ~ Gamma(3, 0.5)

The CDF of Y is:

F(y) = P(Y ≤ y) = ∫₀ʸ f(t) dt

where f(t) is the probability density function (PDF) of Y, which is:

f(t) = (1/0.5)^3 * t^2 * e^(-t/0.5) / 2!

The integral can be computed numerically or using software such as Excel, and the result is:

F(4) = P(Y ≤ 4) ≈ 0.9914

Therefore, the probability that the total travel time for the three deliveries will be at most 4 hours is approximately 0.9914, rounded to four decimal places.

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The main difference between an observational study and an experiment is that an experiment manipulates variables while in an observational study variables are observed without intervention. Therefore, observational studies are non-experimental research designs. The observations may be recorded in a systematic way that represents natural variation or they may be more or less structured in terms of methods that control conditions.

An observational study is a type of study in which the researchers observe subjects without controlling any variable, whereas an experiment is a type of study in which the researchers manipulate the independent variables to observe the effect on the dependent variable.

One of the most significant differences between an observational study and an experiment is that an experiment is subject to the influence of one or more experimental variables.

On the other hand, observational studies can be designed to avoid the influence of experimental variables or to use them to provide insight into the underlying processes.

Another significant difference is that in observational studies the researcher has no control over the independent variables, whereas in experiments the researcher can manipulate the independent variable to create different conditions and study the effects on the dependent variable.

Therefore, an experiment is a more powerful tool for investigating cause and effect relationships than an observational study.

The difference between an observational study and an experiment is that in an experiment, a researcher manipulates variables while in an observational study variables are observed without intervention.

Therefore, an observational study is a non-experimental research design.

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Given the following question:

Your exact solutions are...

The larger of the two consecutive even perfect squares is $15,536$.

Square is a four-sided shape that has four equal sides and four right angles. It is the most basic of all quadrilaterals and is a two-dimensional shape. A square has a line of symmetry that passes through the center and divides it into two equal halves. All four sides of a square are equal in length and all four angles are equal to 90 degrees.

To find this, we need to use the difference between the two squares and solve for the larger number. We know that the difference between the two squares is $268$, so we can write the following equation:

$15,536 - 268 = 15,268$

This equation tells us that the larger of the two squares is $15,536$.

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The larger of the two consecutive even perfect squares is 15,536.

Square is a four-sided shape that has four equal sides and four right angles. It is the most basic of all quadrilaterals and is a two-dimensional shape. A square has a line of symmetry that passes through the center and divides it into two equal halves. All four sides of a square are equal in length and all four angles are equal to 90 degrees.

To find this, we need to use the difference between the two squares and solve for the larger number. We know that the difference between the two squares is 268, so we can write the following equation:

So, 15,536 - 268 = 15,268

This equation tells us that the larger of the two squares is 15,536.

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Answer:

you can add 3x and 2x

Step-by-step explanation:

you can add them because they are both like terms

Answer:

yes

Step-by-step explanation:

you can combine them because they have the same base, and you can combine like terms

Answer:

It should be 1/5

Since the fractional versions of the ratios are equal, the ratios are equivalent.

Answer:

50.4525

Step-by-step explanation:

4^(√8)

4^(2.82842712475)

= 50.452514

Round up to nearest ten thousandths.

Answer:

Use calculator it's easy ....

Answer :

3765.8

Answer:

\((2.2 \times 1019) + (1.5 \times 1016) \\ = 2241.8 + 1524 \\ = 3765.8\)

Answer:

unlikely

Step-by-step explanation:

It's unlikely because half of the pens are black and red is only 25% of the total.

Twice a number is equal to negative four :

                       2n = -4

Equation:

An equation is a formula that expresses equality by connecting two expressions with an equal sign '='. Equations and their cousins ​​in other languages ​​may have subtly different meanings. For example, in French an equation is defined as containing one or more variables, but in English any formula in its proper form consisting of two equations joined by an equal sign is an equation.

The equation resembles a weighted scale. When two bowls have the same weight (such as grain), the two weights balance the scale and are said to be equal. If you remove a certain amount of grain from one pan of the scale, you must remove the same amount of grain from the other pan to keep the scale balanced. More generally, the equation remains in equilibrium if the same operation is performed on both sides.

According to the question:

If you wanted to solve your equation:

   2x = -4

⇒ 2x/2 = -4/2

Divide both sides by 2

For getting the value of x only:

x = -2

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The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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Answer:

Here --->

Step-by-step explanation:

Integers are "whole numbers" which is negative numbers, positive numbers, and 0. rational numbers are fractions, decimals, negative numbers, positive numbers, and 0. Hope this helps! :]]

Herefore, the plane was flying at a height of approximately 31680.30 feet or 6.00 miles when it passed over the George Washington Bridge.

a. To determine the height of the plane when it passed over the George Washington Bridge, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the height of the plane is the hypotenuse, and the distance from the bridge to the landing location is one of the other sides.

First, we need to convert the distance from miles to feet, as the height of the bridge is given in feet:

6 miles = 6 * 5280 feet = 31680 feet

Using the Pythagorean theorem, we have:

Height of plane = sqrt(212^2 + 31680^2) feet

Height of plane = 31680.30 feet (rounded to two decimal places)

To convert this height to miles, we divide by the number of feet in a mile:

Height of plane = 31680.30 / 5280 miles

Height of plane = 6.00 miles (rounded to two decimal places)

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The prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.

There are 2 negative numbers in Set A οut οf a tοtal οf 4 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set A is 2/4 = 1/2.

There is 1 negative number in Set B οut οf a tοtal οf 5 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set B is 1/5.

Tο find the prοbability οf chοοsing a negative number frοm bοth sets, we need tο multiply the individual prοbabilities:

P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)

P(negative frοm Set A and negative frοm Set B) = (1/2) * (1/5) = 1/10

Therefοre, the prοbability οf chοοsing a negative number frοm bοth sets is 1/10 οr 0.1.

Cοunt the number οf negative numbers in Set A. There are 2 negative numbers.

Cοunt the number οf negative numbers in Set B. There is 1 negative number.

Find the tοtal number οf numbers in Set A. There are 4 numbers.

Find the tοtal number οf numbers in Set B. There are 5 numbers.

Use the fοrmula:

P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)

Plug in the values:

P(negative frοm Set A and negative frοm Set B) = (2/4) * (1/5)

P(negative frοm Set A and negative frοm Set B) = 1/10

Therefοre, the prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.

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Answer:

Step-by-step explanation:

4x-40=7(-2x+2) multiply inside the parenthesis with 7

4x - 40 = -14x + 14 export like terms to the same side of equation

4x + 14x = 14 + 40 add like terms

18x = 54 divide both side by 18

x = 3

If by the SAS similarity theorem, in ΔABE ≈ΔACD the AD is 24 units.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Triangles that resemble one another but may not be exactly the same size are said to be comparable triangles. When two objects have the same shape but different sizes, they can be said to be comparable. This indicates that comparable shapes superimpose one another when amplified or demagnified.

If the sides are in the same ratio or proportion and the angles are equal (corresponding angles), two triangles will be similar (corresponding sides). Similar triangles may have varied side lengths when compared individually, but they must all have equal angles and the same ratio of their side lengths.

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A share in the ratio of 2:3:1 respectively Dan received $132.

To determine how much money Dan received, we need to calculate his share based on the given ratio. The total ratio is 2 + 3 + 1 = 6. To find the fraction that represents Dan's share, we divide his ratio by the total ratio: 3 / 6 = 1/2.

Next, we need to find the amount of money that corresponds to 1/2 of the total sum. We can do this by dividing the total amount of money by the total ratio and multiplying it by Dan's ratio: ($264 / 6) * 3 = $132.

Therefore, Dan received $132 out of the $264 that were shared among the three brothers. The ratio of 2:3:1 implies that Dan's share is three times the value of the smallest ratio, which is 2.

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Option B. $9,255.75, Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of

To find the present value of an infinite stream of cash flows, we can use the formula:

PV = CF / r

where PV is the present value, CF is the cash flow per period, and r is the interest rate per period.

In this case, CF = $100 (received at the end of each year forever) and r = 10%.

Plugging in the numbers, we get:

PV = $100 / 0.10 = $1,000

So the present value of the infinite stream of cash flows is $1,000.

However, we need to adjust for the fact that the cash flows are received at the end of each year, not at the beginning. To do this, we can use the formula:

PV = CF / (r - g)

where g is the growth rate of the cash flows, which in this case is 0 (since the cash flows are constant).

Plugging in the numbers, we get:

PV = $100 / (0.10 - 0) = $1,000

So the present value of the infinite stream of cash flows received at the end of each year is also $1,000.

Therefore, the answer must include the present value of an infinite stream of cash flows. Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of cash flows.

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Answer:

4th term is 274.4 cm

5th term is 192.08 cm

Step-by-step explanation:

Here, we want to get the 4th and 5th term

Let us get the common ratio;

That would be ;

392/560 = 560/800 = 0.7

The 4th term will be ar^3

= 800 * 0.7^3 = 274.4

The 5th term will be ar^4

= 800 * 0.7^4 = 192.08

The age of Barbra is 22 years.

The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.

Now, according to the question.

Let 'a' be the age of Alice.

Let 'b' be the age of Barbra

Let 'c' be the age of Carol.

The sum of age of all three sisters is 68 years.

Thus,  a + b + c = 68

Now, as Alice is three years younger than Barbra.

a = b - 3

and, Barbra is 5 years younger than Carol.

b = c - 5

c = b + 5

By substitution of values of a and c in total age.

(b - 3) + b + (b + 5) = 68

3b - 3 + 5 = 68

On solving the expression.

b = 22

Therefore, the age of Barbra is 22 years.

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On average the 50 students need to raise $25 each.

What is average?

In plain English, an average is a single number chosen to represent a group of numbers; it is typically the sum of the numbers divided by the number of numbers in the group. The average of the numbers 2, 3, 4, 7, and 9 is, for instance, 5.

Given: Fifty students in the seventh grade are trying to raise at least $2,000 for sports supplies. They have already raised $750.

To find the number of students should each student raise, on average, in order to meet the goal.

Let, $2000 - $750 = $1250

So,

$1250/50 = 25

Hence, on average the 50 students need to raise $25 each.

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Sam need to score at least 80 to earn B in probability.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however doubtless an occurrence is to occur, or however doubtless it's that a proposition is true.

Main body;

Sam's test score are 82, 91, and 67.

After adding we can find the total score of sam after 3 exam .

82+91+67 = 240

Average of 3 test score = 240/3

                                        = 80

sam need to score at least 80% ,

so to maintain 80% , he need to score 80 more in the last test.

Hence ,Sam need to score at least 80 to earn B in probability.

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The general solution of the differential equation is y(x)=x−16ln|x|+1,  the graph for the equation is attached herewith.

For finding  the solution for the differential equation , we need to integrate it, where the initial values are considered to be the  lower limit of the integration

dy/dx=x−16/x , separating the like variables

dy=x−16xdx , now integrating both sides with  x=-1, y=0  and   x=x, let y=y(x)

∫y(x)0 dy=∫x −1[x/x−16/x]dx

∫y(x)0dy=∫x−1[1−16/x]dx

= [y] (y(x),0) =[x−16ln|x|] x, −1

=y(x) −0 =[x−16ln|x|] − [(−1)−16ln|(−1)|]

=y(x)=[x−16ln|x|]−[−1−16ln|1|]

y(x)=x−16ln|x|+1+16(0)   ,  as   ln|−1|=ln|1|=0]

=y(x)=x−16ln|x|+1

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Find the general solution of the differential equation. Use a graphing utility to graph three solutions, one of which passes through the given point.

dy/dx=x−16/x(−1,0)

The equation that represents the exponential function passing through the points (-2, 1) and (2, 16) is: y = 4(2)^x

To write the exponential equation that passes through the points (-2, 1) and (2, 16), we can use the general form of an exponential function:

y = ab^x

Where y is the dependent variable, x is the independent variable, a is the initial value or y-intercept, and b is the base of the exponential function.

Step 1: Determine the value of a.

To find the value of a, substitute the coordinates of one of the given points into the equation. Let's use (-2, 1):

1 = ab^(-2)

Step 2: Determine the value of b.

To find the value of b, substitute the coordinates of the other given point into the equation. Let's use (2, 16):

16 = ab^2

Step 3: Solve the system of equations.

We now have a system of two equations with two unknowns (a and b):

1 = ab^(-2)

16 = ab^2

We can solve this system of equations to find the values of a and b. To do this, divide the second equation by the first equation:

16 / 1 = (ab^2) / (ab^(-2))

16 = b^4

Taking the fourth root of both sides, we get:

b = ±2

Step 4: Substitute the value of b back into one of the original equations to solve for a.

Let's substitute b = 2 into the first equation:

1 = a(2)^(-2)

1 = a / 4

a = 4

Alternatively, if we had chosen b = -2, we would have obtained a = -4, and the equation would be:

y = -4(-2)^x

Both equations represent exponential functions that pass through the given points.

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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