Show that(x+1)(x+3)(x+5)can be written in the form ax^3+bx^2+cx+d where a,b,c and d are all positive integers.

The figure consists of two rectangles of dimensions 5 by 7 and 3 by 4, which is rotated to give a solid with volume of approximately 882.9 unit³

The volume of the solid generated by rotating the figure that can be considered as consisting of two rectangles, is a composite solid consisting of two cylinders.

Volume of a cylinder = π•r²•h

Radius of one the larger cylinder = 7

Height of the large cylinder = 5

Volume of the large cylinder, V, is therefore;

Radius of the smaller cylinder = 7 - 4 = 3

Height of the smaller cylinder = 9 - 5 = 4

The volume is therefore;

The volume of the solid generated by rotating the figure about side \( \mathbf{\overline{RW}} \) is therefore;

V = V1 + V2

Which gives;

The volume of the solid generated by rotating the figure is therefore;

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lamo thought it said terrorists

Answer:

14+9 14×9that is the answer

Answer:

A. 7377 s

B. 5.72 m/s

C. 5.86 m/s

Step-by-step explanation:

A. Determination of the time in second.

Time (t) = 2 hours, 2 minutes and 57 seconds

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Next, we shall convert 2 mins to seconds. This can be obtained as follow:

1 min = 60 s

Therefore,

2 mins = 2 mins × 60 s / 1 min

2 mins = 120 s

Finally, we shall determine the total time in second. This can be obtained as follow:

2 hours, 2 minutes and 57 seconds = 7200 s + 120 s + 57 s

= 7377 s

Therefore, the total time in second is 7377 s

B. Determination of the average speed.

Total distance = 42195 m

Total time = 7377 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7377

Average speed = 5.72 m/s

Therefore, the average speed is 5.72 m/s

C. Determination of the average speed.

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Finally, we shall determine the average speed. This can be obtained as follow:

Total distance = 42195 m

Total time = 7200 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7200

Average speed = 5.86 m/s

Therefore, the average speed is 5.86 m/s.

The area of the reports center where you can find default reports displaying income and expenses in year-over-year comparisons, often using pie charts and bar graphs is the "Income Statement Comparison."

The Income Statement Comparison is one of the default reports found in the Reports Center area.

In this report, a year-over-year comparison of your income and expense is displayed.

This comparison is often presented in pie charts and bar graphs. It gives a clear view of the profit and loss over a year.

This report helps the business owner understand where their money is coming from and where it's going.

It provides an accurate and comprehensive overview of business revenue and expenses for the year.

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Number 1  is B

Number 2 is D

We have that, determining the value of the truth, we obtain the following:

P(María): María is a professional athlete (False)

¬P(María): María is not a professional athlete (Ferdadera)

P (Mary): Mary plays soccer (True)

The statement P(x) denotes the statement "x is a professional athlete", and Q(x) denotes the statement "x plays soccer". The domain of discourse is the set of all persons. In words, each of the propositions can be given as follows:

¬P(María): María is not a professional athlete.

Q(María): María is a professional athlete.

Q(John): John plays soccer.

Q (Mary): Mary plays soccer.

The truth value of each of the above statements is as follows:

¬P (Mary): This assertion is true because Mary is not a professional athlete. Therefore, the denial of the statement "Mary is a professional athlete" is true.

Q (Maria): The truth value of this statement is unknown because we don't know if Maria is a professional athlete or not.

P (John): The truth of this value statement is unknown because we don't know if John plays soccer or not.

Q (Mary): This is false, since we know from the first statement that Mary is not a professional athlete, so she cannot play professional soccer.

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Answer:

See attached

Step-by-step explanation:

Approximate angle drawings......

Answer:

the answer would be 25

Step-by-step explanation:

10 goes in to 250 25 times

The correct answer for the value of  division of 250 by 10 is 25.

What is Division?

Division involves splitting a number or quantity into equal parts or groups. it  is a mathematical operation.

When  the division of  one number (the dividend) by another number (the divisor) is performed, the results determined  how many times the divisor can fit into the dividend.

quotient is the result of division.

Signs that used to indicate division are ÷  and /.

In the given question \(250\) is divided by \(10\) , which is expressed as \(250\) ÷ \(10\)

or \(\dfrac{250}{10}\).

\(\dfrac{250}{10} = 25\).

The Quotient for the division of 250 divide by 10 is 25.

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Answer: g(x) = 20(1.5)^x

Step-by-step explanation: Just took the test and passed.

According to the information, we can infer that the function that best models the number of game consoles sold in millions x years since 2010 is g(x) = 20(1.5)^x (option c).

To find the function that best models the data, we can use the method of exponential regression. Based on the given points, we can see that the number of game consoles sold is increasing exponentially over time.

We can use the exponential regression formula y = ab^x, where y is the number of game consoles sold, x is the number of years since 2010, a is the initial amount sold in 2010, and b is the growth factor or the factor by which the consoles sold increase each year.

Using the given points, we can form three equations based on the three coordinate pairs:

20 = ab^0 -----(1)

45 = ab^2 -----(2)

101.25 = ab^4 -----(3)

Dividing equation (2) by equation (1), we get:

45/20 = (ab^2)/(ab^0)

2.25 = b^2

Taking the square root of both sides, we get:

b ≈ 1.5

Substituting this value of b into equation (1), we can solve for a:

20 = a(1.5)^0

a = 20

Therefore, the function that best models the data is:

g(x) = 20(1.5)^x

So, the answer is option C.

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Answer:

12x-4=80

12x=80+4

=84

x=84÷12

=7

Answer:

8.90

Step-by-step explanation:

Answer: $8.90

Step-by-step explanation:

Should be 8.90

Answer:

x = 5/2

Step-by-step explanation:

hope this helps!!!

Answer:

x = 5/2

Step-by-step explanation:

2x = 5

⇒ x = 5/2

Answer:

1

Step-by-step explanation:

Answer:

1.

  1). 1/8

  2). 1/10

  3). 1/15

  4). 1/16

Based on your question, it sounds like you are asking about random variables that have a joint probability density function (PDF) of 1/50 over a certain range of values.

In probability theory, a random variable is a variable whose value is determined by chance. It can take on a range of possible values, and the probabilities of each possible value occurring can be described using a probability distribution.

A joint probability density function is a function that describes the probabilities of two or more random variables taking on specific values simultaneously. In your case, you have two random variables that have a joint PDF of 1/50.

Without knowing the specific range of values over which the PDF is defined, it's hard to provide a more detailed answer. However, here are a few general observations about random variables and joint PDFs:

- Random variables can be either discrete or continuous. Discrete random variables take on specific, countable values (e.g. the number of heads in a series of coin tosses), while continuous random variables can take on any value within a certain range (e.g. the height of a randomly selected person).
- A joint PDF is typically used to describe the behavior of two or more continuous random variables. It gives the probability density at each point in the two-dimensional space defined by the values of the two variables.
- The total probability over the entire range of values for a joint PDF must sum to 1. This ensures that the probability of all possible outcomes occurring is equal to 1.

I hope this helps! If you have any further questions or clarifications, please let me know.
It seems that you are asking about random variables with a joint probability density function (pdf) of 1/50. Random variables are quantities that can take on different values according to some probability distribution. When two or more random variables are considered together, their relationship can be described using a joint pdf. In this case, the joint pdf is 1/50, indicating that the probability of a specific combination of these random variables is 1/50.

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The car travels 45.84 meters in 3 seconds.

To solve this problem, we need to convert the speed of the car from kilometers per hour to meters per second since the time given is in seconds.
To do this, we can use the conversion factor that 1 kilometer is equal to 1000 meters and 1 hour is equal to 3600 seconds.
So, 55 kilometers per hour is equal to (55 x 1000) / 3600 = 15.28 meters per second.
Now, we can use the formula: distance = speed x time
Plugging in the values, we get distance = 15.28 meters per second x 3 seconds = 45.84 meters.
Therefore, the car travels 45.84 meters in 3 seconds.

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Answer:

it should be D/120

Step-by-step explanation:

An example of the box is:

5 the width

3 the length

1 the height.

That would be 5 x 3 x 1.

To double them, you must multiply each number by 2:

5 x 2 = 10

3 x 2 = 6

1 x 2 = 2.

Now the equation is 10 x 6 x 2.

First multiply 10 x 6 (60).

Then 60 x 2 (120).

120 is the answer

Answer:

d 21xysxhducux6cyvivivi

Answer:

Add decimals the same way as whole numbers, taking care to align the decimal points. Equivalently, align the ones because every number has ones.

Step-by-step explanation:

Answer:

b = (4/3), with rounding

Step-by-step explanation:

Area = A, in cm^2

n = days

A(n) = \(A_{0}\)\(b^{n}\)

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

Data:

n = 2, A = 1.8

A(n) = \(A_{0}\)\(b^{n}\)

1.8 =  \(A_{0}\)\(b^{2}\)

n = 3, A = 2.4

2.4 = \(A_{0}\)\(b^{3}\)

Although we are not given the initial area, we can still make the calculation since we have two data points and each has the same initial area, \(A_{0}\).  Lets take the first equation and multiply it by b, in order to bring the \(b^{2}\) to \(b^{3}\)

1.8 =  \(A_{0}\)\(b^{2}\)

b(1.8 =  \(A_{0}\)\(b^{2}\))

1.8b = \(A_{0}\)\(b^{3}\)

We can know from the second equation that 2.4 = \(A_{0}\)\(b^{3}\) .  We can eliminate this term in the above relationship by substituting 2.4:

1.8b = \(A_{0}\)\(b^{3}\)

1.8b = 2.4

b =  1.3333

       or (4/3)

Check:

Does the value of (4/3) for b work for both data points?  To check this, we do need to assume an initial starting area.  Lets assume the starting area, \(A_{0}\) = 1.

n = 2, A = 1.8, b = (4/3)

A(n) = \(A_{0}\)\(b^{n}\)

1.8 =  1*\((4/3)^{n}\)

1.8 =  1.78  Close enough?

n = 3, A = 2.4, b = (4/3)

2.4 = \(A_{0}\)\((4/3)^{n}\)

2.4 = 1*\((4/3)^{3}\)

2.4 = 2.37 Close enough?

Answer:

5x

Step-by-step explanation: x + y + 2x + 2y + 4x + 5z

x + 4x + 2x + y + 2y + 5z

7x + 3y + 5z

Answer:

67 mph

Step-by-step explanation

A method you'd want to remember is r = d/t, or rate equals distance divided by time.

Since the Morris family drove 368.5 miles in 5.5 hours, you'd divide the distance by 5.5.

(368.5/5.5) = 67 miles per hour.

So their average rate is 67 miles per hour.

Answer:

Looking for one leg of right triangle

pythg theorem hypotenuse^2 = leg1 ^2 + leg2 ^2

9^2 = 5^2 + leg2 ^2

legg 2 = sqrt (9^2 - 5^2) = sqrt 56 = 2 sqrt 14

Answer:

Ramon, 16 hours

Step-by-step explanation:

The weight of each red marble is 120/5= 24 grams.

The bag contains 25 marbles and the mean weight is 16 grams.

In the bag, there are yellow, green, and red marbles.

Let us suppose the number of red marbles is x, and let the weight of each red marble be y grams.

Hence the total weight of the bag is: y × x + 10 × 12 + 20 × 8 = 25 × 16

y × x = 25 × 16 - 10 × 12 - 20 × 8

y × x = 400 - 120 - 160

y × x = 120 grams

Therefore, the weight of each red marble is 120/x grams.

x is 25-12-8= 5

The weight of each red marble is 120/5= 24 grams.

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This is a line portrayed in point-slope form.

First, put a point at (0, -1). This is your y-intercept.

Next, go down 4 units and to the right one unit. Place a point at (1, -4). Then go down another 4 units and right once more. Place a point at (2, -8).

Now, go back to your y-intercept and go up 4 units and to the left one unit. Place a point at (-1, 3).

Finally, draw a line connecting all your points.