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2 years ago

The product of two consecutive terms of the Arithmetic sequence 5,8,11.....is 598.find the position of the term?

Mathematics

1 answer:

lbvjy [14]2 years ago

3 0

Answer:

Step-by-step explanation:

Common difference is 3.

Let x be a term in the sequence. The next term in the sequence is x+3.

x(x+3) = 598

x² + 3x - 598 = 0

x = [-3 ± √(3²-4⋅1(-598))]/[2⋅1] = [-3 ± 49]/2 = 23, -26

-26 is an extraneous solution, so x = 23.

The two terms are 23 and 26.

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White raven [17]

It's approximately 0.0032

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2 years ago

Read 2 more answers

A CLOSER LOOK AT Compound Inequalities We previously learned that compound inequalities are two inequalities joined by the word

alex41 [277]

Answer:

The sign at the ticket booth should read "Guests that are under 3 years old or over 62 years old get free admission!"

Step-by-step explanation:

Compound inequalities are the combination of two inequalities by the words "or" or "and".

In the given example, the compound inequality is,

Guests that are under 3 years old and over 62 years old get free admission!

The given inequality can be broken into two individual inequalities as,

Inequality 1: Guests that are under 3 years old get free admission

Inequality 2: Guests that are over 62 years old get free admission

The above two inequalities are combined by "and" in the given compound inequality.

Now, "and" signifies that both the conditions or inequalities should be fulfilled at the same time. But a guest can either be under 3 years old or he/she should be older than 62. Both the conditions cannot be fulfilled at the same time and hence, the sign doesn't make any sense.

To correct the sign, "and" should be replaced with "or".

Therefore, the corrected sign at the ticked booth should read "Guests that are under 3 years old or over 62 years old get free admission!".

For more details, refer to the link:

brainly.com/question/20296065?referrer=searchResults

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2 years ago

Will give crown thingy if right Can you find the area and circumference of a circle given the radius or diameter?

Artist 52 [7]

Answer:

Therefore it is possible to find the circumference and area of a circle if we are given the radius or diameter of the circle.

Step-by-step explanation:

i) to find the area of a circle or circumference the radius , r, is required.

ii) if we are given the diameter, d. then we have to find the radius, r, by dividing the diameter by 2, that is $d = \frac{r}{2}$ .

iii) area of the circle is given by A = $\pi r^{2}$

iv) circumference of the circle is given by C = $2\pi r$

Therefore it is possible to find the circumference and area of a circle if we are given the radius or diameter of the circle.

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2 years ago

Name the plane that contains points A, D, and E.

Verdich [7]

Answer:

Plane T

Step-by-step explanation:

The given points A, D, and E are shown as being on the plane T as follows

Point a lays on the boundary of the boundary between plane S and plane T

Points D and E are points on a line DE that is on the plane T

Therefore, given that the line DE and the point A all lay on the same plane T, the plane that contains points A, D, and E, is plane T.

6 0

2 years ago

Marathon runner covered the whole distance in 4 hours running at a constant speed of 8.1 km per hour. How long would it take him

katen-ka-za [31]

Answer: it will take him 4.5 hours to cover same distance

Step-by-step explanation:

Marathon runner covered the whole distance in 4 hours running at a constant speed of 8.1 km per hour.

Speed = distance / time

Distance = speed×time

Therefore, distance covered by the marathon runner in in 4 hours, running at a speed of 8.1 km per hour is

8.1 × 4 = 32.4 kilometers

if he decreased the speed to 7.2 km per hour, the distance remains 32.4 kilometers. Therefore,

At 7.2 km per hour, the time it would take him to cover the same distance would be

Distance/ speed = 32.4/7.2 = 4.5 hours

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2 years ago