MATHEMATICS HIGH SCHOOL

Find nth term of 14,23,32,41

Answers

Answer 1
Answer:

Answer:

The nth term of the series is 5-9n.

Step-by-step explanation:

Given : Series 14, 23, 32, 41,..

To find : The nth term of the series ?

Solution :

The given series 14, 23, 32, 41,.. is an arithmetic series as the difference between term is common.

Where, first term is a=14 and common difference d=23-14=9

The nth term of the arithmetic series isa_n=a+(n-1)d

a_n=a+(n-1)d

a_n=14+(n-1)9

a_n=14+9n-9

a_n=5-9n

Therefore, The nth term of the series is 5-9n.
Answer 2
Answer: 1.14
2.23
3.32
4.41
5.50
6.59
7.68
8.77
9.86

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The access code for a​ car's security system consists of four digits. The first digit cannot be 5 and the last digit must be even.
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point v is located at (-2,6) on the coordinate plane. Point V is reflected over the y-axis to create point V Poinr v is then reflected over the x axis to create point V What ordered pair describes the location of V

Answers

Shouldn’t it be (2,-6), might be wrong. All points can be Point V, else they’ll be the same (I’m in geo only).

Name four angles whose tangent equals 0. a. 45°, 135°, 405°, 495° c. 0°, 180°, 360°, 540° b. 90°, 270°, 450°, 630° d. 90°, 450°, 810°, 1170°

Answers

Answer:

C.)  0°, 180°, 360°, 540°

is correct !

Answer:

C. SEE ATTACHED PICTURE

Step-by-step explanation:

Tangent = 0 at 0° and 180°

0° = 360° and. 180° = 540°

I traveled 117 miles in 2.25 hours. What was my average speed? How would I solve this ?

Answers

117 miles in 2.25 hours

Divide both numbers by 2.25

52 miles per hour
You just divide 117 in 2.25 and you will get a answer of.... 52MPH 

According to the Central Limit Theorem, a) in a sufficiently large random sample, the distribution of a random variable X, with mean μ and standard deviation σ, is a normal distribution with mean μ and standard deviation σ/sqrt(n)b) The Central Limit Theorem does not apply to heavily skewed distributions.
True or False?

Answers

The statement is True. According to the Central Limit Theorem, in a sufficiently large random sample, the distribution of a random variable X, with mean μ and standard deviation σ, is a normal distribution with mean μ and standard deviation σ/sqrt(n).

1. The Central Limit Theorem states that the distribution of the sample means of a large sample size will approach a normal distribution, regardless of the original distribution of the population from which the sample is drawn.
2. For a sufficiently large sample size, the mean of the sample means will approach the population mean (μ) and the standard deviation of the sample means will approach the population standard deviation divided by the square root of the sample size (σ/sqrt(n)).
3. Therefore, in a sufficiently large random sample, the distribution of a random variable X, with mean μ and standard deviation σ, is a normal distribution with mean μ and standard deviation σ/sqrt(n).

This is the case because the Central Limit Theorem states that the distribution of sample means is approximately normal, regardless of the original distribution of the population from which the sample is drawn.

To know more about central limit theorem, refer here:

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True so there is the answer

Solve for x. Round to the nearest tenth, if necessary.

Answers

The value of the variable 'x' using the cosine formula will be 9.4 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠VWU. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 32° = 8 / x

x = 9.4

The value of the variable 'x' using the cosine formula will be 9.4 units.

More about the right-angle triangle link is given below.

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Answer:

9.4

Step-by-step explanation:

cos 32° = 8/x

x = 8/ cos 32°

= 8/ 0.8480

= 9.4

A cylindrical swimming pool has a diameter of 18 feet and a height of 4 feet. About how many liters of water are needed to fill the swimming pool 85% of its total volume? Round your answer to the nearest whole number. (1 ft³ ≈ 28.3 L) To the nearest whole number of liters.

Answers

Final answer:

To fill a cylindrical swimming pool with a diameter of 18 feet and a height of 4 feet 85% full, you'll need approximately 24462 liters of water.

Explanation:

To determine how many liters of water are needed to fill the swimming pool to 85% of its total volume, we first need to calculate the total volume of the cylindrical pool. The formula to calculate the volume of a cylinder is V=πr²h were r is the radius (half of the diameter) and h is the height. Therefore, the pool's total volume in cubic feet is V=π*9²*4 ≈ 1018 ft³. However, the student only wants to fill the swimming pool up to 85%, so we multiply this total volume by 0.85 to get approximately 865 ft³.

Since 1 ft³ ≈ 28.3 L, we can calculate the needed volume in liters by multiplying the 865 ft³ by 28.3 to obtain approximately 24462 liters of water. Round to the nearest whole number, so about 24462 liters of water are needed to fill the swimming pool es up to 85% of its volume.

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