Write an explicit formula for an, the nth term of the sequence 5,10,15

Answer:

Step-by-step explanation:

horizontal distance = 62/tan(51°) ≅ 50.2 m

The distance between the building base to a standing point is 50.20 m if the angle of elevation from the ground to the top of the building is 51 degrees.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle.

It is given that:

You look up at a 62 m tall building and find that the angle of elevation from the ground to the top of the building is 51 degrees.

The angle = 51 degrees.

The height of the building = 62 m

Applying the tan ratio

tan51 = height of the building/distance between the building base to a standing point

tan51 = 62/x

x = 50.20 m

Thus, the distance between the building base to a standing point is 50.20 m if the angle of elevation from the ground to the top of the building is 51 degrees.

Learn more about trigonometry here:

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Answer:

y+x = 527- 195

Step-by-step explanation:

correct me if im wrong pls anyone!

Answer:

Square

Step-by-step explanation:

Probably square

Answer:

13

Step-by-step explanation:

10/2=5

5+8=13

Answer:

[tex]\displaystyle \frac{2x + 5}{x - 9}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{2x^2 + 13x + 20}{x^2 - 5x - 36}[/tex]

Step 2: Simplify

Answer:

B

Step-by-step explanation:

I Had this

Step-by-step explanation:

Perimeter is the sum of every side

6t-2 + 3t+6 + 10t+7 + 10t+4

= 6t + 3t + 10t + 10t -2 +6 +7 +4

= 29t + 15

Answer:

“It’s not hard to steal points”.........................................so thx for points....................................bye

Step-by-step explanation:

Answer:

exact form: 8√2

decimal form: 11.3137

Answer:

i dont know

Step-by-step explanation:

Given parameters :

To find :

Solution with details :

Let us take the age of Donny as x years - i

According to the given question we have ,

Total ages of three people = Sum of their ages

-3t < -78

÷-3      ÷-3

_________

t > 26

78÷26=3

Answer:

If the current temperature is 0 degrees C then:

27 hours

Step-by-step explanation:

108 divided by 4=27 hours.

Answer:

BBBBBBBB

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Subtract 60-20 you'll get the answer

Step-by-step explanation:

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Answer:

A= 360

Step-by-step explanation:

360

Answer:

circle

Step-by-step explanation:

You can see there is a x^2 and y^2 and 24 x and 26 y meaning if you do complete the square you can write it as a circle in standard form

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Explanation:

The jump from 30 miles to 150 miles is "times 5", meaning 30*5 = 150.

So we need to multiply both sides of the equation

30 miles = 1 cm

by 5 and we get

5*(30 miles) = 5*(1 cm)

150 miles = 5 cm

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

Another way to solve:

This involves proportions

Let x be the distance on the paper map that corresponds to 150 miles

(150 miles)/(x cm) = (30 miles)/(1 cm)

150/x = 30/1

150*1 = x*30 .... cross multiply

150 = 30x

30x = 150

30x/30 = 150/30 ... divide both sides by 30

x = 5 cm is the distance on the paper map

Answer:

The radius of the ball is of 6 feet.

Step-by-step explanation:

The radius of the ball in spheric format is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In which r is the radius.

A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball?

Volume in cubic feet, so the radius will be in feet. We have to find r for which [tex]V = 904.32[/tex]. So

[tex]V = \frac{4\pi r^3}{3}[/tex]

[tex]904.32 = \frac{4\pi r^3}{3}[/tex]

[tex]r^3 = \frac{904.32*3}{4\pi}[/tex]

[tex]r = \sqrt[3]{\frac{904.32*3}{4\pi}}[/tex]

[tex]r = 6[/tex]

The radius of the ball is of 6 feet.

Part A: He could make 14 toy trucks.

Divide 85 by 6.

85/6

14

(don't take any notice to the decimals)

Part B: He would have 1 piece of wood leftover.

6x14=84

Since Mr. Williams has 85 pieces of wood,

he would have 1 leftover.

Hope this helped!

Answer:

A.) X ~ N(18.5, 3.75)

B.) SumX ~ N(1017.5,27.8).

C.) 0.0122 = 1.22% probability that the professor will need to read a total of more than 1080 pages.

Step-by-step explanation:

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b.

The mean is given by:

[tex]M = \frac{a+b}{2}[/tex]

The standard deviation is given by:

[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The uniform distribution can be approximated to the normal, using its mean and its standard deviation.

Sum of n terms of a normally distributed variable:

The mean of the sum will be:

[tex]\mu_{s} = n\mu[/tex]

The standard deviation of the sum will be:

[tex]\sigma_{s} = \sqrt{n}\sigma[/tex]

Suppose that the length of research papers is uniformly distributed from 12 to 25 pages.

This means that [tex]a = 12, b = 25[/tex]

We survey a class in which 55 research papers were turned in to a professor.

This means that [tex]n = 55[/tex]

A.) Give the distribution of X.

The mean has already been given, and the standard deviation is:

[tex]S = \sqrt{\frac{(25-12)^2}{12}} = 3.75[/tex]

So

X ~ N(18.5, 3.75)

B.) Give the distribution of SumX.

Sum of 55 papers, the standard deviation will be of:

[tex]\sigma_{s} = \sqrt{55}*3.75 = 27.8[/tex]

So

SumX ~ N(1017.5,27.8).

C). Calculate the probability that the professor will need to read a total of more than 1080 pages

This is 1 subtracted by the pvalue of Z when X = 1080. So

[tex]Z = \frac{X - \mu_{s}}{\sigma_{s}}[/tex]

[tex]Z = \frac{1080 - 1017.5}{27.8}[/tex]

[tex]Z = 2.25[/tex]

[tex]Z = 2.25[/tex] has a pvalue of 0.9878

1 - 0.9878 = 0.0122

0.0122 = 1.22% probability that the professor will need to read a total of more than 1080 pages.

Answer:

0.75, 0.5, 0.25, 0.05

Hope it helps!!!

B.)0.75, 0.5,0.25,0.05

0.25

0.52

0.75    greatest

0.05    Least

Answer:

No.

Step-by-step explanation:

27+3=30, not 20.

Answer:

Nopeeee it is not

Step-by-step explanation:

20 = 27 + 3 ?

20 = 30 ?

Nope

m = 27 is not a solution

Answer:

1.) The point (24,30) would not be on the line

2.) The point (12,13) would not be on the line either

4.) The slope is a fraction of 2/1

Bonus: y = (2/1)x - 2

Step-by-step explanation:

For question three, I looked at the (6,10) point on the graph and compared it with the (a,8) point. That showed me that the y coordinate always moves by 2. Then I looked at the (6,10) coordinate and the (a,8) coordinate and the (4,b) coordinate and saw that there was one x coordinate between 6 and 4 so it must be five. That means the x coordinate moves by 1.

Let me know if you need more help!

:)

Answer:

54

Step-by-step explanation:

Let us assume the examination class is of 100 students

Now 55% scored 70%  so 55% of 100 is 55

And, the 54% scored above 70% so 54% of 100 is 54

Therefore there are 54 who scored above 70%

Hence, the same would be considered and relevant too

Answer:

She should use the formula [tex]C = \pi d[/tex] to find a diameter of 16 inches.

Step-by-step explanation:

The circunference of a circle is given by:

[tex]C = 2\pi r[/tex]

In which r is the radius, which is half the diameter. So, it can also be given by the following formula:

[tex]C = 2\pi \frac{d}{2} = \pi d[/tex]

In which d is the diameter.

Which formula should Maria use to help her find the diameter of the rug?

She should use this formula:

[tex]C = \pi d[/tex]

Since the circunference is 50.24 inches, the diameter will be of:

[tex]d = \frac{C}{\pi} = \frac{50.24}{\pi} = 16[/tex]

Answer:

3.6 more miles

Step-by-step explanation:

10.4 - 6.8 = 3.6

This question is incomplete, the complete question is;

Assume that the probability of error-free transmission of a message over a communication channel is p=0.9. If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that:

a) No retransmission is required.

b) Exactly two retransmissions are required

Answer:

a) probability that No retransmission is required is  0.90

b) the probability that exactly two retransmissions are required is 0.009

Step-by-step explanation:

Given the data in the question;

the probability of error-free transmission of a message over a communication channel is p = 0.9

a) probability that No retransmission is required will be;

Let x represent the error-free transmission of a message

Now, the P( error-free_transmission_of_a_message) = 0.90

so;

P( X=0 ) = 0.90( 1 - 0.90 )⁰

P( X=0 ) = 0.90( 0.1 )⁰

P( X=0 ) = 0.90( 1 )

P( X=0 ) = 0.90

Therefore, probability that No retransmission is required is  0.90

b) Probability that exactly two retransmissions are required will be;

P( X=2 ) = 0.90( 1 - 0.90 )²

P( X=2 ) = 0.90( 0.1 )²

P( X=2 ) = 0.90( 0.01)

P( X=2 ) = 0.009

Therefore, the probability that exactly two retransmissions are required is 0.009

Answer:

$6,000

Step-by-step explanation:

If her food costed $2500 and was 25%, then she had $10,000 to begin with. 3/5 of $10,000 is $6,000, so her rent costs $6,000.

Answer:

$6,000 on rent

Step-by-step explanation:

Find her weekly salary by dividing 2500 by 0.25

2500/0.25

= 10,000

Now, find how much she spent on rent by multiplying 10,000 by 3/5

10,000(3/5)

= 6,000

So, she spent $6,000 on rent