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2 years ago

What is the nth term for the sequence 5 , 14 , 29 , 50 , 77

1 answer:

8 0

The answer would be 3n^2 + 2.

This can be found/proven by replacing "n" with term number (1,2,3,4...), then solving to get the final number. For example 3 * 1^2 + 2. You would first do 1^2, which is 1. Next, you would multiply 1 by 3, to get 3. Finally, you'd and the 2 to get 5. 5 is the 1st term, and you can use this same equation to get the rest of the terms you need.

I hope this helps!

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YOOO PLEASE HELPPPP!!!!

Evgesh-ka [11]

Given:

Base length of triangle = 40 units

Height of triangle = 9 units

Length of hypotenuse of triangle = 41 units

To find:

Find the value of Tan A

Steps:

Tan of an angle is equal to the opposite length by adjacent length.

So,

Tan A = $\frac{opposite}{adjacent}$

Tan A = $\frac{9}{40}$

Tan A = 0.225

Therefore, the exact value of Tan A is 0.225.

Happy to help :)

If you need any help, feel free to ask

4 0

2 years ago

How to construct a triangle with side lengths 10 cm and 14 cm and an angle between them of 60 degrees.

Yuliya22 [10]

Answer:

We draw line AB which is perpendicular to the 14 cm side

Since Angle C is 60 degrees that makes angle CAB = 30 degrees

Triangle CAB is a 30 60 90 triangle so line CB is half the hypotenuse or 5 cm

Line BD equals 9 cm

Line AB^2 = 10^2 - 5^2 = 75

Line AD^2 = AB^2 + BD^2

Line AD^2 = 75 + 81

Line AD^2 = 156

Line AD = 12.4899959968

Line AB = Sqr root (75) = 8.6602540378

Angle D = arc sine (8.6602540378 / 12.4899959968)

Angle D = 43.898 degrees

Angle A = 180 - 60 - 43.898 = 76.102 degrees

*****************************************************************

Actually this could have been done a little easier by using the Law of Cosines and then the Law of Sines, but I just thought I'd show another way to solve this.

Step-by-step explanation:

4 0

2 years ago

ASAP PLEASE ASAP PLEASE ASAP PLEASE ASAP PLEASE Ms. Perkins wants to rent a car for a day. It will cost the daily fee of $75 plu

m_a_m_a [10]

Part A would be $75+.$55m and part B would be $165 +$75=$240

7 0

2 years ago

Find the equation of the straight line that passes through points (-1; -2) and (3; 4)

Leya [2.2K]

Y=mx+b is our base equation

m=slope, so let's find that first:
m= change in y/change in x
So between the points (-1,-2) and (3,4),
The y values, -2 and 4, have a difference of 6. The x values, -1 and 3, have a difference of 4. This makes our slope 6/4 (or 3/2 simplified)

Now our equation is
Y=3/2x + b

We still need to find b
To find b, we can substitute a point given to us. Let's use (3,4) just to avoid negatives.

4=3/2(3) + b
Multiply
4=9/2 + b
Subtract 9/2 from both sides
-1/2=b

Now let's put it all back together!

Y=3/2x-1/2 Is the answer.

I hope this Helps!

6 0

2 years ago

Find the critical value from the Studentized range distribution for H0: μ1 = μ2 = μ3 = μ4 = μ5, with n = 35 at α = 0.01. Provide

Aleonysh [2.5K]

Answer:

t-value = 2.441

Step-by-step explanation:

Let's assume that this is a one-tailed test to calculate the critical value, the process is this:

Calculate alpha (α): α = 1 - (confidence level / 100) , but we already have this α=0.01
Find the critical probability (p*): p* = 1 - α/2 = 1-0.005=0.995
Then, the critical value would be shown as a t statistic, but for this we need:

degrees of freedom (df)= n-1=35-1=34

The critical t statistic (t*) or critical value is the t-value having degrees of freedom equal to 34 and a cumulative probability equal to 0.995.

From the attached table we can see:

t-value = 2.441

8 0

3 years ago