MATHEMATICS HIGH SCHOOL

the model an=395n +5419 describes the cost of tution and fees at public colleges in academic year n, where n=1 corresponds to the school year ending in 2007,n=2 to the school year ending in 2008 and so on four years

use this and the formula for sn to find the total cost of tution and fees at public colleges for four years

Answers

Answer 1
Answer: Just substitute 4 in for n, then you would get 395*4 +5419. That is 6999, so it's 6999 for four years.
Answer 2
Answer: \boxed{a_n=395n+5419}\n \n a_4=395*4+5419\n \n a_4=1580+5419\n \n \boxed{\boxed{a_4=6,999}}

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A carpenter is building a fence around a swimming pool. One side of the pool is next to the house and does not need fencing. The carpenter has 120 feet of fencing and plans to use it all. Solve the equation w + 76 + w = 120 to find the unknown dimension of the enclosed rectangular area.a. 12 ft

c. 20 ft


b. 22 ft

d. 18 ft

Answers

The answer is B. 22ft
The equation goes w + 76 + w = 120 so I'm guessing you're solving for w since that's the only remaining side you haven't discovered so first of all collect like terms:
   2w + 76 = 120
Secondly minus 76 from the equation to leave 2w on its own
   2w - 76 = 120
BUT whatever you do to one side of the equation you have to do it to the side
   2w - 76 = 120 - 76
Which will get you to 
   2w = 44
To get w on it's own you divide the equation by 2 and like before you must do the same to the other side of the equation to balance it out.
   w = 44/2
Therefore w= 22ft 

The probability of getting disease X (event A) is 0.65, and the probability of getting disease Y (event B) is 0.76. The probability of getting both disease X and disease Y is 0.494. Are events A and B dependent or independent?

Answers

Answer:

The events A and B are independent

Step-by-step explanation:

The occurrence of disease X is not impacting the chances of occurrence of disease Y. Thus, these two events have no relation with each other.

The probability of getting both the disease X and disease Y when they both are considered as two independent events

= (0.65) ( 0.76)\n= 0.494

Thus , it can be said that the events A and B are independent
I would say independent since the problem doesn't state any relation between disease X and disease Y. Also I beleive if it were dependent the probability of getting both wouldn't be .494 (which is .65 *.76). It would have to be probability of event A and event B, and then divided by probability of just B

Which is the length of PQ if the length of AB is 8?

Answers

I think that the answer is 3
AB = 8 so half of that is 4.

Using Pythagoras:

PQ^2 = 5^2 - 4^2

PQ^2 = 25 - 16 = 9

PQ = 3

4) Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.

Answers

i think its 28 because 4x7=28 and when your question said 4 to 7 i knew it would be 28!

To solve 5y - 2 - 3y=8, can you start by adding 2 each side? Justify your reasoning.

Answers

Yes, you can start by adding 2 to each side, it doesn't made a difference if you combine 5y and -3y first or not. Either way, you still get y= 5 both ways you do it.
yes , you can add the 2 to both sides. you are combining like terms. it would be easier if you start off by doing 5y - 3y = 2y so the new problem would ne 2y-2=8 then add the 2 so 2y=10 so y = 5.

In this parallelogram, the measure of     angle b    exceeds the measure of   angle a by 30        What is the measure of  angle c

Answers

angle a +angle b = 180 degrees
angle a + angle a + 30 = 180
2*angle a = 150
angle a = 75degrees
angle b = 75+30 = 105 degrees
now, angle b +angle c = 180
so, angle c = 180-105 = 75 degrees
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