MATHEMATICS HIGH SCHOOL

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

Answer 1
Answer: 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 

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teacher asked her students write down the number of hours studied rounded to the nearest half hour. she complies the results in develops the probability distribution below for randomly selected student. what is the mean of the probability distribution

Answers

Answer:

1.5

Step-by-step explanation:

The question is incomplete due to the probability distribution table, investigating you can find it so I will attach it.

Having the table, we need to find the mean of the probability distribution, which is defined as the sum of the product of probability and value of random distribution, that is:

M = Sum (xi) * P (xi)

We replace:

M = 0.5 * 0.07 + 1 * 0.2 + 1.5 * 0.46 + 2 * 0.2 + 2.5 * 0.07

M = 1.5

Therefore, the mean of the given table is 1.5

A ball is dropped from a height of 16 feet. The ball bounces. After each bounce, the height attained by the ball is 65% of the previous height. Write an nth term formula to model the situation. What is the maximum height attained by the ball after four bounces?1.86 feet


0.24 feet


4.39 feet


2.86 feet

Answers

2.86

After the first bounce, it is 10.4 feet
after the second, it is 6.76
after the third, it is 4.39
after the fourth, it is 2.86

What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

Answers

sum is
S_(n)=(a_(1)(1-r^(n)))/(1-r)

r=common ratio
a1=first term
it looks like 2^0=1 is the first term aka a1
it goes to the 9th term (2^9)

sub
S_(9)=(1(1-(2)^(9)))/(1-2)
S_(9)=(1-512)/(-1)
S_(9)=(-511)/(-1)
S_(9)=511
so this one you don't multiply the base by the exponent. in this case its 2 times two how ever many time the exponent says.
2^0= 2
2^1= 2
2^2=4
2^3= 8
2^4=16
2^5=32
2^6=64
2^7=128
2^8=256
2^9=512
 So then you add all them up 
2+2+4+8+16+32+64+128+256+512= 1024

so there is your answer 1024

The perimeter of a rectangle is 34 units. Its width W is 6.5 units. Write an equation to represent the perimeter in terms of the length L, and find the value of L.

Answers

P=2L+2W\n\nP=34\ \ \ \ \ \ W=6.5\n\n34=2L+2\cdot6.5\n34=2L+13\n34-13=2L\n2L=21\ \ \ \ \ |:2\nL=10.5\n\nLength\ is\ equal\ 10.5

Answer:

THere ya go

Step-by-step explanation:

Find the average rate of change from x = 10 to x = 17 for the function f(x) = 0.01(2)^x and select the correct answer below.A) 10.24
B) 185.78
C) 1300.48
D) 1310.72

Answers

For x = 10, f(x) = f(10) = 0.01(2)^10 = 10.24

For x = 17, f(x) = f(17) = 0.01(2)^17 = 1310.72

Now using formula for the calculation of average rate of change of f(x).

(f(b) – f(a)) / b – a = (f(17) – f(10)) / 17 – 10 = (1310.72 -10.24) / 7 = 185.78

So option “B” is correct.

Answer:

the answer is b

Step-by-step explanation:

Write a rule for a geometric sequence that has -6 as its first term and a common ratio of 2. What is the tenth term of this sequence?A) A(n) = 2 * -6^10-1; -20,155,392
B) A(n) = -6 * 2^n; -6144
C) A(n) = -6 * 2^n-1; -3072
I need this Answered ASAP, Thank you

Answers

The general form of the geometric sequence is a_(n) = a_(1) (r) ^(n-1), where a sub n is the number term you're looking for (we're looking for the tenth term). a sub 1 is the first term in the sequence (ours is -6), r is the common ratio, and n-1 is the numbered term you're looking for minus 1.  Our formula then looks like this: a_(10) =-6(2) ^(10-1).  Simplify it to  a_(10) =-6(2)^9.  Take 2 to the 9th power then multiply it by -6 to get -3072.  C is your answer.
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