MATHEMATICS HIGH SCHOOL

If z varies inversely as​ w, and zequals4
when wequals
6​,
find z when wequals
8.

Answers

Answer 1
Answer: z = 4 , w = 6
z = x , w = 8

Therefore, z = (4*8) / 6
                     = 32 / 6
                     = 16/3 = 5.333

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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

What is 16.403 round to the nearest tenth?

Answers

Well, since there is a 0 in the hundredths place, the 4 in the tenths place would stay the same! Ignore the 3.
Your answer:16.4
I hope this helps!

16.4 is 16.403 rounded to the nearest tenth because tenths are the number right after the decimal point and if the number right after it is 5 or above you round the place above up. If the tenths are below 5 you round down.

X ^-4 + x ^ 3 - 4x ^ 2 = 2x - 4

Answers

Answer:

Ok, If you are trying to solve for x then your answer in fraction form is x=4/11. If you want it in decimal form the answer is 0.36(Repeats forever). And these answers are also implying that when you typed a  "^" it meant multiplcation

Step-by-step explanation:

I have used an Online Algebra Calculator to help guide me to my answer and this answer is 100% correct so,

PLEASE MARK BRAINLIEST

The quotient of x and 4

Answers

Answer:

x/4  

x divided by 4

A kid's pool had a small opening though which water leaked out sometimes. Water was poured into the pool from time to time. The graph below shows the amount of water in the pool (y), in gallons, at a certain time (x), in hours:Graph of first line going through ordered pairs 0, 40 and 2, 10. Graph of second line going through ordered pairs 2, 10 and 4, 10. Graph of third line going through ordered pairs 4, 10 and 7, 50.
Which of the following statements best describes the amount of water in the pool?
It is increasing during the time interval 4 < x < 7 hours.
It is increasing during the time interval 10 < x < 50 hours.
It is decreasing during the time interval 4 < x < 7 hours.
It is decreasing during the time interval 10 < x < 50 hours.

Answers

the correct answer would be A. It is increasing during the time interval 4 < x < 7 hours.

this is because when you look at the graph, the line starts to increase at 4 on the x line and stops at 7. It  (if the line goes up this mean it is increasing, if the line was going down it would be decreasing)

Which of the following fractions would become a repeating decimal?a.1/8
b.3/4
c.27/36
d.7/9
e.5/8

Answers

Because we work in a base 10 number system, any denominator that can be expressed as a multiple of 2s 5s and 10s will not be infinite and therefore not repeating.  1/8 is 1/(2*2*2) which is .125.  3/4 is 3/(2*2) which is .75.  27/36 is a tricky one because it's not in simplest form.  You can divide the top and bottom by 9 to get 3/4 which we already know is .75.  5/8 is 5/(2*2*2) which is .625.  That leaves 7/9.  9 cannot be expressed as a multiple of 2s and 5s ad tens so it must be that one.  7/9 is .777777 repeating.
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