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ella [17]
3 years ago
10

the time it takes to fly from los angeles to new york varies inversely as the speed of the plane. if the trip takes 6 hours at 9

00 km/h,how long would it take at 800 km/h
Mathematics
1 answer:
natima [27]3 years ago
7 0
Inverse variation means y=k/x  (direct variation is y=kx) so we can use the info given to find the constant k

y=k/x

6=k/900

k=6(900)

k=5400 so the equation is:

y=5400/x  or more accurately for this problem

t(v)=5400/v  then:

t(800)=5400/800

t(800)=6.75 hours
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Does anyone know how to do these maths question???
Dmitry_Shevchenko [17]

Answer:

Part 1) f(g(x))=3(x^2)+2

Part 2) g(f(5))=289

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

f(x)=3x+2

g(x)=x^{2}

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

so

f(g(x))=3(x^2)+2

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

so

g(f(x))=(3x+2)^2

For x=5

g(f(5))=(3(5)+2)^2

g(f(5))=289

3 0
2 years ago
I got this paper and it had different graphing calculator questions and on one it says check your answer and I don't know what t
dmitriy555 [2]

Answer:

The "check your answer" probably means check your answer by graphing.

Step-by-step explanation:

7 0
3 years ago
Write 16.3 as a mixed number
GarryVolchara [31]

Answer:

Step-by-step explanation:

The answer is 16 3/10

That's about as mixed as you can get it.

4 0
3 years ago
Read 2 more answers
What is 55%<br> of 1342?
Temka [501]

Answer:

738.1

Step-by-step explanation:

What is 55% of 1342?

738.1

Hope it helped brainiest plz and thank you!!!!!!!

8 0
2 years ago
Read 2 more answers
In a sample of 400 voters, 360 indicated they favor the incumbent governor. The 95% confidence interval of voters not favoring t
sveticcg [70]

The 95% confidence interval of voters not favoring the incumbent is (0.0706, 0.1294).

Sample size, n=400

Sample proportion, p = 40 / 400

= 0.1

We use normal approximation, for this, we check that both np and n(1-p) >5.

Since n*p = 40 > 5 and n*(1-p) = 360 > 5, we can take binomial random variable as normally distributed, with mean = p = 0.1 and standard deviation  = root( p * (1-p) /n )

= 0.015

For constructing Confidence interval,

Margin of Error (ME) =  z x SD = 0.0294

95% confidence interval is given by Sample Mean +/- (Margin of Error)

0.1 +/- 0.0294 = (0.0706 , 0.1294)

Learn more about Margin of Error here brainly.com/question/15691460

#SPJ4

5 0
1 year ago
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