Mathematics, 05.09.2019 01:30 kaelep

Find the values of y = c(x) = for x = 0, 0.008, 0.027, 0.064, 0.125, 0.216, 0.343, 0.512, , 0.729, and 1.

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Answer from: bjdlesain

c(x) is a function, then we will solve the problem for two different functions.

1. If $c(x)=\frac{x}{0.5}+x$

Then

y=c(x)

$y=\frac{x}{0.5}+x$

Using each of the values for x we have.

When x=0 the result is: $y=\frac{0}{0.5}+0=0$

When x=0.008 the result is: $y=\frac{0.008}{0.5}+0.008=0.016+0.008=0.024$

When x=0.027 the result is: $y=\frac{0.027}{0.5}+0.027=0.054+0.027=0.081$

When x=0.064 the result is: $y=\frac{0.064}{0.5}+0.064=0.128+0.064=0.192$

When x=0.125 the result is: $y=\frac{0.125}{0.5}+0.125=0.25+0.125=0.375$

When x=0.216 the result is: $y=\frac{0.216}{0.5}+0.216=0.432+0.216=0.648$

When x=0.343 the result is: $y=\frac{0.343}{0.5}+0.343=0.686+0.343=1.029$

When x=0.512 the result is: $y=\frac{0.512}{0.5}+0.512=1.024+0.512=1.536$

When x=0.729 the result is: $y=\frac{0.729}{0.5}+0.729=1.458+0.729=2.187$

When x=1 the result is: $y=\frac{1}{0.5}+1=2+1=3$

2. If c(x)=sin(x)+2x

Then

y=c(x)

y=sin(x)+2x

Using each of the values for x we have.

When x=0 the result is: y=sin(0)+2(0)=0

When x=0.008 the result is: y=sin(0.008)+2(0.008)=0.000139+0.016=0.016139

When x=0.027 the result is: y=sin(0.027)+2(0.027)=0.000471+0.054=0.054471

When x=0.064 the result is: y=sin(0.064)+2(0.064)=0.001117+0.128=0.129117

When x=0.125 the result is: y=sin(0.125)+2(0.125)=0.002182+0.25=0.252182

When x=0.216 the result is: y=sin(0.216)+2(0.216)=0.003769+0.432=0.435769

When x=0.343 the result is: y=sin(0.343)+2(0.343)=0.005986+0.686=0.691986

When x=0.512 the result is: y=sin(0.512)+2(0.512)=0.008936+1.024=1.032936

When x=0.729 the result is: y=sin(0.729)+2(0.729)=0.012723+1.458=1.470723

When x=1 the result is: y=sin(1)+2(1)=0.017452+2=2.017452

Answer from: Quest

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation:

Answer from: Quest

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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