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2 years ago

11

10, 17, 24, ... Find the 36th term.

2 answers:

Dafna11 [192]2 years ago

7 0

Answer:

The answer is ...

Step-by-step explanation:

10, 17, 24, 31, 38, 45, 52, 59, 66, 73, 80, 87, 94, 101, 108, 115, 122, 129, 136, 143, 150, 157, 164, 171, 178, 185, 192, 199, 206, 213, 220, 227, 234, 241, 248, 255.

255 is the 36th term

Mark Brainliest!

timurjin [86]2 years ago

5 0

Answer:

255

Step-by-step explanation:

Starting value is 10

Increasing by +7 every time

The function would be 10+(X x 7)

Plug 35 in for x because 10 is the first term

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3 years ago

What is the inverse of the function g(x) = x^3/8 + 16 ?

lesya692 [45]

Answer:

$\hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\$

• let f(x) be m:

${ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\$

• make x the subject of the function:

${ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}$

• therefore:

${ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\$

6 0

3 years ago

A man walk for 2hr at 6km/h.he then cycled for a certain time at 16km/h.if he traveled 36km all together for how many hours did

Klio2033 [76]

Answer:

t = 1.5 hours

Step-by-step explanation:

Given that,

A man walk for 2hr at 6 km/h.

He then cycled for a certain time at 16 km/h.

He travelled 36 km all together.

We need to find for how many hours did he cycle.

Distance walked in 2 hours = 2×6 = 12 km

Distance he cycled = 36-12 = 24 km

Let he cycled for t hours. So,

$t=\dfrac{24}{16}\\\\t=1.5\ h$

So, he cycles for 1.5 hours.

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3 years ago

100m world record was completed at an average speed of 37.6 km/h. work out this speed in meters per second?

pickupchik [31]

Step-by-step explanation:

1 km = 1000 m

1 hour = 3600 s

so,

37.6 km = 37,600 m (still per hour or per 3600 s).

in 1 second now that is

37600/3600 = 10.44444444... m/s

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2 years ago

A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the p

andreyandreev [35.5K]

Answer:

B) 0.894

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

A local animal rescue organization receives an average of 0.55 rescue calls per hour.

This means that $\mu = 0.55$

Probability that during a randomly selected hour, the organization will receive fewer than two calls.

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577$

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$P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894$

5 0

4 years ago