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3 years ago

The nth term of a sequence is n^2 + 20.

Mathematics

1 answer:

Olegator [25]3 years ago

3 0

Answer:

$\large\boxed{a)\ 21,\ 24,\ 29}\\\boxed{b)\ \text{five terms}}$

Step-by-step explanation:

$a_n=n^2+20\\\\a)\\\\\text{Substitute}\ n=1,\ n=2\ \text{and}\ n=3\ \text{to the }\ a_n:\\\\a_1=1^2+20=1+20=21\\\\a_2=2^2+20=4+20=24\\\\a_3=3^2+20=9+20=29$

$b)\\\\\text{You have to solve the inequality:}\\\\n^2+20$

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Container A is cylinder with a radius of 10 units and a height of 10 units. A right cone has been carved from its base and has a

sergij07 [2.7K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

From the information given,

Height = 10 units

Radius = 10 units

Volume = π × 10² × 10

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Height = 10 units

Base = 10 units

Volume = 1/3 × π × 10² × 10

Since the cone has been carved from the cylinder, the statement that derives the formula to find the volume of container B is

π × 10² × 10 - 1/3 × π × 10² × 10

7 0

3 years ago

In the diagram below, FGHG, BD || EI and mZFGH = 54º. Find<br> mZACB.

Vedmedyk [2.9K]

Answer:

no idea

Step-by-step explanation:

no idea

5 0

3 years ago

What is 15267 times 16459 then divide by 7?

lesya [120]

Answer:

33297327

Step-by-step explanation:

(15267 * 15267) ÷ 7

= 15267 * 15267

= 233081289 ÷ 7

= 33297327

Hope this helps! :)

7 0

2 years ago

Help? pls?? I've got the first part, just need a lil help

OlgaM077 [116]

Find the time it will take:

195 miles / 50 miles per hour = 3.9 hours.

1 hour = 60 minutes:

0.9 hours x 60 = 54 minutes.

3.9 hours = 3 hours and 54 minutes.

Add 3 hours and 54 minutes to the time it leaves:

3:30 pm + 3 hours = 6:30 PM

6:30 + 54 minutes = 7:24 PM

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3 years ago

Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-s

notsponge [240]

Answer:

a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) 0 is the most likely value for X.

Step-by-step explanation:

For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$