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3 years ago

What are the first three terms of the sequence represented by the recursive formula

Mathematics

1 answer:

AnnyKZ [126]3 years ago

5 0

Explecit formula
hmm, seems to be a geometric sequence
so
an=a1+d(n-1)
d=common differnce
a1=first term

given
a1=firstterm=9.2

and the difference between each tierm is 1.8

an=9.1-1.8(n-1) is da equation

so 4th option

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311 students went on a field trip. Six buses were

kow [346]

Answer:

50.6

Step-by-step explanation:

it says 7 students traveled by car so you need to take 7 from 311, then divide your answer (304) by 6, which is 50.6

5 0

3 years ago

Read 2 more answers

A right triangle has side lengths 7, 24, and 25 as shown below.

Hoochie [10]

Answer: Tan B = 0.2917 (16.26 degrees)

Sin B = 0.2800 (16.26 degrees)

Cos B = 0.9600 (16.26 degrees)

Step-by-step explanation: Please refer to the picture attached for details.

The right angled triangle LNB has been drawn with the sides labeled as 7, 24 and 25 as indicated. With angle B as the reference angle, we can now identify each side as follows;

Side 7 (opposite, facing the reference angle)

Side 24 (adjacent, between the reference angle and the right angle)

Side 25 (hypotenuse, facing the right angle).

Hence, using the trigonometric ratios,

Tan B = opposite/adjacent

Tan B = 7/24

Tan B = 0.2917 (16.26 degrees)

Sin B = opposite/hypotenuse

Sin B = 7/25

Sin B = 0.2800 (16.26 degrees)

Cos B = adjacent/hypotenuse

Cos B = 24/25

Cos B = 0.9600 (16.26 degrees)

3 0

3 years ago

Josh volunteered at the zoo for 14 hours in one month. This was 3 1/2 times as many hours as Gina volunteered. How many hours di

jonny [76]

This one you can't really make a formula for or anything, but it's fairly simple to figure out, with a bit of guess and check.
14 is really close to 15, but that's bigger, so let's try a smaller number that would work.
It has to be divisible by 2, because you've got a whole number that is 3 1/2 times the other number. (1/2 of a whole number means it's divisible by 2).
10 is divisible by 2,
10 ÷ 2 = 5
But, 10 x 3 = 30 which is much bigger than 14.
So, we've got to start with a smaller number.
Let's try something really small, like 4. We could try 2, but 2 x 3 = 6, which, even with 1/2 of 2, isn't nearly close to 14.
Now, 4 x 3 = 12
That's quite close to 14.
And 1/2 of 4 is 2.
All we do now is add 12 to 2 and see if it works.
12 + 2 = 14
14 = 14
This one works.
That means that Gina volunteered for 4 hours, because 3 1/2 x 4 = 14.

5 0

3 years ago

Read 2 more answers

A contractor decides that he can build a barn in nine weeks using four men. If he employs two more men, how long will the job ta

alina1380 [7]

Answer: 6weeks

Step-by-step explanation:

If it takes 4 men, 9 weeks to build a barn.

It will take a man; 4 x 9weeks =36 weeks to make a barn

If it takes a man 36weeks to make a barn, it will take 4men + 2 men i.e 6men = 36/6

6 weeks to make a barn

8 0

2 years ago

What is 16.83231 rounded to the nearest hundredths place?

posledela

In the number 16.83231, the bolded number is in the hundredths place.

Look to the number to the right of it (the thousands place value).

it is a 2, which is less than 5. Because of this, round down.

16.83 is your answer

hope this helps

4 0

3 years ago