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Aliun [14]
3 years ago
15

Mikey bought 4 of the 500 raffle tickets sold to

Mathematics
1 answer:
Zina [86]3 years ago
6 0

Answer:

4/500

Step-by-step explanation:

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Here are the first four terms of a sequence.
Nataly_w [17]

Answer:

  • aₙ = 2n² + n + 1

Step-by-step explanation:

We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.

<u>We can compare this with simple quadratic sequence </u>

  • 1, 4, 9, 16

<u>and find out that doubling each term gives us </u>

  • 2, 8, 18, 32

This is close to our sequence, write the terms as follows to find exact rule

<u>The first term: </u>

  • a₁ = 4  = 2*1² + 2 = 2*1² + 1 + 1

<u>The second term</u>

  • a₂ = 11  = 2*2² + 3 = 2*2² + 2 + 1

<u>The third term:</u>

  • a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1

<u>The fourth term:</u>

  • a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1

<u>The nth term as per observation above is:</u>

  • aₙ = 2n² + n + 1
8 0
3 years ago
The equation y 16t 2 18t 405 describes the height in feet of a ball thrown downward at 18 feet per second from a height of 405 f
kumpel [21]

Answer:

Ball hits the ground after 4.5 sec

Step-by-step explanation:

Let a -1, so that the leading coefficient is positive

So our quadratic is

-1 \times (16t^2 +18t -405)

The key coefficients of two binomial variables can be 1 and 16, or 2 and 8, or 4 and 4, for the leading coefficient of 16.

Yet they can't actually be 4 and 4 because the linear (x) term coefficient has to be a multiple of 4, which it isn't and leading coefficients 1 and 16 on the binomial factors is not likely.

So, 2 and 8 taken as the leading coefficients of  two binomial factors.

For constant  405, possible factorizations are (81\times 5, 27 \times 15, 9 \times 45).

(16t^2 +18t -405) = (8t + 45) (2t - 9)

Taking first factor, thus we find  negative value for given time t. But  second time equivalent to zero gives the value of 4.5 for t

Thus ball hits the ground after 4.5 sec

.

3 0
3 years ago
Please help me with this, idk what to do
s344n2d4d5 [400]

Answer:

B. 250 pages

Step-by-step explanation:

3 0
3 years ago
Can someone help me fill this out....​
Jlenok [28]

Answer:

Step-by-step explanation:

First Line:

0, 1//7, 2/7, 3/7, 4/7, 5/7, 6/7, 1, 8/7, 9/7, 10/7

Second Line:

-1/3, 0, 1/3, 1/2, 1, 4/3

Third Line:

0, 1/3, 2/3, 1, 4/3, 5/3, 2

3 0
3 years ago
..........................
QveST [7]

Answer:

x = 0.954

Step-by-step explanation:

We apply pythagorean to find x

(4-x)² = 1.2² + 2.8²

(4-x)² = 9.28

✓(4-x)² = ✓(9.28)²

4 - x = 3.046

- x = 3.046 - 4

- x = -0.954

x = 0.954

(Please heart and rate if you find it helpful, it's a motivation for me to help more people)

7 0
3 years ago
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