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blsea [12.9K]
3 years ago
10

Solve: 4 - 10x >-21 and aranh the

Mathematics
1 answer:
Luden [163]3 years ago
8 0

Answer:

x < \frac{5}{2}

Step-by-step explanation:

4 - 10x > -21

-10x > -25\\\\x > \frac{-25}{-10} \\\\x > \frac{5}{2}

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A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so
mamaluj [8]

Answer:

1) Is the pattern an arithmetic sequence?​

Yes it is

2)Identify a and d.​

a = First term = 2

d = Common difference = 2

3) Write the 50th term of the sequence.​

50th term = 100

4) Find the total number of logs in the first 10 rows.​

= 1010 logs

Step-by-step explanation:

Is the pattern an arithmetic sequence?​

Yes it is

2) Identify a and d.​

A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on,

The formula for arithmetic sequence =

an = a+ (n - 1)d

a = First term

d = Common difference

For the above question:

a = 2

d = Second term - First term

= 4 - 2

d = 2

3) Write the 50th term of the sequence.​

Using the formula for arithmetic sequence

an = a+ (n - 1)d

a = 2

n = 50

d = 2

a50 = 2 + (50 - 1)2

= 2 + (49)2

= 2 + 98

= 100

The 50th term = 100

4)Find the total number of logs in the first 10 rows.​

Sum of first n terms = n/2(a + l)

n = 10

a = first term = 2

We are told that there are 200 logs in the bottom row, hence:

l = last term = 200 logs

Hence,

Sn = 10/2×[ (2 + 200

= 5(202)

= 1010 logs

7 0
3 years ago
Simplify the expression. Write the answer using scientific notation. (5 x 102)−2
marissa [1.9K]
102 multiply 5 is equally to 610 so that's gonna be 6.10 I think
7 0
3 years ago
Read 2 more answers
(5-2 to the power of 2) multiplied by (5-2 to the power of 2)
mezya [45]

Answer:

I think that 1 is the answer, thats what came out on my calculator.

Step-by-step explanation:

6 0
3 years ago
Plz help I’ll mark you
algol [13]

Answer:

option (B) is the answer

4 0
3 years ago
you are swimming each a 25-yard lap pool 3 seconds faster than your personal best what integer represents your change in time of
True [87]
24 seconds faster than your best
7 0
3 years ago
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