Answer:
30 and -30 and if that doesn’t work then maybe try -30 first and 30 next
10000 digits can be used for 4 digit A.T.M code.
<u>Solution:</u>
Given that A.T.M required 4 digit codes using the digits 0 to 9.
Need to determine how many four digit code can be used.
We are assuming that number starting with 0 are also valid ATM codes that means 0789 , 0089 , 0006 and 0000 are also valid A.T.M codes.
Now we have four places to be filled by 0 to 9 that is 10 numbers
Also need to keep in mind that repetition is allowed in this case means if 9 is selected at thousands place than also it is available for hundreds, ones or tens place .
First digit can be selected in 10 ways that is from 0 to 9.
After selecting first digit, second digit can be selected in 10 ways that is 0 to 9 and same holds true for third and fourth digit.
So number of ways in which four digit number is created = 10 x 10 x 10 x 10 = 10000 ways
Hence 10000 digits can be used for 4 digit A.T.M code.
Answer:
see below
Step-by-step explanation:
We assume you want the graph of ...
A graphing calculator or spreadsheet is useful for this.
__
You know cos(θ) = cos(-θ), so the graph is symmetrical about the x-axis. You can evaluate the function at a few points to find the general outline.
r at 0° = 8
r at 30° ≈ 7.05
r at 45° ≈ 6.19
r at 60° ≈ 5.33
r at 90° = 4
r at 120° = 3.2
r at 135° ≈ 2.96
r at 150° ≈ 2.79
r at 180° ≈ 2.67
Answer:
h(t) = -5t + 500
Step-by-step explanation:
At time zero, the elevator is at 500 ft.
At time 5 seconds, the elevator is at 475 ft.
The difference in height is -25 ft.
The elevator traveled -25 ft (25 ft down) in 5 seconds, so it travels at a speed of 5 ft per second. Since it is traveling down, its speed is -5 ft/sec.
For each second of travel, it loses 5 ft of height.
h(t) = -5t + 500
1) Factor out the coefficient 2: 2x^2+12x=4 => 2(x^2 + 6x) = 4
2) Complete the square of x^2 + 6x: x^2 + 6x + 9 - 9. Then:
2(x^2 + 6x + 9 - 9) = 4
3) Rewrite the square as the square of a binomial:
2( [x+3]^2 - 9) = 4, or
2([x+3]^2) = 22, or
2( [x+3]^2 ) - 22 = 0
The value of q is -22.
