Answer:
6-2/-5-0
Step-by-step explanation:
the formula to calculate the slope is
y2-y1/x2-x1
where :point1(x1,y1)
and point2(x2,y2)
Answer:
648
Step-by-step explanation:
Running this in Python, with the code as follows,
import math
cur_numbers = [0] * 3
num = 0
for i in range(100, 1000):
cur_numbers[2] = i % 10
i = math.floor(i/10)
cur_numbers[1] = i % 10
i = math.floor(i/10)
cur_numbers[0] = i % 10
if(len(set(cur_numbers)) == 3):
num += 1
print(cur_numbers)
print(num), we get 648 as our answer.
Another way to solve this is as follows:
There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have
9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648
Answer:
$52.03
Step-by-step explanation:
1. Approach
To solve this problem, first one needs to calculate the sales tax, then one must add that to the amount spent on the purchase. To calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.
2. Find the tax
As states above; to calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.
<u>a. convert percent to decimal</u>
8.4 / 100 = 0.084
<u>b. multiply the decimal by the amount spent</u>
48 * 0.084 = 4.032
The amount spent on sales tax is, $4.032
3. Find the total amount spent
Now all one has to do is add the amount spent in tax by the amount spent on the purchase.
48 + 4.032 = 52.032
Since money is only spent rounded to the second decimal point, one has to round the number;
52.03
Answer: x = 6.8
or x = 102/15
Step-by-step explanation:
30x=204
204/30
simplify!
Answer:
Step-by-step explanation:
3. slope of CB = rise/run = 5/12 BF = 5 CF = 12
BF ⊥ DF
DB (seg of two farthest points) = √BF²+DF² = √5²+32² = √1049 = 32.4
4. f(x) = 2x² - 5x -3 vertex : A (h,k) for f(x) = ax² + bx +c
h = - b/2a = - (-5 / 4) = 5/4
f = f(h) = 2*(5/4)² - 5*(5/4) - 3 =25/8 - 25/4 -3 = -49/8
A (5/4 , - 49/8) i.e. (1.25 , - 6.13)
negative root: 2x² - 5x -3 = (2x+1) (x- 3) x = - 1/2 y = 0
B (- 1/2 , 0)
x coordinate of AB: 1/2 (1.25 + -0.5) = 0.375
