Answer:
0.448 seconds
Step-by-step explanation:
d = -16t² -4t + 412
find t when d = 407
substituting d = 407 into the equation:
407 = -16t² -4t + 412 (subtract 407 from both sides)
-16t² -4t + 412 - 407 = 0
-16t² -4t + 5 = 0 (multiply both sides by -1)
16t² + 4t - 5 = 0
solving using your method of choice (i.e completing the square or using the quadratic equation), you will end up with
t = (-1/8) (1 + √21)= -0.70 seconds (not possible because time cannot be negative)
or
t = (-1/8) (1 -√21) = 0.448 seconds (answer)
If the center is at (0, 0) and the vertex is at (20, 0), then the distance, a, is the length from the center to the vertex, 20. The distance from the center to the focus is c. The distance from the center to the focus is 16, so c = 16. The formula we use to find the focus is
. We have our c value and our a value, so we will sub in those to find b.
and 256 = 400 - b^2. -b^2 = -144, so b = 12. There you go!
Answer:
75 students
Step-by-step explanation:
first write a ratio of the students asked to students dislike
40:30, 40 to 30, or 40/30
now simplify the ratio
4/3
now she asked 40 students, so we have to find out the unit rate
so we have to flip the fraction to 3/4 and then divided the top and bottom by 4
0.75/1
now multiply the top and bottom by 100
75/100
75 students
Answer:
<h3>$1850</h3>
Step-by-step explanation:
<h3>If the Original price was $ X , Then </h3>
<h3>So , X = 1850 dollars .</h3>
<h2>Hope this helps you !!! </h2>
