The period is 7 because period = 2pi/b for asin(b(x-h))+k, so period is 2pi/(2pi/7) = 7
Answer:
296 and 22
Step-by-step explanation:
111/6 = 18.5 according to the chart given, so
x/16 = 18.5.
Multiply both sides by 16 to isolate x.
x = 296
check work:
296/16 = 18.5
do the same to 407:
407/x = 18.5
Mulitply both sides by x.
407 = 18.5x
divide both sides by 18.5 to isolate x.
22 = x
check work:
407/22 = 18.5
Wonderful! You gave us everything we could ever possibly want
to know, except the QUESTION. Fortunately, here at Brainly, we
have five Hogwarts drop-outs who work weekends for us as our
Department of Clairvoyance. When people post an intriguing
question but leave out some important part of it, our D of C can
usually fill in the missing part for us ... especially on weekends.
The question you left out is:
What is the next time that a red bus and a blue bus
will both leave the stadium together, simultaneously
and also both at the same time ?
Since red buses leave every 6 minutes starting at 4:00, and
blue buses leave every 8 minutes starting at 4:00, they both
leave simultaneously and also at the same time at minutes
after 4:00 that are common multiples of 6 and 8.
The least common multiple of 6 and 8 is 24 . After that,
every multiple of 24 is another common multiple of 6 and 8.
24 minutes is 4 red buses and 3 blue buses ... exactly !
A red bus and a blue bus will leave the stadium together at 4:24 .
After that, it will happen again at 24-minute intervals ... at 4:48,
5:12, 5:36, 6:00, . . . etc.
Answer:
See the attached
Step-by-step explanation:
When in doubt, draw a diagram.
The orthocenter of this acute triangle will be within its bounds. That should tell you right away that the y-coordinate of it will not be 8, but must be between 2 and 6.
The line perpendicular to BC through A must have a y-intercept greater than the y-coordinate of A, so cannot be 5. Whatever it is, the y-coordinate of the orthocenter will be less, so again, your answer fails the reasonableness test.
The perpendicular line to BC through A is ...
... y = (-1/2)(x -2) +6 = -x/2 +7 . . . . . . looks like you had a sign error in (-1/2)(-2)
The intersection of that line and x=6 is ...
... y = -6/2 +7 = 4
Answer:
Part A: 299 + 45A + 30B + 50c
Part B: 569 (or 570 if you round it up)
Step-by-step explanation:
Part A:
Because there is no variable for the number of PlayStation 4s, let's assume that there is only one. That will be 299.
If A is the number of wireless controllers and each wireless controller is worth 45 dollars each, the price for the wireless controller(s) is 45A.
If B is the number of wireless controller charging stations and each wireless controller charging station cost 30 dollars, then the price of the wireless controller charging station(s) is 30B
If C is the number of games and each game cost 50 dollars, then the price of the game(s) is 50C
Put that all together, and we get 299 + 45A + 30B + 50c.
Part B:
Let's plug the numbers into the formula.
A = 2
B = 1
C = 3