Answer:
In order from left to right:
Minimum, Q1, Median, Q3, Maximum
Answer:
False
Step-by-step explanation:
2cos^2(4x) - 1 = cos(8x)
cos(8 *pi/12) = cos(2pi/3) = cos(pi - pi/3) = - cos(pi/3)= 1/2, which is not 0
cos(8x) = 0
==> 8x = 0 or pi
==> x = 0 or pi/8
Answer:
at matilda's new job, she will make a rounded salary of $69,000 per year.
Step-by-step explanation:
when solving a problem like this, you have to take her current salary ($64,000 per year) and multiply it to the salary increase percentage by first turning the percentage into a decimal. to turn the percentage into a decimal, you imagine a tiny dot to the right of the 8 like this:
8.
and then you have to move that little dot to the left two times recreating it into .08. you multiply .08 (the salary increase percentage) by her current salary ($64,000) and then also add that number to matilda's current salary to come up with the answer you can round. I'll give you an example of my proscess just so I can give a clear visual of my explanation.
step one:
$64,000
x .08
-------------
5,120
step 2:
$64,000
+$5,120
-------------
$69,120
step 3:
$69,120 is rounded up to the nearest thousands is approximately $69,000
answer: $69,000
Answer:
C. 1/10
Step-by-step explanation:
To find the value of a digit in a number, set all the other digits to zero.
The value of the 5 in 634,952 is 000,050 = 50.
The value of the 5 in 43,597 is 00,500 = 500.
We want to find the multiplier k such that ...
50 = k×500 . . . . . . . 50 is "k" times 500
Divide by 500 to see ...
50/500 = k = 1/10
The value of 5 in the first number is 1/10 times the value of 5 in the second number.
Nr of chocolates = c
nr of bags of 5 = a
nr of bags of 7 = b
50<c<70
c=5*a+2
c= 7*b-1 therefore b can be max 10 (if b=11 then c=76>70 can't do)
let's say b=10 then c=69 but in this case a=13.4 not integer (also can't do)
let's say b=9 then c=62 then a = 12 wich is ok
solution 1 c=62
let's also try for b=8 wich means c=55 and a=10.6, not integer, not ok again
and also for b=7 wich means c=48 but 48<50 so no go again and also for b<7 wich means c will grow smaller and smaller
so the only solution is c=62