Answer:
399 minutes a month
Step-by-step explanation:
As I understand the question the answer would, in other words, be how many minutes you can long-distance call with the economy plan for under $30.
The unit ratio is 5 cents per minute, which equates to 20 minutes worth of call time for one dollar (100/5).
The economy plan is $20 cheaper than the deluxe plan. $20 spent on long-distance calling gets you 400 mintues, but the question asks for an integer that would still leave remaining money.
Therefore the answer is 399 minutes of long-distance calling, which would leave five unspent cents.
Note that x is measured in radians.
The percent difference or error between sin(x) and tan(x) is calculated as

We want this percent difference to be less than 10.4%.
Because tan(x) > sin(x) for small values of x, define

From the calculator, obtain
sec⁻¹ 1.104 = 0.4375
Answer: x = 0.4375 radians
Answer:
w =< 70
(width is less or equal to 70 inches)
Step-by-step explanation:
Let l = length, w = width, h = height
Restrictions given in this question:
'sum of perimeter of the base and the height cannot exceed 130 inches'
perimeter of the base is 2 width and 2 length of the box
perimeter = 2w + 2l
Therefore, inequality involves here is
2w + 2l + h =< 130
(Note that =< here means less or equal)
Then a new condition given with
height, h = 60 in
and length is 2.5 times the width
l = 2.5w
Substitute this new condition into the equation will give us the following:
2w + 2(2.5w) + 60 =< 130
2w + 5w + 60 =< 130
7w + 60 =< 130
7w =< 130-60
7w =< 70
w =< 10
The <span>tree diagram associated with the experiment of selecting two batteries from among four, the defective answer is <span>third one.
</span>Attached with answer is the tree diagram that shows the batteries.
</span>As shown in the image, ofall twelve
possible outcomes, we can see that event N1 contains 9 of these outcomes, and N1N2
contains 6. Thus, because the 12 outcomes are equally likely to be 2/3