Answer:
323
Step-by-step explanation:
362-46=316+7=<u><em>323</em></u>
Answer:
g(f(x)) = 
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Let g(x) = 
and f(x) = 2x +5
g(f(x)) = g( 2x +5)
= 
=
g(f(x)) =
Answer:
infinitely many solutions
Step-by-step explanation:
I assume that you meant
3x = -12y + 15 and x + 4y =5 (you accidentally omitted the 'y')
Multiplying the second equation by 3 yields
3x + 12y = 15
... which is identical to the first equation. Thus, the two lines coincide, and we conclude that there are infinitely many solutions.
Answer:
102 ≤ heart rate ≤ 183.6
Step-by-step explanation:
... lower limit ≤ heart rate ≤ upper limit
Put 16 where "a" is and do the arithmetic.
... lower limit = 0.5(220 -16) = 102
... upper limit = 0.9(220 -16) = 183.6
Then the inequality is ...
... 102 ≤ heart rate ≤ 183.6
_____
<em>Comment on the problem</em>
There is nothing to "solve" here. One only needs to evaluate the limits.
Answer:
1.72
Step-by-step explanation:
AB tangent at D, AD = OD = 4
so triangle OAD is right angle with side of 4 and 4.
area of OAD = 1/2 * 4 * 4 = 8
Angle AOD = DAO = 45 deg.
so circular sector OCD area = area of circle O * 45/360
= pi * 4 * 4 * 45/360
= 2pi
Shade area ACD = trigangle OAD - circular sector OCD
= 8 - 2pi
= 1.72
