Answer:
x^7y^8z^7 may be it is answer cause i think yhiai is basic of indices. U just have to add with it's common variable's powrt.
Answer:
<h2>∠HFG = 115°</h2>
Step-by-step explanation:
∠JFG + ∠HJF = 180° <em>[Adjacent angles of parallelogram are supplementary] </em>
<em>∠</em>JFG = 65°
=> 65° + ∠HJF = 180°
=> ∠HFG = 180° - 65°
=> ∠HFG = 115°
Y = 3x + 4
y = -x - 4
3x + 4 = -x - 4
3x + x = -4 - 4
4x = -8
x = -8/4
x = -2
y = 3x + 4
y = 3(-2) + 4
y = -6 + 4
y = -2
solution is (-2,-2) <==
Answer:
Height of the cliff = 13.66 m
Step-by-step explanation:
Let the height of the cliff is 'x' m and distance between the base of the cliff and the boat is 'y' m.
From right triangle AOC,
tan 30° = 
y = 
------(1)
From right angle triangle BOC,
tan 45° = 
x = y - 10
y = x + 10 -------(2)
From equations (1) and (2),
x = 13.66 m
Therefore, height of the cliff is 13.66 m.
Answer:
Step-by-step explanation:
The average scores s (on a 100 point scale) for the students can be modeled by
s = 75 - 6 In(t + 1), 0 < t < 12
where t is the time in months.
a) Since the students were given an exam and then retested monthly with equivalent exams, then,
For the original exam, t = 0
Therefore,
s = 75 - 6 In(0 + 1) = 75 - 6 In1
s = 75 - 6 × 0 = 75
b) the average score after 4 months, t = 4
Therefore,
s = 75 - 6 In(4 + 1) = 75 - 6 In5
s = 75 - 9.66 = 65.34
c) s = 60
Therefore,
60 = 75 - 6 In(t + 1)
6 In(t + 1) = 75 - 60 = 15
In(t + 1) = 15/6 = 2.5
t + 1 = e^2.5 = 12.18
t = 12.18 - 1 = 11.18
t = 11 approximately
