Answer:
The Domain interval notation is -2 < t < 98
Step-by-step explanation:
The given parameters are;
The time at which the plant began spouting = 2 days before Amy bought it
The number of days the plant was with Amy = 98 days
The maximum height reached by the plant = 30 centimetres
Given that the height of the plant is represented by the function h(t), where h is in centimetres and t is the number of days from the time she bought the plant
Therefore, we have;
At t = -2, h = 0
At t = 98, h = 30
The slope of the function is therefore;
m = (30 - 0)/(98 - (-2)) = 0.3 cm/day
The equation of the function is therefore;
h - 30 = 0.3 × (t - 98)
h = 0.3·t -29.4 + 30 = 0.3·t + 0.6
h(t) = 0.3·t + 0.6
At h(t) = 0, t = -2
At h(t) = 30, t = 98
The interval notation of the domain is therefore, -2 < t < 98.
Answer:
Perimeter of trapezoid = 6x - 1
Step-by-step explanation:
a trapezoid has two bases (x and 2x) and two sides ( x+2 and 2x-3)
To find the perimeter you add all both bases and both sides
Perimeter of trapezoid = x + 2x + (x+2) + (2x-3); add x's
Perimeter of trapezoid = 6x + 2 -3 ; subtract the numbers
Perimeter of trapezoid = 6x - 1
Answer:
4 : 11
Step-by-step explanation:
Given that:
Fraction of language students = 2/3
Number of students who study French :
2/5 of 2/3
2/5 * 2/3 = 4 /15
Those who do not study French :
Total fraction of entire student :
1 - 4/ 15
(15 - 4) / 15
11/15
Ratio of French to non-french
4/15 : 11/15
4/15 ÷ 11/15
4/15 * 15/ 11
4 / 11
4 : 11
Answer:
Part 1:
Angle DCB is a right angle.
So, angle DCA + angle ACB = 90
Angle ACB = 90 - angle DCA = 90-50=40
Answer is option C. 40
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Part 2:
Angle DCB is a right angle.
So, angle DCA + angle ACB = 90
Angle ACB = 90 - angle DCA = 90-60=30
Answer is option B. 30