Answer: -8 and 9
Explanation: -8 x 9 = -72 and -8 + 9 = 1
The number of bacteria present after 15 hours is 18928
<h3>How to determine the
exponential equation?</h3>
An exponential equation is represented as;
y = ab^x
Where
a = y, when x = 0
From the table, we have:
y = 1796 when x = 0
So, we have:
y = 1796b^x
Also, we have the point (1, 2097)
This gives
2097 = 1796b^1
Divide by 1796
b = 1.17
Substitute b = 1.17 in y = 1796b^x
y = 1796(1.17)^x
This means that the exponential equation is y = 1796(1.17)^x
After 15 hours, we have:
y = 1796(1.17)^15
Evaluate
y = 18928
Hence, the number of bacteria present after 15 hours is 18928
Read more about exponential equation at:
brainly.com/question/23729449
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Answer:
54
Step-by-step explanation:
To solve problems like this, always recall the "Two-Tangent theorem", which states that two tangents of a circle are congruent if they meet at an external point outside the circle.
The perimeter of the given triangle = IK + KM + MI
IK = IJ + JK = 13
KM = KL + LM = ?
MI = MN + NI ?
Let's find the length of each tangents.
NI = IJ = 5 (tangents from external point I)
JK = IK - IJ = 13 - 5 = 8
JK = KL = 8 (Tangents from external point K)
LM = MN = 14 (Tangents from external point M)
Thus,
IK = IJ + JK = 5 + 8 = 13
KM = KL + LM = 8 + 14 = 22
MI = MN + NI = 14 + 5 = 19
Perimeter = IK + KM + MI = 13 + 22 + 19 = 54
Answer:
p equals 33 which is the answer to the problem
∠A, ∠B, ∠C - interior angles of a triangle.
∠A 1 , ∠B 1 , ∠C 1 - exterior angles of a triangle.
∠A + ∠B + ∠C = 180°
∠A + ∠A 1 = 180°
Therefore: ∠A 1 = ∠B + ∠C ( two remote interior angles )
Answer:
An exterior angle of a triangle is equal to the sum of the two remote interior angles.
