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:
1080
Step-by-step explanation:
PEMDAS says multiply and divide from left to right
9*5*6*3÷3*4*6÷6
45*6*3÷3*4*6÷6
270*3÷3*4*6÷6
810÷3*4*6÷6
270*4*6÷6
1080*6÷6
6480÷6
1080
Answer:
The equation of the line is y - 3 = 2.5(x - 2) ⇒ D
Step-by-step explanation:
The rule of the slope of a line is m = 
, where
- (x1, y1) and (x2, y2) are two points on the line
The point-slope form of a line is y - y1 = m(x - x1), where
- (x1, y1) is a point on the line
From the given figure
∵ The line passes through points (2, 3) and (0, -2)
∴ x1 = 2 and y1 = 3
∴ x2 = 0 and y2 = -2
→ Substitute them in the rule of the slope to find it
∵ m = 
∴ m = 2.5
→ Substitute the values of m, x1, y1 in the form of the equation above
∵ m = 2.5, x1 = 2, y1 = 3
∵ y - 3 = 2.5(x - 2)
∴ The equation of the line is y - 3 = 2.5(x - 2)
Answer:
Given : PS = QR
∠PRS = ∠RPQ
PR = PR (On the same base)
Proof / Reason :
∠PRS = ∠RPQ (R)
PS = QR (H)
PR = PR (S)
Therefore, Triangle PRS is congruent to Triangle RPQ
∠PSR = ∠RQP By C.P.C.T. ( Congruent Parts Of Congruent Triangles)
Thanks!
(3x^2-2x+4)+(5x^2+6x-8) - Combine like terms
8x^2+4x-4
(f+g)(x)=8x^2+4x-4
