Answer:
Proof below
Step-by-step explanation:
Exponential Grow Model
The equation to model some time dependant event as an exponential is
Where Ao is the initial value, k is a constant and t is the time. With the value of Ao and k, we can compute the value of A for any time
We are required to find the time when the population being modeled doubles from Ao to 2 Ao. We need to solve the equation
Simplifying by Ao
Taking logarithms in both sides
By properties of logarithms and since lne=1
Solving for t
Hence proven
1
mm
15 m
17 m
km
9 m
12 m
Answer:
489 km is the perimeter
Step-by-step explanation:
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Answer:
0=0
or as separate equations:
y=1/2
X=4y+2
Explanation:
If we solve your system by elimination:
x−4y=2;4x−16y=8 -->
Multiply the first equation by -4,and multiply the second equation by 1.
−4(x−4y=2)
1(4x−16y=8)
Becomes:
−4x+16y=−8
4x−16y=8
Add these equations to eliminate x:
0=0
OB. Rx) = (x + 1)2
OC. Rx) = -1(x - 1)
OD. Rx) = -1(x + 1)2
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Considering it's y-intercept and vertex, the equation of the parabola is given by:
The equation of a quadratic function, of vertex (h,k), is given by:
In which a is the leading coefficient.
In this problem, the vertex is (1,0), hence h = 1, k = 0 and:
The y-intercept is of 1, hence, when x = 0, y = 1, so:
Hence, the equation is:
More can be learned about the equation of a parabola at brainly.com/question/24737967
Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, 0) , thus
y = a(x - 1)² + 0
To find a substitute the coordinates of the y- intercept (0, 1) into the equation
1 = a(- 1)² = a , thus
a = 1
y = (x - 1)² → A
Answer:
B
Step-by-step explanation:
99% = 2.58
how to find ?
Divide your confidence level by 2: . 95/2 = 0.475. Step 2: Look up the value you calculated in Step 1 in the z-table and find the corresponding z-value. The z-value that has an area of .