Answer:
We can divide both sides by 20 and we got:
Now we can appply natural log on both sides and we got:
Now we can divide both sides of the equation by 10 and we got:
So then the aproximate value of k is 0.30986 and rounded would be 0.31
Step-by-step explanation:
We have the following two expression:
We know that the two populations were equal 10 years after the start of the study, so then we can create the following equation:
We can divide both sides by 20 and we got:
Now we can appply natural log on both sides and we got:
Now we can divide both sides of the equation by 10 and we got:
So then the aproximate value of k is 0.30986 and rounded would be 0.31
Answer:
see explanation
Step-by-step explanation:
A quadratic function in standard form is
y = ax² + bx + c (a ≠ 0 )
Given
y = - 3x² + 6x + 17 ← compare coefficients with standard form, then
a = - 3, b = 6, c = 17
Given the quadratic in standard form the the equation of the axis of symmetry is
x = - = - = 1
Equation of axis of symmetry is x = 1
v + 9 / 3 = 8
v + 9 = 24
v = 24 - 9
v = 15
If you have any questions on how I got to this solution, please ask. :)
(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:
180 - (70 + 70) = 180 - 140 = 40
40° is your answer.
m∠X = 40°
(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:
180/3 = 60
60° is your answer.
m∠V = 60°
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Answer:
hope it helps you
Step-by-step explanation:
https://mathsolver.microsoft.com/en/solve-problem/-4.2y%2B2.1%20%3E%20%20-2.52