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Ira Lisetskai [31]
3 years ago
6

How is exponential growth and decay used in everyday life?

Mathematics
1 answer:
maria [59]3 years ago
5 0
Exponential growth<span> functions are often </span>used<span> to model population </span><span>growth or decrease and knowing the amount of people on earth is important. </span>
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Eight members of a school marching band are auditioning for 3 drum major
Doss [256]

Answer:

Step-by-step explanation:

7 0
2 years ago
Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15
RUDIKE [14]

Answer:

The vertex of this parabola, (-2, 3), can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

g(x) = a\, (x - h)^2 + k,

where a, h, and k are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at (h,\, k).

The vertex form can be expanded to obtain:

\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}.

Compare that expression with the given equation of this parabola. The constant term, the coefficient for x, and the coefficient for x^2 should all match accordingly. That is:

\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right..

The first equation implies that a is equal to 3. Hence, replace the "a\!" in the second equation with 3\! to eliminate \! a:

(-2\times 3)\, h = 12.

h = -2.

Similarly, replace the "a" and the "h" in the third equation with 3 and (-2), respectively:

3 \times (-2)^2 + k = 15.

k = 3.

Therefore, g(x) = 3\, x^2 + 12\, x + 15 would be equivalent to g(x) = 3\, (x - (-2))^2 + 3. The vertex of this parabola would thus be:

\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}.

8 0
3 years ago
Find the surface area of the sphere.
fenix001 [56]

Answer:

804 in^2

Step-by-step explanation:

The surface area of a sphere is given by A = 4πr^2, where r is the radius of the sphere.

Here, A = 4π*8^2 in^2 (must use units of measurement)

              =256π in^2, or approximately 804 in^2

4 0
3 years ago
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2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work.
Dennis_Churaev [7]
We need a picture or dimensions

6 0
3 years ago
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What is the approximate area of a circle with a radius of 13cm? A.40.8cm² B.530.7cm² C.784cm² D.2461.8cm²
Gnesinka [82]
It would be B (530.7) because if you do 3.14 x 13 x 13 (Or to the second power) Then you get 530.66, the round to the nearest tenths 
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3 years ago
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