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SpyIntel [72]
2 years ago
5

Which exponential function is represented by the graph a f(x)=2(1/2)^x. B f(x)=1/2(2)^x

Mathematics
1 answer:
algol [13]2 years ago
7 0
Oh you gonna fail baby
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Find slope. <br>a. 4<br>b. -1/4<br>c. 1/4<br>d-4​
Ganezh [65]

Answer:

1/4

Step-by-step explanation:

3 0
3 years ago
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A family drove 1 /5 of the total distance to the coast on the first day. They drove another2/5 of the distance on the second day
ser-zykov [4K]
1/5+2/5=3/5 answer C
5 0
3 years ago
Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 4 units, b = 5 units, and c = 9
taurus [48]
From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.

Using pythagoras theorem,
\tan M= \frac{a}{b-x} \\ \\ M=\tan^{-1}\left(\frac{a}{b-x}\right)
and
\tan N= \frac{c}{x} \\ \\ N=\tan^{-1}\left(\frac{c}{x}\right)

Angle θ is given by
\theta=180-M-N \\  \\ =180-\tan^{-1}\left(\frac{a}{b-x}\right)-\tan^{-1}\left(\frac{c}{x}\right)

Given that a = 4 units, b = 5 units, and c = 9 units, thus
\theta=180-\tan^{-1}\left(\frac{4}{5-x}\right)-\tan^{-1}\left(\frac{9}{x}\right)

To maximixe angle θ, the differentiation of <span>θ with respect to x must be equal to zero.
i.e.
\frac{d\theta}{dx} = -\frac{4}{x^2-10x+41} + \frac{9}{x^2+81} =0 \\  \\ -4(x^2+81)+9(x^2-10x+41)=0 \\  \\ -4x^2-324+9x^2-90x+369=0 \\  \\ 5x^2-90x+45=0 \\  \\ x^2-18x+9=0 \\  \\ x=9\pm6 \sqrt{2}

Given that x is a point on line segment AB, this means that x is a positive number less than 5.

Thus
x=9-6 \sqrt{2}=0.5147

Therefore, The distance from A of point P, so that </span>angle θ is maximum is 0.51 to two decimal places.
6 0
3 years ago
Needs to be checked......
Eduardwww [97]
You answered correctly.

(a brainliest would be appreciated)
8 0
3 years ago
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The spoke of wheel reaches from the center of the wheel to its rim if the circumstance of the wheel is 48 inches, how long is ea
user100 [1]

Answer:

7.6 in

Step-by-step explanation:

c = 2πr       Divide each side by 2π

r = C/2π     Insert values

r = 48/(2×3.14)

r = 48/6.28

r = 7.6 in

6 0
3 years ago
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