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3 years ago

IF CORRECT I WILL GIVE BRAINLYIST

Mathematics

2 answers:

Diano4ka-milaya [45]3 years ago

8 0

Answer:

-3.75 but i would guess -3

Step-by-step explanation:

A = (-10 - 5) / (4 - 0) = -15 / 4 = -3.75

Katen [24]3 years ago

6 0

Answer:

$-\dfrac{5}{4}$

Step-by-step explanation:

average rate of change of function f(x) between x = a and x = b

$\dfrac{f(b) - f(a)}{b - a}$

Here, a = 0; f(a) = f(0) = -5; b = 4; f(b) = f(4) = -10

$\dfrac{f(b) - f(a)}{b - a}$

$= \dfrac{-10 - (-5)}{4 - 0}$

$= \dfrac{-5}{4}$

$= -\dfrac{5}{4}$

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3 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9

Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

$y=A\sin[\omega(x-\alpha)]+C$

where, A = amplitude; $\omega=\dfrac{2\pi}{period}$ , α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= $C=\dfrac{73+97}{2}=85$ [midline is average of upper and lower limit.]

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Period = 24 hours;

$\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}$

Substitute all values in sinusoidal function, we get

$y=12\sin[\dfrac{\pi}{12}(x-10)]+85$

Put y= 82, we get

$82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03$

Hence, After about 9.03 hours the temperature first reach 82 degrees.

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3 years ago