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2 years ago

Can someone help me solve this?

Mathematics

1 answer:

Sladkaya [172]2 years ago

6 0

Step-by-step explanation:

yan po ang sagot ko dahil yan po ang pagkakaintindi ko

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Travka [436]

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Step-by-step explanation:

5 0

2 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.]

A= 97-85 = 12

Phase shift: $\alpha=10$

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.

3 0

2 years ago

rancho middle school has an average of 23 3/8 students per teacher write this mixed number as a decimal

Reika [66]

let's firstly convert it to an improper fraction.

$\bf \stackrel{mixed}{23\frac{3}{8}}\implies \cfrac{23\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{187}{8}}\implies 187\div 8\implies \stackrel{decimal}{23.375}$

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3 years ago

What is the function graphed below? O y= x + 0.5 O y= 2 x + 0.5 O y=x O y=(0.5)

olga2289 [7]

Answer:

A. y= x + 0.5

Step-by-step explanation:

We see that:

y- intercept is b = 0.5, point (0, 0.5)
Rate of change is m = 1 as each next value of y is greater by 1.

The function is:

y = mx + b
y = x + 0.5

Correct choice is A

5 0

2 years ago

George has 28 tomato seedlings. He wants to put them into 7 equal groups to sell. Which number sentence could be used to find th

777dan777 [17]

Answer:

Step-by-step explanation:

7+7+7+7 or 28/7 =4

4 0

2 years ago