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Oksanka [162]
3 years ago
11

Simplify the expression: 10+-2f^2+-6+7+-2f^2+-9f

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0
10+-2f^2+-6+7+-2f^2+-9f = 10-2f^2 -6+7-2f^2 -9f \\\\= -2f^2 -2f^2 -9f+10-6+7= \boxed  {-4f^2 -9f +11}
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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a
Art [367]

Answer:

The answer is "\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}"

Step-by-step explanation:

Given value:

Temp-maximum=18^{\circ}  

Temp. minimum = 3^{\circ}

It is halfway between 10 am and 10 pm to 4 am.  

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:  

T = A \cos B(t-C) + D, where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\

                       = \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5

B = \frac{2 \pi}{24}\\\\

   = \frac{\pi}{12}

C = \text{ units translated to the right}= 4

D = y_{min} + amplitude = units \ translated \ up\\\\

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5

6 0
3 years ago
Function not a function ?
luda_lava [24]

Answer:

not a function

Step-by-step explanation:

3 0
3 years ago
I will mark as brainliest. Area of a square is 25^m. Find its Perimeter. With working please
77julia77 [94]

Answer:

perimeter = 20 m

Step-by-step explanation:

given the area of the square = 25 m² and

area of a square = s² ( where s is the side length ), then

s² = 25 ( take the square root of both sides )

s = \sqrt{25} = 5 ← length of side

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3 years ago
Please help with part b
timofeeve [1]

Answer:

161391

Step-by-step explanation:

138000 x 16.95/100 = 23391

138000 + 23391 = 161391

5 0
3 years ago
What is the explicit formula for the sequence 10, 15, 22.5, 33.75, …?
Flura [38]

Answer:

Step-by-step explanation:

Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.

10x = 15 and

x = \frac{15}{10}=\frac{3}{2} If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:

15(\frac{3}{2})= \frac{45}{2}=22.5 Good. So the common ratio is 3/2. The formula for an explicit geometric formula is

A_n=a_1(r)^{n-1 where a1 is the first number in the sequence and r is the common ratio. Filling in:

A_n=10(\frac{3}{2})^{n-1

8 0
3 years ago
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