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vitfil [10]
3 years ago
9

Plz help me do em all ill mark u brainliest and give u 5 stars

Mathematics
1 answer:
zlopas [31]3 years ago
6 0
Answer for #9 : 24,720
Answer for #10 : 145
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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
What percent is 40% of 120% of x?
kiruha [24]

Answer:

Step-by-step explanation:

.

8 0
3 years ago
Read 2 more answers
How do you distinguish between multiples and factors of a number, and justify your evaluation of the LCM & GCF of a set of n
Reil [10]

Answer:

Look to the explanation

Step-by-step explanation:

- <u><em>Multiples of a number</em></u> are the numbers after multiplying the number

  by an integer

- Ex: The multiples of 2 are 2 , 4 , 6 , 8 , .......... because 2 × 1 = 2 ,

  2 × 4 = 4 , 2 × 3 = 6 and 2 × 4 = 8

- <u><em>Factors of a number</em></u> are the number multiplied together to get the

  number

- Ex: The factors of 6 are 1 , 2 , 3 , 6 because 1 × 6 = 6 and 2 × 3 = 6

- <u><em>Lowest common multiple of the set of numbers (LCM)</em></u> is the

  smallest number divisible by these numbers

- Ex: The lowest common multiple of 2 and 3 is 6 because 6 is divisible

  by 2 and 3 and there is no number before it divisible by both

- <u><em>Greatest common factor of the set of numbers (GCF)</em></u> is the highest

  common factor of these numbers

- Ex: The greatest common factor of 12 and 18 is 6 because

→ The factors of 12 are 1 , 2 , 3, 4, 6, 12

→ The factors of 18 are 1 , 2 , 3 , 6 , 9 , 18

→ The greatest common factor on both numbers is 6

3 0
3 years ago
Please help me on these questions and explain it thanks
BlackZzzverrR [31]
For problem 2:

The answer would be B) Car A travels more miles per gallon of fuel than Car B.

This is because Car B is shown on the graph to travel the same number of miles as Car A using 16 gallons of fuel, while Car A uses only 4 gallons. Thus, Car A travels further with less fuel.

For problem 3:

Let's write out the equation and try to solve.
5x + 1 = 3x + 7

First, subtract 3x from both sides.
5x - 3x + 1 = 3x - 3x + 7
2x + 1 = 7
Now, subtract one from both sides.

2x + 1 - 1 = 7 - 1
2x = 6

Finally, divide both sides by 2.
2x/2 = 6/2

x = 3

You should only get B) One solution

Hope that helped!
8 0
3 years ago
Sample Response: You would graph the equation f(x) = –x + 3 for input values less than 2. There would be an open circle at the p
fgiga [73]

Answer:

Step-by-step explanation:

What did you include in your response? Check all that apply.

There would be an open circle at (2, 1).  <u>Yes</u>

There would be a closed circle at (2, 3).  <u>Yes</u>

There would be an open circle at (4, 3).  <u>Yes</u>

There would be a closed circle at (4, −4).  <u>Yes</u>

Endpoints that are not included in the domain of a particular piece of a function are represented by an open circle.  <u>Yes</u>

7 0
2 years ago
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