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

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:

- Multiples of a number 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

- Factors of a number 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

- Lowest common multiple of the set of numbers (LCM) 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

- Greatest common factor of the set of numbers (GCF) 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). Yes

There would be a closed circle at (2, 3). Yes

There would be an open circle at (4, 3). Yes

There would be a closed circle at (4, −4). Yes

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

7 0

2 years ago