MATHEMATICS HIGH SCHOOL

Suppose that w and t vary inversely and that t = 5/12 when w= 4. Write a function that models the inverse
variation and find t when w = 5.
A. T=5/12w; 5/12
B.t=5/3w;1/3
C.t=5/48w;5/192
D.t=5/12w;1/3

Answers

Answer 1
Answer:

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that wvaries Inversely with t thus generally speaking w∝(1)/(t)  since they are inverted, otherwise if they were proportionally varied then w∝t. This means that there is a constant value ( a ) for which w is inversely proportional to t and can be mathematically expressed as:

w=(a)/(t)        Eqn. (1)

Now since we are given the values of w=4 and t=(5)/(12), we can plug them in Eqn. (1) and find our constant of proportionality a as follow:

w=(a)/(t)\n \na=wt\n\na=(4)((5)/(12) )\n\na=(5)/(3)

Now that we have our constant we can find the new t value for the second value of w=5 as follow:

w=(a)/(t) \n\nt=(a)/(w)\n \nt=((5)/(3) )/(5)\n\nt=(5)/(15)\n \nt=(1)/(3)\n

Therefore based on the options give, we can see that Option B. is correct since

t=(5)/(3w) and for w=5, then t=(1)/(3)

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Explain It Adam made 19 paper cranes Monday and 8 more Tuesday. He gave 9 friends an equal number of cranes. How many cranes did each friend received? Explain how you found your answer.

Answers

Answer: Each friend received 3 paper cranes.

Step-by-step explanation:

Given : Number of paper cranes made by Adam on Monday = 19

Number of paper cranes made by Adam on Tuesday = 8

Total number of paper cranes made by Adam = (Number of paper cranes made on Monday) + (Number of paper cranes made on Tuesday )

= 19+8

= 27

Now , all paper cranes are equally divided into 9 friends , the number of paper cranes received by each friend = (Total number of paper cranes ) ÷ (9)

= (27)÷ (9)

= 3

Hence, each friend received 3 paper cranes.
he made  19 paper cranes on Monday & 8 more on tuesday
total cranes made =    19 + 8  = 27
number of cranes he give to each of his 9 friends =      27/9  = 3 cranes

Help asap plz and thanks

Answers

Answer:

-49

Step-by-step explanation:

I checked with a calculator so it should be right

Answer:

-49

Step-by-step explanation:

my calculator confirmed it.

True or False: The value of r represents the reference angle when plotting a point in polar coordinates.

Answers

The answer to the statement above would be false. The value of r does not represent the reference angle when plotting a point in polar coordinates. Instead, it represents the polar distance instead of the angle. The reference angle is represented by t.

Answer:

False

Step-by-step explanation:

In cartesian coordinates, we represents a point as (x,y).

Whereas, in polar coordinates, we represent a point as(r,\theta)

Here,

r=√(x^2+y^2)\n\n\theta=\tan^(-1)((y)/(x))

The term r is the radial distance from origin and the angle Ф is the polar angle.

Therefore, the term r doesn't represent the reference angle when plotting a point in polar coordinates.

Hence, the given statement is false.

Order these numbers from least to greatest. 8.16 , 16320 , 829 , 8.139

Answers

8.139, 8.16, 829, 16320

Sabella's parents are starting a college fund for her today, on her fifth birthday. Assuming they make no additional deposits or withdrawals, if they want to give her 50,000 Brazilian Real on her eighteenth birthday, how much do they need to deposit now if the bank is offering an interest rate of 5.5%, compounded monthly? a) Approximately 21,206 Brazilian Real b) Approximately 24,527 Brazilian Real c) Approximately 28,818 Brazilian Real d) Approximately 32,122 Brazilian Real

Answers

Answer:

I don't know

Step-by-step explanation:

I don't know what is with-draw, interest rates

Imagine that 86,999 penniless people live in the town of Centerville. Bill Gates, whose net worth is $87,000,000,000 moves into Centerville. Now the mean net worth is ______ and the median net worth is ______.

Answers

The mean net worth is $1,000,000, and the median net worth is $87,000,000,000.

After Bill Gates moves into Centerville, the number of people in the town remains the same at 86,999, but the total net worth changes due to his massive wealth.

Mean Net Worth:

To calculate the mean net worth, we divide the total net worth by the number of people. The total net worth is the sum of the net worth of all individuals in Centerville.

Total Net Worth = Net Worth of 86,999 people + Net Worth of Bill Gates

Total Net Worth = 86,999 * 0 + $87,000,000,000 (Bill Gates' net worth)

Mean Net Worth = (Total Net Worth) / (Number of People)

Mean Net Worth = ($87,000,000,000) / (86,999 + 1) [Adding 1 for Bill Gates]

Median Net Worth:

The median net worth is the net worth of the middle person in the sorted list of net worth values. Since we have one extremely wealthy individual (Bill Gates) with a net worth of $87,000,000,000, he becomes the median net worth, as there are an odd number of people in Centerville.

So, after Bill Gates moves into Centerville:

Mean Net Worth = $87,000,000,000 / 87,000 = $1,000,000

Median Net Worth = $87,000,000,000

Therefore, the mean net worth is $1,000,000, and the median net worth is $87,000,000,000.

To know more about net worth:

brainly.com/question/31885969


#SPJ2
Median= $0 because 0,0,0,0,0,0,0,0,0,0,0.. and so forth

Mean= $1000000 because 87000000000/87000=1000000
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