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vlabodo [156]
3 years ago
10

On the day that a certain celebrity proposes marriage, 101010 people know about it. Each day afterward, the number of people who

know triples. Write a function that gives the total number n(t)n(t)n, left parenthesis, t, right parenthesis of people who know about the celebrity proposing ttt days after the celebrity proposes.
Mathematics
2 answers:
AnnyKZ [126]3 years ago
7 0

Answer:

n(t) = 101010(3^t)

Step-by-step explanation:

The initial number of people who knew about it is;

n(0) = 101010

The number of people who will have known in a day's time;

n(1) = 101010(3)

The number of people who will have known in 2 day's time;

n(2) = 101010(3)(3) = 101010(3^2)

The number of people who will have known in 3 day's time;

n(3) = 101010(3)(3)(3) = 101010(3^3)

Therefore, the total number n(t) of people who know about the celebrity proposing t days after the celebrity proposes becomes;

n(t) = 101010(3^t)

vovangra [49]3 years ago
6 0

On the day that a certain celebrity proposes marriage, 10 people know about it. Each day afterward, the number of people who know triples. The function n(t) can be denoted in two ways.

Condition 1: If the day of the proposal is being t=1

The function is :  n(t)=10(3^{t-1} )

Condition 2: Considering the next day as  the first day after the proposal then  the initial day was day zero and the function is:

n(t)=10(3^{t} )

Checking:  when  t = 1, n(t) = 10; when t = 2, n(t) = 30; when t = 3, n(t) = 90  and so on.

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A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

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Answer:

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Step-by-step explanation:

Since each ticket costs 10.50 and you buy 42 :

10.5 * 42 = 441

4 0
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