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Alex Ar [27]
3 years ago
13

Help help help help help helps PLEASE I NEED HELP I CANT FAIL THIS

Mathematics
1 answer:
Yuri [45]3 years ago
3 0

Answer:

40=x

Step-by-step explanation:

59x + 32 = 1.39x

32 = 0.8x

40=x

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A patient is given a 100-milligram dosage of a drug that decays exponentially at a rate of 11% per hour. The doctor wants to kno
I am Lyosha [343]

Answer:

This is an example of exponential decay (somewhat similar to half-life).

If it decays at 11% per hour we can calculate its half-life by this formula:

half life = [ time • ln (2) ] ÷ ln (beginning amount ÷ ending amount)

where "ln" means natural log

half life =[ 1 hour * .69315] / ln (100 / 89)

half life =[.69315] / ln (1.1235955056)

half life =[.69315] / 0.11653381624

half life = 5.9481 hours


We need "lambda" "λ" (the decay constant) which equals

λ  = ln(2) / half-life = .693147 / 5.9481 = 0.1165325062


Now we need a formula for the time required:

time = ln (Nt ÷ N0) ÷ -λ where No = beginning amount (100 milligrams) Nt = ending amount (15 milligrams)

time = ln (15 ÷ 100) ÷ -0.1165325062

time = ln (.15)  /  -0.1165325062

time = -1.8971199849 / -0.1165325062


time = 16.2797492885 hours

Source: https://www.1728.org/halflif2.htm



Step-by-step explanation:


4 0
2 years ago
The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the
Inessa05 [86]

The right triangle is assumed to be inscribed in the rectangle, such that

hypotenuse is the diagonal of the rectangle.

  • The length of the hypotenuse of the triangle is <u>26 cm</u>.

Reasons:

Let <em>x</em> and<em> </em><em>y</em> represent the length of the sides of the rectangle

Whereby the base and height of the right triangle are the same as the

length and width of the rectangle, we have;

Perimeter of the rectangle = 2·x + 2·y = 68

Therefore;

\displaystyle x + y = \frac{68}{2} = 34

x + y = 34

The base of the right triangle = x

The height of the right triangle = y

By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)

Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60

Which gives;

∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26

The length of the hypotenuse side, √(x² + y²) = <u>26 cm</u>

Learn more about Pythagoras's theorem here:

brainly.com/question/8171420

6 0
2 years ago
Bryan has 24 toy cars. Jason has 12 toy cars. What is the ratio of Jason’s toy cars to Bryan’s toy cars?
sergij07 [2.7K]
12/24 = 1/2
answer is 1/2
3 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.
Paul [167]

Answer:

Step-by-step explanation:

Triangle WXY is a right angle triangle.

From the given right angle triangle

WY represents the hypotenuse of the right angle triangle.

With ∠W as the reference angle,

WX represents the adjacent side of the right angle triangle.

XY represents the opposite side of the right angle triangle.

To determine WY, we would apply the Sine trigonometric ratio

Sin θ = opposite side/hypotenuse. Therefore,

Sin 36 = 5/WY

WY = 5/Sin36 = 5/0.5878

WY = 8.5 to the nearest tenth

3 0
3 years ago
It costs 3$ to bowl a game and 2$ for shoe rental. Complete the table for the cost of 5 games. Write an expression for cost of g
Lera25 [3.4K]

Answer: 5$ in all

Step-by-step explanation:

I added 3 + 2 dollars in all

4 0
3 years ago
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