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3 years ago

What is the value of x? Enter your answer in the box

Mathematics

1 answer:

USPshnik [31]3 years ago

8 0

It is equilateral triangle, so the 3 sides have the same length

5x - 22 = 4x - 10
5x - 4x = -10 + 22
x = 12

The value of x is 12

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An important tool in archeological research is radiocarbon dating, developed by the American chemist Willard F. Libby.3 This is

Radda [10]

Answer:

Q(t) = Q_o*e^(-0.000120968*t)

Step-by-step explanation:

Given:

- The ODE of the life of Carbon-14:

Q' = -r*Q

- The initial conditions Q(0) = Q_o

- Carbon isotope reaches its half life in t = 5730 yrs

Find:

The expression for Q(t).

Solution:

- Assuming Q(t) satisfies:

Q' = -r*Q

- Separate variables:

dQ / Q = -r .dt

- Integrate both sides:

Ln(Q) = -r*t + C

- Make the relation for Q:

Q = C*e^(-r*t)

- Using initial conditions given:

Q(0) = Q_o

Q_o = C*e^(-r*0)

C = Q_o

- The relation is:

Q(t) = Q_o*e^(-r*t)

- We are also given that the half life of carbon is t = 5730 years:

Q_o / 2 = Q_o*e^(-5730*r)

-Ln(0.5) = 5730*r

r = -Ln(0.5)/5730

r = 0.000120968

- Hence, our expression for Q(t) would be:

Q(t) = Q_o*e^(-0.000120968*t)

7 0

2 years ago

Trapezoid ABCD is rotated on 180° about the origin. Draw the image A'B'C'D' of the given trapezoid and determine which of the fo

ICE Princess25 [194]

Answer: B, C, D

Step-by-step explanation:

since it is rotated, the parallel sides stay parallel.

4 0

3 years ago

Determine the intercepts of a line.<br> x-intercept: (__,__)<br> y-intercept: (__,__)

nlexa [21]

<h2><em>The x intercept is -250, and the y intercept is 100. x is the horizontal line, and the intercept is where the line goes through the x axis. Same thing for y only for the vertical line. So,</em></h2><h2><em>(-250, 0)</em></h2><h2><em>(0, 100)</em></h2>

8 0

3 years ago

Read 2 more answers

Divide. (2x3−5x2+7)÷(x−2)

RSB [31]

Answer:

Step-by-step explanation:

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3 years ago

Describe the image D first reflected across line I then across line m.

AleksAgata [21]

Answer:

Please check the <em>attached figure</em> to determine the new orientation of image D after first reflecting across line l and then across line m.

Step-by-step explanation:

<em>Describe the image D first reflected across line I then across line m.</em>

In mathematics, a reflection can be termed as just a "flipping" or an "overturn "of an object over a certain axis or line - commonly known as the line of reflection - without altering the shape and size of the original object, though facing in opposite directions.

<em />

<em>First Step: </em>

After the first reflection of letter D across the line l, it would again be a letter D. But the letter D would be a "turned D" letter, though having the same size but locating itself to the right side of the line l as shown in figure. The letter "Turned D" will have its curved side facing the left.

Hence, after the first reflection of letter D across the line l, the "turned D" will have its curved side facing the left, would be having same size but locating to the right side of the line l and also having located to the left side of line m as shown in figure.

<em>Second Step: </em>

After the second reflection across the line m, it would again convert, flip or overturn the the letter to the original object or letter, and its curved side again facing the right (original shape) , but now it would be locating itself to the right side of the line m as shown in figure.

So, new orientation of the image D is attached below.

Keywords: reflection, reflection across line

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2 years ago