You have 2,112 grams of a radioactive kind of mercury. How much will be left after 188 days if it's half-life is 47 days?

Answers

Answer 1

Answer:

132 g

Step-by-step explanation:

Initial amount = 2112 gTime = 188 daysHalf-life = 47 days

188 days / 47 days = 4 periods

Mercury left after 188 days:

2112 * (1/2)^4 = 2112* 1/16 =2112/16 =132 g


Related Questions

The graph of y = |x − 3| + 2 is reflected across the x-axis and then translated down 2 units. What is an equation of the transformed graph?

Answers

Answer:

y=-|x − 3|

Work

y = |x − 3| + 2

-2        -2

y = |x − 3|

add a neg before the absolute value

y=-|x − 3|

Transformation involves changing the position of a graph

The equation of the transformed graph is [tex]\mathbf{y = -|x -3| - 4}[/tex]

The equation is given as:

[tex]\mathbf{y = |x -3| + 2}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{y = -|x -3| - 2}[/tex]

The rule of translation 2 units down is:

[tex]\mathbf{(x,y) \to (x,y-2)}[/tex]

So, we have:

[tex]\mathbf{y = -|x -3| - 2 - 2}[/tex]

[tex]\mathbf{y = -|x -3| - 4}[/tex]

Hence, the equation of the transformed graph is [tex]\mathbf{y = -|x -3| - 4}[/tex]

Read more about transformation at:

https://brainly.com/question/11707700

Lilian makes $10.50 per hour and earned $252 last week. The equation 252 = 10.50h can be used to determine how many hours Lilian worked. How many hours did lilian work last week ? answer please !

Answers

Lilian worked 24 hours last week

She worked 24 hours 252/10.50 = 24

Find the rate of change of the following table.

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The rate of change is measured by the slope of the line in this linear table.

Calculate the slope m using the slope formula

m = [tex]\frac{y_{3}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (3, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-0}{3+3}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex] ← rate of change


I live in a state with a 6.5% sales tax. What would the tax be for a TV with a
list price of $500? Round to the nearest hundredths place. *

Answers

Answer:

Step-by-step explanation:

500*6.5%=32.50 tax

tax is $32.50

total with tax is $532.50

Help ill give brainlist

Answers

Answer:

x=2

Step-by-step explanation:

CAUTION IF U SEE A QUESTION BY Y7EICqeuL DO NOT ANSWER IT. SHE IS AN ADULT CREEP WHO IS EXPOSING HER BODY TO KIDS ON BRAINLY COPY AND PASTE THIS AROUND

Answers

Answer:

Oh yeah

Step-by-step explanation:

I am scarred for life

At least I am a girl

I always report her answers and questions and her account gets deleted, but she has multiple and she keeps coming back as something different

Answer:

HUH?! THANK YOU FOR THE INFORMATION TY

Step-by-step explanation:

brainly u the best

3. Simplify 315-217+45 - 28 . (1 point)
2/12
O 212
O 615-417
6/10 -4114

Answers

The answer might be (45/29).

Parellel lines it says 75 degrees and on another line it says 11x-2 what's the answer?

Answers

Answer:

x = 7

Step-by-step explanation:

Parallel lines so their the same

11x - 2 = 75

add 2 to both sides

11x = 77

divide both signs with 11

x = 7

Answer:

The answer to the equation below is also 75 degrees. X equals 7

Step-by-step explanation:

Assuming that the lines are parallel, we can confirm that the two angles are corresponding because they are cut by a traversal (corresponding means that they occupy the same relative position). Knowing that the are corresponding use the equation 11x-2= 75 to find x. You are welcome and I hope you get the best grade possible :). Have a nice day!

a triangle has a base of 15 feet and height of 9.5. what is the area of the triangle

Answers

Answer:

71.25ft

Step-by-step explanation:

A=hbb

2=9.5·15

2=71.25ft²

3 x 3 = 9 x 3 = 27 x 3 = ____x 3
Will Give Brainliest

Answers

27 times 3 equals 81!

i need help on one of my work sheet questions.
At a zoo, youth tickets cost $5 and adult tickets cost $9. A group that purchased x youth tickets and y adult tickets spent $90 on tickets. what is the domain of the relationship?

Answers

Step-by-step explanation:

there is your answers worked out step by step

Answer:

0 [tex]\leq[/tex] x [tex]\leq[/tex] 18

Step-by-step explanation:

Suppose a triangle with angles measuring 30°, 35°, and 115º is translated 1 unit left and 1 unit up on a coordinate grid.
Which would be the measure of an angle of the resulting triangle?
25°
35°
55°
65°

Answers

Answer:

35

Step-by-step explanation:

The triangle just moved. To translate an object doesn't change anything, it just changes the positioning.

Ex. Moving a box 1 foot forward and 1 foot to the left. I did nothing to the box, therefore the answer is 35 degrees since that is the only question there

Evaluate the expression when x = 9.2 and y = 3.4.
5xy

Answers

The answer is 156.4

5(9.2)(3.4)
156.4

The selling price for a used car at Smith's Auto Market was $17,700. Smith marks up the buying price by 18%. What was the buying price of the car?
$

Answers

Answer:

$20,886

Step-by-step explanation:

17,700/100=3186

3186+17,700=20,886

How do ik if the graph represents a function

Answers

Answer:

use the vertical line test you can not have more than one point on a vertical line (or a x value)

Step-by-step explanation:

Answer/Step-by-step explanation:

If the graphs relation is a function it will never repeat its x-values. In a function, there should only be 1 output(y) for each single input(x). Each x must correspond with only one y value.

The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if it had a bill of $71.80? 479 645 454 312

Answers

Answer:

The answer is 312.

Step-by-step explanation:

Because you would start with 71.80 minus 25 to get 46.8 then do 46.8 divided by 0.15 to get 312.

Answer:

312

Step-by-step explanation:

The earth spins 360 degrees about its axis in 24h. How many degrees does it spin in 10h?

Answers

Answer:

150

Step-by-step explanation:

To figure out how far it turns in one hour divide 360 and 24= 15, now to find out how much it turns in 10 hours multiply 10x15=150

The diagram shows a triangle.
3a
95°
34°
What is the value of a?

Answers

17 degrees. 180- 95-34 =51. 51/3= 17

Beth cooks 2 pounds of pasta. She serves 5 pound of pasta on each plate.
What is the total number of plates Beth serves with the 2 pounds of pasta?

Answers

Answer:

2/5

Step-by-step explanation:

The area of a rectangle is 221 square meters. If the length of the rectangle is 4m longer than its width, find the dimensions.
Let w be the width of the rectangle in meters.
First find the width of the rectangle by solving for w.

Answers

Answer:

w=13 (take only the positive value)

i hope this helps

What is the value of x in x = inverse of sine (negative one-half)?

Negative StartFraction 2 pi Over 3 EndFraction
Negative StartFraction pi Over 6 EndFraction
StartFraction 2 pi Over 3 EndFraction
StartFraction 7 pi Over 6 EndFraction

Answers

Answer:

-pi over 6 or B.

Step-by-step explanation:

I plugged it into desmos and this is what I got

Using the inverse of the sine function, it is found that the value of x is:

[tex]x = -\frac{\pi}{6}[/tex]

What is the inverse sine function?

It is the function described by:

[tex]y = \arcsin{x}[/tex]

And means that sine of y is equals to x, that is:

[tex]x = \sin{y}[/tex]

In this problem, the function is:

[tex]x = \arcsin{-\frac{1}{2}}[/tex]

Which means that we have to solve for x, considering that the sine of x is of -1/2. Hence:

[tex]\sin{x} = -\frac{1}{2}[/tex]

[tex]x = -\frac{\pi}{6}[/tex]

Hence, the value of x is given by:

[tex]x = -\frac{\pi}{6}[/tex]

More can be learned about inverse trigonometric functions at https://brainly.com/question/1143565

Find the measure of each interior angle of A ABC, where m m Fill in the blanks: m ,,m ____,m

Answers

I don’t get it sorry
M

write an equivalent expression for 6x + 18.

Answers

Answer:

6x + 18 = 6x + 6 × 3 = 6 ( x + 3 )

Step-by-step explanation:

6x + 18

= 6x + 6 × 3

= 6 ( x + 3 )

can anyone answer this ?? i’ll give brainliest

Answers

Answer:

the first one

Step-by-step explanation:

The first one hope that helps

Mrs. Wienman baked her family’s favorite pie. There are 5 people in the family. She cut the pie into eight parts. Her family ate four slices. What part of the pie was left?

Answers

Answer:

4/8

Step-by-step explanation:

Answer:

Pie remaining = 1/2 (simplified form of 4/8)

Step-by-step explanation:

Pie = 1 = 8/8 (cut into 8 peices)

Pie ate = 4/8

Pie remaining = 4/8 (8/8 - 4/8)



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

ac - ad + bc - bd - 9e

Step-by-step explanation:

Please help I’ll give you guys brainiest!


Thank youuuuuuu :))

Answers

Hi there!

[tex]\large\boxed{\left \{ {{y\geq -x + 3} \atop {y > 2x - 3}} \right.}[/tex]

We can begin by looking at the solid-line pictured in the graph.

Using the slope-formula, we can derive the slope from this line:

[tex]\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 }[/tex]

Plug in points from the line:

[tex]m = \frac{0- 3 } { 3 - 0} = -1[/tex]

We can also see that the graph has a y-intercept, or "b" value of 3. The line is a solid line including values above it, which means we must use a "greater than or equal to" symbol. Therefore, the final equation is:

y ≥ -x + 3

The second line is dashed and also has values shaded above its graph. We can use this later to make an equation, but let's solve for the slope for now. Use the same equation as above:

[tex]m = \frac{1-(-3)}{2-0} = 4/2 = 2[/tex]

The graph has a y-intercept at y = -3, so this is the "b" value in its slope-intercept formula.

Use a "greater than" sign (Not equal to... the line is dashed) to write the equation:

y > 2x - 3

Each deli sandwhiches made uses 8/8 pound of roast beef.Marisa started with 5 pounds of roast beef and now has 2 3/4 pounds left. How many del sandwhiches did she make

Answers

Answer:

Marisa has made 6 sandwiches.

Step-by-step explanation:

The pounds of roast beef required to make each sandwiches is [tex]\frac{3}{8}[/tex], and not [tex]\frac{8}{8}[/tex] as erroneously typed in the question.

Given that each deli sandwiches made, uses [tex]\frac{3}{8}[/tex] pounds of roast beef.

Marisa started with 5 pounds, and had 2[tex]\frac{3}{4}[/tex] pounds left.

Thus,

pounds of roast beef used = 5 - 2[tex]\frac{3}{4}[/tex]

                                             = 5 - [tex]\frac{11}{4}[/tex]

                                             = [tex]\frac{20 - 11}{4}[/tex]

                                             = [tex]\frac{9}{4}[/tex]

                                             = 2[tex]\frac{1}{4}[/tex]

Marisa had used 2[tex]\frac{1}{4}[/tex] pounds of roast beef. So that;

the number of del sandwiches made = 2[tex]\frac{1}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex]

                                                    = [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex]

                                                    = 6

Therefore, the number of sandwiches made by Marisa is 6.

Ian has 3/4 of an hour to work on math problems before he leaves for track practice each problem takes 1/12 of an hour how many problems will ian be able to finish before leaving

Answers

Answer:

9

Step-by-step explanation:

Since Ian has 3/4 of an hour that is 45 minutes left till practice and it takes 5 minutes per question so he will have 9 questions finished

9514 1404 393

Answer:

  9 problems

Step-by-step explanation:

The number can be found by dividing the time by the rate.

  (3/4 h)/(1/12 problems/h) = (9/12)/(1/12) problems = 9/1 problems

  = 9 problems

Ian can finish 9 problems before leaving.

can a pentagon have interior angles that measure 120°, 105°, 65°, and 95°? explain.

Answers

Answer:

No

Step-by-step explanation:

because firstly, pentagon is five sided figure and secondly, the sum of interior angled of a pentagon is 540°

No, the given angles can not be the measure of the pentagon angles.

What is the pentagon?

A pentagon is a polygon having five sides connected to each other to form a closed figure. The sum of the angles of the pentagon is equal to 540 degrees.

Given angles are 120°, 105°, 65°, and 95°. Here as we know that the pentagon is a polygon having five sides. The number of angles formed by all the sides of the pentagon is also five.

Here we have only four angles that are 120°, 105°, 65°, and 95°. But to form a pentagon there must be five angles and the sum of the angles should be 540 degrees.

Therefore, the given angles can not be the measure of the pentagon angles.

To know more about the pentagon follow

https://brainly.com/question/224658

#SPJ2

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