The half-life of a certain radioactive material is 36 days. An initial amount of the material has a mass of 487kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 5 days. Round your answer to the nearest thousandth.

Answers

Answer 1

Answer:

442.302 kg

Step-by-step explanation:

amount = 487 (1/2)^(t/36) where t is the number of days.

if t = 5

amount = 487(.5)^(5/36)

= 442.302 kg


Related Questions

I need help y’all thanks

Answers

Answer:

f(x) = 23.5

Step-by-step explanation:

The slope when in the 4th quadrant is at 4,100

It’s f (x) 23.5

Because the 4th quadrant is at 4,100

PLS PLS PLS HELP I DONT HAVE MUCH TIME FOR THIS! I WILL MARK BRAINLIEST AND 22 POINTS!

Answers

Answer:

37

Step-by-step explanation:

the answer is 3 i’m pretty sure

can someone help me with this? Thank you!

Answers

Answer:

10.

Step-by-step explanation:

As the 2 Figures are similar the correspond sides are in the same ratio.

We see that BC = 5.0 and FG = 2.5, so each side in EFGH is 1/2 of its correspond side in ABCD.

Perimeter of EFGH , therefore, is

2.5 + 2 + 4 + 1.5

= 10.

find the missing angle
pls i need it asap, thanks​

Answers

1.

.90° + 45° + x = 180°

{Sum of angles of triangles = 180°}

135° + x = 180°

x = 45°

2.

61° + 90° + x = 180

151 + x = 180

x = 29°

3.

31° + 90° + x = 180°

122° + x = 180°

x = 58°

4.

x + 15° +90° = 180°

x = 180° - 105°

x = 75

~Tulpe⚘

HELP PLEASE!!!!

A ramp is being used to unload the back of a truck. The bottom of the ramp is 12 feet from the truck and the top of the ramp is lying on the back of the truck. If the back of the truck is 5 feet high, how long is the ramp?

14 ft
13 ft
7 ft
17 ft

Answers

Answer:

13 feet

Step-by-step explanation:

if we assume the angle on the ground to the truck is a ninety degree angle

Find the product

5/6 * 30

Answers

25

Explanation:

5/6 • 30/1

Because 30 is a whole number one puts it over 1 and since it’s multiplication one multiplies straight across

Leaving:

150/6

And that simplifies to 25

PLEASE HELP ASAP!! ILL MAKE YOU THE BRAINIEST
TRAP~EZYD use the diagram on the right to find the scale factor of TRAP to EZYD

Answers

Answer:

scale factor = 1.2

Step-by-step explanation:

the scale factor is the ratio of corresponding sides image to original, that is

EZYD → TRAP

corresponding sides are the comparable sides on both , that is

EZTR

then

scale factor = [tex]\frac{EZ}{TR}[/tex] = [tex]\frac{12}{10}[/tex] = 1.2

Assignment
What are the solutions of 3(x-4)(2x-3) = 0?

Answers

Answer:

Look at the photo and goodluck

4m² +10=182 finding square root

Answers

Answer:

m = 6.557

Step-by-step explanation:

Subtract 10 from both sides:

4m^2 = 172

Divide both sides by 4:

m^2 = 43

take the square root of both sides:

[tex]\sqrt m^2 = \sqrt{43[/tex]

m = 6.557

Does that make sense?

Find the Area of the figure below, composed of parallelogram and two semicircles.
Round to the nearest tenths place.

Answers

Answer:

622.13 square units

Step-by-step explanation:

Area of the composite figure = area of parallelogram + area of circle

Note: 2 semicircles = 1 full circle

Area of the figure = a*h + πr²

Where,

a = 22

h = 11

r = ½ of 20 = 10

Plug in the value into the equation

Area = 22*11 + π*11²

Area = 242 + π*121

Area = 622.13271108 ≈ 622.13 square units (nearest tenth)

Answer:

Step-by-step explanation:

556.2

How can you use a table to determine whether the relationship between two quantities is
proportional

Answers

Answer:

Step-by-step explanation:

How Do You Determine Whether Values in a Table are Proportional? To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.

Solve each system
9x - 8y = -4
-x - 4y=-24

Answers

Thee ansssweeer is. (4,5)
The answer for both equations are (4,5)

If you were creating a PSA about building a green roof, which sources would be reliable for researching the topic? Check all that apply. a .gov or .org website on green roofs an article from a government organization on how green roofs improve air quality a blog about how green roofs are a fun activity for community gardeners newspaper articles reporting on how green roofs absorb heat in cities a .net or .com website that shows a company’s opinion on sprinklers to install on green roofs

Answers

Answer:

A.a .gov or .org website on green roofs

b.an article from a government organization on how green roofs improve air quality

d. newspaper articles reporting on how green roofs absorb heat in cities

Step-by-step explanation:

because i did it

Answer:

abd

Step-by-step explanation:

Famous (and not so famous) Mathematicians Escape Room(Slide 3)
Can someone put the events in the correct order pls
(when they are in the correct order the letters in the corner form a CODE not a WORD so dont look for that)
I WILL GIVE BRAINLIEST

Answers

The chronological order of the events described is: Earliest record of the Chinese Lo Shu magic square, Hypatia becomes the head of the Platonist School, Aryabhata writes the famous aryabhatiya, The discovery of the Fibonacci Sequence, Florence Nightingale develops the polar area diagram, and First African American woman to visit space.

How to classify events chronologically?

To classify events chronologically we must know the date on which they occurred.

The chronological organization can be from the oldest event to the most recent or vice versa. In this case the organization of the events will be done from the oldest to the most recent.

Earliest record of the Chinese Lo Shu magic square: 650 BC, served as the basis for city planning, tomb design, and temple design.Hypatia becomes the head of the Platonist School: 400 - Around the year 400 the philosopher had become the leader of the Neoplatonists. Therefore, she devoted herself to teaching, focusing on the works of Plato and Aristotle.Aryabhata writes the famous aryabhatiya: 499-Aryabhata mentions in the Aryabhatiya that 3630 years had passed in the age of Kali iuga, when he was 23 years old. This corresponds to the year 499.The discovery of the Fibonacci Sequence: 1202 - The historical development of this sequence begins in the year 200 and is attributed to Pingala. Years later it would be discovered by Leonardo Bigollo in 1202.Florence Nightingale develops the polar area diagram: 1854 - 1856 - Florence Nightingale was the inventor of the Polar Area Diagram, which in this case is used to represent the number of deaths in the British Army during the Crimean War.First African American woman to visit space: 1992-Mae Carol Jemison flew her only space mission from September 12-20, 1992, on STS-47. Jemison logged 190 hours, 30 minutes, 23 seconds in space and orbited the earth 127 times.

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In the circle below, BD = 112° and FE = 38° Find m/FCE 10 1000 4

Answers

Answer:

∠ FCE = 37°

Step-by-step explanation:

the secant- secant angle FCE is half the difference of the intercepted arcs, that is

∠ FCE = [tex]\frac{1}{2}[/tex] (BD - FE ) = [tex]\frac{1}{2}[/tex] (112 - 38)° = [tex]\frac{1}{2}[/tex] × 74° = 37°

Mitchel is part of the track team at his high school. He ran the first 4 kilometers of a race in 30 minutes. How many kilometers did Mitchel run in 1 hour if his speed stayed the same?​

Answers

Answer:

8 kilometers in one hour

Step-by-step explanation:

4:30/4

30 [tex]divided[/tex] by 4

7.5

4 divided by 4

1

7.5 minutes to 1 kilometer

since there are 60 minutes in a hour

60/7.5 = 8

8 x 1 = 8

5.
Suppose you choose a marble from a bag containing 2 red marbles, 5 white marbles, and 3 blue marbles. You return the first marble to the bag and then choose again. Find P(red then blue

Answers

Answer:

5/10

Step-by-step explanation:

What is the area of the square below?
2.4 in
2.4 in
O A. 8 in2
O B. 5.76 in
OC. 5.76 in2
D. 5.76 ft

Answers

Answer:

O C. 5.76 in2

Step-by-step explanation:

To find the area of a square, the formula is

length x width = area

length = 2.4

width = 2.4

2.4in x 2.4in = 5.76 in2

in2 is the part of the answer since  in x in = in2

Find the center and radius of the circle represented by the equation below.

Answers

Answer:

Center= (-6,-8)

Radius= 6

Step-by-step explanation:

We use the formula (x-h)^2+(y-k)^2 then plug in our numbers:

[tex](x - h)^2 + (y - k)^2 = r^2\\(x+6)^2 +(y-k)^2=36[/tex]

In the equation -h is 6 so our h (x-coordinate) is -6

In the equation -k is 8 so our k (y-coordinate) is -8

In the equation r^2 is 36 so we take the square root of 36 to get r which is 6.

How do you convert [tex]x=-\frac{6}{7}x-\frac{6}{7}[/tex] into standard form? I know the answer but I can't figure out how to get it.

Answers

Answer:

[tex] \frac{13x}{7 } + \frac{6}{7} = 0[/tex]

there are 8 classes in the cafeteria. the ratio of the kindergarten classes to other classes was 1:3. how many classes were NOT from kindergarten
(6TH GRADE) ​

Answers

Answer:

6

Step-by-step explanation:

1+3=4

8÷4=2

Kindergarten = 2×1 =2

Other class = 2×3=6

Ratio of kindergarten classes to other classes is 2:6

What is the smallest number that i can add to 4310 to make it exactly divisble by 25

Answers

The smallest number you can add to make it divisible by 25 is 15

Provide the missing reasons in the proof.

Choices for the above proof:
Angle Addition Postulate
ASA Congruence Postulate
Given
Definition of right triangle
∆ is a right triangle
51° + 39° = ∠;
90° = ∠;
∠ is a right angle
Definition of right angle
Angle Congruence Postulate

Answers

The angle ∠DEF is equal to 90 degrees. Then the triangle ΔDEF will be a right-angle triangle.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The angle ∠DEG = 51° and angle ∠GEF = 39°.

Then prove that the triangle ΔDEF will be a right-angle triangle. Then we have

We know that if one angle of the triangle is 90 degrees then the triangle will be named a right-angle triangle.

The sum of the angle ∠DEG and ∠GEF will be

∠DEF = ∠DEG + ∠GEF

∠DEF = 51° + 39°

∠DEF = 90°

Then the triangle ΔDEF will be a right-angle triangle.

More about the right-angle triangle link is given below.

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pleas help me for 90 points

Answers

Answer:

140 in²

Answer as a decimal rounded to the nearest hundredth = 140.00 in²

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Given:

base = 20 inheight = 14 in

Substituting the given values into the formula:

⇒ Area = 1/2 × 20 × 14

             = 140 in²

Answer as a decimal rounded to the nearest hundredth = 140.00 in²

Answer:

140 square inches

Step-by-step explanation:

Formula to find the area of a triangle is A = 1/2 × b × h.

So plug in the numbers

A= 1/2 x 20 x 14

A= 20 x 14 / 2

A = 280/ 2

A(Area) is equal to 140 square inches

Which of the following is a proportion?

4/6=6/9
4/3=6/8
5/6=10/18
2/5=4/25

Answers

Answer:

4/6 = 6/9

Step-by-step explanation:

Because 4/6 = 2/3 and 6/9 = 2/3

Answer:

4/6 = 6/9

Step-by-step explanation:

Solve :
x- 25=75
x +19=50

Answers

Step-by-step explanation:

x - 25 = 75

=> x = 75 + 25

=> x = 100

x + 19 = 50

=> x = 50 - 19

=> x = 31

Given that tangent squared theta = three-eighths, what is the value of secant theta? Plus-or-minus StartRoot eight-thirds EndFraction Plus-or-minus StartRoot eleven-eighths EndFraction Eleven-eighths Eight-thirds

Answers

Using a trigonometric identity, considering the given value of the tangent of theta, the secant of the same angle is given by:

[tex]\sec{\theta} = \pm \sqrt{\frac{11}{8}}[/tex]

How is the tangent related to the secant?

According to the following identity:

[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]

In this problem, the tangent squared is given as follows:

[tex]\tan^2{\theta} = \frac{3}{8}[/tex]

Hence the secant is given by:

[tex]\sec^{2}{\theta} = 1 + \tan^2{\theta}[/tex]

[tex]\sec^{2}{\theta} = 1 + \frac{3}{8}[/tex]

[tex]\sec^{2}{\theta} = \frac{11}{8}[/tex]

[tex]\sec{\theta} = \pm \sqrt{\frac{11}{8}}[/tex]

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Answer:

Plus-or-minus StartRoot eleven-eighths EndFraction

Step-by-step explanation:

The answer above is correct.

Type the correct answer in the box. Use numerals instead of words.
Helen needs a replacement ball bearing for this part. The surface area of each spherical ball bearing is approximately 452.16 square milimeters.
What is the radius of the bearing that Helen needs to buy? Round your answer to a whole number

Answers

Using the surface area of the sphere, it is found that the radius of the bearing that Helen needs to buy is of 6 millimeters.

What is the surface area of a sphere?

The surface area of a sphere of radius r is given by:

[tex]S_A = 4\pi r^2[/tex]

In this problem, we have that:

[tex]S_A = 452.16[/tex]

Hence:

[tex]4\pi r^2 = 452.16[/tex]

[tex]r = \sqrt{\frac{452.16}{4\pi}}[/tex]

r = 6.

The radius of the bearing that Helen needs to buy is of 6 millimeters.

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Answer: 6

Step-by-step explanation: NOT NEEDED

I need help asap, if u can help me with other questions after this I’ll give u 50+ points

Answers

Answer:

C. 31 [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

1. Convert mixed numbers into improper fractions:

[tex]\frac{29}{4}[/tex] · 2² + ( [tex]\frac{17}{2}[/tex] - 2) ÷ 3

2. Calculate within the parenthesis:

[tex]\frac{29}{4}[/tex] · 2² + [tex]\frac{13}{2}[/tex] ÷ 3

3. Calculate the exponent:

[tex]\frac{29}{4}[/tex] · 4 + [tex]\frac{13}{2}[/tex] ÷ 3

4. Multiply and divide (left to right):

29 + [tex]\frac{13}{2}[/tex] ÷ 3

29 + [tex]\frac{13}{6}[/tex]

5. Add:

[tex]\frac{187}{6}[/tex]

6. Convert the improper fraction to a mixed number:

= 31 [tex]\frac{1}{6}[/tex]

hope this helps!

Please help!!!!!!
For the target below an archer randomly shoots an arrow which hits the target, what is the theoretical probability the arrow will hit the small square on the upper left? Assume all squares are the same size. Round to the nearest tenth of a percent.

A. 9.8%
B. 2.5%
C: 1.0%

Answers

9.8%
I took the test

The theoretical probability that the arrow will hit the small square on the upper left is approximately 9.8%. (Option A)

To determine the theoretical probability, we first need to calculate the areas involved. Let's start by finding the area of the entire circular target. The formula for the area of a circle is given by A = π * r², where 'r' is the radius. Plugging in the given radius (36 inches) into the formula:

A_circle = π * (36 inches)² ≈ 4069.73 square inches.

Next, we need to calculate the area of the small square in the upper left corner. Since the square is positioned at a corner of the circle, it forms a quarter of a circle. The area of this quarter circle can be calculated as follows:

A_quarter_circle = ¼ * A_circle. = ¼ * 4069.73 = 1017.43

Now, let's find the area of the square. The formula for the area of a square is A_square = side², where 'side' is the side length. Plugging in the given side length (5 inches) into the formula:

A_square = (5 inches)² = 25 square inches.

However, there are four identical squares inside the quarter circle, so the total area of all the squares combined is:

Total_Area_squares = 4 * A_square.

Now, to calculate the probability of hitting the small square in the upper left corner, we divide the area of that square by the area of the quarter circle:

Probability = (A_square / A_quarter_circle) * 100. = 25 / 1017.43 * 100 =  9.8%.

Hence the correct option is (a).

To know more about probability here

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