The decay of 277 mg of an isotope is described by the function A(t)= 277e^0.019t , where t is time in years. Find the amount left after 64 years. Round your answer to the nearest mg. Show all of your work for full credit. ​

Answers

Answer 1

The decay of 277 mg of an isotope is described by the function

A(t)= 277e-0.019t,

where t is time in years.

To find the amount left after 64 years,

We substitute t = 64 in the expression.

A(t=64)= 277e-0.019(64)

or A(t=64) = 277 * e-1.216

                = 277 * 0.29

                = 82 mg


Related Questions

What is the solution to the inequality 14y−14≥14?

Answers

14y > 0 is the answer

Answer:

[tex]y \geqslant 2[/tex]

Step-by-step explanation:

1. Add 14 to both sides.

[tex]14y \geqslant 28[/tex]

2. Divide both sides by 14.

[tex]y \geqslant 2[/tex]

Can anyone please help me with the last question I’m struggling!

Answers

The equation is x=-6

Step-by-step explanation:

In standard form the equation is y=4

And this is a horizontal line so the perpendicular line will be a vertical line of the form x=a

so that is why the equation is x=-6

Answer:

= -5

Step-by-step explanation:

An example of statistical inference is a. a population mean b. hypothesis testing c. calculating the size of a sample d. descriptive statistics

Answers

Answer:

B

Step-by-step explanation:

Statistical inference is the process of making use of analytics to determine the characteristics of a population using its sample.

The two types of statistical inference are:

Hypothesis testing. Confidence interval estimation.

Which of the following is true? (1 point)

Question 19 options:

1)

|–8| < 6

2)

|–6| < |–8|

3)

|8| < |–6|

4)

|–6| < –8
PLS GOD HELP ME

Answers

2 is true since the absolute value of -6 is 6 and the absolute value of -8 is 8. The absolute value of a number will always be the number itself but positive. Also 6 is less than five which make this true.

Kara was baking a cake. The recipe called for 8.5 cups of flour and she put in 3.2 cups so far. How many more cups of flour does she need?
**Write an equation AND solve:**

Answers

Answer:

5.3 cups of flour

Step-by-step explanation:

8.5 - 3.2 = 5.3 cups of flour

Choose the scenario that describes a proportional relationship.




Miguel earns $7.50 per hour while babysitting.


A hotel charges a flat rate of $12.00 to park in their parking lot.


A cellphone plan is $25 plus $0.05 per megabyte, MB, of data usage.


Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.

Answers

Answer:

Raphael sells paintings for $200 each at a market, but has to pay $100 to reserve a table. :)

Step-by-step explanation:

The scenario that describes a proportional relationship is D; Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.

What is directly proportional and inversely proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]where that middle sign is the sign of proportionality.

This inversely proportional relationship is denoted by;

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

Thus, the scenario that describes a proportional relationship is D; Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.

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Which expression is equal to 2xx−2−x+3x+5?

Answers

Answer:

It's the fourth one

Following are the solution to the given expression:

Given:

[tex]\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}[/tex]

To find:

Expression =?

Solution:

[tex]\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]

Therefore, the answer is "last choice".

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17 increased by twice Greg's height

Answers

Answer:25

Step-by-step explanation:

Kind of need more information to answer....

the diagram below shows the tile border shown in gray that surrounds a kiddie pool how many square feet does the tile border cover​

Answers

Answer:

72 square feet.

Step-by-step explanation:

You could do this by figuring out directly how many tiles are needed to make the border B...

It is easier to find the area of the large area and subtract the white pool

Large rectangle = 18 * 9 = 162

Small rectangle = 15 * 6 = 90       Subtract

Area of border =               72

Solve for n in the following equation. A=P(1+n) show all your work

Answers

Answer:

A-1/P=n

Step-by-step explanation:

step 1. look at the parentheses and use inverse operations on both sides

A=P(1+n)

-1       -1

step 2. divide both sides by P

A-1=P(n)

/P    /P

n= A-1/P

The value of n on solving the equation A = P (1 + n) is A / P - 1.

What is equation?

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

A = P (1 + n),

Here we can solve the parentheses by using the distributive property as shown below,

A = P × 1 + P × n

A = P + nP

Transform as shown below,

nP = A - P

n = (A - P) / P

n = A / P - 1

Thus, the value of n is A / P - 1.

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Which table shows a proportional relationship between x and y?
х
7
14
o
28
35
у
2
4
5
X
1
4
7
o
3 5
у
2
CO
14
х
2.5
الم
5
6
o
y
5
6
10
15
1
2
3
4
O
4
10
12
у
16

Answers

The first table shows a proportional relationship between x and y.

Proportional relationship

A proportional relationship exist between two entities if an increase in one causes an increase in another or vice versa.

First table

x             y

7            28

14           35

Second table

x               y

1               2

4               4

7                5

The first table shows a proportional relationship between x and y, for every value of x, y increases by almost 2 times.

Learn more about proportional relationship here: https://brainly.com/question/2575222

PLZ ANSWERE QUICKLY​

Answers

Transition because it mirrored but not exactly

Which expression is equivalent to 2x^2-
2x + 72

Answers

Answer:

36

Step-by-step explanation:

2x•2x=4x

4x-2x=2x

72÷2=36

Evaluate 5⁶/5²

is it not 5⁴?​

Answers

Your answer is correct because you subtract the exponents!

1. The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?


2. At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise

Please need right now

Answers

Answer:

1. The new temperature would be 13°C (-2+15)

2. The temperature rose 15°C (9-(-6))

PLEASE ANSWER AND HELP

Anissa plans to save for a pir of
headphones that are $85.00. The sales
tax rate is 8%. How much will Anissa
need to save?

Answers

She must save $91.80.

I would appreciate if someone answered this it’s due in 15 mins and I’m scared cause it’s a big part of my grade I will give a brainlist to whoever answers it correctly

Answers

Answer:

MP=18

Perimeter of ∆LMP=42

Answer:

MP= 18

Perimeter is 42

Step-by-step explanation:

The midsegment is always half of the third side

LP=LO/2

LP=15

18+15+9=42

what is 10:40 plus 7:15 in time?​

Answers

Answer:

5:55

Step-by-step explanation:

just add it up and you'll get the answer which is 5:55

Answer:5:55

Step-by-step explanation: lol

What’s 4/5 divided by 3

Answers

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

remember when dividing with fractions, you are multiplying by the reciprocal.

this means

[tex]\frac{4}{5} \div3=\frac{4}{5}*\frac{1}{3}=\frac{4}{15}[/tex]

Answer:

the answer is 0.26 it was originally 0.26666666666 which is repetition so I lowered it down to .26

Three different divers kept track of the number of treasure boxes they've found this year.
Diver Dives Treasure boxes found
Scuba Sam 111111 333333
Wet Suit Willy 181818 818181
Deep Diving Dan 262626 104104104
Which diver found the most treasures per dive?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Scuba Sam

(Choice B)
B
Wet Suit Willy

(Choice C)
C
Deep Diving Dan

Answers

choice a i'm pretty sure !

Answer:

ITS B

Step-by-step explanation:

plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.

Answers

Answer:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Step-by-step explanation:

Math Finals HELPP
Jay has an online biology quiz due every 5 days and an online
math quiz due every 4 days. If both quizzes were due on June
6, when is the next day both quizzes will be due again?
JUNE
Sun
Mon
Tue
Wed
Thu
1
2
Fr Sat
3 4
10 11
17 18
8
9
5
12
7
14
13
15
16
23
19
21
24
20
27
25
22
29
26
28
30
A. June 13
B. June 16
c. June 26
D. June 29

Answers

Answer:

June 26th

Step-by-step explanation:

Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $2.89 a. Let m represents the number of songs downloaded. Write an inequality that represents this given situation? b. What is the maximum number of songs Abbey can download?

Answers

Answer:

A. $2.89(m)=$40

B. 13 songs

Step-by-step explanation:

$2.89(m)=$40

m=$40/$2.89

m=13.84

She can download a maximum of 13 songs

Check:

$2.89 (13 songs)=$37.57

$40-$37.57=$2.43 left on her gift card

m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43

Answer:

13 songs

Step-by-step explanation:

40 divided by 2.89 is 13.84. DO NOT ROUND TO 14

So its a maximum of 13 songs, otherwise it will cost 40.46 for 14 songs

What is the ideal number of children to have in a family? The following data represent the ideal number of children for a random sample of 900 adult Americans. ​

Answers

Answer:

4

Step-by-step explanation:

In most modern family’s they usually have 4 or 2

24/30 in the simplest form

Answers

Answer:

The answer to this question is 4/5.

Answer:

4/5 or 0.8

Step-by-step explanation:

we divide tap and bottom by 6.

Last Sunday the average temperature was 8% higher than the average temperature Sundays ago. The average temperature two Sundays ago was t degrees Celsius chose the answer

Answers

Answer:

1.08.

Step-by-step explanation:

KAJSADBHAVMHDBHJHHFEHF I NEED HELP ON THIS SOMEONE PLS HELP

Answers

A :) I believe sjbdnwbsbdnsjdjen

Find x
13x+5)
(6x – 14)°
y + 8)

Answers

Answer:

X=21

Step-by-step explanation:

3x+5+6x-14=180

9x-9=180

9x=180+9

9x=189

x=21

The answer is 21 :)

Write the equation of the linear relationship in slope-intercept form using decimals as needed

Answers

Answer:

25/82

Step-by-step explanation:

Did the scale factor of 0.75 enlarge reduce or stay the same?

Answers

Answer:

[tex]\huge\boxed{\sf Reduces}[/tex]

Step-by-step explanation:

Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.

Thus the scale factor of 0.75 reduces the dilated image.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Answer:

-it reduces-

Step-by-step explanation:

good luck:)

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