The decay of 249 mg of an isotope is given by A=249e−0.015t , where t is time in years. Find the amount after 43 years.

Answers

Answer 1

Answer:

A≈676.2

Step-by-step explanation:

1. Exponentially solve equation

A=249e-0.0015t as t = 43 years (Unless conversion to seconds)

A≈676.2

2. Solve graphically = intersect = (43, 676.2) x axis is time y axis is amount.


Related Questions

please answer and show step. ​

Answers

Answer:

i believe the answer is 25.

Step-by-step explanation:

this is because if a=how much money deposited after  t= depositing weekly and 16 is being multiplied by t. that leads me to believe she deposits $16 weekly. therefore, her original deposit was $25.

tell me if this is incorrect.

Answer:

25

Step-by-step explanation:

In this equation, the original deposit was 25 dollars. The equation shows how much total money was in the account every week. It is written in slope-intercept form, which is y=mx+b, where m is the slope (how much the account is increasing each week) and b is the y-intercept (what was in the account after 0 weeks). This means 25 dollars must be the initial deposit because it is the total before any new weekly deposits.

am i right ? i just need clarification

Answers

Answer:

yes!!

Step-by-step explanation:

The area of the triangle below is 5/12 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
1/2 ft is the height

Answers

Answer:

5/6

Step-by-step explanation:

Need help with geometry HW.

Answers

Answer MKL = 45

Step-by-step explanation: 51.5+38.5=90

Then divid 90 by 2 and you get 45

In circle A, ∠BAE ≅ ∠DAE.

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Answer: the length of BE is 27

Please anything helps

Answers

Answer:

D- Neither graph is a funvtion.

Step-by-step explanation:

A function can only have one input to one output.  These have more than one output for each input.  You can also do the vertical line test, if it touches more than two points at the same time while going horizontally across, it is not a function.

Ms. Murray has a collection of 25 dimes and nickels. How many nickels does Ms. Murray have if she has a total of $2.30?

Answers

four nickels,
because 1 dime=10¢ and so 21 x .10 = 2.10 and 1 nickel=5¢ so .05 x 4 = .20

2.10 + .20 = 2.30

I’m not sure if the explaining made sense but it’s 4 nickels :)

Simplify 6(x + 2) + 7.
6x + 19
6x + 15
6x + 9

Answers

Answer:

6x+12+7

the answer is 6x+19

6(x + 2) + 7

= 6x + 12 + 7

= 6x + 19

Tony is going for a run. He runs 19.2 miles in 3 hours. What is his speed

Answers

Answer:

6.4 miles per hour

Step-by-step explanation:

19.2/3

Find the slope of the line
y = -5x + 5

Answers

Answer:

-5

Step-by-step explanation:

this is a y = mx + b equation. m is slope.

Answer:

-5

Step-by-step explanation:

When a linear function is in the form y=mx+b then m represents the slope of the line.

Simplify. Multiply and remove all perfect squares from inside the square roots. Assume z is positive. z* 30z2* 35z3

Answers

Answer:

[tex]5z^3\sqrt{42}[/tex]

Step-by-step explanation:

You can multiply and put everything under one square root to get [tex]\sqrt{1050z^6}[/tex]. You can take out [tex](5z^3)^2[/tex] from the square root to get [tex]\boxed{5z^3\sqrt{42}}[/tex]

Find the value of x.

Answers

Answer:

45 degrees

Step-by-step explanation:

Before we start, it is important to know that the sum of all angles of a triangle adds up to 180. Since one of the angle measure is already given to us, 90, we can subtract this from 180.

180-90=90

This tells us that the two remaining angles will add together to equal 90. In addition, it also tells us that the two remaining angles are equal. This means we can divide 90 by 2, and it leaves us that x= 45 degrees.

the angles inside a triangle = 180°.

You can see that this is a right triangle so one of the angles equals 90°. 180-90= 90°.

Now we can see the remaining two angles add up to 2x. So if we put all our work together 2x= 45°.
Divide both sides by 2 to get x alone

And we come to that x equals 22.5.

x= 22.5°

0.2
y is inversely proportional to V1+x.
When x=8, y = 2.
Find y when x = 15.

Please help me with this real quick!

Answers

Answer:

y = 1.5

Step-by-step explanation:

Given y is inversely proportional to [tex]\sqrt{1+x}[/tex] , then the equation relating them is

y = [tex]\frac{k}{\sqrt{1+x} }[/tex] ← k is the constant of variation

To find k use the condition when x = 8, y = 2 , then

2 = [tex]\frac{k}{\sqrt{1+8} }[/tex] = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

6 = k

y = [tex]\frac{6}{\sqrt{1+x} }[/tex] ← equation of variation

When x = 15, then

y = [tex]\frac{6}{\sqrt{1+15} }[/tex] = [tex]\frac{6}{\sqrt{16} }[/tex] = [tex]\frac{6}{4}[/tex] = 1.5

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Answers

Answer is 16 because 16/4 = 4 + -12 = -8

Answer:

m=16

Step-by-step explanation:

-8=m/4+(-12)

4=m/4

16=m

so first, you add 12 to the other side to cancel out the -12. 12-8=4. so now you have 4=m/4. to isolate the m, you have to multiply by 4 on both sides, which gives you 16=m or m=16.

i hope this helps :)

Complete the Area Model by dragging the response to the correct location/

Answers

Answer:

x2, 6x, 4x2

Step-by-step explanation:

Answer: x2 , 6x , 4x , 24 .

Step-by-step explanation: i got it wrong but it did tell me the correct answer !

what is 4/9 in the simplest form?

Answers

Answer:

it already is in simplest form

Step-by-step explanation:

4/9 is the simplest form. There is no way to simplify it further.

If this is incorrect, please, don't refrain to tell me. Thank you.

.A radio station sends a signal in a circular
area with an 80-mile radius. Find the
approximate area in square kilometers that
receives the signal. (Hint: 1 square mile z
2.6 square kilometers)

Answers

Answer:

52,249.6

Step-by-step explanation:

CAN SOMEONE HELP ME Find the area and perimeter (or circumference) of each figure.

Answers

Answer:

6. P= 22ft

   A=30ft²

7. P= 37 ft

  A= 65 ft²

8. P= 36 ft

   A=81 ft²

Step-by-step explanation:

The amount of money earned on a job is directly proportional to the
number of hours worked. If $70,00 is earned in 5 hours, how much money
is earned in 22 hours of work?

Answers

Answer:

$308 is the correct answer. Please refer to the attachment. If not able to understand then please let me know, I will resend it wih proper explanation. Hope it helps you. Thanks.

i fr need help please find x ​

Answers

Answer:

14

Step-by-step explanation:

below is 12+2 which is the same size as the top one

Ellie earns money by raking leaves. She earns $2.25 for each bag she fills with leaves. This week, she earns $24,75. How many bags of leaves does Ellie fill this week? Show your work.

Answers

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

24.75 divided by 2.25= 11

pls help i only have 10 minutes on my math test!!
the ratios are


8:5 ?????:10

Answers

Answer:

yes

Step-by-step explanation:

Answer: 16:10 i think

Describe the error made when converting the equation to vertex form.

Answers

Answer:

adding 36

Step-by-step explanation:

should be:

y-27=x²-12x

y-27=x²-12x

+12 +12

y-15=x²+x

y-15=x³

+15 +15

y=15x³

i need help again pls

Mark has a jar of marbles. The jar contains 1 red marble, 2 green marbles, 15 yellow marbles, and 11 blue marbles. Without looking, Mark chooses a marble from the jar.
Which statement is true?
A. The probability that Mark selects a red marble is closer to 1 than it is to 0.
B. The probability that Mark selects a blue marble is closer to 1 than it is to 0.
C. The probability that Mark selects a yellow marble is closer to 1 than it is to 0.
D. The probability that Mark selects a green marble is closer to 1 than it is to 0.

Answers

Answer: c

Step-by-step explanation:

There's more of a chance of selecting a yellow bc there are more yellow than any other color in the jar

Complete the square to solve 3x^2+12x=9
A. x=-2±√13
B. x=3±√6
C. x=2±√7
D. x=-2±√7

Answers

The answer should be Maybe D

Answer:

I think its D also

Step-by-step explanation:

25 points. Need help with this math question

Answers

Answer:

1 kilometer is 1000 meters

1 hectometer is 100 meters

1 dekameter is 10 meters

1 meter is 1 meter

1 decimeter is 0.1 meters

1 millimeter is 0.001 meters

Answer:

1 kilometer = 1000 meters

1 hectometer = 100 meters

1 dekameter = 10 meters

1 meter = 1 meter

1 decimeter = .1 meter

1 centmeter = .01 meter

1 milimeter = .001

Explanation:

You need to convert those units to other units, the most common way is to have a table with different factors. I would recommend the one of cm, mt, km, m/h. You can find those on internet.

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

your answer will be 9v+14

Step-by-step explanation:

have a nice day!!!

PLEASE HELP ME WITH THIS !!

Answers

3x3.5=10.5ft since 1 cm=3.5ft, and the car is 3cm
D) 10.5ft should be the correct answer

Joshua went to the grocery store and purchased cans of
soup and frozen dinners. Each can of soup has 200 mg
of sodium and each frozen dinner has 400 mg of sodium.
Joshua purchased a total of 10 cans of soup and frozen
dinners which collectively contain 2400 mg of sodium.
Write a system of equations that could be used to
determine the number of cans of soup purchased and
the number of frozen dinners purchased. Define the
variables that you use to write the system.

Answers

Answer:c + f = 10

200c + 400f = 2400

Step-by-step explanation:

Let's say c is the number of cans of soup and f is the number of frozen dinners.

The total number of items is 10:

c + f = 10

The total amount of sodium is 2400 mg.  Each can of soup has 200 mg, and each frozen dinner has 400 mg.

200c + 400f = 2400

The problem doesn't ask you to solve the system, but I'll solve it anyway.  We can use substitution or elimination.  But first, simplify the second equation by dividing both sides by 200.

c + 2f = 12

Using elimination, subtract the first equation.

f = 2

Plug into either equation to find c:

c = 8

There are 8 cans of soup and 2 frozen dinners.

just need help with the way. thanks!

Answers

Answer:

KN ≈ 20.7 cm

Step-by-step explanation:

Using Pythagoras' identity in right triangle KLM to find KM

LM² = KL² + KM²

28² = 16² + KM²

784 = 256 + KM² ( subtract 256 from both sides )

528 = KM² ( take the square root of both sides )

[tex]\sqrt{528}[/tex] = KM

----------------------------------------

Using the sine ratio in right triangle KMN

sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KN}{KM}[/tex] = [tex]\frac{KN}{\sqrt{528} }[/tex] ( multiply both sides by [tex]\sqrt{528}[/tex]

[tex]\sqrt{528}[/tex] × sin64° = KN , that is

KN ≈ 20.7 cm ( to 1 dec. place )

Other Questions
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