The half-life of a radioactive kind of barium is 3 minutes. If you start with 9,152 grams of it, how much will be left after 12 minutes?

Answers

Answer 1

[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &9152\\ t=\textit{elapsed time}\dotfill &12\\ h=\textit{half-life}\dotfill &3 \end{cases} \\\\\\ A=9152\left( \frac{1}{2} \right)^{\frac{12}{3}}\implies A=9152\left( \frac{1}{2} \right)^4\implies A=572[/tex]


Related Questions

1,945x46 multiplying multiplication

Answers

Answer:

89,470

Step-by-step explanation:

Solve:
n x 3.6 when n = 0.72

Answers

You would substitute the N and multiply. 0.72 x 3.6= 2.592

Answer:

Substitute n to that 0.72 and multiply it from 3.6

answer would be 2.592

Step-by-step explanation:

Rules for basic algebra needed

Answers



There are five basic rules of algebra.
...
They are:
Commutative Rule of Addition.
Commutative Rule of Multiplication.
Associative Rule of Addition.
Associative Rule of Multiplication.
Distributive Rule of Multiplication

(WILL GIVE BRAINLIEST TO CORRECT ANSWER)

Below is a table showing the maximum distance over time that an Adélie penguin can walk.

The distance that an emperor penguin can walk over a period of time is represented by the equation d=1.7t

A. Which penguin species has a faster maximum walking speed? Show your work.

B. Approximately how long would it take the fastest penguin from both species to walk 3 miles? Show your work

Answers

Answer:The penguin will walk 75.15 feet in 45 seconds.

It will take the penguin 26.95 seconds to walk 45 feet.

Through cross multiplication we can determine the unknown quantity we need

Step-by-step explanation:

BRAINLIEST TO WHOEVER GET IT RIGHT
What are the solutions to the system of equations graphed below?
in picture below:)

Answers

Answer:

hey there!

Step-by-step explanation:

your answer should be the first one (0,4 and 2,0)

hope its help yayayayayou

Eric and James are looking at this number sequence: 4, 8, 20, 56, 164. What must they do to find the term-to-term rule?

Answers

Answer:

[tex]f(n)=f(n-1) + 4(3)^{n-2}[/tex]

[tex]\textsf{where}\quad f(1)=4[/tex]

Step-by-step explanation:

Given sequence:  4, 8, 20, 56, 164

First, work out the difference in the terms:

[tex]4 \underset{+4}{\longrightarrow} 8 \underset{+12}{\longrightarrow} 20 \underset{+36}{\longrightarrow} 56 \underset{+108}{\longrightarrow} 164[/tex]

As the first differences are not the same, work out the second differences:

[tex]4 \underset{\times 3}{\longrightarrow} 12 \underset{\times 3}{\longrightarrow} 36 \underset{\times 3}{\longrightarrow} 108[/tex]

Therefore, the term-to-term rule is:

[tex]f(n)=f(n-1) + 4(3)^{n-2}[/tex]  

[tex]\textsf{where}\quad f(1)=4[/tex]

[tex]f(2)=f(1) + 4(3)^{2-2}=4+ 4(3)^{0}=4+4=8[/tex]

[tex]f(3)=f(2)+4(3)^{3-2}=8+4(3)^1=8+12=20[/tex]

[tex]f(4)=f(3) + 4(3)^{4-2}=20+4(3)^2=20+36=56[/tex]

[tex]f(5)=f(4) + 4(3)^{5-2}=56+4(3)^3=56+108=164[/tex]

A company promises to release a new smartphone model every month.Each models battery life will be 3% longer than the previous models. If the current models battery life is 684.0 minutes , what will the latest models battery life be 7 months from now ?

Answers

Using an exponential function, it is found that the latest models battery life will be of 841 minutes 7 months from now.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem, considering that the current battery life is of 684 minutes, and it should increase by 3% each month, the equation for the battery life after t months is given by:

[tex]A(t) = 684(1.03)^t[/tex]

Then, in 7 months, it will be given by:

[tex]A(7) = 684(1.03)^7 = 841[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Find x. Round your answer to the nearest tenth of a degree. (Please help)

Answers

Answer: 52.1

Step-by-step explanation:

The population density of a city is 121 residents per square mile. There are exactly 4,205 that live in the city.

What is the area of the city?

Answers

Answer:

34.75 ( that's round to the nearest hundredth )

Step-by-step explanation:

do the math

Eighth grade

CC. 14 Box plots Y Z

Mrs. James, a sixth grade teacher, recorded how many minutes each student reported

reading over winter break.

Time spent reading (min. )

+

0

100

200

300

400

500

What was the upper quartile of the time spent reading?

minutes

Submit

Answers

The upper quartile of the time spent reading, as shown in the box plot is: 300.

What is the Upper Quartile of a Data in a Box Plot?

In a box plot, the upper quartile is represented by the data point located at the end of the edge of the rectangular box in the box plot.

In the box plot, 300 is the value located at the end of the edge of the rectangular box.

Therefore, the upper quartile of the time spent reading, as shown in the box plot is: 300.

Learn more about upper quartile on:

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45N,30N what is the resulant force on the boat

Answers

Answer:

15N.

Step-by-step explanation:

45 - 30

= 15N.

Answer:

15

Step-by-step explanation:

45N - 30N = 15N

The resultant force on the boat is 15N.

Please help with the proportions word problem!!

Jillian wants to buy an $80 pair of boots. Before she can, the store raises the price by $24. By what percentage did they raise the price? Use proportions to solve the problem.

Answers

Answer:

30%

Step-by-step explanation:

the percent of 24 of 80 is 30% so they rasid the price 30% percent of 80

6th grader here sorry if wrong

All you need to is 80-24=56 so your answer is 56

PLEASE ANSWER ASAP WILL REWARD!
Find the formula for an inverse proportion, knowing that its
graph goes through the point:
C(-25, -0.2)

Answers

The formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.

What is inversely proportional relationship?

Let m and n are two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by

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

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

The formula for the inverse function is given as,

[tex]y=\dfrac{c}{x}[/tex]

Here, c is constant.

The graph goes through the point: C(-25, -0.2). For the inverse function.

[tex]-25\propto\dfrac{1}{-0.2}\\-25=\dfrac{c}{-0.2}\\c=-25\times-0.2\\c=5[/tex]

Put the value in the above function,

[tex]y=\dfrac{5}{x}[/tex]

This is the required function.

Hence, the formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.

Learn more about inversely proportional relationship variable here:

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Help me please, (b) ​

Answers

Answer:Aob is in the center

Step-by-step explanation:You see x and y are parallel across from each other, and u v are the same. A O B is recorded in the center.

The circular base of a table lamp has a radius of 9 centimeters. What is the base’s circumference ?

(Use 3.14 for pi)

Answers

Answer:

56.52 cm

Step-by-step explanation:

Since the circular base has radius of 9 cm. Therefore the base’s circumference is:

[tex]\displaystyle \large{C=2\pi r}[/tex] where r is radius and C is circumference.

Input r = 9 in:

[tex]\displaystyle \large{C=2\pi \cdot 9}\\\displaystyle \large{C=18\pi}[/tex]

Since π is given to be 3.14:

[tex]\displaystyle \large{C=18\cdot 3.14}\\\displaystyle \large{C=56.52}[/tex]

Therefore, the base’s circumference is 56.52 cm

Answer:

Circumference of base is 56.52 cm

Step-by-step explanation:

In this question we have given that radius of circular base of table lamp is 9 cm . And we are asked to find the circumference of base that means we have to find the circumference of circle .

We know that :

[tex]\qquad\underline{\boxed{\frak{{Circumference_{(Circle)} = 2\pi r }}}}[/tex]

Where ,

π refers to 3.14

r refers to radius of circle

Solution : -

Now we are finding the circumference of circle by putting value of radius as 9 and value of π as 3.14 in the formula .

[tex] \longrightarrow \qquad \: 2 \times 3.14 \times 9[/tex]

[tex] \longrightarrow \qquad \:6.28 \times 9[/tex]

[tex] \longrightarrow \qquad \: \orange{\underline{\boxed{\frak{56.52 \: cm}}}}[/tex]

Therefore , circumference of base of a table lamp having radius 9 cm is 56.52 cm .

#Keep Learning

2. Find the slope of this line.

Answers

Answer:

Answered below

Step-by-step explanation:

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

You need 2 coordinates from your graph as long as the line you have is completely straight. You have 2 points it is (0,3) & (8,0)

So your y2 is 0

y1 is 3

So your x2 is 8

x1 is 0

Plug in and solve (keep in mind you should be expecting a negative slope since your line is sloping downwards as you advance to the right.

m = (0-3)/(8-0)

m = -3/8

m = slope = -3/8x = -0.375x

Slope is given as a number followed by value x

Pleaseeeeeeee i need some help hereeeeeeee

Answers

Answer:

Attached image

Step-by-step explanation:

Convert 3/4 to 6/8, then count out the points on the line for each number to plot it.

Answer:

There are 8 tick marks, so......

2.75 would go on the 6th tick mark between 2 and 3

1.625 would go on the fifth mark between 1 and 2

For clarification, I have graphed it out below!

Hope this helps!

What is the value of x?

Answers

The value of x = 19

Because what you do is

WPS +SPT =180
5x+37 +3x-9 =180

5x+3x = 8x
37-9=28

So
8x+28=180

8x = 180-28 = 152

X= 152/8

X=19


Do you have any doubts now ?
Hopefully you can do problem like this in the future ...

Good luck

5.5 - Solving Quadratic Equations - Perfect Square Trinomials and Difference of Squares
Factor the following if they are a perfect square trinomial or a difference of squares.
a) x^2 + 24x + 144 = 0
b) 9x^2 - 36x + 36 = 0
c) x^2 - 64 = 0
d) 4x^2 - 81 = 0

Answers

Answer:

Step-by-step explanation:

(a²-2ab+b²)=(a-b)²

a²+2ab+b²=(a+b)²

i solve b and d

(b)

9x²-36x+36=0

(3x)²+2×3x×-6+(-6)²=(3x-6)²

(d)

a²-b²=(a+b)(a-b)

4x²-81=0

4x²-81=(2x)²-9²=(2x+9)(2x-9)

What is the average rate of change?

A. 4

B. 2/5

C. 1

D. 2​

Answers

Answer:

C) 1

Step-by-step explanation:

The average rate of change remains constant among the 3 given points as [tex]\frac{5-4}{2-1}=1[/tex] and [tex]\frac{10-5}{7-2}=1[/tex], so your answer is C

Julia and her children went into a restaurant where they sell hamburgers for $7 each and tacos for $2.50 each. Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether. If xx represents the number of hamburgers purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

115.50

Step-by-step explanation:

you times and divide the numbersto get to yy

The one possible solution can be yy = 10 and xx = 5 .

What is inequality?

Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among members of a given society. The term inequality may mean different things to different people and in different contexts.

According to the question

Julia and her children went into a restaurant where ,

hamburgers (xx)= $7 each

tacos (yy) = $2.50 each.

Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether.

i.e,    xx + yy ≥ 14  ----------------------------(1)

       7xx + 2.5yy ≤ 60 ----------------------(2)

from equation (1) and (2)  graph attached ...

solving both equation

multiplying equation (1) with -7

-7xx + -7yy ≤ -98 ----------------(3)

now adding equation (3) and (2)

-7xx + -7yy ≤ -98

7xx + 2.5yy ≤ 60

=   - 4.5yy ≤ -38

=    4.5yy ≥38

=     yy ≥ 8.4

now ,

yy        xx

9         5.35

10         5

11          4.64

Hence, one possible solution can be yy = 10 and xx = 5

To know more about inequality here :

https://brainly.com/question/25285332

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A cylinder has a height of 20 inches and a radius of 19 inches. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.?????????HELP PLEASEEEEEEEEEEE

Answers

Answer:

22670.8 :D

Step-by-step explanation:

Volume of a cylinder: 3.12(r^2)h

Now lets solve :)

3.14(19^2)20

3.14(361)20

(1133.54)20

22670.8 :)

Have an amazing day!!

Please rate and mark brainliest!!

Write the quadratic equation in standard form: -7x+11= −2x^2

Answers

Answer:

[tex]x=\frac{7-\sqrt{137} }{4} =-1.76[/tex]

Step-by-step explanation:

Riley and her friends buy snacks at the movies. They buy 3 pretzels and 4 drinks for $17.50. The cost of a pretzel is the same as the cost of a drink. The situation can be represented by the graph and the system of equations shown, where p is the cost of a pretzel and dis the cost of a drink. I a. What is the cost of each pretzel? What is the cost of each drink? Show your work.​

Answers

Answer:

Each costs $2.50

Step-by-step explanation:

Given

Cost of 3 pretzels and 4 drinks = $17.50p = d

Solving

3p + 4d = 17.50But, p = d3d + 4d = 17.507d = 17.50d = $2.50p = $2.50

Witch expression makes the equation true for all values of x? 15x - 15 = 5(?)
A. 3x - 3
B. 3x- 15
C.5x-5
D.12x-1

Answers

The expression that will make the algebraic equation true for all values of x is: A. 3x - 3.

What is a True Algebraic Equation?

An algebraic equation is an equation where for a value of x, the right side and the left side of the equation must be balanced.

Given the algebraic equation, 15x - 15 = 5(?)

The missing expression, is 3x - 3, because:

15x - 15 = 5(3x - 3)

Open the bracket

15x - 15 = 15x - 15

Both sides are equal.

Therefore, the expression that will make the algebraic equation true for all values of x is: A. 3x - 3.

Learn more about algebraic equation on:

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A. Dilation

B. Rotation

C. Reflection

D. Translation

Answers

Answer:

Reflection

Step-by-step explanation:

Figure 1 was reflected accross the y axis :)

Have an amazing day!!

Please rate and mark brainliest!!

I NEED HELP PLS (what percentage of 6th graders are boys?)

Answers

Answer:

50%

Step-by-step explanation:

its going up by 10% so its 50% the bar on boys in 6th graders is on 50%

Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink?

Answers

Answer:

12

Step-by-step explanation:

84/7 = 12

Each person will get 12 ounces to drink.

just divide 84/7 and that equals 12 i hope you get your work done soon enough

help me solve and explain this

Answers

Answer:

B because the length of R to U is 6x5

At Fairview Middle School, 75 band members need to raise a total of $8,250 for a trip. So far, they have raised $3,120.

How much money, in dollars, per band member, still needs to be raised for the trip?



The entire band decides to have a concert to raise the money for the trip. Tickets for the concert will cost $7.50 each.

A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip.What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?

Answers

How much money, in dollars, per band member, still needs to be raised for the trip?

$68.40

A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip. What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?

456 tickets
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