In 2000 the total amount of gamma ray bursts was recorded at 6.4 million for a city. In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million. If the Earth can only withstand 1 billion gamma ray bursts, in what year will this become a problem? (Find the year in which the gamma ray bursts is 1 billion.)

Answers

Answer 1

In 2000 the total amount of gamma ray bursts was recorded at 6.4 million for a city.

We assume at 2000, t=0.

When t=0  then  gamma ray bursts y= 6.4 million. that is (0,6.4)

In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million

In 2005 , t= 5

When t=5  then  gamma ray bursts y= 7.3 million. that is (5, 7.3)

Frame an equation using  (0,6.4)  and (5, 7.3)

Use equation y = a(b)^t and solve for a  and b

(0,6.4)  => [tex]6.4=a(b)^0[/tex] so a= 6.4

(5, 7.3) => 7.3=6.4(b)^5

[tex]\frac{7.3}{6.4} = b^5[/tex]

Now take fifth root on both sides

b= 1.0266

So the equation becomes [tex]y= 6.4(1.0266)^t[/tex]

Now we need to find out t  when gamma ray bursts 1 billion

1 billion = 1000 millions

So we replace y by 1000 and we solve for t

[tex]y= 6.4(1.0266)^t[/tex]

[tex]1000= 6.4(1.0266)^t[/tex]

Divide by 6.4  and take ln on both sides

[tex]ln(\frac{1000}{6.4} )= ln(1.0266)^t[/tex]

We move the exponent 't' before ln

[tex]ln(\frac{1000}{6.4} )=t * ln(1.0266)[/tex]

Now divide both sides by ln(1.0266)

[tex]\frac{ln(\frac{1000}{6.4})}{ln(1.0266)} =t[/tex]

t = 192.419

It will take around 192 years

2000+ 192= 2192

 In 2192, the gamma ray bursts is 1 billion



Related Questions

How should I write this as an equation and how is the answer 1:15 am?

Answers

Alright, so the equation we have here is 22.75x+32=128.69

Now we just solve

-32 on both sides, we get

22.75x=96.69

divide by 22.75 on both sides we get

x=4.2501989

So 4 hours

You add the 4.25 hours

10, 11, 12, 1 is the hour

And .25 is a fourth, and a fourth of 60 minutes is 15 minutes

So he left at 1:15 pm

Solve for g. g/20 ≤5

Answers

[tex]\frac{g}{20}[/tex]≤5

Multiplying by 20 in all sides gives:

g≤(20×5)

Answer: g≤100



How many 2 inch cubes are needed to completely fill a cubic box of edges 4 inches long?

Answers

4 2 inch cubes are needed to fill the cubic box

Final answer:

The volume of the larger cube is 64 cubic inches and the volume of the smaller cube is 8 cubic inches. By dividing the larger volume by the smaller, we find that 8 two-inch cubes can fit in a four-inch cube.

Explanation:

The question is asking how many 2 inch cubes can fit into a bigger cube that has 4 inch edges. Firstly, we need to calculate the volume of the bigger cube by using the formula for volume of a cube which is the edge length cubed. So, 4 inches x 4 inches x 4 inches gives us a total of 64 cubic inches.

To find out how many 2 inch cubes can fit into the 64 cubic inch box, we would divide the volume of the bigger box by the volume of the smaller cube. The volume of the 2 inch cube is 2 inches x 2 inches x 2 inches which equals 8 cubic inches.

Dividing the volume of the bigger cube by the volume of the smaller cube gives us 64 divide by 8 equals 8. So, 8 cubes of 2 inch sides can fit into one cube of 4 inch sides.

Learn more about Volume Calculation here:

https://brainly.com/question/34259963

#SPJ11

Find the vertex of this parabola. y = -2x2 + 4x + 12 A. (-4, 12) B. (-2, 6) C. (3, 6) D. (1, 14)

Answers

D

given the equation of a parabola in standard form : ax² + bx + c = 0 ( a ≠ 0 )

then the x-coordinate of the vertex  = - [tex]\frac{b}{2a}[/tex]

y = - 2x² + 4x + 12 is in standard form

with a = - 2, b= 4 and c = 12

[tex]x_{vertex}[/tex] = - [tex]\frac{4}{-4}[/tex] = 1

substitute x = 1 into the equation for y

y = - 2(1)² + 4(1) + 12 = 14

vertex = (1, 14 )


Answer: the answer is d




Hey guys plz help
I really need it

Answers

Look up what your doing on Calculator soup

The width of the city is 104/5

Length of city is 5/2 times of width i.e. 5/2 × 104/5 = 520/10 = 52 metres

PLEASe answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

each vertical line is 1 unit.


Place dots on the 3rd, 9th and 16th line to the right of the line at 0

Count from 0 to the right 3 units then plot the point 3

From 3 count to the rights 6  more and plot the point 9

From 9, continue to count to the right 9 more and plot the last point 18

Whitney rolls a ball down a ramp that is 18 feet long if the ball rolls down 2 feet each second what integer represents the amount of time in seconds the ball takes to reach the end of the ramp

Answers

Integer generally means number.

if s = seconds then

2s = 18

solve for s,

18/2 = 7

s = 7 seconds

Answer:

ball took 9 seconds to reach at the end o the ramp.

Step-by-step explanation:

Whitney rolls a ball down a ramp.

Length of the ramp = 18 feet

Speed by which the ball rolls down = 2 feet per second

Let the ball takes T seconds to reach the end of the ramp.

By the formula,

Time taken = [tex]\frac{\text{Distance rolled}}{\text{Speed}}[/tex]

                   = [tex]\frac{18}{2}[/tex]

                   = 9 seconds

Therefore, ball took 9 seconds to reach at the end o the ramp.

A small leak is causing a swimming pool to lose 12 gal of water/h.

What is the change in the amount of water in 4 h?


A. −4 gal

B. −2 gal

C. 2 gal

D. 4 gal

Answers

None of your answers make sense.  

After 1 hour, you lose 12 gallons

After 2 hours, 24

After 3 hours, 36

After 4 hours, 48 gallons.


The answer would be -48 but that's not a choice given.

There are 50 campers at day camp and 10 counselors. Write the ratio of capers to counselors as a fraction

Answers

divide the two numbers.


50/10 = 5


there are 5 campers per counselor, or


5/1 (camper/counselor)


hope this helps

50/10 or a simplified version 5/1 !! This Means For every 5 studens their are 1 counselor for them!

if Pedro were 7.5 cm taller he would be twice as tall as Ian. Ian is 74.25 cm tall so how tall is Pedro?

Answers

Pedro is 141 cm tall.

Solve and explain how you got the answer:

Pete owes his brother $35 from 5 weeks of borrowing money. If Pete continues to borrow money, how much money will he owe after 3 more weeks?

Answers

Well if Pete has a total of $35 from the past 5 weeks 35 divided by 5 is 7. So Pete has been borrowing $7 each week, if he continues borrowing $7 for the next 3 weeks that would be $21 more dollars. Therefore 35+21 = 56.

What is 4x - 2 > 12? thanks!

Answers

4x-2>12
+2. +2
4x>14
4x÷4>14÷4
x>7/2 (simplified)

Here is your equation:

[tex]4x-2>12[/tex]

You're looking for x. To find it, you have to remove everything on the same side of x. The only thing with x is negative 2. To remove it, you have to do the opposite of it, which is positive 2, which is the same as adding 2.

Add 2 to both sides:

[tex]4x-2+2>12+2 \\4x>14[/tex]

You need to find the value of x alone. The variable is 4x. To leave x alone, you have to divide by 4.

Divide by 4 on both sides:

[tex]4x \div 4 > 14 \div 4 \\\\x>\frac{14}{4}[/tex]

The fraction can be simplified since both numbers are even. Divide both numbers in the fraction by 2:

[tex]\frac{14 \div 2}{4 \div 2} = \frac{7}{2}[/tex]

New Inequality:

[tex]x>\frac{7}{4}[/tex]

That means your answer is x > [tex]\bf \frac{7}{2}[/tex]

If you have any questions, feel free to ask in the comments! :)

9=-7m+1-6 I don't know how to do it

Answers

This is how you solve it. The answer is -2

The value of m is -2 for 9 = -7m + 1 - 6.

Given Equation;

9 = -7m + 1 - 6

Add 6 on both side,

9 + 6 = -7m + 1 - 6 +6

15 = -7m + 1

Subtract 1 on both side,

15 -1 = -7m + 1 -1

14 = -7m

m = - 2

Therefore, the value of m is -2.

Learn more about equation here;

https://brainly.com/question/32490578

#SPJ6

after a picnic 5/12 of the cornbread is leftover. val eats 4/5 of the leftover cornbread what fraction of the cornbread does val eat. answer in simplest form

Answers

5/12 - 4/5 = -23/60. You can't simplify -23/60. Hope this is right

Final answer:

To find the fraction of cornbread that Val eats, we multiply the fraction of leftover cornbread by the fraction that Val eats.

Explanation:

To find the fraction of the cornbread that Val eats, we first need to find the fraction of cornbread that is leftover after the picnic. The question tells us that 5/12 of the cornbread is leftover. Next, we need to find the fraction of the leftover cornbread that Val eats. The question states that Val eats 4/5 of the leftover cornbread. To find the final fraction, we multiply the two fractions together: 5/12 * 4/5 = (5 * 4) / (12 * 5) = 20 / 60. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 20, resulting in 1/3. Therefore, Val eats 1/3 of the cornbread.

In 2004 approximately 5 million cars and trucks were classified as Flex Fuel which means they could run on gasoline or diesel in 2009 that number increased to about 8 million how many more cars and trucks were flex fuel in 2009

Answers

3 million cars more.

In 2009, there were 3 million more flex fuel vehicles than in 2004.

There is asked how many more flex fuel vehicles were available in 2009 compared to 2004. A flex fuel vehicle is one that can run on more than one type of fuel, usually gasoline combined with either ethanol or methanol fuel.

In 2004, there were approximately 5 million flex fuel vehicles. By 2009, this number rose to about 8 million. To find the increase, we subtract the initial number from the final number:

Number of flex fuel vehicles in 2009 - Number of flex fuel vehicles in 2004 = Increase in flex fuel vehicles

8 million - 5 million = 3 million

How many square numbers are there between 1,000 and 2,000? What is a square number?

Answers

there are 12 square numbers between 1,000 and 2,000.

starts off at 32 bc 32^2=1024

ends at 44 bc 44^2=1936

A square number is the product of an integer multiplied by itself. There are 13 square numbers between 1,000 and 2,000, which are found by squaring all whole numbers from 32 to 44.

To determine how many square numbers are between 1,000 and 2,000, we must first understand what a square number is. A square number, sometimes called a perfect square, is an integer that is the square of an integer. In other words, it's the product of an integer multiplied by itself. For example, 10² is a square number because it equals 100, which is 10 times 10.

To find the square numbers in the given range, we need to find the square roots of 1,000 and 2,000 and then count the whole numbers between them. The square root of 1,000 is approximately 31.62, and the square root of 2,000 is approximately 44.72. Since we are looking for whole numbers, the first possible square number would be 32² and the last one would be 44². By squaring all the whole numbers from 32 to 44, we can list the square numbers within the range.

Next, we list the squares of these numbers:

32² = 102433² = 108934² = 1156...44² = 1936

By counting all the squares from 32² to 44², we find that there are 13 square numbers between 1,000 and 2,000.

There are two different maps of ohio. The scale on the first map is 1 cm to 10 km. The distance from cleveland to clncinnati is 40 cm. The scale on the second map is 1 to 50 km what is the distance from cleveland to cincinnati on the second map explain your reasoning

Answers

Answer: Distance from Cleveland to Cincinnati on the second map is 8 km.

Step-by-step explanation:

Since we have given that

The scale on the first map is

[tex]1\ cm:10\ km[/tex]

That means

[tex]1\ cm=10\ km[/tex]

Distance from Cleveland to Clncinnati = 40 cm

So,

[tex]1\ cm=10\ km\\\\40\ cm=10\times 40\ km\\\\40\ cm=400\ km[/tex]

Similarly, Scale on the second map is given by

[tex]1\ cm:50\ km\\\\i.e.\\\\1\ cm=50\ km[/tex]

So, our 400 km in second map will be

[tex]\frac{400}{50}\ km=8\ km[/tex]

Hence, Distance from Cleveland to Cincinnati on the second map is 8 km.

What’s 111x1? I neeeeeeed to know

Answers

The answer is 111 lol

1 multiplied by anything is the given number


so 111 x 1 = 111

whats twice the square root of 36

Answers

12. the square route of 36 is 6 and 6 times 2 is 12.

Twice the square root of 36 is equal to 12.

Here, we have,

given that,

what is twice the square root of 36

now, we have,

Twice the square root of 36 can be calculated as follows:

Twice the square root of 36 = 2 * √36

Since the square root of 36 is 6:

Twice the square root of 36 = 2 * 6 = 12

Therefore, twice the square root of 36 is equal to 12.

To learn more on square root click:

brainly.com/question/29286039

#SPJ2

At an auto repair shop, 14 of the 56 cars received oil changes, What percent of the cars received oil changes?

Answers

Hello Belleoberry2005, I am here to answer your question.

Here we do a simple rule of 3, like this: 14*100/56, and that gives us 25.

So the answer is: 25%

Hope this helped answer your question.

To calculate the percentage of cars that received oil changes at an auto repair shop, divide the number of cars with oil changes (14) by the total number of cars (56) and multiply by 100 to get 25%.

The student asks how to calculate the percentage of cars that received oil changes at an auto repair shop. To find the percentage, divide the number of cars that received an oil change by the total number of cars and then multiply by 100. There were 14 out of 56 cars that received oil changes.

Here is the step-by-step calculation:

Divide the number of cars that received oil changes (14) by the total number of cars (56). 14 \/ 56 = 0.25.Multiply the result by 100 to get the percentage. 0.25 * 100 = 25%.

So, 25% of the cars received oil changes.

A catering company is setting up for a wedding they expect 150 people to attend they can provide tables that seat 6 people and large tables that seats 10 people Let x represent the number of small tables and y represents the number of large tables write an equation to represent the relationship between x and y

Answers

For the small tables, it will be 6X, because since they fit 6 people, you will need to multiply 6 times the amount of tables(which is X), then for the larger table, it will be 10Y, because since they fit 10 people, you will multiply 10 times the amount of tables (which is Y).

This leaves you with 6X+10Y

If they are expecting AT LEAST 150, then the equation needs to be set to greater than or equal to 150, but if they are expecting exactly 150, no more no less, then the equation will be set equal to 150.

Therefore it is either:

A: 6X+10Y>or=150

B:6X+10Y=150


Final answer:

The relationship between the number of small tables (x) and large tables (y) needed to seat 150 people can be described by the equation 6x + 10y = 150, where 6x represents the number of guests at small tables and 10y represents the number of guests at large tables.

Explanation:

The student's question deals with creating an equation to describe the relationship between the number of small tables seating 6 people and the large tables seating 10 people required to accommodate 150 guests at a wedding. To solve this, you can write an equation based on the total seating capacity that needs to be provided by both types of tables.

The total number of people that can be seated at small tables is represented by 6x, and the total number of people that can be seated at large tables is represented by 10y. Since we know that the total number of guests is 150, the relationship between x and y can be represented by the following equation:

6x + 10y = 150

This equation states that the total number of guests (150) is equal to the sum of guests seated at small tables (6x) and the guests seated at large tables (10y).

what is 2 to the -3 power

Answers

The answer would be 1/8.

And number raised to a negative power is equal to its fractional inverse.

Meaning 2 to the -3 power is equal to 1/2 to the 3 power.

So the answer is 1/8 since 1 / 2 x 2 x 2 is 1/8

Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts if the posts are evenly spaced, how many feet apart are they?

Answers

Seeing as there are 5280 feet in each mile. They are 160ft apart.

5280/33 is 160

Your answer is 160 ft apart because if you turn 1 mile into feet it would be 5280 feet, then divide by 33 posts and you would get an even answer of 160 feet apart.


*ANSWER ASAP* {WILL GIVE BRAINLIEST} Refer to the equation 3x - 2y = -18

Answers

m=3/2 is the answer for the equation

A bouquet had 10 flowers and sold $90,which is a rate of $_ per flower

Answers

$9.00 per flower 90÷10=9

the distance between two points A (x1,y2) and B(x2,y2) is d=

Answers


[tex]d = \sqrt{{(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
this is the distance formula. It's like the Pythagorean theorem. is useful if you're looking for the distanceof two points

Answer

Step-by-step explanation:

Mr. Sloan said that his car was worth $30,000 when he first purchased it however over the last three years it has decreased in value $5400 what integer represents the average decrease in value per year?

Answers

Answer:

The integer that represents the average decrease in value per year will be 1800.

Step-by-step explanation:

Suppose, the average decrease in value per year is  [tex]x[/tex] dollar.

So, the amount of decrease in three years will be:  [tex]3x[/tex] dollar.

Given that, the value of the car is decreased $5400 over the last three years. So, the equation will be......

[tex]3x=5400\\ \\ x=\frac{5400}{3}=1800[/tex]

Thus, the integer that represents the average decrease in value per year will be 1800.

A 13 Ft ladder is leaning up against a building, with the base of the ladder 2 feet from the building. How high up on the building will the top of the ladder reach?

Answers

Visualize the image in your mind and you can see that it forms a right angled triangle with a base,altitude and hypotenuse

base=2 feet

hypotenuse(ladder)=13 ft

We need to find the altitude,

By applying pythagoras theorem,

base square+altitude square=hypotenuse square

Take altitude as x

2 square+x square=13 square

4+x square=169

x square=169-4

x square=165

x= root of 165

x=12.8 feet(approx.)

Find the difference (10j-7)-(-9j+2)

Answers

(j-9) is your answer

To solve this problem all you need to do is to combine like terms. Like terms are terms with the same variables (for ex. 4x and 6x, 3y and 9y) and powers (for ex. e^2 and x^2).

Start by writing out the entire problem to be well organized and make it easier to see if you were to do this with pen and paper.

(10j - 7) - (-9j + 2)

Distribute the negative sign into everything inside of the parentheses on the right hand side. Rewrite the problem again (preferably after every step to make it easier to catch a mistake you made if you were to double check your work).

(10j - 7) + 9j - 2

Finish off this problem by combining like terms. Add 10j and 9j together, and also add -7 and -2 together. Your final answer should look like this:

19j - 9

it cost $24 to rent a bike for a 5 hours how many hours of bike use does a customer get per dollar

Answers

$4.08 dollars per hour

The requried, customer gets approximately 0.2083 hours (or 12.5 minutes) of bike use per dollar.

To determine how many hours of bike use a customer gets per dollar, we need to divide the total number of hours by the cost in dollars.

In this case, the cost is $24 for 5 hours of bike use.

Hours per dollar = Total hours / Cost in dollars

Hours per dollar = 5 hours / $24

To find the value, we can calculate the division:

Hours per dollar = 5 / 24 ≈ 0.2083

Therefore, a customer gets approximately 0.2083 hours (or 12.5 minutes) of bike use per dollar.

Learn more about divisions here:

https://brainly.com/question/28996170

#SPJ2

Other Questions
Given: A D, B E mC = x, mF = 2x30 Find: mCThis is 2 seperate trianglesABC is one triangle and DEF is a different triangle what is a market research analyst when (Blank) travels through the space it is called radiation the temperature in Indianapolis was-4F at 7:00 am. the temperature rose 3F by noon. What was the temperature at noon? use a number line to find the answer Simplify.x + (7 + 14 x ) My friend needed help with this and I found the height through the theorem but can't figure out how to get the base of the overall triangle Order the correlation coefficients from weakest to strongest negative correlation -0.59 , -0.18 , -0.82 , -0.37 Which statement best describes fannys relationship with mrs. Norris A food web illustrates a snake eating a rat. What is the role of the snake in the food web? A train traveled 325 miles in 5hrs. What was the trains average rate of speed in miles per hr ? 1.Which of these slogans might a Federalist have shouted at a party rally?States Rule!Jefferson for President!Power to the People!Central Government over All!2.In the 1790's, most Americanslived in cities and worked as laborers, craftspeople, or merchants.lived west of the Appalachian Mountains or wanted to move West.lived in the countryside and worked on family farms.lived in small towns and worked as laborers or craftspeople.3.Which of the following was an issue on which Alexander Hamilton and Thomas Jefferson had differing views?National Bankall of the aboveProtective tariffsRole of the Central Government4.President Washington personally led the Army against the participants in the Whiskey Rebellion because he feltindividual farmers must pay off the national debt through taxes.the rebellion might spark similar incidents of violence.people needed to understand the constitutional right of Congress to institute tax laws.the federal government was owed taxes for providing settlers with protection and opportunities for trade.5.Why did George Washington issue the Neutrality Proclamation?He hoped to show the world that the United States was a peaceful nation.He wanted to concentrate on internal problems that faced the nation.He feared that involvement in the war between France and Britain was dangerous.Jefferson persuaded Washington to stay neutral toward France.6.The main threat faced by Americans in the Northwest Territories wasNative American tribes supplied with guns and ammunition by the British.Native American attacks on supply lines into the territories.tornadoes that destroyed much of the farmland.harsh winter conditions and inadequate forts.7.In the XYZ affair, French agents woulddiscuss a treaty to protect U.S. shipping in exchange for a bribe.accept no amount of money and insist on waging war.sign a treaty in exchange for weapons.sign a treaty in exchange for U.S. territory in the Caribbean.8.President Washington demonstrated the government's power under the new Constitution to enforce federal law in the way he handled theAlien and Sedition ActsJudiciary Act of 1789XYZ AffairWhiskey Rebellion9.Secretary of State Thomas Jefferson criticized U.S. policy toward France because hebelieved the United States owed France support since France backed it during the Revolutionary War.thought the United States could benefit from trade with France.wanted to allow France to use American privateers.thought it would take away power from Alexander Hamilton. Which of the following graphs represents the equation y=-2x+3? Arrange the number in decreasing order: 8.508 8.58 7.5 7.058 Indentify the phrase in parenthesis in each sentence.1. (After several minutes,) I finally located my car keys.A. prepositional B. participialC. gerundD. infinitive2. Mikayla's homeroom teacher, (Mr. Jones.) is proud of her.A. participialB. gerundC. appositiveD. prepositional3. Henry's desire (to win) is obvious.A. gerundB. infinitiveC. prepositionalD. participial4. (Talking) is not allowed in class.A. prepositionalB. gerundC. appositiveD. infinitiveDetermine if the sentence contains a misplaced modifier or a dangling modifier, or if it is correct.5. Josie's project was a failure, having not prepared properly.A. Misplaced ModifierB. Dangling Modifier C. Correct Using paper chromatography, how can you separate a homogeneous mixture into its component chemicals? What is the reason for the fourth and eighth steps in the proof Ruth makes 35 working 5 hours at her job. How much will she make during an 8 hour workday What is 17,509 rounded to the nearest thousand? Um pequeno agricultor do interior do par, ao medir seu terreno retangular, percebeu que suas dimenso esto na razo 5/7. Se a rea do terreno de 2240 m**, ento sua maior dimenso em metros de:a)36b)40 c)48d) 56e)62 When did the universe start according to the Big Bang theory