For Exercise, solve the equation. Write the solution set with exact values and give approximate solutions to 4 decimal places. 2 · 10^(1.2t) = 58

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: Given : a0 = 100  n = 2000/1590

Q: There were 100 grams of a radioactive substance ten years ago, now there are only 32 grams. Then,…

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Q: The Hawaiian volcano Kilauea is one of the world’s most active volcanoes and has had continuous…

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Q: About how accurately must the tank’s exterior diameter be measured to calculate the amount of paint…

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Q: An oil company bores a hole 80m deep. Estimate the cost of boring if the cost is £30 for drilling…

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Q: A certain drug can be traced in the bloodstream for a short amount of time. Given that there is 300g…

A: Initial Amount of drug present in blood stream = 300g  Concentration of drug depletes per minute =…

Q: Solve ex + 5 = 60 and approximate the result to three decimal places.

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: How long (In years) will It take a $400 Investment to bo worth s000 if It S continucusly compounded…

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: Half life = 1590 years Inititial amount of sample (a0) = 300 mg Final amount of sample (af) = ?

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A: Given, If the half-life of radium-226 is 1590 years. The initial amount of sample=200mg.

Q: Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels three-fifths of the…

A: The given data is: Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels…

Q: odine -131 has a half-life of approximately 8 days. ind the amount of iodine-131 left from a 100…

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Q: The half-life of carbon-14 is 5700 years. If an item is discovered with only 17% of the original…

A: Given Half life of carbon-14 =5700 years  i.e. and an item is found with only 17% of the original…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

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Q: Solve b part only now in 10 min

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Q: Solve ln(x^2−5x)=ln(6)

A: We have to solve

Q: •1 H t3e“ dt ||

A:

Q: If $5000 is invested at 7% annual simple interest, how long does it take to be worth $8150? yr

A: As from the formula of simple interest, i=p×n×r100               ...(1) Where, p = principal n=time…

Q: Approximate to 3 decimal place accuracy

A: Maclaurin series can be given as below : take

Q: The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain…

A: Given: The half life of Radium- 226 is 1590 years. If a sample contains 500 mg. To find: How many mg…

Q: The mass reaches 75 grams after t= years.

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain…

A: Given: Initial Value = 500 mg Half life  = 1590 years y=y0erty02=y0e1590re1590r=0.5

Q: In order to compare amounts of two different substances, it is necessary to figure out the amount of…

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Q: At the 2012 Busan Open Challenger Tennis Tournament is Busan, South Korea, the Australian Samuel…

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A:

Q: The rock hits the surface after 5.38 seconds. With what velocity will the rock hit the surface?

A: Given H=15t-2.79t2 Velocity can be obtained with  differentiation of height. V=dH/dt

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A: We know the half-life formula is: Nt=N012tt1/2 where we have: N(t) = Quantity of substance remaining…

Q: Simslarly Solve x= fi 4

A: System of differential equations

Q: The GPS in my car indicates that Have 100. min left until I reach my destination. What is this…

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Q: Determine the particular solution of the exact equation.

A: The particular solution of exact equation is  x3y - 3xy + 4y2 - 4 = 0  as explained below :-

Q: 3. Scientists have measured that an adult female cheetah can accelerate to 65 miles per hour in 3…

A: This question is based on the concept of uniform speed or constant acceleration. Given: Speed of…

Q: solve for x   ln(x)=.0807

A: We want  to free up x from natural  log. So take exponential  on both side.

Q: A bacteria sample in a lab grows to double its original mass in 3 hours. At what time will it be…

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Q: epx dx 1+ et

A: To evaluate the  integral ∫-∞∞epx1+exdx we use substitution and then standard formula.

Q: Solve in digital format please If the side of a cube measures 24 cm, calculate the approximate…

A: Given query is to find the increased in volume.

Q: A projectile is shot upwards from the surface of the earth with an initial velocity of 120 meters…

A: To determine: The velocity of a projectile after 6 seconds and after 9 seconds where a projectile is…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A:

Q: A bacteria culture contains 1500 bacteria and doubles every half hour. What is the size of the…

A: Given that: Given that: A bacteria culture contains 1500 bacteria and doubles every half hour.…

Q: The half-life of erbium-160 is 1.191 days. If a sample has a mass of 500 mg, find the mass (in mg)…

A: Given half life  t12=1.191 days and initial mass  A0=500 mg

Q: Find the dimensions of a rectangle with area 27000 m2 whose perimeter is as small as possible. (Give…

A: Explanation and solutions is given below.....

Q: A small hole on the sack of rice cause some rice to be wasted while the sack is being lifted…

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Q: As a water tank is being raised, water spills out at a constant rate of 2 ft³ per foot of rise. If…

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Q: The number of light bulbs that can be expected to last less than 1540 hr is.

A: here given , Suppose that the life expectancy of a certain brand of non defective light bulbs is…

Q: 元

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Q: A6 foot tall man is walking at a rate of 40 metres per mimite directly away from a wall with a toong…

A: Given query is to find the rate of change of height of the shadow.

Q: Solve exactly:  6 ln(x) = 5

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A:

Q: A bank note will be worth $76,000 when it matures in 4 years. If the note pays 3.63% per year…

A: Given:A bank note will be worth $76,000 when it matures in 4 years. If the note pays 3.63% per year…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.