an oil tanker crashes off the coast of florida at 12:00 pm (t = 0 hours), causing oil to leak out. the oil spreads out over the surface of the ocean in a circle, with the radius at time t given in kilometers by r(t). the total volume of oil spilled as a function of the radius is given by v (r) in liters. assume v (r) and r(t) are invertible functions. for each of the following quantities, write out an expression that represents each quantity. your expressions should involve only the functions v, v −1 , r and r −1 evaluated at different inputs.

The total time is the sum of all the individual times in a given process or event. It is calculated by adding up the time intervals or durations of each individual task or event.

Lynn has 1 hour to work on her homework before dinner. To find out if she has enough time, we need to estimate the total time required for both science and reading homework.

1. Science homework: Lynn needs to spend 5/12 of an hour on science. To estimate, we can say that 5/12 is approximately equal to 1/2, which is 0.5 hours.

2. Reading homework: Lynn needs to spend 2/5 of an hour on reading. To estimate, we can say that 2/5 is approximately equal to 1/2, which is also 0.5 hours.

Now, we can add the estimated time for both tasks to find the total time needed:

Total time needed = Science homework time + Reading homework time
Total time needed ≈ 0.5 hours (science) + 0.5 hours (reading)
Total time needed ≈ 1 hour

The estimate shows that Lynn will need approximately 1 hour to complete both her science and reading homework. Since she has 1 hour before dinner, this estimate suggests that Lynn has just enough time to finish her homework before dinner.

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Answer:

9

Step-by-step explanation:

put in order least to greatest

-9 -9 -7 -6 -5 -4 -3  0

9-0=9

range cannot be negative because it is the space between numbers and distance cannot be negative

Answer: The range is 9.

Answer:

b=36m

Step-by-step explanation:

im not sure tho

Answer:

x = 12

Step-by-step explanation:

67+42+6x-1=180

108+6x=180

6x=72

x=12

Answer:

48%

Step-by-step explanation:

12 out o 25 are broken

so, 12/25 = .48 * 100 = 48%

Hope this helps!

Answer:

The answer to this question is 48% is broken

Answer:

D. 43

Step-by-step explanation:

first do everything inside paranthesis (12-4)=8

then multipy 8 by 5= 40

40+3=43

hope this helps

Answer:

43

Step-by-step explanation:

Answer:

9042.85 pounds

Step-by-step explanation:

12000×0.91^3

12000×0.753571

9042.85 pounds

Answer:

it's

\( \frac{ \sqrt{3m} }{4m} \)

The DEXA is the most accurate form of body composition measurement.

What is an x-ray?

An X-ray is a rapid and painless technique which is commonly used to generate images of the internal parts of a human body. It is a very effective and convenient way of looking for bone damages and other problems.

Explanation

The statement 'the dual-energy x-ray absorptiometry (DEXA) is the gold standard measurement for body composition is true. Here, the gold standard means the most accurate form of measurement.

Hence, the given statement is true.

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Answer:

3 hours

Step-by-step explanation:

Total cost = 144 + 80h

Where h = number of hours

How many hours can Michelle afford to pay the mechanic if she can spend no more than $384?

384 = 144 + 80h

Subtract 144 from both sides

384 - 144 = 144 + 80h - 144

384 - 144 = 80h

240 = 80h

Divide both sides by 80

h = 240 / 80

= 3

h = 3 hours

Answer:

$3.06

Step-by-step explanation:

Based on the question that was given, we can see that for every *one* pound,  the cost of the bananas is $0.68.

Since we are looking for how much 4 1/2 pounds is worth, we can convert this to 4.5 and simply multiply $0.68 by 4.5, giving us a grand total of $3.06

Answer:

4 1/2 pounds of bananas will cost $3.06.

Step-by-step explanation:

4 1/2=9/2

0.68*9/2

0.68*4.5

3.06

Answer:

Each friend is running a half mile.

They are running 1/2 mile.

The operations of addition, subtraction, multiplication, division, exponentiation, and modulus are carried out by the arithmetic operators.

They cover the study of numbers, including the order of operations, which are useful in algebra, data handling, and geometry, among other areas of mathematics.

Given Hotah and his 3 friends are each running 1/4 of a 2-mile relay race

total distance covered by them out of 2 miles is

2 x 1/4 = 1/2 miles

Therefore each person runs at 1/2 a mile.

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Answer:

y -2= 1/2(x+7)

Step-by-step explanation:

The point slope form of a line is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y - 2 = 1/2(x - -7)

y -2= 1/2(x+7)

Answer:

D)  y - 2 = 1/2(x - (-7))

Step-by-step explanation:

I just took the quiz on edge

Answer:

2!!

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

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Answer:

18cm = 45km

Step-by-step explanation:

Divide 18 by 4 to get 4.5. Multiply 4.5 by 10 to get 45km.

Answer:

7.a) 5

7.b) 1/2

8. 1

Step-by-step explanation:

7.

a)

Read the points on the graph (0, 0) and (1, 5).

slope = (5 - 0)/(1 - 0) = 5/1 = 5

b)

read the points on the graph (0, 0) and (4, 2).

slope = (2 - 0)/(4 - 0) = 2/4 = 1/2

8.

Points (1, 4) and (5, 8)

slope = (8 - 4)/(5 - 1) = 4/4 = 1

Answer:

\( \frac{x}{123.5}= \frac{5800}{100}\)

Where x represent the amount at the end of the year and if we solve we got:

\( x = 123.5 *\frac{5800}{100}= 7163\)

And the the increase would be:

\( Increase= 7163 -5800= 1363\)

Step-by-step explanation:

We know that the initial amount is 5800 and at the end of the year the amount increase by 23.5% so then we can use the following proportional rule:

\( \frac{x}{123.5}= \frac{5800}{100}\)

Where x represent the amount at the end of the year and if we solve we got:

\( x = 123.5 *\frac{5800}{100}= 7163\)

And the the increase would be:

\( Increase= 7163 -5800= 1363\)

Answer:

wat 12?

Step-by-step explanation:

Answer:

wat 12????????????????????????

The equation that Amy can use to find how many games of Balloon Bouncer, g, she played is; g = (35 - 2a)/3

We are told that Amy used her first 2 tokens at Glimmer Arcade to play a game of Roll-and-Score.

Balloon Bouncer costs 3 tokens per game, and Amy started with a bucket of 35 game tokens.

Thus, the expression for the number of balloon bouncer games played at the arcade is :

2a + 3g = 35

Let :

Glimmer arcade, a = $2 per game

Balloon bouncer, g = $3 per game

Total game tokens = 35

Her spending could be represented using the expression :

2a + 3g = 35  

g = number of balloon bouncer games played

Thus, making g the subject of the formula we have;

g = (35 - 2a)/3

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Answer:

3g + 2 = 35 is the answer.

She played 11 games.

Step-by-step explanation:

Step-by-step explanation:

fair coin is two sided Head H and Tail T

thrown 3 times

number of sample space n(s)=2³=>8

sample space (s)={HHH,HHT,HTH,HTT,THH,TTH,THT,TTT}

no of a head and two tails= 3/8

Answer:

The love seat cost $117.

Step-by-step explanation:

Given that,

A sofa and a love seat together costs $351.

Let love's seat = x

Sofa's seat = 2x

ATQ,

x+2x = $351

3x = $351

\(x=\dfrac{351}{3}\\\\x=\$117\)

So, the love seat cost $117.

Answer:

2.5 m/s

Step-by-step explanation:

9 km/h = 9 km/h * (1000 m/km) * (1 h/ 3600 sec) = 2.5 m/s

The plot of x(2-n) would be a rectangular pulse with height 1, extending from -4 to 2, and having a width of 6.

The values of x(2-n) are 0 for -∞ to -4 (exclusive) and 0.5 for n = -4 or 2, and 1 for -2 < n < 4 (exclusive), and 0 for n ≥ 4.

To determine if a discrete-time signal is periodic, we need to check if there exists a positive integer value 'N' such that shifting the signal by N samples results in an identical signal. If such an N exists, it is called the fundamental period.

a) For x[n] = 2 cos(5π/14 n + 1):

Let's find the fundamental period 'N' by setting up an equation:

2 cos(5π/14 (n + N) + 1) = 2 cos(5π/14 n + 1)

We can simplify this equation by noting that the cosine function repeats every 2π radians. Therefore, we need to find an integer 'N' that satisfies the following condition: 5π/14 N = 2π

Simplifying this equation, we find:

N = (2π * 14) / (5π) = 28/5 = 5.6

Since 'N' is not an integer, the signal x[n] is not periodic.

b) For x[n] = 2 sin(π/8 n) + cos(π/4 n) − 3 cos(π/2 n + π/3):

Similarly, let's find the fundamental period 'N' by setting up an equation:

2 sin(π/8 (n + N)) + cos(π/4 (n + N)) − 3 cos(π/2 (n + N) + π/3) = 2 sin(π/8 n) + cos(π/4 n) − 3 cos(π/2 n + π/3)

By the same reasoning, we need to find an integer 'N' that satisfies the following condition: π/8 N = 2π

Simplifying this equation, we find:

N = (2π * 8) / π = 16

Since 'N' is an integer, the signal x[n] is periodic with a fundamental period of 16.

Now, let's plot the discrete-time signal x(2-n):

x(2-n) is obtained by flipping the original signal x[n] about the y-axis. Therefore, the plot of x(2-n) would be the same as the plot of x[n] but reversed horizontally.

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The equivalent expression will be;

⇒ 2.2 + (- 2.5)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 2.2 - 2.5

Now,

Since, The expression is,

⇒ 2.2 - 2.5

Hence, After solve we get;

⇒ 2.2 - 2.5 = - 0.3

By option 3, we have;

⇒ 2.2 + (- 2.5)

After solving, we get;

⇒ 2.2 - 2.5 = - 0.3

Thus, The correct expression will be;

⇒ 2.2 + (- 2.5)

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