A scuba diver dove from the surface of the ocean to an elevation of -59 9/10 feet at a rate of -18.4 feet per minute. After spending 12 minutes at that elevation, the diver ascended to an elevation of -18 9/10 feet. The total time for the dive so far was 19 1/8 minutes. What was the rate of change in the diver's elevation during the ascent? Round your answer to the nearest hundredth.


The rate of change of the diver's elevation was _______ ft/min.


Please include all of the work required to complete the mathematical problem. I would really appreciate it! <3

Answers

Answer 1

Answer:

The rate of change of the diver's elevation was 10 53/89 ft./min

Step-by-step explanation:

The given parameters are;

The initial elevation of the diver = 0 feet (Ocean surface level)

The depth to which the diver dove = -59 9/10 feet

The rate at which the diver descended = -18.4 feet/minute

The duration the diver spends at the elevation, t₁ = 12 minutes

The depth to which the diver ascended to = -18 9/10 feet

The total time the diver takes so far in the ocean, [tex]t_{(tot)}[/tex] = 19 1/8 minutes

Therefore, we have;

The time it takes the diver to descend to -59 9/10 feet t₂ = -59 9/10/(-18.4) = 3 47/184 minutes

The duration of the divers ascent = [tex]t_{(tot)}[/tex] - t₁ - t₂ = 19 1/8 - 12 - 3 47/184 = 3 20/23 minutes

The rate of change of the divers elevation in ascent = Distance of elevation/Time

The rate of elevation of the divers elevation in ascent = (-18 9/10 - (-59 9/10))/(3 20/23) = 41/(3 20/23) = 943/89 feet/minute = 10 53/89 feet/minute

The rate of change of the diver's elevation = 10 53/89 ft./min ≈ 10.6 ft./min.


Related Questions

the height of an apple

Answers

Answer:

apples are usually roundish, 5–10 cm (2–4 inches) in diameter

Step-by-step explanation:

Dwarf apple trees grow about 10 feet tall, while semi-dwarf varieties can reach 15 feet. Meanwhile, standard-size apple trees often soar to heights above 20 feet and sometimes tower at 30 feet.

Apples are 5 - 10 cm in height.

What is height?

Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it

Given is an apple.

When harvested, apples are usually roundish, 5–10 cm (2–4 inches) in diameter.

Therefore, apples are 5 - 10 cm in height.

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solve for n in the proportion. n/40=27/36. n=?​

Answers

Answer:

n=30

Step-by-step explanation:

40/36=1.111111

1.111111 times 27=30

Answer:

n=30

Step-by-step explanation:

solve by simplifying both of the equations , the isolating the variable

Reduce the fraction with 9  27/36 divide top and bottom by 9 = 3/4

n/40=3/4   cross multiplication 4n = 120 ( divide both sides by 4 )

n=30

Simon wants to build a cube-shaped storage container that holds 125 cubic feet of water for some frogs he recently purchased.Using the formula, V=s3, where represents the volume of the container and represents its side length, find the length of one side of the container.

Answers

Answer:

Length of one side of the container = 5 feet

Step-by-step explanation:

Given:

V = s³

Where,

V = volume of the container

s = side length of the container

V = 125 cubic feet

Find s?

V = s³

125 = s³

Find the cube root of both sides

3√125 = 3√s³

5 = s

s = 5 feet

Length of one side of the container = 5 feet

PLEASE help me I’m failing !! Leonard wants to buy some snacks at the FFA snack machine. He has $5.00 on
him and he wants to buy 2 beef sticks (.50 apiece), 2 crackers and cheese (.75
apiece) and 2 chocolate milks ($1.00 apiece). How much change will he get back?

Answers

Answer:

He will have 0.50 chage back

Step-by-step explanation:

Answer:

.50 cents

Step-by-step explanation:

2 beef sticks price will add to $1. 2 crackers of cheese add to $1.50. And 2 chocolate milks add to $2. Now add them all and you will get .50 cents

Joe has 80 video games and ally has 3 times as many.
How many video games do they have in all?

Answers

Answer: First we multiply 80 by 3 which gives us 240, then we add the initial 80 that Joe has, which gives us a total of 320 video games. So, they have 320 video games in all.

Answer:

320

Step-by-step explanation:

joe has 80 three times eighty is 240 so they have 240+80=320 so they have 320 games in total

Let f(x)=6/5x−1/2. Describe the transformations from the graph of f to the graphs of g(x)=−f(x) and h(x)=f(−x).

Answers

Answer:

g(x)=-6/5x+1/2

h(x)=-6/5x-1/2

Step-by-step explanation:

1).   g(x)=−f(x) ?

f(x)=6/5x−1/2

g(x)=−(6/5x−1/2)

g(x)=-6/5x+1/2

2). h(x)=f(−x) ?

f(-x)=6/5(-x)−1/2

f(-x)=-6/5x-1/2

h(x)=-6/5x-1/2

x(4- k) = p
solve for k

Answers

Answer:

Answer

3.0/5

10

FluttershyK22

x(4-k)=p

[x(4-k)=p]/x

4-k=p/x

-4 = -4

-k=p/x-4

k=4-p/x

Step-by-step explanation:

Answer:

k = - 4 + p

Step-by-step explanation:

p = x ( 4 - k )

p = 4x - kx

-4x    -4x

4x - p = - kx

divide by -x

-k = 4 - p

divide by -

k = - 4 + p

Hope this helps!!!

Jayvie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn't have a membership, so she pays $8.25 each movie she sees. Which equation shows when they will pay the same amount of money?

Answers

Answer:

27 + 6x = 8.25x

Number of movies (x) = 12

Step-by-step explanation:

Given that:

VIP membership :

Membership fee = $27 per year

Amount per movie = $6

Hence ;

Membership fee + (amount per movie * number of movies)

27 + 6x - - - (1)

Non member :

Amount paid per movie = $8.25

amount per movie * number of movies)

8.25x - - (2)

Let Numbe of movies = x

In other to pay the same amount of money :

Equate (1) and (2)

Equation :

27 + 6x = 8.25x

8.25x - 6x = 27

2.25x = 27

X = 12 movies

Sovle -5x + 8 < - 2x + 23

Answers

Answer:

13 i think

Step-by-step explanation:

I got bullied guys *drop mic 100000000000x times till faints*

Answers

Step-by-step explanation:

1-800-273-8255 my dude

Answer:

I think you should tell someone you trust that you got bullied. I'm so sorry, I know people that got bullied. We'll fight this together.

The total U.S. apple production increased during the 1973-1988 period from 6.2 to 9.l billion pounds. To the nearest tenth of a percent, what was the percent of increase in apple production in the United States from 1973-1988? plzzzzz help

Answers

Subtract to find the difference in the amounts:

9.1 - 6.2 = 2.9

Divide the change by the starting amount:

2.9/6.2 = 0.46774

Multiply by 100 to get the percentage and round to the nearest tenth:

0.46774 x 100 = 46.8 %

Answer: 46.8%

Suppose A gas station monitors how many bags of ice they sell along with the maximum daily temperature for 100 days. A gas station data analysis plots the data in a scatterplot with temperature, in degrees Fahrenheit, on the horizontal axis and the number of bags of ice sword on the vertical axis. She calculates a linear correlation coefficient of r= 0.9972. The mean Temperature is 83.8959 degrees Fahrenheit with a standard deviation of 11.2921 Degrees Fahrenheit. The mean number of ice bags sold is 70.3873 with a standard deviation of 27.8 913.

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer :

a ≈ - 136

b = 2.46

Step-by-step explanation:

A) we apply the formula for slope in regression

b = r * [tex]\frac{Sy}{Sx}[/tex]   --------- ( 1 )

where:

standard deviation (Sy)  = 27.8913

standard deviation ( Sx ) = 11.2921

Linear correlation coefficient ( r ) = 0.9972

substitute given values into equation 1

b = 2.46

for intercept A

a = Y - b * X  --------- ( 2 )

Mean number of ice bags sold ( Y )= 70.2873

b = 2.46

Mean temperature ( X )= 83.8959

substitute given values into equation 2

a = 70.2873 - ( 2.46 * 83.8959 )

  = - 135.997

The equation y = 1.2x represents the rate, in beats per second, that Lee's heart beats. The graph represents the rate that Nancy's hear beats. Determine whose heart is beating at a faster rate.

Answers

Answer:

Nancy's heart rate is higher than Lee's heart rate.

Step-by-step explanation:

Equation for the heart beats of Lee is,

y = 1.2x

And the heart beats of Nancy is represented by the graph.

Higher the slope of the line = Faster the hear rate.

Slope of line represented by y = 1.2x,

m = 1.2

Similarly, slope of the line given in the graph = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                                                           = [tex]\frac{5}{4}[/tex]

                                                                           = 1.25

Since, slope of the line representing Nancy's heart rate is greater than slope of the line representing Lee's heart rate.

Therefore, Nancy's heart rate is faster than Lee's heart rate.

There were 5 boys for every 8 girls at Foster High School last year. If there were 390 students at the school, how many were girls and how many were boys?​

Answers

Answer:

it would be 150 boys and 240 girls

Step-by-step explanation:

Help me this is so hard I’ll give u brainlist

Answers

With what question may I ask cause they all have a circle on one

Answer:

I'm sorry, I speak Spanish, forgive me

+Given: AB ≅ AD and AB≅ AD AC≅ BD. Prove △BAE≅△DAE.

Answers

Answer:

Step-by-step explanation:

Given:

AB ≅ AD

AC ⊥ BD

To Prove:

ΔBAE ≅ ΔDAE      

                 Statements                        Reasons

1). AB ≅ AD and AC ⊥ BD             1). Given

2). AE ≅ AE                                   2). Reflexive property

3). ΔBAE ≅ ΔDAE                         3). HL postulate of congruence

Hi, this isn't a math question or anything. But I have a question about high schools. So I have all A's for my first marking period and one C for an enirchnment. But do you think I could get into a good high school like Central? Also, I'm not taking the PSSA or big tests. Also, I'm in 7th grade if your wondering.

Answers

Answer:

Depends on your GPA

Step-by-step explanation:

-12x+3y=24
1) y= -4x + 8
2) y= 4x - 8
3) y= 4x + 8
4) y = -4x -8

Answers

Here you go!! Hope this helps

-12x+3y=24

(get y alone on the left)

3y=12x+24

(divide by 3)

y= 4x+8

Tom has a fair spinner with six sides. They are labelled red, red, blue, green, red, blue. Choose the word that best describes the likelihood that the spinner will land on a colour not green.

Answers

Answer:

It is MOST LIKELY NOT going to land on green.

Step-by-step explanation:

Since the spinner has 6 sides, the total possible outcome is 6. There are 3 reds, 2 blues and 1 green.

The probability that the spinner will land on a green is [tex]\frac{1}{6}[/tex]. But since we are looking for the probability that it won't land on green, we have [tex]1 $-$ \frac{1}{6} = \frac{5}{6}[/tex]

From here we can best describe the likelihood that the spinner will land on a colour not green as: it is MOST LIKELY NOT going to land on green

Which equation would you use to find the value of x?

Answers

Answer:

The answer is C. (4x+12)+8x=180

Answer:

C

Step-by-step explanation:

alt. interior angles are congruent, so don't worry about y

also, because of alt. int. angles, we know that (4x+12)+8x=180

we can solve it by grouping like terms to get x=14

Plz I need help!!!!!!!!!!!!!!!!!!

Answers

Answer:

The correct answer is 2437.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Item 18
Write the word sentence as an equation. Then solve.

10 more than a number c is 3.

Equation:

Solution: c=

Answers

Answer:

I would say c is .3 . The equation is 3÷10

Step-by-step explanation:

because its saying c times 10 is 3 and the reverse of multiplication is division. So you divide 3 by 10 to find c Hope This helps!! C is 0.3

_________ 5) What is the average rate of change of the function g(x) = -2x +1 over the interval [5, 6]?

Answers

Answer:

-2

Step-by-step explanation:

They are asking for the slope. y2-y1/x2-x1

Make a table of results for the equation

x      y

5      -2(5)+1=-10+1=-9 Y1

6      -2(6)+1=-12+1=-11  Y2

-11--9=-11+9=-2

6-5=1

Average rate pf change os -2/1=-2

a que vista del solido corresponde la figura 2

Answers

Donde esta la foto para poder ayudarte ??

¿Dónde está la pregunta que estás haciendo? No veo opciones, amigo.


A train travels a total of 38 km at a constant speed of 90 km/h.
How long is its journey? Give your answer in minutes and seconds, to the nearest second. Pls Help Maybe I will give you brainiest

Answers

Answer:

25 minutes and 33 seconds

Step-by-step explanation:

please brainiest

What is the
proprtion?​

Answers

In mathematics, two varying quantities are said to be in a relation of proportionality, if they are multiplicatively connected to a constant; that is, when either their ratio or their product yields a constant. The value of this constant is called the coefficient of proportionality or proportionality constant.

f(x)=-**
x+2 and g(x)=-3x² - 7x+10
Some one help?

Answers

Huhhh how does that make sense

How can ΔABC be mapped to ΔXYZ? First, translate vertex A to vertex . Next, ΔABC to align the sides a

Answers

The correct answer is vertex B to vertex Y

What is transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

Given are two triangles ABC and XYZ.

We have AB = XY = 25 cm, AC = YZ = 29 cm

and also angle A = angle X = 36 degrees

Thus, we find that corresponding congruent sides are

AB and AC with angles A and X

To map ABC onto XYZ,

Vertex B to Y, side AB to side XY with AC coinciding with XZ

Now all vertices x, y, z will perfectly match with transformed ABC

Hence, The correct answer is vertex B to vertex Y

For more references on transformation, click;

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Answer:

x and rotate

Step-by-step explanation:

Madison is a high school basketball player. How many points would Madison score in a game if she made 8 free throws (worth one point each) and 6 three point shots?

How many points would Madison score in a game if she made x free throws and y
three point shots?

Answers

Answer:

26  and 1x+3y   on Delta math

Step-by-step explanation:

Explanation:

Each free throw scores 1 point, so 8 free throws would score 1\times 81×8 or 8 points. Each three point shot scores 3 points, so 6 three point shots would score 3\times 63×6 or 18 points. Therefore, the total number of points Madison would score is 26.

Answer:

3?

Step-by-step explanation:

7th grade math
I will give brainliest to right answer
6 = -4/5 s
what is the value of s

Answers

Answer:

[tex]\frac{-4}{5} s = 6\\-4s = 6*5\\-4s = 30\\s = \frac{30}{-4}[/tex]

s = 30/-4   or      -7.5

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