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

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

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

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

Answers

Answer:

13 i think

Step-by-step explanation:

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


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

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;

https://brainly.com/question/11709244

#SPJ6

Answer:

x and rotate

Step-by-step explanation:

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.

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:

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%

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

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:

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

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

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

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

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.

_________ 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

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

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.

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

Answers

Answer:

The correct answer is 2437.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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

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.

+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

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.

To solve more questions on distances, visit the link below -

brainly.com/question/30215119

#SPJ6

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

Answers

Huhhh how does that make sense

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

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

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