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

Which of the following lists is in order from least to greatest?
V5.4,32,-2.
-2, 5, 4, 32
-2, 4, 3², 5
2, 32, 4, 5

Answers

Answer:

second one

Step-by-step explanation:

CL 2-125.
Explain what you are doing when you find the perimeter of a flat shape. How is that different than finding
its area?

Answers

Answer:

It is different because perimeter is the outside and area is the inside.

Step-by-step explanation:

In ΔXYZ the sides YZ = x, XZ = y, and YZ = z, and x>y>z. Which angle of the triangle can have measure of 60º?

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

In the query, there is an error. This will find Angle YXZ and the angle YZX.  

The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.

[tex]\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\[/tex]

[tex]\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}[/tex]

5:y in the equation given
below is called:
4 - 3y​

Answers

Answer:

variable

Step-by-step explanation:

Study circle C, where diameter AB is perpendicular to chord MN at point O.
The diagram as described in the text.


If MO = 5x − 7 and NO = 18, what is the value of x?
Enter the correct value.

Answers

Answer:

5

Step-by-step explanation:

Since a line splitting a chord that goes through the circle and is perpindicular to that chord is always the midpoint.

5x-7 = 18

5x  = 25

x = 5

The answer to question and to the value of x is 5

Graph f(x)=-2|x+4| khan academy

Answers

Answer:

Step-by-step explanation:

Answer:

Vertex: (-4,0); points down; y-intercept: -8

Step-by-step explanation:

Two groups are going on a trip to the theater. The first group has 30 students in for adult chaperones. The second group has 25 students in for adult chaperones. The cost, in dollars, for each student ticket, S, and each adult ticket, A, can be determined using the system of equations below

Answers

Answer:

$20

Step-by-step explanation:

Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations below.

30s+4a=720

25s+4a=620

What is the cost for each student ticket?

Solution:

30s+4a=720

(1)

25s+4a=620 (2)

Subtract (2) from (1)

30s - 25s = 720 - 620

5s = 100

Divide both sides by 5

s = 100/5

= 20

s = $20

Substitute the value of s into (1)

30s + 4a = 720

30(20) + 4a = 720

600 + 4a = 720

4a = 720 - 600

4a = 120

a = 120 / 4

= 30

a = $30

Each student tickets cost $20

can someone pls give me 2 mo brainlist

Answers

Answer:

i cant do dat because im broke sorry

Step-by-step explanation:

Can you mark me brainlist pls

A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a regular basis. Of the customers who get their hair cut, 24% also get their hair colored. What is the probability that a randomly selected customer gets their hair cut and colored?

0.10
0.21
0.35
0.40

Answers

Answer:

Okay so!

Step-by-step explanation:

for a cut that's .87 and for a color that is .24 so you multiply them together to get the probability for the color which is

.35 or C on edge

The probability that a randomly selected customer gets their hair cut and colored is .

What is probability?

Probability is the chance of happening an incident or event. A probability is calculated by the ratio of the possible outcomes to total number of outcomes.

Given, the probability of he customer get a hair cut is = P(A) = 87% = 0.87.

The probability of he customer get their hair colored is = P(B) = 40% = 0.4.

Therefore, the probability of a randomly selected customer get hair cut and hair color is = P(A) × P(B) = 0.87 × 0.4 = 0.35

Therefore, 35% of the total customer get hair cut and color.

Learn more about probability here: https://brainly.com/question/13700963

#SPJ2

6. Consider the inequality 12<-3 (x + 4). Which value of xis part of the solution set of this inequality?

Answers

Answer:

x < -8

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define inequality

12 < -3(x + 4)

Step 2: Solve for x

Distribute -3:                              12 < -3x - 12Add 12 to both sides:                24 < -3xDivide -3 on both sides:            -8 > xRewrite:                                      x < -8

Here we see that any value x that is smaller than -8 would work.

8% of $40 is $
plzzz help

Answers

Answer:

$3.2

Step-by-step explanation:

so there's a strategy to do this its very helpful!

100%-$40

8%-x

~cross multiply~

100x=320

÷100     ÷100

________________

x=$3.2

Hope this helps :D

You go to the carnival, and how much you spend can be written as .50r + 15, where r = rides. What can the 15 mean?? What does the 50 mean??​

Answers

Answer:

50 son las veses que me pasie, y el 15 son otras actividades que realice

Step-by-step explanation:

La r en ese lugar esta multiplicando al 50

Answer:

.50 means cost per ride and 15 ticket cost

Step-by-step explanation:

say there are 4 ride you want to go on, lets substitute r, rides, with 4

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so now we have 2 + 15

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I NEED HELP ASAP!!!!!

Answers

Step 2 16 + 15 is not 21

Answer:

x actually = 13 and its step 2

Step-by-step explanation:

Which of the following is the graph of the solution set of:
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I NEED HELP ASAP!!

Answers

See the graph lines.. notice since it’s < you need to use a dash line.

Please help me.......

Answers

Answer:

x=206

Step-by-step explanation:

Una antena de televisión será sujeta con un cable de 6 m de longitud de la parte superior de la misma, a una argolla que se encuentra en el piso de la azotea, con un ángulo de inclinación de 60° con respecto al piso, ¿qué longitud tiene la antena?

Answers

Answer:

5.196 m

Step-by-step explanation:

p = La perpendicular del triángulo es la longitud de la antena.

h = La hipotenusa del triángulo es la longitud del cable conectado a la parte superior del poste = 6 m

[tex]\theta[/tex] = Incline el cable con el suelo = [tex]60^{\circ}[/tex]

De las funciones trigonométricas sabemos que

[tex]\sin\theta=\dfrac{p}{h}\\\Rightarrow p=h\sin\theta\\\Rightarrow p=6\times \sin60^{\circ}\\\Rightarrow p=6\times\dfrac{\sqrt{3}}{2}\\\Rightarrow p=3\sqrt{3}\\\Rightarrow p=3\times 1.732=5.196\ \text{m}[/tex]

La longitud de la antena es 5.196 m.

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Answers

Answer:

1) not

2) QE

3) QE

4) QE

5) QE

6) QE

7) QE

8) not

9) QE

10) not

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Find the length of a rectangular lot with a perimeter of 144 m if the length is 6 m more than the width. A. 72m B. 39 m
C. 33 m
D. 78 m

Answers

Step-by-step-explanation
He did on D. 78 m

Jsjskksjmsmsms

Answer:

Correct Answer is B

39 m

Step-by-step explanation:

Perimeter is the sum of all sides, and if the length is 6m more than the width, then is 39

39 + 39 = 78

144 - 78 = 66

66/2 = 33

39m is 6m more than 33m.

The sum of all sides 39 + 39 + 33 + 33 = 144

I need 4 answers , The cost per pound of the apples on sale is $
.The cost per pound of the apples on sale is $___
.
You can buy
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Since 1 pound = 16 ounces, so there are about ___
apples in each pound.
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apples for $18.00.

Answers

I believe the answer would be 18 apples since 1 pound = $1

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Answers

Answer:

D.

Step-by-step explanation:

Answer:

the answer is d 64 because a rational number is a whole number not decimals.

Step-by-step explanation:

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There were 27 meeting rooms reserved for a workshop. Each room contained 134 chairs. How many total chairs were reserved for the workshop?

Answers

Answer: 3,618

Step-by-step explanation: You multiply 27 and 134 which equals 3,618.

Answer:

There were 3,618 chairs reserved for the workshop.

Step-by-step explanation:

134 chairs per 27 rooms

134*27 = 3,618

Round 5949.69836527 to the nearest hundredth.
rounding numbers

Answers

Answer:

It would be 5949.70

Step-by-step explanation:

The hundreds place is the first two number after a decimal point. In this case it would be 6 and 9. Now if were rounding to the hundredths, you would look at the number right after 9 to see if you could round up. That number happens to be an 8, and if that number is greater than 5, than it will round up the number before it. Now since 8 would round up nine, that would make it a 10, but that can not happen, so you would have to round up the first number as well, which would give you .70.

Answer:

5949.70

Step-by-step explanation:

Yes, I know this is a bagillion years late, but I was bored so I'm just answering random questions lol. Have a nice day :)

Find the slope of the line that goes through the points (5,11) and (13,9).

Answers

Answer:

-1/4

Step-by-step explanation:

using y2-y1/x2-x1, you can get 9-11/13-5, -2/8, which gives you a slope of m=-1/4

can someone help me with this?

Answers

Answer:

Step-by-step explanation:

If you write 1 instead of y, x would be 5/8 so ratio is 1/5:8=8/5

Guys can you plz help me Answer this QUESTION!!!!!!

Answers

Answer:

C - 9

Step-by-step explanation:

pls give branliest

BRAINLIEST TO WHOEVER ANSWERS FIRST!!
Which two statements, if true guarantee that is congruent to B?
Choose 2 answers
FGBF
DHBF
HIDH
HI FG

Answers

Answer:

HI FG

Step-by-step explanation:

To make a shade of paint called jasper green, mix 4 quarts of green paint with 2/3 cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?

Answers

Answer:

24 quarts of green paint

Cameron is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. Let C represent the total cost of the gym membership over t months. A graph of C is shown below. Write an equation for C then state the y-intercept of the graph and determine its interpretation in the context of the problem. C=? The y-intercept of the function is _____ which represents?

Answers

Answer:

C= 100+25t

Step-by-step explanation:

The y-intercept of the function is 100 which represents the one-time joining fee.

that is the correct answer, hope it helped!

The y-intercept of the function is 100 which represents a one-time fee to join.

Given that,
Cameron is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. Let C represent the total cost of the gym membership over t months.
The graph of the function C = 100 +25m is given,

What is the equation?

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
C= 100+25t
Where C represents the total charge,
t represents the number of months as of 25 per month,
And 100 represents the one-time chargeable fee to join.

Thus, the y-intercept of the function is 100 which represents a one-time fee to join.

Learn more about equations here:

brainly.com/question/10413253

#SPJ2


if you had two = five what would five + seven be

Answers

Answer:

14

Step-by-step explanation:

2 plus 5 plus 7

393.3 in 10 years investment

Answers

Step-by-step explanation:

The question is not well structured. We can say;

$393.3 in 10 years investment at rate of 10% is equivalent to what?

Given

Amount invested = $393.3 (principal)

Time = 10years

Rate = 10% (assumed rate)

Required

Amount after 10 years

Amount = Principal + Interest

First we need to get the simple interest using the formula

SI = PRT/100

SI = $393.3 * 10 * 10/100

SI = $393.3*100/100

SI = $393.3

Amount in 10years = $393.3 + $393.3

Amount in 10years = $786.6

Hence $393.3 in 10 years investment at rate of 10% is equivalent to $786.6.

Note that the rate was assumed. Any value of the rate can be used. Just employ the same calculation steps.

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