A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is 63 1/4°F. The submarine dives down 115 feet deeper, and the water temperature drops by 2 1/5 °F. What were the elevation and the water temperature after the submarine dove? Assume that sea level is at 0 feet of elevation.

Write an expression to represent the water temperature after the submarine’s final dive. Then simplify the expression to find the temperature.

Answers

Answer 1

Answer:

At the elevation 617.5 feet below the sea level temperature of the water was 61\frac{1}{20}°F

Step-by-step explanation:

At 502.5 feet below the sea level temperature of the water is 63\frac{1}{4}°F

When submarine dives down 115 feet deeper, water temperature drops by 2\frac{1}{5}°F

Elevation after the submarine dove = -502.5 - 115 = -617.5 feet

This negative sign represents the elevation below the sea level.

And the temperature will be = 63\frac{1}{4}-2\frac{1}{5}

                                              = \frac{253}{4}-\frac{11}{5}

                                              = \frac{1265-44}{20}

                                              = \frac{1221}{20}

                                              = 61\frac{1}{20}°F

Therefore, at the elevation 617.5 feet below the sea level temperature of the water was 61\frac{1}{20}°F

Answer 2

The required expression is y = 0.01x +  58.2. Where, x = level of sea and y = temperature. At 115 feet deeper temperature is 61 1/4°F.


A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is 63 1/4°F.

What are functions?

It is the relationship between sets of values. e g y=f(x),

Here, assume that relation ship between temperature and sea level is linear. So the expression can be calculated as  y = - 0.01x +  58.2.
Since at 115 feet deeper from 502.5 temperature-
total sea level; = 502.5+115
                      = 617.5
Put it in expression
y = -0.01 * 617.5 + 68.2
y = 61.25
y = 61 1/4 °F

Thus, the required expression is y = 0.01x +  58.2. Where, x = level of sea and y = temperature. At 115 feet deeper temperature is 61 1/4°F.

 

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Related Questions

Use the data in the table to find the rate of change in the length of baby girl Grace. (2 points)

Answers

Answer: Baby Girl Grace grows 3/4 inch every month.

Step-by-step explanation:

Y= (y_2 - y_1)/ (x_2 - x_1)

Y= (29-26)/(16-12)

Y= (3/4)

The rate of change of height of baby girl is 0.75 inches per month.

What is Rate of change?

A value that results from dividing the change in a function of a variable by the change in the variable velocity is the rate of change in distance with respect to time.

Here, from the given table;

At 4th month,               the length of baby girl = 20 inches

at  30th month,             the length of baby girl = 39.5 inches

x₁ = 4,        y₁ = 20

x₂ = 30      y₂ = 39.5

Now,

Rate of change of height = (y₂-y₁) / (x₂ - x₁)

                                           = (39.5 - 20) / (30 - 4)

                                           = 19.5 / 26

                                           = 0.75

Thus, the rate of change of height of baby girl is 0.75 inches per month.

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Write the reciprocal of the following numbers.



7 over 10

Answers

Answer: - 10 over 7

Step-by-step explanation:

Answer:

when you reciprocate 7/10 it becomes 10/7

Quadrilateral PQRS is plotted in the coordinate plane. The quadrilateral is dilated by a scale factor of 2/3 to create quadrilateral P’Q’R’S’. Write three statements that compare quadrilateral PQRS and quadrilateral P’Q’R’S’.

Answers

Answer:

They are similar to each other.They are not congruent.the surface area is different for each one.

Step-by-step explanation:

Q -> Q'    (-3,4) -> (-2,2.666666)

              -3*2/3=-2      [tex]4*\frac{2}{3} = 2\frac{2}{3}[/tex]

P -> P'    (-5,1) -> (-3.333333, .666666

              [tex]-5 *\frac{2}{3} = -3\frac{1}{3}[/tex]         [tex]1*\frac{2}{3} = \frac{2}{3}[/tex]

R -> R'    (-3,-3) -> (-2,-2)

               [tex]-3*\frac23 = -2[/tex]

S -> S'     (-5,-1) -> (-3.333333,-.666666)

              [tex]-5*\frac23 = -3\frac13[/tex]   [tex]-1 *\frac23 = -\frac23[/tex]

Here is the pic for the question, please respond.

Answers

1 gig= $4 each gigabyte costs 4 dollars
1 gig=$4 so 4 dollars

PLEASE HELP!!!! URGENT!!! THIS IS DUE TODAY AND I CAN'T FIGURE IT OUT FOR THE LIFE OF ME!! FIRST ANSWER WILL GET BRAINIEST!!!

The table shows the amount of money, A, in a savings account after m months.
Select all the equations that represent the relationship between the amount of money, A, and the number of months, m.​

Answers

Answer:

E and G

Step-by-step explanation:

just plug in the numbers for A and M

Answer:

I believe it's E & G.

A ribbon is 5 4/5 yards long. Mae needs to cut the ribbon into pieces that are 4/5 of a yard long. How many pieces of ribbon can she cut?

Answers

The answer is 7 pieces.

If you divide 5.80 (5 4/5) by 0.80 (4/5), you get 7.25. Since Mae probably doesn't want to use a piece of ribbon smaller than the others she will only cut 7 pieces.  

Answer:

7

Step-by-step explanation

5 4/5 = 5/5, 5/5, 5/5, 5/5, 5/5, 4/5

so five 5/5 - 1/5 each = 4/5, 4/5, 4/5, 4/5, 4/5 so we now have five 4/5 + the 4/5 we had at the beginning so we have six 4/5 then add all of the 1/5 we took away from all of the 5/5 so 1/5 x 5 = 5/5 = 4/5 Remainder 1/5 so we now have seven 4/5 and an extra 1/5

so, in conclusion, Mae can cut seven pieces of ribbon.

J'espère que cela aide : )

Serena is building a bookcase. She cuts two pieces of wood from one board. One piece is 1 7/8 feet long and another is 3 1/2 feet long. What is the total change in the length of the original board?

Answers

Answer:

43/8 feet

Step-by-step explanation:

The total change is the sum of the length of two boards she cut.

First board length is 1  7/8th feet. Let's change to improper fraction:

1 7/8 = 15/8 feet

Second board lengrh is 3.5 feet, or 3  1/2 feet. Let's change to improper fraction:

3  1/2 = 7/2 feet

Let's add the two:

The change in original board is 43/8 feet

I need help with my problem plz help me ASAP now now now now your suck ballhairs

can someone help me asap plss

Answers

Answer:

1. 200 inches; 2. 12 feet

Step-by-step explanation:

needed ASAP so i don't want to waste too much time.

Which list shows all the factors of 28?

1, 4, 7, 28
1, 2, 4, 7, 14, 28
1, 2, 4, 6, 14, 28
1, 4, 6, 28

Answers

Answer:

Hope this helps

Also its the second one

Answer:1, 2, 4, 7, 14, 28

Step-by-step explanation:

Please help me this is part of my grade and its really important! I’m very serious i dont want people answering nothing for points- i really need help. PLEASE give me right answers :(

Answers

Answer:

Step-by-step explanation:

74,000,000 = 7.4x10^7

.0000625 = 6.25x10^-5

18,000 = 1.8x10^4

.00009 = 9x10^-5

3,728,000 = 3.728x10^6

.0011 = 1.1x10^-3

Answer:

A. 7.4*10 to the 7th power

B. 6.25*10 to the -5th power

C. 1.8*10 to the 4th power

D. 9*10 to the -5th power

E. 3.728*10 to the 6th power

F. 1.1*10 to the -3th power

Step-by-step explanation:

The graph below represents the height of a golf ball in feet as a function of the elapsed time since it was hit. The golf ball was in the air for 4 seconds.
What are the domain and range of the representative function?
A)Domain: 0 ≤ x ≤ 4
Range: 0 ≤ y ≤ 80
B)Domain: 0 < x < 80
Range: 0 < y < 4
C)Domain: 0 < x < 4
Range: 0 < y < 80
D)Domain: 0 ≤ x ≤ 80
Range: 0 ≤ y ≤ 4

Answers

Answer:

It´s A

Step-by-step explanation:

You can eliminate B and D because the ¨x¨  would be 4 not 80 because it´s on the x-axis not on the y-axis. Secondly whenever you have a graph you need to have the less than or equal to sign with the line under.

Hope this helps :)

The domain and range of the representative function should be option A. Domain: 0 ≤ x ≤ 4

Range: 0 ≤ y ≤ 80

What are domain and range?

The domain of a function represent the set of values that should be permitted for putting into the function. In this set, the x values in the function like f(x). Here the range of the function represent the amount set where the function should be presumed.

Therefore, based on the given graph the correct option is A.

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Luisa ate 3 ounces of pretzels.

The pretzels she ate contained
grams of protein.

Answers

Luisa ate 8.79 grams of protein

do mind if you put the answers to that box where you can pick a word?

and then i well help you as much as i can

please help as soon as you know it the answer

Answers

Answer:

A

Step-by-step explanation:

When solving the inequality u have to sometimes change the sign it depends on the value of the number or answer.

HOPE THIS HELPS!

When you answer the question could you also put how you did it! That will be a lot of help!

Answers

Answer:

14.99

Step-by-step explanation:

Cone volume formula is V=Pi(r^2)(h/3)

3,077.2(3)/(pi)(14^2)

I just need to answer questions to ask my own

What is the total surface area of the right regular pyramid with a square base?

Answers

Answer:

106ft by 2

Step-by-step explanation:

Answer:

106 ft

Step-by-step explanation:

The value of y varies directly with x. When y=2 2/5, x=3/5.
What is the value of y when x is 4/5?

A. 1 2/5

B. 3 3/5

C. 3 1/5

D. 5 1/5

Answers

You answer most likely be C
It is probably C because x is x aksjnskajxnaksjjakss

12=3x-6
a.18 b.6 c.3 d.-6

16=4x+8
a.1/2 b.4 c.2 d.6

4z+8=40
a.10 b.4 c.8 d.28

5x-7=38
a.5 b.6 c.14 d.9

-3x-9=24
a.11 b.-11 c.5 d.-5

Answers

Answer: 1 is b

2 is c

3 is c

4 is d

5 is b

Answer:

12=3x-6 is 6

16=4x+8 is 2

4z+8=40 is 8

5x-7=38 is 9

-3x-9=24 is -11

Step-by-step explanation:

for 12=3x-6 you would get x by itself so first you add the 6 to the 12

you get 18 then you try to get the x by itself so you divide 3x by 3 and divide 18 by 3 as well. So you end up with 6=x. Repeat with every problem

The adult skeleton consists of 206 bones. There are 28 bones in the skull and 30 bones in the arms and legs. Out of the 28 skull bones, 14 are facial bones, 6 are ear bones and 8 are cranial bones. How many more bones are there in the arms and legs than in the face?

Answers

Answer:

16 more bones are in the arms and legs than in the face.

Step-by-step explanation:

30 - 14 = 16

16 more bones are in arms then legs

I KEEP REPOSTING THIS QUESTION BECAUSE NO ONE IS HELPING ME
Jennifer’s bank account is modeled by the following equation where x equals the number of weeks and
f(x) equals the total balance.
f(x) = 12x + 45
william's bank account balances after weekly deposits are showing in the following table.
After 10 weeks, how much money would William have in his bank account? Show your work.

Answers

Answer:

f(x)=10x+5

Step-by-step explanation:

Answer:

$140

Step-by-step explanation:

The answer is $140 because the rate of change (slope) is 14 dollars a week. All you have to do is multiply $14 by the number of weeks (14 x 10) and you'll get $140 in William’s bank account after 10 weeks.

Find the equation of the line USE EXACT NUMBERS
Y=____ X+____

Answers

Answer:

Slope: rise/run

          = 5/5

          = 1

Y-intercept:  -5

SLOPE INTERCEPT FORM:

y = 1x-5

The equation of line is y = 1 x + ( -5 )

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept.

And y - y₁ = m ( x - x₁ )

y = y coordinate of second point

y₁ = y coordinate of point one

m = slope

x = x coordinate of second point

x₁ = x coordinate of point one

Given data ,

y intercept b = - 5

Slope m = Rise / Run

              = 5 / 5

              = 1

The equation of line is y = mx + b

Therefore , y = x - 5

Hence , the equation of line is y = 1 x + ( -5 )

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There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total.

1.) How many nickels, dimes, and quarters are in the piggy bank? Explain your reasoning.

2.)How much are the coins in the piggy bank worth?

Answers

Answer:

1) 100 dimes, 150 nickels, 250 quarters.

2) $80

Step-by-step explanation:

The questions are on the pictures ( I’m sorry there are so much pictures I couldn’t make the page smaller) :(

Answers

Answer:

9. A

10. D

11. True

Step-by-step explanation:

I might be incorrect sorry :(

Answer:

i think the person that answered first is correct

Step-by-step explanation:

-43+51 rlly need help

Answers

Answer:

8

Step-by-step explanation:

can i have branliest?

Answer:8

Step-by-step explanation:If there is a -43 you just minus and ignore the +

What does it mean to use context clues?

Answers

Answer:Context clues are hints found within a sentence, paragraph, or passage that a reader can use to understand the meanings of new or unfamiliar words.

Step-by-step explanation:

Step-by-step explanation:

Context clues are hints found within a sentence, paragraph, or passage that a reader can use to understand the meanings of new or unfamiliar words.

I need help and im mad beacuse i didnt get to get out the house because im stuck on this

Answers

Answer:

10 inches

Step-by-step explanation:

PLZZ HELP THIS DUE TODAY AND I STRESSING OUT PLEASE SOMEONE HELP PLZ DON'T SPAM PLZ THS DUE RIGHT NOW PLZZ!!!
1. What two directions could point B be located related to point A? Write two equations to represent the possible locations of point B or in other words, how did you travel to point B. Make a conclusion about the sums in relation to the integers in the equations on the next slide.

2. Explain How you could use absolute value to show that -4+3 and 3+(-4) have the same value. Which property of addition states that these sums are equivalent?


3. You know that the sum of -5 and another integer is a positive integer. What an you conclude about the sign of the other integer? What can you conclude about the value of the other integer?Explain.

4. Jim is standing beside a pool. He drips a weight from 4 feet above the surface of the water in the pool. The weight travels a total distance of 12 feet down before landing on the bottom of the pool. Explain how you can write a sum of integers to find the depth of water.

Answers

Answer:

1 im not 100% on this one but b could be a horizontal reflection or a vs vertical reflection

2 The absolute value of a number is its distance from zero on the number line. Therefore, -4+3 is 4+3, and the absolute value of 3+(-4) is also 4+3.

Step-by-step explanation:

2 The absolute value of a number is its distance from zero on the number line.  Therefore, the absolute value of 3 is 3, and the absolute value of -3 is also 3.  A positive number and its negative have the same absolute value.  It is symbolized as |x|, and |-x| has the same value.

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Horizontal reflection

You moved the decimals three places to the right when you "forgot" the decimals. How many places to the left should you move the decimal point in the answer?

Answers

Step-by-step explanation:

shouldnt it be 3

move the decimal 3 places

Julio bought 3/5 pound of potato salad for dinner. Wilma bought 5/4 the amount of potato salad that Julio did. How much potato salad did Wilma buy?

Answers

1/5 I think but I’m not sure

Answer:

1/5

Step-by-step explanation:

GOOD LUCK :3

Which best represents the square root of 361

Group of answer choices

-19 and 19

-18 and 18


1 and 361

4 and 64
PLZZ will give brainlist to the first

Answers

Answer:

Its a,c but they did it first

Step-by-step explanation:

Find the value of x in the triangle below.

Answers

Answer:

x = 50°

Step-by-step explanation:

Sum of Angles in a Triangle: 180°

All angles in a triangle must add up to 180°.

Step 1: Set up equation

x + 70° + 60° = 180°

Step 2: Solve for x

Combine like terms: x + 130° = 180°Subtract 130 on both sides: x = 50°

Answer:

50°

Step-by-step explanation:

Step 1:

x + 70° + 60° = 180°       Sum of a Δ

Step 2:

x + 130° = 180°         Combine Like Terms

Step 3:

x = 180° - 130°       Subtract 130° on both sides

Answer:

x = 50°

Hope This Helps :)

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