A water well drilling rig has dug to a height of -60 ft after one full day of continuous use.

a. Assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours?

b. If the rig has been running constantly and is currently at a height of -143.6 ft, for how long has the rig been running? explain

Answers

Answer 1

There are 24 hours in a day and so 15 hours is 15÷24=58 of a day. Since the rig drills 60 feet underground in a day, in 58 of a day it will drill

(58 days)×(60feetday)=3008 feet.

So the rig will have drilled 3008=37.5 feet underground in 15 hours.

The rig drills 60 feet underground per day so to find how long it has been running to go 143.6 feet underground, we need to calculate

(143.6 feet)÷(60feetday)=143.660 days.

This is about 2.4 days. Alternatively, it is 57.44 hours

We know that the rig drills at a constant rate, so there is a proportional relationship between the two quantities d, the height to which the drill has dug, and t, the number of days the drill runs. It drills at -60 feet per day, so we can represent this relationship with the equation:

–60t=d

Since 15 hours is 1524=58 days, we can use the equation to find d:  

–60⋅58=d

Since the depth is the same whether we think of it as a positive depth below the surface or a negative height above the surface, we can find this value by multiplying 60⋅58=37.5  and then noting that the sign must be negative if we are representing positions below the surface of the earth by negative numbers. So d=–37.5 and the drill will be at height -37.5 feet after 15 hours.

Likewise, if we know the drill has dug to -143.6 feet, we can use the equation again, this time to find t:  

−60t=−143.6

so t=(−143.6)÷(−60). Since the amount of time would be the same if we were working with positive feet below the surface of the earth and a drill rate of 60 feet per day below the earth surface, we can find this value by dividing 143.6÷60, which is about 2.4 days.


Related Questions

Solve the following expression for Y
3x + 4y = 12

Answers

Answer:

y=3

Step-by-step explanation:

Which type of map is this?

Answers

Answer:

goo

Step-by-step explanation:

The product of two numbers is 37.03.If one number is 2.3,find the other.​

Answers

Answer:

16.1

Step-by-step explanation:

37.03/2.3 = 16.1

Answer:

[tex]\boxed{\bold{\huge{\boxed{16.1}}}}[/tex]

Step-by-step explanation:

Let the first number be x and the second number be y

So, the condition is:

[tex]x * y = 37.03[/tex]

Given that x = 2.3

[tex]2.3 * y = 37.03[/tex]

Dividing both sides by 2.3

[tex]y = \frac{37.03}{2.3}[/tex]

[tex]y = 16.1[/tex]

plssss answer asappp!!

Answers

Answer:

line k

Step-by-step explanation:

SInce line k is the one intersecting line RS.

gift ond Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?​

Answers

Answer:

24

Step-by-step explanation:

a metal block has the following dimensions height 2cm length 10cm width 5cm calculate the volume of the block

Answers

Answer:

100cm^3

Step-by-step explanation:

The volume of any cube or cuboid is calculate by simply multiplying the length by the width by the height.

So if our length is 10cm, our width is 5cm and our height is 2cm, then our volume is 10x5x2=100cm^3 (cubic centimeters-unit for volume.)

Hope this helped!

What is 12.5×10 to the six power

Answers

Answer:

12500000

Step-by-step explanation:

Answer: the answer is 12500000

Step-by-step explanation:

1 27 points from 35 points.

Answers

Answer:

127 from 35

127 - 35

92

Step-by-step explanation:

can a pentagon be a cross section of a triangular prism?

Answers

Answer:

No, a pentagon can NOT be a cross-section of a triangular prism.

Step-by-step explanation:

Prisms have a uniform cross-section and are named after their cross-section. Hence, the cross section of a triangular prism is a triangle. The only prism with a pentagon cross-section is a pentagonal prism.

HELP! this is due today

Answers

Answer:

2cm x 2cm x 2cm

∛8=2

Step-by-step explanation:

2cm x 2cm x 2cm

∛8=2

answers to every blank space is 2

help pls!!!how to solve it​

Answers

Answer:

q = 5/6

Step-by-step explanation:

First, we distribute.

16q - 10 = 4q

Then, we combine like terms.

-10 = 4q - 16q

-10 = -12q

Finally, we divide -12 on both sides.

5/6 = q, or q = 5/6

Hope this helps ^^

Jose went to a local electronic store. He found a 45 inch television that cost $255. He asked the store manager if he could give him a discount. The manager agreed to deduct 1/4 off the price of the television. How much money did Jose pay for the television?

Answers

Answer:

he paid 168.75

Step-by-step explanation:

multiply 225 by .25 and you would get 56.25 and then subtrsct that from 225 and you would get your answer od 168.75

Answer:

191.25

Step-by-step explanation:

just look up 1/4 of 255 and you get 63.75. Now remove that from 255 and you get your answer.

Evaluate each expression
a. 2: 3 - 4

Answers

-1 it’s just 4-3 but add the negative

Simplify this expression.
2^5(13 +12)

Answers

Answer:

800

Step-by-step explanation:

You do 2 to the 5 power, which equals 32. Then add 13 and 12 to get 25. Then multiply 32 and 25 to get 800

Jen is investigating a quadratic function g(x). She writes four different forms of the function, as shown below. Select the form that reveals the maximum value of g(x) without having to be rewritten.

Answers

Answer:

A

Step-by-step explanation:

Since the coefficient of the x² term is negative (we know this because if you look at C, the coefficient of x² is -2, which is negative) we know that the vertex will be the maximum. To find the vertex without having to be rewritten, a quadratic function should be written in vertex form which is y = a(x - c)² + d where (c, d) is the vertex. The answer choice that is written in vertex form is A.

HELP asap pls
question in picture


Answers

Answer:

The low is -13 degrees Fahrenheit. The high is 109.4 or 109 2/5 degrees Fahrenheit.

Step-by-step explanation:

To get the low you plug -25 in for C(Celsius) and then you solve for F. First you can multiply both sides by nine. Second you need to distribute the 5, and this will give you 5F-160. Next add 160 to both sides, and now you should have, -65 = 5F. And finally you divide both sides by five to get a final answer of F = -13. To get the high follow these steps again, except this time plug in 43 for C.

what is the gcf of 12a²,15a³,18a5​

Answers

Answer:

[tex]3a {}^{2} [/tex]

Turn 15/4 Into a decimal show your work

Answers

Answer:

3[tex]\frac{3}{4}[/tex] / 3.75

Step-by-step explanation:

[tex]\frac{15}{4}[/tex]

calculate the value

3.75

ANSWER : 3.75
You divide the nominator by 15 by the denominator 4 using a calculator.
15 divide by 4 = 3.75

the distance between the pair of points (3,5) and (11,11)

Answers

Formula: d = √(x2-x1)²+(y2-y1)²

d = √(11-3)²+(11-5)²

d = √8²+6²

d = √64+36

d = √100

d = 10

Best of Luck!

Distance 10
Midpoint (7,8)
Slope 0.75
X intercepts -3.67
Y intercept 2.75

Distance math stuff at the bottom (picture)

Describe the pattern that you see. In your description, include the shapes that create the pattern. You can also mention colors. What is the first term (how does the pattern start)? How does the pattern change with each term? What would the next term in the sequence (pattern) be?

Answers

Answer:

Picture 1 has 5 green squares.  It is one square with a square coming out from each corner.  Picture 2 adds an additional square extending out from each corner square, making a total of 9 squares.  This pattern continues, adding 4 green squares total each time.  This means Picture 3 has 13 squares, Picture 4 has 17 squares, and Picture 5 will have 21 green squares.

Step-by-step explanation:

Picture one has 5 green squares.  It is one square with a square coming out from each corner.  Picture 2 adds an additional square extending out from each corner square, making a total of 9 squares.  This pattern continues, adding 4 squares total each time.  This means Picture 3 has 13 squares, Picture 4 has 17 squares, and Picture 5 will have 21 squares.

Simplify the following numerical expressions.

Choose from the numbers in parentheses

|-7| - 7 =
<
2 |-7| =
( -7 )^2 =
<
-7^2 =
>
-7 -|-7| =
(-49) (14) (-14) (0) (49)

Answers

Answer:

|-7| - 7 =  0

2 |-7| =  14

( -7 )^2 =  49

-7^2 =  49

-7 -|-7| =  -14

Step-by-step explanation:

XY = 5x, YZ = x, and XY = 25

Answers

Answer:

x=5

Step-by-step explanation:

XY=5x and 25. Therefore, 5x and 25 have the same value. 5 times 5 is 25 so x=5

Answer: 6x=25

Step-by-step explanation:

Kaya rented a limousine for prom. The company charges a cleaning fee of $100 and an hourly rate of $45. Her total cost for the night was $437.50. For how many hours did Kaya rent the limousine?

Answers

Answer:

Number of hours= 7.5

Step-by-step explanation:

Giving the following information:

The company charges a cleaning fee of $100 and an hourly rate of $45.

Her total cost for the night was $437.50

First, we need to structure the total cost formula:

Total cost= 100 + 45*x

x= number of hours

437.5= 100 + 45x

337.5/45= x

x= 7.5

Number of hours= 7.5

Answer:

Kaya rented the limo for about 7.5 hours

                  Hope this helps! good luck :)

3(2x - 8) = 6 ????ii

Answers

Answer: Divide both sides by the numeric factor on the left side, then solve. x=5

what is the variable in this expression? 9n-2 A)2 B) 9 C) N

Answers

Step-by-step explanation:

The variable is n, which can have different values. 9 is the coefficient of the variable term and -2 is the constant term

Answer:

C)N.

Because variables represent an unknown number.

If f(x) = 4, then x

Answers

Answer:

x=4/f

Step-by-step explanation:

((3 + 3)​ 2​· 3) - 3​ 2

Answers

Answer:

The answer is 4

Step-by-step explanation:

Hope this answeris helpful...

Make me as brainliest...

Find the distance between each pair of points. Round to the tenths place.

Answers

Answer:

12.0

Step-by-step explanation:

Given the two points shown on the graph above, assuming 1 unit = 1 box, the coordinates of the two points are: (2, 7) and (-6, -2)

Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2} [/tex], to find the distance between points (2, 7) and (-6, -2)

Let,

[tex] (2, 7) = (x_1, y_1) [/tex]

[tex] (-6, -2) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(-6 - 2)^2 + (-2 - 7)^2} [/tex]

[tex] d = \sqrt{(-8)^2 + (-9)^2} [/tex]

[tex] d = \sqrt{64 + 81} = \sqrt{145} = 12.0 units [/tex] (nearest tenth)

Evaluate 7 + (-3x2) for x = 0.
-2
00
04

Answers

Steps to solve:

7 + (3x^2)

~Substitute

7 + 3(0)^2

~Simplify

7 + 3(0)

~Simplify

7 + 0

~Add

7

Best of Luck!

The volume of a cube is 27 n Superscript 27cubic units. What is the length of one side of the cube?
3 n cubed units
3 n Superscript 9 units
27 n cubed units
27 n Superscript 9 units

Answers

Answer:

B. 3 n[tex]9[/tex]

Step-by-step explanation:

I took the test and got it right.

Answer:

the person above me is correct

Step-by-step explanation:

Other Questions
A student has some $1 and $5 bills in his wallet. He has a total of 19 bills and that are worth $55. how many of each type of bill does he have Which elements were part of a typical Mississippian culture? Check all that apply 3. Name three of the United States' twelve major cultural regions? 15. The process by which we "look in the mirror" to see ourselves as cultural beings is known as _____. If an X-ray tube is operating at a current of 30.0 mA:a) How many electrons are striking the target per second? b) If the potential difference between the anode and cathode of this tube is 100.0 kV, how much power is expended A customer wants you to enlarge a photo to 2 3 4 234 its current height. The photo's current height is 3 1 4 314 inches. What should its enlarged height be, in inches? 6 6 3 16 6316 6 11 16 61116 7 8 15 16 PLEASE HELP!! costsbrain teaser Benjamin Franklin drew this cartoon in 1754. What does each part of the snake represent? Sam has 106 dollars. And his friend Max has 10 times as many dollars as Sam does. How much does Max have? Which factor of production includes the human activity that provides goods or services? Group of answer choices Labor Land Capital Value A rectangle length is 5 more than its width. If the premiditer of the rectangle is 66 inches, what is the length of the rectangle Identify from the following list which examples are controlled experiments. You make two pitchers of lemonade and only change the amount of lemonade mix you add. only change the amount of water you add. change both the amount of water and the amount of lemonade. Two trains traveling towards one another on a straight track are 300m apart when the engineers on both trains become aware of the impending Collision and hit their brakes. The eastbound train, initially moving at 97.0 km/h Slows down at 3.50ms^2. The westbound train, initially moving at 127 km/h slows down at 4.20 m/s^2. What is the distance between them once they stop (express your answer to the two significant figures) diploid cell that contains three pairs of chromosomes designated AA , BB, and CC. Each pair contains a maternal and a paternal member (e.g., Am and Ap, etc.). *In mitosis, what chromatid combination(s) will be present during metaphase I'm having trouble changing my google account password I tried to contact Google account recovery for can't change my password I tried to verify Google with my phone I used phone password and my fingerprint to let google verify me and keep making same pages both ways didn't work but I really need this account well its actually my school account and I keep reveive this message:contact your domain for your help and only option had is learn more or go back only way to fix this problem is create account ,contact google account recovery ,delete my school account but deleting my school account requires to enter my google account password what should I do please help me !!!!!! Walter is observing a substance that is currently a solid. What would have tooccur for the substance to become a liquid? why is diction important What's the difference between 9 times a number and 4 in an algebraic expression. Identify the antecedent for the pronoun in the following sentence. Derek wanted to buy a nice present for his aunt. The part of your brain that controls your heart and lungs is the cerebellum. true or false