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.
can a pentagon be a cross section of a triangular prism?
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.
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.
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.
a metal block has the following dimensions height 2cm length 10cm width 5cm calculate the volume of the block
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!
Evaluate each expression
a. 2: 3 - 4
the distance between the pair of points (3,5) and (11,11)
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!
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?
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 :)
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?
Answer:
24
Step-by-step explanation:
Simplify this expression.
2^5(13 +12)
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
((3 + 3) 2· 3) - 3 2
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.
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)
1 27 points from 35 points.
Answer:
127 from 35
127 - 35
92
Step-by-step explanation:
Evaluate 7 + (-3x2) for x = 0.
-2
00
04
Steps to solve:
7 + (3x^2)
~Substitute
7 + 3(0)^2
~Simplify
7 + 3(0)
~Simplify
7 + 0
~Add
7
Best of Luck!
plssss answer asappp!!
Answer:
line k
Step-by-step explanation:
SInce line k is the one intersecting line RS.
Which type of map is this?
Answer:
goo
Step-by-step explanation:
XY = 5x, YZ = x, and XY = 25
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:
3(2x - 8) = 6 ????ii
Answer: Divide both sides by the numeric factor on the left side, then solve. x=5
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
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:
HELP asap pls
question in picture
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.
If f(x) = 4, then x
Answer:
x=4/f
Step-by-step explanation:
what is the gcf of 12a²,15a³,18a5
Answer:
[tex]3a {}^{2} [/tex]
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)
Answer:
|-7| - 7 = 0
2 |-7| = 14
( -7 )^2 = 49
-7^2 = 49
-7 -|-7| = -14
Step-by-step explanation:
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?
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.
help pls!!!how to solve it
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 ^^
What is 12.5×10 to the six power
Answer:
12500000
Step-by-step explanation:
Answer: the answer is 12500000
Step-by-step explanation:
HELP! this is due today
Answer:
2cm x 2cm x 2cm
∛8=2
Step-by-step explanation:
2cm x 2cm x 2cm
∛8=2
what is the variable in this expression? 9n-2 A)2 B) 9 C) N
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.
The product of two numbers is 37.03.If one number is 2.3,find the other.
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]
Solve the following expression for Y
3x + 4y = 12
Answer:
y=3
Step-by-step explanation:
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?
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.
Turn 15/4 Into a decimal show your work
Answer:
3[tex]\frac{3}{4}[/tex] / 3.75
Step-by-step explanation:
[tex]\frac{15}{4}[/tex]
calculate the value
3.75