Answer:
College town race is 31% of the home town race.
Step-by-step explanation:
Length of hometown race = 3 miles
Length of college town race = 1492 meters
Since 1 meter = 0.0006214 miles
Therefore, 1492 = 0.93 miles
Percentage of college town race to the hometown race,
=
=
= 31%
Therefore, the college town race is 31% of the home town race.
The college town race is approximately 46.31% of the hometown race in length.
First, let's convert both race distances to a common unit of measurement. We'll convert the 2-mile hometown race to meters since the college town race is already in meters.
1 mile is approximately equal to 1609.34 meters. So, the 2-mile hometown race is:
2 miles * 1609.34 meters/mile = 3218.68 meters
Now, we can calculate the length ratio between the college town race and the hometown race:
College Town Race Length: 1492 meters
Hometown Race Length: 3218.68 meters
To find the percentage of the college town race length compared to the hometown race length, we can use the following formula:
(Length of College Town Race / Length of Hometown Race) * 100
(1492 meters / 3218.68 meters) * 100 ≈ 46.31%
So, the college town race is approximately 46.31% of the length of the hometown race.
To know more about percentage here
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Answer:
13 times
Step-by-step explanation:
4 * 13 is 52 and 55 - 52 is 3 if you add 4 to 52 it would be 56 not 55
How many additional wells should be drilled to obtain the maximum amount of oil per day?
Answer:
The additional wells for maximum amount of oil per day is 3 wells.
Step-by-step explanation:
Given;
initial number of wells, n = 6
total production, T = 1800
average production per well, = 1800/6 = 300 barrels per day
Let the additional well = y
total number of wells after optimization = 6 + y
new production per well = 300 - 25y
new total production = (6+y)(300-25y)
t = 1800 - 150y + 300y - 25y²
t = 1800 + 150y - 25y²
dt / dy = 150 -50y
for maximum value, dt/dy = 0
150 - 50y = 0
50y = 150
y = 150 / 50
y = 3
Therefore, the additional wells for maximum amount of oil per day is 3 wells.
By setting up the equation of the total daily oil production and finding its maximum, we learn that approximately 13 additional wells should be drilled to maximize the daily oil production.
To find out how many additional wells should be drilled to obtain the maximum
amount of oil
per day, we must firstly set up an equation to represent the situation. The total daily oil production is equal to the number of wells multiplied by the daily production per well. Given the conditions in the question, we can express this as:
Total daily oil production = (6 + x) * (1800 - 25x)
where x represents the number of additional wells that should be drilled. In order to find the maximum of this function, we would have to differentiate this equation and set the derivative equal to 0 then solve for x. This would be up to the individual's level of mathematical experience. However, one can use a financial calculator or a graphic calculator to find the maximum and get approximately 13 additional wells.
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b) some Calculus?
c) no more than one semester of Calculus?
Answer:
a) There is a 13% probability that a student has taken 2 or more semesters of Calculus.
b) 45% probability that a student has taken some calculus.
c) 87% probability that a student has taken no more than one semester of calculus.
Step-by-step explanation:
We have these following probabilities:
A 55% that a student hast never taken a Calculus course.
A 32% probability that a student has taken one semester of a Calculus course.
A 100-(55+32) = 13% probability that a student has taken 2 or more semesters of Calculus.
a) two or more semesters of Calculus?
There is a 13% probability that a student has taken 2 or more semesters of Calculus.
b) some Calculus?
At least one semester.
So there is a 32+13 = 45% probability that a student has taken some calculus.
c) no more than one semester of Calculus?
At most one semester.
So 55+32 = 87% probability that a student has taken no more than one semester of calculus.
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
Number of Miles Driven in a Week:
Person Hurry and answer need a answer right at this moment
Miles
Annabelle 24
Scarlett
56
Daniel
40
Kylie
8
For every
y miles Annabelle drove, Daniel drove miles.
Submit Answer
Answer:
I think it's 1.67 miles
Step-by-step explanation:
24:40
1 /24 = x/40
24x/24 = 40/24
1 = 1.67 miles
I hope this helps?
For every 1 mile Annabelle drove, Daniel drove 1.67 miles.
I may be wrong.
Probably am...
Answer:
x = 16
Step-by-step explanation:
Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:
51 + 65 + 4 x = 180
combine and solve for "x"
116 + 4 x = 180
4 x = 180 - 116
4 x = 64
x = 64 / 4
x = 16
Answer:
x = 16
Step-by-step explanation:
A triangle is 180 degrees. Since two of the angles are congruent to each other, the third angle must be congruent as well. This means that the third measure for both triangles is 4x. Knowing all of this, we can solve for x:
65 + 51 + 4x = 180
116 + 4x = 180
4x = 64
x = 16
Answer:
The exponent is positive, and the exponent is 12
Step-by-step explanation: