The surface of Grand Lake is at an elevation of 648 ft. During the current drought, the water level is dropping at a rate of 3 inches per day. If this trend continues write an equation that gives the elevation in feet of the surface of Grand Lake after x days.
Answers
Final answer:
The equation representing the elevation of Grand Lake after x number of days, given a decrease of 3 inches per day, is Elevation = 648 - 0.25x, where 0.25 is the daily loss rate in feet and x represents the number of days.
Explanation:
The subject of this question is the application of linear equations to real-world problems, specifically in the context of environmental changes. Given the initial elevation of Grand Lake and the daily rate of water level decrease, we can write an equation that represents the elevation of the lake's surface after x days.
The initial height of the lake is 648 feet. Every day, the lake elevation drops by 3 inches. However, our rate is given in inches and the initial elevation is in feet. We should convert the rate from inches to feet. Since there are 12 inches in a foot, 3 inches is equal to 3/12 = 0.25 feet.
So after one day, the lake would be at 648 - 0.25 = 647.75 feet. After two days, the lake would then be at 648 - 2(0.25) = 647.50 feet, and so on. In general, after x days, the elevation of the lake would be 648 - x(0.25)
Therefore, the equation we are looking for is: Elevation = 648 - 0.25x
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Answers
The solution is, the equations of line passes through two points:(1,130), (10.149) is:
149=19/9 (10) +b
130=19/9(1)+b
What is a straight line?
A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
for Loren to find a line passes through two points:(1,130), (10.149)
1) find slope: m=y2-y1/x2-x1 =149-130/10-1=19/9
m=19/9
to find b in the equation y=mx+b for point (1,130)
y=130, x=1, m=19/9
130=19/9(1)+b
for point (10,149)
149=19/9 (10) +b
you have two options
Hence, The solution is, the equations of line passes through two points:(1,130), (10.149) is:
149=19/9 (10) +b
130=19/9(1)+b
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Answer:
149=19/9 (10) +b
130=19/9(1)+b
Step-by-step explanation:
for Loren to find a line passes through two points:(1,130), (10.149)
1) find slope: m=y2-y1/x2-x1 =149-130/10-1=19/9
m=19/9
to find b in the equation y=mx+b for point (1,130)
y=130, x=1, m=19/9
130=19/9(1)+b
for point (10,149)
149=19/9 (10) +b
you have two options
Answers
1 yd=3ft
25 yds= x feet
x= 25*3
feet=75
Answers
Answer:
Set of integers is countably infinite set
Set of Irrational number
Step-by-step explanation:
A set when it has cardinality less than the cardinality of natural set.Then the set is called finite set.
When the set is not finite then the set is called infinite set.
Infinite set are of two types:
1.Countably infinite
2.Uncountable
1.Countable infinite set: when the cardinality of set is equal to cardinality of natural set .Then the set is called countably infinite .
Example:Set of integers is countably infinite set.
2.Uncountable : When the set is not countable or not finite then the set is called uncountable.The cardinality of uncountable set is greater than the cardinality of natural set.
Example:Set of Irrational number
B) twice the original number.
C) 50% of the original number.
D) 100% of the original number.
Answers
X/(1/2)=(X/1)/(1/2)=(X*2)/(1*1)= X*2,
which means that the number that is divided with 1/2 is multiplied by 2 (twice the original number).
When you divide a number by 1/2, the result is twice the original number . Answer:B
Answers
Answer:
3w + 52 ≥ 90
Step-by-step explanation:
If she volunteers 3 hours per week for w weeks, then the number of hours from tutoring is 3w. Add the 52 hours from her summer volunteering, and her total hours is 3w + 52. This needs to be at least 90 hours for her to graduate, so:
3w + 52 ≥ 90