Mike is pouring a two foot cement sidewalk around the perimeter of his swimming pool. His swimming pool measures 6 feet by 14 feet. If he plans for the sidewalk to be 9 inches deep, what volume of cement is needed for the sidewalk?
Answers
= 3/4 feet deep
Area of the sidewalk:
= the sides of the pool * the width of the sidewalk + the corners of the sidewalk (width * width)
= 2 sides * 6 (feet / side) * 2 feet + 2 sides * 14 (feet / side) * 2 feet + 4 corners * (2 feet * 2 feet / corner)
= 12 feet * 2 feet + 28 feet * 2 feet + 4 * 2 feet * 2 feet
= 24 feet^2 + 56 feet^2 + 16 feet^2
= 96 feet^2
Volume:
= 96 feet^2 * 3/4 feet
= (96 * 3 / 4) feet^3
= (19 * 3) feet^3
= 57 feet^3
Answer:
the correct answer is B) 72^ft 3
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2. Yumi takes hour to complete 50 math problems. Eric is able to complete 48math problems in hour. Which student can complete math problems at agreater rate of problems per hour?
Which expression is equal to (x+4)(−3x2−4x+2)? −3x3−4x2+2x+8 −3x2−4x+8 −3x3−16x2−14x+8 −3x2−3x+6
Answers
Answer: y = (4/3)x + 2
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Explanation:
The given equation is y = (-3/4)x - 2. Comparing it to y = mx+b, the slope is m = -3/4
Flip the fraction and the sign to go from -3/4 to 4/3. This is the perpendicular slope. Multiplying the two slopes gets (-3/4)*(4/3) = -1.
Rule: the original slope and perpendicular slope always multiply to -1, assuming neither line is vertical or horizontal.
We'll use the point (x,y) = (3,6) and the perpendicular slope m = 4/3 to find the y intercept b
y = mx+b
6 = (4/3)(3) + b
6 = 4+b
6-4 = b
2 = b
b = 2
The y = mx+b equation becomes y = (4/3)x + 2 which is the slope intercept form of the perpendicular line.
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Extra info:
If you want to convert to standard form Ax+By = C, then you could do the following steps
y = (4/3)x + 2
3y = 4x + 6 ... multiply everything by 3 to clear out the fraction
3y - 4x = 6
-4x + 3y = 6
4x - 3y = -6 ... multiplying both sides by -1; this is to make A > 0
factor 2n^(3)+7n^(2)-2n-7
Answers
2n^(3)+7n^(2)-2n-7
factor by grouping
2n^3 -2n + 7n^2-7
2n(n^2-1) + (7(n^2-1)
factor n^2-1 out
(n^2-1) (2n+7)
factor (n^2-1)
(n-1) (n+1) (2n+7)
Answers
6th space (last) is 42
in betwen that is 5 spaces to go
find distance from 2 to 42
42-2=40
40=5 spaces
divide 5
8=1 space
each space goes upby 8
2=1st space
2+8=2nd space
2+8+8=3rd space=18=x
x=18
Answers
Answer
49.67mph
Step-by-step explanation:
Data: 53 miles
1 hour 4 minutes.
Convert 4 minutes to hours:
4/60 = .067
Add like terms (hours)
1+ 0.067= 1.067
mph = m/h
mph = 53/1.067 = 49.67mph
The average speed of the car will be 49.67mph.
What is speed?
The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity and does not require any direction to represent it.
Given that Chloe drives from her house to her grandma's house 53 miles away in an hour and 4 minutes. The speed will be calculated by using the formula below:-
Distance traveled = 53 miles
Time = 1 hour 4 minutes.
Convert 4 minutes to hours:
4/60 = .067
Add like terms (hours)
1+ 0.067= 1.067
Now the speed will be:-
Speed = Distance / Time
Speed = 53 / 1.067
Speed = 49.67 mph
Therefore, the average speed of the car will be 49.67mph.
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Answers
In that case... you would do
75 / 2 = 37.5
37.5 x 8 = 300 calories in 8 ounces of yogurt
Hope I helped!
Answers
D = 50 mg (0.6^n)
where D is the dosage at any hour n.
Using the model above with n equal to 2. D becomes 18. Therefore, only 18 mg is left in the patient's system after 2 hours.
The quantity of the medicine left in the patient's system after 2 hours is 18 mg.
What is exponential growth or decay function?
Consider the function:
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
It should be noted that only 60% of the medicine of the previous hour is left n the patient's system every hour.
Thus, the model of the scenario,
where D is the dosage at any hour n.
From the model above with n equal to 2 then D becomes 18.
Hence, The quantity of the medicine left in the patient's system after 2 hours is 18 mg.
Learn more about exponential growth and decay here:
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