Answers
Answer:
(8√2) / 15
Step-by-step explanation:
A curve bounded by the y-axis is represented by in terms of dy;
[tex]\int \:x\:dt[/tex]
When the curve crosses the y-axis, x will be 0. In this case x is the function of t, so we have to solve for x(t) = 0;
0 = t^2 + 2t --- (1)
Solution(s) => t = 0, t = 2
dy = (1/2 * 1/√t)dt --- (2)
Our solutions (0, 2) are our limits. The area of the curve is in the form [tex]A\:=\:\int _b^a\:f\left(t\right)g'\left(t\right)dt[/tex] , so now let's introduce the limits of integration, x(t) and dy/dt. Remember, dy/dt = (1/2 * 1/√t) (second equation). 1/2 * 1/√t can be rewritten as 1/2 * t^(-1/2)....
[tex]A\:=\:\int _2^0\:\left(t^2-2t\right)\left(\frac{1}{2}t^{-\frac{1}{2}}\right)dt\\\\= \int _2^0\:\left(\frac{1}{2}t^{\frac{3}{2}}-t^{\frac{1}{2}}\right)dt\\\\= \left[\frac{t^{\frac{5}{2}}}{5}-\frac{2t^{\frac{3}{2}}}{3}\right]_2^0\\\\= 0\:-\:\left(\frac{4\sqrt{2}}{5}-\frac{4\sqrt{2}}{3}\right)\\\\= \frac{8\sqrt{2}}{15}[/tex]
Your solution is 8√2 / 15
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Answer:
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Step-by-step explanation:
Suppose two automobiles leave from the same point at the same time. If one travels north at 60 miles per hour and the other travels east at 45 miles per hour, how fast will the distance between them be changing after three hours?
Answers
Answer:
225milesStep-by-step explanation:
velocity is the change in displacement with respect to time
Speed Δv = Δd/t
Δd = tΔv
Δv is the change in speed
t is the time taken 3 hours
Substitute the given parameters into the formula;
Using the pythagoras theorem to get the change in velocity
v² = 60²+45²
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Answers
Answer:
8:12:15
Step-by-step explanation:
L=lisa R=rock S=scott
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R 60 mins
S 75 mins
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Answers
Explanation: divide $3.36 / 112 to find how much each text costs, and you get $0.03
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Step-by-step explanation:
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Answers
Answer:
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Answer:
3.7 times 10 to the 2nd
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
If the distance being traveled is 250 miles and the time it took was 3.5 hours, then you should divide the 250 miles by the 3.5 hours it took to get there. By dividing 250 by 3.5, you can get 72.88, which should be the answer.
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Answers
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Step-by-step explanation:
A rectangle and square have the same area.
The rectangle has length 12x and width 3x.
Find the length of each side of the square.
(20 points)
Answers
Answer:
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squarelength=[tex]\sqrt{36x^2}[/tex]=6x
Step-by-step explanation:
Length of each side of a square is equals to 6x.
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" A rectangle is a two dimensional shape whose opposite sides are parallel and congruent to each other. Each of the interior angle is of measure 90°."
What is square?" A square is a parallelogram whose all sides are congruent to each other. Each of the interior angle is of measure 90°."
Formula used
Area of rectangle = length × width
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According to the question,
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width of a rectangle = 3x
Substitute the value in the formula we have,
Area of rectangle = 12x × 6x
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As per the question,
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Answers
Answer:
x = 0.3
Step-by-step explanation:
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Answers
Step-by-step explanation:
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Answers
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Answer:
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.........
Answer:
add 0.4 ?
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jnjrgrugnrjgvnjrhbyrngk
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Answers
Steps:
Multiply the whole number by the denominator of the fraction and then add that product to the numerator. Leave the denominator as it is before.
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as cheecks
Step-by-step explanation:
Answer:
you should multiply 4 by -5, 5 times, so 4 times -5 = -20 then multiply by -5 = 100 then multiply y -5 = -500 then multiply by -5 = 2,500 then multiply by -5 equals = -12,500
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Answer:
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Answers
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Answers
Answer:
2.26973255E-12
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Answers
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
because if you have diffrent sings you will subtract same sings add.
The revenue in dollars of a company that produces video game systems can be modeled by the expression 5X squared 2+ 2X -80 the cost in dollars of producing video game system can be modeled by 5X squared two minus X +100 where X is the number of video game sold if profit is the difference between revenue and cost what expression represents the prophet
Answers
Answer:
required expression for profit = 3x - 180
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Step-by-step explanation:
Given,
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hence the profit by selling 1000 units will be $ 2820