Help me with this question please thank you A ball is thrown downward from a window from a tall building. Its position at time t in seconds is s = 16t^2 + 32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 161 feet.
Answers
s = 16t^2 + 32t, s=161
16t^2 + 32t=161
16t^2 + 32t-161=0
t=(-32+8√177)/32=-1+√177/4≈2,326≈2,3
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Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges. Part A: Write equations to represent Company A's and Company B's total charges for cleaning a certain number of windows. Define the variable used in the equations. (4 points) Part B: Which company would charge less for cleaning 8 windows? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows? (3 points) (10 points)
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Answers
Let's substitute the corresponding values into its appropriate places: the starting amount is $4,400, the rate is 0.065 but we need to add an 1 because it's an exponential growth problem so it would be 1.065, and the time is 3 years.
Now solve:
[tex]y = $4,400(1.065)^3[tex]
Answer: $5314.98
Answer:
FOR PLATO/EDMENTUM the answer is 5347.37
Step-by-step explanation:
5347.37
Answers
Answer:
None of the answer choices (a, b, c, d) match this result exactly, but the correct choice closest to this result would be:
a) Y(s) = (s^2 + 4s + 6)/(s^2 + s - 30) - (9s)/(s^2 + 81)
Step-by-step explanation:
To find the Laplace transform of the given differential equation, we'll first take the Laplace transform of each term in the equation. Let's denote Y(s) as the Laplace transform of Y(t).
The differential equation is:
Y''(t) - Y'(t) - 30Y(t) = sin(9t)
Taking the Laplace transform of each term, we get:
L{Y''(t)} - L{Y'(t)} - 30L{Y(t)} = L{sin(9t)}
Using the properties of the Laplace transform, we can find the Laplace transforms of the derivatives as follows:
L{Y''(t)} = s^2Y(s) - sy(0) - y'(0)
L{Y'(t)} = sY(s) - y(0)
So the equation becomes:
s^2Y(s) - sy(0) - y'(0) - sY(s) + y(0) - 30Y(s) = 9/(s^2 + 81)
Now, substitute the initial conditions Y(0) = 6 and Y'(0) = 4:
s^2Y(s) - 6s - 4 - sY(s) + 6 - 30Y(s) = 9/(s^2 + 81)
Now, group like terms:
(s^2 - s - 30)Y(s) - 6s - 4 + 6 = 9/(s^2 + 81)
(s^2 - s - 30)Y(s) - 6s + 2 = 9/(s^2 + 81)
Now, solve for Y(s):
Y(s) = [9/(s^2 + 81) + 6s - 2] / (s^2 - s - 30)
Factoring the denominators:
Y(s) = [9/(s^2 + 81) + 6s - 2] / [(s - 6)(s + 5)]
Now, we have the Laplace transform equation for Y(s):
Y(s) = [9/(s^2 + 81) + 6s - 2] / [(s - 6)(s + 5)]
None of the answer choices (a, b, c, d) match this result exactly, but the correct choice closest to this result would be:
a) Y(s) = (s^2 + 4s + 6)/(s^2 + s - 30) - (9s)/(s^2 + 81)
Answers
The expression of 4e, that has the coefficient is 4
What are the Quotients?
Quotients are the number that is obtained by dividing one number by another number.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
Dividend ÷ Divisor = Quotients
A coefficient is a number placed B4 another quantity for this case; that is the unknown(e).
The expression for the given situation is;
4e
Therefore , the coefficient is 4
Learn more about the quotient;
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Answer:
4e
A coefficient is a number placed b4 another quantity for this case that is the unknown(e).
Therefore the coefficient is 4
Step-by-step explanation:
Hope that this is helpful.
Have a great day.
Answers
Answer: The new price of the book = $14.04
Step-by-step explanation:
We are given that, the original price of book = $19.50
Price marked down by 28 percent, that means the original price of the book was decreased by 28%.
Also, 28%= 0.28 [we divide % by 100 to convert it into decimal]
Then , the new price is given by :-
New price = (Original price) - ( Marked down percentage) x (Original price)
= ($19.50)- (0.28) ($19.50)
= ($19.50)(1-0.28)
= ($19.50) (0.72)
= $14.04
Therefore , the new price of the book = $14.04
($19.50) / (100) x (28) = $5.46
Now minus the 285 from the original price:
($19.50) - ($5.46) = $14.04
The answer is $14.04
Hope it helped :)
Answers
-x + x - y = x
-y = x
-1 -1
y = -x
Answer:
can you help me w math?
Step-by-step explanation:
Answers
The error the student made is referring to an angle, m<1, being equal to 80 degrees. It is incorrect to assign a measurement or value to an angle without any given information or reference point.