Answer:
Order of operations: P parentheses E exponents MD multiplication/division AS addition/subtraction
Start with parentheses 2x4+3x5(5x6)+2x6 2x4+3x5(30)+2x6 The 5 next to the 30 in parentheses means the 5 and 30 have a multiplication sign between them 2x4+3x5x30+2x6
Now exponents - we don't have any, so no worries
Now multiplication and division, in order from left to right 2x4+3x5x30+2x6 8+3x5x30+2x6 8+450+2x6 8+450+12
Now addition and subtraction, in order from left to right 8+450+12 458+12 470
This is a linear differential equation of first order. Solve this by integrating the coefficient of the y term and then raising e to the integrated coefficient to find the integrating factor, i.e. the integrating factor for this problem is e^(6x). Multiplying both sides of the equation by the integrating factor:
(y')e^(6x) + 6ye^(6x) = e^(12x)
The left side is the derivative of ye^(6x), hence
d/dx[ye^(6x)] = e^(12x)
Integrating
ye^(6x) = (1/12)e^(12x) + c where c is a constant
y = (1/12)e^(6x) + ce^(-6x)
Use the initial condition y(0)=-8 to find c:
-8 = (1/12) + c c=-97/12
Hence
y = (1/12)e^(6x) - (97/12)e^(-6x)
Point R has coordinates (0,2). Point S is symmetric to point R with respect to the line y=x. What are the coordinates of point S?(2,0) (1,1) (1,0) (-5,0)
Answers
y=x basiclaly switch x and y (x,y) now becomes (y,x)
(0,2) becomes (2,0)
answe ris (2,0) or aA
An airplane flies six hundred miles to the south; then, after landing and refueling, it flies due north for three hundred miles. What is the airplane's displacement? (Remember, displacement is a vector, so direction needs to be indicated in your answer).
Answers
Displacement =
(distance between the start-point and the end-point) in the direction of (direction from the start-point to the end-point).
For the entire story, the displacement is
300 miles south .
If it's going 600 miles S, and 300 miles N, the displacement is 300 miles S
How to find the inverse of the function f(x)=2x-3 ? Please
Answers
f(x)=2x-3 y=2x-3 x=(y+3)/2
f⁻¹(x) = (x+3) / 2
If 20 coins are tossed, find the probability that they'll all land on tails.
Answers
The probability would be split for this problem cause knowing with 20 coins , you can split that even amount ... here's what I would do..
Michelle has 20 coins , but only half of them land on heads and others on tails
As for a half , halves are always equaling to 1/2 or 50 (%) knowing we have 20 , you can evenly split that number of coins in a equal position
So ask your self .. what is half of 20? hmmm .. oh I got it , its 10! so knowing you have 20 but then later you split into half which is 10 ... meaning and knowing you have a 50% probability of getting the 20 coins hitting onto tails
hope this helps!
What are the prime factors of 700
Answers
the prime factors of 700 = 2 x 2 x 5 x 5 x 7.
Answer:
The answer is 2 x 2 x 5 x 5 x 7. for Penn Foster students