Use the Laplace transform to solve the following initial value problem: y″−10y′+50y=0y(0)=0,y′(0)=5 First, using Y for the Laplace transform of y(t), i. e., Y={y(t)}, find the equation you get by taking the Laplace transform of the differential equation

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Solve these problems: 1.what is the perimeter of an equilateral triangle with sides measuring 6cm? 2. a regular pentagon has sides measuring 3.2 cm. what is its perimeter? 3. a regular decagon has sides of 3.5mm . what is it’s perimeter? 4. a regular octagon has a perimeter of 64cm. what is the length of one of the sides? 5. a regular hexagon has a perimeter of 72mm . what is the length of one of the sides? 6. what is the perimeter of a rhombus with sides measuring 11m?

Identify the percent of change as an increase or a decrease. 75 people to 25 people response - correct increase decrease question 2 find the percent of change. round to the nearest tenth of a percent.