Caution: you need to use the same units of measurement throughout. If the spring stretches by 21 cm when a 135 newton object is attached, then you must ask for the mass (in newtons) of a fish that would stretch the spring by 62.1 cm.
We will need to assume that the spring is not stretched at all if and when no object is attached to the spring.
Write the ratio
21.0 cm 135 newtons
------------- = --------------------
62.1 cm x
Solve this for x. This x value represents the mass of a fish that would stretch the spring by 62.1 cm. You can cancel "cm" in the equation above:
21.0 135 newtons
------ = --------------------
62.1 x
Then 21.0x = (62.1)(135 newtons). Divide both sides of this equation by 21.0 to solve it for x.
The answer is 15
Since 20 times 7 is 140 and 140+75 is 215
Take 215-200 you get 15
8 (2x - 14) + 13 = 4x -27
distribute 8 through the parentheses
16x - 112 + 13 = 4x - 27
combine like terms
16x - 99 = 4x -27
subtract 4x from each side
12x - 99 = -27
add 99 to each side
12x = 72
divide each side by 12
x = 6
Answer/Step-by-step explanation:
Part A: Net A is the correct net. If we decide to fold the net, we'd get the shape of the prism. Folding back net B won't give us the shape of the prism because of the position and arrangement of the right triangular bases.
Part B:
AB = 3in
BC = 5 in
CD = 9.4 in
Part C: surface area of the prism can be calculated by calculating the area of each part of the net, and summing them together as follows,
Area of the 2 triangular bases = 2(½*base*height of triangle) = 2(½*4*3) = 2*2*3 = 12 in²
Area of the three rectangles =
Surface area of prism = 12 + 112.8 = 124.8 in²
We are given with the equation y"+ 9 y = t^2 * e^3 t + 6 and asked to determine the general solution to this equation. we convert the equation into r^2 + 9 = 0. The solution to this equation is r = +/- 3i. This solution converted to trigonometric function is equivalent to <span>y</span>= <span>C1 </span>cos3t + <span>C2 </span>sin<span>3t. </span>
