Slope = Δy/Δx or rise/run. Consider where the balloon was tied to be x = 0. The balloon is 65 ft to the right of where it was tied, so now x = 65 ft. The horizontal change or run = 65 ft. Given that the ground is y = 0, when the balloon is at 20 ft, the
vertical change or rise...
(1) Increase in muscle strength
(2) Increase in muscle endurance
(3) Prevention of muscle atrophy
To find the x intercept, set y = 0.
3(0) = 4x-12
0 = x -12
Add 12 to both sides
x = 12
To find the y intercept, set x = 0.
3y = 4(0) -12
3y = -12
Divide both sides by 3.
y = -4
I assume there is no answer to the right of the = sign. So this is a simplification problem. Get rid of the parentheses by multiplying everything inside the parentheses by -3. Remember that - x - = +:
-3 x 5 - (-3)x 2y = -15 + 6 y.
Let's call Chip X and Dale Y.
When X gets 1 acorn from Y, it increased to X +1, and Y decreases to Y -1. But at that point they are supposed to be equal:
X+1 = Y - 1, thus X = Y - 2
Now if X gives Y an acorn, Y increases to Y + 1. But now the number of Dale's acorns is double...
If the castle has dimensions of 60 ft and 45 ft, then the outer area would have dimensions of 2m +60 and 2m +45, This is because you have the m width of the moat all around the castle, contributing 2m to both width and length. Thus, for #1, area = (2m+60)(2m+45).
For #2, substitute...
Divide both sides by 3, since 15 can be divided by 3 to get a whole number:
[3(2Y-9)]/3 = 15/3
The 3 cancels on the left side and you get 5 on the right side:
2Y-9 = 5
Now add 9 to both sides to leave Y by itself:
2Y-9+9 = 5+9
2Y = 14
Now divide by sides by 2...
You need two equations. One tells you the total number of tickets (240) sold to both adults and children.
If A =adult and C = child, then A + C = 240 is the first equation.
For the second equation, you have the total ticket sales ($3060) and the cost of the sale for each adult...
The reason that the answer is B is that radon breaks down into radioactive forms of three heavy metals, polonium, lead, and bismuth, and the last sentence states:"The health problems associated with radon arise from the radioactive products of its disintegration,
mentioned above." Those...
Use the expression (x1+x2/2, y1+y2/2) to get the x and y coordinates of the midpoint. So add up the x values and divide by 2 to get x at the midpoint, and add up the y values and divide by 2 to get
y at the midpoint.
Do stuff in parenthesis first, then exponents, then multiplication or division.
If the zeros = -3, 0, and 2, then x = -3 and x = 0 and x= 2 are input values for x giving real zeros for the polynomial. Degrees: 3 means the largest sum of exponents in any term in the polynomial is 3, like x3.
So when x = -3, x+3 is a factor of the polynomial. If you do the same for each...
Assuming constant water density, pressure increases by 1 atm ( about 100.9 kPa ) with each 10 m of depth below the surface. So at 10 m, the pressure is 2 atm (1 atm of air + 1 atm of water) or 201.8 kPa.
At 18 atm, the pressure is 282.3 kPa. Now for Boyle's law, you now have...