Answer:
Shakerville 21° warmer
Step-by-step explanation:
-27 + -6 = 21
The answer is 57.04 meters.
Solution:
The height y of the rock above the ground as a function of the horizontal distance x from the starting point on top of the hill can be modeled by the equation
y = -0.04x^2 + 1.3x + 56
We now set this equation equal to zero because the height of the ground where the rock will land is zero:
0 = -0.04x^2 + 1.3x + 56
Since we have a quadratic equation, we can calculate for the horizontal distance x by using the quadratic formula
x = [-b ± sqrt(b^2 - 4ac)] / 2a
x = {-1.3 ± sqrt[1.3^2 - 4(-0.04)(56)]} / 2(-0.04)
x = (-1.3 ± sqrt(10.65)) / (-0.08)
x = -24.54 meters or 57.04 meters
There are two solutions for x but one is negative, so we choose the positive value.
<span>1=<span>ln<span>(<span>x+4</span>)</span></span></span><span><span>ln<span>(<span>x+4</span>)</span></span>=1</span><span><span>ln<span>(<span>x+4</span>)</span></span>=1</span><span><span>e<span>ln<span>(<span>x+4</span>)</span></span></span>=<span>e1</span></span><span><span>x+4</span>=<span>e1</span></span><span><span>x+4</span>=2.718282</span><span><span><span>x+4</span>−4</span>=<span>2.718282−4</span></span><span>
x=<span>−<span>1.281718</span></span></span>
Answer:
Part A: 48in^2
Part B: 4in by 12in, 8in by 6in, and 3in by 16in
Step-by-step explanation:
Volume/height is the area of the base:
480/10 = 48in^2
Any two numbers that multiply to 48 are possible dimensions of the block:
4*12, 8*6, 3*16
Answer:
2080.69
Step-by-step explanation:
