Answer: 3,500 feet
Step-by-step explanation:
To determine the original altitude for the third day, identify the y-intercept of the graph.
Therefore, the original altitude was 3,500 feet.
Answer:
No, 4+5(6t+1) EQUALS 9+30t
And 9+30t Equals 3(3+10t)
Step-by-step explanation:
GCF=3
3(9/3 + 30t/ 3) =
3(3+10t)
And
4+5(6t+1)
4+30t+5
30t+ (4+5)
Simplifying =
30t+9
Answer:
0,36π inches³ or simply 1.13 inches³
Step-by-step explanation:
In this case, first, we need to calculate the volume of the sphere with the formula:
V = 4πr³/3
Replacing the data we have:
V = 4π(3)³/3
V = 36 in³
Now that we have the volume we need to calculate the resulting error. In this case, using linear approximation we have to use the derivates of V and r, so we have the following:
If V = 4πr³/3
Then the derivate of V (dV) would be:
dV = 4π*3*r²/3 dr
Where dr is the error of radius so:
dV = 4π*r² dr
Solving for dV:
dV = 4*3.14*(3)²*(0.01)
dV = 1.13 in³
So at the end, we just report the volume of the sphere as
V = 36 ± 1 in³
dV =
21 and 7/8-8 and 5/12
remember that 21 and 7/8=21+7/8 and 8 and 5/12=8+5/12 so
21+7/8-(8+5/12)
21+7/8-8-5/12
21-8+7/8-5/12
13+7/8-5/12
so 7/8 and 5/12
make bottom number the same
multiply 7/8 by 12/12 and multiply 5/12 by 8/8
7/8-5/12=84/96-40/96=(84-40)/96=44/96=11/24
so the answer is
13 and 11/24
Answer:
19 square units
Step-by-step explanation:
There are a LOT of different ways to solve this problem, most of which involve breaking up the shape into smaller shapes. For me, it’s easier to draw a rectangle around the figure, find that area, and then subtract the four areas not in the figure.
Rectangle: would be from -3 to 3 (6) and -2 to 4 (6). 6x6=36
The four missing triangles:
AB = 1/2(3)(2)=3
BC = 1/2(2)(4)=4
CD = 1/2(2)(4)=4
DA = 1/2(4)(3)=6
6+4+4+3=17
36-17=19