Answer:
351.9 ft³
Step-by-step explanation:
- <em>Volume of cylinder: V= πr²h</em>
<u>Given:</u>
- d= 8 ft ⇒ r= 8/2= 4 ft
- h= 7 ft
<u>Solution:</u>
- V= π*4²*7 ≈ 351.9 ft³ rounded to the nearest tenths
Let's solve your equation step-by-step.
x2−6x+10=0
For this equation: a=1, b=-6, c=10
1x2+−6x+10=0
Step 1: Use quadratic formula with a=1, b=-6, c=10.
± 
x = −(−6)± 
x= 6± 
x = 6± 
/ 2
x = 6 ± 
/ 2
6 ± 2i / 2 = 3 ± i
Each colection day: D
Number of tops collected on that day: N
D1=1; N1=2
D2=3; N2=8
1) Linear model
N-N1=m(D-D1)
m=(N2-N1)/(D2-D1)
m=(8-2)/(3-1)
m=(6)/(2)
m=3
N-N1=m(D-D1)
N-2=3(D-1)
N-2=3D-3
N-2+2=3D-3+2
N=3D-1
when D=6:
N=3(6)-1
N=18-1
N=17
<span>What is the number of tops collected on the sixth day based on the linear model?
</span>The number of tops collected on the sixth day based on the linear model is 17.
2) Exponential model
N=a(b)^D
D=D1=1→N=N1=2→2=a(b)^1→2=ab→ab=2 (1)
D=D2=3→N=N2=8→8=a(b)^3→8=a(b)^(1+2)
8=a(b)^1(b)^2→8=ab(b)^2 (2)
Replacing (1) in (2)
(2) 8=2(b)^2
Solving for b:
8/2=2(b)^2/2
4=(b)^2
sqrt(4)=sqrt( b)^2 )
2=b
b=2
Replacing b=2 in (1)
(1) ab=2
a(2)=2
Solving for a:
a(2)/2=2/2
a=1
Then, the exponential model is N=1(2)^D
N=(2)^D
When D=6:
N=(2)^6
N=64
<span>What is the number of tops collected on the sixth day based on the exponential model?
</span><span>The number of tops collected on the sixth day based on the exponential model is 64</span>
Answer:
4.66
14÷ 3 = 4 r 2
add 0 to 2 ( this attracts a decimal point in your answer)
20 ÷ 3 = 6r 2
and = 4.66
First, take the written expression apart. Four times a number would be 4n. Then the difference between. That would be a subtract sign. Then finally the seven. The difference between 4n and 7 so:
4n - 7 is your answer.
