Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s
(b) 54.14 m/s
Step-by-step explanation:
The average speed over the given time interval [a,b]: = 
Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by 
(a)
(i) average speed = 
m/s
(ii) average speed = 
m/s
(iii) average speed = 
m/s
(iv) average speed = 
m/s
(v) average speed = 
m/s
(b) 
m/s
One centimeter equals 10 millimeters.
Answer:
B. 5070π in³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry
</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>r</em> = 13 in
<em>h</em> = 30 in
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Cylinder Formula]: V = π(13 in)²(30 in)
- Evaluate exponents: V = π(169 in²)(30 in)
- Multiply: V = 5070π in³
2(-X+4)=3. x= 5/2. PLUG IN X!
2(-5/2+4)=3. Distribute the 2
2× (-5/2) = -5
2×4=8
-5+8= 3
Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
