Answer:
(√138)/24
Step-by-step explanation:
Answer:
p = 7/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
-4p + 9 = -5
<u>Step 2: Solve for </u><em><u>p</u></em>
- Subtract 9 on both sides: -4p = -14
- Divide -4 on both sides: p = 7/2
<u>Step 3: Check</u>
<em>Plug in p into the original equation to verify it's a solution.</em>
- Substitute in <em>p</em>: -4(7/2) + 9 = -5
- Multiply: -14 + 9 = -5
- Add: -5 = -5
Here we see that -5 does indeed equal -5.
∴ p = 7/2 is the solution to the equation.
<span>(a) At the end of Month 0, about how many more insects were in Pod A than Pod B? Explain.
In Pod A, the point is higher than 50, it could be 60 to 70 insects. Pod B has 20 insects. So, Pod A has at least 40 insects more than Pod B.
(b) Find and compare the growth rates of each pod. Show your work.
Pod A: (0,60) ; (1,80) ; (2,100)
(80-60)/60 = 0.33
(100-80)/80 = 0.25
Pod B: (0,20) ; (1,44) ; (2,97)
(44-20)/20 = 1.2
(97-44)/44 = 1.2
Based on my computation, the rate of Pod A is lower than the rate of Pod B.
(c) When does the population in Pod B exceed the population in Pod A? Explain.
Pob B exceeds the population of Pod A at the END OF MONTH 4.
Pod A has a population of less than 200 while Pod B has a population of 469.</span>
9514 1404 393
Answer:
- 150.72 cm³
- 314 cm³
- 160 cm³
- 48 cm³
Step-by-step explanation:
Put the given numbers in the relevant formula and do the arithmetic.
<u>right cylinder</u>
V = πr²h = 3.14(4 cm)²(3 cm) = 3.14×48 cm³ = 150.72 cm³
<u>cone</u>
V = 1/3πr²h = 1/3(3.14)(5 cm)²(12 cm) = 3.14×100 cm³ = 314 cm³
<u>pyramid of unknown shape</u>
V = 1/3Bh = 1/3(16 cm²)(30 cm) = 160 cm³
<u>square pyramid</u>
V = 1/3s²h = 1/3(3 cm)²(16 cm) = 48 cm³
