Answer: The value of X is 4 *cough*Bfb reference*cough*
x = 3 or x = 1
note that log 5 is usually taken to mean
5
using the law of logarithms
logx - logy = log (
)
the right hand side can be expressed as
log 10000 - log 16 = log (
) = log 625
divide both sides by log 5
x² - 4x + 7 =
= 4
subtract 4 from both sides
x² - 4x + 3 = 0 ← in standard form
(x - 3 )(x - 1) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 1 = 0 ⇒ x = 1
The answer is the first one! :)
Answer:
See below ~
Step-by-step explanation:
<u>Things to Find</u>
- Volume of Toy
- Difference of Volumes in Cube and Toy
- Total Surface of Toy
<u>Volume of Toy</u>
- Volume of Hemisphere + Volume (Cone)
- 2/3πr³ + 1/3πr²h
- 1/3πr² (2r + h)
- 1/3 x 3.14 x 16 (8 + 4)
- 1/3 x 50.24 x 12
- 50.24 x 4
- <u>200.96 cm³</u>
<u></u>
<u>Volume of Circumscribing Cube</u>
- Edge length is same as diameter
- V = (8)³
- V = 512 cm³
<u>Difference in Volume</u>
- 512 - 200.96
- <u>311.04 cm³</u>
<u></u>
<u>Slant height of cone</u>
- l² = 4² + 4²
- l² = 32
- l = 4√2 cm = 5.6 cm
<u />
<u>Surface Area of Toy</u>
- CSA (hemisphere) + CSA (Cone)
- 2πr² + πrl
- πr (2r + l)
- 3.14 x 4 (8 + 5.6)
- 12.56 x 13.6
- <u>170.8 cm²</u>
Answer:
The probability of selecting a solid black marbles both times;
P = 9/100
Attached is the completed question;
Step-by-step explanation:
Number of solid black marbles = 3
Total number of marbles = 10
The probability of selecting a solid black marble;
P1 = 3/10
With the assumption that the marbles are replaced before next selection.
The probability of selecting a solid black marbles both times;
P = P1 × P1 = 3/10 × 3/10 = 9/100
P = 9/100