7.92 g/cm³ is the density of the iron sheet.
Density is calculated by the formula:
= Mass / Volume
The mass here is 28.5 g
The Volume is:
= Volume of water after iron shot added - Volume before shot added
= 49.10 - 45.50
= 3.6 mL
The units for density is g / cm³ so you need to convert the mL to cm³.
1 cm³ = 1 mL
3.6 mL is therefore 3.6 cm³.
Density is:
= 28.5 / 3.6
= 7.92 g / cm³
In conclusion, the density of the iron shot is 7.92 g /cm³.
Find out more at brainly.com/question/8287765.
Order from least to greatest
13. P(sum not equal to 2 )
14. P(a product equal to 15)
15. P( a product not equal to 15)
Answer:
im sorry i suck at math
Step-by-step explanation:
The solution for \( x \) of the equation \( 8 e^{x}-1=0 \) is
Answer:
Step-by-step explanation:
The equation \(8e^x - 1 = 0\) can be solved to find the value of \(x\).
To solve for \(x\), we need to isolate the exponential term, \(e^x\).
Here are the steps to solve the equation:
1. Add 1 to both sides of the equation to isolate the exponential term:
\(8e^x = 1\)
2. Divide both sides of the equation by 8:
\(\frac{{8e^x}}{8} = \frac{1}{8}\)
3. Simplify:
\(e^x = \frac{1}{8}\)
4. To solve for \(x\), we can take the natural logarithm (ln) of both sides of the equation:
\(\ln(e^x) = \ln\left(\frac{1}{8}\right)\)
5. Since \(\ln(e^x)\) and \(e^x\) are inverse functions, they cancel each other out:
\(x = \ln\left(\frac{1}{8}\right)\)
6. Use the properties of logarithms to simplify further:
\(x = \ln(1) - \ln(8)\)
7. Simplify:
\(x = -\ln(8)\)
Therefore, the solution for \(x\) in the equation \(8e^x - 1 = 0\) is \(x = -\ln(8)\).
Answer:
Average speed(S) is given by:
....[1]
where,
D is the total distance and t is the time.
As per the statement:
A gazelle that runs 140 meters in 5.0 seconds.
⇒D = 140 meters and t = 5 seconds
Substitute in [1] we have;
Simplify:
⇒S = 28 m/sec
Therefore, average speed of a gazelle is, 28 m/sec