Answer:
The slope is -4
Step-by-step explanation:
To find the slope in this equation you first need to find the difference of y.
2 + (-4) = -2
-2 + (-4) = -6
so the difference of y is -4
Then you find the difference of x
0 + 1 = 1
1 + 1 = 2
So, the difference of x is 1
slope is rise over run (rise meaning the y-axis and run meaning the x-axis)
so the slope is -4/1
Answer:
Step-by-step explanation:
Answer:
The first reactant takes approximately 147 seconds to reach half its initial concentration, while the second reactant takes approximately 214.5 seconds for the same reduction, based on their half-lives and initial concentrations.
Step-by-step explanation:
The rate constant (k) for a first-order reaction can be calculated using the formula:
k = (0.693) / t_half
For the first set of data:
k₁ = (0.693) / 147 s ≈ 0.00472 s⁻¹
For the second set of data:
k₂ = (0.693) / 215 s ≈ 0.00322 s⁻¹
Now, you can use these rate constants to calculate the time it takes for each reactant to reach a certain concentration. For example, if you want to find the time it takes for the first reactant (initial concentration = 0.294 M) to reduce to 0.147 M (half its initial concentration), you can use the following equation for a first-order reaction:
ln(C_t / C₀) = -kt
Where:
C_t = concentration at time t
C₀ = initial concentration
k = rate constant
t = time
For the first reactant:
ln(0.147 / 0.294) = -0.00472t
Solving for t:
t ≈ 147 seconds
For the second reactant (initial concentration = 0.201 M) to reduce to 0.1005 M (half its initial concentration):
ln(0.1005 / 0.201) = -0.00322t
Solving for t:
t ≈ 214.5 seconds
So, it takes approximately 147 seconds for the first reactant to reach half its initial concentration, and approximately 214.5 seconds for the second reactant to do the same, based on their respective half-lives and initial concentrations.
Answer:
4.110: Four and eleven hundredths,
4.10: Four and one tenths.
Step-by-step explanation:
We have been given two numbers. We are asked to write these number in words.
4.110:
Ones: 4
Tenths: 1
Hundredths: 1
Thousandths: 0
Therefore, our given number would be four and eleven hundredths.
4.10:
Ones: 4
Tenths: 1
Hundredths: 0
Therefore, our given number would be four and one tenths.
4.110: "four and one hundred ten thousandths"
4.10: "four and ten hundredths"
To write the numbers 4.110 and 4.10 in words, we can break them down into their individual parts and express them accordingly:
4.110:
The wholenumber part is 4, which can be written as "four."
The decimal part is 110.
To express this in words, we can say "one hundred ten."
Putting it all together, 4.110 can be written as "four and one hundred ten thousandths."
4.10:
The whole number part is 4, which can be written as "four."
The decimalpart is 10.
To express this in words, we can say "ten."
Therefore, 4.10 can be written as "four and ten hundredths."
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2x − 6y + 3x2 + 7y − 14x
Answer:
To find the area of a trapezoid, we can use the formula:
Area = (1/2) × (sum of bases) × (height)
In this case, the bases are 6 cm and 2 cm, and the height is the distance between them, which we can find using the Pythagorean theorem:
height² = (side)² - (difference of bases/2)²
height² = 5.4² - (2-6/2)²
height² = 29.16 - 9
height² = 20.16
height = √20.16
height ≈ 4.49 cm
Now we can plug in these values to find the area:
Area = (1/2) × (6 + 2) × 4.49
Area = 4 × 4.49
Area = 17.96 cm²
Therefore, the area of the trapezoid is approximately 17.96 square centimeters.
Step-by-step explanation: