The answers to all parts are shown below.
The law of uninhibited decay is a first-order chemical reaction, which means that the rate of the reaction is proportional to the concentration of compound A.
The rate law can be written as:
rate = k[A]
where k is the rate constant and [A] is the concentration of compound A.
From the given data, we can use the following equation to determine the rate constant:
ln([A]t/[A]0) = -kt
where [A]t is the concentration of compound A at time t, [A]0 is the initial concentration of compound A, k is the rate constant, and t is the time.
Using the given data:
[A]t = 0.37 M
[A]0 = 0.40 M
t = 30 minutes = 0.5 hours
ln(0.37/0.40) = -k(0.5)
k = 0.0486 h⁻¹
(a) How much of compound A will remain after 2 hours?
Using the same equation and substituting the known values:
ln([A]t/[A]0) = -kt
ln([A]t/0.40) = -0.0486 x 2
[A]t/0.40 = e⁻(⁹⁷² /¹⁰⁰⁰⁰)
[A]t = 0.25 M
Therefore, after 2 hours, 0.25 M of compound A will remain.
(b) How long will it take until 0.10 M of compound A remains?
Substituting the known values into the equation again:
ln([A]t/[A]0) = -kt
ln(0.10/0.40) = -0.0486t
t = 4.26 hours
Therefore, it will take approximately 4.26 hours until 0.10 M of compound A remains.
(c) After 2 hours, the amount of compound A remaining will be 0.25 M.
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What is one-way ANOVA?
Discuss and explain how the five steps of hypothesis testing are used in one-way ANOVA.
One-way ANOVA utilizes the five steps of hypothesis testing to determine if there are significant differences among the means of three or more groups.
One-way ANOVA, or analysis of variance, is a statistical test used to compare the means of three or more groups to determine if there are significant differences among them. It helps in determining whether the variations between the group means are due to random chance or if they are statistically significant.
The five steps of hypothesis testing are commonly used in one-way ANOVA to analyze and draw conclusions from the data. These steps are as follows:
1. Formulating the null and alternative hypotheses: In one-way ANOVA, the null hypothesis (H0) states that there are no significant differences between the group means, while the alternative hypothesis (Ha) states that at least one group mean differs significantly from the others.
2. Choosing a significance level: The significance level, denoted as α, represents the threshold below which the null hypothesis is rejected. Commonly used values for α are 0.05 or 0.01, indicating a 5% or 1% chance, respectively, of rejecting the null hypothesis incorrectly.
3. Computing the test statistic: In one-way ANOVA, the test statistic is the F-statistic, which compares the between-group variation to the within-group variation. It measures the ratio of the mean square between (MSB) to the mean square within (MSW).
4. Determining the critical value: The critical value is derived from the F-distribution table and depends on the significance level and the degrees of freedom associated with the numerator and denominator of the F-statistic.
5. Making a decision: If the calculated F-value is greater than the critical value, the null hypothesis is rejected, and it can be concluded that there are significant differences between at least two group means. Conversely, if the calculated F-value is smaller than the critical value, the null hypothesis is not rejected, indicating that there is no significant difference between the group means.
If the null hypothesis is rejected, post-hoc tests can be conducted to determine which specific group means differ significantly from each other.
one-way ANOVA utilizes the five steps of hypothesis testing to determine if there are significant differences among the means of three or more groups.
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I 10. The sides of a square are increased by a scale factor of 3. The area of the larger square is what percent of tne area of the smaller square?
The area of the larger square is 900% of the area of the smaller square.
Let's assume that the side of the smaller square is "s". Therefore, the area of the smaller square will be:
Area of smaller square = s²
Now, the sides of the square are increased by a scale factor of 3, which means that the new side length of the larger square will be 3s. The area of the larger square will be:
Area of larger square = (3s)² = 9s²
To find the percentage of the larger square with respect to the smaller square, we need to divide the area of the larger square by the area of the smaller square, and then multiply by 100:
(9s²/s²) x 100 = 900%
This means that the larger square is 9 times the area of the smaller square.
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Unique ID: 2473
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An electrician charges a set fee of $50 for every house call and then charges an
additional hourly rate. One day, the electrician earned a total of $400 for a 5 hour
job. Write an equation for C, in terms of t, representing the total cost of the
electrician's services if the electrician spends t hours at the house working.
Answer: C
I
Submit Answer
POW
attempt 1 out of 2
The equation that represents the total cost is C = $50 + $70t.
What is the equation that represents the total cost?The total amount earned by the electrician is the sum of the fixed cost and the variable cost.
Total amount earned = fixed cost + variable cost
The fixed cost is the set fee he charges . The variable cost is a function of the additional hourly fee and the number of hours
The equation that represents the the total amount earned when he works for 5 hours is:
$400 = $50 + (5 x v)
$400 = $50 + 5v
$400 - $50 = 5v
$350 = 5v
v = $350 / 5
v = $70
C = $50 + $70t
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Please help due 5 min!!!!
need help with edualastic question answer a b c or d
the amount of cubic feet(Volume) the tent can hold is 165 ft³.
What is volume?Volume is the space occupied by an object.
To caculate the amount of cubic feet(Volume), the tent can hold, we use the formula below.
Formula:
V = bhL/2..................... Equation 1Where:
V = Volume of the tenthb = Base of the triangleh = Height of the triangleL = Height of the tentFrom the question,
Given:
b = 5 fth = 6 ftL = 11 ftSubstitute these values into equation 1
V = 5×6×11/2V = 165 ft³Hence, the right option is (A) 165 ft³.
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In the figure, what percentage of the circles are shaded?
Answer: E. 25%
Step-by-step explanation: There are 12 circles in total. 3 out of those twelve are shaded in, making it in fraction form 3/12. dividing both the numerator in the denominator by 3 simplifies it into 1/4. which is subsequently, 25%
find the expected value of the given variable with the following probability distribution
The expected value of the given variable with the probability distribution is 7
How to find the expected value of the variableFrom the question, we have the following parameters that can be used in our computation:
The probability distribution on the table of values
The expected value of the variable is calculated as
Expected value = ∑x * P(x)
Using the above as a guide, we have the following:
Expected value = 2 * 1/36 + 3 * 1/18 + 4 * 1/12 + 5 * 1/9 + 6 * 5/36 + 7 * 1/6 + 8 * 5/36 + 9 * 1/9 + 10 * 1/12 + 11 * 1/18 + 12 * 1/36
Evaluate
Expected value = 7
Hence, the expected value of the variable is 7
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On a standardized exam, the scores are normally distributed with a mean of 300 and
a standard deviation of 40. Find the z-score of a person who scored 280 on the exam.
Answer:
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The z- score of a person who scored 280 on the exam can be found to be - 0. 5.
How to find the z - score ?A z-score indicates how many standard deviations an element is from the mean.
The formula is:
Z = ( X - μ ) / σ
The details here are:
X = 280, μ = 300, and σ = 40
The z - score is therefore :
Z = (280 - 300) / 40
= -20 / 40
= -0.5
In conclusion, the z - score of a person who scored 280 on the exam is -0.5. This means that their score is half a standard deviation below the mean.
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what are the answers to these questions
1) 4x=24
2) x3=11
3) 8=n÷3
4) 5x÷6=20
5) 3a=12
6) 5⋅z=35
7) 40=4y
8) 42=7k
9) 7x=105
10) 75=6⋅w
Answer:
X=6Step-by-step explanation:
X=6X=3.7n=24X=24a=4Z=7y=10k=6x=15w=12.5Assuming the formula of a cylinder, with a height of 2r, if the square area of a can of beans is x square inches, and the volume is x cubic inches, what's the value of x?
What is 692837 divided by 28736
Answer:24.1104189866
Step-by-step explanation:
the answer to What is 692837 divided by 28736 is 24.1104189866
b) Find the sum of all the numbers between 0 and 207 which are exactly divisible by 3.
Which animal swims at a top speed of about 0.33 mile per minute? Explain how you found your answer
The animal that swims at a top speed of 0. 33 miles per minute would be the Dolphin .
How to find the animal ?To find the animal that swims at a top speed of 0. 33 miles per minute, you need to convert their top speeds in miles per hour to miles per minute.
For every 1 mile per hour, the equivalent in minutes is 0.0166667 miles per minute.
Speed of Swordfish is:
= 60 mph x 0.0166667
= 1 mile per minute
Speed of Tuna :
= 45 mph x 0.0166667
= 0. 75 miles per minute
Dolphin :
= 20 mph x 0.0166667
= 0. 33 miles a minute
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A
4
B
10
2
AABC - ATUV
Find x.
T
C
6
U
X = [?]
X
The unknown length of the similar figure is:
x = 15 units
How to find the unknown length of the similar figure?Two figures are similar if they have the same shape but different sizes. The corresponding angles are equal and the ratios of their corresponding sides are also equal.
Using the above concept, we can equate the ratio of the corresponding sides and solve for the unknown lengths. That is:
TV/AC = TU/AB
x/10 = 6/4
x/10 = 1.5
x = 10 * 1.5
x = 15 units
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A fish tank holds 75 gallons of water and has a density of 0.12 fish per gallon. How many. How many fish are in the fish tank
Answer: 9 fish
Step-by-step explanation:
To find the answer all you have to do is multiply the amount of fish per gallon (0.12) to the total amount to gallons (75).
75 x 0.12 = 9
A 75-gallon aquarium will hold about 8 fish.
Stocking guidelines are 1 inch of adult fish per gallon of tank water. When applying this rule of thumb, we have to keep in mind that a 75 gallons water tank only holds about 70 gallons of water.
Then the number of fish in the tank would be:
Number of fish = density of fish * volume of water in the tank
Number of fish = 0.12 * 70
Number of fish = 8.4
So there are about 8 fish in the tank.
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Tom is ordering 5 bags of cat food from Canada. Each bag has a mass of 6 kg . To determine the shipping costs, Tom needs to know the total weight in pounds. What is the weight of the cat food in pounds? Use 1kg= 2.2 lb and do not round any computations.
Answer:
6* 2.2lb = 13.2 lb
Step-by-step explanation:
If 1 bag weights 2.2lb than 6 bags will weight 6 times more or:
2.2 lb * 6 = 13.2 lb
We can use the provided conversion factor, which states that 1 kg is equal to 2.2 pounds, to determine the weight of the cat food in pounds.
Since each bag of cat food weighs 6 kg, we can calculate the weight of 5 bags as follows.
5 bags of 6 kg each equal the total weight = 30 kg.
Now, we can convert the total weight from kilograms to pounds using the conversion factor:
Total weight multiplied by the conversion factor equals total weight in pounds.
= 30 kg x 0.2 lb/kg.
= 66 lbs.
Consequently, the cat food has a 66-pound weight when measured in pounds.
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.3185 degrees = minutes and seconds
The conversion of 3185 degrees to minutes and seconds is 19 minutes and 6.6 seconds
How to convert the 3185 degrees to minutes and secondsFrom the question, we have the following parameters that can be used in our computation:
Degrees = 0.3185
By definition, there are 60 minutes in a degrees
So, we have
Minutes = 0.3185 * 60
Evaluate the product
Minutes = 19.11
The decimal part of the product above represents the number of seconds
So, we have
Minutes = 19
Seconds = .11 * 60
Evaluate
Seconds = 6.6
Hence, .3185 degrees is 19 minutes and 6.6 seconds
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Find the sum of the finite series:
10
Σ2· (3)n-1
n=1
Answer: 59,048
Step-by-step explanation:
To find the sum of the given finite series:
Σ2· (3)n-1
n=1
where n ranges from 1 to 10, we can use the formula for the sum of a geometric series.
The formula for the sum of a geometric series is:
S = a * (r^n - 1) / (r - 1)
In this case, a = 2 (the first term of the series) and r = 3 (the common ratio).
Using the formula, we can calculate the sum:
S = 2 * (3^10 - 1) / (3 - 1)
= 2 * (59049 - 1) / 2
= (118098 - 2) / 2
= 118096 / 2
= 59048
Therefore, the sum of the given finite series is 59,048.
Use angle diagram to name each one of the angles.
The angles in the parallel lines are solved
∠9 and ∠16 = alternative exterior angles
∠15 and ∠11 = supplementary angles
∠10 and ∠15 = alternate interior angles
∠12 and ∠15 = vertical angles
∠9 and ∠11 = corresponding angles
∠9 and ∠15 = none
∠13 and ∠14 = supplementary angles
∠14 and ∠11 = alternative interior angles
Given data ,
Let the two parallel lines be represented as a and b
where the transversal line is m
Now , from the given figure , we can deduct that
We can conclude some factors determining parallel lines ,
Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
Now , the angles are
∠9 and ∠16 = alternative exterior angles
∠15 and ∠11 = supplementary angles
∠10 and ∠15 = alternate interior angles
∠12 and ∠15 = vertical angles
∠9 and ∠11 = corresponding angles
∠9 and ∠15 = none
∠13 and ∠14 = supplementary angles
∠14 and ∠11 = alternative interior angles
Hence , the angles are solved
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The inverse of a conditional statement is "If a number is negative, then it has a negative cube root.”
What is the contrapositive of the original conditional statement?
If a number is negative, then it does not have a negative cube root.
If a number does not have a negative cube root, then the number is not negative.
If a number has a negative cube root, then the number is negative.
If a number is not negative, then it does not have a negative cube root.
The contrapositive of the original conditional statement is B. If a number does not have a negative cube root, then the number is not negative.
How to find the contrapositive ?In logic, the contrapositive of a conditional statement is a logically equivalent statement that switches the positions of the hypothesis and the conclusion, while also negating both.
The contrapositive maintains the logical validity of the original statement. If the original statement is true, then the contrapositive is also true, and vice versa. "If a number is negative, then it has a negative cube root." The contrapositive of this statement would be: "If a number does not have a negative cube root, then the number is not negative."
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Question 8
Match each compound to its correct type.
8.1
CO
hydroxide
8.2
CO₂
carbonate
8.3
SO₂
8.4
CaCO
8.5
NaOH
oxide
trioxide
dioxide
The correct matching of each compound to its type:
8.1 CO - oxide
8.2 CO₂ - dioxide
8.3 SO₂ - dioxide
8.4 CaCO - incorrect notation (needs a subscript for the number of atoms)
8.5 NaOH - hydroxide
8.1 CO - oxide
8.2 CO₂ - dioxide
8.3 SO₂ - dioxide
8.4 CaCO - carbonate
8.5 NaOH - hydroxide
Here is the correct matching of each compound to its type:
8.1 CO - oxide
8.2 CO₂ - dioxide
8.3 SO₂ - dioxide
8.4 CaCO - incorrect notation (needs a subscript for the number of atoms)
8.5 NaOH - hydroxide
Compound 8.4, CaCO, is not correctly represented. It should have a subscript to indicate the number of atoms present in the compound.
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What is the period of this function?
a.2
b.1
c.4
d.-1.15
The value of period of function is,
Period = 2
Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The graph of function is shown in figure.
Since, The distance between the repetition of any function is called the period of the function.
And, For a trigonometric function, the length of one complete cycle is called a period.
Hence, By definition of period, we get;
The value of period of function is,
Period = 3 - 1
Period = 2
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increase a gross by 10%
The results of increasing a gross by 10% is 158.4.
What is percentage?Percentage refers to the amount, number or rate of something, regarded as part of a total of 100.
In mathematics, gross is written in figures as 144
increase a gross by 10%
= 144 + (10% × 144)
= 144 + (0.1 × 144)
= 144 + 14.4
= 158.4
Hence, 158.4 is the 10% increase in gross.
Complete question:
Calculate the increase in a gross by 10%.
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Find the greatest common factor of 15n³ and 9n.
11
9
X
3
physical sciences 2023
Write a rule for the nth term of the geometric sequence a1=5 and r=2
Answer:
[tex]a_{n}=a_{1} r^{n-1}[/tex]
[tex]a_{n}=5 (2)^{n-1}[/tex]
FInd the measure of the arc using the picture provided , please and thanks
The measure of arc angle QTP is 204 degrees.
How to find arc angle?When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
Therefore, let's find the measure of arc angle QTP as follows:
90 = 0.5(x - 68)
90 = 0.5x - 34
0.5x = 124
x = 124 / 0.5
x = 248 degrees
Where
x = arc angle TSQ
Therefore,
arc QP = 44 degrees
Therefore,
arc QTP = 248 - 44
arc QTP = 204 degrees
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find the area of a triangle whose base is 8 inches and whose height is 12 in.
(a) 96in.²
(b) 10in ²
(c) 20in.²
(d) 48in.²
Answer:
48in.²
Step-by-step explanation:
The formula for the area of a triangle is 1/2 x b x h
Since the b = 8 and the h = 12, substitute 8 and 12 for b and h.
1/2 x 8 x 12
4 x 12
48in.²
Answer:
d
Step-by-step explanation:
area= ½ × b × h
= ½ × 8 × 12
= ½ × 96
= ⁹⁶/²
= 48in²
[tex]f(x)=\frac{x-3}{x+7}[/tex] find the domain
The domain of the function f(x) is all real numbers except x = -7. In interval notation, we can express the domain as (-∞, -7) ∪ (-7, +∞).
To find the domain of the function f(x) = (x - 3)/(x + 7), we need to determine the values of x for which the function is defined.
The function is defined for all values of x except those that make the denominator, x + 7, equal to zero.
Division by zero is undefined in mathematics.
So, we set the denominator equal to zero and solve for x:
x + 7 = 0
x = -7
Hence, the only value that makes the denominator zero is x = -7. Therefore, the domain of the function f(x) is all real numbers except x = -7.
In interval notation, we can express the domain as (-∞, -7) ∪ (-7, +∞).
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What is the greatest common factor of 6, 34, and 2?
Answer: 2
Step-by-step explanation:
List the factors(numbers that multiply to make that number for each number
6: 1, 2, 3, 6
34: 1, 2, 16, 34
2: 1, 2
Whichever is the factor that is the greatest that they all have in common is your greatest common factor.
2
pls help marking as brainlist
Answer:
138ft^2
Step-by-step explanation:
9x2=18
10x12=120
18+120=138ft^2
