6 half-lives are required for the concentration of reactant to decrease to 1.56% of its original value.
Using integrated rate law for first order kinetics as:
[tex][A_t]=[A_0]e^{-kt}[/tex]
Where
[tex][A_t][/tex]is the concentration at time t
[tex][A_0][/tex] is the initial concentration.
Given,
Concentration is decreased to 1.56 % which means that 0.0156 of [tex][A_0][/tex] is decomposed. So,
=> [tex]\frac{[A_t]}{[A_0]}[/tex] = 0.0156
Thus
=> 0.0156 = [tex]e^{-kt}[/tex]
When we simplify it,
Then we get,
kt = 4.1604
k = 4.1604/t
The expression for the half life is:-
Half life = 15.0 hours
[tex]t_{1/2}=\frac{ln2}{k}[/tex]
Where, k is rate constant
So,
[tex]k=\frac{ln2}{t_{1/2}}[/tex]
Apply the value of k then.
[tex]\frac{4.1604}{t}=\frac{ln2}{t_{1/2}}[/tex]
Therefore,
[tex]t=6\times t_{1/2}[/tex]
Therefore, 6 half-lives are required for the concentration of reactant to decrease to 1.56% of its original value.
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what is 2 + 2
a.0
b.69
c.80085
d.106
e.200000000/100000000
Answer:
e
Step-by-step explanation:
just use a calculator for these questions
Answer this please!!! Im struggling
Answer: 0.35
Step-by-step explanation:
. assume that the box contains 5 balls: 3 green, 1 white, and 1 red. balls are drawn in succession without replacement, and their colors are noted until a green ball is drawn.
(a)white, green, green, green, blue or green, white, green, green, blue, green, green, white, green, blue, or a green, green, green, white
(b)14 outcomes.
What is sample space?There are many situations where we cannot forecast the results with certainty, but we can always state all the possible outcomes, such as when we toss a coin or roll a die. We refer to these occurrences as random phenomena or random experiments. These kinds of random events or experiments typically include probability theory. What, though, is a sample space? A sample space for the experiment is a collection of all such potential outcomes. In other terms, the sample space, which is typically represented by the letter S, is the collection or set of potential outcomes in a random experiment. When doing a random experiment, the sample space is represented.
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Select one of the factors of x2y3 − 11x2y + 6y2 − 66.
(x2y + 6)
(x2y − 6)
(y2 + 11)
(y − 3)
Step-by-step explanation:
The factors of the equation x2y3 - 11x2y + 6y2 - 66 can be found by taking out the common terms.
x2y3 - 11x2y + 6y2 - 66
Let us take out the common from the first two terms.
⇒ x2y(y2 - 11)------>(1)
Take out common from the last two terms.
⇒ + 6 (y2 - 11)------>(2)
By combining these two, we get
x2y(y2 - 11) + 6(y2 - 11)
⇒ (x2y + 6)(y2 - 11)
Answer:
(x^2y + 6)
Step-by-step explanation:
I got it right on the test.
Brianna is keeping track of how much money she saves.
She has $60 saved and saves another $15 each week.
How long will it take Brianna to save enough to buy a pair
of $180 sneakers? Show or explain your thinking.
English only and correct answers only thank you
Find the product of 4.5 x 1012 and 5.12 x 109. Write the final answer in scientific notation.
23.04 x 1021
23.04 x 1022
2.304 x 1021
2.304 x 1022
Answer: 23.04*10²¹.
Step-by-step explanation:
4.5x10¹²*5.12x10⁹=(4,5*5.12)*(10¹²*10⁹)=23.04*10¹²⁺⁹=23.04*10²¹.
the process of making estimates and drawing conclusions about one or more characteristics of a population through analysis of sample data drawn from the population is known as . a. deductive inference b. statistical inference c. inductive inference d. bayesian inference
The process of making estimates and drawing conclusions about one or more characteristics of a population through analysis of sample data drawn from the population is known as statistical inference.
What is statistical inference?
Inferential statistical analysis infers attributes of a population, for instance by testing hypotheses and generating estimates. Statistical inference is the process of employing data analysis to infer properties of an underlying probability distribution. The observed data set is thought to be a sample of a broader population. Comparable to descriptive statistics is inferential statistics. The focus of descriptive statistics is exclusively on the characteristics of the observed data; it is not predicated on the idea that the data are representative of a wider population. In machine learning, the phrase "create a prediction by evaluating an already trained model" is commonly used instead of "infer." Statistical inference uses data that has been sampled from a population to make claims about that population.
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3. BUSINESS Katherine spends $700.50 each month for rent and supplies to run her hair salon. If she charges $15 for a haircut, how many haircuts must Katherine do to cover her monthly expenses? Find the decimal answer then, round to the nearest whole number.
Answer: about 47 haircuts
Find the range of each function for the given domain
F(x) = 6x - 1; D = [0, 2, 4} R={
Answer:
d. 61²-1-2 f. 6x² -17x+10. (6x-5Xx-2) i. 20x³ +8x²y-5xy² - 2y³. 4x² (5x+2y) - y² (5x+2y) ... r=0 r=4 r= {0,4} d. 3x³ +2x²-27x-18=0 x²(3x+2)-9 (3x+2) = 0.
9 pages
Step-by-step explanation:
please answer all of them with show work! the questions are together.
Answer:
20: Pattern 8.
21: n * n = 64
Step-by-step explanation:
8*8=64, so assuming that n is the missing variable, if we use 8 in place of n, we have 64, the "equals (=)" value will always change depending on n's value. So assuming n is equal to 8, 8*8=64
When the following quadratic equation is written in general form, what is the value of "c"?
-3/4 x^2 + 2 = 0
-8
-2
-6
Unlimited
Answer:
the answer is
Step-by-step explanation:
c= -6
hope this help
Can yall do this for me pls?
I can give you a Brainliest for free :D
Answer:
1. 6.9×10^6, 2. 3.8×10^1, 3. 8.19×10^-2, 4. 14.175×10^4,5. 0.2375×10^13,6. 3.75×10^-16
Step-by-step explanation:
1.3.9×2.3×10^2×10^4
=6.9×10^6
2.4.18×9×10^4×10^-6
=3.8×10^1
3.9.75×8.4×10^4×10^-6
=8.19×10^-2
4. 9.45/1.5×10^10/10^6
=14.175×10^4
5.1.14/4.8×10^5/10^-8
=0.2375×10^13
6.9/2.5×10^-11/10^4
=3.75×10^-16
Does anyone know this answer??
Answer:
Whole numbers
Step-by-step explanation:
Integers and whole numbers are similar, but integers contain negatives and whole numbers do not. Since a city cannot have a negative population count, we'd prefer whole numbers.
Rational numbers allow for non-whole numbers, but again, a city can't havea population of something and a half person. We again prefer whole numbers.
Answer:
Whole Numbers
Step-by-step explanation:
So cities Have complete number the represent it so integers are negative numbers and fractions and rational numbers are fractions so whole number is the only number that are complete and is not a fraction so therefore the only answer it could be is whole numbers
I need the answer.????????
Answer: 60%
Step-by-step explanation:
1=100%
0.6=0.6*1
0.6=0.6*100%
0.6*100%=60%
there are (36)2⋅ 30 candies in a store. what is the total number of candies in the store? (5 points) group of answer choices 312 33 38 34 next
The total number of candies in the store is 312. It is obtained by using the concept of exponent and power on the given problem.
What is an Exponent?
The number of times a quantity is multiplied by itself is referred to as an exponent or power of the given quantity. For eg: 25, where 5 is an exponent or power of 2 and 2 is called the base of exponent 5. Any quantity raised to the power 0 always returns 1 as result.
Calculation of the total number of candies in the store
(36)2 * 30
Using the properties of an exponent, we have
A number with an exponent of 0 always gives 1
(36)2 * 1
(3)6×2 * 1
312 * 1
312
Thus, the total number of candies in the store is 312.
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the points $(1,-2)$ and $(-4,10)$ are adjacent vertices of a square. what is the perimeter of the square?
The perimeter of the square is 52 units.
In this question,
the points (1, -2) and (-4, 10) are adjacent vertices of a square.
We need to find the perimeter of the square
The side length of a square is the distance between given two points.
Let a be the side length of the square.
[tex]a=\sqrt{(-4-1)^2+(10-(-2)^2)}\\\\ a=\sqrt{25+144}\\\\ a=\sqrt{169}\\\\ a=13[/tex]
The side length of the square is 13 units.
so, the perimeter of a square would be,
P = 4a
P = 4 × 13
P = 52 units
Therefore, the perimeter of the square is 52 units.
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1. Determine how much is taken out annually in Federal Taxes along with Social Security and Medicare for a base salary of $51,000. You are filing taxes in April, 2022.
The amount that is taken out in federal taxes is $6,968.50. The amount taken for Social security is $3,162. And the amount for Medicare is $739.50.
What are the federal taxes?For person earning an annual salary of $51,000, the federal tax in April, 2022 will be:
= 4,664 + 22% of income over $40,525
= 4,664 + (22% x (51,000 - 40,525))
= $6,968.50
Social security is:
= 6.2% x 51,000
= $3,162
Medicare taxes:
= $739.50
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) Samantha bought 2 burgers for $3.50 each and 3 medium French fries for $1.20 each. Write a numerical expression to represent this situation and then find the cost.
Answer:
$10.60
Numerical expression:
($3.50 x 2 ) + (3 x $1.20)
= $7 + $3.60
= $10.60
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find the equation of a line that goes through points (8,-9) and (-4,15)
Answer: y=-2x+7
Step-by-step explanation:
The equation of a line
[tex]\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]
(8,-9) (-4,15)
x₁=8 x₂=-4 y₁=-9 y₂=15
[tex]\displaystyle\\\frac{x-8}{-4-8} =\frac{y-(-9)}{15-(-9)} \\\\\frac{x-8}{-12}=\frac{y+9}{15+9} \\\\\frac{x-8}{-12}=\frac{y+9}{24}[/tex]
Let's multiply both parts of the equation by 24:
[tex]\displaystyle\\\frac{24(x-8)}{-12} =y+9\\\\-2(x-8) =y+9\\\\-2x+16=y+9 \\\\-2x+16-9=y+9-9\\\\-2x+7=y\\\\Thus,\\\\y=-2x+7[/tex]
two ships leave a harbor at the same time. the first ship heads north at 20 miles per hour, and the second ship heads west at 15 miles per hour. write an expression that gives the distance d between the ships after t hours.
According to the statement 25t is the distance between the ships after t hrs.
What is Pythagorean theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that perhaps the area of something like the square on which side would be the hypotenuse is equivalent to the sum of something like the areas of the squares on each of the other two sides.
What Is the Pythagorean Theorem Formula Good For?The Pythagorean theorem is only valid for right-angled triangles. When any two numbers are known, we can use Pythagoras' theorem to compute the unknown sides of something like the triangle. Other real-world applications of Pythagoras' theorem include engineering and architecture.
According to the given information:The first ship travels north at 20 kilometers an hour, while the second travels west at 15 miles per hour.
equation for the given distance between boats after t hours:
Using Pythagoras formula:C² = a² + b²
C = √(a² + b²)
a = dist. traveled in t hrs. of the 1st ship.
b = dist. traveled in t hrs. by 2nd ship.
c = dist. between the two ships after t hrs. (d)
Using formula Distance = speed * time (t)
d = √((20t)²+(15t)²)
d = √(625t²)
d = 25t is the distance between the ships after t hrs.
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Martha was so hungry that she devoured 7/24 of the pizza,
while Susie, also super-hungry gobbled up 1/4 of the pizza.
Debbie ate her pizza slowly, but ended up consuming 1/6 of the pizza. Which girl ate the least amount of pizza?
Answer:
Debbie
Step-by-step explanation:
1/4 = 0.25
7/24 = 0.291666..
1/6 = 0.1666..
1/6th is the least
8/9 mius -2/3 is how much
Answer:
1,56
Step-by-step explanation:
8/9minus-2/3
=8/9+2/3
(- multiply by - = +)
=24+18/27
=41/27
=1,5
If you were to roll the dice one time what is the probability it will not land on a 1
Answer:
5/6
Step-by-step explanation:
Answer: 5/6
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
It will land on 1, Prob (land on 1) = 1/6
It will not land on 1, the probability will be given as:
Prob (not land on a 1) = 1 - 1/6
Prob (not land on a 1) = 5/6
Hence the probability that it will not land on a 1 is 5/6
Sunset High School has 500 students, and 400 of them are right-handed. The percent proportion is 400/500 = n/100. What percent of students are right-handed?
Answer:
80 percent of the students are right handed while the 20 percent are left handed
Answer: A
400/500=n/100
or 80%
Step-by-step explanation:
One ratio should represent the numbers of students, and the other ratio should show the percent out of 100.
There are 400 right-handed students out of 500; this ratio is 400/500
The percent, n, is unknown, so this ratio is n/100
The figure is made up of two semicircles. Find the perimeter of the shaded region using 3 . 143.14 for \mathrm{\pi }π.
Answer:
69.66 cm
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4.3 cm}\underline{Circumference of a circle}\\\\ $C=\pi d$\\\\where $d$ is the diameter\end{minipage}}[/tex]
From inspection of the given diagram:
Diameter of the larger circle = 5 + 14 + 4 = 24 cmDiameter of the smaller circle = 14 cmThe perimeter of a two-dimensional shape is the distance all the way around the outside.
Therefore, the perimeter of the given shaded region is the sum of half the circumference of the larger circle, half the circumference of the smaller circle, and the two 5 cm ends.
[tex]\begin{aligned}\sf \implies Perimeter & = \sf \dfrac{1}{2} \pi (24) + \dfrac{1}{2} \pi (14) + 5 + 5\\& = \sf \dfrac{1}{2}(3.14)(24) + \dfrac{1}{2}(3.14)(14) +10\\& =\sf 37.68+ 21.98+10\\& =\sf 69.66\:\:cm\end{aligned}[/tex]
Therefore, the perimeter is 69.66 cm.
The perimeter of the shaded region is 12.56 times the radius of one of the semicircles.
To find the perimeter of the shaded region, we need to find the total length of all the boundaries.
The shaded region consists of two semicircles, so we can start by finding the circumference of each semicircle.
The formula for the circumference of a circle is C = 2πr.
Since we have two semicircles, we need to find the radius for each and then add the two circumferences together to get the total perimeter.
Let's say the radius of each semicircle is r.
Using the given value of π as 3.14,
the circumference of one semicircle is 2 * 3.14 * r = 6.28r.
Therefore, the total perimeter is 6.28r + 6.28r = 12.56r.
So, the perimeter of the shaded region is 12.56 times the radius of one of the semicircles.
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$274+$400=___________
Answer:
$674
Step-by-step explanation: hope you have a good day
Answer:674
Step-by-step explanation: 400+200=600 70+00= 70 4+0=4
A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed for the recipe?
The total amount of flour needed for the recipe is 13 65/72 cups
How to calculate the amount needed for the recipe ?A recipe needs 5 1/8 cups of flour before baking
The recipe also needs another 8 7/9 cups of flour after baking
The total amount of flour used for the recipe can be calculated by adding both amount of cups used.
= 5 1/8 + 8 7/9
= 369+632/72
= 1001/72
Convert to a mixed fraction
13 65/72
Hence the total amount of flour needed for the recipe is 13 65/72 cups
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What three numbers make up 24
Answer:
8, 8, and 8 make up 24.
A school's K-Pop club is learning a new dance to a Korean pop song. They pay the dance
teacher from their bank account, which showed three changes this week.
First, a $60 withdrawal was represented using the number - 60.
• The second change was the opposite of the first.
• The third change was the opposite of the second.
What number represents the third change made to the account?
●
Type the number in the box.
The number which represents the third change made to the account according to.tge task content is; -60.
What number represents the third change made to the account?According to the task content, the second change was the opposite of the first, -60.
Hence, the second change is; +60 which is the additive inverse.
Ultimately, since the third change was the opposite of the second, it follows that the third change is; -60.
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Can someone help me please.
Answer:
1 is 6.45
Step-by-step explanation:
3.25+1.55+1.65=6.45