An isotope decays at a rate of 25% every decade. Find the adjusted rate of decay if it is calculated annually
Answers
The adjusted rate of decay, when calculated annually, is 2.5%. This means that each year, the isotope will decay by 2.5% of its remaining amount.
The adjusted rate of decay, when calculated annually, for an isotope that decays at a rate of 25% every decade can be determined by dividing the annual decay rate by the number of years in a decade.
Let's calculate the adjusted rate of decay. Since the isotope decays at a rate of 25% every decade, we can first find the annual decay rate by dividing 25% by 10 (the number of years in a decade).
Annual decay rate = 25% / 10 = 2.5%
Therefore, the adjusted rate of decay, when calculated annually, is 2.5%. This means that each year, the isotope will decay by 2.5% of its remaining amount.
It's important to note that the term "adjusted rate of decay" refers to the decay rate when measured over a different time interval. In this case, we adjusted the rate from a decade to a year. This calculation allows us to understand the rate of decay on a smaller time scale, providing more precise information about the isotope's decay process.
Learn more about isotope here
https://brainly.com/question/29103394
#SPJ11
Related Questions
Convert (-z-2)^2 into a quadratic trinomial and (-n+4)^2 and (-m-10)^2
(please help)
Answers
The quadratic trinomial of the given expressions are z² + 4 + 4z, 16 + n² - 8n, m² + 100 + 20m respectively.
What do you understand by Quadratic Trinomial?A trinomial is an algebraic expression that has three terms. An algebraic expression consists of variables and constants of one or more terms.
A polynomial is an algebraic expression that has one or more terms and is written as \(a_0x^n + a_1x^{ n - 1} + a_2x^{n-2} + ...+ a_n x^0\) in the standard form. Where \(a_0, a_1, a_2, ....,a_n\) are constants and n is a natural number.
A quadratic trinomial is a type of algebraic expression with variables and constants. It is expressed in the form ax² + bx + c, where x is the variable and a, b and c are non-zero real numbers. A quadratic trinomial also describes the discriminant D where it defines the quantity of an expression and it is written as D = b² - 4ac.
Given:
(-z - 2)²
⇒ [-(z + 2)]²
⇒ (z)² + (2)² + 2(z)(2)
⇒ z² + 4 + 4z
(4 - n)²
⇒ (4)² + (n)² - 2(4)(n)
⇒ 16 + n² - 8n
(-m - 10)²
[-(m + 10)]²
⇒ (m)² + (10)² + 2(m)(10)
⇒ m² + 100 + 20m
So, the expressions are converted into quadratic trinomial.
To know more about Quadratic trinomial visit:
brainly.com/question/22965132
#SPJ1
The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. • x=0 • x= 19,800 • y= 0 • y= 19,800
Answers
Answer:
Step-by-step explanation:
Given the function y = 19800/x
Vertical asymptote occurs at when f(x) = 0 where;
f(x) is the denominator of the given function.
From the expression given: f(x) = x
Since f(x) => 0, hence x = 0
To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.
Since 0<1, hence the horizontal asymptote is 0
x = 0, y = 0
Answer:
x = 0
y = 0
second question is b
third question is b
and forth is c
Step-by-step explanation:
what’s equivalent to
24 - 3 · 4 = 2 + 6
Answers
Answer:4 2/7 - 6/7 = 24/
7
= 3 3/
7
≅ 3.4285714
Step-by-step explanation:
Step 1: identify the figures that make up the region we are trying to calculate the area for
Step 2: communicate the formula or formulas needed to compute the area
Step 3: substitute and solve for the area. Communicate appropriate units and rounds the nearest thousand.
Answers
Step-by-step explanation: just no
I’ll give you Brainliest
Answers
Answer:
line k im pretty sure and 34
Brandon is a running back for his local high school football team. In the last game, he carried the ball 8 times. In the first 5 carries, he gained 6 yards, 12 yards, and 4 yards before losing 2 yards and then losing additional yards. His last 7 carries combined for yards. What was his total net yardage for the game?
Answers
Using it's concept, it is found that Brandon's net yardage for the game was of 26.
How to find the net yardage?The total net yardage is the sum of all the yardage they gain, that is, the positive gains are added with a plus signal, while the negative gains are added with a negative signal.
Hence, his net yardage, considering that he gained 20 yards on his last 7 carries, is given by:
6 + 20 = 26.
More can be learned about net yardage at https://brainly.com/question/14350453
#SPJ1
solve the inequality -48 < -8t
Answers
Answer:
t < 6
Step-by-step explanation:
Given
- 48 < - 8t
Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.
6 > t , that is
t < 6
what is the mean,absolute,deviation aka MAD of the numbers below
82,90,75,60,77
if the answer is a decimal, round it to the nearest tenth.
Answers
Answer:
7.44
Explanation:
MAD = 1/n sigma | xi - x of line |
a project using pert for time estimation, has an expected completion time of 63 days and standard deviation of 5. what is the probability of finishing the project in 63 days?
Answers
The probability of finishing the project in 63 days is relatively high at 72.57%. The standard deviation is also useful in determining the range of completion times and the likelihood of delays or early completion.
To answer the question, we can use the PERT formula which takes into account the optimistic time (O), pessimistic time (P), and most likely time (M) for completion. The formula is as follows: expected completion time = (O + 4M + P)/6.
Given that the expected completion time is 63 days, we can calculate the most likely time (M) using the formula:\(M = (O + 4M + P)/6 - (standard\:deviation)^{2/6}.\)
Substituting the values, we get M = 60 days.
Now, to find the probability of finishing the project in 63 days, we need to calculate the Z-score using the formula Z = (X - μ)/σ where X is the completion time we are interested in, μ is the expected completion time and σ is the standard deviation.
Substituting the values, we get Z = (63 - 60)/5 = 0.6. We can use a Z-table or calculator to find the probability that corresponds to this Z-score. The probability of finishing the project in 63 days is 0.7257 or 72.57%.
In conclusion, using the PERT formula and Z-score calculation, we can estimate the probability of finishing a project within a specific time frame. In this case, the probability of finishing the project in 63 days is relatively high at 72.57%.
The standard deviation is also useful in determining the range of completion times and the likelihood of delays or early completion.
To know more about standard deviation refer here:
https://brainly.com/question/23907081#
#SPJ11
Mike has 63 toys. 18 of them are new and 12 are his favorites, while 4 are new and favorites. Mike is giving away all the toys that are neither new nor favorites. How many toys does mike have? ASAp
Answers
Answer:34
Step-by-step explanation:
Giving away all that is not new or fav so 12 fav + 18 new + 4 which are new an favorite = 34
Answer:
22
Step-by-step explanation:
63 is the total
14 are new
8 are fav
14+8=22
f(x) = −2|x + 4|; h(x) = f(-x) describe the transformation
Answers
The vertex of the function is transformed from (-4,0) to (4,0). The expression will be transformed from f(x) = −2|x + 4| to h(-x) = -2|-x + 4|.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the absolute function is f(x) = −2|x + 4|. The transformed function is calculated as,
f(x) = −2|x + 4|
h(-x) = −2|-x + 4|
To know more about expression follow
https://brainly.com/question/17737712
#SPJ1
David, Eva and Farooq share a sum of money.
David gets 1/6 of the money and Eva gets 1/4 of the money. David gets £2.50
Farooq gets the rest of the money.
Work out how much money Farooq gets
Answers
David gets £2.50 Farooq gets the rest of the money. Let the total sum of the money be x is £8.75.
What is Algebra?All mathematical applications require a basic understanding of algebra since it deals with manipulating variables as though they were numbers. To analyze algebraic structures like groups, rings, and fields, one uses the term "abstract algebra." Modern geometry presentations use linear algebra, a subject that works with linear equations and linear mappings, and it has a wide range of practical uses. Many mathematical disciplines fall under the umbrella of algebra, some of which have the word "algebra" in their name, such commutative algebra, and that do not, like Galois theory. It is also used to name specific types of algebraic structures, such as an algebra over a field, which is frequently referred to as an algebra. The word algebra is used to name both a mathematical field and some of its subfields.Therefore,
Let the total sum of the money be x,
David gets 1/6 of x = x/6 = £2.50
⇒ x/6 = £2.50
⇒ x = £2.50 x 6
⇒ x = £15
The total sum of the money = £15
Eva gets 1/4 of x = 1/4 x 15 = £3.75
Farooq gets the rest of the money = x - £3.75 - £2.50
= £15 - £3.75 - £2.50 = £8.75
To learn more about Algebra, refer to:
https://brainly.com/question/953809
#SPJ13
A regular octagon has a radius of 6 ft and a side length of 4. 6 ft. A regular octagon has a radius of 6 feet and side lengths of 4. 6 feet. What is the approximate area of the octagon? 71 ft2 101 ft2 110 ft2 202 ft2.
Answers
The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².
What is a regular octagon?It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.
Given
A regular octagon has a radius of 6 ft and a side length of 4.6 ft.
We know the formula for the regular octagon.
Area of the regular octagon = 2(1 + \(\sqrt{2}\)) a²
Where a be the side of a regular octagon.
Then the area of the regular octagon will be.
\(\rm Area = 2 (1+\sqrt{2} ) a^2\\\\Area = 2*(1 + 1.414) *4.6^2\\\\Area = 2 * (2.414)* 21.16\\\\Area = 102.16\)
Thus, the area of the regular octagon of side length be 4.6 is 102 ft².
More about the regular octagon link is given below.
https://brainly.com/question/858868
Is this a complementary ,linear pair,vertical or adjacent?
Answers
Answer:
adjacent
Step-by-step explanation:
Complementary angles add up to 90 degrees. These two do not. So they are not complementary.
Linear means they add up to 180o. (Same as supplementary). These two do not meet those conditions.
vertical angles are across from each other when two line segments or lines cross. These two do not.
The answer is adjacent. 90 <a+b<180
Help please?????????????
Answers
Answer:
B. 2x³ + 14x²
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesExponential Rule: \(\displaystyle b^m \cdot b^n = b^{m + n}\)Geometry
Area of a Rectangle: A = lwStep-by-step explanation:
Step 1: Define
l = 2x²
w = x + 7
Step 2: Find A
Substitute [AR]: A = 2x²(x + 7)Distribute 2x²: A = 2x³ + 14x²World
. Mr. and Mrs. Dorsey and their three children
are flying to Springfield. The cost of each ticket
is $179. Estimate how much the tickets will cost.
Then find the exact cost of the tickets.
Answers
Answer:it's
Step-by-step explanation:
Let PQRST be a regular pentagon, and let M be the midpoint of side ST. What is the measure of angle MQS, in degrees
Answers
The measure of angle MQS is 18°.
In mathematics, angles are typically measured in degrees or radians.
An angle is formed by two rays that have a common endpoint called the vertex. The rays are the sides of an angle, and the endpoint is called the vertex.
There are different types of angles:
Acute angle: an angle measuring between 0 and 90 degrees.
Right angle: an angle measuring exactly 90 degrees.
Obtuse angle: an angle measuring between 90 and 180 degrees.
Straight angle: an angle measuring exactly 180 degrees.
Reflex angle: an angle measuring between 180 and 360 degrees.
Draw QT and QS
Angles TQP, SQT, and SQR will trisect the interior angle PQR
And PQR = 108
So ...angle SQT = 108 / 3 = 36
But...by symmetry....angle XQS = (1/2)angle SQT = (1/2)36 = 18°
Therefore, The measure of angle MQS is 18°.
To know more about angles refer to:
brainly.com/question/28451077
#SPJ4
sole this question ?
30÷5+(9×5)-3²=
Answers
Answer:
30÷5+(45)-96+45-942I do exams and quizzes if ur interestedAnswer:
42
Step-by-step explanation:
30/5 + ( 9)(5)−32
= 6 + ( 9)(5)−32
= 6 + 45−32
= 51 − 32
= 51 − 9
= 42
hope I helped!!
Anyone help? It’s due at 11:59pm, I’ll give brainest at last and plsss explain cuz I have to show my work
Answers
Answer: D
40 gold
24 silver
33 Bronze
Step-by-step explanation:
Since all answers have 40 gold medals won we can use this as our default. So 40/5=8 and 8*3 = 24 so the ratio of gold to silver is 40:24. Now to find silver to bronze 24 silver divided by 8=3 and multiplied by 11=33 so the ratios are 40:24:33
Sydney spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.3°F. Between 9am and noon, the temperature rose 12°F. Between noon and 3pm, the temperature went up 11.5°F. Between 3pm and 6pm, the temperature dropped 16.3°F. What was the temperature at 6pm?
Answers
The temperature at 6pm was of -5.1ºF.
This problem can be solved by using system of equations.
A system of equations means when there are two or more variables that are related, and equations are made to find the values of each variable of the problem.
It is given that at 9 am, the temperature was -12.3°F. Between 9am and the noon, the temperature rose 12°F. So, the temperature at noon was of -12.3 + 12 = -0.3ºF.
Also, between the noon and 3pm, the temperature went up 11.5°F. So, at 3 pm, the temperature was of -0.3 + 11.5 = 11.2 ºF.
Further, between 3pm and 6pm, the temperature dropped 16.3°F.So, the temperature at 6 pm was of 11.2 - 16.3 = -5.1 ºF.
Hence, the temperature at 6pm was -5.1°F
To know more about system of equations - https://brainly.com/question/24065247
#SPJ1
Given lines l,m,and n are parallel and cut by two transversal lines, find the value of x. Round your answer to the nearest tenth if necessary.
Answers
The requried value of x between lines m and n is 59.5.
What are the ratio and proportion of intersecting lines?When two lines intersect at a point, they form four angles around the intersection point. The pairs of opposite angles and sides are similar, meaning they have the proportionate measure.
As shown in the figure,
lines l,m, and n are parallel and cut by two transversal lines,
following the property of proportion of transversal line on a parallel line,
12/51 = 14/x
Simplifying the above expression,
x = 51 * [14/12]
x = 59.5
Thus, the requried value of x between lines m and n is 59.5.
Learn more about intersecting lines here:
https://brainly.com/question/11297403
#SPJ1
Log5(36)-Log5(9)
-
-
-
Condense following logarithms.
Answers
Given:
The expression is:
\(\log_5(36)-\log_5(9)\)
To find:
The simplified form of the given expression.
Solution:
We have,
\(\log_5(36)-\log_5(9)\)
It can be written as:
\(\log_5(36)-\log_5(9)=\log_5\dfrac{36}{9}\) \([\because \log_m\dfrac{a}{b}=\log_ma-\log_m b]\)
\(\log_5(36)-\log_5(9)=\log_54\)
Therefore, the simplified form of the given expression is \(\log_54\).
a survey conducted by a research team was to investigate how the education level, tenure in current employment, and age, are related to annual income. a sample 20 employees is selected and the data is given below. education (no. of years) length of tenure in current employment (no. of years) age (no. of years) annual income ($) 17 8 40 124,000 12 12 41 30,000 20 9 44 193,000 14 4 42 88,000 12 1 19 27,000 14 9 28 43,000 12 8 43 96,000 18 10 37 110,000 16 12 36 88,000 11 7 39 36,000 16 14 36 81,000 12 4 22 38,000 16 17 45 140,000 13 7 42 11,000 11 6 18 21,000 20 4 40 151,000 19 7 35 124,000 16 12 38 48,000 12 2 19 26,000 10 6 44 124,000 for two people a and b with the same years of education and age, suppose a's length of tenure is 2 more years than b, what would the salary difference between a and b? group of answer choices -4387.76 2193.88 2689.24 10011.92 none of the choices
Answers
The relationship between a dependent variable, y, and one or more independent variables, X, is described by a linear regression model.
What is linear regression model?The relationship between a dependent variable, y, and one or more independent variables, X, is described by a linear regression model. The response variable is another name for the dependent variable. Explanatory or predictive variables are other names for independent variables. Models with a single predictor are known as simple linear regression. Multiple predictor models are known as multiple linear regression. Models for numerous response variables using multivariate linear regression. Finding the weights (namely, W0 and W1) that result in the best-fitting line for the input data (i.e., the X characteristics) that we have is how linear regression functions. The line with the lowest price is chosen to be the greatest fit.Using an online multiple regression calculator, the estimated multiple linear regression equation that can be used to forecast the annual income using the number of school years completed (Education), length of tenure in the current employment, and age is as follows:
y = - 143481.1924 + 10011.9212x1 - 2193.8838x2 + 2689.2405x3
According to the general form of a multiple linear regression model:
-143481.1924 = intercept(c) ; where regression line crosses the origin
10011.9212x1 - 2193.8838x2 + 2689.2405x3 are weight coefficients of the three predictor variables ; x1, x2, and x3
y = predicted variable
To learn more about linear regression model refer to:
https://brainly.com/question/25987747
#SPJ4
What value of x makes this equation true? 12 x - 15 = 6 - 3 x
Answers
Answer:
\(x = 1\frac{2}{5}\)\(x = 1\frac{2}{5}\)
Find BC using the angle and the side length given
Answers
Answer:
5.87
Step-by-step explanation:
soh cah toa
tangent is opposite/ adjacent.
We are using tangent because we have the opposite and are trying to find the adjacent.
tan(50)= 7/x
we switch x and tan(50) to get x= 7/tan(50) which gives us approximately 5.87
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The number of cheese produced in 2006 is 7.8 thousand
The number of cheese produced in 2014 is 9.8 thousand
What is the quantity of cheese produced?The given equation that models the growth of cheese is known as an exponential equation. An exponential equation is a non-linear equation.
The given exponential equation is y = 7.1(1.03)^x
Where:
7.1 = quantity of cheese produced in 2003 1.03 = growth rate of cheese x = number of yearsNumber of cheese produced in 2006 = 7.1(1.03)^3 = 7.8 thousand
Where x = 2006 - 2003 = 3
Number of cheese produced in 2014 = 7.1(1.03)^11 = 9.8 thousand
Where x = 2014 - 2003 = 11
To learn more about exponential functions, please check: brainly.com/question/26331578
#SPJ1
what do you do find the last time
Answers
Answer:
could you be more specific?
Step-by-step explanation:
Use the figure on the right to answer the question.
A. 34 degrees
B. 17 degrees
C. 20 degrees
D. 15 degrees
Answers
Answer:
B.17 °
Step-by-step explanation:
note : can uh be more specific to the question it seems incomplete
A music store was selling a CD set at a price of $28 with a 40% discount. What was the final selling price?
Answers
Answer:
11,2$
Step-by-step explanation:
28$ — 100%
x$ — 40%
x = 28 · 40/100
11,2$
Using the distributive property, almpllty 28 - 4(x - 1) *
Answers
Answer:
32-4x
Step-by-step explanation:
28-4(x-1)
28-4x+4
28+4-4x
32-4x