The surprising discovery of utilising arithmetic to reduce the risk of divorce is based on the Gottman Group's scale of points, which distinguishes between High Risk and Low Risk of Divorce.
What is nuclear arms race?During the Cold War, the United States, the Soviet Union, and their allies engaged in a struggle for nuclear superiority known as the nuclear arms race. The United States developed more atomic weapons to aid in discouraging Soviet communist growth. But after the Soviet Union conducted its own atomic bomb test in 1949, the Cold War nuclear arms race began. An arms race is when two or more countries acquire military power in a competitive manner. When a group of nations raise their military spending or build up their forces, the term is frequently used fairly loosely. The competitive tone of this escalation frequently implies a hostile relationship.To learn more about nuclear arms race, refer to:
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What is the value of x?
Answer: i think (0,3)
Step-by-step explanation:
What is the value of the integral of x^3 from 0 to 2?
=======================================
Work Shown:
[tex]\displaystyle \int_{0}^{2}\text{x}^3d\text{x}\\\\\\\displaystyle \frac{1}{4}\text{x}^{4}+C\bigg|_{0}^{2}\\\\\\\displaystyle \left[\frac{1}{4}2^{4}+C\right]-\left[\frac{1}{4}0^{4}+C\right]\\\\\\4\\\\\\\text{Therefore,} \ \displaystyle \int_{0}^{2}\text{x}^3d\text{x} = 4\\\\[/tex]
-----------
The integral rule I used in the 2nd step was
[tex]\displaystyle \int \text{x}^{n}d\text{x} = \frac{1}{n+1}\text{x}^{n+1}+C\\\\[/tex]
in which you can verify it's valid by differentiating [tex]\frac{1}{n+1}\text{x}^{n+1}+C\\\\[/tex] to end up with [tex]\text{x}^{n}[/tex] again.
Answer:
To find the value of the integral of [tex]{x}^{3}[/tex] from 0 to 2, we need to evaluate the definite integral:
[tex]\int_{0}^{2} {x}^{3} dx[/tex]
Using the power rule of integration, we can integrate the function as follows:
[tex]\int {x}^{3} dx = \frac{{x}^{4}}{4} + C[/tex]
where C is the constant of integration.
Plugging in the limits of integration, we get:
[tex]\int_{0}^{2} {x}^{3} dx = \left[\frac{{x}^{4}}{4}\right]_{0}^{2}[/tex]
[tex]= \left(\frac{{2}^{4}}{4}\right) - \left(\frac{{0}^{4}}{4}\right)[/tex]
[tex]= \frac{16}{4} - 0[/tex]
[tex]= 4[/tex]
Therefore, the value of the integral of [tex]{x}^{3}[/tex] from 0 to 2 is 4.
using laws of exponents , i3 = ( i ^ 2 ) i =
Answer: laws and points
Step-by-step explanation:
Solve for X (photo attached)
Answer:
x=5
Step-by-step explanation:
set (2x+41)=51
subtract 41 from both sides
2x=10
divide each side by 2
x=5
Does an acute triangle equal 180 degrees?
Yes, All three interior angles of an acute triangle measure less than 90°. The sum of the angles of an acute triangle adds up to 180°.
An acute triangle is a triangle in which all three interior angles are less than 90º. Although the three interior angles of the acute triangle lie between 0° to 90°, their sum is always 180 degrees.
Triangles can be categorised on the basis of angles and sides. An acute triangle is one that is categorised on the basis of the measurement of angles. If all the interior angles of a triangle are less than 90°, then the triangle is stated to be an acute triangle.
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Mrs. Wilke spends $72 on pies for the school fair. Each pie costs $8. How many pies does Mrs. Wilke buy for the school fair?
Answer:
9 pies
Step-by-step explanation:
We know
Mrs. Wilke spends $72 on pies
1 pie = $8
We take
$72 divided by $8 = 9 pies
So, Mrs. Wilke buys 9 pies for the school fair.
A train is traveling at a constant speed and has traveled 67.5 miles in the last 1(1)/(2) hours. Which equation shows the proportional relationship between the distance, d, and the time, t, that the train has traveled?
a)d=45t
b)d=50t
c)d=67.5t
d)d=69t
Answer:
a)
Step-by-step explanation:
By definition; for constant speed,
S = ∆d/t
= 67.5/1.5
= 45
Therefore, the relationship between d and t is giving as; d = 45t
Please help its finals
Mrs. Cheng's class lost the most pencils as the median value is larger than Mr. Simson's class.
Option B is the correct answer.
What is median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
The box plot displays the number of pencils lost in a school year.
Mr. Simpson's class.
From the box plot,
Median = 14.5
Mrs. Cheng's class.
From the box plot,
Median = 16
The median tells us the average number of pencils lost.
Mrs. Cheng's class median is larger than Mr. Simpson's class.
Thus,
Mrs. Cheng's class lost the most pencils.
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PLEASE HELP ASAP!!!!!
Answer: It's the first one
Also could you mark my answer as brainliest? It helps and doesnt hurt
Which value is a solution of the equation 3-2x=-5?A. 2
B. 4
C. -2
D. 1/5
Answer: B.4
Step-by-step explanation:
3-2x=-5
-3 -3
-2x/-2 = -8/-2
x=4
Answer:
B.4
Step-by-step explanation:
3-2x=-5
-3 -3
-2x/-2 = -8/-2
x=4
how much is a penny that doubles everyday for 30 days?
If you doubled a penny every day, you would have $5,368,709.12
You can see that the decision is rather straightforward: having a single penny that doubles every day for a month are preferable to receiving $1 million upfront. This is due to compound interest's strength.
The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.
It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.
Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.
If I double this particular penny every day, I would have 30 extra pennies, plus my original one. I have $0.31 literal dollars
On day 30, if you doubled a penny every day, you would have $5,368,709.12.
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can somebody help me if you can i will give you 10 points
Answer:
D and C
Step-by-step explanation:
Which of the following ordered pairs represent points that lie on a horizontal line?
The ordered pairings (-2, 3), and (-5, 3), respectively, depict points along a horizontal line.
What is horizontal line?Let's go over some information on the horizontal line.
If the y-coordinates of every point along the line are equal, the line is horizontal.
The horizontal line's slope is zero and it is perpendicular to the x-axis.
Because the y-coordinates of every point on the line equal b, the equation of the horizontal line through point (a, b) is y = b.
Find the points with the same y-coordinates in order to identify the ordered pairs that represent points along a horizontal line.
Response A:
The paired numbers are (-2, 3), and (-5 , 3)
X is located between -2 and -5.
3 and 3 are the y-coordinates.
The two ordered pairs' y-coordinates are equivalent.
Points (-2, 3) and (-5, 3) are adjacent on a horizontal axis.
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In an apartment complex of 100 people, 40
of the residents read USA Today, 25 read
the New York Times and 9 read both.
Given that a resident reads USA Today,
what is the probability that they also read
the New York Times? Enter your answer as
a fraction.
The probability that they read both newspapers will be 9/40.
What is probability?
Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilised in probability distribution. To determine the likelihood of a particular event occurring, we must first determine the total number of possibilities.
Now,
Total people=100
Reads USA today=40
Reads NY times=25
Reads both=9
Probability of people who read USA today=40/100
Probability that they also read NY times given they also read USA today=(9/100)/(40/100)
=9/40
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How many solutions are there in a quadratic equation *?
Quadratic equation will have 2 solution
Common quadratic equation as follows :
[tex]f(x) = ax^{2} + b(x) + c[/tex]
where :
a is the coefficient of [tex]x^{2}[/tex]
b is the coefficient of x
c is the constant term
To solve this equation there are several ways to do. One of the way is by factor.
For example :
[tex]x^{2} +7x + 10 = 0[/tex]
From above equation we search for factor. Assume they are a and b.
a. If a x b, the result will be 10
b. If a + b , the result will be 7
As we know that factor of 10 is 1, 2, 5, 10.
The best answer for those equation will be a = 2 and b = 5
[tex]x^{2} + 7x +10 = 0[/tex]
( x + 5 )( x + 2 ) = 0
x = -5 or x = -2
So the equation will have 2 solution. They are -5 and -2
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one way of solving systems of linear equations is by adding a multiple of one equation to the other. the multiplier for the first equation is chosen so that one of the two variables will cancel out in the sum. what should you multiply the equation y
To eliminate the x variable, you should multiply the equation by -(coefficient of x in the second equation)/(coefficient of x in the first equation)
One way of solving systems of linear equations is by using the method of elimination. This method involves adding or subtracting a multiple of one equation to the other in order to eliminate one of the variables.
In order to eliminate one of the variables, you should multiply the first equation by a coefficient that will make one of the variables in the first equation the opposite of the corresponding variable in the second equation when they are added.
For example, if you want to eliminate the variable x, you should multiply the first equation by a coefficient that makes the coefficient of x in the first equation the opposite of the coefficient of x in the second equation.
So if the equation is y = mx + b, to eliminate the x variable, you should multiply the equation by -(coefficient of x in the second equation)/(coefficient of x in the first equation).
It's important to note that you should be careful when choosing the coefficient, you should make sure that you don't divide by zero.
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Debbie rides her bike 6 miles in 30 minutes. At this rate, how many minutes will it take her to ride 21 miles?
Answer:
105
Step-by-step explanation:
Time is always x, the independent variable.
Distance, money, etc. is always y, the dependent variable, when dealing with time.
Start with the ratio of 6:30.
If you travel 6 miles in thirty minutes, how many do you have in one?
Simplify it like this: [tex]\frac{6}{30} :\frac{30}{30}[/tex] [tex]= \frac{1}{5}: \frac{1}{1}[/tex]
You travel a fifth of a mile in 1 minute. Now you must find out how much it takes to get from [tex]\frac{1}{5}[/tex] to 21.
(Hint: 21 ÷ [tex]\frac{1}{5}[/tex])
You may use a calculator.
So it takes 105 minutes just to cover 21 miles, and this can be shown in fraction form as [tex]\frac{21}{105}[/tex], or simpler, [tex]\frac{1}{5}[/tex].
Please forgive me if I am wrong. I trusted my brain and calculator, yet I will take full blame.
The corners for a fence are located at A(11,3), B(3,-11) C(-13,-9), and D(-5,9). What is the best description of the shape enclosed by the fence?
The polygon with vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) is a rhombus
What are Vertices of a PolygonThe vertices of a polygon are the points where the sides of the polygon meet. A polygon is a closed shape that is made up of a finite number of straight line segments. The number of sides in a polygon is called its order or its degree.
The vertices of a polygon can be used to identify the shape of the polygon, for example a triangle with vertices (2,3), (4,5) and (6,7) are different from triangle with vertices (3,4), (5,6) and (7,8)
In addition, the vertices can be used to find the lengths of the sides of the polygon and to calculate its area and perimeter. Vertices can also be used to indicate the relative position of a polygon to other shapes or figures.
It's worth noting that the term "vertex" is also used to refer to the top of a pyramid or cone and the peak of a mountain. In these cases, it refers to the highest point of the object.
In this problem, the vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) when plotted on a graphing calculator shows that the two opposite sides are not equal to one another.
The shape with the vertices is a rhombus.
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question 13 of 99 sarah answered 12 questions correct and scored 80%. how many questions were on the quiz?
If Sarah answered 12 questions correctly, then there must have been 15 questions on the quiz in total. This is because 80% of 15 is 12. To calculate this, you would use the equation: (number of correct answers/total number of questions) x 100.
Since Sarah got 80%, if you plug in 12 for the number of correct answers, the total number of questions must be 15. To check this answer, you can also use the equation: (percentage/100) x total number of questions = number of correct answers. If you plug in 80 for the percentage and 15 for the total number of questions, the answer would be 12, which is the number of correct answers Sarah got. This confirms that there were 15 questions on the quiz.
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I need the work and the answer
62/100 is the fraction
31/50 is the simplest form
How to write percent as a fraction simplest form?explanation:
62%
= 62/100
= (62/2) / (100/2)
= 31/50
The final answer is 31/50~
62%
to get rid of the percentage sign and change to a fraction divide by 100
62/100
divide both numbers by to to change to simplest form
= 31/50
31/50 by the way I love how some people realize so many people answered this question already and decide they should add something that is totally not necessary.
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what is 9/2 as a whole number?
Answer: 11
Step-by-step explanation:
You roll a six-sided number cube (dice) once. How likely is it that you will roll a number less than 1? How likely is it that you will roll a number less than 7?
The probability that a number less than 1 will be rolled is 0 and the probability that the the number rolled will be less than 7 is 1
What is Probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Probability = sample space / total possible outcome
A fair die has 6 sides and each sides named from 1 to 6. Therefore the highest number one can get on a die is 6 and the least is 1
Therefore the probability to get a number less than 1 = 0/6 = 0
The probability of getting a number less than 7 = 6/6 = 1
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susan has completed 9 exam questions. this 60% of the questions on the exam.
Answer:
Step-by-step explanation:
15
Which box-and-whisker plot represents this data: 6, 7, 9, 9, 20, 22, 26, 28, 29, 30?
As a result, the Last boxplot is the one that shows the distribution that is given and the highest value is 30 .
what is mean ?The mean of a dataset, often known as the arithmetic mean, is the sum of all values divided by the total number of values (as opposed to the geometric mean). This is the most often used indicator of central tendency and is frequently referred to as the "mean." This is obtained by dividing the number of values in the dataset by the sum of all the values. Calculations can be performed using either raw data or data that has been integrated into frequency tables. A number's average is referred to as its average. Simple math can be used to determine: After adding up all the digits, divide by the number of digits. the sum divided by the number.
given
N = 10 observations were made.
The base number is 6. ( least value)
Quartile lower, n+1 = 0.25
term = 0.25(13) = 3.25term = 13
Median equals 0.5 (n + 1)
term = 0.5(13) = 6.5 term = (20 + 24) /2 = 22
Upper quartile: 0.75 (13)
Interquartile Range (IQR) is equal to Q3 - Q1 (26.5 - 13) = 13.5
The highest value is 30. (highest value in the distribution)
As a result, the Last boxplot is the one that shows the distribution that is given and the highest value is 30 .
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Find the binomial that completes the factorization
S^3-1=( )(s^2+s+1)
The binomial that completes the factorization S³-1=( )(s²+s+1) is (S - 1).
What is binomial?
A polynomial called a binomial has only terms. As an illustration, x + 2 is a binomial, where x and 2 are two distinct terms. Additionally, in this case, x's exponent, coefficient, and constant are all equal to 1.
A binomial is an algebraic expression with two terms that contains a variable, a coefficient, exponents, and a constant. The binomial polynomial x2 + 4x is another illustration.
Given that
S³-1=( )(s²+s+1) complete the factorization by finding the correct binomial
But this expression follows difference of cubes and factors as
a³ - b³ = (a - b)(a² + ab + b²)
With this, we can write the binomial as
S³-1=(S - 1)(s²+s+1)
Thus, the binomial that completes the factorization S³-1=( )(s²+s+1) is (S - 1).
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How do you find K if an equation has equal roots?
You have found the value of K when an equation has equal roots.
What is equation?An equation is a mathematical statement that expresses the equality of two expressions. It is usually written in the form of an equation, which uses an equals sign ("=") between two expressions to show that they are equal. Equations can be used to solve for a single unknown value or to express a relationship between multiple variables. Equations can be used to model real-world situations and to solve problems.
When an equation has equal roots, that means that both of its roots are the same. This means that the equation can be written in the form of (x-K)^2 = 0, where K is the value of the root. To find K, you can take the square root of both sides of the equation to get x-K = 0. Then, by adding K to both sides, you can find that K equals x. Thus, you have found the value of K when an equation has equal roots.
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let a and b be positive integers, where a and b do not equal 0. for what limit expression does l'hospital's rule apply?
L'Hospital's rule applies to the limit of the ratio of two functions when the limit of the function as x approaches a certain value.
In the limit expression, a and b are positive integers, but they do not equal 0, so L'Hospital's rule can't be applied.
L'Hospital's rule applies to the limit of the ratio of two functions when the limit of the function as x approaches a certain value, say c, approaches zero or infinity and the other function also approaches zero or infinity at the same point c. Therefore, L'Hospital's rule applies to the limit of the expression of the form:
lim ( f(x) / g(x) ) as x --> c
where, f(x) and g(x) are functions of x and c is a real number such that
either f(x) approaches zero and g(x) approaches zero as x approaches c,or f(x) approaches infinity and g(x) approaches infinity as x approaches c.In the limit expression, a and b are positive integers, but they do not equal 0, so L'Hospital's rule can't be applied.
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Sam threw a baseball into the air and found that the height of the baseball followed
the equation f(x) = -16x² +24x + 4
What is the range of the function representing the baseball's height?
The range of the function representing the baseball's height is 4 ≤ f(x) ≤ 24.
What is equation?An equation is a mathematical statement that expresses the relationship between two or more quantities and usually contains one or more unknowns, represented by a letter or symbol. An equation is written in symbolic form and is used to solve a problem or to describe a physical law. Equations can be used to describe anything from simple arithmetic operations to complex scientific equations.
This is because the highest value of the function is f(x) = 24, which is the starting height of the ball before it is thrown, and the lowest value of the function is f(x) = 4, which is the height of the ball when it returns to the ground. Therefore, the range of the function is 4 ≤ f(x) ≤ 24.
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Tyrone had some milk. He used 1 1/6 cup of milk to make hot chocolate. Then he bought 2 5/6 cups of milk at the store. Now Tyrone has 3 1/6 cup of milk. How much milk did Tyrone have to start?
Tyrone initially had 1 1/6 cup amount of milk, but after buying 2 5/6 cups of milk at the store, he now has 3 1/6 cups.
1. Start with 1 1/6 cups of milk
2. Add 2 5/6 cups of milk
3. 1 1/6 + 2 5/6 = 3 1/6 cups of milk
Tyrone started out with 1 1/6 cup of milk. This could have been used for any number of things, such as cereal or baking. He then used 1 1/6 cup of this milk to make hot chocolate. After using the milk, Tyrone decided to buy 2 5/6 cups of milk from the store. This was most likely to make up for the milk he had used and to have enough for future use. Adding the 2 5/6 cups of milk to the 1 1/6 cup of milk he had originally gives a total of 3 1/6 cups of milk. This means that Tyrone had 1 1/6 cup of milk to start.
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You want to have 100,000 fund in 12 years. How much money will you have to deposit now in an account with an APR, annual percentage rate, of 8% and compounding monthly?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 100000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &12 \end{cases}[/tex]
[tex]100000 = P\left(1+\frac{0.08}{12}\right)^{12\cdot 12}\implies 100000=P\left( \frac{151}{150} \right)^{144} \\\\\\ \cfrac{100000}{\left( \frac{151}{150} \right)^{144}}=P\implies \boxed{38411.47\approx P}[/tex]