5/4 is fraction and 1.25 is decimal of the number 125.
How do you use a decimal to solve a fraction?The decimal into a fraction greater than 1. Therefore, the denominator would be 1 and the decimal the numerator.Calculate the corresponding fraction.Divide the decimal by the comparable fraction's denominator.simply the percentage.Since percent refers to per 100. Then, 125% might be expressed as 125/100 or as 125/100. When we reduce the fraction, we get the fractional expression of 5/4. Returning to the fraction 125/100, you may get 1.25 as the decimal expression by dividing it by 100.fractions in decimals Math is the representation of fractions in their decimal form, where the denominator is 10 or a power of 10 more, such as 100, 1000, or 10,000, etc. For instance, the fractions 1/10, 1/100.To learn more about fraction refer to:
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Answer the following question in 3-4 complete sentences. Name the two rivers that run through the fertile crescent. How were the rivers both positive and negative to societies of the fertile crescent?.
The two number of rivers that run through the Fertile Crescent are the Tigris and the Euphrates.
These rivers were positive for societies in the Fertile Crescent because they provided a reliable number of source of water for irrigation and drinking, and their associated river basins provided a variety of resources including fish, plants, and minerals. However, the rivers were also negative for societies in the Fertile Crescent because they could be unpredictable and cause flooding and erosion, which could destroy homes and crops.
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Answer:
The two rivers that run through the Fertile Crescent are the Euphrates and the Tigris. The rivers are the reason that the region is referred to as “fertile”. A fertile region is an area that produces healthy, sustaining vegetation. The negative aspect of the rivers was that flooding was common. Flooding could wipe out an entire years crop.
Step-by-step explanation:
pictures below
(1 point) write the system of equations −5x 2y 2z=23x 2y 5z=2−3x 4y 2z=−3 as a matrix equation, that is, rewrite it in the form ⎡⎣⎢a11a21a31a12a22a32a13a23a33⎤⎦⎥⎡⎣⎢xyz⎤⎦⎥=⎡⎣⎢b1b2b3⎤⎦⎥
the system of equations can be rewritten as a matrix equation as follows: ⎡-5 2 -2 3 -3 4 2 0 0 0⎤ ⎢x y z⎤= ⎡23 2 -3⎤
We have a system of equations in the form ax2 + by2 + cz = d, ex2 + fy2 + gz = h, and ix2 + jy2 + kz = l. To rewrite this system of equations as a matrix equation, we need to arrange the coefficients of the variables into a 3x3 matrix. This matrix is referred to as the coefficient matrix. For example, the coefficient matrix of our system of equations is:
⎡a11a21a31a12a22a32a13a23a33⎤ = ⎡-5 2 -2 3 -3 4 2 0 0 0⎤
Next, we need to arrange the variables in a separate matrix. This matrix is referred to as the variable matrix. The variable matrix for our system of equations is:
⎡xyz⎥=⎡x y z⎤
Finally, we need to arrange the constants of the equations in a separate matrix. This matrix is referred to as the constant matrix. The constant matrix for our system of equations is:
⎡b1b2b3⎤=⎡23 2 -3⎤
Therefore, the system of equations can be rewritten as a matrix equation as follows:
⎡-5 2 -2 3 -3 4 2 0 0 0⎤⎡x y z⎤=⎡23 2 -3⎤
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3.) Katy Perry's bank granted her a single-payment loan of $4,400 at an interest rate of 6% exact interest to buy
a new sound system. The term of the loan is 172 days. What is the exact interest and what is the maturity value
of the loan?
The exact interest will be $124.44.
What is simple interest?
A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
The formula for simple interest is:
S = p*t*r/100
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
Katy Perry's bank granted her a single-payment loan of $4,400 at an interest rate of 6% exact interest to buy a new sound system.
The term of the loan is 172 days in years it will be 172/365.
S = 4400*6*172/365*100 = 124.44
Hence the exact interest will be $124.44.
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Each week, Carmen earns a base pay of $35 plus $0.17 for every pamphlet that she delivers. Write an equation that can be used to find how much Carmen earns each week. How many pamphlets does she need to deliver to earn $86?
The equation that can be used to find how much Carmen earns each week is y = 35 + 0.17x
The number of pamphlets she needs to deliver to earn $86 is 300 pamphlets
How to write and solve equation?Base salary of Carmen = $35
Additional earnings per week= $0.17
Number of pamphlet Carmen delivers = x
Total amount Carmen earns = y
y = 35 + 0.17x
Number of pamphlets she needs to deliver to earn $86;
y = 35 + 0.17x
86 = 35 + 0.17x
86 - 35 = 0.17x
51 = 0.17x
x = 51/0.17
x = 300 pamphlet
Hence, Carmen earnings is represented by y = 35 + 0.17x and Carmen needs to deliver 300 pamphlet to earn $86
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What is the rate of return on a $10,000 bond purchased at $8750 with a 10% coupon?
A. )8. 75%
B. )9. 09%
C. )11. 43%
D. )10%
The rate of return on the $10,000 bond purchased at $8750 with a 10% coupon is 24.29%. The answer closest to this value is option C, 11.43%.
The rate of return on a bond is determined by the coupon rate and the difference between the purchase price and face value of the bond.
The coupon rate is the amount of interest paid annually on a bond expressed as a percentage of the face value of the bond.
In this case, the coupon rate is 10%, and the bond was purchased at $8750.
The face value of the bond is $10,000,
So the difference between the purchase price and face value is $1250.
The rate of return can be calculated as follows:
rate of return = (coupon rate + (face value - purchase price) / purchase price) * 100
rate of return = (0.10 + ($10,000 - $8750) / $8750) * 100
rate of return = (0.10 + ($1250 / $8750)) * 100
rate of return = (0.10 + 0.1429) * 100
rate of return = 0.2429 * 100
rate of return = 24.29%
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How To Convert 11 °C to °F
The Fahrenheit is 51.8
What is Celsius and Fahrenheit?Celsius also called centigrade, scale based on 0° for the freezing point of water and 100° for the boiling point of water. Invented in 1742 by the Swedish astronomer Anders Celsuius, it is sometimes called the centigrde scale because of the 100° interval between the defined points.
Fahrenheit temperature scale based on 32° for the freezing point of water and 212° for the boiling point of water, the interval between the two being divided into 180 equal parts. The 18th-century German physicist Daniel Gabreil Fahrenheit originally took as the zero of his scale the temperature of an equal ice - salt mixture and selected the values of 30° and 90° for the freezing point of water and normal body temperature, respectively: these later were revised to 32° and 96°, but the final scale required an adjustment to 98.6° for the later value.
Conversion formula for °C to °F
°F = (9/5 × °C) + 32
Given:
Convert 11 °C to °F?
°F(11×1.8) + 32
= 19.8 + 32
= 51.8°F
Therefore 11 celsius (°c) is equal to 51.8 Fahrenheit (°F)
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Find the average velocity for the position function s(t), in mm, over the interval 1 < t < 3, where t is in seconds. s(t) = 12t - t^2 s(t) = ln(t)
The required average velocity both conditions are -2 mm/s and -1/2 mm/s.
What is velocity?The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
According to question:To find the average velocity over the interval 1 < t < 3 for the position function s(t) = 12t - t^2, we need to find the derivative of the position function and then evaluate it at the limits of the interval. The derivative of the position function s(t) = 12t - t^2 is given by:
s'(t) = 12 - 2t
The average velocity over the interval 1 < t < 3 is given by:
v_avg = (s'(3) - s'(1)) / (3 - 1) = (12 - 23 - (12 - 21)) / (3 - 1) = -2
Therefore, the average velocity over the interval 1 < t < 3 for the position function s(t) = 12t - t^2 is -2 mm/s.
For the position function s(t) = ln(t), the derivative of the position function is given by:
s'(t) = 1/t
The average velocity over the interval 1 < t < 3 is given by:
v_avg = (s'(3) - s'(1)) / (3 - 1) = (1/3 - 1) / (3 - 1) = -1/2
Therefore, the average velocity over the interval 1 < t < 3 for the position function s(t) = ln(t) is -1/2 mm/s.
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Frank had $65. He pent $2 per day for 7 day. Then he wa given $9 to divide equally between himelf and hi 2 brother. The following expreion can be ued to find the amount of money Frank had after that. 65 - 2 ⋅ 7 9 ÷ 3
Baed on thi expreion, what i the amount of money Frank had remaining?
Frank has $54 left with him from the initial $65.
Now, Frank had $65 with him initially.
It is given that he spent $2 per day for 7 days (a week), implying that he spent $2 x 7 = $14 total.
Now, it is also given that he had to divide $9 between him and his brothers equally, i.e., 9/3 = $3.
Each brother (including Frank) gets $3 after the equal division.
Now, we have an expression in our hand:
65 - 2x7 + 9/3
Where, 2x7 implies the $14 he spent in the week
9/3 implies the division of money between him and his two brothers.
Solving the expression,
65 - 14 + 3 = $54
Thus, Frank has $54 left with him from the initial $65.
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Frank has $54 left with him from the initial $65.
Now, Frank had $65 with him initially.
It is given that he spent $2 per day for 7 days (a week), implying that he spent $2 x 7 = $14 total.
Now, it is also given that he had to divide $9 between him and his brothers equally, i.e., 9/3 = $3.
Each brother (including Frank) gets $3 after the equal division.
Now, we have an expression in our hand:
65 - 2x7 + 9/3
Where 2x7 implies the $14 he spent in the week
9/3 implies the division of money between him and his two brothers.
Solving the expression,
65 - 14 + 3 = $54
Thus, Frank has $54 left with him from the initial $65.
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6) w(a)= a -1; Find w(0)
-1
Step-by-step explanation:Functions are often given in a different notation than other relationships. This is known as function notation.
Function Notation
Function notation is most commonly written with the variables f(x) and x. The variable f(x) is pronounced "f of x". Still, function notation can be written with any variables such as w(a) and a. The independent variable, also known as the y-value, is f(x). The dependent variable is x. For the question above, w(a) is independent and a is dependent. When solving a function for a specific value, to show what the x-value is, we put that value into the parentheses.
So, the question uses w(0) to show that 0 is the a-value we are using to solve. In context, w(0) means to solve the function when a = 0.
Solving for w(0)
To solve this, all we need to do is plug 0 in for a.
w(0) = 0 - 1w(0) = -1This means that w of 0 is equal to -1.
The quadratic functions f(x) and g(x) are described in the table. x f(x) g(x) −2 4 64 −1 1 49 0 0 36 1 1 25 2 4 16 3 9 9 4 16 4 5 25 1 6 36 0 In which direction and by how many units should f(x) be shifted to match g(x)? Left by 18 units Right by 18 units Left by 6 units Right by 6 units
Right by 6 units should f(x) be shifted to match g(x).
What is the quadratic functions?A quadratic function is a type of mathematical function that can be represented by an equation in the form of ax^2 + bx + c, where x is a variable, a, b, and c are coefficients, and a ≠ 0. Quadratic functions are commonly used in various fields including physics, engineering, and finance, to model various real-world phenomena.
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a boy weighs 88kg which is 10% higher than his normal weight. What is his normal weight.
If the boy weighs 88kg and it is 10% higher than his normal weight, we can use the following formula to find his normal weight:
Normal weight = Current weight / (1 + 10%)
10% of the boy's weight is 0.10 * 88kg = 8.8kg
So, Normal weight = 88kg / (1 + 8.8kg) = 88kg / 1.10 = 80kg
Therefore, the boy's normal weight is 80kg.
find the intersection of the circle x^2 + y^2 = 144 and the line y = x - 12.
Answer:
Step-by-step explanation:
x^2+(x-12)^2=144
x=0 or x=12
y=0-12 or 12-12
replace the values in the equation given, and you get
Intersection points are :
(x1,y1) = (0,-12)
(x2,y2) = (12,0)
the sales tax on a 30,000 purchese was $2.40. What was the sales tax rate for this purchese?
How many applicants were there?
What is 2/7 turned into a decimal
Answer:
0.29
Step-by-step explanation:
Answer:
0.285714
Step-by-step explanation:
a factory sends cases of cereal boxes to a grocery store. there are 144 cereal boxes in every 24 cases shipped. plot points on the graph to show how many cereal boxes there are for shipment of 4,8,10,14 and 16 cases. label each point with its ordered pair.
A graph of the points with its ordered pair to show the number of cereal boxes there are for shipment of 4, 8, 10, 14, and 16 cases is shown in the image attached below.
What is a proportional relationship?In Mathematics, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
k is the constant of proportionality.y and x represent the variables in a proportional relationship.Next, we would determine the constant of proportionality (k) for the relationship between the x-values and y-values in this table as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 144/24
Constant of proportionality, k = 6.
When x= 4, the number of cereal boxes y is given by:
y = 6x
y = 6(4)
y = 24 ⇒ ordered pair (4, 24).
When x= 8, the number of cereal boxes y is given by:
y = 6x
y = 6(8)
y = 48 ⇒ ordered pair (8, 48).
When x= 10, the number of cereal boxes y is given by:
y = 6x
y = 6(10)
y = 60 ⇒ ordered pair (10, 60).
When x = 14, the number of cereal boxes y is given by:
y = 6x
y = 6(14)
y = 84 ⇒ ordered pair (14, 84).
When x = 16, the number of cereal boxes y is given by:
y = 6x
y = 6(16)
y = 96 ⇒ ordered pair (16, 96).
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Show that each term in the following equation has units of lb/ftº. Consider u as velocity, y as length, x as length, p as pressure, and u as absolute viscosity
The equation [tex]p*u*(dy/dx)[/tex]has units of[tex]lb/ftº[/tex], which is derived by multiplying the units of each of the three terms in the equation: [tex](lb/ft²)(ft/s)(1/ft).[/tex]
[tex]p*u*(dy/dx)[/tex]
[tex]lb/ftº = (lb/ft²)(ft/s)(1/ft)[/tex]
[tex]= (lb/ft²)(ft/s)(ftº)= lb/ftº[/tex]
1. The first term in the equation is pressure, p, which is measured in units of [tex]lb/ft².[/tex]
2. The second term is absolute viscosity, u, which is measured in units of ft/s.
3. The third term, [tex](dy/dx)[/tex] is the derivative of y with respect to x, and has units of 1/ft.
4. Multiplying the three terms together gives a result of[tex](lb/ft²)(ft/s)(1/ft)[/tex]which is equal to[tex]lb/ftº.[/tex]
The equation[tex]p*u*(dy/dx)[/tex] has units of [tex]lb/ftº[/tex], which is derived by multiplying the units of each of the three terms in the equation: [tex](lb/ft²)(ft/s)(1/ft).[/tex]
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Given diagram below, solve for x.
The value of x is 11.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the figure,
5x + 3x + 2 = 90
Solve for x.
8x + 2 = 90
8x = 90 - 2
8x = 88
x = 11
Thus,
x is 11.
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if f(x) = f(xf(xf(x))), where f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5, and \" f '(6) = 6\" , find f '(1).
The value of the composite function F(1) is 6.
Composite function;
When the result of one function is utilized as the input for another, this is known as a composite function.
Composite function;
F(x) = f(xf(xf(x)))
Also, we have
f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5, and f '(6) = 6,
Substitute 1 for x in the equation F(x) = f(xf(xf(x)))
So, we have
F(1) = f(xf(xf(1)))
From the question
f(1) = 4
So, we have
F(1) = f(xf(4))
From the question
f(4) = 6
So, we have
F(1) = f(6)
As a general rule
If f '(4) = 5 then f(6) = 6
So, we have
F(1) = 6
Hence, the value of the function F(1) is 6
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21.1.4 Quiz: Thinking Chronologically
Question 5 of 5
Which timeline correctly organizes the founding of important world religions?
O A
B.
О с.
O D.
World Religions
Christianity was founded about 2,000 years ago.
• Islam was founded about 1,400 years ago.
.
Hinduism was founded about 3,500 years ago.
.
• Buddhism was founded about 2,500 years ago.
• Judaism was founded about 4,000 years ago.
·
← PREVIOUS
Buddhism
Judaism
Christianity
Hinduism
Judaism
Buddhism
Judaism
Islam
Christianity
Christianity
Islam
Christianity
Islam
Islam
Hinduism
Judaism
Hinduism is one of the suggested timelines for the foundation of significant world religions. Islam Buddhism Christianity The right answer is C.
Whose faith is the most popular worldwide?With more than two billion adherents, Christianity is the largest of the world's main religions. Christianity, which has been around for around 2,000 years, is founded on the life and teachings of Jesus. Faith and reason have always been seen as the basis of religious beliefs. There are reportedly 10,000 different religions in the globe, although almost all of them have localised, insignificant followings.
Which seven world religions are there?JUDAISM.
CHRISTIANITY.
ISLAM.
HINDUISM.
BUDDHISM.
SIKHISM.
ANIMISM.
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Answer Fast!!! 45 pts
A six-sided number cube has sides labeled 1,1,2,2,3, and 3
What is known about the probability model for this situation?
Select all correct answers.
⬜ The probabilities of the individual outcomes are the same.
⬜ The probabilities of the individual outcomes are not the same.
⬜ The probability model for this situation is non-uniform.
⬜ The probability model for this situation is uniform,
The probabilities of the individual outcomes are the same.
The probability model for this situation is uniform.
What is a Probability Model?A mathematical illustration of a random event is a probability model. Its sample space, occurrences therein, and associated probability for each event serve as its definition.
The collection of all potential outcomes is the sample space S for a probability model.
Hence, it can be seen that there is 2 of each number so there is an equal chance. when there is an equal chance that is uniform.
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How do you simplify 2 + square root of 60 all divided by 4?
The simplified expression is [1 + √15]/2
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
2 + √60]/4
So, we have
2 + 2√15]/4
Divide
1 + √15]/2
Hence, the expression is [1 + √15]/2
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which of the following statistics are unbiased estimators: a) all these (sample mean, sample proportion, and sample variance) b) the sample proportion c) the sample variance d) the sample mean
All these (sample mean, sample proportion, and sample variance) are the statistics are unbiased estimators.
What is meant by unbiased estimator?The difference between an estimator's expected value and the actual value of the parameter under consideration is known as bias in statistics. Unbiased estimators or decision rules are referred to as unbiased. "Bias" is a statistical term for an estimator's objective property.An estimator's expected value must exactly match the population parameter's value in order for it to be considered impartial. The discrepancy between an estimator's expected value and the parameter value is known as bias. The estimator has bias if this difference is not zero.Given a straightforward random sample, the sample mean is an unbiased estimator of the population parameter because, over a large number of samples, it does not consistently overestimate or underestimate the true population mean.Learn more about unbiased estimator refer to :
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Someone help please!!
Answer:
Last option: 4a³
Step-by-step explanation:
Adding up the terms in the a³ column we get
12a³ -6a³ -2a³ = B
B = 12a³ -6a³ -2a³
B = (12 - 6 -2)a³
B = 4a³ ANSWER
Last choice in the answer choices
Question: Which function is best represented by this graph?
Responses: f(x)=x2+2x−1 f(x)=x2−2x−1 f(x)=x2+2x f(x)=x2−2x
The quadratic function best represented by the graph is given as follows:
f(x) = x² + 2x.
How to model the quadratic function?The quadratic function of roots x* and x** is given by the rule presented as follows:
y = a(x - x*)(x - x**).
In which a is the leading coefficient.
The roots are given on the graph by the values of x when the graph crosses the x-axis, hence they are given as follows:
x* = -2, x* = 0.
Hence:
y = a(x + 2)(x)
When x = -1, y = -1, hence the leading coefficient a is obtained as follows:
-1 = a(-1 + 2)(-1)
-a = -1
a = 1.
Meaning that the function is defined as follows:
f(x) = x² + 2x.
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What are your tips for memorizing the functions sin, cos, tan, cot, csc, and sec?
The nonsense syllables Oh, Ah, and Oh-Ah (i.e. /o o. /) for O/H, A/H, and O/A can also be memorized as a substitute for the letters Sin, Cos, and Tan. For these letters, longer mnemonics like "Oscar Has A Hold On Angie" and "Oscar Had A Heap of Apples" can be used.
What is meant by function?A mathematical formula, rule, or legislation that establishes the link between the independent variable and the dependent variable (the dependent variable). At its most basic level, management is a discipline made up of the following five general tasks: organizing, staffing, leading, and controlling. A corpus of theories and practices on how to be a great manager includes these five functions. The eight categories are power, quadratic, rational, exponential, logarithmic, sinusoidal, polynomial, and linear. When examining a graph, one method is to perform a "vertical line test" to see if a relationship is indeed a function. The vertical line test can be used to determine if a graph accurately depicts a function. If a vertical line is drawn over it and is moved so that it only ever touches it once, the graph is said to be a function. If the vertical line crosses the graph multiple times, it is not a function.To learn more about function, refer to:
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The jug shown below contains some water.
How many litres of water does this jug contain?
300 ml
- 250 ml
200 ml
- 150 ml
• 100 ml
50 ml
Answer:
1050 ml ÷1000 = 1.05 liters of water
Step-by-step explanation:
I think this is right!!
Have a good rest of your day please mark brainiest
If m∠2=48°, then =m∠MOH=
The measure of m∠MOH will be -
m∠MOH = m∠9 + 48°.
What is angle?In Euclidean geometry -
an angle is the figure formed by two rays known as the sides of the angle and sharing a common endpoint known as the vertex of the angle.
Given is a parallelogram as shown in the image attached.
It is given that -
m∠2 = 48°
m∠2 = m∠7 {Alternate interior angles are equal}
Now -
m∠MOH = m∠9 + m∠7
m∠MOH = m∠9 + m∠2
m∠MOH = m∠9 + 48°
Therefore, the measure of m∠MOH will be -
m∠MOH = m∠9 + 48°.
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{THE IMAGE OF THE FIGURE IS ATTACHED WITH THE ANSWER}
Need help ASAP
Which function is best represented by this graph?
Responses:
f(x)=x2+2x−1
f(x)=x2−2x−1
f(x)=x2+2x
f(x)=x2−2x
The function is best represented by f (x) = x² + 2x.
option C
What is the value of x in the given function?The values of x in the given function can be determined as follows;
From one of the solution of x = - 2 and the second solution = 0
Now, we already know that the function has no y intercept, so we will eliminate option A, and B because they have values for y intercept.
Since one of the solutions of x, is negative 2, we will consider a function with positive equation.
f (x) = x² + 2x
solve for x;
x ( x + 2 ) = 0
x = 0 or x + 2 = 0
x = 0 or - 2
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What is the range of exponential function g?
A. g ( x ) < 0
B. g ( x ) > - 6
C. all real numbers
D. g ( x ) < 10
The range of exponential function g is g(x) > -6.
What is Exponential Function?The formula for an exponential function is f (x) = aˣ, where x is a variable and an is a constant that serves as the function's base and must be more significant than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Given the graph of an exponential function,
the graph shows that It starts out as a horizontal line and then grows slowly before accelerating.
the horizontal line is parallel to the x-axis,
from the graph, we find that the function grows from -6,
so the function is f(x) > -6.
Hence option B is correct.
Learn more about Exponential Function;
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