The half of the time that Arnold skied without falling is 712 as 2 x 356=712>223 .
Inequality is a mathematical statement that illustrates the connection between two expressions by using the inequality symbol. The phrases on both sides of an inequality sign are distinct. It indicates that the left expression should be larger or smaller than the right expression, or vice versa. When the link between two algebraic expressions is expressed using inequality symbols, literal inequalities arise.
The discrepancy represents the incident in which Kelvin skied for more than twice as long as anybody else in his family:
2f < 223
Here 223 is the time for Kelvin.
Check for Lori as follows:
2f < 223
2 x 55=110 < 223
Kelvin skied without falling more than twice as long as Lori.
Check for Vanessa as follows:
2f < 223
2 x 265=530>223
Check for Arnold as follows:
2f < 223
2 x 356=712>223
Kelvin skied without falling less than twice as long as Arnold.
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Complete question:
Kelvin wants to know whether he skied without falling more than twice as long as anyone else in his family. His dad tells him that he can check by using the inequality 2f < 223, where f is the time skied in seconds for each person. Plug the values for the time skied by each person into the inequality to find the answer.
Lori 55
Vanessa 265
Devon 172
Celia 112
Arnold 356
A manager's salary of N600 is increased by 12%. What is his new salary?
Answer:
672
Step-by-step explanation:First you need to change the percent into 12 over 100 times 600.then the result is 72.after that it says increased so you plus 600 plus 72 and that is the answer
What generally happens to the equilibrium wage when demand for workers is low and supplies high
Answer: An increase in demand or a reduction in supply will increase the equilibrium wage. A reduction in demand or an increase in supply will reduce the equilibrium wage.
Step-by-step explanation:
Wages in a competitive market are determined by demand and supply. An increase in demand or a reduction in supply will increase the equilibrium wage. A reduction in demand or an increase in supply will reduce the equilibrium wage.
I need help quick pleaseee
The slope of the tangent line to the graph g(x) = 2x⁴ at (-2,32) is -64.
What is the slope of the tangent to the graph of the given function?Given the function in the question;
g(x) = 2x⁴
Slope of the tangent line at (-2,32) = ?
Since 2 is constant with respect to x, the derivative of 2x⁴ with respect to x will be;
2 d/dx [x⁴]
Now, differentiate using power rule.
d/dx[ xⁿ ] = nxⁿ⁻¹ where n = 4
2( 4x³ )
8x³
Next, evaluate the derivative at x = -2
8( -2 )³
8 × -8
-64
Therefore, the slope of the tangent line is -64.
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Give an example of relation on R which is not a function but whose inverse is a function?
A relation on R which is not a function but whose inverse is a function is the relation defined by f(x) = x² - 1.
This relation is not a function because it is not injective, as the equation has two solutions for every x in R, i.e. there are two y values for each x. However, its inverse is a function since, for each y value, there is only one x value that satisfies the equation.
To illustrate, let x = 2, then y = 3, and the inverse f-1(y) = 2, making the inverse a function. The inverse of the relation is defined by
f-1(x) = √(x + 1).This can be confirmed by squaring both sides of the equation, which yields
[tex](\sqrt{x + 1)} )^2[/tex] = x + 1, and so x = [tex](\sqrt{x + 1)} )^2[/tex] - 1, which is the same equation as f(x).
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pls explain how to do this!!!
The explanation is in the picture
1 microcentury is equal to how many minutes
Answer:
53 minutes
Step-by-step explanation:
Fred scored 10 points five times in the first round of the game. He then lost 15 points in each of the second and third rounds. In the final round, he earned 40 points. What was Fred's score at the end of the game?
Answer: 60
Step-by-step explanation:
He earned 10 points 5 times
10 into 5 is 50
he lost 15 in rounds 2 AND 3
therefore 50 - 15 - 15
which is 20
the he earned 40 points in the final round
40 + 20 is 60
so fred scored 60 at the end of the game
Olivia makes and sells bracelets and necklaces. She can make up to 60 pieces per week, but she can only make up to 40 bracelets and 40 necklaces. Write and graph a system of inequalities that shows the combination of bracelets and necklaces that she can make if she wants to sell at least 30 items per week. If necklaces sell for $80 each and bracelets sell for $5 each, what is the most amount of money she can make in a week?
We wrote a system of inequalities, identified the graph and found that the maximum money made in a week as $3300.
What is meant by inequalities?
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
Let x be the number of bracelets and y be the number of necklaces.
Given Olivia can make up to 60 pieces per week.
So the inequality is: x + y ≤ 60
She can make less than or equal to 40 bracelets.
So the inequality is : x ≤ 40
She can make less than or equal to 40 necklaces as well in a week.
So the inequality is : y ≤ 40
She wants to sell at least 30 items per week.
x + y ≥ 30
x+y ≤60 can be written as
We can draw the inequalities as shown below.
x + y ≤ 60 as red
x ≤ 40 as green
y ≤ 40 as violet
x + y ≥ 30 as blue
The overlapping region of all inequalities is yellow.
The money made per week: 5x + 80y
We have to find the maximum money made.
The vertices of the yellow region are:
(0,30),(0,40),(30,0),(40,0),(20,40),(40,20)
The coordinates with negative values are neglected.
From this, 5*20 + 80 * 40 = $3300 is the maximum amount.
Therefore we wrote a system of inequalities, identified the graph and found that the maximum money made in a week as $3300.
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Ambers dinner bill is $36. 00 if amber leaves a 17% tip, how much tip will amber leave?
Answer:
$42.12
Step-by-step explanation:
if tip is 17% then she should pay 117% (this is 1.17)
$36 * 1.17 = $42.12
how to calculate slope and y intercept online
There are various online tools available to calculate the slope and y-intercept of a linear equation given two points or a slope and one point.
To calculate the slope and y-intercept, enter the necessary input data into the online calculator and click the "calculate" button. The output will provide you with the values of the slope and y-intercept of the line, as well as an equation of the form
y = mx + bwhere m is the slope and b is the y-intercept. This can be a useful tool for quickly finding the equation of a line or checking your own work.
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a soft-drink manufacturer bottles drinks with a machine that produces normally distributed weights. state law requires that no more than .3% (.003) of the bottles can have contents below the advertised weight (12 fluid ounces). the standard deviation of the content weight distribution is historically 0.04 fluid ounces. a mean setting of 12 ounces will result in 50% of the bottles having less than the advertised weight. a. true b. false.
The standard deviation of the content weight distribution is historically 0.04 fluid ounces. a mean setting of 12 ounces will result in 50% of the bottles having less than the advertised weight. This statement is false.
What is standard deviation?
The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.
Since the weight of the contents in the bottles follows a normal distribution, we can use the standard normal distribution to calculate the proportion of bottles that have contents below the advertised weight.
Let's define the random variable X as the weight of the contents in a bottle.
Then, we can standardize X by subtracting the mean weight (12 fluid ounces) & dividing by the standard deviation (0.04 fluid ounces):
Z = (X - μ) / σ
where μ = 12 and σ = 0.04.
We want to find the proportion of bottles that have contents below 12 fluid ounces, which is equivalent to finding the probability that Z is less than 0 -
P(Z < 0) = 0.5
This means that 50% of the bottles will have contents below the advertised weight if the mean setting is 12 ounces.
However, the problem states that state law requires that no more than 0.3% of the bottles can have contents below the advertised weight.
This means that we need to find the probability that Z is less than some value such that the area under the standard normal distribution to the left of that value is 0.003.
We can find this value using a standard normal distribution table or calculator -
P(Z < z) = 0.003
z ≈ -2.88
Therefore, the mean setting needs to be adjusted such that the mean weight of the contents is at least 12 + (-2.88) x 0.04 = 11.856 fluid ounces to ensure that no more than 0.3% of the bottles have contents below 12 fluid ounces.
Therefore, the statement in false.
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How to analyzing qualtrics data in spss?
Once data has been collected through Qualtrics, it can be downloaded in a variety of formats, including a CSV file that can be imported into SPSS for data analysis.
Qualtrics is a popular web-based survey tool used to create and distribute online surveys.
To import Qualtrics data into SPSS, follow these steps:
Open SPSS and create a new data file.
Go to "File" > "Import Data" > "CSV File" and browse to find the Qualtrics data file you want to import.
In the import wizard, select the CSV file and choose the appropriate options for handling missing values and delimiters.
Specify the variable properties, including the variable name, label, and measurement level.
Click "Finish" to complete the import process.
Once the data has been imported into SPSS, you can use various statistical analyses to explore the relationships between variables, test hypotheses, and generate charts and tables to summarize the data.
The exact analysis methods used will depend on the research questions and the nature of the data, but common techniques include descriptive statistics, correlations, regression analysis, and factor analysis.
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Help needed please llll
Answer:
A.
Step-by-step explanation:
The key for for the drawing would only make sense if 1 inch equals 16 therefore A is the answer.
Hope it helped!
Answer:
sorry im late but its A
Step-by-step explanation:
STUVWXYZ is a cuboid. M and N are the mid-points of
ST and WZ respectively.
Find angle
a SYW
b TNX
c ZMY
MN= 17.09 cm
NMV =16.31°
What is a Cuboid?A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid is short for "like a cube." A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces.
From the given image,
MV = 1/2 VS = 6cm (midpoint)
NV = 1/2YV = 5cm (midpoint)
MV = [tex]\sqrt{MV^2 + UV^2} = \sqrt{6^2 + 16^2}[/tex] = 17.09 cm
MN= [tex]\sqrt{MV^2 + MU^2} = \sqrt{6^2 + 16^2 + 5^2}[/tex] = 17.80cm
TanNMV = NU/MV = 5/17.09
= 16.31°
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Estimate the following difference by replacing each fraction with 0, 12, or 1.
78−611
Drag numbers to the boxes to complete your answer.
Numbers may be used more than once, or not at all.
The difference of the fraction expression 7/8 - 6/11 is 1/2.
What is fraction?
In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
To estimate the difference 7/8 - 6/11 by replacing each fraction with 0, 1/2, or 1 use the expression -
7/8 - 6/11
7/8 > 3/4 so round it to 1.
1/4 ≤ 6/11 ≤ 3/4 so round it to 1/2.
Now estimate the difference by replacing each fraction with 0, 1/2, or 1 -
7/8 - 48/88 ≈ 1 - 1/2 = 1/2
Therefore, it can be estimated that 7/8 - 6/11 is approximately equal to 1/2.
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your friend finds the slope and y - intercept of the graph of the equation y= 4x -3
Is your friend correct?
What is a 8-sided shape called?
An 8-sided polygon is called an octagon. The word "octagon" comes from the Greek words "okto," which means "eight," and "gonia," which means "angle."
An octagon is a two-dimensional shape that has eight straight sides and eight angles. All of the angles in an octagon add up to 1080 degrees, and each of the eight angles in a regular octagon (an octagon with equal side lengths and equal angles) measures 135 degrees.
Octagons are a common shape in geometry and can be found in a variety of applications, such as in architecture, art, and engineering. For example, many stop signs and traffic signals are octagonal in shape. In architecture, octagons are used in the design of buildings and rooms, and are often used to create interesting visual effects.
In summary, an 8-sided polygon is called an octagon, which is a two-dimensional shape with eight straight sides and eight angles.
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what is binomial theorem calculator
A binomial theorem calculator is an online tool that calculates the expansion of a binomial expression raised to a power
The binomial theorem, also known as the binomial expansion, describes the algebraic expansion of a binomial expression, which is a mathematical expression that consists of two terms. A binomial theorem calculator is an online tool or a software program that calculates the expansion of a binomial expression raised to a power. The binomial theorem calculator can quickly and easily perform this expansion for any given binomial expression and power.
For example, if we have the binomial expression (a + b) raised to the power of 3, the binomial theorem calculator will provide the expanded form:
(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
This expansion can be useful in many mathematical calculations and applications, such as probability theory, combinatorics, and algebraic equations.
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Give a general expression for the number of terms in the series: Σ k=m 3k
Answer:
The number of terms in the series is (n-m+3)/3, where n is the last term in the series.
Which sequence of transformations proves that shape I is similar to shape II?
A.
a 90° clockwise rotation about the origin, and then a dilation by a scale factor of 2
B.
a reflection across the x-axis, and then a dilation by a scale factor of 1.5
C.
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 1.5
D.
a reflection across the x-axis, and then a dilation by a scale factor of 2
E.
a reflection across the y-axis, and then a dilation by a scale factor of 2
what is integer array in c ?
In C programming, an integer array is a collection of integer values identified by a unique index within the array.
In C programming language, a whole number exhibit is an information structure that holds a grouping of number qualities. A cluster is an assortment of components of similar information type, where every component is recognized by a one of a kind record or position inside the exhibit. Number exhibits in C are proclaimed utilizing a particular language structure, which incorporates the information type and the size of the exhibit. For instance, to pronounce a number cluster with ten components, you can utilize the accompanying linguistic structure:
int myArray[10];
Once announced, you can get to individual components of the cluster utilizing their record, what begins from 0. For instance, to dole out a worth of 5 to the main component of the exhibit, you can utilize the accompanying sentence structure:
myArray[0] = 5;
In general, whole number exhibits are a helpful device in C programming for putting away and controlling assortments of number qualities.
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(Student Loans LC) A student is graduating from college in 18 months but will need a loan in the amount of $7,855 for the three remaining semesters. The student may either receive an unsubsidized or subsidized Stafford Loan. The terms of each loan are: Unsubsidized Stafford Loan: annual interest rate of 3.7%, compounded monthly Subsidized Stafford Loan: annual interest rate of 4.7%, compounded monthly What is the difference in the balance of the two loans at the time of graduation?
- 427.60
- 302.57
- 890.95
- 447.57
The difference between original loan and unsubsidized loans at the time of graduation is = 8302.57 - 7855 = $447.57
What is meant by a loan?
A loan is a type of debt that a person or other entity incurs. The lender advances the borrower a certain amount of money, typically on behalf of a business, financial institution, or government. The borrower accepts a specific set of terms in return, which may include any economic costs, interest, a repayment schedule, and other requirements.
The lender may occasionally need collateral to protect the loan and guarantee repayment. Major purchases, investments, renovations, debt reduction, and company endeavours are just a few uses for loans. Loans aid in the expansion of already existing businesses. The growth of an economy's total money supply and fostering competition are made possible by loans to new enterprises.
Given,
Time to graduate = 18 months
Amount of loan for 3 semesters = $7855
Unsubsidized loan
rate of interest = 3.7%
Subsidized Stafford Loan
rate of interest = 4.7%
Amount after 6 months for each loan
P = $7855
r1 = 3.7%
r2 = 4.7%
t (in years) = 18 months = 1.5 years
Number of times compounded in a year n = 12
Amount of Unsubsidized loan at the time of graduation
= [tex]P(1 + \frac{r}{n})^{nt}[/tex]
= [tex]7855(1 + \frac{0.037}{12})^{12*1.5}[/tex] = $8302.57
Amount of the Subsidized Stafford Loan at the time of graduation
= [tex]P(1 + \frac{r}{n})^{nt}[/tex]
= [tex]7855(1 + \frac{0.047}{12})^{12*1.5}[/tex] = $8427.60
Therefore the difference between the balance amount of the original loan and the unsubsidized loan at the time of graduation is
= 8302.57 - 7855 = $447.57
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[tex]x\sqrt{5} +4x\sqrt{5}[/tex]
From the above question we conclude that when [tex]\sqrt[x]{5} + \sqrt[4x]{5}[/tex] simplifies to
[tex]\sqrt[5x]{5}[/tex].
What is the simplifying expressions involving square roots?
In this case, we combined like terms by adding x√5 and 4x√5, which resulted in (x + 4x)√5 = 5x√5. This involves the distributive property of multiplication over addition, and simplification of expressions involving radicals.
We can simplify the given expression as follows:
[tex]\sqrt[x]{5} + \sqrt[4x]{5}[/tex]
= [tex]\sqrt[(x+4x)]{5}[/tex]
=[tex]\sqrt[5x]{5}[/tex]
Hence, [tex]\sqrt[x]{5} + \sqrt[4x]{5}[/tex] simplifies to [tex]\sqrt[5x]{5}[/tex].
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Amber plans to build a scale model of the Washington Monument. She will use a scale of for her model. The actual height of the monument is 555 feet. What should be the height of Amber's scale model?200
The height of Amber's scale model of the Washington Monument should be 2.775 feet.
According to given conditions :To find the height of Amber's scale model, we need to multiply the actual height of the Washington Monument by the scale factor:
Scale factor = 1/200
Height of Amber's model = (1/200) * 555 feet
Height of Amber's model = 2.775 feet
Therefore, the height of Amber's scale model of the Washington Monument should be 2.775 feet.
What is scale ?In mathematics, scale refers to the ratio between measurements of the real world and measurements of a model or a drawing. It is a way of representing an object or a phenomenon that is too large or too small to observe directly, by creating a scaled-down or scaled-up representation of it.
For example, in maps, the scale represents the ratio between distances on the map and distances in the real world. A scale of 1:50,000 means that 1 unit on the map represents 50,000 units in the real world. Similarly, in architectural drawings, the scale represents the ratio between the size of the drawing and the size of the actual building.
Scales are used in many fields, including engineering, architecture, cartography, and model making. They allow us to represent objects and phenomena in a way that is more manageable and easier to visualize, while preserving the important proportions and relationships between the different elements of the object or phenomenon.
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How do you solve systems of equations with back substitution?
To use back substitution to solve a system of equations, work backwards from the last equation to the first.
Back replacement is a strategy for settling frameworks of conditions by working in reverse from the last condition to the first. To settle an arrangement of conditions utilizing back replacement, follow these means:
Begin with the last condition in the framework and tackle for the variable with the biggest coefficient.
Substitute this worth into the second-to-last condition and tackle for the relating variable.
Keep subbing values from the tackled conditions into the excess conditions, working in reverse until all factors are settled.
Actually look at the arrangement by subbing the qualities into the first conditions.
Back replacement is a valuable technique for tackling frameworks of conditions, particularly when the conditions are in three-sided structure or when Gaussian disposal has been applied. Be that as it may, it may not be the most proficient technique for bigger frameworks, and different strategies, for example, grid reversal or Cramer's standard might be more suitable
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28. Invitations On Monday, you invited 2 friends to your party. On
Tuesday, each friend invited 2 other friends. On Friday, each of
those friends invited 2 more friends. How many
people were
invited on Friday? Write your answer as a power. Then find the
value of the power.
Number of people were invited on Friday is 2^3 = 8 and the value of the power is 3
Let's track the number of invitations over the course of the week:
Monday: 2 invitations
Tuesday: Each of the 2 friends invited 2 more friends, for a total of 2 x 2 = 4 invitations
Friday: Each of the 4 friends invited 2 more friends, for a total of 4 x 2 = 8 invitations
So on Friday, there were a total of 8 invitations. We can write this as 2^3, since we started with 2 invitations and multiplied by 2 three times (once for each round of invitations). Therefore, the value of the power is 3.
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Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches.the perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation
Answer:
Step-by-step explanation:
3q+7=40
3q=40-7
3q=33
q=11
Therefore, the required equation for this problem will be 3q+7=40.
Thank you
Thobeka wants to order a book that costs $56,56 the rand to dollar exchange rate is R17,25 to a dollar what is the price of the book in rands
Answer:
Step-by-step explanation:
The book is $56.56.
The rand to dollar exchange rate is R17.25 = $1
To find the price of the book in rands, simply multiply 56.56 x 17.25
= 975.66
The book would be R975.66 in rands.
the function f(x) is a quartic function and the zeros of f(x) are -5,-2,5 and 6. Assume the leading coefficient of f(x) is 1. write an equation of the quartic polynomial in standard form
The quartic polynomial in standard form is:
f(x) = x^4 - 4x^3 - 19x^2 + 106x - 300
Quartic Polynomial Standard Form.Since the zeros of the quartic function are -5, -2, 5, and 6, we can write the function as:
f(x) = a(x + 5)(x + 2)(x - 5)(x - 6)
where a is the leading coefficient of f(x).
Since the leading coefficient of f(x) is assumed to be 1, we have:
f(x) = (x + 5)(x + 2)(x - 5)(x - 6)
To write this in standard form, we need to expand the product:
f(x) = (x^2 + 7x + 10)(x^2 - 11x + 30)
Multiplying out the terms, we get:
f(x) = x^4 - 4x^3 - 19x^2 + 106x - 300
Therefore, the quartic polynomial in standard form is:
f(x) = x^4 - 4x^3 - 19x^2 + 106x - 300
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If an aqueduct had a distance of 53 miles, what would the drop (in feet) at the end destination if the slope is 0.1%?
As a result, the drop at the aqueduct's final destination is 279.84 feet.
What is percent?Percent is a term used to represent a part or a fraction of a whole expressed as a value out of 100. The word "percent" comes from the Latin phrase "per centum," which means "per hundred." Percentages are commonly used to express ratios or proportions of quantities, and are denoted using the symbol "%". For example, if a student answers 85 out of 100 questions correctly on a test, their score can be expressed as 85%, which represents the proportion of questions they answered correctly out of the total number of questions.
Here,
If an aqueduct has a distance of 53 miles and a slope of 0.1%, we can use the formula:
drop = distance x slope x 5280
where 5280 is the number of feet in one mile.
Substituting the given values, we get:
drop = 53 x 0.1/100 x 5280
= 279.84 feet
Therefore, the drop at the end destination of the aqueduct is 279.84 feet.
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