The fraction that is equivalent to a terminating decimal between 0.25 and 0.50 will be 2/5.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.
The decimal numbers are 0.25 and 0.50.
The decimal number that comes between the decimal numbers 0.25 and 0.50 will be an infinite number. Let the number be 0.40 which comes between the numbers 0.25 and 0.50.
Convert a decimal number into a fraction number. Then we have
0.40 = 0.40 x 10 / 10
0.40 = 4 / 10
0.40 = 2 / 5
The fraction that is equivalent to a terminating decimal between 0.25 and 0.50 will be 2/5.
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Find the value of tan W rounded to the nearest hundredth, if necessary.
U
50
40
W
!!
In the right angle triangle UVW and with help of Pythagoras Theorem, the value of tan W, rounded to the closest hundredth, is 4.55.
What is Pythagoras Theorem?According to Pythagoras's Theorem, the square of a right angle triangle's hypotenuse side is equal to the sum of the squares of its other two legs.
The opposite side is the 40 units, while the hypotenuse side is 41 units long in the right angle triangle. Thus, the value of base side W is,
[tex]VW^{2} + 40^{2}=41^2\\VW=\sqrt{41^2-40^2}\\VW= 9 units[/tex]
Now tan W=[tex]\frac{UV}{VW}[/tex]=[tex]\frac{41}{9}[/tex]=4.55;
In the right angle triangle UVW and with help of Pythagoras Theorem, the value of tan W, rounded to the closest hundredth, is 4.55.
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Please help this for algebra! :)
Answer: y= -8x + 9.5
Step-by-step explanation:
The equation for slope intercept form is y=mx+b
b is the y-intercept; we see that it is located at (0, 9.5), so b is 9.5
The slope is rise/run
We see that the y decrease by 8 and x increases by 1, so the slope is -8/1
So the answer is y= -8x + 9.5
what is the roots to, x^4-x^2-20=0
The roots of the given equation are √5, - √5, 2i, and - 2i
Roots of a polynomial:The values of a variable for which the provided polynomial equals zero are referred to as a polynomial's roots. If n is the root of a polynomial p(x), then p(n) will be equal to zero.
Here we have
x⁴- x²- 20 = 0
To find the roots of the Equation factorize the given equation
=> x⁴- x²- 20 = 0
Let t = x²
=> t²- t - 20 = 0
Split the middle term
=> t²- 5t + 4t - 20 = 0
=> t(t - 5) + 4(t - 5) = 0
=> (t - 5) (t + 4) = 0
=> (t - 5) = 0 and (t + 4) = 0
Take t - 5 = 0
=> t = 5 => x² = 5
=> x = ±√5
Take (t + 4) = 0
=> t = - 4 => x² = -4
=> x = ± √- 4
=> x = ± 2i [ ∵ - 1 = i² ]
Therefore,
The roots of the given equation are √5, - √5, 2i, and - 2i
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what is x^(1.5-x)=3/2
Which trigonometric ratio should be used to find height (h) of the escalator? (MGSE9-12.G.SRT.7, MGSE9-12.G.SRT.8)
The trigonometric ratio is sin 10° = h/109
Which ratios in trigonometry are there?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). The branch of geometry known as trigonometry examines the sides and angles of a right-angled triangle.
What three types of trigonometry are there?
Three crucial trigonometric functions—sine, cosine, and tangent—are represented by the abbreviations sin, cos, and tan. tan
Given that :
Hypotenuse = 109 ft
Height = h
Hence sin = height / Hypotenuse
sin 10° = h/109
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What is the area of a figure?
Answer:
Area is calculated by multiplying the length of a shape by its width.
Step-by-step explanation:
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Area.
lightning strikes the number of lightning strikes on a square kilometer of open ground in a year has mean 6 and standard deviation 2.4. (these values are typical of much of the united states.) the national lightning detection network (nldn) uses automatic sensors to watch for lightning in a random sample of 10 one-square-kilometer plots of land. (a) what are the mean and standard deviation of x, the sample mean number of strikes per square kilometer? (b) explain why you cannot safely calculate the probability that x 5 based on a sample of size 10. (c) suppose the nldn takes a random sample of n 50 square kilometers instead. explain how the central limit theorem allows us to find the probability that the mean number of lightning strikes per square kilometer is less than
The probability that the mean number of lightning strikes per square kilometer is less than 5 is 0.0016, when open ground in a year has mean 6 and standard deviation 2.4.
Define mean.It imply a quantity that falls somewhere between the values of the extreme members of a set in mathematics. There are different types of means, and how they are calculated relies on the relationship that is known about or is regarded as governing the other members.
Given,
Mean = 6
Standard deviation = 2.4
The value that has been reduced by the population mean and divided by the standard deviation is called the z-value.
z = x - mean/ standard deviation/√n
z = 5 - 6/2.4/√50
z = - 2.95
Using table A, calculate the corresponding probability;
= P(x <5)
= P( z < -2.95)
= 0.0016
The probability that the mean number of lightning strikes per square kilometer is less than 5 is 0.0016.
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a group of nine people are attending the movies together. (a) two of the nine insist on sitting side-by-side. in how many ways can the nine be seated together in a row? 40320 (b) two of the people do not like each other and do not want to sit side-by-side. now how many ways can the nine be seated together in a row?
a group of nine people are attending the movies together . now 40320 ways can the nine be seated together in a row by combination.
(a) The two people who insist on sitting side-by-side can be seated in 1 way. The remaining 7 people can be seated in 7! ways. Therefore, the total number of ways in which the 9 people can be seated together in a row is 1 x 7! = 40320.
(b) In this case, the two people who do not like each other can be seated in (7-1)! ways. The remaining 7 people can be seated in 7! ways. Therefore, the total number of ways in which the 9 people can be seated together in a row by combination is (7-1)! x 7! = 40320.
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Find the zeros of the equation by factoring. x2 + 4x - 32 = 0
factors should have two whole numbers separated by a: + or - . Do not type parenthese and no spaces. Examples: x+5 x-4
Answer should have a comma between the two numbers. never use a + sign for positive numbers. Do not use any symbols. Use only numbers and a comma with no spaces. Examples: 6,-6 or -8,10. Do not use parenthesis or brackets.
Answer:
I guess this is the answer
Answer:
Step-by-step explanation:
(x+8)(x-4) = 0
x = -8
x = 4
h(x)=(32)x−1 the outputs
The possible outputs of the function for different values of [x] are given below.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.Given is the following function -
h(x) = 32x - 1
We can write the output for the given function as -
[x] h(x) = 32x - 1 h(x)
1 {32 x 1 - 1 = 31} 31
2 {32 x 2 - 1 = 63} 63
3 {32 x 3 - 1 = 95} 95
4 {32 x 4 - 1 = 127} 127
Therefore, the possible outputs of the function for different values of [x] are given above.
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The histogram summarizes the percentage of people in each state and the District of Columbia who identify as Hispanic or Latino. Use the drop-down menus to describe the distribution of percentages shown in the histogram.
Can I know if the answers that I choosed are correct?
The smallest and largest possible range in the histogram summarizes the percentage of people in each state and the District of Columbia who identify as Hispanic or Latino is 0 - 4.9 and 45 - 49.9 respectively.
What is percentage?As it is clear from the term, percent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given:
The histogram summarizes the percentage of people in each state and the District of Columbia who identify as Hispanic or Latino,
The Hispanic or Latino percentage of the population is shown in the x-axis, whereas the frequency of the population is shown in the y-axis.
Calculate the smallest possible range by considering the graph,
The smallest possible range = 0 - 4.9
Calculate the largest possible range by considering the graph,
The largest possible range = 45 - 49.9
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Answer:
skewed right
Step-by-step explanation:
I am not sure about the numbers, but it's skewed right i had the same question
PLEASE HELP WITH MY MATH HOMEWORK
ill give brainliest
3.) The height of the baseball can be modeled by the function Hs= -16s2+96s where s represents the time in seconds the ball is in the air after it is hit.
a) Write the function in factored form. _____________________
b) The factors from your answer in question 3a reveal something important about the situation. Describe what each of the factors means in terms of the height of the baseball and the time in seconds.
Answer:
a) The factored form of the function Hs= -16s2+96s is Hs = -16(s-3)(s-2).
b) The two factors in the factored form of the function, -16(s-3)(s-2), represent the maximum height of the baseball and the time at which the baseball reaches its maximum height. The first factor, -16, represents the maximum height of the baseball, since a negative value multiplied by the product of two positive values will always be negative. The second factor, (s-3)(s-2), represents the time at which the baseball reaches
or
a) Hs = (-16s + 48)(s - 2)
b) The factor (-16s + 48) represents the initial height of the baseball when it is hit, and the factor (s - 2) represents the time it takes for the baseball to reach its maximum height.
How do you find the actual size of an item from a scale drawing?
To find the actual size of an item, multiply the scale factor by the size of the item in the drawing
The scale factor is the ratio of the measurement of the new figure to the measurement of the original figure
Here, we are drawing an item on the paper, the size of the object on the paper maybe less than or greater than of original item
The dimensions of the actual item will be equal to the product of scale factor and the dimensions of the item on drawing.
If the scale factor is greater than 1, then the actual size will be greater than drawing, if the scale factor is between 0 to 1, then actual size will be less than drawing
Therefore, to find the actual size multiply the scale factor and size of drawing
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A lap around the track is 1/4 of a mile. Josie completes a lap in 1.3 minutes. If she continues at the same pace, how long will it take her to complete
a mile? Express your answer as a decimal in simplified form..
minutes
Answer:
5.2 or 5:12
Step-by-step explanation:
1.3*4 = 5.2 or 5:12. That's a pretty fast mile.
Question 2 Multiple Choice Worth 4 points)
(Budgeting LC)
An entry-level civil engineer earns an average bi-weekly net pay of $2,175.25. The engineer has created a monthly budget using the following percentages for expenses:
Percent
Housing
35%
Food/Household 10%
Savings
10%
Transportation
Debt
Entertainment
15%
5%
6%
Medical/Personal Care 5%
5%
4%
5%
Giving
Clothing
Miscellaneous
Which balance sheet correctly represents the engineer's income, expenses, and balance?
The balance sheet that correctly represents the engineer's income, expenses and balance is illustrated below.
How to determine percentages of income?We should know that a balance sheet is a summary of assets and liabilities and income and expenses of a legal person. We are told that the balance sheet shows a bi-weekly net pay.
This implies that a month has two bi-weeks, therefore every income and expense is multiplied by 2 to get the following figures.
Income Amount
Bi-weekly income $2,175.25
Total Monthly Income $4,350.50
Expenses Percent Amount
Housing 35% $1,522.68
Food/Household 10% $435.05
Savings 10% $435.05
Transportation 15% $652.58
Debt 5% $217.53
Entertainment 6% $261.03
Medical/Personal Care 5% $217.53
Giving 5% $217.53
Clothing 4% $174.02
Miscellaneous 5% $217.53
$4,350.50
Balance
Income $4,350.50
Expenses $4,350.50
Balance $0
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19 A trapezoid has an area of 216 square
inches. The length of its longer base is
two times the length of its shorter base.
If the height of the trapezoid is 8 inches,
what is the length of the shorter base?
A 18 in.
C 12 in.
B 36 in.
D
16 in.
Answer:
A)18in.
Step-by-step explanation:
Given,
A trapezoid Area= 216 sq
The length of its longer base=2x
The length of its shorter base= x
Height of Trapezoid = 8in
Area of Trapezoid= 1/2h(a+b)
216=1/2 x 8(2x+x)
216=4(2x+x)
216/4=3x
54=3x
54/3=x
18=x
Length of shorter base=18
Length of longer base=2x18=36
Hence, the length of the shorter base is 18in
Option A) is correct
What is the slope of a line perpendicular to the line whose equation is 15x-18y=-486.
The slope of the line which is perpendicular to the given line is (-6/5).
Describe the negative reciprocal.
The negative reciprocal of a number, let's say "n," is "- (1/n).
We are aware of a line's equation in slope intercept form, y = mx + b, as well as the fact that perpendicular lines have slopes that are reciprocal to each other's negative values.
The slope intercept form of the line 15x - 18y = -486 can be expressed as,
-18y = -15x - 486.
- y = (-15/18)x - (486/18).
- y = (-5/6)x - 27.
y = (5/6)x + 27.
The slope of the supplied line is (5/6), making the perpendicular line's slope (-6/5).
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Calculate the expected value of the scenario.
which of the following is a true statement about data visualization? question 38 options: a) data presented in charts, graphs, and maps provides an accessible way to see and understand trends, patterns, and outliers. b) overall data quality is unimportant when data is presented visually. c) decision makers are equally adept at perceiving data patterns when data is provided in tables or charts. d) decision makers often experience information overload when mathematical relationships (such as a regression line) are illustrated visually rather than as formulas.
The statement which is true about Data Visualization is:
a) Data presented in charts, graphs, and maps provides an accessible way to see and understand trends, patterns, and outliers.
Data Visualization:
Data visualization is the representation of data using common graphics such as charts, diagrams, infographics, and even animations. The visual representation of this information can communicate complex data relationships and data-driven insights in an easy-to-understand manner.
Data visualization can be used for many purposes, but it's important to note that it's not just for data teams. Executives also use it to teach organizational structure and hierarchy, and data analysts and data scientists use it to discover and explain patterns and trends. Harvard Business Review (link is outside IBM) categorizes data visualization into his four main objectives: idea generation, idea expression, visual discovery, and everyday data visibility.
Importance:
Data visualization provides a quick and effective way to communicate information in a universal way using visual information. Practice also helps businesses understand the factors that influence customer behavior. Identify areas that need improvement or need more attention. Make data more memorable for stakeholders. Understand when and where to place specific products. Then, Predict sales volume.
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What is 12 x 12 x 12 x 66
Answer:
Step-by-step explanation:
114048
Answer:
114048
Step-by-step explanation:
If 4x - 16 = 32, what is 4x?
Answer: X = -12
Step-by-step explanation:
-4x-16=32
We move all terms to the left:
-4x-16-(32)=0
We add all the numbers together, and all the variables
-4x-48=0
We move all terms containing x to the left, all other terms to the right
-4x=48
x=48/-4
x=-12
Answer:
x=12
Step-by-step explanation:
Given,
4x-16=32
4x=32+16(We transpose LHS to RHS)
4x=48
x=48/4
x=12
Hence, the answer is 12
Lily likes to collect records. Last year she had 12 records in her collection. Now she has 15 records. What is the percent increase of her collection?
Answer: 15 is a 25% increase of 12.
Step-by-step explanation: Difference of 12 and 15 = |12 - 15|/((12 + 15)/2) = 3/13.5 = 0.22222222222222 = 22.222222222222%
Meghan has a balance of $1,407 in her check register. The balance on her bank account
statement is $1,425.05. Not reported on her bank statement are deposits of $1,075 and
$120 and two checks for $795 and $289.95. What is her revised statement balance and
does her account balance?
Answer:
Below
Step-by-step explanation:
Statement =1425.05
1425.05 + 1075 + 120 - 795 - 289.95 = 1535.10 should be on her register.
(revised statement balance) her register does not 'balance' with what she has in her account
6x squared - 2x + 1 =0
Answer:
Step-by-step explanation:
6x^2-2x+1=0
6*6=36
36x-2x+1=0
34x+1=0
subtract 1 on both sides
34x=-1
divide both sides by 34
x=-0.0294117647059
Leveled Practice What conclusion can you make about the system of equations? 6y=12x+36 15y = 45x + 60 The slope of the first equation is second equation. The y-intercept of the first equation is y-intercept of the second equation. The system of equations has the slope of the the solution(s)
Answer:
Both lines intersect at the point (2, 10)
See the attached image
Determine the range of the following graph
The range of the graph is [-4, 11).
What is graph?A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.
In the given graph,
The value of the x coordinate varies from -8 to 11.
And the values of x shows the domain,
Therefore, domain is (-8, 11).
The y coordinate varies from -4 to 11.
And the values of y coordinate shows the range.
The value of y at 11 is open circle, So it shows open interval.
And at -4 it shows close interval.
So the range of the graph will be [-4, 11)
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Write a compound inequality for the graph shown below. Use x for your variable.
The interval is [4, 6], and the compound inequality is 2 ≤ x < 5 as indicated on the number line.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign.
It is an illustration of inequity.
This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.
So, the blue line runs from 12 and then to 5.
The solid dot at position 2 denotes inclusion, whereas the hollow dot at position 5 denotes exclusion.
Now,
x ≥ 2 and x < 5
Combine:
2 ≤ x < 5
Therefore, the interval is [4, 6], and the compound inequality is 2 ≤ x < 5 as indicated on the number line.
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Henry has a length of ribbon that is 6 1/4 feet long He needs 1 1/12 feet of ribbon to make a bow.
The answer to this Question based on Length is Yes he can easily make a bow with that
What is Length?
Length is a measurement of distance or size. It is the greatest of the three linear dimensions and is often denoted by the letter “L”. Length is commonly used to measure the size of objects, the distance between two points, or the magnitude of a displacement. Length can be measured in a variety of units such as inches, feet, meters, kilometers, or miles. Length is also used to determine the area of a two-dimensional shape, the volume of a three-dimensional shape, and the circumference of a circle. Length is an important concept in mathematics, physics, engineering, and other scientific disciplines. Length can also be used to describe how long something lasts, such as the length of a movie or a song.
we can see that length of henry ribbon that is available is 6 1/4 feet long ribbon which means 25/4 feet ribbon
= 6.25 feet of ribbon
whereas length of ribbon he needs is 1 1/12 feet ribbon to make a bow which is equal to
13/12 = 1.08 feet ribbon and he has 6.25 feet available hence he can easily make a bow with that
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the italian mathematician fibonacci is known for introducing what mathematical concept?
Fibonacci sequence is the mathematical concept which was introduce by Italian Mathematician Fibonacci.
Fibonacci sequence is the mathematical concept which represents the each succeeding number is sum of two previous numbers.Fibonacci start the sequence with number 1.Fibonacci sequence example is 1, 1, 2, 3, 5, 8,... so on.It also represent the concept of golden ratio.This mathematical concept is used flower , nature etc.Formula used for Fibonacci sequence is fₙ = fₙ₋₁ + fₙ₋₂value of golden ratio present in the nature is approximately equal to 1.618Therefore, Fibonacci sequence is the mathematical concept that was introduce by Italian Mathematician Fibonacci.
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X-y=-6
6x-3y=-9
Can you show the steps please
Answer:
Step-by-step explanation:
x-y=-6 (1)..
6x-3y=9 (2)...
First, multiply (1) by 6:
6x-6y=-36
Now subtract the whole eqaution:
6x-6y=-36
- 6x-3y=9
----------------------
-3y = -45
y=15
Now substitute y into one of the equations:
x-15=-6
x=9
So the answer is x=9, and y=15.