Answer:
x^21/5
Step-by-step explanation:
To change this expression to an expression with a rational exponent, we need to change the radical to a rational (fractional) exponent. Just as square root is a one half power and cuberoot is a one-third power, a fifth root is a one-fifth power.
Once the radical is changed to a fraction, we will just use the exponent rule that says when you raise a power to a power, you multiply exponents.
see image.
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10, 16, 20, and 28. There are two dots above 8 and 14. There are three dots above 18. There are four dots above 12. The graph is titled Bus 14 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 47, with a median of 16
Bus 14, with a median of 14
Bus 47, with a mean of 16
Bus 14, with a mean of 14
The median and mean are both higher for Bus 47, we can conclude that Bus 47 typically has the faster travel time compared to Bus 14.
What is measure of center?The "typical" value or central tendency of a dataset may be learned from center measures like the median and mean. They are constrained in several ways when it comes to summarising a dataset, though.
Secondly, measurements of the centre don't provide anything about the data's dispersion or variability. Two datasets, for instance, can have the same mean or median but very different levels of variability.
From the given data about the line plot the median and mean for the Bus are:
For Bus 47, the median is 16 and the mean is also 16.
For Bus 14, the median is 14 and the mean is also 14.
Hence, the median and mean are both higher for Bus 47, we can conclude that Bus 47 typically has the faster travel time compared to Bus 14.
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1000000 in standard form
Answer:
1000000 = 10⁶
Step-by-step explanation:
There are 6 zeroes in 1000000, so to convert it to its standard form we must take 6 as the exponent = 10⁶
Can someone please help me I will mark u brilliant
Answer:
M would be at (0,-2)
Step-by-step explanation:
The question asks you to rotate the image 180 degrees clockwise. Clockwise means towards the right, such as how a clock moves. Each axis is 90 degrees, so by moving it twice would land at (0,-2).
A horizontal line (such as the x-axis) is 180 degrees, so by mirroring the point, you would see the point is at (0,-2).
pls what is the nearest 100 of 49
Answer:
the nearest hundred is 50
At a snack bar, each medium drink costs $1.85 and each large drink cost c more dollars than a medium drink. If 5 medium drinks and 5 large drinks cost a total of $20.50, what is the value of c?
A) 0.45
B) 0.40
C) 0.30
D) 0.25
Answer:
B) 0.40
Step-by-step explanation:
m = 1.85
l = 1.85 + c
With 5 medium drinks and 5 large drinks:
C = 5m + 5l
20.5 = 5(1.85) + 5(1.85 + c)
20.5 = 9.25 + 9.25 + 5c
20.5 = 18.5 + 5c
5c = 20.5 - 18.5
5c = 2
c = 2/5 = 0.4
Use algebraic methods to find as many intersection points of the following curves as possible. Use graphical methods to identify the remaining intersection points. R = 6 sin theta and r = 6 cos theta the intersection point(s) is/are_______
(Type an ordered pair. Type exact answer for each coordinate, using phi as needed. Type the coordinate for theta in radians between 0 and phi. Use a comma to separate answers as needed)
The intersection points are (6, 6) and (-6, -6).
What is Intersection points?
The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.
The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.
6 sin(Ф) = 6 cos(Ф)
Dividing both sides by 6 and rearranging terms, we get:
tan(Ф) = 1
This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].
Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.
Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).
Therefore, the intersection points are (6, 6) and (-6, -6).
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help with horizontal asymptotes
Answer:
y = 3. last option is correct answer for 2nd question.
Step-by-step explanation:
f(x) just means y.
horizontal asymptote is y = 'something.'
the graph crosses y = 4, so y = 4 cannot be asymptote.
y = 3 is since the graph never quite touches it.
as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.
so the last option is the correct answer.
Help me please in need of it
Answer:
-2
Step-by-step explanation:
Substituting the points (0,2) and (1,0) into the slope formula, \(m=\frac{2-0}{0-1}=-2\).
Use a number line to show the sum of 6+(-7) ?
Answer:
-1
Step-by-step explanation:
When you make the number line, go to the middle then move left once. Then mark that " -1 " and you put the dot over that.
It's hard to explain how to write number lines.
Anyways, the problem equals -1 because 6-7 is negative 1. The + is there to confuse you.
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Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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there are 25 student in a class. five of then scored A and 10 of them score B while the other scored C for Biostatistics. if a student is selected at random, calculate the probability that the selected student scored A or B in biostastics.
There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.
To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.
Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):
Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.
Therefore, the probability that a randomly selected student scored A or B
in Biostatistics is:
Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.
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Which cross sections is possible in cylinders and cones
The cross-section of the cylinders and cones is always round.
What is a cross-section area?The cross-sectional area is the region of a two-dimensional shape produced when a three-dimensional object, such as a cylinder, is cut perpendicular to a preset axis at a point.
A cylinder is one of the most basic curvilinear geometric shapes and has traditionally been solid in three dimensions. In elementary geometry, it is regarded as a prism with a circle as its basis.
A three-dimensional geometric shape known as a cone has a flat base and a smooth, tapering vertex. A cone is made up of several line segments, half-lines, or lines that connect to a single point.
As a result, the cross sections of the cones and cylinders are always round.
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9) The 50 cars used by a firm were inspected. 10 had faulty brakes and 15 had faulty tyres. There were 2 cars with faulty brakes but good tyres. How many cars had good brakes and good tyres? The answer is 33
Based on the information, there are 25 cars with good brakes and good tires.
How to calculate the valueTotal cars = 50
Cars with faulty brakes = 10
Cars with faulty tires = 15
Cars with faulty brakes and good tires = 2
Let's calculate the number of cars with good brakes and good tires:
Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires
= 10 + 15 - 2
= 25
Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires
= 50 - 25
= 25
Therefore, there are 25 cars with good brakes and good tires.
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3. Which of the following could represent the sides of a right triangle?
Hint: use a? + b2 = c2
A boy was asked to multiply a number by 7/8
instead he divided the number by 7/8 and got the
result 15 more than the correct result The number is?
Answer:
So first you would do 15 x 7/8 which would get you 13.12500 but round it and you would get 13.125 as the original number. If you were trying to get the number it first asked you would do 15 x 13.125 = 196.87500, round that and you would get 196.875.
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
The graph of g is a vertical translation 2 units up of the graph of f.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Here, the two functions are f(x) = -2x
and Now, g(x) = f(x) + 2
g(x) we obtained by translating the graph f(x).
g(x) = -2x + 2
Implies f(x) is increased by 2 or graph translated 2 units upwards.
Thus, the graph f(x) is translated vertically upward by 2 units to g(x).
Hence, the graph of g is a vertical translation 2 units up of the graph of f.
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Please help me in this math problem
Answer:
Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!
(URGENT)!!!!!!!
Write one sentence that addresses the issue of globalization from the text and one sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers
Answer:
Step-by-step explanation:
One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.
One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence
What is the diameter of a circle with a circumference of 10.99 feet?
Given the central angle, name the arc formed.∠GQJarc circle 13A. GQJˆB. IJˆC. GJˆD. FHˆ
We have the arc that correspond to the central angle ∠GQJ.
We can draw it as:
When we name an arc we use the extreme points in the arc (or three, when we have two arcs that can be named in the same way).
In this case, we have to name this arc GJ.
Answer: GJ [Option C]
you buy milk in 1 gallon container.One portion of waffle requires 1.8 ounces of milk
Answer:
24/4. There are 16 ounces in a pound. How many ounces are in 7 pounds. In order to convert 3 pounds to ounces, you would divide 3 by 16. There are 4 quarts in a gallon. You have a recipe that calls for 9 gallons of milk.
Step-by-step explanation:
24/4. There are 16 ounces in a pound. How many ounces are in 7 pounds. In order to convert 3 pounds to ounces, you would divide 3 by 16. There are 4 quarts in a gallon. You have a recipe that calls for 9 gallons of milk.
Picture included!
Find the unknowns in the graph below:
All the values of x, y and z are,
z = 12.99
y = 7.01
x = 28.3 degree
We have to given that;
In a triangle,
Two angles are, 61.7 degree and 90 degree
And, One side is, 14.76.
Now, We can formulate;
sin 61.7° = Perpendicular / Hypotenuse
sin 61.7° = z / 14.76
0.88 = z / 14.76
z = 0.88 x 14.76
z = 12.99
And, By Pythagoras theorem we get;
14.76² = z² + y²
14.76² = 12.99² + y²
217.85 = 168.74 + y²
y² = 217.85 - 168.74
y² = 49.1
y = 7.01
And, By sum of all the angles in triangle, we get;
x + 61.7 + 90 = 180
x + 151.7 = 180
x = 180 - 151.7
x = 28.3 degree
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Ana works 25 hours a week at the library. If she is paid $10 an hour, and her net salary each week is $212.50, what percent of her salary is withheld for taxes?
Approximately 17.65% of Ana's salary is withheld for taxes.
To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.
Number of hours worked per week (H) = 25 hours
Hourly wage (W) = $10
Net salary (S) = $212.50
Calculate the total earnings before taxes:
Total earnings = Hours worked * Hourly wage
Total earnings = 25 hours * $10/hour
Total earnings = $250
Determine the amount of tax withheld:
Tax withheld = Total earnings - Net salary
Tax withheld = $250 - $212.50
Tax withheld = $37.50
Calculate the percentage of salary withheld for taxes:
Percentage withheld = (Tax withheld / Net salary) * 100
Percentage withheld = ($37.50 / $212.50) * 100
Percentage withheld ≈ 17.65%
Therefore, approximately 17.65% of Ana's salary is withheld for taxes.
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what is 8 & 3/4 x 3
(I need this today!)
3/4 x 3 = 9/4
Since you need to multiply first you add the 8 later after you solve the multiplication
8 9/4
Answer:
26 \(\frac{1}{4}\)
Step-by-step explanation:
8\(\frac{3}{4}\) = \(\frac{(8x4)+3}{4}\) = \(\frac{35}{4}\)
\(\frac{35}{4}\) x \(\frac{3}{1}\) = \(\frac{105}{4}\) = 26.25 = 26 \(\frac{1}{4}\)
6x^2+7+x-x^2 what is this ?
Answer:
5x^2 + x + 7.
Step-by-step explanation:
6x^2 + 7 + x - x^2
= (6x^2 - x^2) + (x + 7) // Rearranging the terms
= 5x^2 + x + 7
So, 6x^2 + 7 + x - x^2 simplifies to 5x^2 + x + 7.
Help me out here pleaseeeeeeeee
Answer: 5 pounds
Step-by-step explanation:
Think about it in order to find j you multiply 6 times c. If j=30 you divide 30 from 6 to find the value of c. This is why c is 5.
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What is the value of the expression when a = 2 and b = 3 ? 4a + b - 2 Question 1 options: 7 9 12
Answer:
9
Step-by-step explanation:
4 * 2 + 3 - 2 =
= 8 + 1 =
= 9
Ann 's car can go 132 miles on 4 gallons of gas. During a drive last weekend, Ann used 5 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.
Answer:
Ann traveled 165 miles on 5 gallons of gas
Step-by-step explanation:
First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.
Simplify
1/5(15x-5/6)-x+7/6
A bowl contains equal-sized gumdrops. If the bowl has 30 green gumdrops and 1 blue gumdrop, plot an X on the number line below which could represent the probability of randomly choosing a green gumdrop from the bowl.
Explain how you determined your answer.
Answer:
≈ 0.97
Step-by-step explanation:
Given that :
Number of green gum drops = 30
Number of Blue gum drops = 1
Total number of gum drops :
(Number of blue + number of green gum drops)
(30 + 1) = 31
Probability = Required outcome / Total possible outcomes
P(green gum drops) = number of green drops / total number of gum drops
P(green gum drops) = 30 / 31 = 0.967 ≈ 0.97
The point x will be drawn slightly to the right of the midpoint between the last two tick marks.