The degree of correlation required for significance reduces as the sample size increases. As a result, the correlation size needed to determine significance will be smaller.
The size of our sample and the sample size has an impact on the significance of a sample link. For results to be relevant for high sample sizes, a minimal correlation is required. Fewer correlations and linkages are required for significance as the sample size increases.
Each sampling distribution's variability declines with the sample number and gradually moves toward leptokurtic behavior. The sample distribution's range is smaller than the range of the initial population.
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many students are in the class? Pati
1. You take a test with 32 questions on it. You answer 24 questions correctly.
What percent of the questions do you answer correctly??
Answer: You take a test with 32 questions on it. You answer 24 questions correctly 92% percent of the questions do you answer correctly.
Step-by-step explanation: To solve this question we will simplify it logically,
Here, according to the statement given we have 32 question so we will find the differtence between the total number of given questions to the number of questions we solve correctly.
So there are 8 questions that we did wrong .
Now, we will find in percent , substract 8 out of 100% Then we will get the percent of the number of question taht are correct which is 92%.
8. Adrian is solving +1+2 His work is shown. Create common denominators for the fractions: 183 3 IN 2 x 12 182 12 X 3 12 Calculate the sum of the fractions: + Calculate the sum of the whole numbers: 4+ The sum is 8¹7 2 17 Did Adrian make a mistake, or did he arrive at the correct answer? Explain your response. If you think he arrived at the incorrect answer, provide the correct work and answer.
Answer:
Maths
Step-by-step explanation:
Maths
Maths is a great way to get a job and then she can u me a little more about it and let me know if maths is a good fit for me and I can make it work for you
Answer is:
Step-by-step explanation:
6
Find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y2=8x , and the line x+y=6.
Coordinates of the centroid are (_,_).
The centroid of the region is (3,1).
The centroid of a region is a point that is the average of all the vertices of the region. In other words, it is the point that is the center of mass of the region. To find the centroid of a region, we need to find the x and y coordinates of the vertices of the region and then take the average of these coordinates.
To find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y^2 = 8x, and the line x + y = 6, we need to find the x and y coordinates of the vertices of the region.
The parabola y^2 = 8x and the line x + y = 6 are the equations of the boundaries of the region. We can find the vertices of the region by solving for the points where these two equations intersect.
The parabola y^2 = 8x can be rewritten as y = ±√8x. So the x-coordinate of the vertex of the parabola is (3,3).
The line x + y = 6 can be rewritten as y = -x + 6. So the x-coordinate of the vertex of the line is (0,6) and (6,0).
So the three vertices of the region are (0,0), (3,3), and (6,0).
To find the x-coordinate of the centroid, we take the average of the x-coordinates of the vertices: (0 + 3 + 6)/3 = 3To find the y-coordinate of the centroid, we take the average of the y-coordinates of the vertices: (0 + 3 + 0)/3 = 1So the centroid of the region is (3,1).
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What is an equation of the line through (0, -3) with slope 25?
Answer:
y = (2/5)x - 3
Step-by-step explanation:
Brainliest pls
Answer: y = mx + b
y=-3 x=0 and m=2/5
-3 = (2/5)0 + b
Since 2/5(0) is 0, b must be -3
Step-by-step explanation: Since you know the slope and you know one point, all you have to do is plug the slope and the coordinates into the slope-intercept form and solve for b. You can check your answer by finding another point on the line and verifying that the equation works for that point, as well. Add the slope to the given point and you get ( 5 , -1 )
-1 = (2/5)5 - 3
-1 = 2 - 3 -1 = -1 So you know your answer is correct
ANSWER QUICK!
Given △ABC and △QRS
(picture below)
select two relationships that would prove △ABC ≅ △QRS by Side-Angle-Side (SAS) Similarity Theorem.
answer choices are in the second picture below
Options options A, B, D and F prove the triangle ABC is similar to triangle QRS by the side-angle-side similarity theorem.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle ABC is similar to triangle QRS by the side-angle-side similarity theorem.
A) AB/QR=BC/RS (Corresponding sides are in ratio)
B) ∠C≅∠S (Corresponding angles are equal)
D) AB/QR =AC/QS (Corresponding sides are in ratio)
F) ∠A≅∠Q (Corresponding angles are equal)
Therefore, options A, B, D and F are correct answers.
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Select the correct answers from each drop-down menu. Complete the steps in the proof that show quadrilateral KITE with vertices K ( 0 , - 2 ) , I ( 1 , 2 ) , T ( 7 , 5 ) , and E ( 4 , - 1 ) is a kite. Using the distance formula, K I = ( 2 − ( - 2 ) 2 + ( 1 − 0 ) 2 = 17 , K E = , I T = , and T E = . Therefore, KITE is a kite because .
KITE is a kite because each two opposite sides of kite are of equal length and satisfy the property of quadrilateral.
What is quadrilateral?
With four sides, four vertices, and four angles, a quadrilateral is a closed shape and a specific kind of polygon. Four non-collinear points are connected to form it. A quadrilateral's interior angles add up to 360 degrees in all cases.
Given:
K(0. -2), I(1, 2), T(7, 5) and E(4, -1).
We have to show a quadrilateral KITE is a kite.
We have to find the distance of each side of quadrilateral using the distance formula.
[tex]d = \sqrt{(x_2-x_1))^2+(y_2-y_1)^2}[/tex]
Here,
[tex]KI = \sqrt{(1-0)^2 + (2-(-2))^2} = \sqrt{1+16} = \sqrt{17} \\IT = \sqrt{(7-1)^2 + (5-2)^2} = \sqrt{36 + 9} = \sqrt{45} = 3\sqrt{5} \\TE = \sqrt{(4-7)^2 + (-1-5)^2} = \sqrt{(9 + 36)} = \sqrt{45} = 3\sqrt{5} \\KE = \sqrt{(4-0)^2 + (-1-(-2))^2} = \sqrt{x} = \sqrt{16 + 1} = \sqrt{17}[/tex]
Hence, KITE is a kite because each two opposite sides of kite are of equal length and satisfy the property of quadrilateral.
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Find the pressure in KN/m2 the exerted by a force of 90KN on an area 15m2
The pressure for the force of 90 KN applied to the area of 15 square meters will be 6 KN/m².
What is pressure?The force applied perpendicularly to an object's surface per unit area over which that force is distributed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units.
Given that the force is 90 KN and the area of the application is 15 square meters.
The pressure is calculated by the formula:-
Pressure = Force / Area
Pressure = 90 / 15
Pressure = 6 KN / m²
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Write the equation of a line with a slope of -2 and a y-intercept of 5. Responses y = −2x −5y = −2x −5 y = 2x +5y = 2x +5 y = 2x −5y = 2x −5 y = −2x +5 i only have 5 mins pls hurry
The linear function f with the given values is y = -2x + 5
How to determine the linear function f with the given values.From the question, we have the following parameters that can be used in our computation:
a slope of -2 and a y-intercept of 5
A linear equation can be represented as
f(x) = mx + c
Where
m = slope
c = y-intercept
This means that
m = -2
c = 5
Substitute the known values in the above equation, so, we have the following representation
y = -2x + 5
Hence, the function is y = -2x + 5
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Darren is purchasing a car that costs $11,000. He is taking out a simple interest loan at an annual rate of 3%. If he makes monthly payments over a period of 5 years, how much is his monthly payment?
$183.33
$191.67
$198.05
$210.83
Darren makes $210.83 monthly payments over a period of 5 years. Therefore, option D is the correct answer.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, principal =$11,000, rate of interest =3% and time period = 5 years.
Now, S.I. =(11,000×3×5)/100
= $1650
Now, 11,000+1650 =$12650
In 5 years there are 60 months
So, 12650/60
= $210.83
Therefore, option D is the correct answer.
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Find the measure of the missing angles.
Answer:
<d=102°[Vertically opposite angles are equal]
<e=36°[Vertically opposite angles are equal]
<d+<f+<e=180°[Sum of angle on St.line supplementary]
or,102°+36°+<f=180°
or,<f=180°-102°-36°
:.<f=42°
*mark me brainliest
the total cost, c, of renting a canoe for n hours can be represented by a system of equation.
The expression which represents the total cost of renting is C = nx.
What is an expression?
An expression is a mathematical phrase that can contain numbers, variables, and operators. It represents a value or a calculation, but it does not necessarily have an equal sign (=) to indicate that it is an equation.
Let us consider that, renting a Canoe for one hour is $ x.
The total cost of renting is represented by C.
Since renting a Canoe for one hour is $ x.
So that, for n hours, renting cost = n*x
The total cost of renting, C= nx
Hence, the expression which represents the total cost of renting is C = nx.
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If f(x) =sqaureroot of x , which equation describes the graphed function?
As a result, if [f(x) is (x)], then the equation [y is f(-x + 2)] defines the graphed function.
which equation describes the graphed function?[y = f(-x + 2)] is the equation that describes the graphed function.
As stated in the question, a reference graph diagram and details on the function f(x), which equals the square root of "x," are given.
From the four possibilities provided, we are expected to select the equation that best explains the graphed function.
We will employ the trial-and-error approach to this problem, employing the possibilities to identify the best solution.
First off, the graph's x-axis and y-axis are both broken at (4, 0) and respectively (0, 2). As a result, [y = f(x)] requires that our equation be equal to 0 when (x = 4) is replaced and to 2 when (x = 0).
Taking into account option (A), we obtain, by substituting (x = 4) for (y = f[(- x) + 4] = sqrt[(- x) + 4]
y = sqrt[(- 4) + 4]
furthermore, y = sqrt (4 - 4)
furthermore, y = sqrt (0)
or, y = 0
The result of replacing (x = 0) is y= [(-0)+4]
or y = sqrt(4) or y = 2 or y = (4-0)
As a result, option (A) is satisfied at locations (4, 0) and (0, 2).
Similar results may be obtained for the other three possibilities by substituting and checking: for (x = 4), (y 0), and for (x = 0), (y 2).
As a result, if [f(x) = (x)], then the equation [y = f(-x + 2)] defines the graphed function.
A function in mathematics is an operator that, given an input, will carry out a predetermined series of operations.
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Find the area of the figure pictured below
Kurtiss has a client who wants to invest in an account that earns 6%
interest, compounded annually. The client opens the account with an
initial deposit of $4,000, and deposits an additional $4,000 into the
account each year thereafter.
Assuming no withdrawals or other deposits are made and that the
interest rate is fixed, the balance of the account (rounded to the
nearest dollar) after the fifth deposit is
If a client of Kurtis's opens an account that earns 6% compounded annually and deposits $4,000 initially with additional deposits of $4,000 each year for 5 years, the account's balance (future value) will be $27,901.27.
What is the future value?The future value is the amount of the present investments compounded into the future at an interest rate.
The future value can be determined using an online finance calculator as follows:
N (# of periods) = 5 years
I/Y (Interest per year) = 6%
PV (Present Value) = $4,000
PMT (Periodic Payment) = $4,000
Results:
Future Value (FV) = $27,901.27
Sum of all periodic payments = $20,000 ($4,000 x 5)
Total Interest = $3,901.27
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Answer:
$22,548
Step-by-step explanation:
I need help someone help me
Answer:
B,D,E
Step-by-step explanation:
Those should be you're answers
I missed the lesson today, I’m not exactly sure what to do for these.
Answer:
You graph them.
Go to desmos and put the equations in the calculator. It will graph them for you. Or you could graph them on paper, like the y-intercept is the amount you start with, like 11 or 2 in question 3. then you go two up and one to the side or 1 up and one to the side, depending on how many x there is. or how much the slope is. Like y=x+2 is where you start with (0,2) plot it and then you go one up, one to the side, and then repeat twice. Then plot the line. and in y=11-2x you plot (0,11) and then go down two, one to the side, and repeat twice. Then plot the line.
In question 4, y=3-2x, plot point (0,3) and then go two down, one to the side, and repeat twice. Plot the line. in y=1+2x, plot point (0,1) and then go two up, one to the side.
that's how you plot the slope equation.
Step-by-step explanation:
Question 1 When using the simple interest formula ( i = Prt ) the time t , is expressed inithe same period as the rate. True /False
The correct answer is true, When using the simple interest formula the time t, is expressed in the same period as the rate.
We can say that the answer is true due to the following reasons,
As we already know, the formula for simple interest is:
Simple Interest = Principal Amount * Rate of Interest * Time of interest
Here the Principal amount is the amount that is deposited and over which we will be receiving our interest.
We all know the rudimentary rule of solving any question is that the units and dimensions of the variables and values should be correct. It means that when we are solving any question where the unit being used is different from the required one, we need to perform unit conversion to get the necessary unit.
When it comes to Simple Interest, the variable unit is time, that is, it can be in hours, days, weeks, months, or years. The rate of interest is generally given in "per annum" which means 'per year.' Therefore we need the unit of time in the year or according to the unit in which rate is given to us.
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Use the distributive property to multiply 7 x 9.
Enter your answer by filling in the boxes.
7x9=7x (5+ ? )
7x9=( ? x5)+(7x ? )
7x9= ? + ?
7x9= 63
The product of each addend times the third number (7 x 9 = 63) is the sum of two numbers multiplied by a third number.
What property is used to multiply?The distributive, commutative, associative, removes the neutral element, and associative properties of multiplication.Similar to 7 x 9 = 63, 7 x 9 = 7(4 + 5) = (7 x 4) + (7 x 5) = 28 + 35The associative quality of addition The amount remains unchanged when the order of the addends is changed. For instance, (2 + 3) + 4 = 2 + (3 + 4); (2 + 3) + 4 = 2 + ((3 + 4); Right parenthesis plus 2, plus, left parenthesis plus 3, plus, 4, equals 2, plus, right parenthesis plus.According to the commutative property of multiplication, changing the order of the elements has no impact on the final result. As an illustration, consider the following 4 × 3 = 3 × 4 4 x 3 = 3 x 4 = 4 x 3 = 3. Ab = ba when multiplying. Simply stated, this law adds that.To learn more about multiplied refer to:
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What is the range of y=|x-4|-2
Domain of y=|x-4|-2 : (-∞, ∞) by -∞ < x < ∞
Range of y=|x-4|-2: [-2, ∞) by F(x) ≥ -2
What is meant by range of function?When a function is applied to its entire set of outputs, the set of outputs it produces is known as its range. The set of things that really leave the function machine after you give it all the inputs is referred to as the range in the metaphor. The set of possible output values for a function is its range.
The range of values that can be plugged into a function is known as its domain. The x values for a function like f are contained in this collection (x). The collection of numbers that the function assumes is known as its range. Following the insertion of an x value, the function outputs this sequence of values.
Domain of y=|x-4|-2 : (-∞, ∞) by -∞ < x < ∞
Range of y=|x-4|-2: [-2, ∞) by F(x) ≥ -2
Axis interception points of |x - 4| - 2:
X Intercepts: (2, 0), (6, 0), Y Intercepts: (0, 2)
Asymptotes of |x - 4| - 2 : None
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SOMEONE PLEASE HELP does anyone know the answers for
I can only attach one image
Exploring Congruent Triangles - Alternate Portfolio
So on solving the provided question we can say that here, in triangle ABC and XYZ; by SSS property they are similar.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
AB = XY
AC = XZ
BC = ZY
by SSS property, they are similar.
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5/8 divided by 2/3
show your work ;)
Answer:
[tex]\frac{15}{16}[/tex]
Step-by-step explanation:
We will use the rule of KCF (Keep, Change, Flip) to solve a problem where a fraction divides by a fraction. We will start out with our original expression:
[tex]\frac{5}{8} / \frac{2}{3}[/tex]
Then, we will keep the first number, change the division sign to multiplication, and flip the last fraction, giving us:
[tex]\frac{5}{8} * \frac{3}{2}[/tex]
Then, you multiply the numerators and denominators, giving you:
[tex]\frac{15}{16}[/tex]
Then, you cannot simplify further. So, your answer is [tex]\frac{15}{16}[/tex].
Hope this helped!
What's the numerator for the following rational
expression?
The numerator for the following rational expression G/h + 8/h = ?/h will be g + 8.
What is a rational expression?Simply put, a rational expression is the product of two polynomials. Or to put it another way, it is a fraction with polynomials as the numerator and denominator. A function whose value is determined by a rational expression is said to be rational.
Rational expressions resemble fractions with variable denominators and frequently, numerators as well. As you can see, there is h is denominator on both right hand side and left hand side. So, you can eliminate it and can consider all numerators as a whole at a time. Then, it will be: G+8 = G+8
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Complete question
What's the numerator for the following rational expression? G/h + 8/h = ?/h
Solve the right triangle if the hypotenuse is 5 and one acute angle is 34°. Round answers to two decimal places.
The other two sides of the triangle are 2.795 and 4.095 respectively.
What is the triangle?Generally, The right triangle is a right-angled triangle where one angle is 90 degrees.
If the hypotenuse is 5 and one acute angle is 34°, we can use trigonometry to find the other two sides of the triangle.
Using sine function, the side opposite to 34° angle is
=(sin 34°) * hypotenuse
= 0.559 * 5
= 2.7959
Using cosine function, the side adjacent to 34° angle is (cos 34°) * hypotenuse = 0.819 * 5
= 4.095
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Addison has x pennies and y nickels. She has a minimum of 16 coins worth no more than $0.40 combined. Solve this system of inequalities graphically and determine one possible solution.
Inequality 1
Inequality 2
From the graph, a possible solution to the inequalities x + y ≥ 16 and 0.01x + 0.05y ≤ 0.4 is (15, 2)
What is an equation?An equation shows how two or more numbers and variables are related to each other.
Let x represent the number of pennies and y represent the number of nickels. One penny = $0.01 and one nickel = $0.05
She has a minimum of 16 coins, hence:
x + y ≥ 16 (1)
Also:
It is no more than $0.40 combined, hence:
0.01x + 0.05y ≤ 0.4 (2)
From the graph, a possible solution is (15, 2)
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list 3 values that would make this inequality true: 42 <_ y
Answer:
42, 50, 60
Step-by-step explanation:
42 is less than or equal to y.
That means y is greater than or equal to 42.
Answer: 42, 50, 60
NO LINKS!!
1. An arithmetic sequence that has t(28) = 6 and t(22) = 42. Write a rule to describe the sequence.
2. Kim invested $5000 in a Mutual fund at 7.6% compounded quarterly.
a. Write an equation to represent this situation
b. When will her investment be worth more than $10,000.
Answer:
[tex]\textsf{1.} \quad a_n=174-6n[/tex]
[tex]\textsf{2.\;a)} \quad A=5000\left(1.019\right)^{4t}[/tex]
b) 9.25 years (to the nearest quarter)
Step-by-step explanation:
Question 1[tex]\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a_n$ is the nth term. \\ \phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]
Given terms of an arithmetic sequence:
[tex]a_{28}=6[/tex][tex]a_{22}=42[/tex]Substitute the given values into the arithmetic sequence formula to create two equations:
[tex]\implies a_{28}=a+27d=6[/tex]
[tex]\implies a_{22}=a+21d=42[/tex]
Subtract the second equation from the first equation to eliminate a and solve for d:
[tex]\implies 6d=-36[/tex]
[tex]\implies d=-6[/tex]
Substitute the found value of d into one of the equations and solve for a:
[tex]\implies a+27(-6)=6[/tex]
[tex]\implies a-162=6[/tex]
[tex]\implies a=168[/tex]
Substitute the found values of a and d into the formula to create an equation for the nth term of the sequence:
[tex]\implies a_n=168+(n-1)(-6)[/tex]
[tex]\implies a_n=168-6n+6[/tex]
[tex]\implies a_n=174-6n[/tex]
Question 2[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given values:
P = $5000r = 7.6% = 0.076n = 4 (quarterly)Substitute the given values into the compound interest formula to create an equation with respect to time, t:
[tex]\implies A=5000\left(1+\dfrac{0.076}{4}\right)^{4t}[/tex]
[tex]\implies A=5000\left(1.019\right)^{4t}[/tex]
To find when the value of the investment will be worth more than $10,000, substitute A = 10000 into the equation:
[tex]\implies 10000 < 5000\left(1.019\right)^{4t}[/tex]
[tex]\implies 2 < \left(1.019\right)^{4t}[/tex]
[tex]\implies \ln 2 < \ln\left(1.019\right)^{4t}[/tex]
[tex]\implies \ln 2 < 4t\ln\left(1.019\right)[/tex]
[tex]\implies \dfrac{\ln 2}{4 \ln\left(1.019\right)} < t[/tex]
[tex]\implies t > 9.20672924...[/tex]
Therefore, the investment will be worth more than $10,000 from 9.25 years (to the nearest quarter).
A clothing store is going out of business. To sell their remaining inventory, the managers drop the price of each item $5 at the end of each week until the item sells. After 5 weeks, how much will the price of an item have changed?
Answer:
It would have changed by 25 dollars.
7. Select the proper order from least to greatest for 2/3, 1/6, 1/8, 10-
O A. 1,3,9/10, 7-
O B. 1, 10, 76,2/3-
O C.3, %10, 6, 18.
O D., %10, 2/3, 18.
Therefore , the solution of the given problem of order comes out to be
1/8 < 1/6 < 2/3 < 10 .
Define order.Thus putting things where they belong in accordance with some norm. The shapes in this image are arranged according to how many sides it have. Another illustration is to sort the integers 3, 12, 5, 2, and 9 from highest through lowest.
Here,
Given :
2/3 , 1/6 . 1/8 and 10
So ,
To form a proper order from least to greatest
Thus , ascending order:
So,
=> 1/8 < 1/6 < 2/3 < 10
Therefore , the solution of the given problem of order comes out to be
1/8 < 1/6 < 2/3 < 10 .
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Which expression is equivalent to (1/512) ^1/3? PLEASE HELP
Option D is correct, [tex](\frac{1}{512}) ^{\frac{1}{3} }[/tex] is equivalent to [tex](\frac{1}{64}) ^{\frac{1}{2} }[/tex]
What is Expression?An expression is combination of variables, numbers and operators.
Let us simplify using [tex]a^{\frac{n}{m} } =\sqrt[m]{a^{n} } :\sqrt[3]{\frac{1}{512} }[/tex]
Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} .\sqrt[n]{b} :\frac{1}{\sqrt[3]{512} }[/tex]
Factor and rewrite the radicand in exponential form :1/8
simplify using [tex]a^{\frac{n}{m} } =\sqrt[m]{a^{n} } :\sqrt{\frac{1}{64} }[/tex]
Rewrite their expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a}.\sqrt[n]{b} :\frac{1}{\sqrt{64} }[/tex]
Factor and rewrite the radicand in exponential form : 1/8
Hence, option D is correct, [tex](\frac{1}{512}) ^{\frac{1}{3} }[/tex] is equivalent to [tex](\frac{1}{64}) ^{\frac{1}{2} }[/tex]
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How do you decide whether to use absolute values or the distance formula to find the distance between any two given locations on the coordinate plane?
The absolute value will be used over distance coordinate formula when the line is parallel to either the y-axis or x-axis.
How to find the distance between two coordinates?The common formula to find the distance between two coordinates is expressed as;
D = √[(x₂ - x₁)² + (y₂ - y₁)²]
Now, this formula is very useful when the two coordinates don't have their x coordinates equal or y coordinates equal and when the line is parallel to either the y axis or x axis.
When we have a case where the line is parallel to wither the y or x axis, then it is pertinent to note that if one coordinate is negative and the other is positive, we know that opposites have the same distance from zero, hence have the same absolute value.
Thus, we can find the absolute value to get the length.
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