Answers
The expression (\frac{a^2b^8}{a^-^6b^-^4} )^\frac{1}{2} is simplified to b²/a²
What are index forms?Index forms are defined as mathematical models that are written as exponential expressions such as a variable that is raised to a number or another variable.
It is also a way of writing numbers that are too large or small in more convenient forms.
Other names for index forms are standard forms and scientific notations.
From the information given, we have;
\((\frac{a^2b^8}{a^-^6b^-^4} )^\frac{1}{2}\)
Find the square root of the values, we have;
ab⁴/a⁻³b⁻²
Now, to form only positive exponents, we have;
a(a⁻³)b⁴(b⁻²)
add the exponents, we have;
a⁻²b²
b²/a²
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Related Questions
help me please, i really don't understand!!
Answers
Answer:
x plus 4 divided by 5 minus 9
x + 4 / 5 - 9
Answer:
it's ok no problem take care
lani uses 2 yards of ribbon to make 6 bows. each bow uses the same amount of ribbon. what fraction of a yard does she use for each bow?
Answers
Lani uses the fraction 1/3 of a yard of ribbon for each bow.
Calculating the fraction of ribbon used:Fractions represent a part of a whole, and are used to express values that are not whole numbers.
To find the required fraction divide the total amount of ribbon by the number of bows to find the amount of ribbon used per bow.
We also use the concept of fractions to represent the amount of ribbon used per bow as a part of a yard.
Here we have
Lani uses 2 yards of ribbon to make 6 bows. each bow uses the same amount of ribbon.
To find the fraction of a yard of ribbon used for each bow, we need to divide the total length of ribbon used by the number of bows.
Hence, The amount of ribbon used for each bow is:
=> 2 yards/ 6 bows
= 1 yards/3bow
Therefore,
Lani uses the fraction 1/3 of a yard of ribbon for each bow.
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Angle 1 is an alternate exterior to angle 8.
If angle 1 = 30 degrees, what is the measure of angle 8?
Answers
Answer:
If the two alternate exterior angles are from two parallel lines cut by a transversal, angle 8 would be 30 degrees.
Explanation:
Alternate exterior angles resulting from two parallel lines cut by a transversal are congruent.
What is the minimum velocity attained on the interval 0
Answers
Answer:
0.630
Step-by-step explanation:
Simply evaluating, we get v (0) = 1, v (0.31831) = 0.630, v (2) = 1.566. Thus, the minimum velocity over the interval [ 0, 2] is 0.630.
Solve for x. Round to the nearest tenth.
Answers
Using trigonometric function the value of x is 51.3°.
What is trigonometric function?
The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
Here Let us take the given right triangle as ABC.
∠A = x , ∠B = 90° and AB = 25 , AC= 40
Now using Cosine ratio then
Cos A = \(\frac{adjacent}{hypotenuse}\)
=> cos x = \(\frac{25}{40}\)
=> cos x = \(\frac{5}{8}\)
=> x = \(cos^{-1}\frac{5}{8}\)
=> x = 51.3°
Hence the value of x is 51.3°.
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Geometry Question Translation
Answers
The coordinates of Y' and Z' are given as follows:
Y'(3, 6).Z'(-2, 1).What are the translation rules?The four translation rules are defined as follows:
Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.Point X(0, -1) was translated to point X'(1,3), hence the translation rule is given as follows:
(x, y) -> (x + 1, y + 4).
Hence the coordinates of Y' and Z' are obtained as follows:
Y': (2 + 1, 2 + 4) -> Y'(3, 6).Z': (-3 + 1, -3 + 4) -> Z'(-2, 1).More can be learned about translation at brainly.com/question/29209050
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Which equation represents a linear function?
y= 4x (8 - x)
y= 22 + 13
y= -2
y= 7 – 3x
Answers
what is 5kg in the ratio of 7:3
Answers
Answer:
5000/750 = 20:3
Step-by-step explanation:
5kg = 5000g
5000:750 (divide by 10)
500:75 (divide by 5)
100:15 (divide by 5)
20:3
Can someone help me and show how to do it
Answers
Answer:
Step-by-step explanation:25
in a large population 54% of the people hav been vaccinated 3 people are randomly selected what is the probability that at least one of them has been vaccinated
Answers
The probability that at least one of the three people has been vaccinated is 92.8%.
Step-by-step explanation: Given, In a large population, 54% of the people have been vaccinated. Then, the probability that one person has been vaccinated is 54/100 = 0.54.
The probability that one person has not been vaccinated is 1 - 0.54 = 0.46. The probability that all three people have not been vaccinated is (0.46)³ = 0.097336. The probability that at least one person has been vaccinated is 1 - 0.097336 = 0.902664. Hence, the probability that at least one of the three people has been vaccinated is 92.8%.
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What is -2.53 rounded to the nearest hundredth
Answers
Answer:
-2.50
Step-by-step explanation:
3 is closer to 0then 10
Answer:
-2.53
Step-by-step explanation:
Already rounded to the nearest Hundredth
Tina got $500 for their 20th birthday and invested it in an account earning 1.5% interest compounded annually. Write and solve an exponential equation to determine how long it will take Tina's investment to grow to $800
Answers
bag contains red and blue marbles_ Two marbles are drawn without replacement: The probability of selecting a red marble and then a blue marble is 0.28. The probability of selecting & red marble on the first draw is 0.5. What is the probability of selecting a blue marble on the second draw, given that the first marble drawn was red? Select one or more: 1.78 b. none of the given answers is correct c,0.14 d.0.56
Answers
The probability of selecting a blue marble on the second draw, given that the first marble drawn was red is 0.56.
The bag contains red and blue marbles. Two marbles are drawn without replacement. The probability of selecting a red marble and then a blue marble is 0.28 and the probability of selecting a red marble on the first draw is 0.5.To find the probability of selecting a blue marble on the second draw, given that the first marble drawn was red; let's consider the formula of conditional probability: $$P(B|A) = \frac{P(A \cap B)}{P(A)}$$Where A is the probability of selecting a red marble on the first draw, and B is the probability of selecting a blue marble on the second draw.So the probability of selecting a blue marble on the second draw, given that the first marble drawn was red can be found as; $$P(B|A) = \frac{P(A \cap B)}{P(A)}$$ $$P(B|A) = \frac{0.28}{0.5}$$$$P(B|A) = \boxed{0.56}$$Therefore, the probability of selecting a blue marble on the second draw, given that the first marble drawn was red is 0.56. Answer: d. 0.56
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For the referenced datasets, locate the dataset in the Wooldridge/ISLR or MASS package and run a simple linear regression model in R and answer the following questions.
A. Locate the data within the package and find the definition of the variables in question.
B. What is the estimated simple regression function i.e. Y = B0 + B1*X
C. Interpret the slope coefficient.
D. Are the coefficients significant
E. What is the R-squared, how much percentage of variance in Y is explained by X.
1. Dataset 401K in Wooldridge, estimate the relationship between prate and mrate.
2. Dataset CEOSAL2 in Wooldridge, estimate the relationship between salary and ceoten.
3. Dataset SLEEP75 in Wooldridge, estimate the relationship between sleep and totwrk.
4. Dataset Boston in MASS, estimate the relationship between medv and lstat
5. Dataset Carseats in MASS, estimate the relationship between Sales and Advertising.
PS: Pay attention of case of the variable.
Choose a submission type
Answers
A. For Dataset 401K in Wooldridge, the data can be found in the "wooldridge" package. The variable in question is "prate" (participation rate) and "mrate" (matching rate).
The definitions of these variables can be obtained from the package documentation or by typing "?401K" in the R console.
B. To estimate the relationship between "prate" and "mrate" using simple linear regression, we can use the formula: mrate = B0 + B1 * prate. The estimated simple regression function would provide the values for the intercept (B0) and the slope coefficient (B1).
C. The slope coefficient in the simple linear regression model represents the change in the dependent variable (mrate) associated with a one-unit change in the independent variable (prate). In this case, the slope coefficient would indicate the change in the matching rate for each unit increase in the participation rate.
D. To determine if the coefficients are significant, we need to check their p-values. If the p-value is below a chosen significance level (e.g., 0.05), we can conclude that the coefficient is statistically significant. This indicates that the coefficient is unlikely to be zero, suggesting a meaningful relationship between the variables.
E. The R-squared (R²) value represents the proportion of variance in the dependent variable (mrate) that is explained by the independent variable (prate). It indicates the goodness of fit of the regression model. The R-squared value ranges from 0 to 1, with a higher value indicating a better fit and a larger percentage of variance explained by the independent variable.
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Introduction to Probability
Please show all work
Suppose you are taking an exam that only includes multiple choice questions. Each question has four possible choices and only one of them is correct answer per question. Questions are not related to the material you know, so you guess the answer randomly in the order of questions written and independently. The probability that you will answer at most one correct answer among five questions is
Answers
The probability of guessing the correct answer for each question is 1/4, while the probability of guessing incorrectly is 3/4.
To calculate the probability of answering at most one correct answer, we need to consider two cases: answering zero correct answers and answering one correct answer.
For the case of answering zero correct answers, the probability can be calculated as (3/4)^5, as there are five independent attempts to answer incorrectly.
For the case of answering one correct answer, we have to consider the probability of guessing the correct answer on one question and incorrectly guessing the rest. Since there are five questions, the probability for this case is 5 * (1/4) * (3/4)^4.
To obtain the probability of answering at most one correct answer, we sum up the probabilities of the two cases:
Probability = (3/4)^5 + 5 * (1/4) * (3/4)^4.
Therefore, by calculating this expression, you can determine the probability of answering at most one correct answer among five questions when guessing randomly.
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Let S be the part of the plane 2x+4y+z=2 which lies inthe first octant, oriented upward. Find the flux of the vectorfield
F=1i+1j+2k across the surface S
Answers
The flux of the vector-field F = 1i + 1j + 2k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.
Define Green's Theorem.Flux form of Green's Theorem for the given vector-field
φ = ∫ F.n ds
= ∫∫ F. divG.dA
Here G is equivalent to the part of the plane = 2x+4y+z = 2.
and given F = 1i + 1j + 2k
divG = div(2x+4y+z = 2) = 2i + 4j + k
Flux = ∫(1i + 1j + 2k) (2i + 4j + k) dA
φ = ∫ (2 + 4 + 2)dA
= 8∫dA
A = 1/2 XY (on the given x-y plane)
2x+4y =2
at x = 0, y = 1/2
y = 0, x = 1
1/2 (1*1/2) = 1/4
Therefore flux = 8*1/4 = 2
φ = 2.
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At a local mini-mart, the cost of a bottle of
soda at the corner store is $1.40, and the
cost of a bag of chips is $0.85. What
would it cost to get 3 bottles of soda and 8
bags of chips? What would it cost to get x
bottles of soda and y bags of chips?
Total cost, 3 bottles of soda and 8 bags
of chips:
Total cost, x bottles of soda and y bags
of chips:
Answers
Total cost, 3 bottles of soda and 8 bags of chips: 9.15, Total cost, x bottles of soda and y bags of chips: 1.25x + 0.9y as calculated from the provided material through mathematical concepts.
What are general mathematical concepts?These basic mathematics skills are addition, subtraction, multiplication, and division. Concepts included in basic math include learning shapes, patterns, fractions, decimals, percentages, exponents, ratios, scientific notation, and formulas.
What are 5 concepts of mathematics?The five fundamental concepts which we aim to consider briefly are those of natural number, unknown, postulate, function and group
What are the 4 basic concepts of mathematics?These functions such as addition, subtraction, multiplication, and division have their application present even in the most advanced mathematical theories.
The total price can be calculated as it is equal to the unit price multiplied by the quantity.
3*1.25 + 6*0.9
= 3.75 + 5.4
= 9.15
Then if we take it as x and y, we get the equation
1.25x + 0.9y
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Is this relation a function? Justify your answer.
Answers
Answer:
Can't see the problem. Send a picture of it.
Please i will give you 23 points\
Answers
Answer:
x ≈ 45.6°
Step-by-step explanation:
using the Cosine rule in the triangle
cos x = \(\frac{8^2+15^2-11^2}{2(8)(15)}\) = \(\frac{64+225-121}{240}\) = \(\frac{168}{240}\) , then
x = \(cos^{-1}\) ( \(\frac{168}{240}\) ) ≈ 45.6° ( to 1 dec. place )
Triangle BED is located at B(1,1),E(3,1), and D(2,5). If the triangle is dilated by 3, what is the new location of E?
Answers
Hope it helps!
Use the model to find 2/4 x 16
Answers
Answer:
8
Step-by-step explanation:
Reduce the fraction to 1/2 then multiply it by 8 which is 8:) this this helps! Plzz mark brainliest
Answer:
the awnser is 8
Step-by-step explanation:
1.divide the numbers
2/4 * 16
1/2 * 16
2. multiply the numbers
1/2 x 16
=8
hope this helps man
The base of a solid is a quadrant of a circle of radius a. Each cross section perpendicular to one edge of the base is a semicircle whose diameter lies in the base. Find the volume.
Answers
The volume of the given solid is πa³/4 cubic units.
Given that the base of a solid is a quadrant of a circle of radius a and each cross-section perpendicular to one edge of the base is a semicircle whose diameter lies in the base.
To find the volume of the solid, we'll integrate the area of the cross-section over the height of the solid.
Let us consider a cross-section with thickness dx at a distance x from the vertex of the quadrant, as shown in the figure below.
Here, the diameter of the semicircle forming the cross-section is 2(x + a).
Therefore, the radius of the semicircle is (x + a).
Area of the cross-section = Area of the semicircle= π[(x + a)²]/2
Volume of the solid = ∫Area dx from 0 to a= ∫π[(x + a)²]/2 dx from 0 to a= π/2 ∫(x² + 2ax + a²) dx from 0 to a= π/2 [(a³/3 + 2a²/2 + a³/2) - (0)] = πa³/4 cubic units
Therefore, the volume of the given solid is πa³/4 cubic units.
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At the grocery store, a big bag of candy costs $13.50 for a 5
pound bag. How much does it cost per pound?
Answers
Answer:
$2.70 Per Pound
Step-by-step explanation:
Please help me wit this
Answers
Answer:
240
Step-by-step explanation:
4 (-5)(-12)
4 (-5×-12)
4(60)
240
240
STEP BY STEP EXPLANATION
4 (-5)(-12)
4 (-5x-12)
4 (60)
240
hope it help :/3
A set of n=15 pairs X and Y values has a Pearson correlation of r=0.10. In each of the X values were multiplies by 2, then what is the correlation for the resulting data?
A. 0.10
B. -0.10
C. 0.20
D. -0.20
Answers
The correlation for the resulting data, when each of the X values were multiplied by 2, is r=0.10.
Explanation:
Given that, a set of n=15 pairs X and Y values has a Pearson correlation of r=0.10. And, in each of the X values were multiplied by 2, then we need to calculate the correlation for the resulting data.
When each of the X values is multiplied by 2, then the resulting correlation does not change. It is because the correlation coefficient of Pearson, r, only measures the linear relationship between two variables and not the scale of the variables.
Thus, the correlation for the resulting data, when each of the X values were multiplied by 2, is r=0.10.
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Imani sells shirts packed in boxes that are each 15in. x 10in. x 2in. Imani stacked 3 boxes and wrapped them with one piece of paper. How much paper did she use, not including overlap?
Answers
Answer:
She used 600 square inches of paper.
Step-by-step explanation:
Since the box are 15 in x 10 in x 2 in and are stacked on top of each other, they form a bigger rectangular prism with 15 in x 10 in x 6 in. In order to calculate how much paper she used, we need to calculate the surface area of this prism, this is done by using the following formulla:
surface area = 2*width*length + 2*width*height + 2*length*height
surface area = 2*15*10 + 2*15*6 + 2*10*6 = 300 + 180 + 120
surface area = 600 in².
She used 600 square inches of paper.
help me pleaseee!!!!!
Answers
Answer: 37.5%
Step-by-step explanation:
There are 8 separate area
and among them are 3 Cs.
Thus the probability is
⅜ times 100 = 37.5 (%)
what is 1 divided by 6 1/7
Answers
Brainliest?
To paint a wall, we have to find its.
A. Area
B. Perimeter
C. Length
Answers
Answer:
A. AreaStep-by-step explanation:
A wall is rectangular in shape. The area of a shape is used to determine the amount of space taken up by a 2Dimensional or surface.
So, the area of the wall will help determine the amount of space the paint will take.
3. Find x.
8x - 37
5x + 17
Answers
Answer:
18
Step-by-step explanation:
That's if the 2 equations are equal
The value of x for the given expressions will be 18.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expressions are 8x - 37 and 5x + 17. The value of x will be calculated as,
8x - 37 = 5x + 17
Arrange the like terms and solve for the value of x,
8x - 5x = 17 + 37
3x = 54
x = 18
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