The answer choice which best describes the solution of the given equation as represented above is; The equation has no solution.
Which is the best conclusion about the given equation?It follows from the task content that the answer choice which best reflects the solution of the equation be determined.
As evident in the task content; the given equation is;
-6x = -5 ( x - 1 ) - x
-6x = -5x + 5 - x
Therefore, we have that;
-6x = -6x + 5
Add 6x both sides of the equation so that we have;
-6x + 6x = 5
0 = 5......which does not hold true.
Hence, since 0 ≠ 5; it follows that the given equation has no solution.
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A sailor is on the top deck of a ship that is anchored near shore, 200 feet from a lighthouse. The sailor can see the top of the lighthouse by looking up at a 21° angle of elevation and can see the bottom of the lighthouse by looking down at a 14° angle of depression.
How tall is the lighthouse?
Enter your answer in the box. Round to the nearest tenth of a foot.
The height of the lighthouse is 76.4 feet.
What is the angle of elevation?
The angle is formed by the line of sight and the horizontal plane for an object above the horizontal.
We can use the concept of trigonometry to solve this problem. We know that the angles of elevation and depression are formed by the line of sight of the sailor and the height of the lighthouse.
We can use the tangent function to relate these angles to the height of the lighthouse.
Tangent of angle of elevation = opposite side / adjacent side
Tangent of angle of depression = opposite side / adjacent side
Let h be the height of the lighthouse.
tan(21) = h / 200
tan(14) = h / (200 + h)
now we can use these equations to find h,
h = (200 * tan(21)) = (200 * (opposite side/adjacent side)) = (200 * (h/200))
h = 200 * tan (21)
and
h = (200* h)/(200+h) * tan(14)
we can now use these equations to find the value of h.
h = 200 * tan(21) = 200 * 0.38197 = 76.394
Therefore, the height of the lighthouse is 76.4 feet (approx).
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Solve for mzA:
D
M/A=
C
101
B
The value of ∠A is 101°.
What is parallelogram?A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length. A parallelogram has adjacent angles that add up to 180 degrees.
Given a quadrilateral,
whose opposite sides are parallel, the figure is parallelogram,
property of a parallelogram says
ABCD is a parallelogram, where AB || CD and AD || BC.
Also, AB = CD and AD = BC
so ∠A = ∠C & ∠B = ∠D
given ∠C = 101°
so ∠A = ∠C = 101°
Hence the value of ∠A is 101°.
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Need help asap! Im confused, i dont get the question.
Answer:
6
Step-by-step explanation:
See the screenshot below.
3. Which of the following expressions is best represented by the model below? 1000 1000 A. 3x1 10 B. 3x-2 0009 X -1 C. 3x6 D. 3x 8
Answer:
A I THINK
Step-by-step explanation:
A new manufacturing process requires 45 minutes to produce a piece of furniture. If the old process took 1 hour and 20 minutes what is the percent of change in production time and is it a percent increase or a percent decrease? Round your answer to the nearest hundredth.
There is a percent decrease of about 43.75%
What is Percentage?Percentages are fractions with 100 as the denominator. In other words, it is the relation between part and whole where the value of whole is always taken as 100. They are used like fractions and decimals i.e ways to describe parts of a whole. While using percentages, the whole is considered to be made up of a hundred equal parts. The symbol % is used to show that a number is a percentage
New Process = 45 mins
Old Process = 1 hour and 20 minutes (80mins)
Increase/Decrease = Old Process - New Process
Increase/Decrease = 80 - 45
Increase/Decrease = 35
Therefore there is reduction in the manufacturing process;
% decrease = (35/80) x 100
% decrease = 43.75%
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can someone look at this please? it’s due in like five minutes
The inequality equations for the rides High-Bounce, Climb-A-Thon, and Twirl-O-Coaster are 55<h<7, h<60, and h>=58 respectively.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides.
Let the unknown height be h.
For the ride High-Bounce, the height requirement is between 55 and 72 inches tall.
This can be written in the inequality form as 55<h<72.
For the ride Climb-A-Thon, the height requirement is under 60 inches tall.
This can be written in the inequality form as h<60.
For the ride Twirl-O-Coaster, the height requirement is 58 inches minimum.
This can be written in the inequality form as h>=58.
The representations of these inequalities on number lines is given below.
Therefore, the inequalities are - 55<h<7, h<60, h>=58.
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Cmonnn I will give Brainly just be quick plssss
Answer:
D) 7----------------------------------
Solve the equation:
-3 - (- 8) - (- 2) = x-3 + 8 + 2 = x-3 + 10 = x10 - 3 = x7 = xx = 7Answer:
[tex] \sf \: d) \: x = 7[/tex]
Step-by-step explanation:
Given equation,
→ -3 - (-8) - (-2) = x
Now the value of x will be,
→ -3 - (-8) - (-2) = x
→ x = -3 - (-8) - (-2)
→ x = -3 + 8 + 2
→ x = 5 + 2
→ [ x = 7 ]
Hence, the value of x is 7.
what is the slope of line that passes through points (-2,7) and (-3,3)
Considering the expression of a line, the slope of line that passes through points (-2,7) and (-3,3) is 4.
What is a linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are the variables.m is the slope.b is the ordinate to the origin and represents the y-intercept of the line.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m can be calculated as:
m= (y₂ - y₁)÷ (x₂ - x₁)
Slope in this caseIn this case, being (x₁, y₁)= (-2, 7) and (x₂, y₂)= (-3, 3), the slope can be calculated as:
m= (3 -7)÷ (-3 -(-2))
m= (3 -7)÷ (-3 +2)
m= (-4)÷ (-1)
m= 4
Finally, the slope is 4.
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You are treating two of your friends to the movies tonight. Your parent gives you $70.
Tickets are $7 each. At the candy counter, you are buying snacks and drinks for your
friends as they find seats. Snacks are $2 each, and drinks are $2.25. You are trying to
decide what combination of snacks and drinks are possible given the money remaining.
You can only carry 4 drinks on a tray by yourself.
a. Write a system of inequalities for this situation, using x for the number of
snacks and y for bottles of water purchased.
b. Graph the system and find the vertices.
c. Indicate on the graph what combinations of snacks and drinks are possible.
Explain your reasoning in-depth.
d. Does every point within the feasible region represent a valid solution in this
context? Why or why not?
e. Denote one combination that is possible and one that is not. Explain your
reasoning.
f. Prove each of your answers to part (e) algebraically.
Please tell me each one of these answers! Thx
a. The system of inequalities for this situation can be represented as:
x (number of snacks) ≥ 0
y (number of bottles of water) ≥ 0
2x + 2.25y ≤ 70 (total amount of money remaining)
y ≤ 4 (maximum number of bottles of water that can be carried on a tray)
7x + 7y ≤ 70 (total cost of tickets and snacks/drinks cannot exceed the amount given)
b. To graph the system, we can start by plotting the inequality 2x + 2.25y ≤ 70. This represents all the points that satisfy the inequality and forms a boundary line for the feasible region. The line will be a boundary line because it is less than or equal to 70.
We can plot the inequality y ≤ 4 as a horizontal line at y = 4. This represents the maximum number of bottles of water that can be carried.
Finally, we can plot the inequality 7x + 7y ≤ 70 as a boundary line. This represents the total cost of tickets and snacks/drinks that cannot exceed the amount given.
The feasible region will be the area between these lines, above the x-axis and y-axis, and below the line y=4.
The vertices of this feasible region will be the intersection points of the three lines, which are (10,0), (0,10) and (8,4)
c. The combinations of snacks and drinks that are possible are the ones that fall within the feasible region. Any point within the feasible region represents a valid solution in this context, because it satisfies all the constraints and is within the budget.
d. Every point within the feasible region represents a valid solution in this context, because it satisfies all the constraints and is within the budget.
e. One possible combination is (8,4) which is 8 snacks and 4 bottles of water, this combination is possible because it's within the feasible region and satisfies all the constraints. One combination that is not possible is (12,3), it's not possible because it's not within the feasible region and doesn't satisfy the constraint y ≤ 4.
f. To prove that the combination (8,4) is possible, we substitute these values into the system of inequalities:
2(8) + 2.25(4) = 35 ≤ 70 (total amount of money remaining)
4 ≤ 4 (maximum number of bottles of water that can be carried)
7(8) + 7(4) = 56 ≤ 70 (total cost of tickets and snacks/drinks cannot exceed the amount given)
To prove that the combination (12,3) is not possible, we substitute these values into the system of inequalities:
2(12) + 2.25(3) = 30.5 > 70 (total amount of money remaining)
3 > 4 (maximum number of bottles of water that can be carried)
7(12) + 7(3) = 63 > 70 (total cost of tickets and snacks/drinks cannot exceed the amount given)
As all the inequalities are not satisfied, the combination (12,3) is not possible.
What is system of inequalities?A system of inequalities is a set of two or more inequalities that must be satisfied simultaneously. It is a way to represent a set of constraints using mathematical equations. These constraints can be related to a problem in a specific area, such as finance, engineering, or operations research. The solution set of a system of inequalities is the common set of solutions that satisfy all the inequalities in the system. The solutions can be represented graphically as a region in a coordinate plane called the feasible region, which is the set of all possible solutions.
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3. A 12 -foot-tall statue stands in the park and casts a shadow that is 18 feet long. How long is the shadow of a 3 -foot-tall child who stands next to the statue?
6.5 ft.
72 ft.
4.5 ft.
2 ft.
Raymond wants to know the costs of buying different numbers of songs for his MP3 player. The cost of each song is the same.
• Let s represent the possible number of songs Raymond could buy.
• Let d represent the amount of money, in dollars, Raymond would need to buy the songs.
Fill in the table for all missing values of s and d.
Number of songs, s
Amount of money ($), d
2
2.58
5.16
7
11
21.93
The table for all missing values of s and d should be completed as follows;
Number of songs, s Amount of money ($), d
2 2.58
4 5.16
7 9.03
11 14.19
17 21.93
How to fill in the table for all missing values of s and d?In order to have a proportional relationship and equivalent ratios, the variables s and d must have the same constant of proportionality.
Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = d/s
Constant of proportionality (k) = 2.58/2
Constant of proportionality (k) = 1.29.
When the amount of money (d) is 5.16, the number of songs (s) is given by;
s = d/k
s = 5.16/1.29
s = 4 songs.
When the number of songs (s) is 7, the amount of money (d) is given by;
d = ks
d = 1.29(7)
d = $9.03.
When the number of songs (s) is 11, the amount of money (d) is given by;
d = ks
d = 1.29(11)
d = $14.19.
When the amount of money (d) is 21.93, the number of songs (s) is given by;
s = d/k
s = 21.93/1.29
s = 17 songs.
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It costs $2.25 to rent bowling shoes. Each game costs $2.50. You have $12.25 in your pocket.
Write and solve an equation to find how many x games you can bowl.
Answer:
You can bowl up to 4 games.
Step-by-step explanation:
2.25 + 2.50x ≤ 12.25
Let x = the number of games you bowl
2.25 + 2.50x ≤ 12.25 Subtract 2.25 from both sides
2.25 - 2.25 + 2.50x ≤ 12.25 - 2.25
2.50x ≤ 10 Divide both sides by 2.50
[tex]\frac{2.50x}{2.50}[/tex] ≤ [tex]\frac{10}{2.50}[/tex]
x ≤ 4
2 Would the percent change be greater than or less than 50%
if the plants had grown to 8 inches instead of 9? Lesson 13
Answer: Less than
Step-by-step explanation:
The percent change is exactly what it sounds like, the percent that changed. and 1/9 is less that 4.5/9 (half of 9) so it is less than
9c-10(4c-2) I need help asap
Answer:
-31c + 20
Step-by-step explanation:
distribute
9c + -10 × 4c, -10 × -2
9c - 40c + 20
-31c + 20
Answer:
-31c+20
Step-by-step explanation:
You multiply the equation in the parenthesis by negative ten and then subtract it all from 9c
3. An aspirin manufacturer fills bottles by weight rather than by count. Since each bottle should contain 100 tablets, the average weight per tablet should be 5 grains. Each of 100 tablets taken from a very large lot is weighed, resulting in a sample average weight per tablet of 4.87 grains and a sample standard deviation of 0.35 grain. Does this information provide strong evidence for concluding that the company is not filling its bottles as advertised? Test the appropriate hypotheses using by first computing the P-value and then comparing it to the specified significance level.
As the p-value of the test, of 0.0002, is less than the significance level of 0.05, the information provide strong evidence for concluding that the company is not filling its bottles as advertised.
What are the hypothesis tested?At the null hypothesis, it is tested if the tablets are filled as advertised, that is, the mean is of 5 grains, hence:
[tex]H_0: \mu = 5[/tex]
At the alternative hypothesis, it is tested if the tablets are not filled as advertised, that is, if the mean is less than 5 grains, hence:
[tex]H_1: \mu < 5[/tex]
What is the test statistic?The equation for the test statistic is defined as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which the parameters are given as follows:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of these parameters for this problem are given as follows:
[tex]\overline{x} = 4.87, \mu = 5, s = 0.35, n = 100[/tex]
Hence the test statistic is of:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{4.87 - 5}{\frac{0.35}{\sqrt{100}}}[/tex]
t = -3.71.
What is the p-value?Using a t-distribution calculator, with a left-tailed test, as we are testing if the mean is less than a value, with 100 - 1 = 99 df, the p-value of the test is of:
0.0002.
Hence the information provide strong evidence for concluding that the company is not filling its bottles as advertised.
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The same number goes into each box to make the two ratios below equivalent.
4 0
36
Which number goes into both boxes?
6
09
12
18
27
Answer:
12
Step-by-step explanation:
4 / 12 = 12 / 36 so answer : 12
That was just by looking.....here is mathematical way :
4/ x = x/36 cross multiply
144 = x^2
x = 12
What is the product of the complex numbers below?
(3-2)(1+7i) please help
Answer:
6125555566/6661234567
N - 3 = -1
Answers
-2
3
2
-4
Answer:2
Step-by-step explanation:
N minus 3 equals negative 1
add 3 to both sides leaving the equation N = -1 +3 or N=3-1
3-1 equals 2
Pls, answer the question below.
Answer:
-6 , 19 , 29
Step-by-step explanation:
range = output which is required
domain = input which are given -2,3,5
simply plot the value domain one by one in given equation
please help with math
Answer:
B. 15, 20, ...
Step-by-step explanation:
You want to know which sequence of numbers has the steepest graph.
SlopeThe slope (steepness) of the graph is the ratio of the change in y to the change in x. Here, we presume the x-values for each of these sets of points are 1, 2, 3, 4, ....
That means the slope will be the difference of adjacent y-values. Subtracting the first from the second, we get ...
8 -4 = 4
20 -15 = 5
52 -50 = 2
7 -4 = 3
The sequence in which the values differ by 5 has the largest difference, so will have the steepest graph:
15, 20, 25, 30, ...
Equal letters represent equal digits, and different letters represent different digits, Find the 5-digit number ABCDE
Observing the given question, This is the problem of cryptarithmetic , Using the rules based on cryptarithmetics, The answer is 10890.
What do you mean by cryptarithmetic problem?Mathematical conundrums called cryptarithmetic problems use letters from the alphabet in place of the digits. Use the trial-and-error procedure while keeping in mind the aforementioned considerations to solve cryptarithmetic problems by replacing values for the letters. Depending on whether we have a carry from A+A or not, A can now either be 2 or 3. However, since E=2, A must be 3, and there is a carry as a result.
Why is cryptarithm important?Cryptarithm, a type of mathematical game where the object is to solve an arithmetic puzzle in which the numerical digits have been replaced with letters. Cryptarithm, a type of mathematical game where the object is to solve an arithmetic puzzle in which the numerical digits have been replaced with letters.
Applying cryptarithmetic rules,
First alphabets can't be zero and same digit can't be used for different alphabets.
we get, CBDE + ABAE = AEDCE as 9480+1410 = 10890
AEDCE = 10890.
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How to solve these problems?
The problems for production staff are solved as below.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
1. Knit
Number produced by 1 worker in a day = 50 pairs
Annual production goal = 780,000 pairs
Daily production goal = 780,000 / 260 = 3000 pairs
Production staff needed = 3000 / 50 = 60 workers
2. Tube
Number produced by 1 worker in a day = 40 pairs
Annual production goal = 946,400 pairs
Daily production goal = 946,400 / 260 = 3640 pairs
Production staff needed = 3640 / 40 = 91 workers
3. Athletic
Number produced by 1 worker in a day = 60 pairs
Annual production goal = 1,138,800 pairs
Daily production goal = 1,138,800 / 260 = 4380 pairs
Production staff needed = 4380 / 60 = 73 workers
4. Booties
Number produced by 1 worker in a day = 24 pairs
Annual production goal = 343,200 pairs
Daily production goal = 343,200 / 260 = 1320 pairs
Production staff needed = 1320 / 24 = 55 workers
5. Children's
Number produced by 1 worker in a day = 84 pairs
Annual production goal = 518,000 pairs
Daily production goal = 518000 / 260 = 1992.3 pairs
Production staff needed = 1992.3 / 84 = 23.7 workers
Hence the production staff needed has been solved.
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how to solve the correlation coefficient are between the age of a car X and the car is mileage why is 0.639 what percent of the variation in mileage cannot be explained by differences in the cars ages
The percent of the variation in mileage that cannot be explained by differences in the cars ages is 36.1%.
What is correlation coefficient?A statistical indicator of the strength of a linear relationship between two variables is the correlation coefficient. A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.
The correlation r between the age of a car x , and the cars mileage, y is 0.639. This means that 63.9 % of the variation in mileage can be explained by the differences in the cars ages, 100 – 63.9 = 36.1% of the variation cannot be explained.
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help please I need it
Answer:
x =5 units
Mark me as a brainiest
What is this expression in simplified form?
2/135*6 - 3√15*6
A. 9x³√10
OB. 8³/30
C. 119³√15
D. 3x³√15
4
Answer: The expression in simplified form is D. 3x³√15
To simplify the expression, we can first simplify the fractions.
2/1356 can be simplified to 12/225.
Then, we can use the distributive property to simplify the expression further.
12/225 - 3√156 = 12/225 - 18√15
The last step is to combine the terms,
12/225 - 18√15 = (-6/75) - (6√15) = -6/5 * (1/5 - √15) = -6 * (- √15/5) = 3 * √15 * 6
Therefore, the simplified form of the expression is D. 3x³√15
Step-by-step explanation:
In regression analysis, the error term e is a random variable with a mean or expected value of
1
x
0
u
You are given the following information about y and x.
Explanatory Variable Response Variable
3 5
1 3
4 4
3 6
5 8
a) The least squares estimate of the slope or b₁ equals
b) The least squares estimate of the intercept or b₀ equal
c) The point estimate of y when x=2 is
a) The least squares estimate of the slope (b₁) can be calculated using the formula:
b₁ = (n∑(xy) - (∑x)(∑y)) / (n∑(x^2) - (∑x)^2)
Where n is the number of observations, x and y are the explanatory and response variables, respectively.
b₁ = (5*(35+13+44+36+58) - (3+1+4+3+5)(5+3+4+6+8)) / (5*(3^2+1^2+4^2+3^2+5^2) - (3+1+4+3+5)^2) = 0.8
b) The least squares estimate of the intercept (b₀) can be calculated using the formula:
b₀ = (∑y - b₁*(∑x))/n
b₀ = (5+3+4+6+8-0.8*(3+1+4+3+5))/5 = 3.4
c) The point estimate of y when x=2 can be calculated using the equation of the line:
y = b₀ + b₁x
y = 3.4 + 0.82 = 4.8
So the point estimate of y when x=2 is 4.8
What are random variable?In probability and statistics, a random variable is a variable whose possible values are numerical outcomes of a random event. It is a function that maps outcomes of a random experiment to a real number. It can be discrete, meaning it can take on only a countable number of values, or it can be continuous, meaning it can take on any value within a given range. The probability distribution of a random variable describes the likelihood of different outcomes occurring. It can be used to calculate expected values, variances, and other measures of statistical dispersion.
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Create pattern with the rule n x 2
Step-by-step explanation:
n×2=?
The n means 1 then. 1×2 series
1 × 2 = 2
if 1,100 completely satisfied 740 somewhat satisfied 160 not satisfied what percent of the people surveyed were completely satisfied with the car?
The answer would be 55% because if you add 1,100 740 and 160 you get 2000 which means that 2000 people were surveyed then you'll do 1,100 by 200 and get 55 and that's your percent.
The percentage of the people surveyed who were completely satisfied with the car was 55 %.
How to find the percentage ?To find the percentage of people surveyed who were completely satisfied with the car, you first need to find the number of people who were survyed. This can be found by adding up all the number of people who participated in the survey :
= 1, 100 + 740 + 160
= 2, 000 people
The percentage of the people surveyed who were completely satisfied with the car is therefore:
= People completely satisfied / Number of people who participated x 100 %
= 1, 100 / 2, 000 x 100 %
= 55 %
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Loren and Julie have different part time jobs after school. They are both paid at a constant rate of dollars per he
The table below show Loren and Julie's total income (amount earned) for working a given amount of time.
Loren
Hours 2 4 6 8 10 12 14 16 18
Dollars 18 36 54 72 90 108 ? ? 162
Julie
Hours 3 6 9 12 15 18 21 24 27
Dollars 36 ? 108 144 180 216 ? 288 324
How much money would Julie eam for working 16 hours?
Since Julie earns a constant rate of $12 per hour, for working 16 hours based on mathematical operations, she will earn $192.
What are mathematical operations?The basic mathematical operations involve addition, subtraction, division, and multiplication.
These operations combine parts of the mathematical operations with their assigned operands and the equation symbol (=) to solve mathematical problems.
In this situation, we employ division and multiplication operations to solve the requirement.
Loren and Julie's Total Income Table
LorenHours 2 4 6 8 10 12 14 16 18
Dollars 18 36 54 72 90 108 ? ? 162
Loren's Constant Rate of Pay (Hourly Rate) = $9 ($162/18)
JulieHours 3 6 9 12 15 18 21 24 27
Dollars 36 ? 108 144 180 216 ? 288 324
Julie's Constant Rate of Pay (Hourly Rate) = $12 ($324/27)
Total hours worked = 16
Total earnings = $192 ($12 x 16)
Thus, when Julie works 16 hours, she earns $192.
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Pls, answer the question below.
Answer:
B. 3⁻⁴; E. 1/3⁴.
Step-by-step explanation:
1. rule is:
cᵃ:cᵇ=cᵃ⁻ᵇ;
2. according to the rule above:
3⁻⁸:3⁻⁴=3⁻⁸⁺⁴=3⁻⁴, then
3. correct answer is 'B'; 'E'.
