lect the correct answer.
Which of the following is the simplest form of this expression?
A.
B.
C.
D.
Answers
The equivalent expression of expression \(\frac{\sqrt[5]{a^4} }{\sqrt[3]{a^2} }\) is \(a^\frac{2}{15}\)
The given expression is \(\frac{\sqrt[5]{a^4} }{\sqrt[3]{a^2} }\)
This expression can be written as \(\frac{a^\frac{4}{5} }{a^\frac{2}{3} }\)
From the property \(\frac{a^m}{a^n}=a^m^-^n\)
So \(a^\frac{4}{5} ^-^\frac{2}{3}\)
Take the LCM of fractions which is 15
\(a^\frac{12-10}{15}\)
\(a^\frac{2}{15}\)
Hence, the equivalent expression of expression \(\frac{\sqrt[5]{a^4} }{\sqrt[3]{a^2} }\) is \(a^\frac{2}{15}\)
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Related Questions
Citrix Apps Apps CANVAS > Home EPB Intranet 7. -/2 points RogaCalcET4 13.5.017.Tutorial. Find r(t) and v(t) given a(t) and the initial velocity and position. a(t) = tk, v(0) = 4i, r(0) = 2; v(t) = r(t) = Additional Materials Tutorial +-12 points RogaCalcETA 19 rann
Answers
The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.
Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.
a = dv/dt
We have the following informations are available,
Initial velocity, v(0) = 4i
Initial position, r(0) = 2j
Acceleration at any time "t",
a(t) = tk
we have to determine the value of v(t) and r(t).
As we know, a(t) = dv(t)/dt = tk
integrating the above equation ,
v(t) = ∫tk dt = ( t²/2 )k + c
at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i
=> c = 4i
So, v(t) = ( t²/2 )k + 4i
Also, velocity is calculated by derivative of postion (r) with respect to time.
=> v(t) = dr(t) /dt
=> r(t) = ∫ v(t) dt
=> r(t) = ∫ ( t²/2 )k dt
integrating value of the right hand side,
r(t) = ( t³/2×3 )k +d
= (t³/6)k + d
At t = 0, r(0) = (0/6)k + d
=> r(0) = d = 2j
so, r(t) = (t³/6)k + 2j
Hence, the required position and velocity are
(t³/6)k + 2j and ( t²/2 )k + 4i.
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Given sec(x)=−8 with 90° < x < 180°. Find sin(2x)
(ii) Given sin(x)=−6/7 with 180° < x < 270°. Find sin(2x)
iii) Given csc(x)=−2 with 270° < x < 360°. Find cos(2x)
Answers
The answer to the problem is cos(2x) = 1/2
The relationship sin2(x) + cos2(x) = 1 and the fact that sec(x) is the reciprocal of cos(x) allow us to calculate cos(x) given sec(x) = -8 with 90° x 180°:
x's sec(x) = 1/cos(x) = -8
1/cos(x) = -8
cos(x) = -1/8
Now, we can apply the double-angle identity for sine to find sin(2x):
Sin(2x) equals 2sin(x)cos(x).
Since the range of x is 90° to x > 180° and we know that cos(x) = -1/8, we can calculate sin(x) using the identity sin2(x) + cos2(x) = 1:
sin²(x) + (-1/8)² = 1
sin²(x) + 1/64 = 1
sin²(x) = 1 - 1/64
sin²(x) = 63/64
sin(x) = ± √(63/64)
sin(x) = ± √63/8
Now, we can substitute sin(x) and cos(x) into the double-angle formula:
sin(2x) = 2(sin(x))(cos(x))
sin(2x) = 2(± √63/8)(-1/8)
sin(2x) = ± √63/32
(ii) Given sin(x) = -6/7 with 180° < x < 270°, we want to find sin(2x).
Using the double-angle identity for sine:
sin(2x) = 2sin(x)cos(x)
Since we know sin(x) = -6/7 and the range of x is 180° < x < 270°, we can determine cos(x) using the identity sin²(x) + cos²(x) = 1:
(-6/7)² + cos²(x) = 1
36/49 + cos²(x) = 1
cos²(x) = 1 - 36/49
cos²(x) = 13/49
cos(x) = ± √(13/49)
cos(x) = ± √13/7
Now, we can substitute sin(x) and cos(x) into the double-angle formula:
sin(2x) = 2(sin(x))(cos(x))
sin(2x) = 2(-6/7)(√13/7)
sin(2x) = -12√13/49
(iii) Given csc(x) = -2 with 270° < x < 360°, we want to find cos(2x).
Using the identity csc(x) = 1/sin(x), we can determine sin(x):
1/sin(x) = -2
sin(x) = -1/2
Since the range of x is 270° < x < 360°, we know that sin(x) is negative in this range. Therefore, sin(x) = -1/2.
Now, we can use the identity sin²(x) + cos²(x) = 1 to find cos(x):
(-1/2)² + cos²(x) = 1
1/4 + cos²(x) = 1
cos²(x) = 3/4
cos(x) = ± √(3/4)
cos(x) = ± √3/2
The double-angle identity for cosine can be used to determine cos(2x):
cos(2x) equals cos2(x) - sin2(x).
The values of sin(x) and cos(x) are substituted:
cos(2x) = (√3/2)² - (-1/2)² cos(2x) = 3/4 - 1/4
cos(2x) = 2/4
cos(2x) = 1/2
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3. Use the following diagram to solve for x.
Answers
The value of x from the given diagram is -6
Lines and anglesLine is defined as the distance between two points. Given the line RP with the following measures
RP = 17
RQ = x + 14
QP = x + 15
Using the expression
RP = RQ + QP
Substitute
17 = x + 14 + x + 15
17 = 2x + 29
Determine the value of x
2x = 17 - 29
2x= -12
x = -6
Hence the value of x from the given diagram is -6
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In the figure there are 5 equal rectangles and each of its sides is marked with a number as indicated in the drawing. Rectangles are placed without rotating or flipping in positions I, II, III, IV, and V in such a way that the sides that stick together in two rectangles have the same number. Which of the rectangles should go in position I?
Answers
The rectangle which should go in position I is rectangle A.
We are given that;
The rectangles A,B,C and D with numbers
Now,
To take the same the number of side
If we take A on 1 place
F will be on second place
And B will be on 4th place
Therefore, by algebra the answer will be rectangle A.
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Japanese multinational firms tend to use Japanese expatriate managers more than individuals who are from another country where a facility is located. These firms tend to follow the ________ approach to staffing.
Answers
Japanese multinational firms typically rely on Japanese expatriate managers rather than hiring individuals from the host country where their facility is located. This staffing approach is known as the "ethnocentric" approach.
The ethnocentric approach to staffing involves placing a high emphasis on the home country's managers when staffing international subsidiaries or branches. In the case of Japanese multinational firms, they tend to favor Japanese expatriate managers who are sent from the headquarters to oversee operations in foreign locations. This approach is influenced by several factors, including cultural preferences, language barriers, and the desire to maintain a strong control and communication channel between the headquarters and subsidiary.
Japanese firms often believe that Japanese expatriate managers possess the necessary knowledge, skills, and understanding of the company's culture and practices to effectively manage operations abroad.
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HELP NOW IT IS 6th GRADE MATH HELPPPPPP
Answers
Answer:
S=2t
or
T=1/2 S
6 1/5 × 5 =
please help me i dont know the answer
Answers
Answer:
31
Step-by-step explanation:
This would equal 31/5 because 5 x 6 is 30 and then 30 + 1 is 31. We keep 5 in the denominator.
So we’re left with 31/5 x 5
5 is the same as 5/1
So we technically have 31/5 x 5/1
When we multiply the two fractions, we’re left with 155/5
155 divided by 5 is 31
So our final answer is 31
Which of the following is the correct sequence of project phases? O A. Concept - Planning - Definition O B. Definition - Planning - Performance O C. Postcompletion - Performance - Planning OD. Performance - Concept - Planning
Answers
The correct sequence of project phases is Definition - Planning - Performance. The correct answer is B.
This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.
Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.
Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.
Therefore the sequence of project phase is Definition - Planning - Performance The correct answer is B.
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Assume that grass has 1500 calories of energy. How many calories are transferred to the
flea beetle? How many calories are transferred to the sparrow?
Answers
Answer:
Calories are transferred to flea beetle = 150 Calories
Calories are transferred to the sparrow = 15 Calories
Step-by-step explanation:
Given:
Calories in grass = 1,500 Calories
Find:
Calories are transferred to flea beetle
Calories are transferred to the sparrow
Computation:
According to food chain level only 10 % of Calorie transferred to the next level.
So,
Calories are transferred to flea beetle = 10% (Calories in grass)
Calories are transferred to flea beetle = 10% (1,500)
Calories are transferred to flea beetle = 150 Calories
Calories are transferred to the sparrow = 10% (Calories are transferred to flea beetle)
Calories are transferred to the sparrow = 10% (150)
Calories are transferred to the sparrow = 15 Calories
Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on the right will not be used.
Answers
Answer:
Bed A --- Third Option
Bed B --- Fifth Option
Step-by-step explanation:
Flower Bed A)
The formula for circumference is:
\(C=2\pi r\)
The diameter of A is 10 feet. So, its radius is 5 feet.
Substitute 5 for r. So, the circumference of Bed A is:
\(C=2\pi (5)=10\pi\text{ feet}\)
The formula for the area of a circle is:
\(A=\pi r^2\)
Substitute 5 for r:
\(A=\pi (5)^2\)
Square and simplify:
\(A=25\pi \text{ square feet}\)
So, the circumference of Bed A is 10π feet and its area is 25π square feet.
Therefore, match Bed A to the third option.
Flower Bed B)
The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:
\(C=2\pi (6)\)
Multiply:
\(C=12\pi\text{ feet}\)
Substitute 6 for r for the area formula:
\(A=\pi(6)^2\)
Square and simplify:
\(A=36\pi\text{ square feet}\)
So, Bed B has a 12π feet circumference and a 36π square feet area.
Therefore, match Bed B to the fifth option.
And we're done!
Can someone help me with this question?
Answers
To take the best notes in his science class, Jonas should sit next to his friends so they can share notes. near the front so he can see and hear the teacher. in the back of the room so he can watch everything. behind the smartest student so he can copy their notes.
Answers
Answer:
B. sit near the front so he can see and hear the teacher
Answer:
The person on top of me is correct ^
Step-by-step explanation:
Hope this helps! :)
help.... please
I will mark as brainliest
Answers
Answer:
216 and 64
Step-by-step explanation:
Answer:
1 ) Yes
2) No
perfect cubes are 216 and 64
³√64=4 } not have fraction so it's perfect cubes
³√216=6 } not have fraction so it's perfect cubes
Hope this helps
why did the girl wear glasses during math class
Answers
Answer:
Because she found it improves division.
Step-by-step explanation:
a political action committee launches a new advertisement aimed at building support for a policy that would expand health insurance to low-income americans through increased government funding. according to zaller’s receive-accept-sample (ras) model, who would be most susceptible to this message?
Answers
According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.
The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.
Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.
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what is the point-slope equation of the line with slope -12 that goes through the point (5,3)
Answers
Answer:
the correct answer is c
Step-by-step explanation:
because we use formule when we write a equation
b. Write and graph an inequality to represent the length l of each striped bass you are allowed to catch.
Answers
Answer:
a)
\(b\leq3\)b)
\(l\ge18\)
Explanation:
a) Let b represent the number of striped bass one is allowed to catch.
Since we're only allowed to catch at most 3 striped basses, that is, the number of striped basses can be less than or equal to 3 but not more, we can go ahead and write the inequality as seen below;
\(b\leq3\)See below the graph of the above inequality on a number line;
b) Let l represent the length of each striped bass
Since each striped bass must not be less than 18 inches long, that is, each striped bass can
be more than or equal to 18 inches in length but not less, we can go ahead and write the inequality as seen below;
\(l\ge18\)Graphing on a number line, we'll have;
(-3 1/3 n +1/6) + (1 3/6n - 3/12 )
- 2/6n-1/12
-29/6 n + 1/12
-11/6n - 1/12
- 11/6n+5/12
(-3 1/4d +3/5) -2 7/8 d +7 /10
Answers
Answer:
\(\frac{4080n+1585d-188}{240}\)
Step-by-step explanation:
I simplified it to the best possible state
S(-4, -6) and T(-7, -3); Find R
Answers
Based on the coordinates of S and T and the fact that R is the endpoint, the coordinates of R are (-1, -9).
What are the coordinates of R?S is the midpoint of RT which means that it can be used to find the endpoint of R.
Using the mid-point formula, the value of x for the endpoint R is:
-4 = (x - 7) / 2
-8 = x - 7
x = -1
The value of y for the endpoint R is:
-6 = (y - 3) / 2
-12 = y - 3
y = -9
The endpoint R has coordinates of (-1, -9).
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At lunch, Allan drank 2 pints of chocolate milk. How many fluid ounces is this equal to? i need answer asap
Answers
Formula: Multiply the volume value by 16.
Answer:
32 pints
Step-by-step explanation:
PLEASE HELP I NEED IT AS A FRACTION “your answer should be a simplified proper fraction like 3/5 a simplified improper fraction like 7/4” PLEASE HELP!!!
Answers
Hopes this helps you !
What are your 10 top fav social media aka tt dances? Winner gets BRAINLIST!
(i will choose by the best top 10) CHOOSE WISELY
tt stand for the popular social media we all know and love.( sadly BRAINLY wont let me write it)
Answers
Answer:
1. renegade
2. tap in
3. blinding lights
4. say so
5. wap
6. what you know about love
7. savage love
8. party girl
9. all about cake
10. go daddy go,
The function (x) = 0.42x + 50 represents the cost (in dollars) of a one-day truck rental when the truck is
driven x miles.
a. What is the truck rental cost when you drive 85 miles?
b. How many miles did you drive when your cost is $65.96?
Answers
a. The truck rental cost when you drive 85 miles is $85.7.
b. The number of miles driven when the cost is $65.96 is 0.42x.
a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.
f(x) = 0.42x + 50
Substituting x = 85:
f(85) = 0.42(85) + 50
= 35.7 + 50
= 85.7
Therefore, the truck rental cost when driving 85 miles is $85.70.
b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.
f(x) = 0.42x + 50
Substituting f(x) = 65.96:
65.96 = 0.42x + 50
Subtracting 50 from both sides:
65.96 - 50 = 0.42x
15.96 = 0.42x
To isolate x, we divide both sides by 0.42:
15.96 / 0.42 = x
38 = x
Therefore, the number of miles driven when the cost is $65.96 is 38 miles.
In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.
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a survey is conducted and the following results are recorded 360 students are taking a math course 280 are taking a physics course 300 are taking a biology course 100 are taking math and physics 120 are taking math and biology 110 are taking physics and biology 40 are taking math, physics and not biology 40 are not taking any of the courses a. how many are taking only math? b. how many are in the survey? c. how many are taking exactly two of the courses?
Answers
A) The total no. of students taking only maths is 220 students.
let's say the total no. of students taking only maths = M
M = 360 - (100 + 40) = 220 students.
B) The total no. of students in the survey is 960 students.
let's say the total no. of students in the survey = S
S = 360 + 280 + 300 - (100 + 120 + 110) + 40 = 960 students.
C) The total no. of students who are taking exactly two of the courses is 330 students.
let's say the total no. of students who are taking exactly two of the courses = T
T = 100 + 120 + 110 = 330 students.
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Examine the sequence of integers below.
26, 17, 8, -1, -10, -19
Which algebraic expression represents the nth integer in this sequences
Answers
Answer:it’s D
Step-by-step explanation:
Each time u subtract -9 and it keeps multiplying 9,18,27
An algebraic expression represents the nth integer in the given sequences is 35-9n.
Given that, the sequence of integers 26, 17, 8, -1, -10, -19.
What is an algebraic expression?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
From the given sequence 26, 17, 8, -1, -10, -19 we have a=26 and d=17-26=-9.
Now, put a=26 and d=-9 in an=a+(n-1)d, we get
an=26+(n-1)(-9)
=26-9n+9
=35-9n
Therefore, an algebraic expression represents the nth integer in the given sequences is 35-9n.
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plis help ill give brainliest !!!!!!!
Answers
Answer/Explanation:
It is the fourth one (Check the picture I put)
The exponent 1/2 basically means to find the square root of the numbers in the parentheses.
HOPE THIS HELPS!
Adele ate lunch at a restaurant. The bill came to $90. If she left a 15% tip, how much was the
tip?
Answers
Answer:
$13.50
Step-by-step explanation:
The total is $103.50.
an unnormalized relation is a table that has more than one row.
Answers
An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.
Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.
In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.
To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.
In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.
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write in expanded form then simplify:
1. 5 (a + 2b) - 3a
2. 4 (n - 2c) + n
Answers
Answer: 1. 2a + 10b
2. 5n - 8c
Step-by-step explanation:
1. 5(a + 2b) -> multiply each term in the bracket by 5. this will give 5a + 10b. then add the -3a to give 2a + 10b
2. 4(n-2c) -> multiply each term in the bracket by 4. this will give 4n - 8c. then add the n to give 5n - 8c
824 is between which two numbers ?
Answers
Answer:
823 and 825
Step-by-step explanation: i doubt this is what you meant but be more specific