Answers
If you want to remove the power (3/4) the rule is that you multiply every power inside the brackets by 3/4.
2 has a power of 1
2^1 is the way you think of it.
(2^1)^3/4 = 2^(3/4). It would look like this.[tex]2^\frac{3}{4} [/tex]
(a ^2 ) ^(3/4) = 2^(6/4) which would look like this [tex]a^\frac{6}{4} [/tex]
which could be written as [tex]a^\frac{3}{2} [/tex] or a^1.5
x ^ (-5) can be written as [tex]x^\frac{-15}{4} [/tex] Notice that - 5 * 3/4 = - 15/4 It could also be written as 1/x^(15/4) That would get rid of the - sign.
(y ^ 8) ^(3/4) = y^(24/4) = y^6
On your page, number the questions from a to h
e is the only one I found to be correct. I will go through the errors. Sometimes I did not list them all. There's just too many of them. The key point is that all the powers are multiplied by 1/4. You need 4 letters or numbers to take 1 letter or number outside the root sign.
a
wrong because a should be 6/4 and not 5/4. As noted, this may not be the only error.
b
is because the y should be y^1 outside the root sign and y^2 inside the root.
c
is wrong because there should be a y^2 inside the brackets.
d
is wrong 2 should be 8 raised the the 1/4 power. 8^1/4
e
correct but I sure don't like z^0 sitting there.
f
has all kinds of problems. Start with the 268 That is wrong. If you are going to bring 36 inside the root sign, it should be 36^3 which is 44656. y is wrong and so is x. For x you will have to use the -15 somewhere.
g
is wrong. The 36 is not to be altered and if it is it must be done as it was in the above question
y should be to the 6/4
h
is wrong. You lost a y somewhere.
Remark
Up until now, the questions you have asked could have been answered and it would have cleared up any of the problems you have been having. This one is quite different.
It is extremely long and it supposes that you know the multiplication rule for powers. You must have been been taught something before you tackled this monster. You need to go to a help center if you are in school or ask a tutor if you are not. It is not you that's the problem. It's the question that's the problem. It is very long and there are all sorts of tricks in it. In my opinion, it's not really a fair question without a lot of help.
Related Questions
Natasha wants to use the fermi process to estimate the number of pennies that would fill a toy chest. as part of the process, she needs to estimate the volume of the toy chest. she figures the toy chest is about 50 in. long, 20 in. wide, and 20 in. tall. which estimate best approximates the volume of the toy chest? 2×103 in³ 2×104 in³ 2×105 in³ 2×106 in³
Answers
Answer:
Dimension of toy chest
Length =50 inches
Width = 20 inches
Height = 20 inches
Volume of toy chest = Length × Breadth ×Height
= 50 ×20 × 20
= 1000 × 20
= 20,000 inches cube.
[tex]=2\times 10^4 inches ^3[/tex] appears best approximation.
Option B
The perimeter of a rectangle is 26 inches and its area is 40 square inches. what are its dimensions?
Answers
Answer:
The shorter side is 5 inches and the longer side is 8 inches.
Explanation:
We start by listing formulas for solving for the area and perimeter of a rectangle, which will then determine how we find the dimensions we are looking for.
The area of a rectangle is length (l) times width (w), often represented as:
A = l(w), or A = lw
The perimeter of a rectangle is the sum of twice the length and twice the width, often represented as:
P = 2l + 2w
If product of length and width is 40 inches per the rectangle's given area, then a factor pair of 40 must be the dimensions of the rectangle. These values can then be checked to see if they also satisfy the perimeter of the rectangle.
So first, list factors of 40:
1, 40; 2, 20; 4, 10; 5, 8
Now, we plug these pairs into the perimeter equation.
2(1) + 2(40) = 2 + 80 = 82
82 > 26
2(2) + 2(20) = 4 + 40 = 44
44 > 26
2(4) + 2(10) = 8 + 20 = 28
28 > 26
2(5) + 2(8) = 10 + 16 = 26
26 = 26
Therefore, the factors 5 and 8 are what we use. 5 inches by 8 inches are the dimensions.
Larry bought a trampoline measuring 10 feet by 12 feet. what is the length of the diagonal of the trampoline?
Answers
Applying the Pythagorean theorem
c²=a²+b²
c is the diagonal
a=10 ft
b=12 ft
c²=10²+12²------> c²=244--------> c=√244--------> c=15.62 ft
the answer is
the length of the diagonal of the trampoline is 15.62 ft
Which statement is true about the circumference of a circle?
The circumference is the measurement around the circle.
The circumference is the measurement of the radius.
The circumference is the measurement of the diameter.
The circumference is double the radius.
Answers
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
circumference of a circle:-The circumference is the measurement around the circle.
Find the value of z /2 that corresponds to a confidence level of 89.48%.
Answers
Answer: [tex]1.6202[/tex]
Step-by-step explanation:
The given confidence level : c= 89.48%.
⇒ c= 0.8948 [ in decimal]
Then, the significance level = [tex]\alpha= 1-c[/tex]
[tex]=\alpha= 1-0.8948=0.1052[/tex]
Now, to find the value of [tex]z_{\alpha/2}[/tex] , we need to find the two -tailed z-value using z-table for [tex]\alpha=0.1052[/tex] or we can also find the one-tailed z-value for for [tex]\alpha/2=0.1052/2=0.0526[/tex]
Using z-value table , the value is [tex]1.6202[/tex]
Hence , [tex]z_{\alpha/2}=1.6202[/tex] that corresponds to a confidence level of 89.48%.
Using confidence interval concepts, it is found that the critical value is [tex]z_{\frac{\alpha}{2}} = 1.62[/tex]
For a confidence level of [tex]\alpha[/tex], the critical value of z is z with a p-value of:
[tex]\frac{1 + \alpha}{2}[/tex]
The p-value is found looking at the z-table.In this problem, confidence level of 89.48%, thus [tex]\alpha = 0.8948[/tex] the p-value of the z-score is:
[tex]\frac{1 + 0.8948}{2} = 0.9474[/tex]
Looking at the z-table, this value is [tex]z_{\frac{\alpha}{2}} = 1.62[/tex].
A similar problem is given at https://brainly.com/question/15354742
You roll two 6-sided dice. what is the probability that both dice have even numbers?
Answers
2 4 6 and 2 4 6. Duplicates are allowed.
There are 36 combinations
The number of successes is 3 * 3 = 9
The probability is 9/36 = 1/4.
Suppose your friend’s parents invest $20,000 in an account paying 5% interest compounded annually. What will the balance be after 10yr?
Answers
A = P (1+ r/n)^nt
P= 20000
R = .05
n = 1
t = 10
To find the balance after 10 years when $20,000 is invested at 5% interest compounded annually, we can use the formula for compound interest:
A = P(1+r)ⁿ
Where:
*A is the complete volume of money obtained after
*n years, including interest.
*P embodies the initial investment, or the principle amount.
*The yearly interest rate, calculated by decimal, is r.
*n is the number of periods the money has been put into investments for.
Given:
*P = $20,000
*r = 5% = 0.05
*n = 10 years
Taking appropriate values to carry out the calculation:
A = 20000(1 + 0.05)¹⁰
A = 20000(1.05)¹⁰
Now, let's calculate:
A ≈ 20000 × (1.05)¹⁰
A ≈ 20000 × 1.62889462677744
A ≈ 32577.89
So, the balance after 10 years will be approximately $32,577.89.
After 10 years, the balance of the investment can be calculated using the formula for compound interest: A = P(1+r)ⁿ
Where:
*A is the amount of money accumulated after
*n years, including interest.
*P is the principal amount (the initial investment).
*r is the annual interest rate (in decimal).
*n is the number of times the interest is compounded per year.
In this case, the principal (P) is $20,000, the annual interest rate (r) is 5%, and the investment is compounded annually. Substituting these values into the formula:
A = 20000(1.05)¹⁰
A ≈ 20000 × (1.05)¹⁰
After computation, the balance after 10 years is approximately $32,577.89. This represents the accumulated amount including the initial investment and the interest earned over the 10-year period.
Complete Question:
Suppose your friend’s parents invest $20,000 in an account paying 5% interest compounded annually. What will the balance be after 10yr?
How do you work with bidmas?
Answers
BIDMAS
1) Brackets
2) Indices
3) Division and Multiplication. Start on the left and work them out in the order that you find them
4) Addition and Subtraction. When only addition and subtraction are left in the sum work them out in the order you find them. starting from the left of the sum and working towards the right.
The school yearbook committee surveyed the student body for an article about colleges in which they are pursuing enrollment. the table below shows the number of students in each grade level; who are pursuing one or more colleges. If there are 170 students in 12th grade, what percentage of the twelfth grade students have more than one college in mind? round your answer to the nearest percent
12th grade----- 1 college= 75 2 colleges= 27 3 colleges or more= 23
Answers
[tex] \frac{27+23}{170} \times100\%= \frac{50}{170} \times100\% \\ \\ =29.4\%[/tex]
In afamily with 3 children, what is the probability that they have 2 boys and 1 girl
Answers
everytime u look the word *and* just multiply the probability but if u see the word *or* then add the probability.
If 8a−4b=20 and 4a−8b=4, then what is the value of a−b?
Answers
2a-b=5
a-2b=1
a=1+2b
plug that into the first equation.
2+4b-b=5
b=1
a=3
3-1=2 your answer therefore is 2.
What is the GCF of the terms in 4a^4+6a^2?
Answers
In this case it would be the biggest number that goes into 4 and 6 which is 2.
The first half of you answer is 2
The second half means the most amount of a’s that can go into the biggest number of a’s (doesn’t multiply)
Example:
a^4 means there are 4 a’s multiplying
a^2 means there are 2 a’s multiplying
a*a*a*a
a*a
Going back to the most amount a’s going into the biggest number of a’s means that in this equation the most amount of a’s that go into the biggest number of a’s is a^2.
Your answer is 2a^2
The GCF (Greatest Common Factor) of the terms in the algebraic expression 4a^4+6a^2 is found by observing the numerical coefficients (4 and 6) and the variables (a^4 and a^2). The GCF of 4 and 6 is 2, and the GCF of a^4 and a^2 is a^2, so the GCF of the terms in the expression is 2a^2.
Explanation:The GCF (Greatest Common Factor) of two or more terms is the greatest number that divides each of the terms without any remainder. The GCF of the terms in the algebraic expression 4a^4+6a^2 can be found by observing the numerical coefficients and the variables.
1. The numerical coefficients of the terms are 4 and 6. The GCF of 4 and 6 is 2.
2. The variables in the terms are a^4 and a^2. The GCF of a^4 and a^2 is a^2, because a^2 is the factor that appears in both terms to the smallest power.
By combining the GCF of the numerical coefficients with the GCF of the variables, we find that the GCF of the terms in the algebraic expression 4a^4+6a^2 is 2a^2.
Learn more about GCF of the terms here:https://brainly.com/question/36028487
#SPJ2
The was designed to make it easier for people to own a home.
A. community reinvestment act of 1977
B. federal home loan mortgage corporation
C. comprehensive mortgage reform act
D. federal national mortgage association
Answers
help plzzzzzzzzz????? asapp
Answers
(Explanations down below!)
Linear pair angles must add up to 180 degrees. You can tell that the two angles add up to 180 degrees because they form a straight line (which is 180 degrees).
Complementary angles add up to 90 degrees. The two angles are not complementary because they do not form a 90 degree angle (right triangle, square in corner, like a L shape).
Vertical angles are opposite each other and are equal to one another. These angles are adjacent to each other and do not look similar.
A car leaves a town at 70 kilometers per hour. how long will it take a second car, travelling at 125 kilometers per hour, to catch the first car if it leaves 1 hour later?
Answers
The number of students enrolled at a community college increase by 12% from last year to this. The enrollment last year to this year was 15,500 how many students are enrolled this year
Answers
Number of students this year = 15,500 + 1860 = 17,360
Answer: 17,360
The number of students enrolled this year are 17,360.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, the number of students enrolled at a community college increase by 12% from last year to this.
The enrollment last year to this year was 15,500.
Increased number of students are
12% of 15500
= 12/100 ×15500
= 12×155
= 1860
Number of students enrolled this year are 15,500+1860
= 17360
Therefore, the number of students enrolled this year are 17,360.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
maria's school is selling tickets to a choral performance. on the first day of ticket sales the school sold 4 adult tickets and 1 child ticket for a total of $47. the school took in $58 on the second day by selling 5 adult tickets and 1 child ticket. what is the price each of one adult ticket and one child ticket?
Answers
We have then:
x = price of adult tickets
y = price of child tickets
We write the system of equations:
4x + y = 47
5x + y = 58
Solving the system of equations we have:
x = 11
y = 3
Answer:
11 $ price of adult tickets
3 $ price of child tickets
A ball is kicked into the air and follows the path described by h(t)= -4.9t^2+6t+0.6. where t is the time in seconds and h is the height in meters above the ground. Find the maximum height of the ball. What value would you have to change in the equation if the maximum height of the ball is more than 2.4 meters?
FIND THE VETEX!!!!
Answers
h (t) = -4.9t ^ 2 + 6t + 0.6
Deriving we have:
h '(t) = -9.8t + 6
We equal zero and clear t:
-9.8t + 6 = 0
9.8t = 6
t = 6 / 9.8
t = 0.61
We substitute the value of time in the equation of the height:
h (0.61) = -4.9 * (0.61) ^ 2 + 6 * (0.61) +0.6
h (0.61) = 2.44m
For the height to be higher than 2.44m, two values can be changed:
Initial speed: 6
Initial height: 0.6
Answer:
The maximum height of the ball is:
h (0.61) = 2.44m
You would have to change in the equation if the maximum height of the ball is more than 2.4 meters:
Initial speed: 6
or
Initial height: 0.6
Which phrase describes the algebraic expression x/15?
the quotient of a number and 15
the product of a number and 15
the sum of a number and 15
15 divided by a number
Answers
g(x)=4x^2-3x+7
find g(3)
Answers
So here You go,
4(3²) -3(3)+7 i.e. __________34
HOPE THIS HELPS
find g(3)
Answer:
Plug it in:
g(3) = 4(3)^2 - 3(3) + 7
g = 4(9) - 9 + 7
simplify:
g = 36 - 9 + 7
g = 34 <<<< the answer to this.
Hope this helped!
~Shane
Help me please i need help
Answers
Note that equation means " that two mathematical expressions are equal each other"
2. Solution: A value or values that make a mathematical sentence true.
Another word for Solution can be "answer", or the 'final product' of an expression (now turned into equation)
hope this helps
Which of the following represents the zeros of f(x) = 6x3 − 35x2 + 26x − 5?
-5,1/3,1/2
5,-1/3,1/2
5,1/3,-1/2
5,1/2,1/3
Answers
we have
[tex]f(x)=6x^{3}-35 x^{2} +26x-5[/tex]
we know that
The zeros of the function are the values of x when the value of the function is equal to zero. The zeros of the function are the x-intercepts of the function
Using a graphing tool
see the attached figure
the answer is the option
[tex](5,\frac{1}{2}, \frac{1}{3})[/tex]
This circle and x + 2y = 12 create a system of equations. Find all solutions, if any, of the resulting system. There are no solutions (0, 6) and (12, 0) (0, 5) and (12, 0) (0, 5) and (5, 0)
Answers
Answer:
C. (0.5)&(12.0)
Step-by-step explanation:
Kyle was playing a new video game.He scored 128 points on his first game.He scored 305 points on his second game,and 490 on his third game.how many points did Kyle score?
Answers
Second game= 305
Third game= 490
Add the points per game together.
= 128 + 305 + 490
= 923 points
ANSWER: He scored 923 points during the three games.
Hope this helps! :)
Kyle scored a total of 923 points after playing all the three games.
What is addition ?Addition is defined as combining two or more number together.
Given is Kyle who is playing a new video game. He scored 128 points on his first game, 305 points on his second and 490 points on his third game
The total points scored by Kyle will be the sum of the individual points in each game. Therefore, adding each set of points, we get -
P[T] = 128 + 305 + 490 = 923 points.
Therefore, Kyle scored a total of 923 points after playing all the three games.
To solve more questions on Arithmetic operations, visit the link below-
brainly.com/question/898207
#SPJ5
Help me please and I will return the favor !
Answers
The explanation is self explanatory
The ratio of the height of a wall to the length of the wall is 2:3. the area of the wall is 384 sq. ft. what are the height and length of the wall?
Answers
The dimensions of the wall are found by defining variables based on the given ratio and area, resulting in a height of 16 ft and a length of 24 ft.
The question involves finding the dimensions of a wall given the ratio of its height to length and its total area. To solve this, let's denote the height of the wall as 2x and the length of the wall as 3x, based on the ratio 2:3. The area of the wall is the product of its height and length, which means (2x) ×(3x) = 384 sq. ft.
Now, by simplifying the equation, we get [tex]6x^2[/tex] = 384. Dividing both sides by 6 gives us [tex]x^2[/tex] = 64. Taking the square root of both sides, we find x = 8. Therefore, the height of the wall is 2x = 16 ft and the length of the wall is 3x = 24 ft.
In a large population, 61 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that at least one of them has been vaccinated?
Answers
Final Answer:
The probability that at least one of the four randomly selected people has been vaccinated is approximately 0.9606.
Explanation:
To find the probability that at least one of the four randomly selected people has been vaccinated, we can use the complement rule. The complement of "at least one person vaccinated" is "none of the people vaccinated." Then, we subtract the probability of none of them being vaccinated from 1.
Given that 61% of the population has been vaccinated, the probability that a randomly selected person has been vaccinated is [tex](P(\text{vaccinated}) = 0.61\)[/tex].
So, the probability that a randomly selected person has not been vaccinated is [tex]\(P(\text{not vaccinated}) = 1 - P(\text{vaccinated}) = 1 - 0.61 = 0.39\).[/tex]
Now, we can find the probability that none of the four randomly selected people has been vaccinated:
[tex]\[P(\text{none vaccinated}) = (0.39)^4\][/tex]
And the probability that at least one of them has been vaccinated is the complement of this:
[tex]\[P(\text{at least one vaccinated}) = 1 - P(\text{none vaccinated}) = 1 - (0.39)^4\][/tex]
Let's calculate it:
[tex]\[P(\text{at least one vaccinated}) = 1 - (0.39)^4\][/tex]
[tex]\[P(\text{at least one vaccinated}) \approx 1 - 0.0394179 \][/tex]
[tex]\[P(\text{at least one vaccinated}) \approx 0.9605821\][/tex]
So, the probability that at least one of the four randomly selected people has been vaccinated is approximately 0.9606.
The probability that at least one of the 4 randomly selected people has been vaccinated is calculated using the complement rule and is found to be 0.9769.
To determine the probability that at least one of the 4 randomly selected people has been vaccinated, we can use the complement rule. The probability of an individual not being vaccinated is 1 - 0.61 = 0.39.
We need to calculate the probability that none of the 4 selected people are vaccinated and subtract this from 1:
Probability that a single person is not vaccinated: 0.39Probability that all 4 people are not vaccinated: 0.39⁴0.39⁴ = 0.0231Thus, the probability that at least one of them is vaccinated is:
1 - 0.0231 = 0.9769
Therefore, the probability that at least one of the 4 randomly selected people has been vaccinated is 0.9769.
I can't figure out how to solve this
Answers
Because angle ATN is 70 degrees, then angle ANT is also 70 degrees
The 3 inside angles of a triangle = 180 degrees,
so angle A would = 180 - 70 - 70
Angle A = 180 -70-70 = 40 degrees
Angles 4 and 5 form what type of angles?
Answers
Angles 4 and 5 form opposite angles, which means they are the same in size. This type of angle is also called vertical angle, and arise when two lines intersect.
Angles 4 and 5 form a pair of vertical angles. Vertical angles are two angles that are opposite each other when two lines intersect. They have the same measure and are congruent.
Vertical angles are a pair of angles formed when two lines intersect. In this case, angles 4 and 5 are considered vertical angles because they are opposite each other at the point where the lines intersect. These angles have a special property: they are congruent, which means they have the same measure. This is a fundamental principle in geometry.
Imagine drawing two straight lines that intersect, creating four angles. Angles 4 and 5 are positioned opposite each other, and they share the same measurement. This relationship is true regardless of the lengths of the lines or the specific angles involved. It's a geometric rule that holds true in all cases where vertical angles are formed.
Understanding vertical angles is important in various mathematical and geometric applications, as it allows us to make deductions about the relationships between angles and lines in different configurations.
To learn more about Vertical angles
https://brainly.com/question/1673457
#SPJ3
Linda has completed 24 deliveries so far this week. she needs to make 40 deliveries for the week. what percentage of her deliveries has linda completed?
Answers
Final answer:
Linda has completed 60% of her deliveries for the week.
Explanation:
Linda has completed 24 deliveries out of a total of 40 deliveries for the week. To find the percentage of deliveries Linda has completed, we can divide the number of completed deliveries by the total number of deliveries and multiply by 100.
Percent of deliveries completed = (Number of completed deliveries / Total number of deliveries) * 100
Percent of deliveries completed = (24/40) * 100 = 60%