Find the value of (4/25)^-1/2
Answers
The value of the given exponent is \(\frac{5}{2}\)
Given:
The exponent = \((\frac{4}{25})^{\frac{-1}{2}}\)
To find:
The value of a given exponent
Solution:
\((\frac{4}{25})^{\frac{-1}{2}} = ?\)
Using the identity of an exponent : \((\frac{m}{n})^{x} = \frac{m^{x}}{n^{x}}\)
\((\frac{4}{25})^{\frac{-1}{2}} = \frac{(4)^{(\frac{-1}{2})}}{(25)^{(\frac{-1}{2})}}\\\)
Using the identity of an exponent : \(a^{-x} = \frac{1}{a^x}\)
\(=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{((5)^2)^{(\frac{1}{2})}}{((2)^2)^{(\frac{1}{2})}}\\\)
Using the identity of an exponent: \((a^{n})^m=a^{m\times n}\)
\(=\frac{5^{(2\times \frac{1}{2})}}{2^{(2\times \frac{1}{2})}}\\=\frac{5^1}{2^1}\\=\frac{5}{2}\)
The value of the given exponent is \(\frac{5}{2}\).
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Related Questions
The population of wild rabbits, in thousands, in Wisconsin can be modelled by the following equation f(x)=9(1.01)x where x represents the number of years after the scientists started counting. How many wild rabbits, in thousands, will be in Wisconsin in 15 years?
Answers
Answer:search that up and find the answer on brainly
Step-by-step explanation:
Jamie is an analyst at an education technology company. she gathered data on the results of a certain type of question. of the 2,000 re
she looked at, 1,092 responded correctly.
what equation could jamie use to calculate the margin of error at a 90% confidence interval?
0.454
2.58
1,092
1.96
2,000
0.546
1.65
(1-1
me=
reset
next
next
Answers
The 90% confidence interval's margin of error is 0.0183, and its success probability is 0.546.
What is margin of error?
The term "margin of error" refers to the probability or "chances of error" when selecting or computing a sample in a survey.
Jamie works as an analyst for a provider of educational technologies. She gathered information on the outcomes of a particular kind of query. 1,092 of the 2,000 replies she examined were accurate.
Here,
Number of samples, N=2000
Probability of responding correctly,
=1092/2000
=0.546
Z-score at 90% confidence level,
=1.645
Margin of Error ME,
=z*√(p*(1-p)/N)
=1.645*√(0.546*(1-0.546)/2000)
=1.645*√(0.546*0.454)/2000
=1.645*√(0.248/2000)
=1.645*√0.000124
=1.645*0.011
=0.0180
With a success rate of 0.546 percent, the margin of error for the 90% confidence interval is 0.0183.
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I) -7s (S-4t-3u)
ii) -4c (2c-5d)
Answers
II) -8c^2+20cd
Answer:
I) -7\(s^2\) + 28\(st\) +21\(su\)
II) -8\(c^2\) + 20\(cd\)
Step-by-step explanation:
pleassee HELPP me with 7,8 thank youuu
Answers
Answer:
y=8,y=0
that's the answer I got tho
Dynamically complete models Consider the following model where the expected value of y, conditional on all current and past values of z and y, is equal to Ely,IZ): y= Bo + Bızı + Bazi-1 + $3Zt-2 + $4Z1-3 + up Which of the following variables must be contained in Z for the model to be dynamically complete? Check all that apply. 0 Y:-1 Zt-2 O Zt-1 21-3 O Zt O yt-2
Answers
The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.
The following variables must be included in Z for the model to be dynamically complete: Zt-2, Zt-1, Zt, yt-2. Thus, the correct answer is (a), (b), (c), and (g).Explanation:According to the given information and model, for the model to be dynamically complete, it needs to include some variables in Z. To be precise, for a model to be considered as dynamically complete, all the past values should be included in Z. The given model is:y
= Bo + Bızı + Bazi-1 + $3Zt-2 + $4Z1-3 + up .Expected value of y, conditional on all current and past values of z and y, is equal to Ely,IZ.The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.
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Use Cramer's rule to solve the system below, and state the condition at which solution exists. Note: a, b, c, d are parameters. 2. (6 points) Compute limits. x² - 2x 8 (a) lim 2-2 3. 2 1 + 2/ ax+by = 1 cx+dy=-1 (b) lim (e is Euler's number). 3. (6 points) Find whether functions below are continuous on their respective domains. (a) f(x) = 23 on R. (b) f(x) = |x-1| on R. (c) f(x) = on (0, [infinity]). ex-1 +3
Answers
(a) The solution to the system using Cramer's rule is x = (d - b)/(ad - bc) and y = (a - c)/(ad - bc), provided that the denominator ad - bc is not zero.
(b) The limit of the given expression as x approaches infinity is e^(2/3).
(c) The functions are continuous on their respective domains: f(x) = 23 is a constant function and is continuous everywhere, f(x) = |x-1| is continuous on all real numbers, and f(x) = e^(x-1) + 3 is continuous on the interval (0, infinity).
(a) To solve the system of equations using Cramer's rule, we calculate the determinants of the coefficient matrix and the matrices obtained by replacing the respective columns with the constant terms. The solution for x is given by (d - b)/(ad - bc) and for y is (a - c)/(ad - bc). It is important to note that a solution exists only when the denominator ad - bc is not zero. If the denominator is zero, the system either has no solution or infinite solutions.
(b) In the given limit expression, as x approaches infinity, the numerator approaches 2 - 2e, and the denominator approaches 1. Therefore, the limit simplifies to (2 - 2e)/1 = 2 - 2e. Hence, the limit is e^(2/3).
(c) The function f(x) = 23 is a constant function, meaning it has the same value (23) for all real numbers. Since a constant function has no jumps or breaks, it is continuous everywhere.
The function f(x) = |x-1| is the absolute value function, which is continuous on all real numbers. It may have a sharp point at x = 1, but the left and right limits are equal, ensuring continuity.
The function f(x) = e^(x-1) + 3 is an exponential function with a base of e. Exponential functions are continuous on their entire domain, in this case, the interval (0, infinity).
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I need help this is for the people who know how to do graphs…
Answers
Answer:
Put the points (-2,2); (-1,0); (0,-2) ; (1,-4)
Step-by-step explanation:
Just plug in the x values to the equation in order to get your y value.
Hope this helps. Have a great day!! :)
when comparing two sample means, we can safely reject the null hypothesis if ______.
Answers
When comparing two sample means, we can safely reject the null hypothesis if the calculated test statistic exceeds the critical value corresponding to the chosen significance level.
In hypothesis testing, when comparing two sample means, we typically perform a t-test or z-test depending on the characteristics of the data and assumptions. The null hypothesis assumes that there is no significant difference between the means of the two samples.
To determine whether we can reject the null hypothesis and conclude that there is a significant difference, we calculate a test statistic. The specific test statistic (t or z) depends on factors such as sample size and whether population parameters are known.
Next, we compare the calculated test statistic to the critical value. The critical value is determined based on the chosen significance level (commonly denoted as α). If the calculated test statistic exceeds the critical value, we reject the null hypothesis, indicating that there is evidence to support a significant difference between the two sample means.
The significance level determines the threshold for rejecting the null hypothesis and is typically set at 0.05 (5%) or lower, depending on the desired level of confidence.
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Find the quotient of the quantity 21 times ten raised to the negative twenty first power end quantity divided by the quantity 7 times ten raised to the negative twenty first power end quantity.. write the final answer in scientific notation. 3 x 10−42 3 x 100 3 x 1021 3 x 1042
Answers
Answer:3x10^0 or 3x10 to the power of 0
Step-by-step explanation:
I did the same exact one with my teacher i hope this helps you
Given that loga = 4 and logb = 6, then evaluate log(a²√b)
Select one:
O a. 19
O b. none of these
O c. 11
O d. 24
Answers
The value of the logarithmic expression \(log(a^2\sqrt{b})\) is 11. The correct option is (c) 11.
To evaluate \(log(a^2\sqrt{b})\), we can use logarithmic properties to simplify the expression.
First, let's rewrite the expression using logarithmic rules:
\(log(a^2\sqrt{b}) = log(a^2) + log(\sqrt{b})\)
Using the power rule of logarithms, we can simplify \(log(a^2)\) as:
\(log(a^2)\) = 2 * log(a)
Given that log(a) = 4, we can substitute it into the equation:
\(log(a^2)\) = 2 * log(a) = 2 * 4 = 8
Next, let's simplify \(log(\sqrt{b})\) using the property:
\(log(\sqrt{b})\) = 1/2 * log(b)
Given that log(b) = 6, we can substitute it into the equation:
\(log(\sqrt{b})\) = 1/2 * log(b) = 1/2 * 6 = 3
Now, let's substitute these simplified expressions back into the original equation:
\(log(a^2\sqrt{b}) = log(a^2) + log(\sqrt{b})\) = 8 + 3 = 11
Therefore, the value \(log(a^2\sqrt{b})\) is 11. The correct option is (c) 11.
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Determine if the following statements are true or false, and explain your
reasoning. If false, state how it could be corrected.
(a) If a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will also be within a 99% confidence interval.
(b) Decreasing the significance level (\alpha) will increase the probability of making a Type 1 error.
(c) Suppose the null hypothesis is\mu= 5 and we fail to reject H0. Under this scenario, the true population mean is 5.
(d) If the alternative hypothesis is true, then the probability of making a Type 2 error and the power of a test add up to 1.
(e) With large sample sizes, even small differences between the null value and the true value of the parameter, a diff
erence often called the effect size, will be identified as statistically signiffcant.
(f) A cutoff of\alpha= 0.05 is the ideal value for all hypothesis tests.
Answers
a) False. the null hypothesized value could not fall within a 99% confidence interval . b) false ; c) false ; d) true ; e) true ; f) false.
(a) False. If a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will not always be within a 99% confidence interval.
The reason for this is that a 99% confidence interval is wider than a 95% confidence interval.
Hence, the null hypothesized value could fall within a 95% confidence interval but not within a 99% confidence interval.
(b) False. Decreasing the significance level (α) will reduce the probability of making a Type 1 error, not increase it. A Type 1 error occurs when we reject a true null hypothesis.
By decreasing the significance level, we make it more difficult to reject the null hypothesis, which reduces the probability of a Type 1 error.
(c) False. Suppose the null hypothesis is μ = 5 and we fail to reject H0. Under this scenario, we cannot conclude that the true population mean is 5.
The data may be consistent with a range of population means, including means that are different from 5.
(d) True. If the alternative hypothesis is true, then the probability of making a Type 2 error and the power of a test add up to 1. Power is defined as the probability of rejecting a false null hypothesis.
If the alternative hypothesis is true, then the null hypothesis is false, and the probability of rejecting it (i.e., the power) is equal to 1 minus the probability of failing to reject it (i.e., the Type 2 error rate).
(e) True. With large sample sizes, even small differences between the null value and the true value of the parameter, a difference often called the effect size, will be identified as statistically significant.
This is because large sample sizes increase the precision of our estimates, which makes it easier to detect even small differences.
(f) False. A cutoff of α = 0.05 is not the ideal value for all hypothesis tests. The choice of α depends on several factors, including the consequences of a Type 1 error and the sample size.
For example, if the consequences of a Type 1 error are severe, then a lower value of α may be more appropriate. Similarly, if the sample size is very large, then a lower value of α may be necessary to maintain the Type 1 error rate.
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18. the distance that a object covered in time was measured and recorded in the table below.
True/False: The distance covered is directly proportional to the time.
a. True
b. False
Answers
Answer: False
================================================
Explanation:
x = time in seconds
y = distance in meters
Pick any two rows to compute the ratio y/x
Row 1: y/x = 4.0/1 = 4Row 2: y/x = 5.5/2 = 2.75We get different results, so this is enough to show y isn't directly proportional to x.
Answer:
b. False
Step-by-step explanation:
The table above shows that time is not directly proportional to the distance covered by the object. "Directly proportional" means that two variables (time and distance) increase or decrease at the "same rate."
After 2 seconds, the distance covered by the object increased to 1.5 meters; however, after 3 seconds, it only increased to 0.5 meters. It is therefore not directly proportional. In order for it to be directly proportional, the distance covered should always be at 4 meters every second, which means that the distance covered after 2 seconds should be 8 meters and after 3 seconds, it should be 12 meters.
Solve square root of x + square root of x+2 = 2
Answers
The value of x is \( \frac{1}{4} \)
Step-by-step explanation:
Given:
\( \sqrt{x} + \sqrt{x + 2} = 2\)
Rearranging the radical on left side,
\(\sqrt{x + 2} = 2 - \sqrt{x}\)
Power on both sides,
\((\sqrt{x + 2})^{2} = (2 - \sqrt{x})^{2} \)
Simplifying the left,
\(x + 2 = (2 - \sqrt{x} )^{2}\)
For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),
\( = > x + 2 = {2}^{2} - (2 \times 2 \sqrt{x}) + ( \sqrt{x})^{2} \)
Now calculating its powers,
\( = > x + 2 = 4 - 4\sqrt{x} + x\)
Now sending -4√x to the LHS (left side), its sign becomes plus (+),
\( = > 4 \sqrt{x} = 4 + x - x - 2\)
Now the +x and -x will be cancelled,
\( = > 4 \sqrt{x} = 4 - 2\)
\( = > 4 \sqrt{x} = 2\)
Bringing 4 to the right side, it becomes the denominator,
\( = > \sqrt{x} = \frac{2}{4} \)
\( = > \sqrt{x} = \frac{1}{4} \)
Now powering both sides,
\( = > ( \sqrt{x})^{2} = ( \frac{1}{2})^{2}\)
\( = > x = \frac{1}{4} \)
so for 8.75 to a percent. do i just put a zero their
Answers
Answer:
No, it is 875%
Step-by-step explanation:
Percent means per cent, as in one cent in a dollar kind of thing, or 1/100.
You find 8.75 as a percent by multiplying it by 100 and adding the % after it.
what is the common ratio of the geometric series produced by the nth order maclaurin series for h of x equals 1 over quantity 1 minus x end quantity question mark
Answers
The common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x.
The Maclaurin series for h(x) = 1/(1-x) is an infinite geometric series with the general term given by:
h(x) = x⁰ + x¹ + x² + x³ + ...
The nth order Maclaurin series for h(x) = 1/(1-x) is the sum of the first n terms of this infinite series. The common ratio of a geometric series is the ratio of any term to the previous term.
In this case, each term is the previous term multiplied by x, so the common ratio is x.
It's important to note that the Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero, in this case, when x is zero, the function becomes 1/(1-0) = 1, the function is equal to 1 when x=0.
In conclusion, the common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x. It's the ratio of any term to the previous term, and it's the same for all the terms in the series.
The Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero.
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6th grade math help me pleaseeee
Answers
Answer: 65
Step-by-step explanation:
since the square root of 8 is 64 and 65 is closest to 64
Answer:
√65
√9= 3
√17= 4,12311
√65= 8,06226
√72 =8,48528
Describe the end behavior of the function -2x^3-13x^2+8x+52
Answers
Answer:
Step-by-step explanation:
lim x -> +oo -2x³ - 13x² + 8x + 52
x³ (-2 -13/x + 8/x² + 52/x³)
+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)
+oo(-2 + 0 + 0 + 0)
-oo
lim x -> -oo -2x³ - 13x² + 8x + 52
x³ (-2 -13/x + 8/x² + 52/x³)
-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)
-oo(-2 + 0 + 0 + 0)
+oo
find the length of the diagonal of a cube of side 5m
Answers
diagonal-
= root 3a
= root 3·5
≈ 8.66025
Let the length of diagonal be d
Given, Side = 5m
Using Pythagoras theorum,
\( \sqrt{ 3} (side) = d \\ \sqrt{3}(5) = d \\ d = 5\sqrt{3} m = 8.66 \: m\)
Hope this helps :)
Are 2/3 and 3/2 reciprocals
Answers
Answer: Yes, They Are.
Step-by-step explanation:
The population of bacteria in an experiment
increases by 90% each day. If there were 100
bacteria at the beginning, how many would
there be after 5 days?
Hel
Skip
Answers
Answer:
450 bacteria
Step-by-step explanation:
90 percent of 100 is 90 90x5 is 450
What is 5 x 0.1 + 4 x 0.01 + 8 x 0.001 written in standard form?
Answers
Answer:
0.548
Step-by-step explanation:
5 x 0.1 = 0.5
4 x 0.01 = 0.04
8 x0.0001 = 0.008
Now add them all together to get 0.548 in standard form.
I hope this helps! :)
Answer:
5 × 0.1 is 0.5
4 × 0.001 is 0.04
8 × 0.0001 is 0.008
so add all number is
0.548
Phiya finish 1/2 a page of homework every 1/5 of an hour . At this rate, how many pages per hour will phiya finish
Answers
Answer:
2.5 pages an hour
Hope this helps! Sorry if I'm wrong!
On Saturday dante cake recipe 3/4 cup of flour. But gray wants to make the cake half of the size that the recipe call for. How many flour should he use
Answers
Answer:
³/₈ cup of flour
Step-by-step explanation:
Given;
a cake recipe as 3/4 cup of flour
Determine how many cups of flour gray will use;
half of the size that the recipe = ¹/₂ x 3/4 cup of flour
= ³/₈ cup of flour
Therefore, gray will need ³/₈ cup of flour, to make it half of the size that the recipe.
each person uses the same amount of dough, and art makes exactly 12 cookies. art's cookies sell for 60 cents each. to earn the same amount from a single batch, how much should one of roger's cookies cost in cents?
Answers
If Art makes 12 cookies with the same amount of dough and sells each cookie for 60 cents, then Roger needs to sell each cookie for 70 cents in order to earn the same amount from a single batch.
To explain how this is determined, we can use a basic equation. We know that Art made 12 cookies with the same amount of dough. If Art sells each cookie for 60 cents, then the total amount of money they earn from a single batch is 12 x 60 = 720 cents. We also know that Roger is trying to earn the same amount from a single batch of cookies.
To calculate how much each of Roger's cookies should cost, we need to divide the total amount of money, 720 cents, by the number of cookies, 12. Therefore, the cost of each of Roger's cookies is 720 / 12 = 70 cents.
To summarize, if Art makes 12 cookies with the same amount of dough and sells each cookie for 60 cents, then Roger needs to sell each cookie for 70 cents in order to earn the same amount from a single batch.
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Is 6p-8 monomial, binomial, or trinomial
Answers
Answer:
Binomial
Step-by-step explanation:
how many terms are in the equation?
2 = Binomial
Answer: Binomial
Step-by-step explanation:
It contains two terms in 6p-8 (6p, and 8)
Thus it is binomial
Monomial: contains one term
binomial: contains two terms
trinomial: contains three terms
Hope this helps!! :)
Please let me know if you have any question
A) Find the constant of proportionality ( K )K =B) Find the equation Y = ____X
Answers
N 7
Part A
In a direct variation
k=y/x
take one point from the graph
(2,4)
k=4/2
k=2Part B
In a direct variation, the equation is
y=kx
we have
k=2
therefore
y=2x1a. Explain why chess is not a static game of complete information?
Answers
Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.
Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.
Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.
Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.
Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.
Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.
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Can you guys answer these questions please i have allot of work and im trying to do multiple things answer will get brainliest
Answers
Answer:
first one - 30%
second - 15%
third - 40%
fourth - 20%
fifth - 75%
sixth - 70%
seventh - 88%
eighth - 25%
sorry but the last question is too blurry, can you type it and I can help you answer it?
Hope this helps.
today each cookie costs 0.75 less than the normal price. Right now if you buy 7 of them it will only cost you 2.80.
Write an equation to determine the normal price of each cookie (c).
Answers
Answer:
7 ( x - 0.75 ) = 2.80
Step-by-step explanation:
7 ( x - 0.75 ) = 2.80
7x - 5.25 = 2.80
7x = 2.80 + 5.25
x = 8.05/7
x = 1.15
------------------------------
1.15 - 0.75 = 0.4
(0.4)*7 = 2.8
if bonds with a face value of $204,000 are issued at par, the amount of cash proceeds is ________.
Answers
If bonds with a face value of $204,000 are issued at par, the amount of cash proceeds is also $204,000.
When bonds are issued, the issuer receives cash from investors who purchase the bonds. The amount of cash received by the issuer is typically less than the face value of the bonds, because the bonds are usually issued at a discount or a premium. However, if the bonds are issued at par, it means that they are being sold for their face value.
For example, if bonds with a face value of $204,000 are issued at par, the amount of cash proceeds received by the issuer will also be $204,000. This is because the bonds are being sold for the exact amount that they will be repaid at maturity, so there is no discount or premium involved. The issuer will use the cash proceeds to fund its operations or other initiatives, and will make periodic interest payments to bondholders until the bonds mature. At maturity, the issuer will repay the face value of the bonds to the bondholders, completing the transaction.
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