Convert this decimal into its fractional form, simplified completely.
0.125
Answers
Answer:1/8
Step-by-step explanation:
If we divide both the top and the bottom by 5 since we know that 125 is a multiple of 5, we get 25/200. Divide both by 5 again to get 5/40 we then simplify to get 1/8.
Related Questions
Find the measure of x.
40°
(2x)
Enter your answer
Answers
Answer:
where is the diagram? please provide a diagram.
A painter can paint a building in 4 days and his apprentice can do it in 6 days. How long will it take them to paint this building if they work together on it except for 1 day when the painter is ill and the apprentice work alone.
Answers
It will take them 3 days to paint the building if they work together on it except for 1 day when the painter is ill and the apprentice works alone is the answer.
Given that a painter can paint a building in 4 days and his apprentice can do it in 6 days, the following steps can be taken to find out the time taken to paint the building when they work together on it except for 1 day when the painter is ill and the apprentice works alone.
Step 1: Let's find the painter's work efficiency.
The painter can paint a building in 4 days. It means, in 1 day, the painter can complete 1/4 of the work.(1/4) × (4 days) = 1 work done
Therefore, the painter can complete 1 work in 1 day.
Step 2: Let's find the apprentice's work efficiency.
The apprentice can paint a building in 6 days. It means, in 1 day, the apprentice can complete 1/6 of the work. (1/6) × (6 days) = 1 work done
Therefore, the apprentice can complete 1 work in 1 day.
Step 3: Let's find out their combined work efficiency.
In 1 day, the painter can complete 1 work and the apprentice can complete 1 work.
So, in 1 day, their combined work efficiency = 1 + 1 = 2 works done.
Step 4: Let's find out the time taken to complete the work if they work together on it except for 1 day when the painter is ill and the apprentice works alone. If they work together for x days (except for 1 day when the painter is ill and the apprentice works alone), then, the following equation can be formed: Painter's work done in x days + Apprentice's work done in x days = Total work to be done.
Painter's work done in x days = (1/4) × (x - 1) = (x - 1)/4.
Apprentice's work done in x days = (1/6) × x = x/6.
Total work to be done = 1.
So, the equation becomes:(x - 1)/4 + x/6 = 1.
⇒ 3(x - 1)/12 + 2x/12 = 1.
⇒ (3x - 3 + 2x)/12 = 1.
⇒ 5x - 3 = 12.
⇒ 5x = 15.
⇒ x = 3.
Therefore, it will take them 3 days to paint the building if they work together on it except for 1 day when the painter is ill and the apprentice works alone.
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university planner wants to determine the proportion of spring semester students who will attend summer school. with a 0.95 probability, how large of a sample would have to be taken to provide a margin of error of 3% or less? (a previous sample of similar units yielded .44 for the sample proportion.)
Answers
A sample size of at least 615 would be required to provide a margin of error of 3% or less with a 95% probability, based on the given information.
To determine the sample size required to provide a margin of error of 3% or less with a 95% probability, we need to use the formula for sample size calculation for proportions:
n = (Z² × p × (1 - p)) / E²
where:
n is the required sample size
Z is the Z-score corresponding to the desired confidence level (0.95 corresponds to a Z-score of approximately 1.96)
p is the estimated proportion (0.44 based on the previous sample)
E is the desired margin of error (0.03 or 3% expressed as a proportion)
Substituting the values into the formula:
n = (1.96² × 0.44 × (1 - 0.44)) / 0.03²
n ≈ 614.73
Since the sample size must be a whole number, we round up to the nearest whole number.
Therefore, a sample size of at least 615 would be required to provide a margin of error of 3% or less with a 95% probability, based on the given information.
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mr. earl e. bird leaves his house for work at exactly 8:00 a.m. every morning. when he averages 40 miles per hour, he arrives at his workplace three minutes late. when he averages 60 miles per hour, he arrives three minutes early. at what average speed, in miles per hour, should mr. bird drive to arrive at his workplace precisely on time?
Answers
if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time
mr. earl e. bird leaves his house for work at exactly 8:00 a.m. every morning
when he averages 40 miles per hour, he arrives at his workplace thirty minutes late.
when he averages 60 miles per hour, he arrives thirty minutes early.
at what average speed, in miles per hour, should mr. bird drive to arrive at his workplace precisely on time?
if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time
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For each prompt below, carefully and thoroughly follow the directions. For the graphs, be certain to accurately label all axes, curves, and points as appropriate. Use arrows to indicate the direction of any shifts. Show your work for any calculations.
Country X is currently maximizing its resources and employment to produce consumer goods and capital goods. The government has a balanced budget.
(a) Illustrate the economy of Country X on a fully labeled production possibilities curve, assuming increasing opportunity cost. Label a point where the economy is currently operating as point X.
(b) The government of Country X reduces the tax rates for interest earned on household savings. Would the national savings decrease, increase, or stay the same? Explain.
(c) On a fully labeled loanable funds market graph, illustrate the impact of the policy from part (b) on the equilibrium real interest rate and the equilibrium quantity of funds.
(d) Assume that Country X is still maximizing resource use. On your PPC graph from part (a), illustrate the short-run impact of the change in real interest rates. Illustrate a new production point as point R.
(e) In the long run, will the long-run aggregate supply of Country X decrease, increase, or stay the same? Explain.
Country Y
(f) Country Y has a real GDP per capita of $75, and it has a population of 2 million. Calculate Country Y's real GDP.
(g) Four years later, the GDP per capita of Country Y is $90. Assume there has been no technological advancement and no increase in physical capital in that time period. Identify a policy that could lead to this increase.
(h) Calculate the economic growth rate for Country Y over the time period described in part (f). Show your work.
Answers
(a) Country X's economy can be illustrated on a production possibilities curve (PPC) with increasing opportunity cost. The current operating point is labeled as point X.
(b) If the government of Country X reduces tax rates on interest earned from household savings, the national savings would increase. This is because lower tax rates provide an incentive for individuals to save more of their income.
(c) On a loanable funds market graph, the policy change mentioned in part (b) would shift the demand curve for funds to the right, leading to an increase in the equilibrium real interest rate and equilibrium quantity of funds.
(d) Assuming Country X is still maximizing resource use, the change in real interest rates would affect the PPC graph from part (a). A higher real interest rate would lead to a decrease in investment, shifting the PPC inward, resulting in a new production point labeled as point R.
(e) In the long run, the long-run aggregate supply of Country X would stay the same. Changes in real interest rates in the short run do not impact the potential output of an economy.
(a) Country X's economy is represented on a production possibilities curve (PPC), which shows the maximum combinations of consumer goods and capital goods that can be produced with the given resources and technology. Assuming increasing opportunity cost, the PPC would be concave, reflecting the trade-off between producing different types of goods. Point X on the curve represents the current operating point of the economy, where resources and employment are maximized.
(b) Reducing tax rates on interest earned from household savings would incentivize individuals to save more. This increase in savings would contribute to national savings. When individuals save more, it means they are consuming less of their income, allowing resources to be allocated towards investment. As a result, the national savings would increase.
(c) The policy change mentioned in part (b) would impact the loanable funds market. Lower tax rates on interest earned would increase the supply of loanable funds. This would shift the supply curve to the right, leading to a decrease in the equilibrium real interest rate and an increase in the equilibrium quantity of funds. The lower real interest rate would incentivize borrowing and investment, stimulating economic growth.
(d) Assuming Country X is still maximizing resource use, a change in real interest rates would impact the PPC graph from part (a). An increase in real interest rates would raise the cost of borrowing for firms, reducing their investment. This decrease in investment would result in a decrease in the production capacity of the economy, shifting the PPC inward. The new production point, labeled as point R, would reflect the short-run impact of the change in real interest rates.
(e) In the long run, changes in real interest rates do not affect the potential output or long-run aggregate supply of an economy. The long-run aggregate supply is determined by the economy's available resources, technology, and efficiency. While changes in real interest rates may impact investment and production in the short run, they do not alter the economy's productive capacity in the long run. Therefore, the long-run aggregate supply of Country X would stay the same.
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evaluate the given function. f(x) = 3x2+2; find f)x+1)-[f(x)+1]
Answers
To evaluate
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Which expression is another way to write √125x?
Answers
\(\sqrt{125x}\)
Here 125 can be written as \((5)(5)(5)\)
\(=\sqrt{(5)(5)(5)x}\)
here \((5) (5)\) can be written as\(5^{2}\)
=\(\sqrt{5^{2}(5)x }\)
so it can be written as
\(=5\sqrt{5x}\)
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Which is the graph of f(x) = 2(3)x ?
Answers
Answer:
A
Step-by-step explanation:
the rest are inccorect
i need help graphing this
Answers
Answer:
i put below. if you have a smart website (i dont know how to say it) then all you need is two points
Step-by-step explanation:
all you have to do is find two points
pick any points
lets say x = 0 and x = 2
y = -2(0) + 7
y = 7
(0,7)
y = -2(2) + 7
y = -4 + 7
y = 3
(2, 3)
then graph
If two people earn a total of $23, how many people will earn a total of $92
Answers
Answer:
8
Step-by-step explanation:
\( \frac{23}{2} = 11.5\)
\(92 \div 11.5 = 8\)
Find the value of x and measure of the angle labeled 16x.
Answers
Answer:
D) x=3, angle measure is 48 degrees.
Step-by-step explanation:
180-64-48=68
180-68-64=48
16x=48
x=48/16
x=3
The coordinates of the vertices of a triangle are A(-6,-3), B(-5,2), C(-2,-2). If the coordinates are changed to A' (6,-3), B(5,2). C'(2,-2), what transformation was
Performed?
Answers
Answer:
a
Step-by-step explanation:
jefioweodke = f0eoddjeoe -2fkoforkg f = A
Two numbers are co-prime if they have no common factors (other than
1). By drawing Venn diagrams or otherwise, decide whether each pair of
numbers is co- prime.
a) 105 and 429 b) 63 and 715 C) 121 and 175 d) 455 and 693
Answers
Answer:
See below.
Step-by-step explanation:
a)
105/3 = 35
35/5 = 7
7/7 = 1
429/3 = 143
143/11 = 13
13/13 = 1
105 = 3 * 5 * 7
429 = 3 * 11 * 13
Not co-prime
For the other parts of the problem, do the same I did above. Find the prime factorizations of both numbers, and see if they have any prime factors in common.
n a given year, there are 10 million unemployed workers and 120 million employed workers in an economy.
Answers
In a given year, an economy has 10 million unemployed workers and 120 million employed workers. This information provides a snapshot of the labor market and indicates the number of individuals who are currently without jobs and those who are employed.
The information states that in the given year, there are 10 million unemployed workers and 120 million employed workers in the economy. This data provides a measure of the labor market situation at a specific point in time.
Unemployed workers refer to individuals who are actively seeking employment but currently do not have a job. The number of unemployed workers can be an important indicator of the health of an economy and its ability to provide job opportunities.
Employed workers, on the other hand, represent individuals who have jobs and are currently working. The number of employed workers indicates the size of the workforce that is actively contributing to the economy through productive activities.
By knowing the number of unemployed and employed workers, policymakers, economists, and analysts can assess factors such as labor market conditions, unemployment rates, and workforce participation rates. This information is crucial for formulating policies, understanding economic dynamics, and monitoring the overall health and functioning of the economy.
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Select all ratios that are in their simplest form.
A 25:24
B 19:24
C 23:24
D 11:16
E 27:18
Answers
Answer:
The ratios in their simplest form are:
A 25:24
B 19:24
C 23:24
D 11:16
Step-by-step explanation:
The ratios are in their simplest form are the ratios that cannot be simplified further.
We will check all the ratios one by one
A 25:24
Cannot be further simplified so it is in the simplest form
B 19:24
Cannot be simplified further.
C 23:24
Cannot be simplified further
D 11:16
Cannot be simplified further
E 27:18
\(27:18\\3:2\)
Further simplified, so it was not in simplest form.
Hence,
The ratios in their simplest form are:
A 25:24
B 19:24
C 23:24
D 11:16
PLZZ HELP Fill in the blank with the correct response. The slope of the graph of y = x is ___a0.
Answers
Answer:
1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x ← is in slope- intercept form
with slope m = 1
Answer:
1
Step-by-step explanation:
Pls answer fast thx
Answers
Hey y'all, do you think you can answer this question? (oh, and P.S. sorry about the already filled in parts. Ignore them)
Answers
The surface area is increased by the square of the factor used to increase both radius and height of the cylinder.
Factor of 2: Area factor of 4, Factor of 3: Area factor of 9, Factor of 5: Area factor of 25, Factor of 10: Area factor of 100, Factor of 20: Area factor of 400
How to analyze the change in surface area of a cylinder by changing radius and height by same factorIn this problem we must analyze the change in the surface area of the cylinder, when radius and height are changed by same factor. The situation is described by following formula:
A = 2π · (k · r)² + 2π · (k · r) · (k · h)
A = k² · (2π · r² + 2π · r · h)
A = k² · A'
Where:
k - Enlargement factorr - Radiush - HeightA' - Initial areaThus, the resulting area factor is:
Factor of 2: Area factor of 4
Factor of 3: Area factor of 9
Factor of 5: Area factor of 25
Factor of 10: Area factor of 100
When both radius and height of the cylinder are multiplied by same factor, then the surface area is increased by the square of the former factor.
Factor of 20: Area factor of 400
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How many solutions does the following equation have?[6x + 12]= -18. 1) No solution 2) One solution 3) Two solutions 4) Infinitely many solutions
Answers
hello
to find the number of solution, we need to solve for x
\(\begin{gathered} 6x+12=-18 \\ 6x=-18-12 \\ 6x=-30 \\ \text{divide both sides by 6} \\ \frac{6x}{6}=-\frac{30}{6} \\ x=-5 \end{gathered}\)the equation has only one solution
for the standard normal curve, find the z-score that corresponds to the 7th decile.
Answers
Using the Z-table, you can find the z-score that corresponds to a cumulative probability of 0.70, which is approximately 0.52. So, the z-score for the 7th decile on the standard normal curve is 0.52.
To find the z-score that corresponds to the 7th decile of the standard normal curve, we first need to determine the cumulative probability up to that point.
The 7th decile represents the point where 70% of the data lies below it and 30% lies above it. Using a standard normal distribution table or calculator, we can find the z-score that corresponds to a cumulative probability of 0.70.
The z-score that corresponds to a cumulative probability of 0.70 is approximately 0.524. Therefore, the z-score that corresponds to the 7th decile of the standard normal curve is 0.524.
To find the z-score corresponding to the 7th decile on the standard normal curve, you'll need to use the cumulative probability distribution function (also known as the Z-table or standard normal table). The 7th decile represents the point where 70% of the data is below it, so you'll be looking for a cumulative probability of 0.70.
Using the Z-table, you can find the z-score that corresponds to a cumulative probability of 0.70, which is approximately 0.52. So, the z-score for the 7th decile on the standard normal curve is 0.52.
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consider the inequalityThe solution set of the inequality is:Select oneX>32X<32X>23X<23
Answers
Consider the inequalitiy 3 - 1 - x <= -2x -3x
\(3-1-x\leq-2x-3x\)\(2-x\leq-5x\)\(-2\ge4x\)\(x\leq-\frac{1}{2}\)(-24x^4) - (-16x^3)
What is the answer
PLEASE
Answers
Answer:
-24x^4 + 16x^3
Step-by-step explanation:
Because exponents of a variable rely on an exponential change rather than a linear change, x^4 and x^3 are not like terms and cannot be combined. A simpler explanation is this:
2^4 + 4^8
You can't add these values, you need to simplify the exponents first. There is no way to add exponents this way without first simplifying them. So if you use variables instead of constants, simplifying the exponents is impossible and thus adding an x^4 term and x^3 term is impossible.
It really comes down to how much you can simplify it without being able to add both terms. Fortunately for you, it's really simple here. Since you're subtracting a negative, you're adding a positive! So:
-24x^4 - -16x^3 = -24x^4 + 16x^3
The value of x from the set {1, 3, 5, 7} that holds true for the equation is?
Answers
The value of x from the given set of values is 5
Area and perimeter of a rectangleA rectangle is a 2 dimensional shape with 4 sides and angle. The formula for calculating the area and perimeter is given as:
Area = length * width
Perimeter = 2(length + width)
If the length of a rectangle is 2 inches more than its width and the perimeter of the rectangle is 24 inches, the resulting equation will be:
2x + 2(x + 2) = 24,
Expand and determine the value of "x"
2x+ 2x + 4 = 24
4x + 4 = 24
Subtract 4 from both sides
4x = 24 - 4
4x = 20
Divide both sides by 4
4x/4 = 20/4
x = 5
Hence the value of x from the given set of values is 5
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Complete question
The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x + 2) = 24, where x is the width in inches, represents this situation. The value of x from the set {1, 3, 5, 7} that holds true for the equation is . So, the width of the rectangle is inches and its length is inches.
A hypothesis can be differentiated from a theory because it is...
a. a specific prediction arising from the theory. c. it talks about how one specific variable affects d. all of the above.
Answers
A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.
Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.
A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.
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Find the value of each variable. Note the signs! A: 3=(-30) (-9) B: =45 (-89)12= C: (-89)12=c D:88=(-88,000)
Answers
Based on the equations:
A has no solution that satisfies the equation.
B cannot be determined without an equal sign.
C is equal to -1068.
D is equal to -88,000.
A: 3=(-30) (-9)
To solve for the variable, we need to simplify the right-hand side of the equation:
-30 multiplied by -9 is 270.
So we have:
3 = 270
This is not a true statement, which means there is no value for the variable that makes this equation work.
B: =45 (-89)12=
There appears to be a missing variable in this equation. Let's call it "x":
x - 45 = (-89)12
To solve for x, we first need to simplify the right-hand side:
(-89)12 is -1068.
So we have:
x - 45 = -1068
To solve for x, we'll add 45 to both sides:
x = -1068 + 45
x = -1023
C: (-89)12=c
Similar to the previous equation, we need to simplify the right-hand side first:
(-89)12 is -1068.
So we have:
c = -1068
D: 88=(-88,000)
There is no variable in this equation, only a number on either side of the equals sign. The equation is already solved, and the solution is not a variable but a number: -88,000.
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Refer to Plastic hardness Problem 1.22. a. Estimate the change in the mean hardness when the elapsed time increases by one hour. Use a 99 percent confidence interval. Interpret your interval estimate.
Answers
99%
The mean change in hardness when the elapsed time increases by one hour is estimated by calculating the 99% confidence interval.
The interval estimates the average value of the sample mean (the expected average hardness increase)
and provides a range within which the true population mean is likely to fall.
A confidence interval of 99% implies that there is a 99% chance that the true population mean lies within the calculated range.
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What is the decimal equivalent of each
rational number?
a.7/20
b.-23/20
c.1/18
d.-60/22
Answers
Answer:
1. )0.35
2. )1.15
3.)0.5 (5 repeating's)
4.)2.72
Step-by-step explanation:
7 divide 20=0.35
-23 divide 20=1.15
-60 divide 22 = 2.727272 but it is 2.72
Write a recursive formula for the sequence below. Use the variable "n" for your formula in your answer.
{2, -8, 32, -128, 512, ... }
Answers
Answer:
\(\begin{cases}a_1 = 2\\\\a_{n} = -4*a_{n-1}\end{cases}\)
============================================
Explanation:
The first line of the answer says "the first term is 2".
The second line says "take any term and multiply by -4 to get the next term".
The \(a_n\) represents the nth term while \(a_{n-1}\) is the term just before it.
The second line shown above is the same as writing \(a_{n+1} = -4*a_n\)
---------------
The -4 is found by dividing any term over its previous one
-8/2 = -4
32/(-8) = -4
-128/32 = -4
512/(-128) = -4
This shows the common ratio is -4 and this sequence is geometric.
-4
-3
-2
-1
0
1
2
3
what is the inequality shown
Answers
Answer:
Ok, I'm pretty sure its -4
PLEASE SOMEONE PLEASE HELP
Answers
The values of x and y on the similar triangles are given as follows:
x = 6, y = 10.
What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.The similar triangles in this problem are listed as follows:
ABC and DBE
Then the proportional relationship relating the side lengths is given as follows:
y/(y + 5) = x/9 = 8/12.
Then the measure of x is obtained as follows:
x/9 = 8/12
Applying cross multiplication, we have that:
12x = 72
x = 72/2
x = 6.
The measure of y is then obtained as follows:
y/(y + 5) = 6/9
y/(y + 5) = 2/3.
3y = 2y + 10
y = 10.
Hence the second option is correct.
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