$1000 is 71.43 percent of the credit limit.
To lower the debt to credit limit ratio by $1000, you have a few options. The first option is to increase your credit limit by requesting a higher limit from your credit card issuer. Alternatively, you can pay off some of your outstanding balance to reduce your debt. Either way, it's important to make sure you're not maxing out your credit limit, as this can negatively impact your credit score.
It's also a good idea to review your spending habits and create a budget to ensure you're not overspending and accumulating debt. By making responsible financial decisions and managing your credit wisely, you can improve your credit score and achieve your financial goals.
To calculate the percentage of $1000 in terms of the credit limit of $1400, we need to divide $1000 by $1400 and multiply the result by 100. This gives us,
($1000 / $1400) x 100 = 71.43%
Therefore, $1000 is approximately 71.43% of the credit limit of $1400.
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0.8752x 78.56
3
0.00429 X 0.01
Answer:
0.00294973268304
Step-by-step explanation:
Matt is 54 3/ inches tall. Nancy is 1 3/8 inches taller than Matt and Jane is 1 1/5
inches taller than Nancy. How tall is Jane?
Jane is 8 13/40 inches tall
Given the following:
Height of Matt = 5 3/4 in = 23/4 inIf Nancy is 1 3/8 inches taller than Matt, hence;
Height of Nancy = 23/4 + 11/8 = 46+11/8 Height of Nancy = 57/8 inif Jane is 1 1/5 inches taller than Nancy, then the height of Jane will be;
Height of Jane = 57/8 + 6/5Height of Jane = 285+48/40Height of Jane = 333/40 = 8 13/40 inchesHence Jane is 8 13/40 inches tall
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Martha needs 28 strawberries for every 4 smoothies she makes. plete the table using equivalent ratios.
Answer:
strawberries smoothies
28 4
21 3
70 10
Step-by-step explanation:
at a party there are only single women and married men with their wives. the probability that a randomly selected woman is single is $\frac{2}{5}$. what fraction of the people in the room are married men?
60% of the people in the room are married men.
We can use the information that the probability of a randomly selected woman being single is 2/5 to find the fraction of people in the room who are married men.
Let's call the fraction of people in the room who are married men x. The fraction of people in the room who are single women is (2/5) and the fraction of people in the room who are married men and their wives is (1-x)
Since there are only single women and married men with their wives at the party, we know that the sum of the fractions of single women and married men and their wives must be 1.
(2/5) + (1-x) = 1
We can solve this equation for x:
x = 1 - (2/5) = 3/5
So the fraction of people in the room who are married men is 3/5 or 0.6
So, 60% of the people in the room are married men.
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help? I don’t understand it
Answer:
B
Step-by-step explanation:
decreasing is a key word meaning negitive
Answer:
B
Step-by-step explanation:
Decrease shows negative and also if temperature decreases , it mostly is negative
Write in radical form. Do not simplify.
11x^1/4
The radical form of the given exponential form of a number 11x^(1/4) is written as ( 11 ) × \(\sqrt[4]{x}\).
As given in the question ,
Given exponential form is equal to :
11x^(1/4)
Using th formula to convert exponential form into radical form in standard form we have :
( y )^ ( a / b ) = \(\sqrt[b]{y^{a} }\)
Here y is equal to x
a is equal to 1
b is equal to 4
Substitute the value of the given expressions in the formula we have,
11x^(1/4)
= ( 11 ) × [x^(1/4) ]
= ( 11 ) × \(\sqrt[4]{x^{1} }\)
Any thing raise to one is the number or variable itself the required radical form is equal to:
= ( 11 ) × \(\sqrt[4]{x}\)
Therefore, the radical form of the given expression 11x^(1/4) is given by :
( 11 ) × \(\sqrt[4]{x}\).
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Please help Fast! Need answer by 1:00 pm
100 POINTS HELP ASAP Linear Combination
Answer:
1) \(x=\dfrac12\)
2) \(n = -3 \ \ \textsf{and} \ \ m = -4\)
3) see below
4) A: 0 = 1
Step-by-step explanation:
Question 1
\(15-0.5(4x-2)+4x=17\)
\(\implies 15-2x+1+4x=17\)
\(\implies 2x+16=17\)
\(\implies 2x=1\)
\(\implies x=\dfrac12\)
Question 2
\(\textsf{rearrange} \ n=m+1 :\)
\(\implies -m=-n+1\)
\(\textsf{add equations} \ -m=-n+1 \ \textsf{and} \ m=2n+2:\\\)
\(\implies0=n+3\)
\(\implies n=-3\)
\(\textsf{substitute} \ \ n=-3 \ \ \textsf{into} \ \ m=n-1:\)
\(\implies m=-3-1\)
\(\implies m=-4\)
Question 3
subtract the second equation from the first
divide both sides by -4
substitute found value for y into first equation
solve for x
Question 4
\(3j=k\)
\(k=3j+1\)
\(\textsf{rearrange} \ 3j=k :\)
\(\implies -k=-3j\)
\(\textsf{add equations}\ -k=-3j \ \ \textsf{and}\ \ k=3j+1:\)
\(\implies 0=1\)
Solution = A
Answer two questions about Equations A and B:
A. 2x1 = 5x
B.
-1 = 3x
Answer:
This is Equation BStep-by-step explanation:
Algebraic equations are mathematical equations that contain unknown variables.To get Equation B from Equation A, we add/subtract the same quantity to/from both sides. Option A is the correct option.Equation A is equivalent to Equation BQuestion 1: We are given equation A as:2x - 1 = 5x .............Equation ATo get Equation B from A, we would subtract 2x from both sides of the equation.2x - 2x - 1 = 5x - 2x- 1 = 3x This is Equation BQuestion 2: Based on the previous answer,2x - 1 = 5x is equal to -1 = 3x.Hence, both Equation A and Equation B are equivalent expressions.Therefore,To get Equation B from Equation A, we add/subtract the same quantity to/from both sides. Option A is the correct option.Equation A is equivalent to Equation BWrite a word problem for this equation 5s+6=46
Answer:
s=41/2 or 8.2
Step-by-step explanation:
Use synthetic division to divide.
(6x³ +3x + 9) \ (x + 2)
Answer:
Step-by-step explanation:
Consider the two functions below
Function A:
A hiker starts tracking her climb 4/5 mile from the trailhead and climbs at a rate of 2 miles per hour.
(FUNCTION B IN PHOTO)
Select all true statements about function A and function B.
The true statements are Function B has greater slope, Function A has greater y intercept and Function B has greater x intercept.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
We have to first find the linear equations of the functions.
Given for function A,
Let x be the number of hours.
Function A can be represented as f(x) = 4/5 + 2x
Equation in slope intercept form is y = mx + c, where m is the slope and c is the intercept along Y axis.
Y intercept is the point of the line where it touches the Y axis. x coordinate will be zero here.
x intercept is the point of the line where it touches the X axis. y coordinate will be zero here.
y = 2x + (4/5), in slope intercept form.
Here 2 is the slope and 4/5 is the y intercept.
When y = 0, 2x + (4/5) = 0, then x = -2/5
x intercept = -2/5
For function B,
we have when x = 0, f(x) = y = 2/3
y intercept = 2/3
Slope = [(2/3) - (-25/3)] / [0 - -3]
= [27/3] / 3
= 9 / 3
= 3
Equation in slope intercept form of function B is,
y = 3x + 2/3
When y = 0, 3x + 2/3 = 0, then x = -2/9
x intercept = -2/9
So function B has greater slope as slope is 3 for B and 2 for A.
Function A has greater y intercept as y intercept for A is 4/5 and for B is 2/3.
Function B has greater x intercept as x intercept is -2/9 for B and -2/5 for A.
Hence the correct options are function B has greater slope, Function A has greater y intercept and Function B has greater x intercept.
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m23 is 6x +118)" and m 25 is 1x + 78).
1
2
4
5 6
78
What is m26?
Answer:78
Step-by-step explanation:
(0)
Let L1 and L2 be any two context-free languages, for both of which Σ = { a, b }. Which of the following languages is context-free?
A. L1 ∩ L2
B. {a, b }* − L1
C. L2 L1
a. A and C
b. C only
c. B and C
d. A and B
The correct answer is option A, A and C. A context-free language is one that can be generated by a context-free grammar.
We need to determine which of the given languages is context-free.
Option A is the intersection of two context-free languages L1 and L2. The intersection of context-free languages is also a context-free language. Hence, option A is context-free.
Option B is the complement of a context-free language L1, which means it contains all strings over {a, b} that are not in L1. The complement of a context-free language is not necessarily context-free. Hence, option B may or may not be context-free.
Option C is the concatenation of two context-free languages L2 and L1. The concatenation of context-free languages is also a context-free language. Hence, option C is context-free.
Therefore, options A and C are context-free, and the correct answer is A and C, option a.
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You want to coat your 20 ft x 25 ft driveway with a 0.500-inch thick layer of gold. Given that the market value of gold is 1197 dollar/ounce and that the density of gold is 19.3 g/cm3, what will be the cost of the gold required for this project? (1 ounce = 28.35 g
The cost of the gold required for coating the driveway with a 0.500-inch thick layer of gold would be approximately 518034.49 dollars.
Since the density of gold is given in grams per cubic centimeter (g/cm³), the thickness of the layer should be converted to centimeters as well.1 inch = 2.54 cm
So, 0.500 inch = 0.500 x 2.54 cm = 1.27 cm
Therefore, the volume of gold required is:
Volume = area x thickness= 500 x 1.27= 635 cm³
Now, the mass of gold required can be calculated as:mass = density x volume= 19.3 x 635= 12260.5 g
Since 1 ounce = 28.35 g, the mass can be converted to ounces as follows:
mass in ounces = mass in grams / 28.35= 12260.5 / 28.35= 433.17 ounces
Finally, the cost of the gold can be calculated by multiplying the mass in ounces by the market value per ounce.
The market value is given as 1197 dollar/ounce. Therefore, the cost can be calculated as:
Cost = mass in ounces x market value= 433.17 x 1197= 518034.49 dollars
Therefore, the cost of the gold required for coating the driveway with a 0.500-inch thick layer of gold would be approximately 518034.49 dollars.
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What is 75 cm in inches?
The length of 75cm converting to inches is 29.53 inches.
The inch is a unit of length commonly used in the United States, the United Kingdom, and some other countries. It can be calculated by using the conversion factor of 1 inch being equal to 2.54 centimeters.
Understanding conversions between different units of measurement is crucial in various fields such as science, engineering, and mathematics. Therefore, to convert centimeters to inches, we need to divide the number of centimeters by 2.54.
In this case, 75 cm divided by 2.54 results in 29.53 inches.
The length of 75 cm is equivalent to approximately 29.53 inches.
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Jeff had $20. He spent 3/8
of his money on lunch. How much money does Jeff have left?
A.$12.50
B.$7.50
C.$8.25
D.$16.75
Answer:
$12.50
Step-by-step explanation:
help me pls in math plssss
Answer:
The answer is of this question is 324.
A salesperson earns a 12.5% commission on every car sold. The salesperson sold a car for $17,500. What is the commission earned from the sale? Round your answer to the nearest cent.
A n s w e r:
$2187.50
Given: △ABC with side lengths a, b, and c, and height hProve: Area=1/2 ab sin C Triangle A B C has sides a b c. A vertical dashed line extends from angle B perpendicular to side b.Drag and drop the statements into the boxes to correctly complete the proof.Statement: Reason △ABC with side lengths a, b, and c, and height h: Given: Triangle area formula : Definition of sineasinC=h:Multiplication Property of EqualityArea=1/2 ba sin C: Substitution Property: Commutative Property of MultiplicationOptionsArea = 1/2 ab sin CArea = 1/2 bhArea = 1/2 ahsin C = h/asin C = h/b
The complete sentence is
Area = 1/2 bh ------> Triangle area formula a sin C=h ------> Multiplication Property of EqualityArea = 1/2 ab sin C ------> Commutative Property of MultiplicationWhat is Trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc are their respective names and acronyms).
△ABC with side lengths a, b, and c, and height h------>GivenArea = 1/2 bh ------> Triangle area formula sin C = h/a ------> Definition of sine a sin C=h ------> Multiplication Property of EqualityArea=1/2 ba sin C ------> Substitution PropertyArea = 1/2 ab sin C ------> Commutative Property of MultiplicationLearn more about Trigonometry here:
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Write out the expression: one more than 5 times x squared
Answer:
5*x^2
Step-by-step explanation:
draw a graph of y equals 7 + 4 x - 2x squared
a) use a graph to find the Turning point
b) use your graph to look for the roots .
Answer:
thanks man i really needed points
Step-by-step explanation:
Answer:
i really need it
Step-by-step explanation:
thanks for the points
Most married couples have two or three personality preferences in common. A random sample of 379 married couples found that 134 had three preferences in common. Another random sample of 573 couples showed that 215 had two personality preferences in common. Let Pi be the population proportion of all married couples who have three personality preferences in common. Let p2 be the population proportion of all married couples who have two personality preferences in common. (a) Find a 90% confidence interval for pi -p2. (Round your answers to three decimal places.) lower limit upper limit (b) Examine the confidence interval in part (a) and explain what it means in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers?
a)The sample sizes are n1 = 379 and n2 = 573. The Z-score for a 90% confidence level is approximately 1.645.
b)The confidence interval contains both positive and negative numbers, it means that the true difference between the population proportions can be either positive or negative.
(a) To find the 90% confidence interval for pi - p2, we can use the formula:
CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))
where p1 is the proportion of couples with three preferences in common, p2 is the proportion of couples with two preferences in common, n1 is the sample size for couples with three preferences in common, n2 is the sample size for couples with two preferences in common, and Z is the Z-score corresponding to a 90% confidence level.
From the information provided, p1 = 134/379 = 0.353 and p2 = 215/573 = 0.375. The sample sizes are n1 = 379 and n2 = 573. The Z-score for a 90% confidence level is approximately 1.645.
Plugging these values into the formula, we get:
CI = (0.353 - 0.375) ± 1.645 * sqrt((0.353 * (1 - 0.353) / 379) + (0.375 * (1 - 0.375) / 573))
Calculating this expression, we find that the lower limit of the confidence interval is -0.047 and the upper limit is 0.029.
Therefore, the 90% confidence interval for pi - p2 is approximately -0.047 to 0.029.
(b) In the context of this problem, the confidence interval in part (a) means that we are 90% confident that the true difference between the population proportions of couples with three preferences in common and couples with two preferences in common falls between -0.047 and 0.029.
Since the confidence interval contains both positive and negative numbers, it means that the true difference between the population proportions can be either positive or negative.
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Consider the following public good provision game. Players can choose either to contribute (C) or not contribute (NC) to the public good. If someone contributes, both will be able to consume the good, which worths v dollars and is publicly known. The player i's cost to contribute is Cᵢ, which is private information. It is common knowledge that C₁,C₂ are drawn from a uniform distribution with support (Cₗ, Cₕ]. Assume v > Cₕ. C NC
C ᴠ - C₁ . ᴠ - C₂ ᴠ - C₁, ᴠ
(a) Suppose player 2 contributes if C₂ < C*₂, where C*₂ is a cutoff point. What is the expected payoff for player 1 to contribute and not contribute? What would player 1 do when C₁ is low? (b) Suppose player 1 also employ a cutoff strategy. Solve for the cutoff point (C*₁, C*₂). What is the Bayesian Nash equilibrium of the game?
In the given public good provision game, player 1's expected payoff for contributing and not contributing depends on player 2's cutoff point (C*₂). When player 1 contributes, their payoff is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. When player 1 does not contribute, their payoff is always 0.
How does player 1's expected payoff vary based on player 2's cutoff point (C*₂)?In this public good provision game, player 1's decision to contribute or not contribute depends on their private cost, C₁, and player 2's cutoff point, C*₂. If player 1 contributes, they incur a cost of C₁ but gain access to the public good valued at v dollars. However, if C₁ is greater than or equal to C*₂, player 1's expected payoff for contributing would be 0 since player 2 would not contribute.
On the other hand, if player 1 does not contribute, their expected payoff is always 0, as they neither incur any cost nor receive any benefit from the public good. Therefore, player 1's expected payoff for not contributing is constant, irrespective of the cutoff point.
To determine player 1's expected payoff for contributing, we consider the case when C₁ is less than C*₂. In this scenario, player 2 contributes to the public good, allowing both players to consume it. Player 1's payoff would then be v - C₁, which represents the value of the public good minus their cost of contribution. However, if C₁ is greater than or equal to C*₂, player 1's contribution would be futile, as player 2 would not contribute. In this case, player 1's expected payoff for contributing would be 0, as they would not gain access to the public good.
In summary, player 1's expected payoff for contributing is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. On the other hand, player 1's expected payoff for not contributing is always 0. Therefore, when C₁ is low, player 1 would prefer to contribute, as long as the cost of contribution is less than player 2's cutoff point.
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Complete the equation describing how
x and y are related.
x
У
-2
4
0
1
2
3
-4.5 -5 -5.5 -6 -6.5
y = [? ]x + [ ]
The equation x and y are related by y = -0.5x - 5.
Given:
x -2 -1 0 1 2 3
y -4 -4.5 -5 5.5 -6 -6.5
we need to find a equation y = [ ? ]x + [ ]
let we assume the coefficient of x be m and the other constant be c.
So, y = mx + c
Now from the table we see when x = 0 , y = -5
putting this in equation we get
-5 = m * 0 + c
=> c = -5
Rewriting the equation with value of c
y = mx - 5
Now at x = 1 , y = -5.5
Replacing the values we get
-5.5 = m * 1 - 5
m = -0.5
Rewriting the equation with value of m
y = -0.5x - 5
Hence the required equation is:
The equation x and y are related by y = -0.5x - 5.
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TRUE/FALSE. Maximum a posteriori receiver estimates the input X, according to the "a posteriori probability for the given output. Assume in the binary communication system (accepts ibit and Obit input), receiver makes a random error with a probability c+0.46 and probability of accepting lbit is 0.34 Maximum a posteriori receiver estimates 1 bit if the system output is Obit?
Maximun a posteriori is False.
The Maximum a Posteriori (MAP) receiver does not estimate the input X based on the a posteriori probability for the given output. Instead, it estimates the input based on the maximum likelihood criterion. In a binary communication system where the receiver makes random errors with a probability c+0.46 and the probability of accepting the Obit input is 0.34, the MAP receiver would estimate 1 bit if the system output is Obit only if the a posteriori probability of the input being 1 is higher than the probability of it being 0.
The statement in the question is false. The Maximum a Posteriori (MAP) receiver does not estimate the input X based on the a posteriori probability for the given output. Instead, it uses the maximum likelihood criterion to estimate the input. In a binary communication system, the MAP receiver would estimate the input based on the probability of the received output given the possible input values. It calculates the likelihood of the observed output under different input hypotheses and chooses the one that maximizes the likelihood.
In the given scenario where the receiver makes random errors with a probability c+0.46 and the probability of accepting the Obit input is 0.34, the MAP receiver would estimate 1 bit if the a posteriori probability of the input being 1 is higher than the probability of it being 0. The a posteriori probability is calculated using Bayes' theorem, which involves multiplying the prior probability of the input being 1 with the likelihood of the observed output given the input being 1, and normalizing it with the total probability of the observed output.
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Match each quotient with its answer when expressed in the form of a + bi
Match each quotient of the complex numbers accordingly as shown below.
How to match each quotient when expressed in the form of a + bi?
A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1. The real part of a complex number is represented by a, while the imaginary part is represented by bi.
No. 1
Multiply the numerator and denominator by 3-4i:
1/(3 + 4i) = 1/(3 + 4i) * (3 - 4i)/(3 - 4i)
= (3 - 4i)/(9 + 16)
= (3 - 4i)/25
= 3/25 - 4/25 i
No. 2
Multiply the numerator and denominator by 3+4i:
1/(3 - 4i) = 1/(3 - 4i) * (3 + 4i)/(3 + 4i)
= (3 + 4i)/(9 + 16)
= (3 + 4i)/25
= 3/25 + 4/25 i
No. 3
i/i = 1
= 1 + 0i
No. 4
Multiply the numerator and denominator by 3-4i:
(3 - 4i)/(3 + 4i) = (3 - 4i)/(3 + 4i) * (3 - 4i)/(3 - 4i)
= (9 - 24i -16) / (9 + 16)
= (-7 - 24i) / 25
= -7/25 - 24i/25
No. 5
(3 - 4i)/ 1 = 3 - 4i
No. 6
Multiply the numerator and denominator by 3+4i:
(3 + 4i)/(3 - 4i) = (3 + 4i)/(3 - 4i) * (3 + 4i)/(3 + 4i)
= (9 + 24i -16) / (9 + 16)
= (-7 + 24i) / 25
= -7/25 + 24i/25
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Linear programming can be used to find the optimal solution for profit, but cannot be used for nonprofit organizations. False True
The statement "Linear programming can be used to find the optimal solution for profit, but cannot be used for nonprofit organizations" is False.
Linear programming can be used to find the optimal solution for profit as well as for non-profit organizations. Linear programming is a method of optimization that aids in determining the best outcome in a mathematical model where the model's requirements can be expressed as linear relationships. Linear programming can be used to solve optimization problems that require maximizing or minimizing a linear objective function, subject to a set of linear constraints.
Linear programming can be used in a variety of applications, including finance, engineering, manufacturing, transportation, and resource allocation. Linear programming is concerned with determining the values of decision variables that will maximize or minimize the objective function while meeting all of the constraints. It is used to find the optimal solution that maximizes profits for for-profit organizations or minimizes costs for non-profit organizations.
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Convert 14 cubic centimeters to cubic millimeters.
Answer:
14 centimeters is 140 milimeters
Step-by-step explanation:
multiply centimeters by ten to get millimeteres
Answer:
The answer is
→ 14,000 cubic millimeters
Step-by-step explanation:
Given: 14 cubic centimeters.
Solve:14 cubic centimeters to cubic millimeters is 14,000 cubic millimeters.
Step 1: Multiply 14 by 1,000
\(14*1,000=14,000\)
Hence, your answer is 14,000 cubic millimeters.
Evaluate 11.5x + 10.9y when x = 6 and y =7
The value of the algebraic expression 11.5x + 10.9y at x = 6 and y = 7 is 145.3
What is an algebraic expression?
Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division
The given algebraic expression is 11.5x + 10.9y
We have to find the value of the algebraic expression at x = 6 and y = 7
Putting x = 6 and y = 7 in the algebraic expression,
\(11.5 \times 6 + 10.9 \times 7\)
69 + 76.3
145.3
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