Answers
The value of n that makes the equation true is 0.
What is an exponent?In Mathematics, an exponent is sometimes referred to as power and it can be defined as a mathematical operation that is used in conjunction with an algebraic expression to raise a quantity to the power of another and it is generally written as;
bⁿ
Where:
the variables b and n represent numerical values or an algebraic expression.
By applying the property of exponents based on the law of indices for powers and division, we have the following:
Expression = 85^n/85^6 = 85^{-6}.
Expression = 85^{n - 6} = 85^{-6}
Since the powers both have a common base, we have:
n - 6 = -6
n = 6 - 6
n = 0.
Check:
85^0/85^6 = 85^{-6}
1/85^6 = 85^{-6}
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Related Questions
On a math test a student,Sarah, has to identify all the coefficients and constants of the expression . 6n+y+4 says that 6 is a coefficient and 4 is a constant. Identify all the coefficients and constants of the expression. What error Sarah might have made?
Answers
In the given expression 6n + y + 4 which 6 is a coefficient, y is a variable, and 4 is a constant.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
6n + y + 4
As per the question, Sarah says that 6 is a coefficient and 4 is a constant.
Thus, the error she might have made is confusing the variable y with the coefficient 6.
In the expression 6n + y + 4, 6 is a coefficient, y is a variable, and 4 is a constant.
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For IQ scores of students, state whether you would expect a histogram of the data to be bell-shaped, uniform, skewed left, or skewed right. Choose the correct answer below. Bell shaped Skewed right Uniform Skewed left
Answers
Given situation satisfies data dustribution to be skewed left
What does it signify if a student's grade distribution is biassed to the left?
The mean is typically lower than the median, which is frequently lower than the mode, if the data distribution is biassed to the left. The mode is frequently smaller than that of the median, which is lower than the mean, when the distribution of the data is skewed to the right.
How does IQ work?
intellectual capacity
The term "IQ" refers to intelligence level. IQ tests are a tool for assessing intellectual capacity. They are made to reflect a variety of cognitive abilities, including logic, reasoning, and problem-solving.
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PLEASE HELP DUE SOON!!!
Answers
The solution to the system of linear equation are -1 and 2
What is system of linear equationA system of linear equations is a collection of two or more linear equations with the same variables. The goal is to find the values of the variables that satisfy all the equations in the system. Linear equations are equations that have variables that are raised to the power of 1 and the coefficients of the variables are real numbers.
In the problem, we have equations as;
y = 2x + 4 ..eq(i)
x + y = 1 ...eq(ii)
Plotting this on a graph,
The value of x and y are -1 and 2
From the above, the solutions the student gave is wrong
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in one recent year, 630 different pitchers pitched to at least one batter in a major-league baseball game. if the probability of a randomly-selected person being left-handed is 0.117, how many of those pitchers would you expect to be left-handed? round to the nearest whole person.
Answers
You would expect 73 left-handed pitchers out of the 630 total pitchers in a major-league baseball game in one recent year.
The probability of a randomly selected person being left-handed is 0.117. Using this information, the expected number of left-handed pitchers in a group of 630 can be determined using the formula:
Expected Value = (Probability of Event) * (Number of Trials)
Expected Value = (0.117) * (630)
Expected Value = 73.31
Therefore, you would expect 73 left-handed pitchers out of the 630 total pitchers in a major-league baseball game in one recent year.
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two students wish to investigate how the amount of pollution and number of fish in a stream are related. identify the dependent and independent variables.
Answers
In this investigation, the dependent variable is the number of fish in the stream and the independent variable is the amount of pollution.
Variables are symbols or names that are used to represent values in a mathematical or scientific investigation. They allow us to describe and analyze patterns and relationships in data.
There are two main types of variables:
1. Independent variables are variables that are manipulated or controlled in an experiment to determine their effect on the dependent variable. The independent variable is also referred to as the predictor variable or the explanatory variable.
2. Dependent variables are variables that are being measured in an experiment and are dependent on the independent variable. The dependent variable is also referred to as the response variable or the outcome variable. It is the variable that is being affected by the independent variable.
The dependent variable is dependent on the independent variable, as changes in the amount of pollution are expected to affect the number of fish in the stream. The goal of the investigation is to determine the relationship between the two variables and see how changes in the amount of pollution affect the number of fish in the stream.
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the price of an item yesterday was 180 today the price rose to 459 find the percentage increase
Answers
Answer:155.56%.
Step-by-step explanation:To find the percentage increase, we need to calculate the difference between the two prices and divide it by the original price, then multiply by 100 to express the answer as a percentage.
Percentage increase = (New price - Original price) / Original price * 100
Percentage increase = (459 - 180) / 180 * 100
Percentage increase = 279 / 180 * 100
Percentage increase = 155.56%
So the price of the item increased by 155.56%.
what is the soulution to the equation 37 x = 9 x + 4
Answers
Answer:
x = 6.5
Step-by-step explanation:
37x = 9x + 4
37x - 9x = 4
26x = 4
x = 6.5
Anyone know how to do this
Answers
Answer:
this is an corresponding angle meaning it would be the same as angle DAE.
QuESTION 15 Which difficulty of range as measure 0f 'variability is overcome by interquartile range? a. The range is difficult to compute b. The range is influcnced t0o much by extreme values The sum of the range variances is ZEtO d. The range is negative
Answers
The difficulty of range as a measure of variability that is overcome by interquartile range is option b that is The range is influenced too much by extreme values.
What is variance?The variance is the mean squared difference between each data point and the mean-centered distribution. A statistical assessment of the dispersion of values in a data collection is referred to as variance. Variance explicitly assesses how distant each number in the set is from the mean (average), and consequently from every other number in the set. Variance is a measure of how data points differ from the mean, whereas standard deviation is a measure of statistical data distribution. The primary distinction between the two is that standard deviation is expressed in the same units as the mean of the data, whereas variance is expressed in squared units.
Here,
The interquartile range overcomes the problem of range as a measure of variability. Extreme values have an undue impact on the range.
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Two restaurants sell meals for different prices, as shown below. Sophia wants to buy 2 meals. What is the difference between the prices she would pay at the two restaurants? Give your answer in pounds (£). < Back to task Restaurant A £16.50 each Buy one meal, get another one half price Scroll down Watch video Restaurant B £16 each Buy two meals, get 15% off the cost of both Answer >
Answers
Sophia would pay £2.45 less if she bought her 2 meals at Restaurant B
What is cost?
Cost is the value of money that has been used up to produce something or deliver a service, and hence is not available for use anymore.
First, let's find the total cost of 2 meals at Restaurant A. The first meal costs £16.50, and the second meal is half-price, so it costs £16.50 / 2 = £8.25.
The total cost of 2 meals at Restaurant A is £16.50 + £8.25 = £24.75.
Next, let's find the total cost of 2 meals at Restaurant B. The meals each cost £16, so the total cost of 2 meals is £16 * 2 = £32.
After applying a 15% discount, the total cost of 2 meals is £32 * (1 - 0.15) = £27.20.
Finally, let's find the difference between the prices Sophia would pay at the two restaurants:
£24.75 - £27.20 = -£2.45
So, Sophia would pay £2.45 less if she bought her 2 meals at Restaurant B
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China and Germany specialize in the production of silk and automobiles respectively. They are considered the best at their specializations. Assume that China chooses not to trade silk with Germany in exchange for automobiles. Which perspective is China using in regards to not trading to another country which provides a specialization they do not have? O absolute advantage O comparative advantage O new trade theory O porter's model
Answers
both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.
Explain about comparative advantage.China is using the comparative advantage perspective in regards to not trading silk with Germany in exchange for automobiles. According to the theory of comparative advantage, a country should specialize in producing and exporting the goods or services that they can produce more efficiently or at a lower opportunity cost compared to other goods and services.
According to question;In this case, China has a comparative advantage in producing silk and a comparative disadvantage in producing automobiles compared to Germany, which has a comparative advantage in producing automobiles and a comparative disadvantage in producing silk.
Hence, both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.
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Short answer needed ASAP
Answers
Answer:
B
Step-by-step explanation:
I tried my best to do the math but im not exactly sure.
Answer: B
Step-by-step explanation:
I did the test
Camille's Frisbee has a diameter of 16 centimeters. What is the Frisbee's area?
Answers
Step-by-step explanation:
Assuming that the frisbee is a circle it would just be using the area of a circle function which is
A=pi(r)^2
So the radius is half the diameter
A=pi(8)^2
Exponents first
A=pi(64)
And multiply
Area equals then about 201.0619
However you may need to round for the right decimal.
What’s the population in six years?
Answers
79472.432 fewer people will live in Todsham in 6 years compared with now.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
Current population = 300,000
Decrease in population = 5%
Now,
The population after x years can be written as an equation.
y = 300,000 x [tex]0.95^x[/tex]
For x = 6,
y = 300,000 x [tex]0.95^6[/tex]
y = 300,000 x 0.7351
y = 220527.568
Now,
The difference in population after 6 years.
= 300,000 - 220527.568
= 79472.432
Thus,
79472.432 fewer people.
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True or False?
Every rectangle with four congruent sides is a square.
Every rhombus is a quadrilateral.
Every square is a parallelogram.
Every quadrilateral is a square.
Answers
A square is any rectangle with four similar sides: TRUE
Rhombuses are all quadrilaterals: FALSE
A parallelogram exists in every square: FALSE
A square exists in every quadrilateral: TRUE
What are quadrilaterals?A quadrilateral in geometry is a four-sided polygon with four sides and four corners (vertices).
The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name.
In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon).
The square is the only quadrilateral that is regular (all sides and angles are equal).
Therefore, every other quadrilateral is irregular.
A square is any rectangle with four similar sides.
Not all rhombuses are quadrilaterals.
Not all squares are parallelograms.
A square exists in every quadrilateral.
Therefore, a square is any rectangle with four similar sides: TRUE
Rhombuses are all quadrilaterals: FALSE
A parallelogram exists in every square: FALSE
A square exists in every quadrilateral: TRUE
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find the least positive integer $n$ such that no matter how $10^n$ is expressed as the product of two positive integers, at least one of these two integers contains the digit 0.
Answers
The least positive integer $n$ such that no matter how $10^n$ is expressed as the product of two positive integers, at least one of these two integers contains the digit 0, is 7.
Latex formula for equation.
f(x) = x^2 + 2x + 1
Let's consider the factorization of $10^n$ for increasing values of $n$.
For $n = 1$, $10^1 = 10$ which contains the digit 0.
For $n = 2$, $10^2 = 100$ which contains the digit 0.
For $n = 3$, $10^3 = 1000$ which contains the digit 0.
For $n = 4$, $10^4 = 10,000$ which contains the digit 0.
For $n = 5$, $10^5 = 100,000$ which contains the digit 0.
For $n = 6$, $10^6 = 1,000,000$ which contains the digit 0.
For $n = 7$, $10^7 = 10,000,000$ which contains no digit 0.
Therefore, the least positive integer $n$ is 7.
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The approximate amount of calories, c, that a dog needs each day is represented by C=72M^3/4, with m being the dog's weight in KG. How many calories would a 64 kg dog need? (Radicals and Rational Exponents)
Answers
C = 72 * (64)^(3/4)
C = 72 * 4^(3/4) * (64)^(1/4)
C = 72 * 4^(3/4) * 2^6
C = 72 * 8 * 2^6
C = 576 * 2^6
C = 576 * 64
C = 37,248 calories
So, a 64 kg dog needs approximately 37,248 calories per day
multiplicative of the fraction 4 5
Answers
8/10
12/15
16/20
when joe received a 200$ bonus from his boss, he decided to use it on new clothes. he bought new shoes, a new tie, and a new shirt and had $10 left over. the shoes cost three times as much as the tie and shirt together, and the shirt cost a quarter as much as the shoes and tie together. how much did joe pay for his new shoes? for the tie? for the shirt?
Answers
The cost of the tie was 127.50 - (90 + 7.50) = 30.
Joe paid 90 for his new shoes, 30 for the tie, and 7.50 for the shirt.
The total cost of the shoes, tie, and shirt was 127.50.
The cost of the shoes was 3 times the cost of the tie and shirt together. Therefore, the cost of the shoes was 3 x (30 + 7.50) = 90.
The cost of the shirt was a quarter the cost of the shoes and tie together. Therefore, the cost of the shirt was (90 + 30) / 4 = 7.50.
The cost of the tie was the remaining amount after subtracting the cost of the shoes and shirt from the total cost. Therefore, the cost of the tie was 127.50 - (90 + 7.50) = 30.
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3(2x + 1) + 2(x + 4)
Answers
Answer:
8x-5
Step-by-step explanation:
A gym charges $25 to join plus $10 per month membership fee. Is this situation proportional or not proportional? Justify your answer.
Answers
The required equation model by "A gym charges $25 to join plus $10 per month membership fee." is y = 25 + 10x, which is not a proportional relationship.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let the number of months be x and the total amount for the gym after x months be y,
According to the question, A gym charges $25 to join plus $10 per month membership fee.
y = 25 + 10x
Thus, the equation model by "A gym charges $25 to join plus $10 per month membership fee." is y = 25 + 10x, which is not a proportional relationship.
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an examination profile sheet allows individuals to compare their standard score multiple against what group? a) the average of all candidates in your rate
Answers
The statement that "An examination profile sheet allows the person to compare their standard score multiple against average of candidates advanced in your rate" is not necessarily true or false.
The Standard Scores depends on the specific examination and the examination profile sheet being used.
Some examination profile sheets may allow individuals to compare their standard score multiple against the average of candidates advanced in their rate, while others may not.
It is important to note that the reference group used to compare standard score multiples can have a significant impact on the interpretation of the results.
Therefore, it is essential to understand the context and purpose of the examination and the examination profile sheet being used.
The given question is incomplete , the complete question is
An examination profile sheet allows individuals to compare their standard score multiple against the average of all candidates in your rate . Is the statement TRUE or FALSE .
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The measure of an angle is 34°. what is the measure of its supplement? responses 34° 34° 56° 56° 146° 146° 214°
Answers
So take the value 34 degrees and subtract it from 180 to find its supplement angle.
180-34=146
Thus the supplement angle to 34 degrees is 146 degrees.
The measure of of the supplement angle would be 146°.
What is a radian?
The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics
Given is the angle 34°.
Let the measure of the supplement angle be {x}. So, we can write -
{x} + 34 = 180
{x} = 180 - 34
{x} = 146°
Therefore, the measure of of the supplement angle would be 146°.
A Square pyramid is shown, with dimensions in centimeters (cm).
What is the volume, in cubic centimeters, of the pyramid? Show all work solving this problem.
- formula used and all work for the area of the base
- formula used and all work for the volume of the pyramid
Answers
The volume of the Square pyramid is 400 cm³
Volume of the Square pyramid:A square pyramid that has four triangular lateral faces with a square base is known as a Square pyramid.
The formula for the Volume of the Square pyramid is given by
Volume of Square pyramid = (1/3) × b² × h
Where
b = Side of the square base
h = Height of the pyramid
Here we have
A Square pyramid is shown, with dimensions in centimeters (cm).
Height of the pyramid, h = 12 cm
Base of the pyramid, b = 10 cm
By the formula, Volume of Square pyramid = (1/3) × b² × h
Volume of Square pyramid = (1/3) × (10)² × 12
= 100 × 4
= 400 cm³
Therefore,
The volume of the Square pyramid is 400 cm³
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What are the number of distinct subsets and number of distinct proper subsets for {a,b,c,d,e,f}?{a,b,c,d,e,f}?
Answers
{a,b,c,d,e,f} each have 63 distinct subsets, including distinct proper subsets.
Explain about the Subset Theory?A subset is a part of the a universal set mathematically, which implies that every element in the given set is likewise a component of the entire set.For instance, a set A is only referred to as the subset of such a set B if and only if both sets' items are present in the set A. a subset's symbolic representation: A ⊆ B.The formula: = 2ⁿ . where n is the total number of items in the set, can be used to calculate the total number unique subsets of a set.Currently, an empty set always makes up this number of subsets.
There are:
in all, appropriate subsets.
= 2ⁿ - 1
Given set: {a,b,c,d,e,f}
Total number of digits in the set :
n(S) = 6
Thus,
The total number of subsets in this given set:
= 2ⁿ
= 2⁶
= 64
There are always an empty set in this amount of subsets.
Thus, there are 63 appropriate subsets in all of the given set.
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there are 43 students in the university travel club. the following information and venn diagram show how many students traveled to germany, france, and spain. how many students have been to germany or france but not spain?
Answers
There are 43 students in the university travel club, and the following information and Venn diagram show how many students traveled to Germany, France, and Spain. According to the Venn diagram, 10 students have been to Germany, 15 students have been to France, and 8 students have been to Spain.
To further explain, 10 students have been to Germany, and 15 students have been to France. Of these 25 students, 6 have been to both Germany and France, leaving 19 students who have been to either Germany or France. However, 8 of these 19 students have also been to Spain, leaving 11 students who have been to either Germany or France but not Spain. Adding the 6 students who have been to both Germany and France but not Spain brings the total to 16 students who have been to either Germany or France but not Spain.
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algebra 1 T.24 Point-slope form: write an equation PPE
The points (-5, -4) and (4, 1) fall on a particular line. What is its equation in point-slope
form?
Use one of the specified points in your equation. Write your answer using integers, proper
fractions, and improper fractions. Simplify all fractions.
DO
Answers
The equation of the line passing through given points in slope-intercept form is y = 5x/9 + 11/9
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a line is passing through two points (-5, -4) and (4, 1), we need to find its equation,
We know that, an equation of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by,
(y-y₁) = (y₂-y₁) / (x₂-x₁) (x-x₁)
Here, (x₁, y₁) and (x₂, y₂) = (-5, -4) and (4, 1),
Therefore,
(y₂-y₁) / (x₂-x₁) = 1+4 / 4+5 = 5/9
Setting the equation,
y+4 = 5/9 (x+5)
y+4 = 5x/9 + 25/9
y = 5x/9 + 11/9
Hence, the equation of the line passing through given points in slope-intercept form is y = 5x/9 + 11/9
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Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a. mean b. median c. 2nd quartile d. 50th percentile
Answers
The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.
The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.
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9 is multiplied by the cube of a number.
Answers
Answer: 1000
Step-by-step explanation:
9 cubed is 9³ = 9 × 9 × 9 = 729 10 cubed is 10³ = 10 × 10 × 10 = 1000 hope it helps
if the plant filled each of its cans to 12 ounces, what would be the standard deviation of the sample of 10 cans?
Answers
If each of the plant's cans was filled to 12 ounces, the standard deviation of the sample of 10 cans would give us an idea of how much the weights of the cans deviate from the average weight of 12 ounces.
The calculation of the standard deviation requires knowledge of the mean and variance of the sample. To find the variance, we would need to subtract the mean from each of the observed weights, square the differences, and find the average of the squared differences. Finally, to find the standard deviation, we would take the square root of the variance.
It's worth noting that in practice, finding the standard deviation of a sample can be a complex and time-consuming process, especially when dealing with large sample sizes. However, it is a valuable metric that provides important information about the distribution and spread of the data.
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