We are given the equation
4x + 210 - 2x = 260
Firstly, we need to collect the like terms
4x - 2x + 210 = 260
2x + 210 = 260
Secondly, Make 2x the subject of the equation
2x = 260 - 210
2x = 50
Divide both sides by 2
2x/2 = 50/2
x = 25
The answer is 25
Find the difference. Write you answer in simplest form.
9/10 - 4/10
Answer:
1/2
Step-by-step explanation:
hope it helps :)
what is 1.006 into words
Answer:
1 and 6 thousandths.
Step-by-step explanation:
To say the decimal point into words, you say and.
The decimal points are tenths, hundreths, thousandths, ten thousandths, hundred thousands, millionths
Answer:
one and six thousandths
Step-by-step explanation:
Hope this helps
The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer as a whole number or fraction in simplest form.
13
13
13/3
13/3
Answer:
Step-by-step explanation:
To find the scale factor, take the value of one side length from the scaled copy and divide it by the value of the corresponding side length of the original.
39/13 = 3
Therefore, the scale factor is 3.
8 + 9x + 4(11 -- 2x)
-41-2x – 7) + 6x - 7
9 - 31–4 + 3x) + 12x
Answer:
240766 - 52731x + 840x^2 + 144x^3
rosas kitten weighed 3 pounds when he was 3 months old. now he weighs 9 pounds. how many pounds has the kitten gained since he was 3 months old? explain how you found your answer
ALGEBRA 2
Name the property of real numbers illustrated by each equation.
#21
Answer:
The property showed in the number 21 is the distributive property
simplify log(2)*log(5)*log 2(32)
MANY POINTS
log(2) * log(5) * log2(32) ≈ 1.052245.
We can simplify this expression by using the fact that log a(b^c) = c*log a(b) and the values of log(2) and log(5) which are approximately 0.301 and 0.699 respectively.
We have:
log(2) * log(5) * log2(32)
= log(2) * log(5) * 5
= 0.301 * 0.699 * 5
= 1.052245
Therefore, log(2) * log(5) * log2(32) ≈ 1.052245.
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The sum of two numbers is thirty one. The first is five less than the second. Find the numbers
Answer:
Step-by-step explanation:
First Number : x - 5
Second Number : x
x + ( x - 5) = 31
2x - 5 = 31
2x = 31 + 5
2x/2 = 36/2
x = 18
Then plugin x= 18 into First numer X - 5
x - 5
18 - 5 = 13
18 + 13 = 31
so .....
First Number is 13
Second number is 18
on sunday, january 2, 2011, 16 games were played in the national football league. the number of rushing yards, passing yards, first downs, and points for the 32 teams was recorded. in order to predict a team’s points from rushing yards (x1), passing yards (x2), and first downs (x3), a multiple regression analysis was performed on the data with points as the dependent variable. the estimated regression equation for predicting points based on the three predictor variables is given by
A multiple regression analysis was performed to predict a team's points in the National Football League (NFL) based on rushing yards (x1), passing yards (x2), and first downs (x3). The estimated regression equation was obtained as the model for predicting points.
In the multiple regression analysis, the goal is to establish a relationship between the dependent variable (points) and multiple predictor variables (rushing yards, passing yards, and first downs). The estimated regression equation provides a mathematical representation of this relationship. The equation takes the form:
Points = b0 + b1(x1) + b2(x2) + b3(x3)
where b0 is the intercept term, and b1, b2, and b3 are the coefficients associated with the predictor variables x1, x2, and x3, respectively. These coefficients represent the estimated effect of each predictor variable on the points scored by a team.
By utilizing the estimated regression equation, one can input the values of rushing yards, passing yards, and first downs for a particular team and calculate the predicted points for that team based on the model. This analysis allows for making predictions and understanding the relationships between the predictor variables and the dependent variable in the context of NFL games.
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If a polynomial function, f(x), with rational coefficients has roots 3 and startroot 7 endroot, what must also be a root of f(x)?
The conjugate which is 3 - √7 is also a root of f(x).
What is the root of a polynomial function?The root of a polynomial function f(x) is the value of x for which f(x) = 0.
Now if a polynomial function has a root x = a + √b then the conjugate of x which is x' = a - √b is also a root of the function, f(x).
What must also be a root of f(x)?
Given that the polynomial function, f(x), with rational coefficients has roots
3 + √7, then by the above, the conjugate which is 3 - √7 is also a root of f(x).
So, 3 - √7 is also a root of f(x).
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can someone help me
Answer:
6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
So we know that:
5x-10 = 20
5x=20+10
5x=30
x=6
hope this helps :)
A force of 2 pounds is required to hold a spring stretched 0.5 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length
To stretch the spring from its natural length to 0.6 feet beyond its natural length, the work done is 0.2 foot-pounds.
The work done in stretching a spring is given by the formula:
Work = (1/2)k(x2^2 - x1^2),
where k is the spring constant, x2 is the final displacement, and x1 is the initial displacement.
Given that a force of 2 pounds is required to hold the spring stretched 0.5 feet beyond its natural length, we can calculate the spring constant using Hooke's Law:
F = kx,
where F is the force applied, k is the spring constant, and x is the displacement.
2 pounds = k * 0.5 feet,
k = 2 pounds / 0.5 feet = 4 pounds/feet.
Now we can calculate the work done:
Work = (1/2) * (4 pounds/feet) * ((0.6 feet)^2 - (0.5 feet)^2),
Work = (1/2) * (4 pounds/feet) * (0.36 - 0.25),
Work = (1/2) * (4 pounds/feet) * 0.11,
Work = 0.2 foot-pounds.
The work done in stretching the spring from its natural length to 0.6 feet beyond its natural length is 0.2 foot-pounds. This calculation is based on the given force required to hold the spring stretched 0.5 feet beyond its natural length and the spring constant.
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what are the possible values for (randgen.nextint(9) -4)? assume a random number generator object named randgen exists. question 35 options: -4...4 -9...9 0...4 0...9
The correct option would be -4...4.
How to find the range of possible values for the expression (randgen.nextInt(9) - 4)?The expression (randgen.nextInt(9) - 4) uses a random number generator object named randgen to generate a random integer between 0 (inclusive) and 9 (exclusive) using the nextInt() method.
By subtracting 4 from this random integer, we determine the range of possible values for the expression.
Since the original random integer ranges from 0 to 8, subtracting 4 shifts the range to -4 to 4. This means that the possible values for (randgen.nextInt(9) - 4) can be any integer between -4 and 4, inclusive.
In other words, the expression can yield values such as -4, -3, -2, -1, 0, 1, 2, 3, and 4. These values cover a total of nine integers, including both positive and negative numbers.
Therefore, the correct option is -4...4, which represents the range of possible values for the expression (randgen.nextInt(9) - 4).
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find the largest palindrome made from the product of two 3-digit numbers.
The largest palindrome made from the product of two 3-digit numbers is 906609.
To find the largest palindrome made from the product of two 3-digit numbers, we can start by considering all possible products of two 3-digit numbers, ranging from 100 to 999. We can then check if each product is a palindrome.
A palindrome is a number that reads the same forwards and backwards. We can iterate through the products in decreasing order and check if each product is a palindrome. If we find a palindrome, we compare it with the current largest palindrome found and update it if necessary.
Starting from 999 and iterating downwards, we multiply each number by all the 3-digit numbers below it. For example, we multiply 999 by 999, 998, 997, and so on. We continue this process until we find the largest palindrome.
After checking all possible products, we find that the largest palindrome made from the product of two 3-digit numbers is 906609. This palindrome is obtained by multiplying 993 by 913.
Therefore, the largest palindrome made from the product of two 3-digit numbers is 906609.
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PLEASEEE HELP!!!!!!!!
Answer:
I think its b
Step-by-step explanation:
Thanks to the person above me
what is b called in a triangle? PLEASE HURRY!
Answer:
B Is called legs
Step-by-step explanation:
Answer:
what are the answers ?
Step-by-step explanation:
I cant see the other answers I only see leg
The cost per person to rent a car for the weekend is inversely proportional to the number of people who
will share the rent. If 3 people split the cost, they will each pay $36. Determine the cost if 5 people split the
cost.
What is the exponential form of the logarithmic equation?
5=log0.90.59049
Answer:
$$0.8^4=0.4096$$ Explanation: The introduction to logarithms and definition of it is explained in the first link. 0.8 is the base of both logarithm and exponent
Step-by-step explanation:
A. x/4 +1= -3 B. x +4= -12 How can we get equation b from equation a? A. Add/subtract the same quantity to/from both sides B. Add/subtract a quantity to/from only one side C. Multiply/divide both sides by the same non-zero constant D. Multiply/divide both sides by the same variable expression
Equation A is converted to equation B by multiplying or dividing both parts by a non-zero constant. Thus, option C is correct.
What are some integers non-constant?If a function accepts more than one value, it is said to be nonconstant (if there is more than one element in its range).
As an illustration, a polynomial with real numbers as its domain and codomain becomes nonconstant. Just observing that and means the function accepts at least two distinct values allows us to demonstrate this.
Starting with the variable solely on a single side of the equation, we can start resolving equation A for x:
\(x/4 + 1 = -3\sx/4 = -3 - 1\sx/4 = -4\)
We obtain x = -16 by multiplying both of the equation's sides by 4.
Starting with the variable with one of the equation's equations, we can solve equation B for x:
\(x + 4 = -12\)
Therefore, We obtain \(x = -16\) by deducting \(4\) from both of the equation's components.
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the procedure for revising probabilities based upon additional information is referred to as
The procedure for revising probabilities based on additional information is referred to as Bayesian updating
The procedure for revising probabilities based on additional information is referred to as Bayesian updating. Bayesian updating is a fundamental concept in Bayesian statistics, which allows for the incorporation of new evidence or data to update and refine prior beliefs or probabilities.
In Bayesian updating, the process begins with an initial prior probability, which represents the initial belief or knowledge about an event or hypothesis before any evidence is observed. As new evidence or data becomes available, it is used to update the prior probability and generate a posterior probability. The posterior probability represents the revised belief or probability after incorporating the new information.
Bayesian updating follows the principles of Bayes' theorem, which mathematically describes the relationship between prior probabilities, likelihoods, and posterior probabilities. It involves combining the prior probability with the likelihood of observing the data given the hypothesis and then normalizing the result to obtain the posterior probability.
The beauty of Bayesian updating is that it allows for a flexible and iterative process of continuously updating beliefs and probabilities as new information emerges. It provides a framework for incorporating both subjective prior beliefs and objective data to make more informed decisions and predictions. Bayesian updating has applications in various fields, including machine learning, decision-making, and scientific research.
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Plzzz giving brainilest no cap
Answer:
-0.6 yards
Step-by-step explanation:
arrange the given steps in the correct order to prove that a⊆c if a⊆b and b⊆c.
To prove that a⊆c if a⊆b and b⊆c, we need to arrange the steps in the correct order to construct a logical proof.
The correct order is as follows:
Step 1: Start by assuming that a⊆b and b⊆c are true.
Step 2: Take an arbitrary element x and assume that x∈a.
Step 3: Using the assumption a⊆b, conclude that x∈b.
Step 4: Using the assumption b⊆c, conclude that x∈c.
Step 5: Since x was an arbitrary element, we have shown that for any element x, if x∈a, then x∈c.
Step 6: Therefore, by definition, a⊆c.
Let's briefly explain the reasoning behind each step:
Step 1: This is the initial assumption given in the problem statement. We assume that a⊆b and b⊆c are true.
Step 2: To prove that a⊆c, we need to show that every element of a is also an element of c. We start by taking an arbitrary element x and assuming that it belongs to a (x∈a).
Step 3: Using the assumption a⊆b, we know that if x∈a, then x∈b. This follows directly from the definition of subset: every element of a is also an element of b.
Step 4: Similarly, using the assumption b⊆c, we know that if x∈b, then x∈c. Again, this follows directly from the definition of subset: every element of b is also an element of c.
Step 5: Combining the conclusions from Steps 3 and 4, we can infer that if x∈a, then x∈c. Since x was an arbitrary element, this holds true for any element in a. Therefore, we have shown that every element of a is also an element of c.
Step 6: Finally, by definition, if every element of a is also an element of c, we can conclude that a is a subset of c (a⊆c).
By following these steps in the given order, we have logically proven that a⊆c based on the assumptions a⊆b and b⊆c.vTo prove that a⊆c if a⊆b and b⊆c, we need to arrange the steps in the correct order to construct a logical proof. The correct order is as follows:
Step 1: Start by assuming that a⊆b and b⊆c are true.
Step 2: Take an arbitrary element x and assume that x∈a.
Step 3: Using the assumption a⊆b, conclude that x∈b.
Step 4: Using the assumption b⊆c, conclude that x∈c.
Step 5: Since x was an arbitrary element, we have shown that for any element x, if x∈a, then x∈c.
Step 6: Therefore, by definition, a⊆c.
Let's briefly explain the reasoning behind each step:
Step 1: This is the initial assumption given in the problem statement. We assume that a⊆b and b⊆c are true.
Step 2: To prove that a⊆c, we need to show that every element of a is also an element of c. We start by taking an arbitrary element x and assuming that it belongs to a (x∈a).
Step 3: Using the assumption a⊆b, we know that if x∈a, then x∈b. This follows directly from the definition of subset: every element of a is also an element of b.
Step 4: Similarly, using the assumption b⊆c, we know that if x∈b, then x∈c. Again, this follows directly from the definition of subset: every element of b is also an element of c.
Step 5: Combining the conclusions from Steps 3 and 4, we can infer that if x∈a, then x∈c. Since x was an arbitrary element, this holds true for any element in a. Therefore, we have shown that every element of a is also an element of c.
Step 6: Finally, by definition, if every element of a is also an element of c, we can conclude that a is a subset of c (a⊆c).
By following these steps in the given order, we have logically proven that a⊆c based on the assumptions a⊆b and b⊆c.
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Please give me the correct answer and please explain how you got the answer
Answer:
48
Step-by-step explanation:
multiply both sides by 4
12 times 4 is 48
What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10? (1 point) a 3 b 2 c −2 d −3
Answer: C= -2
Step-by-step explanation:
Answer:
C. -2
Step-by-step explanation:
5x + 2(x − 4) = 5x + x − 10
Subtract 5 from both sides,
5x + 2(x - 4) - 5x = 5x + x - 10 - 5x
Simplify,
2(x - 4) = x - 10
Distribute,
2x - 8 = x - 10
Add 8 to both sides,
2x - 8 + 8 = x - 10 + 8
Simplify,
2x = x - 2
Subtract x from both sides,
2x - x = x - 2 - x
Simplify,
x = -2
A bag contains 7 red discs, 5 green discs and 2 pink discs.
Helen takes one disc at random, records the colour and replaces it in the bag. She does this 140 times.
Find how many times she expects to take a green disc.
Work Shown:
5 green discs
7+5+2 = 14 discs total
5/14 is the probability of getting a green disc
(5/14)*140 = 50 green discs are expected if 140 trials are conducted.
The no. of green discs she expects by replacing and drawing again for 140 times is 50.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given A bag contains 7 red discs, 5 green discs, and 2 pink discs.
So, no. of sample space N(S) = 7 + 5 + 2 = 14.
∴ The probability of getting a green disc P(G) = N(G)/N(S).
P(G) = 5/14.
Now she replaces the discs drawn and picks one random disc from the bag again 140 times,
Therefore the probability of getting a green disc will remain the same as an independent event because of the replacement.
∴ The no. of green discs she expects is (5/14)×140 = 50 times.
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What is the solution to the equation below?
4w=2/3
A
6/3
B
8/3
C 2/12
D 4 2/3
THESE ARE FRACTIONS
Answer:
I think it is 2/12
A sample of n = 100 people is classified into four categories. if the results are evaluated with a chi-square test for goodness of fit, what is the df value for the chi-square statistic?
The degree of freedom, df value for the chi-square statistic is 3.
In this question,
The chi-square goodness of fit test evaluates whether proportions of categorical or discrete outcomes in a sample follow a population distribution with hypothesized proportions. As a hypothesis test, the chi-square goodness of fit test allows you to use your sample to draw conclusions about an entire population.
Here,
Sample, n = 100
Number of categories, the sample is divided = 4
df is the degrees of freedom.
If there is a K category in the dataset and we want to apply chi-square goodness of fit test. Then, their degree of freedom df will be of k-1.
Thus, degree of freedom, df = k - 1
⇒ df = 4 - 1
⇒ df = 3
Hence we can conclude that the degree of freedom, df value for the chi-square statistic is 3.
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Suppose you know the slope of a linear relationship and one of the points that it’s graph passes through how can you determine if the relationship is proportional or not?
Answer:
I exactly don't have or know the answer
If the number of tomato growers in the market increases, the supply:
A) of tomatoes increases.
B) of tomatoes decreases.
C) tomatoes remains constant.
D) curve for tomatoes shifts to the left.
If the number of tomato growers in the market increases, it would generally lead to an increase in the supply of tomatoes increases.
The correct answer is A.
This is because an increase in the number of growers means that there are more producers entering the market, resulting in a greater quantity of tomatoes available for sale. As a result, the overall supply of tomatoes would increase.In terms of the supply curve, an increase in the number of growers would cause the supply curve for tomatoes to shift to the right. This signifies that at any given price, there would be a larger quantity of tomatoes supplied in the market. Consequently, consumers would have access to a greater supply of tomatoes, potentially leading to lower prices due to the increased competition among the growers. Thus, supply of tomatoes increases accurately reflects the likely outcome when the number of tomato growers increases.The correct answer is A.
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should a researcher ever use chi-square to examine the relationship between two variables that are interval level and normally distributed?
No, should a researcher ever use chi-square to examine the relationship between two variables that are interval level and normally distributed
No, a researcher not uses a chi-square test to examine the relationship between two variables that are interval level and normally distributed. The chi-square test is used to analyze the association between two categorical variables, not interval-level variables.
For interval-level variables that are normally distributed, a more appropriate statistical test to examine the relationship or association would be a correlation analysis, such as Pearson's correlation coefficient. Pearson's correlation measures the strength and direction of the linear relationship between two continuous variables.
The chi-square test is specifically designed for categorical variables and assesses whether there is a significant association or dependency between them. It compares the observed frequencies in different categories to the frequencies that would be expected if the variables were independent.
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