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It is observed that when x = 4, y = 5 and when x = 5, y = 6
\(\begin{gathered} \text{Equation of the trend line is;} \\ y=mx+c \\ 5=4x+c\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.equation 1} \\ 6=5x+c\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.}\mathrm{}\text{equation 2} \end{gathered}\)\(\begin{gathered} x=1 \\ \text{Put x=1 in equation 1} \\ 5=4(1)+c \\ c=5-4 \\ c=1 \end{gathered}\)Thus, the equation of the trend line is y = x + 1
Related Questions
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/IEnaK9Mnw3ftGn7VoWymvKjzqCukNTp6.png)
Answers
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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I am lost please help thank you all
Answers
Answer:
Step-by-step explanation:
At least 9 means more than 9 and includes 9
x ≥ 9 and [9, +∞)
At most 9 means numbers less than 9
x≤9 and (-∞, 9]
more than 9 means bigger than 9 but not including 9
x > 9 and (9, +∞)
fewer than 9 means less than 9 but not including 9
x<9 and (-∞, 9)
strictly between 7 and 9 means between 7 and 9 but not including
7<x<9 and (7,9) (This is the only one I'm unsure of. Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)
between 7 and 7 inclusive. means it's just =7 There's no boundaries
x=7
no more than 7 means less than 7 and includes 7
x ≤ 7 and (-∞, 7]
Which statements are true about the graph of y < 2x+1? Check all that apply 3 The slope of the line is 1 The line is solid The area below the line is shaded. A solution to the inequality is (2, 3) The x-intercept of the boundary line is (-2, 0) Graph y
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The statements that are true about the graph of y < 2x+1 include the following:
C. The area below the line is shaded.
D. A solution to the inequality is (2, 3).
What is an inequality?In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Based on the information provided, we have the following equation (inequality);
y < 2x + 1
The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).
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The period 7 (in seconds) of a pendulum is given by T = 2pi√( L divided by 32) where L stands for the length (in feet) of the pendulum. If pi = 3.14, and the period is 12.56 seconds, what is the length?
The length of the pendulum is _____ feet.
Answers
Answer:
128 feet
Step-by-step explanation:
\(t = 2\pi \sqrt{\frac{l}{32} } \)
So now we will substitute the values of T and π into the equation.
\(12.56 = 2 \times 3.14 \sqrt{ \frac{l}{32} } \)
\(12.56 = 6.28 \sqrt{ \frac{l}{32} } \)
Divide both sides by 6.28
\(2 = \sqrt{ \frac{l}{32} } \)
Square both sides.
\(4 = \frac{l}{32} \)
Multiply both sides by 32
\(l = 4 \times 32 \\ l = 128 \: feets\)
What are the factors of 42 to find it’s prime numbers and how do I put it in a factor tree
Answers
To create a factor tree for 42, we start by finding a pair of factors of 42, such as 2 and 21 and factor each branch until we have prime numbers.
Answer:
See below
Step-by-step explanation:
Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.
Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.
Question 6 (10 points)
=) Listen
The ratio of outdoor outdoor swimmers to indoor swimmers at the recreation center
is 3:2. If the center has 55 swimmers altogether, how many of them are indoor
swimmers?
22
44
none
33
Answers
Answer:
22
Step-by-step explanation:
The ratio tells us 2/5 of the swimmers are indoor swimmers.
55(2/5)=22
Given that F(x) = cos2(x + 9), find functions f,g and h such that F = fogoh
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Answer:
The functions \(f(x)\), \(g(x)\) and \(h(x)\) such that \(F(x) = f\,\circ\,g\,\circ \,h (x)\) are \(f(x) = x^{2}\), \(g(x) = \cos x\) and \(h(x) = x+9\), respectively.
Step-by-step explanation:
Let \(F(x) = \cos ^{2}(x+9)\), if \(F(x) = f\,\circ\,g\,\circ \,h (x)\), then we derive \(f(x)\), \(g(x)\) and \(h(x)\) by using the following approach:
1) \(F(x) = \cos ^{2} (x+9)\) Given
2) \(f\,\circ\,g(x) = \cos^{2} x\) Definition of function composition/\(h(x) = x+9\)
3) \(f(x) = x^{2}\) Definition of function composition/\(g(x) = \cos x\)
4) \(f(x) = x^{2}\), \(g(x) = \cos x\), \(h(x) = x+9\) From 2) and 3)/Result
The functions \(f(x)\), \(g(x)\) and \(h(x)\) such that \(F(x) = f\,\circ\,g\,\circ \,h (x)\) are \(f(x) = x^{2}\), \(g(x) = \cos x\) and \(h(x) = x+9\), respectively.
Write
801
1000
as a decimal number.
Answers
Answer:
0.801
Step-by-step explanation:
Answer:
0.801
Step-by-step explanation:
801/1000 = 0.801
The surface area of a cell phone screen is 11700 mm2. Use the fact that 10 mm = 1 cm to convert this area to cm2. Round your answer to the nearest whole number.
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The surface area of a cell phone screen is 117 cm².
What is unit conversion?
Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.
We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:
11700 mm² / (100 mm² / cm²) = 117 cm²
Rounding to the nearest whole number, we get 117 cm².
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in an experiment to learn whether substance m can help restore memory, the brains of 20 rats were treated to damage their memories. first, the rats were trained to run a maze. after a day, 10 rats (determined at random) were given substance m and 7 of them succeeded in the maze. only 2 of the 10 control rats were successful. the two-sample z test for the difference in the true proportions. Gives z= 2.25, P< 0.02
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The z-value obtained from the test was 2.25, and the p-value was less than 0.02.
What is probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.
This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).
In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.
Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.
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A survey of 450 randomly chosen US adults found that 35% of the 200 men and 40% of the 250 women attended a college football game during the past month. Do these data provide statistical evidence at the α = 0.01 level that men are more likely than women to attend football games? Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (10 points)
Answers
Answer:100,000
Step-by-step explanation:
a sample of days over the past six months showed that that philip sherman, dds, treated the following numbers of patients: , , , , , , , , and . if the
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The conclusion is that the sample data does not support the claim that the variance in the number of patients seen per day is equal to 10.
To answer this question, we need to perform a hypothesis test to determine whether the sample data supports the claim that the variance in the number of patients seen per day is equal to 10.
The null hypothesis is that the variance is equal to 10:
H0: \(\sigma^2 = 10\)
The alternative hypothesis is that the variance is not equal to 10:
Ha: \(\sigma^2 \neq 10\)
The level of significance is set at 0.10. To calculate the test statistic, we first need to find the sample variance. Using the formula for the sample variance, we get:
\(s^2 = (\sum(x_i - mean)^2)/(n-1) = (104.22)/8 = 13.03\)
The test statistic is calculated as follows:
\(t = (s^2 - 10)/(10/\sqrt{9}) = (13.03 - 10)/(1) = 3.03\)
We can now use Table 3 from Appendix B to determine whether the test statistic is significant at the 0.10 level of significance. Looking at the critical values for a two-tailed test with 8 degrees of freedom and a significance level of 0.10, we find that the critical value is ±2.306. Since our test statistic of 3.03 is greater than 2.306, we reject the null hypothesis.
The conclusion is that the sample data does not support the claim that the variance in the number of patients seen per day is equal to 10.
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In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
Answers
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Hurricane Maria killed 3,057 people. Round this to the nearest ten, and thousand.
Answers
Answer:
rounded to nearest ten - 3,060
rounded to nearest thousand - 3,000
These should be the answers. Hope this helps!
HELP ITS DUE TMR PLEASE
Answers
Answer:
im pretty sure the answer is (-5,-7)?
Convert (8+16)-7/4 to word statements
Answers
24 feet =
yds
Neeeeeeeeeeeeeed help
Answers
8 yards is your answer
every 3 feet is one yard so just add it up
absolute value evaluate problem
|-4| =?
SHOW WORK:
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The expression |-4| has a value of 4 when evaluated
How to evaluate the absolute expressionFrom the question, we have the following parameters that can be used in our computation:
|-4|
The above expression is an absolute expression
So, the solution is the positive value of the expression in bracket
Evaluate the expressions in the brackets
So, we have the following representation
|-4| = 4
Hence, the expression has a value of 4
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Combine Like Terms. Need help really please
Answer:
-3y² + 2x +2+3x
Answers
Answer: \(-3y^{2} +5x+2\)
Step-by-step explanation:
\(-3y^{2} +2x+2+3x\\2x+3x=5x\\\)
that is all that you can combine so it makes the answer \(-3y^{2} +5x+2\)
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Does changing the compound inequality x>-3 and x<3 from and" to or change the soluion set? Explain
Answers
Answer:
Yes
Step-by-step explanation:
If you look at it. X is basically -2, -1, 0, 1, or 2.
Hope I helped and Pls Mark Brainliest
PLS HELP! weights (in pounds) of catfish caught in the river: 4.8 3 2.7 4.4 4.8 9.9 What is the outlier? A) 3 lbs B) 4.8 lbs C) 9.9 lbs D) none
Answers
The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.
What is an outlier?An outlier is an observation that is much higher or lower than the other observations in a dataset.
In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.
Therefore, 9.9 lbs is the outlier in this dataset.
To find the outlier in this dataset, we can calculate the interquartile range (IQR).
This is done by first calculating the first quartile (Q1) and third quartile (Q3).
The Q1 for this dataset =3.75
and the Q3= 4.675.
IQR= Q3 - Q1
= 0.925.
We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.
The upper boundary is Q3 + (1.5 x IQR)= 6.4865.
Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.
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Help me please . And have a good day :D
Answers
Correct option is A, 0 to 0.25
and E, 15 to 20.
Given:
a data of f(x) and g(x) corresponding to the values of x is given.
Find:
we have to find the interval in ehich g(x) grows faster than f(x).
Explanation:
from the given data, it is clear that g(x) growing faster than f(
3) ____ is the expression,
which tells the nature of the roots of a quadratic equation of the form
3) ____ is the expression,
which tells the nature of the roots of a quadratic equation of the form
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Solve for x and y.this is trig btw
Answers
The value of x and y are 8\(\sqrt{2}\), we can solve this question by Pythagoras' Theorem.
What is Pythagoras' Theorem?Pythagoras' Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it can be written as: \($a^2 + b^2 = c^2$\)
where 'a' and 'b' are the lengths of the legs (the sides adjacent to the right angle) and 'c' is the length of the hypotenuse. This theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery and proof. It has a wide range of applications in geometry, trigonometry, and other areas of mathematics and science.
By using Pythagoras' theorem, we get
\(sin 45=\frac{x}{16}\)
\(\frac{1}{\sqrt{2} }\) =\(\frac{x}{16}\)
\(x=8\sqrt{2}\)
\(cos 45=\frac{x}{16}\)
\(\frac{1}{\sqrt{2} }\)=\(\frac{y}{16}\)
\(y=8\sqrt{2}\)
So, the values of x and y are 8\(\sqrt{2}\)
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you want wall-to-wall carpeting in your room, which measures 24' x 1' . Carpeting is on sale for 9.97 per square yard. estimate the cost. round answer where possible.
Answers
Answer:
Step-by-step explanation:
First, we need to convert the dimensions of the room from feet to yards, since the price is given per square yard.
24 feet = 8 yards (since 1 yard = 3 feet)
So the dimensions of the room are 8 yards x 1 yard.
The area of the room is 8 x 1 = 8 square yards.
The cost of the carpeting per square yard is $9.97.
So, the estimated cost of the carpeting would be:
8 x $9.97 = $79.76
Rounding this to the nearest cent gives an estimated cost of $79.76.
please help me please i really need help please
Answers
Answer:
Option A. The tadpole can only live in water.
Step-by-step explanation:
In the initial stage of frog that is its tadpole stage it can only live in water, and has gills that's why they an only breathe in water having oxygen.
Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length of Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15.
Given △QRS ~ △XYZ, what is the value of tan(Q)?
Three-fifths
Three-fourths
Four-fifths
Answers
Answer:three-fourths
Step-by-step explanation:
because my dad said it was right
Help with Algebra 2, forgot how to do it
Answers
Answer:
\(f(x) = 3 \: \: \: \: for \: \: \: \: - 6 < x < 1 \\ f(x) = - x \: \: \: \: for \: \: \: \: 1 < x < 6\)
You deposit $2700 in an account that pays 3% annual interest compounded weekly. How much money is in the account after 5 years?
Answers
Answer:
A = $3136.86
Step-by-step explanation:
Given the following data;
Principal = $2700
Interest rate = 3% = 3/100 = 0.03
Number of times = 52
Time = 5 years
To find the future value, we would use the compound interest formula;
\( A = P(1 + \frac{r}{n})^{nt}\)
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
\( A = 2700(1 + \frac{0.03}{52})^{52*5}\)
\( A = 2700(1 + 0.0005769)^{260}\)
\( A = 2700(1.0005769)^{260}\)
\( A = 2700(1.1618)\)
A = $3136.86
Complete the table to show the steps for combining like terms
Answers
Answer:
check the illustration I provided
Step-by-step explanation:
