Only function 2 represent a linear function.
How to find whether a function is linear or non-linear
Herein we find four cases of functions, of which we are asked to determine if each function is linear or not. A function is linear if and only if the change between every pair of two consecutives values of x and y is the same. Now we proceed to check each case:
Function 1
Δx = - 1 - (- 3) = 2; Δy = 6 - 2 = 4
Δx = 1 - (- 1) = 2; Δy = 18 - 6 = 12
Δx = 3 - 1 = 2; Δy = 54 - 18 = 36
The function is not linear.
Function 2
Δx = 5 - 1 = 4; Δy = - 1 - 1 = - 2
Δx = 9 - 5 = 4; Δy = - 3 - (- 1) = - 2
Δx = 13 - 9 = 4; Δy = - 5 - (- 3) = - 2
The function is linear.
Function 3
Δx = 5 - 4 = 1; Δy = - 10 - (- 5) = - 5
Δx = 6 - 5 = 1; Δy = - 13 - (- 10) = - 3
Δx = 7 - 6 = 1; Δy = - 15 - (- 13) = - 2
The function is not linear.
Function 4
Δx = 1 - (- 2) = 3; Δy = 5 - 4 = 1
Δx = 4 - 1 = 3; Δy = 6 - 5 = 1
Δx = 7 - 4 = 3; Δy = 1 - 6 = - 5
The function is not linear.
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The Québec (Canada) Cardiovascular Study recruited men aged 34 to 64 at random from towns in the Québec City metropolitan area. Of these, 1824 met the criteria (no diabetes, free of heart disease, and so on) for a study of the relationship between being overweight and medical risks. The 719 normal-weight men had mean triglyceride level 1.5 millimoles per liter (mmol/l); the 885 overweight men had mean 1.7 mmol/l; and the 220 obese men had mean 1.9 mmol/l. eBook Step 1: Identify the populations and the response variable. O The populations are all the men from Quebec aged 34-64 and the variable is their weight. O The populations are all the men from Quebec aged 34-64 and the variable is their age. O The populations are normal weight men aged 34-64 from Quebec, overweight and obese men from the same age and area. The variable is their triglyceride level. O The populations are normal weight men aged 34-64 from Quebec, overweight and obese men from the same age and area. The variable is their weight.
The correct answer is option C: The populations are normal weight men aged 34-64 from Quebec, overweight and obese men from the same age and area. The variable is their triglyceride level.
The study recruited men aged 34-64 from towns in the Quebec City metropolitan area. Out of these, 1824 men met the criteria for the study, which was to explore the relationship between being overweight and medical risks. The response variable in this study is the triglyceride level, which is a measure of the amount of fat in the blood.
The populations being studied are normal weight men, overweight men, and obese men from the same age and area. The mean triglyceride levels were found to be 1.5 mmol/l for normal-weight men, 1.7 mmol/l for overweight men, and 1.9 mmol/l for obese men. This suggests that higher weight is associated with higher triglyceride levels, which is a risk factor for heart disease.
Overall, this study provides valuable information about the relationship between weight and medical risks, which can be used to inform public health interventions and policies.
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5 12 14 will form a acute?
True or false
No it won't. it's false
cuz proofs here.
(5²)+(12²)= (169)
√(169) = 13
.. so if 13 was the number at 14
it would have been true.
currently the answer is false
Please respond quick!!!
I think that for a its 1.12 and for b its 39424
100 + 12 = 112
112/100 = 1.12
35200 * 1.12 = 39424
Algebra (35 points)
What is the Equation for this parent function? Response area
What is the Domain and Range for this parent function ?
The inverse function (or reciprocal function) is \(f(x) = \dfrac{1}{x}\).
The x-values you can use are everything except for 0, since 1/0 is undefined.
If you look at the graph, you'll also notice that the graph never touches the x-axis, meaning a y-value of 0 is never used. So the range is also all real numbers, except for 0.
So the domain is \(\{ \ x \ | \ x\in\mathscr{R}, \ x\neq0 \ \}\) and
the range is \(\{ \ y \ | \ y\in\mathscr{R}, \ y\neq0 \ \}\).
Three friends decide to go out to eat, and then go shopping. if there are 5 local restaurants and 4 good stores for shopping, how many possibilities are there for their big night out
Using the Fundamental Counting Theorem, there are 20 possibilities for their big night out.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
For this problem, we have that:
There are 5 restaurants, hence \(n_1 = 5\).There are 4 stores, hence \(n_2 = 4\).The number of possibilities is given by:
N = 5 x 4 = 20.
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show all work.
-5X - 16 = 8x - 3 If you can provide an image i would be very grateful
Answer: x = -1
Step-by-step explanation:
Suppose an experiment was performed to assess the effect of some number of treatments on a response variable. Let be the jth value of the response for the $i$-th treatment. Recall the one-way ANOVA model for the response is:
The one-way ANOVA model for the response variable is y ij = μ + τ i + ε ij
The one-way ANOVA model for the response variable in the context of an experiment assessing the effect of multiple treatments is as follows:
y ij = μ + τ i + ε ij
where:
y ij represents the jth value of the response variable for the ith treatment.
μ is the overall mean of the response variable.
τ i is the effect of the ith treatment.
ε ij is the random error term representing the variability in the response variable that is not explained by the treatments.
In this model, the treatment effect (τ_i) represents the differences in the response variable among the different treatments. The error term (ε_ij) accounts for the random variability and any other factors that may influence the response variable but are not included in the model.
The goal of performing the ANOVA is to assess whether there are significant differences in the means of the response variable across the treatments. This is done by analyzing the variation between the treatment means (sums of squares) and comparing it to the variation within each treatment group (residual sums of squares). The F-test is commonly used for this purpose.
By analyzing the model, we can estimate the treatment means, test for the significance of the treatment effects, and make inferences about the differences between the treatment means. The model provides a framework for understanding the relationship between the treatments and the response variable in the context of the experiment.
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The sum of two consecutive numbers is 25. What is the largest of the consecutive numbers? Type a numerical answer in the space provided.
In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.
How can the the largest of the consecutive numbers be calculated?Given that sum of two consecutive numbers is 25 , ans we were required to locatye the largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:
x + (x+1) = 25
Simplifying the left side of the equation:
2x + 1 = 25
2x = 24
Dividing both sides by 2:
x = 12
So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.
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A line has a slope 2/3 and a y- intercept -2 witch answer is the equation of the line
Answer:
y = 2/3x - 2
Step-by-step explanation:
I'm pretty sure this is asking about the slope intercept form, since you didn't give us the actual answers. If not, comment below. Slope intercept form follows the y = mx + b form, where m is the slope and b is the y-intercept. By plugging your givens in, you get y = 2/3x - 2
use the point-slope equation to identify the slope and the coordinates of a point on the line y – 4
By using the point-slope equation the slope of the line is 1/2, and a point on the line is (1, 4).
In the given equation, \(y - 4 = (1/2)(x - 1)\), we can observe that the equation is already in the point-slope form: \(y - y_1 = m(x - x_1)\)
Comparing it with the given equation, we can identify the following:
\(Slope \: (m) = 1/2\)
The coefficient of \((x - 1)\) represents the slope, which is 1/2 in this case.
To find a point on the line, we can identify the values of x and y. In this equation, the value of y₁ is 4, which means the point \((x_1, y_1)\) is (1, 4).
Therefore, the slope of the line is 1/2, and a point on the line is (1, 4).
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Can someone please help me??
Answer:
the missing side of the triangle is 4, solving by the theorem of Pitagoras a^2 + b^2 = c^2
Using Pythagorean theorem
\(\\ \sf\longmapsto P^2=H^2-B^2\)
\(\\ \sf\longmapsto P^2=8^2-(4√3)^2\)
\(\\ \sf\longmapsto P^2=64-48\)
\(\\ \sf\longmapsto P^2=16\)
\(\\ \sf\longmapsto P=√16\)
\(\\ \sf\longmapsto P=4\)
Subject is Trigonometry. Solve for X.
Answer:
16.3°
Step-by-step explanation:
Cos x = adjacent side/hypotenuse
= 24/25
x = arccos (24/25) = 16.3°
You must memorize the definitions of the trig functions and then this type of problem is easy. OK?
Find P(X > 1and Y > 1). Find the marginal probability density functions fX (x) and fY (y). Are X and Y independent
The task is to find the probability of both X being greater than 1 and Y being greater than 1. Additionally, we need to determine the marginal probability density functions fX(x) and fY(y) for the random variables X and Y. Finally, we need to determine whether X and Y are independent.
To find the probability P(X > 1 and Y > 1), we need to consider the joint probability distribution of X and Y. This involves determining the region of the joint probability density function where both X and Y are greater than 1 and calculating the probability within that region.
To find the marginal probability density function fX(x), we integrate the joint probability density function over the range of Y. Similarly, to find fY(y), we integrate the joint probability density function over the range of X.
If X and Y are independent, then the joint probability density function would be equal to the product of the marginal probability density functions, i.e., fX(x) * fY(y). If this condition holds, then X and Y are independent random variables.
By evaluating the joint probability distribution, calculating the marginal probability density functions, and comparing them to the joint probability density function, we can determine whether X and Y are independent.
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What is the product of 3√3cis(π/8) and 3√5cis(2π/3)?
the product of 3√3cis(π/8) and 3√5cis(2π/3) is 9√15cis(7π/24).To multiply two complex numbers in polar form, we multiply their magnitudes and add their angles.
Here, we have:
3√3cis(π/8) = 3√3(cos(π/8) + i sin(π/8)), with magnitude 3√3 and angle π/8
3√5cis(2π/3) = 3√5(cos(2π/3) + i sin(2π/3)), with magnitude 3√5 and angle 2π/3
To find the product, we multiply the magnitudes and add the angles, which gives:
(3√3)(3√5)cis(π/8 + 2π/3) = 9√15cis(7π/24)
Therefore, the product of 3√3cis(π/8) and 3√5cis(2π/3) is 9√15cis(7π/24).
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Container a was filled with water to the brim. then, some of the water was poured into an empty container b until the height of the water in both containers was the same. find the new height in both water containers
After pouring some water from container A into container B, the new height of the water in both containers will be equal.
When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.
When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.
The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.
Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.
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help pls help I will mark brainlist
Answer:
x = 20
y = 5
Step-by-step explanation:
Adjacent angles of a parallelogram are supplementary (add up to 180°).
So,
6x + 17 + 2x + 3 = 180
Combine like terms
6x + 2x + 17 + 3 = 180
8x + 20 = 180
Subtract 20 to both sides
8x = 180 - 20
8x = 160
Divide 8 to both sides
x = 160 / 8
x = 20
Now,
Opposite sides of parallelogram are equal.
So,
JK = ML
6y - 13 = 32 - 3y
Add 3y and 13 to both sides
6y + 3y = 32 + 13
9y = 45
Divide 9 to both sides
y = 45 / 9
y = 5
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Answer:
x = 20, y = 5Step-by-step explanation:
Looks like we need to find the values of x and y.
Given is the parallelogram.
Properties we'll use:
Opposite sides are parallel and congruentAdjacent angles are supplementaryFind the value of y:
JK = ML6y - 13 = 32 - 3y6y + 3y = 32 + 139y = 45y = 5Find the value of x:
∠J and ∠M are supplementary, so their sum is 180°.6x + 17 + 2x + 3 = 1808x + 20 = 1808x = 160x = 20If you need to find the side or angle measures just plug in the values of x or y.
Tonya drives for 5 hours at 55 mph. How far does she go?
If ray EB bisects ∠DEF, m∠DEB = 5x - 5 and m∠EDF = x + 7, what is the m∠DEB and the m∠DEF?
The measure of the bisected angles are-
∠DEB = 10 ∠EBF = 10What is meant by angle bisector?An angle bisector is a ray, segment, or line which divides a provided angle into two equal-sized angles. The term bisector or bisection refers to the process of dividing something into two equal parts. An angle bisector, for example, will divide a 60-degree angle into two 30-degree angles.In other words, it separates an angle into two congruent smaller angles.The given condition is;
Ray EB is the angle bisector of ∠DEF.
Thus,
∠DEB = ∠EBF
∠DEB = 5x - 5 and ∠EBF = x + 7,
Equating both angles;
5x - 5 = x + 7
Solving;
4x = 12
x = 3
Put the value of x in the angles;
∠DEB = 5x - 5
∠DEB = 5×3 - 5
∠DEB = 15 - 5 = 10
and,
∠EBF = x + 7
∠EBF = 3 + 7
∠EBF = 10.
Therefore, the measure of the bisected angles are found as 10° each.
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HELP PLEASE I will give brainlist
Answer:
the second one
Step-by-step explanation:
y = 2/3 (x +6)-5
Answer:
B
Step-by-step explanation:
Which of the following "backs" the value of money in the United States? the acceptability of it as a medium of exchange the willingness of foreign governments to hold U.S. dollars the size of the budget surplus in the U.S. government the gold stored in the Federal Reserve Bank of New York
The statement which, "backs" value-of-money in United-States is (b) acceptability of it as medium-of-exchange.
The value of money in United-States is primarily backed by acceptability of it as a medium-of-exchange. Money functions as a widely accepted means of payment for goods and services, and people have confidence in its ability to be exchanged for goods, services, and other assets.
This acceptability is based on the trust and faith that individuals and businesses have in the currency and the stability of the economic system it represents.
The other options do not directly back the value of money in the United States.
Therefore, the correct option is (b).
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The given question is incomplete, the complete question is
Which of the following "backs" the value of money in the United States?
(a) The gold stored in the Federal Reserve Bank of New York
(b) The acceptability of it as a medium of exchange
(c) The willingness of foreign government to hold U.S. dollars
(d) The size of the budget surplus in the U.S. government.
what is the probability of observing the expected value for the distribution of binomial(100, 0.20)?
The probability of observing the expected value for the distribution of a binomial (100, 0.20) is 0.20 (or 20%).
The probability of observing the expected value for a binomial distribution can be calculated using the following formula:
Probability = (n C r) p^r (1-p)^(n-r)
where n = number of trials,
r = expected value,
p = probability of success
For the given distribution, binomial (100, 0.20), we know that n = 100 and p = 0.20.
The expected value is given by:E(X) = np = 100 * 0.20 = 20
So, to find the probability of observing the expected value of 20, we need to plug in the values of n, r, and p into the formula:
Probability = (n C r) p^r (1-p)^(n-r)=
(100 C 20) (0.20)^20 (0.80)^80≈
0.1875 ≈ 0.20 (rounded to two decimal places)
Therefore, the probability of observing the expected value for the distribution of binomial (100, 0.20) is approximately 0.20 (or 20%).
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Which is the best estimate for the volume of a blender?
Answer:
30% to 70%
Step-by-step explanation:
The recommended working volumetric capacity of blenders is generally 30% to 70% of the total volumetric capacity. The percentage fill up may vary depending on the type of blender. For example, the recommended fill-up volume for the double cone blender is 50% to 60% of the total blender volume.
SOMEONE HELP ON QUESTION #13 pleasseeee
Answer:
You would have to do 51 - 16 to find out the total amount of money Vicky spent on scented soaps. 51 - 16 = $35. You then divide by the number of items. In this case, it is 10 scented soaps. 35/10=3.5. She spent $3.50 on each soap.
Step-by-step explanation:
Hope this helps!
Brainliest please!
find the smallest two-digit prime number such that reversing the digits of the number produces a composite number.
Answer: The smallest two-digit prime number such that reversing the digits of the number produces a composite number is 19
Step-by-step explanation:
11, which is the smallest two-digit prime number, 11 remains the same number when the digits are reversed, and it is a prime number, of course.
The next two-digit prime number is 13. 13 becomes the prime number 31 when the digits are reversed.
17 is the following two-digit prime number. The result of flipping the digits of 17 is 71, a prime number.
19 is the following two-digit prime number. Reversing the digits of 19 results in 91, which is composite because 7*13= 91
Thus, 19 is the answer.
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Candace is trying to figure out how tall her apple tree is. She is 5.5 ft and her shadow is 10 ft, while the apple tree's shadow is 32 ft, at the same time of day. Using that information, approximately how tall is the apple tree?
a. 19.3 ft
b. 14.4 ft
c. 16.5 ft
d. 17.6 ft
The height of the apple tree is 17.6 feet. Therefore, the answer is option d.
How to find the height of the apple tree?Candace is trying to figure out how tall her apple tree is. She is 5.5 ft and her shadow is 10 ft, while the apple tree's shadow is 32 ft, at the same time of day.
Therefore, using proportional relationship, let's find the height of the apple tree.
let
x = height of the apple tree
Hence,
5.5 / 10 = x / 32
cross multiply
32 × 5.5 = 10x
176 = 10x
divide both sides by 10
x = 176 / 10
x = 17.6
Therefore,
height of the apple tree = 17.6 ft
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3.7 (negative 83 x minus 3) = 3.7 (7 x minus 30)
a.
0.7
c.
1.3
b.
–0.3
d.
0.3
Answer:
d
Step-by-step explanationnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
PLS HELPP ASAP!!
Rotate the triangle clockwise about the origin 270 degrees
Answer:
A: (-7, 2)
B: (-4, 2)
C: (-3, 7)
Step-by-step explanation:
So a little tip! 270 degrees clockwise is the same as 90 degrees counter clockwise!! (and vice versa)
90 degrees counter-clockwise would switch all the coordinates from (x,y) to (-y,x)
Marisa has just won a contest. She must decide between two prize options:
Option A: Collect a lump-sum payment of $50 000.
Option B: Receive $800 at the end of every quarter for 10 years from an
investment. The investment earns 8%/annum, compounded
quarterly.
How much more money would she have if she chooses the lump sum?
Marissa will earn $ 1678.41 more if she chooses the Lumpsum amount of money.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.
Given, Marisa has just won a contest. She must decide between two prize options:
Option A: Collect a lump-sum payment of $50 000.
Option B: Receive $800 at the end of every quarter for 10 years from an investment. The investment earns 8%/annum, compounded quarterly.
We must calculate how much the future value has an 800$ quarterly payment for 10 years at 8%.
R = 800
rate = 0.08
Compounded quarterly
i = 0.08/4 = 0.02
t = 10 years
m = 10 *4
From the formula of the present value of Annuity:
FV = R. ((1 + i)^m - 1)/i
FV = 48321.59
Since the lump sum payment is 50,000$
The difference in payments = 50,000 - 48321.59
The difference in payments = 1678.41
Therefore, Marissa will earn $ 1678.41 more if she chooses the Lumpsum amount of money.
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say you randomly select americans until you find one who is married. how many americans would you expect to select in order to find your first married respondent? round to two decimal places.
On average, you would expect to select approximately 1.90
Americans in order to find your first married respondent. This is because according to the U.S. Census Bureau, the national marriage rate in 2018 was 6.9 per 1,000 individuals, which is equivalent to 0.69% of the population being married.
Therefore, if we assume the population of Americans is uniformly distributed, the probability of randomly selecting a married American is 0.69%. Consequently, the expected number of trials necessary to select a married respondent is 1/0.0069 = 1.90.
To calculate this, we used the probability formula for a single trial: P(X) = N/S, where P(X) is the probability of success, N is the number of successes, and S is the number of trials.
Therefore, by substituting the number of successes (1) and the probability of success (0.0069) into the formula, we can determine the expected number of trials necessary to select a married respondent (1/0.0069 = 1.90).
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With out calculation the answer, is 1/3 x 7/15 greater or less than 1/3?
Answer:
it might be greater i think