for 1983 through 1989, the per capita consumption of chicken in the u.s. increased at a rate that was approximately linear. in 1983, the per capita consumption was 33.3 pounds, and in 1989 it was 48 pounds. write a linear model for per capita consumption of chicken in the u.s. let t
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In 1995, we would anticipate a per capita consumption of 54.3 pounds of chicken.
What is per capita consumption?Per capita consumption is the yearly use of services and goods by each individual, calculated by dividing the total population's use of goods and services. This variable measures personal economic well-being directly.So,
According to the data, per capita consumption was 39.7 pounds in 1983 and 47 pounds in 1989.Per capita consumption is the yearly use of services and goods by each individual, calculated by dividing the total population's use of goods and services. This variable measures personal economic well-being directly.Assume t=0 corresponds to the year 1980.As a result, we can express the given data as ordered pairs (3,39.7) and (9,47).We can compute a linear function that passes through these points.Let us first calculate the slope of the linear function:
\(m=\frac{y_2-y_1}{t_2-t_1}=\frac{47-39.7}{9-3}=\frac{7.3}{6}=\frac{73}{60}\)The required linear function can be written as:
\(y-39.7=\frac{73}{60}(t-3)\)When we simplify this, we get:
\(y=\frac{73}{60} t+\frac{721}{20}\)To calculate per capita consumption in 1995, enter t=15 into this function.
\(y=\frac{73}{60}(15)+\frac{721}{20}=54.3\)Therefore, in 1995, we would anticipate a per capita consumption of 54.3 pounds of chicken.
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The correct question is given below:
For 1983 through 1989, the per capita consumption of chicken in the u.S. Increased at a rate that was approximately linear. In 1983, the per capita consumption was 39.7 pounds, and in 1989 it was 47 pounds. Write a linear model for per capita consumption of chicken in the u.S. Let t represent time in years, where t = 3 represents 1983. Let y represent chicken consumption in pounds. What would you expect the per capita consumption of chicken to be in 1995? What would you expect the per capita consumption of chicken to be in 1995?
Related Questions
write a 6th grade inequality or equation witj variable that equals 61
Answers
Answer: 61 - X = 61, 23+18+x=61
Write a equation that is equivalent that only uses addition
- 3x-8y-4-2
Answers
Answer:
Step-by-step explanation:
-3x - 8y - 2
Please help me with this.
Answers
Carlitos purchased $13.90 of roasted almonds to make his own almond milk.He purchased 5 pounds of almonds.Assuming the cost per pound is the same,what was the cost per pound of the almonds?
Answers
Explanation: 13.90/5=2.78
evaluate 1/3 - 5/6
I NEED THIS ASAP!!!
Answers
Answer:
-1/2
Step-by-step explanation:
2/6 - 5/6= -3/6
= -1/2
Answer:
I got -1/2
Step-by-step explanation:
What is the slope of the line that passes through the points (-7, -10)(−7,−10) and (-19, -10)(−19,−10)? Write your answer in simplest form
Answers
Answer: The slope of the line that passes through the points (-7, -10) and (-19, -10) is 0.
Step-by-step explanation:
The slope of a line is found by using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
If we plug in the points (-7, -10) and (-19, -10) we get:
m = (-10 - (-10)) / (-19 - (-7)) = 0 / -12 = 0
So the slope of the line that passes through the points (-7, -10) and (-19, -10) is 0.
From his home, Hassan would have to walk 1.8 miles north to get to his friend Jake's house and 4.5 miles east to get to his friend Ben's house. One day, Hassan walked from his home to Ben's house. Together, Ben and Hassan cut directly through the field that separated them from Jake's house. When they finished playing at Jake's, Hassan walked back home. In all, how far did Hassan walk? If necessary, round to the nearest tenth.
Answers
Answer:
11.1 miles
Step-by-step explanation:
You want the round trip distance Hassan walked, if he walked 4.5 miles east to Ben's house, he and Ben walked directly to Jake's house 1.8 miles north of Hassan's, then Hassan walked home from Jake's house.
PerimeterThe distance Hassan walked is the perimeter of the right triangle with legs 4.5 miles and 1.8 miles. The length of the hypotenuse is given by the Pythagorean theorem as ...
hypotenuse = √(4.5² +1.8²) = √23.49 ≈ 4.8 . . . miles
Then the total distance is ...
4.5 + 4.8 +1.8 = 11.1 . . . . miles
Hassan walked 11.1 miles in all.
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For the following exercises, sketch the curves below by eliminating the parameter t. Give the orientation of the curve. 1. x=t2+2t,y=t+1 2. x=cos(t),y=sin(t),(0,2π] 3. x=2t+4,y=t−1 4. x=3−t,y=2t−3,1.5≤t≤3 For the following exercises, eliminate the parameter and sketch the graphs. 5. x=2t2,y=t4+1
Answers
y =\((x/2)^2 + 1 or y = (x/2)^2 + 1\)
The curve represents a parabola opening upwards. It is symmetric about the y-axis.
Let's eliminate the parameter t and sketch the curves for each exercise:
1. x = t^2 + 2t, y = t + 1
To eliminate the parameter t, we can solve the first equation for t and substitute it into the second equation:
t^2 + 2t = x
t = -1 ± √(x + 1)
Substituting the expression for t into the equation y = t + 1, we get:
y = (-1 ± √(x + 1)) + 1
y = -√(x + 1) or y = √(x + 1)
The curve represents two branches of a parabola opening upwards. It is symmetric about the y-axis.
2. x = cos(t), y = sin(t), (0, 2π]
Eliminating the parameter t, we obtain:
\(x^2 + y^2 = cos^2(t) + sin^2(t) \\= 1\)
The curve represents a circle centered at the origin with a radius of 1. It covers a full revolution (360 degrees or 2π) in the counterclockwise direction.
3. x = 2t + 4, y = t - 1
By eliminating the parameter t, we have:
t = (x - 4) / 2
Substituting this expression into the equation for y, we get:
y = ((x - 4) / 2) - 1
y = (x - 6) / 2
The curve represents a line with a slope of 1/2 and a y-intercept of -3. It is inclined upwards from left to right.
4. x = 3 - t, y = 2t - 3, 1.5 ≤ t ≤ 3
Eliminating the parameter t, we have:
t = 3 - x
Substituting this expression into the equation for y, we get:
y = 2(3 - x) - 3
y = 6 - 2x - 3
y = -2x + 3
The curve represents a line with a slope of -2 and a y-intercept of 3. It is inclined downwards from left to right.
\(5. x = 2t^2, y = t^4 + 1\)
To eliminate the parameter t, we can solve the first equation for t and substitute it into the second equation:
t^2 = x/2
t = ±√(x/2)
Substituting the expressions for t into the equation y = t^4 + 1, we get:
y = (√(\(x/2))^4\) + 1 or y = (-√\((x/2))^4\) + 1
\(y = (x/2)^2 + 1 or y = (x/2)^2 + 1\)
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brainliest, 100 points, and its multiple choice!!!!
Answers
Answer:
Answer is C
(-2,3)
Step-by-step explanation:
Answer:
(-8, 18)
Step-by-step explanation:
To solve this system of equations using elimination, we want to eliminate one of the variables by adding or subtracting the two equations.
One way to do this is to multiply the second equation by a constant that will make the coefficient of x the same as in the first equation. In this case, we can multiply the second equation by -5, which will give us:
-15x - 10y = -60
Now we can add this equation to the first equation:
5x + 2y = -4
-15x - 10y = -60
-10x - 8y = -64
Dividing both sides by -2, we get:
5x + 4y = 32
Now we have one equation with only x and y, so we can solve for either variable.
Let's solve for y by subtracting 5x from both sides:
5x + 4y = 32
-5x = -5x
4y = 32 - 5x
Dividing both sides by 4, we get:
y = (32 - 5x) / 4
Now we can substitute this expression for y into one of the original equations to solve for x. Let's use the first equation:
5x + 2y = -4
5x + 2[(32 - 5x) / 4] = -4
Multiplying both sides by 4, we get:
20x + 2(32 - 5x) = -16
Simplifying, we get:
20x + 64 - 10x = -16
10x = -80
x = -8
Now we can substitute this value of x into either of the equations to solve for y. Let's use the first equation again:
5x + 2y = -4
5(-8) + 2y = -4
-40 + 2y = -4
2y = 36
y = 18
Therefore, the solution to the system of equations is (x, y) = (-8, 18).
Can someone answer this quickly please
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Answer:
I believe the answer is "D" because if last years stocks were twice the amount they are worth today, then the present value should be the investment divided by 2
Step-by-step explanation:
Why does a method to swap two array elements work correctly when a method to swap two integer values does not?
Answers
A method to swap two array elements works correctly because it is designed to swap the entire elements at two different indexes in an array.
The method receives two integer values representing the indexes of the elements to be swapped and then proceeds to swap the elements themselves.
On the other hand, a method to swap two integer values does not work correctly because integers are passed by value, which means that the method receives a copy of the integer values rather than the original values themselves. Thus, the method only swaps the copies and not the original values, and as a result, the original values remain unchanged.
To overcome this issue, one can use a workaround such as passing the integer values as references instead of values. This way, the method receives a reference to the original value, and any changes made to the reference will affect the original value as well. However, this approach can be more complex and less efficient than simply swapping array elements.
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The cost of metal is proportional to the weight of the metal. Martin buys 12 pounds of metal for $33.00. Create an
equation that can be used to determine the cost, in dollars, c, for m pounds of metal.
Enter your equation in the space provided
Answers
Answer:
$2.75
Step-by-step explanation:
Because I know ;-;
Suppose you bought a sofa for a tota purchase price of $1,254.07. State taxes were 7%. What was the amount or the sales tax?
Answers
The amount of sales tax is $87.79.
Given a total purchase price of a sofa as $1,254.07 and state taxes of 7%.
We are required to calculate the amount of sales tax.
The amount of sales tax can be calculated by multiplying the purchase price by the sales tax rate.
Let's represent the sales tax rate by `r`.
Therefore, the sales tax formula is expressed as:
Sales tax = r * purchase price
In this case, the rate of the sales tax `r` is 7%.
Therefore, we have:r = 7% = 0.07
Now we substitute the values given into the formula:
Sales tax = 0.07 * $1,254.07= $87.79
Therefore, the amount of sales tax is $87.79.
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Work out the fourier erie of f, given over one period a x on -pi to pi. At which value of x, if any, doe the erie fail to converge to f(x)To what value doe it converge at thoe value
Answers
The Fourier series of one period a(x) on \(-\pi\) to \(\pi\) is 23.096.
What is Fourier series ?
A fourier series is an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines. Fourier Series makes use of the orthogonality relationships of the sine and cosine functions. Expand the function f(x) = ex in the interval [ – π , π ] using Fourier series formula.
Have given,
a(x) on domain (\(-\pi ,\pi\))
Let ,
I = ∫\(\pi\) \(e^{x}\) dx
on integration
I = \([e^{x}]^{\pi }_{-\pi }\)
I = \(e^{\pi } - e^{-\pi }\)
I = 23.14 - 0.043
Thus, I = 23.096
The Fourier series of one period a(x) on \(-\pi\) to \(\pi\) is 23.096.
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selected reference a8 that describes an or study done for the rijkswaterstaat of the netherlands. describe an important lesson that was gained from model validation in this study.
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In a study conducted for Rijiswaterstaat of the Netherlands (reference A8), an important lesson was learned from model validation.
In the referenced study conducted for Rijkswaterstaat of the Netherlands, model validation likely played a crucial role in assessing the accuracy and reliability of the implemented models. Model validation involves comparing the model's predictions or outputs with real-world data or observations to determine its effectiveness.
An important lesson that could have been gained from model validation in this study is the significance of ensuring that the model adequately represents the real system or phenomenon being studied. The validation process may have revealed any discrepancies or limitations in the model's performance, highlighting areas where improvements or adjustments were needed.
This lesson underscores the importance of rigorous validation procedures to enhance the model's accuracy and provide more reliable results. It also emphasizes the need for continuous evaluation and refinement of models to ensure they align with real-world conditions, enabling better decision-making and planning in the context of Rijkswaterstaat's activities.
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pls help, it is due now. Thank You so much to whoever helps!
Answers
Answer:
(7, -1)
Step-by-step explanation:
3x + 7y = 14
y = x - 8
3x + 7(x - 8) = 14
3x + 7x - 56 = 14
10x - 56 = 14
Add 56 to both sides.
10x = 70
Divide both sides by 10.
x = 7
3(7) + 7y = 14
21 + 7y = 14
Subtract 21 from both sides.
7y = -7
Divide both sides by 7.
y = -1
(7, -1)
Find the probability of exactly threesuccesses in six trials of a binomialexperiment in which the probability ofsuccess is 50%.Round to the nearest tenth of apercent.[ ? ]%
Answers
We need to find the probability of exactly three successes in six trials of a binomial experiment. Probability of success 50% (no success is 50%).
To find this probability, we need to use the following formula for Bernoulli Trials (or Binomial Experiment):
\(comb\text{(6, 3) }\cdot(\frac{1}{2})^3\cdot(\frac{1}{2})^{(6-3)}\)The combinations are given by:
\(\frac{6!}{(6-3)!\cdot3!}=\frac{6\cdot4\cdot3!}{3!\cdot3!}=\frac{6\cdot4}{3\cdot2\cdot1}=\frac{24}{6}=4\)Then, we have:
\(4\cdot(\frac{1}{2})^3\cdot(\frac{1}{2})^3=0.0625\)Thus, the probability of exactly three successes in six trials of a binomial experiment (which the probability of success is 50%) is 0.0625.
Rounding to the nearest tenth is about p = 0.1 (1/10) or 10%.
how many gallons of gas would it take to drive to the moon and back
Answers
Answer:
239 miles per gallon for a round trip.
Step-by-step explanation:
you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,
80 divided by 192.0!!!!!!!!!!!!!!!
Answers
Answer: .416666667
Step-by-step explanation: Take 80 and divide it by 192.0= .416666667
Someone help and PLZ make sure it’s RIGHT
Answers
Answer:
11.6 mi
Step-by-step explanation:
9.3^2+6.9^2 = 134.1
sqrt134.1 = approx 11.6
Answer:
c= 11.6 mi
Step-by-step explanation:
c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi
are natural numbers closed under subtraction
Answers
The natural numbers are "closed" under addition and multiplication. ... The subtraction of two natural numbers does NOT necessarily create another natural number (3 - 10 = -7). The division of two natural numbers does NOT necessarily create another natural number (1 ÷ 2 = ½). not closed under subtraction and division.
1 1/6 + (x/3 · 1/4) = 1 3/4
solve for x
Answers
Answer:
x = 7Step-by-step explanation:
1 1/6 + (x/3 · 1/4) = 1 3/4
solve for x
1 1/6 + x/12 = 1 3/4
1 1/6 - 1 3/4 = -x/12
-7/12 = -x/12
-7 = -x
x = 7
----------------
check
1 1/6 + (7/12 * 1/4) = 1 3/4
1 1/6 + 7/48 = 1 3/4
1 15/16 = 1 3/4
1 3/4 = 1 3/4
the answer is good
What is the product of −2 1/4 and −4 1/2?
Enter your answer as a mixed number, in simplified form, in the box.
Answers
Answer:
10 1/8
Step-by-step explanation:
-2 1/4 * -4 1/2
~Turn into improper fractions
-9/4 * -9/2
~Multiply both numerators and denominators
81/8
~Turn into a mixed number
10 1/8
Best of Luck!
Answer:
10 1/8
Step-by-step explanation:
SOMEONE HELP!! LOOK AT THE IMAGE
Answers
Pls I need help plsssss
Answers
Answer:
The first option!
Step-by-step explanation:
2 2/3 but brainliest? Thanks!
At the candy store, Sophie filled a bag with 2\dfrac232 3 2 2, start fraction, 2, divided by, 3, end fraction kilograms of candy. \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction of the weight of the candy was from chocolate covered pretzels.
Answers
Answer:
\(Chocolate\ Weight = \frac{2}{3}kg\)
Step-by-step explanation:
Given
\(Candies =2\frac{2}{3}\ kg\)
\(Chocolate = \frac{1}{4}\) of the candies
Required
Determine the weight of the chocolate pretzels ---- This completes your question
To determine the weight, we simply multiply the fraction of chocolates by the total weight of the candies.
i.e.
\(Chocolate\ Weight = \frac{1}{4} * 2\frac{2}{3}\)
Convert Fraction
\(Chocolate\ Weight = \frac{1}{4} * \frac{8}{3}\)
\(Chocolate\ Weight = \frac{1 * 8}{4 * 3}\)
\(Chocolate\ Weight = \frac{8}{12}\)
Simplify
\(Chocolate\ Weight = \frac{2}{3}kg\)
Find the slope using points ( 4 , 0 ) and ( 12, 2)
Will give brainliest to best answer
Answers
You are required to: a.Rewrite the formulation above in the standard form by adding the required variables to replace the inequalities. b.Find a solution for the above formulation utilizing the linear programming simplex method.
Answers
Using the simplex method, the optimal solution for the given linear programming problem is x = 2, y = 2, z = 0, with the maximum objective value of P = 10.
a. To rewrite the formulation in standard form, we need to replace the inequalities with equality constraints and introduce non-negative variables. Let's assume x, y, and z as the non-negative variables:
Maximize P = 3x + 2y + 4z
Subject to:2x + y + z + s1 = 8
x + 2y + 3z + s2 = 10
x, y, z ≥ 0
b. Utilizing the linear programming simplex method, we can solve the above formulation. After setting up the initial tableau, we perform iterations by selecting a pivot element and applying the simplex algorithm until an optimal solution is reached. The algorithm involves row operations to pivot the tableau until all coefficients in the objective row are non-negative. This ensures the optimality condition is satisfied, and the maximum value of P is obtained.
To provide a brief solution within 120 words, we determine the optimal solution by applying the simplex method to the above formulation. After performing the necessary iterations, we find that the maximum value of P occurs when x = 2, y = 2, z = 0, with P = 10. Therefore, the maximum value of P is 10, and the solution for the given problem is x = 2, y = 2, and z = 0.
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(2j+2)(j-1)
multiply two binomials
Answers
Final Answer:
2j^2 - 2
Step-by-step explanation:
1. Apply the FOIL method to the equation:
(a + b) (c + d) => (2j + 2) (j - 1)
2. Distribute by using the formula: (ac +ad + bc + bd)
2j x j = 2j^2, 2j x -1 = -2j, j x 2 = 2j, 2 x -1 = -2.
3. Combine like terms: 2j^2 + 2j + -2j = 2j^2
4. SOLUTION: 2j^2 + 2
One hundred students from a large university were asked about their opinion on the new health care program. The 100 represents statistical inference data and statistics a sample a population
Answers
The 100 students from a large university represent a sample.
In statistics, a sample is a subset of individuals or observations taken from a larger group known as the population. The purpose of taking a sample is to make inferences and draw conclusions about the population based on the characteristics observed in the sample.
In this scenario, the 100 students from a large university who were asked about their opinion on the new health care program represent a sample. The sample is a smaller group of individuals selected from the larger population of all students at the university. The intention is to gather insights and information about the opinions of the broader population based on the responses obtained from the sample. Statistical inference techniques can be applied to analyze the data collected from the sample and make conclusions or predictions about the entire population.
It is important to note that the sample should be representative of the population to ensure that the conclusions drawn from the sample can be generalized to the larger population accurately. The process of selecting a sample and conducting statistical analyses is an essential part of studying and understanding populations using data and statistics.
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