By evaluating the function in x = 1 we get:
C(1) = 95.16
This means that the per capita consumption of all poultry in 2015 was 95.16 pounds.
How to find C(1)?Here we have the linear function:
C(x) = 2.97*x+ 92.19
We know that it models the consumption of all poultry in a country as a function of x, the number of years since 2014.
Then C(1) will be the consumption of all poultry in that country one year after 2014 (this would be on 2015).
To evaluate we just need to replace the variable x in the equation by 1, we will get:
C(1) = 2.97*1+ 92.19 = 95.16
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What is the slope-intercept equation of the line that includes (0, 12) and (4, 36)? A. y = –12x + 6 B. y = 6x + 12 C. y = 6x – 12 D. y = 12x – 6
Answer:
B. [tex]y=6x+12[/tex]
Step-by-step explanation:
The slope of the line is [tex]\frac{36-12}{4-0}=6[/tex].
The [tex]y[/tex] intercept is 12, so the equation is [tex]y=6x+12[/tex].
8. Aleks is writing a report about recycling in the local town. In 2021: There were 2341 people living in the town Each person in the town recycled an average of 264.6kg of waste. Aleks knows that 1tonne = 1000kg. How many tonnes of waste were recycled in town in total in 2022?
The tons of waste recycled in 2021 was 619.4286 tons.
According to the question,
We have the following information:
In 2021: There were 2341 people living in the town. Each person in the town recycled an average of 264.6kg of waste. Aleks knows that 1 ton = 1000kg.
Now, the total waste recycled in 2021 can be found using multiplication:
Number of people*waste recycled by each person
2341*264.6
619428.6 kg
Now, we will convert this from kilogram to tons.
1 ton = 1000 kg
1 kg = 1/1000 ton
So, we will divide the waste in kilogram by 1000:
Total waste recycled = 619428.6/1000
Total waste recycled = 619.4286 tons
Hence, the tons of waste recycled in 2021 was 619.4286 tons.
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c) (f + a)(ƒ +9) (f - 4) = f³ +7f²-26f - 72
Without fully expanding the brackets. Find a
Answer:
a = 2
Step-by-step explanation:
the constant terms inside the factors will multiply to give the constant term of the expansion, that is
a × 9 × - 4 = - 72
- 36a = - 72 ( divide both sides by - 36 )
a = 2
!*EMERGENCY, WILL GIVE BRAINLIEST QUICK*!
This table represents the cups of coffee, c, a coffee shop has left after being open for h hours. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? Drag and drop the slope and y-intercept into the corresponding boxes.
Slope -48, 9 ,48 ?
y-intercept 432, C, 6, 9?
(LEFT SIDE IS HOURS, RIGHT SIDE CUPS)
TABLE-------
HOURS, H / CUPS, C
0 / 432
3 / 288
6 / 144
9 / 0
Answer:
Slope is -48, y-intercept is 432
[tex]y = - 48x + 432[/tex]
Step-by-step explanation:
[tex]m = \frac{432 - 288}{0 - 3} = \frac{144}{ - 3} = - 48[/tex]
[tex]432 = - 48(0) + b[/tex]
[tex]432 = 0 + b[/tex]
[tex]b = 432[/tex]
[tex]y = - 48x + 432[/tex]
Jason is training to run in a marathon. His goal for this week is to run a minimum of 35 miles. So far this week, he has already run 15 miles. Which inequality could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal?.
As per the concept of inequality, the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal is 15 + 4m ≥ 35
Inequality
Inequality shows a non equal relationship between two numbers or two expressions.
Given,
Jason is training to run in a marathon. His goal for this week is to run a minimum of 35 miles. So far this week, he has already run 15 miles.
Here we need to determine the inequality could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal.
Here we know that, his goal for this week is to run a minimum of 35 miles.
For this week, he has already run 15 miles.
In the given inequality that could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal.
=> 15 + 4m ≥ 35
Here we know that, 4m = number of m miles run in 4 days.
Therefore, inequality that could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal is written as,
=> 15 + 4m ≥ 35
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please please help meeee
Answer:
|MF| = √109
|MK| = √ 229
Step-by-step explanation:
| MF| = √(-1×-3)² + (5×2)²
= √(3)² + (10)²
=√9 + 100
= √109
|MK| = √(-1×2)² + (5×3)²
= √(-2)² + (15)²
= √4 + 225
= √229
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The analysis of the tables based on the first difference values indicates
1 a. The function is a linear function
b The reason the function is linear is because the rate of change in the x and y-values are constant, such that the rate of change of the function is also constant
2. a. The function is not linear
b. This is so because the changes in the consecutive terms of the x-values is not constant while the change in the y-values is constant making the overall rate of change of the function (the slope of the function) to vary
3. a. The table is not a linear function
b. The reason why the table does not represent a linear function is because the change in the terms of the y-values is not constant
4. a. The table is a linear function
b. The reason why it is a linear function is because the changes in the x and y-values are constant
What is a linear function?A linear function is a function that when plotted on a graph, forms a straight line.
1) The changes in x-values are;
Δx₁ = -2 - (-3) = 1
Δx₂ = -1 - (-2) = 1
Δx₃ = 0 - (-1) = 1
Δx₄ = 1 - 0 = 1
The changes in y-values are;
Δy₁ = 2 - 1 = 1
Δy₂ = 3 - 2 = 1
Δy₃ = 4 - 3 = 1
Δy₄ = 5 - 4 = 1
a. Is it a linear function? Yes
b. Why it is a linear function is because the first difference of the y-values and the change between consecutive x-values are both constant
2. The changes in x-values are;
Δx₁ = -2 - (-5) = 3
Δx₂ = -1 - (-2) = 1
Δx₃ = 2 - (-1) = 3
Δx₄ = 5 - 2 = 3
The changes in y-values are;
Δy₁ = 4 - 2 = 2
Δy₂ = 6 - 4 = 2
Δy₃ = 8 - 6 = 2
Δy₄ = 10 - 8 = 2
a. Is it a linear function? No
b. The reason why it is not a linear function is because the rate of change in the y-values is constant while the rate of change in the x-values varies, which indicates that the rate of the function also varies resulting in a non linear function.
3. The changes in x-values are;
Δx₁ = -5 - (-10) = 5
Δx₂ = 0 - (-5) = 5
Δx₃ = 5 - 0 = 5
Δx₄ = 10 - 5 = 5
The changes in y-values are;
Δy₁ = 4 - 9 = -5
Δy₂ = 2 - 4 = -2
Δy₃ = 0 - 2 = -2
Δy₄ = -3 - 0 = 2
a. Is it a linear function? No
b. The reason why the table of values does not represent the values of a linear function is that the first difference, which is the change in the consecutive y-values is not constant, such that the rate of changes of the ordered pairs of the function function is not constant and the graph therefore does not follow a straight line pattern
4) The changes in x-values are;
Δx₁ = 3 - (-1) = 4
Δx₂ = 7 - 3 = 4
Δx₃ = 11 - 7 = 4
Δx₄ = 15 - 11 = 4
The changes in y-values are;
Δy₁ = -4 - (-9) = 5
Δy₂ = 1 - (-4) = 5
Δy₃ = 6 - 1 = 5
Δy₄ = 11 - 6 = 5
a. Is it a function? yes
b. The reason why it is a function is because the first difference in the y-values is constant and the difference between consecutive x-value terms is also constant
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Find the sum if it exists of the infinite geometric series related to the infinite geometric sequence described by an=12(0.2)^n-1
The sum of the infinite geometric sequence exists and is equal to 15.
We are given an expression for terms in a geometric progression. The term at position "n" is given by the following formula.
T(n) = 12(0.2)^(n - 1)
The general representation for the terms in a geometric sequence is given by : T(n) = a*r^(n - 1).
Here, the variables "a" and "r" represent the first term and the common ratio for the geometric progression. On comparing the given formula with the standard representation, we conclude that the first term of the given geometric progression is 12 and the common ratio is 0.2.
a = 12
r = 0.2
The sum of an infinite geometric sequence exists if the common ratio lies between -1 and 1.
-1 < r < 1
-1 < 0.2 < 1
The above inequality holds true, so the sum exists. Let the sum of the infinite geometric sequence be denoted by "S". The formula and calculations are below.
S = a/(1 - r)
S = 12(1 - 0.2)
S = 12/0.8
S = 15
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BRAINLIST! Please answer!!Parallelogram Properties
1. In Parallelogram JKLM if m
Answer:
60
Step-by-step explanation:
I believe two angles should add up to 180 in a parallelogram
4.5 x 10 power of -6 in standard notation
Answer: 0.0000045
Step-by-step explanation:
Since it is -6, you move it to the right and add 6 zeros and take off the decimal between the 4 and the 5
Hope that helps you! :)
Solve this system of equations using the LINEAR COMBINATION method, then answer the questions below.
2x - y = - 4 6x + 5y = 4
• What did you get for the (x, y) solution to this system? (2.5 points)
• Explain what you did to create a pair of opposites so that you could combine the equations. (2.5 points)
The solutions to the system of equation (x, y) are (-1, 2)
System of EquationsA system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect.
The equations given are;
2x - y = -4 ... eq(i)
6x + 5y = 4 ... eq(ii)
Solving the equations
x = -1 , y = 2
The solutions of the problem are x = -1 and y = 2
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Please help!!!
How many complex roots does the equation 0= 3x^5-x^4-5x^2 +1 have?
The polynomial equation 0 = 3x⁵ − x⁴ − 5x² + 1 contains 2 complex roots as a result.
Describe a polynomial.
A mathematical expression that contains at least two terms with variables or integers is referred to as a polynomial. A polynomial may include several terms.
Below is a polynomial equation that is given:
0 = 3x⁵ − x⁴ − 5x² + 1
Which can also be written as
3x⁵ − x⁴ − 5x² + 1 = 0
A polynomial of degree 5 is used in the accompanying polynomial equation.
Using a graphing application to solve it graphically is the simplest approach.
The polynomial equation obviously has a maximum of 5 roots because it is an equation of degree 5.
Now that we have the graph, we can use it to find the equation's roots.
There are 2 complex roots because there are only 3 real roots and 2 remaining are complex roots.
The polynomial equation 0 = 3x⁵ − x⁴ − 5x² + 1 contains 2 complex roots as a result.
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(PLEASE HELP FAST) A 9-member team plans to run a 4-mile relay race. Distance markers are placed on the racecourse every 0.25 mile. Will any of the relay exchanges take place at any of the 0.25-mile markers? If so, which one(s)? List the locations of all of the exchanges in decimal form.
No there will be no relay exchange in any of the 0.25-mile markers
the exchanges are
0.44440.88891.33331.77782.22222.66673.11113.55564Further explanation of the exchanges are treatedIn a 4 mile race the exchanges are made equal by the number of the team members
therefore the exchanges will be at interval of 4/9 and repetitive addition give other points and the list are
4/9, 8/9, 4/3, 16/9, 20/9, 8/3, 20/9, 32/9, and 4
In decimal form this will be listed in four decimal place
0.4444
0.8889
1.3333
1.7778
2.2222
2.6667
3.1111
3.5556
4
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18. Construction workers will test to see if two walls meet at a right angle by using a 3-4-5
Pythagorean triple or a multiple of this triple. Two walls meet as shown below and a worker
marks a point on each wall with an %.
(a) If these walls met at a right angle, how much
distance should be between the two marked
points?
12 ft
19.5 ft
16 ft
what is 7 times [(7+7)divided by 7
Answer: 14
Step-by-step explanation: do the parentheses first, 7+7 is 14, multiply by 7 to get 98 divide by 7 to get 14
Answer:
14
Step-by-step explanation:
bc 7x7 us 49 and u divided by 7 your answers is going to be 14
8 < x (7 − x)
Please help, no one has answered this question
I Think thatthe answer is 2
Write a number with one decimal place, that is bigger than 6 wholes and 4 fifths but smaller than 7
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Question:
WRITING-Your friend is having trouble understanding the Midpoint Formula.
a. Explain how to find the midpoint when given the two endpoints in your own words.
b. Explain how to find the other endpoint when given one endpoint and the midpoint in your own words.
PLEASE DO NOTE THAT THIS IS WRITING NOT OPTIONS. Thank you in advance! :)
The formula that is used to calculate the midpoint for the given two point is written as ( (x₁ + x₂)/2 , (y₁ + y₂)/2).
Mid point:
Midpoint refers the point on a line that is at an equal distance from either end.
Given,
Here we have to explain the concept of midpoint in a simple manner.
According to the definition, midpoint refers the central point between the two points.
So, in a simple manner we have said that the mid point is calculated by finding the average of the two given point.
For example, (x₁, y₁) and (x₂, y₂) are the points, then the midpoint (xₙ, yₙ) is calculated by using the formula,
(xₙ, yₙ) = ( (x₁ + x₂)/2 , (y₁ + y₂)/2)
Similarly, if one point and the midpoint is given, then the another point is calculated by apply the remaining point as (x, y) and solve it accordingly, then we can get the value of it.
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use the communitive property to simplify the expression. 1/3 + 3/5 + 2/3
The simplified expression using the commutative property is in the first option : 1/3 + 2/3 + 3/5 = 1 + 3/5 = 1 3/5 .
now the given expression is 1/3 + 2/3 + 3/5 .
Therefore this expression can be simplified using the commutative property where we put the like terms together.
1/3 + 3/5 + 2/3
= 1/3 + 2/3 + 3/5 (here we use commutative property on the second and third terms of the expression)
= 1 + 3/5 (we know that 1/3 +2/3 = 1)
=1 3/5
Hence by using the commutative property we calculate the sum easily.
The commutative property applies to the arithmetic operations of addition and multiplication. This suggests that no matter how the numbers are arranged or placed, the result of adding or multiplying them remains the same.
As an illustration, 1 + 5 = 6 and 5 + 1 = 6. No matter how two numbers are added, the sum is unaffected. Multiplication uses the same principle. The commutative property does not hold for division and subtraction because the results are completely different when the numbers are rearranged.
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Tickets to a basketball game can be ordered online for a set price per ticket plus a $5. 50 service fee. The total cost in dollars for ordering 5 tickets is $108. 0. Which linear function represents c, the total cost, when x tickets are ordered? c(x) = 5. 50 + 20. 50x c(x) = 5. 50x + 20. 50 c(x) = 5. 50 + 21. 60x c(x) = 5. 50x + 21. 60.
The Linear function representing the total cost , where x is the number of tickets is c(x) = 5. 50 + 20. 50x , the correct option is (a) .
In the question ,
it is given that ,
the total cost for 5 tickets = $108
the service fees for the tickets to a basketball game = $5.50
we need to find the cost function for 5 tickets .
we substitute , the value of x = 5 in each option and check which option gives the cost as $108 .
Option (a)
c(x) = 5.50 + 20.50x
= 5.50 + 20.50(5)
= 108
Option(b)
c(x) = 5. 50x + 20. 50
= 5.50(5) + 20.50
= 48
Option(c)
c(x) = 5. 50 + 21. 60x
= 5.50 + 21.60(5)
= 113.5
Option(d)
c(x) = 5. 50x + 21. 60
= 5.50(5) + 21.60
= 49.1
So, from the answers above we can conclude that the cost function representing the cost for 5 tickets is c(x) = 5. 50 + 20. 50x .
Therefore , The Linear function representing the total cost , where x is the number of tickets is c(x) = 5.50 + 20.50x .
The given question is incomplete , the complete question is
Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108 . Which linear function represents c, the total cost, when x tickets are ordered ?
(a) c(x) = 5.50 + 20.50x
(b) c(x) = 5.50x + 20.50
(c) c(x) = 5.50 + 21.60x
(d) c(x) = 5.50x + 21.60.
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Malik took a survey to find out how many students in his school have a pet. There are 628 students in the school. 50% of them have a pet. How many students in Malik's school have a pet?
Step-by-step explanation:
628x50/100 = 314
Answer: 314 students have a pet
Step-by-step explanation: 628 divided by 2 = 314
Select the correct answer.
What is the domain of y= cos (x)
a.2pie
b. [-1,1]
c. (-infinity, infinity)
d. [0,infinity)
The answer should be C.
The range of definition of the cosine function is all real numbers. [tex]R[/tex]
It is also periodic in [tex]2\pi[/tex].
It is an even function. [tex]f(x)=f(-x)[/tex]
It can also be written in this form.
[tex]cos(x)=\frac{e^{-ix}+e^{ix}}{2}[/tex]suppose 1,872 of 2,600 registered voters sampled said they planned to vote for the republican candidate for president. using the 0.95 degree of confidence, what is the interval estimate for the population proportion (to the nearest 10th of a percent)?
how do i do these?
i'm having trouble figuring out which is x and which is y.
Answer:
X is horizontal axis, Y is vertical axis
Step-by-step explanation:
(x,y) in the notation
pls help
In a set of eight consecutive integers, the smallest integer is more than $\frac35$ of the largest integer. What is the smallest possible value of the sum of the eight integers?
The smallest possible value of the sum of the eight integers is given by:
116.
What are the integers?The eight integers in the problem are given as follows:
n, ..., n + 7.
Hence:
The smallest integer is of n.The largest integer is of n + 7.The smallest integer is more than 3/5 of the largest integer, hence the following inequality is built to relate them:
n > 3/5(n + 7)
Applying the distributive property on the right side, we have that:
n > 0.6n + 4.2.
0.4n > 4.2
n > 4.2/0.4
n > 10.5.
Hence the integers are:
11, 12, 13, 14, 15, 16, 17, 18.
(as 11 is the smallest integer possible).
Then the value of the sum is obtained as follows:
11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 = 116.
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Please write a linear equation that passes through (5,2) and (6,4)!
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{5}}} \implies \cfrac{ 2 }{ 1 } \implies 2[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ 2}(x-\stackrel{x_1}{5}) \\\\\\ y-2=2x-10\implies {\Large \begin{array}{llll} y=2x-8 \end{array}}[/tex]
Help pls
2 Answers and I can make brainliest whoever has the correct answer
Check the picture below.
so if we look at those dimensions in centimeters, let's get the area of the cross-section, keeping in mind the volume of the bar is simply the area of the cross-section times the length.
[tex]\stackrel{\textit{\Large area of the cross-section}}{(2)(15)cm^2~~ + ~~(2)(15)cm^2~~ + ~~(8)(2)cm^2\implies 76~cm^2} \\\\\\ \stackrel{\textit{\LARGE bar's volume}}{76cm^2\cdot 120cm\implies 9120~cm^3}[/tex]
now, we know the density of the metal for the bar is 8 g/cm³, so let's do a quick conversion for the whole bar
[tex]\begin{array}{ccll} grams&cm^3\\ \cline{1-2} 8 & 1\\ g& 9120 \end{array} \implies \cfrac{8}{g}~~=~~\cfrac{1}{9120}\implies 72960=g\implies 72.960Kg[/tex]
so if one bar has 72.960 Kg, how many bars are there in 250Kg?
[tex]\begin{array}{ccll} bars&Kg\\ \cline{1-2} 1 & 72.960\\ b& 250 \end{array} \implies \cfrac{1}{b}~~=~~\cfrac{72.960}{250} \\\\\\ 250=72.96b\implies \cfrac{250}{72.96}=b\implies 3.43\approx b\qquad \textit{so only \underline{three whole bars}}[/tex]
7j+5−8k when j = 0.5 and k = 0.25
Answer:6.5
Step-by-step explanation:
Here j = 0.5 and k = 0.25
7j+5-8k
= 7(0.5)+5-8(0.25)
= 3.5+5-2
= 6.5
A simple random sample of 60 items resulted in a sample mean of 25. The population standard deviation is o = 7. (Round your answers to two decimal places.) (a) What is the standard error of the mean, 0-? (b) At 95% confidence, what is the margin of error?
a) The standard error of the mean is 0.90
b) The marginal error is 1.76
Given,
Number of samples in the population, n = 60
Sample mean of the population, μ = 25
Standard deviation of the population, σ = 7
We have to find the standard error of the mean and the margin of error at 95% confidence.
Here,
a) The standard error of the mean = Standard deviation / root of sample
= σ / √n
= 7/√60
= 0.90
b) The margin error;
Zₐ/₂ × σ / √n
= Zₐ/₂ × 7/√60
= 1.96 × 0.90
= 1.76
Therefore,
a) The standard error of the mean is 0.90
b) The marginal error is 1.76
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Babe Ruth, professionl bseball player known for hitting home runs, had a batting average of 0.342. Hank Aaron, another record home urn hitter, had a batting average of 0.305 . How much greater was Babe Ruth's batting avarage that Hank Aaron's ?
Babe Ruth's batting average is 0.037 more than that of Hank Aaron's
From the question, we have
difference = 0.342-0.305
=0.037
Babe Ruth's batting average is 0.037 more than that of Hank Aaron's
Subtraction:
Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.
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