Dave has inherited an apple orchard on which 70 trees are planted. Under these conditions, each tree yields 10 bushels of apples. According to the local WSU extension agent, each time Dave removes a tree the yield per tree will go up 0.45 bushels. Let x be the number of trees in the orchard and N the yield per tree. (a) Find a formula for N in terms of the unknown x. (Hint: Make a table of data with one column representing various values of x and the other column the corresponding values of N. After you complete the first few rows of the table, you need to discover the pattern.) 41.5 – 0.45x x (b) What possible reason(s) might explain why the yield goes up when you remove trees? removing trees will mean that you will be able to share more nutrients for the trees that are left, which produces more apples per tree, and better quality of the apples as well. The yield increases as the quality and care increases for the trees.
X = 88.1. The total of all interest, dividends, or other income that an investment provides divided by the age of the investment or the period over which the investor has held it is the average yield on an investment.
What is average yield?
The average yield on an investment or a portfolio is calculated by dividing the total interest, dividends, or other income received by an investment by the investment's age or the period over which the investor has held it. In particular, it alludes to yield, or the total revenue from an investment divided by the number of years kept.
There are numerous yield kinds, and the calculating process varies depending on the specific yield type and the type of security. Because of these variations, comparisons of yields between other financial product categories should be used with caution.
In the case of stocks, yield is determined by dividing the price rise plus dividends by the original purchase price. Both cost yield and current yield can be used to examine bond yield.
Given data :
Let x be the number of trees in the orchard and N the yield per tree.
No of trees = 70
yield = 10
formula for N in terms of the unknown x :
(10+(70-x)0.55)
10 + 38.5 - 0.55x
-0.55x = 48.5
x = 48.5/ 0.55 = 88.1
Learn more about Average yield refer to :
brainly.com/question/14218238
#SPJ4
15 points!!!! Carefully look at the relationship between altitude and
temperature in the atmosphere. Describe how temperature
changes when moving from sea level upward in the
atmosphere.
From the data given, we can see that as you move upward in the atmosphere from sea level, the temperature generally decreases such as from 28 degree to negative degree.
Why does temperature change with altitude in atmosphere?This is because earth atmosphere is heated from bottom-up by the Earth's surface, so, the nearest air to the ground is warmer than the air at higher altitudes. When we climb higher, the air pressure decreases and this causes the air to expand and cool.
This decrease in temperature with increasing altitude is known as the adiabatic lapse rate, but this is known to vary depending on factors such as humidity and atmospheric conditions.
Read more about temperature
brainly.com/question/25677592
#SPJ1
3. Pozfrescims nepibricoms
a) $5 x+8 ≤2-3 x
The value of x for the given inequality is always greater than and equal to -3/4.
In the given question we have to find the value of x.
The given inequality is 5x+8 ≤2-3x.
Now solving the given inequality.
To solve the inequality we firstly subtract 2 on both side, Then we equate the coefficient and variable in one side.
5x+8 ≤2-3x
Subtract 2 on both side, we get
5x+6≤-3x
Now subtract 5x on both side, we get
6≤-8x
Now divide by -8 on bot side, we get;
x≤-6/8
x≤-3/4
We change the inequality because the sign is changed.
Hence, the value of x for the given inequality is always greater than and equal to -3/4.
To learn more about solving the inequality link is here
brainly.com/question/11897796
#SPJ4
A rectangular farm has an area of 1/2 square miles. If its length is 1/3 miles, what is its width?
Reduce 36 over 54 please help thank you
I need another answer
Answer:
20/z thats the answer I hope u understand
The line shown the line of best fit. The slope should and the y-intercept should
the line shown ISN'T the line of best fit. The slope should INCREASE and the y-intercept should REGRESS.
The line shown is not the line of best fit. The slope should increase and the y-intercept should regress.
We have given the graph of the regression line.
What is the graph of the regression line?
Regression lines can be used as a way of visually depicting the relationship between the independent (x) and dependent (y) variables in the graph.
A straight line depicts a linear trend in the data
Therefore, from the graph, we can conclude that,
The line shown is not the line of best fit.
The slope should increase and the y-intercept should regress.
To learn more about the regression line visit:
https://brainly.com/question/26059078
Tyler ate x fruit snacks, and Han ate 3/4 less than that. Write an equation to represent the relationship between the number Tyler ate (x) and the number Han ate (y).
Answer:
0.75x = y
Step-by-step explanation:
The required expression represents the relationship between the number Tyler ate (x) and the number Han ate (y) is y = x/4.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
Tyler ate x fruit snacks, and Han ate 3/4 less than that
Let the snacks eaten by Han be y,
According to the question,
y = x - 3/4x
y = x/4
Thus, the required expression represents the relationship between the number Tyler ate (x) and the number Han ate (y) is y = x/4.
Learn more about equations here:
brainly.com/question/10413253
#SPJ5
Which of the following measures would create an infinite number of triangles?
three angles: 62°, 34°, and 84°
three sides: 3 cm, 5 cm, and 10 cm
two sides of 4 cm and 7 cm with an angle of 54° between them
three sides: 3 cm, 5 cm, and 7 cm
Answer:
(a) three angles: 62°, 34°, and 84°
Step-by-step explanation:
You want to know which specification can result in an infinite number of triangles.
Angles onlyIf only the angles are specified, the sides can have an infinite number of (related) lengths.
three angles: 62°, 34°, and 84° will create an infinite number of triangles
Sides onlyAssuming the side lengths can form a triangle, they will specify exactly one triangle.
Lengths 3 cm, 5 cm, and 10 cm cannot form a triangle.
Sides and angle betweenWhen two sides are specified along with the angle between them, exactly one triangle can be formed.
The function f(x)=−3x+2 is defined over the domain −1
The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.
The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.
The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.
Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.
Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.
Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.
Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.
For more such question on function. visit :
https://brainly.com/question/11624077
#SPJ8
i need help on these please
The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.
How to calculate the constant rate of gas?From the given table;
The volume of the first gas Layla bought = 3 gallons.
The cost of the 3 gallons = 9.45
Therefore the cost of 1 gallon = ?
That is:
3 gallons = $9.45
1 gallon = X
Make X the subject of formula:
X = 9.45/3 = $3.15
Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.
Learn more about division here:
https://brainly.com/question/25289437
#SPJ1
Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?
Answer
Step by step explantion:
bsf= 26
Eliana:98
SS teacher=203
David=55
Step-by-step explanation:
m= music
bsf: m
eliana:4m-6
David:2m+3
SS teacher: 2(4m-6)+7
m+4m-6+2m+3+8m-12+7
382=15m-7
7+ +7
389=15m
/15m /15m
m=26
multiply 26 to each one of them
rita is on her way home in her car. she has driven 15 miles so far, which is three-fifths of the way home. what is the total length of her drive?
Answer:
25 miles pretty easy
Find the greatest common factor of 28 and 48
4
Step-by-step explanation:
the answer it this question is four (4))
Answer:
4
Step-by-step explanation:
Take out the factors of
28- 1, 2, 4, 7, 14, 28
48- 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
here we can see 4 is the GCF
PLEASE HELP DUEEE NOW !!!A diagram of a roundabout that is being designed to improve driver safety on a busy road is shown. The radius of the circular field planned for landscaping is 27.5 feet. What is the approximate distance around the outside of the circular field?
A. 345.4 feet
B. 172.7 feet
C. 86.35 feet
D. 2,323.1 feet
The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.
How to evaluate for the circumference of a circleTo calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).
We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:
Radius of the circular feild = 27.5
circumference of the circular feild = 2 × 27.5 feet × 3.14
circumference of the circular feild = 55 feet × 3.14
circumference of the circular feild = 172.7 feet.
Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.
Know more about circle here: https://brainly.com/question/20489969
#SPJ1
The points (1,7) and (7,5) fall on a particular line. What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answer:
\(y-7=-\dfrac{1}{3}(x-1)\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}\)
To find the equation of a line that passes through two given points, first find its slope by substituting the given points into the slope formula.
Define the points:
(x₁, y₁) = (1, 7)(x₂, y₂) = (7, 5)Substitute the points into the slope formula:
\(\implies m=\dfrac{5-7}{7-1}=\dfrac{-2}{6}=-\dfrac{1}{3}\)
Therefore, the slope of the line is -¹/₃.
\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)
To find the equation in point-slope form, simply substitute the found slope and one of the given points into the point-slope formula:
\(\implies y-7=-\dfrac{1}{3}(x-1)\)
How do I solve h(x)=2x + 7 and solve with 8
Answer:
h(x)=2x+7
h(8)=2(8)+7
h(8)=16+7
h(8)=23
Step-by-step explanation:
Put 8 in h(x) and simplify the equation.
In other words, put 8 wherever you see x and simplify the equation.
Residents of the town of Maple Grove who are connected to the municipal water supply are billed a fixed amount monthly plus a charge for each cubic foot of water used. A household using 1500 cubic feet was billed $80, while one using 2100 cubic feet was billed $92. Write an equation for the total cost of a resident's water as a function of cubic feet of water used.
Answer:
A = 50 + 0.02x
Step-by-step explanation:
Let the fixed amount be m
Let the charge for each cubic ft used be c
Let the amount of cubic ft of water used be x.
Let the total cost per month be A
Now, for the first household, they used 1500 cubic feet in a month and were billed $80.
This means, x = 1500 ft³ and A = $80
Since, we are told they are charged a fixed amount plus a fee per cubic ft consumed. We can say that;
m + cx = A
Thus,
m + 1500c = 80 - - - - (eq1)
For 2nd household:
They used 2100 cubic feet was billed $92.
Thus;
m + 2100c = 92 - - - - (eq 2)
Let's subtract eq1 from eq 2 to get;
2100c - 1500c = 92 - 80
600c = 12
c = 12/600
c = 0.02
Putting 0.02 for C in eq1 gives;
m + 1500(0.02) = 80
m + 30 = 80
m = 80 - 30
m = 50
From m + cx = A, we can say that;
50 + 0.02x = A
What is the image of (-4, -12) after a dilation by a scale factor of centered at the 1/4 origin?
9514 1404 393
Answer:
(-1, -3)
Step-by-step explanation:
Each coordinate is multiplied by the dilation factor when dilation is centered at the origin.
(1/4)(-4, -12) = (-1, -3) . . . . the image of the given point
In 2005 an area vocational school had an enrollment of 325 men and 123 women. In 2006 there were 149 women. what was the percent increase of women students. The answer should be rounded to the nearest whole percent
The nearest Whole percent, the percent increase of women students is approximately 21%.
The percent increase of women students, we need to compare the number of women students in 2005 and 2006.
In 2005, the number of women students was 123.
In 2006, the number of women students was 149.
To find the increase, we subtract the initial value (2005) from the final value (2006):
Increase = Final Value - Initial Value
Increase = 149 - 123
Increase = 26
Next, we need to calculate the percent increase. The percent increase is given by the formula:
Percent Increase = (Increase / Initial Value) * 100
Plugging in the values:
Percent Increase = (26 / 123) * 100
Calculating the percent increase:
Percent Increase ≈ 21.14%
Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.
Therefore, the answer is 21%.
To know more about Whole percent.
https://brainly.com/question/24877689
#SPJ11
Help please they are just true or false responses
Parallelogram A'B'C'D'is the image of parallelogram ABCD after a sequence
of transformations. Which sequence of transformations could have been
applied?
O A. Reflection across the y-axis; translation 1 unit to the right
B. Reflection across the x-axis; translation 1 unit to the right
O C. Reflection across the y-axis; translation 1 unit up
OD. Reflection across the x-axis; translation 1 unit up
The correct sequence of transformations applied to the parallelogram is: A. "Reflection across the y-axis; translation 1 unit to the right."
How to Determine the Sequence of Transformations?The correct sequence of transformations is Option A. Parallelogram ABCD is reflected across the y-axis, resulting in A'B'C'D', and then translated 1 unit to the right.
This transformation preserves the orientation of the parallelogram while mirroring it across the y-axis and shifting it horizontally to the right. The given coordinates of the vertices align with this sequence of transformations.
Learn more about Sequence of Transformations on:
https://brainly.com/question/15690673
#SPJ1
What type of angles are labeled and what is the value of m? Show your work.
Answer: I believe
M = 80
Step-by-step explanation:
100 - 20 = 80
How do complementary angles relate to right angles?
Does anyone know what 7600 53/8 simplified is
Answer:
53/8 = 53/8
Step-by-step explanation:
Here we will simplify 53/8 to its simplest form and convert it to a mixed number if necessary.
In the fraction 53/8, 53 is the numerator and 8 is the denominator.
When you ask "What is 53/8 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.
We do this by first finding the greatest common factor of 53 and 8, which is 1.
Then, we divide both 53 and 8 by the greatest common factor to get the following simplified fraction:
58/3
Therefore, this equation is true:
53/8 = 53/8
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
53/8 = 6 5/8
-Hope this helps.
Consider the following system of two linear equations:
4y + 3x = 0
4y - x = 16
What is the point of intersection?
Answer: The two lines intersect at (-4,3)
Step-by-step explanation:
So our first step would be to turn both of these into standard slope-intercept form.
1.)
4y + 3x = 0
4y = -3x
y = -3/4x
2.)
4y - x = 16
4y = x + 16
y = 1/4x + 4
Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)
determine whether or not the representation is a function or not will mark brainiest
Answer:
NoStep-by-step explanation:
the graph shown is not a function,
because it does not pass the vertical line test
Virginia ha hecho jugo de naranja ha llenado 3 envases de 250 ml y otro
más de 50 ml. Después los sirve en vasos de 20 cl. ¿ Cuántos vasos
llena de jugo?
Virginia puede llenar 4 vasos de jugo.
En total, Virginia ha llenado 3 envases de 250 ml, lo que equivale a 3 x 250 = 750 ml de jugo.
Además, ha llenado otro envase de 50 ml, por lo que en total ha hecho 750 + 50 = 800 ml de jugo.
Para saber cuántos vasos de 20 cl se pueden llenar con 800 ml de jugo, primero es necesario convertir 20 cl a ml. Como 1 cl equivale a 10 ml, entonces 20 cl equivalen a 20 x 10 = 200 ml.
Entonces, la cantidad de vasos que se pueden llenar con 800 ml de jugo es:
800 ml / 200 ml por vaso = 4 vasos
Por lo tanto, Virginia puede llenar 4 vasos de jugo.
for such more question on llenar
https://brainly.com/question/28732353
#SPJ11
Help Quickly! Which survey would you expect to have fair results regarding attitudes about carnivals?
A. Do you like going to carnivals?
B. Do you like going to exciting carnivals?
C. Do you like traveling across town to go to carnivals?
D. Do you like going to noisy, overpriced carnivals?
Question A is the survey that you expect to have fair results regarding attitudes about carnivals
How to get the best survey questionThis survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.
Option B uses the adjective "exciting," which could lead people to think positively about carnivals.
Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.
Read more on survey here:https://brainly.com/question/14610641
#SPJ1
What is the average rate of change for this quadratic
function for the interval from x=2 to x = 4?
A. 12
B. -6
C. -12
D. 6
-10-
Click here for long description
SUBMIT
The average rate of change of the function over the interval is -6
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
The graph
The interval is given as
From x = 2 to x = 4
The function is a quadratic function
This means that it does not have a constant average rate of change
So, we have
f(2) = -3
f(4) = -15
Next, we have
Rate = (-15 + 3)/(4 - 2)
Evaluate
Rate = -6
Hence, the rate is -6
Read more about average rate of change at
brainly.com/question/17131025
#SPJ1