The solution is, the area after 6 years is 3198.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
Rate of reduction = 100 - 3.25 = 96.75%
After 6 years, the reduction in trees =0 .9675^6
=0.820
Area after 6 years = 3900 x 0.820
= 3198
Hence, The solution is, the area after 6 years is 3198.
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HERES THE ACTUAL QUESTION YALL
Kinetic energy of a moving object depends directly on its mass and velocity.
What is energy?Energy is the ability to do work. There are several types of energy like potential energy, kinetic energy, heat energy, mechanical energy, electrical energy and so on.
Kinetic energy is the energy that an object possesses due to its motion. All moving objects possesses this energy (kinetic energy). The kinetic energy of an object is given by:
Kinetic energy = (1/2) * mass * velocity²
Kinetic energy depends on mass and velocity.
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what is the probability that a standard normal random variable will be between .3 and 3.2?
According to the z table, there is a 0.3814 percent chance that such a standard normal random variable would fall between 0.3 and 3.2.
What is the probability?
The possibility of an event occurring is stated as a number between 0 and 1, where 0 indicates that the event cannot occur and 1 indicates that the event is guaranteed to occur. The probability of an event A is defined mathematically as the number of positive outcomes divided by the total number of alternative outcomes.
We must determine the likelihood that a standard normal random variable would occur with a probability between 0.3 and 3.2.
First, a standard normal random variable with a mean and standard deviation is introduced.
We must determine the likelihood that a standard normal random variable will fall within the range of 0.3 and 3.2.
The probability therefore should be
P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)
Using z's typical value
P(0.3<z<3.2)=0.9993−0.6179
P(0.3<z<3.2)=0.3814
Therefore, there is a 0.3814 percent chance that a standard normal random variable would fall between 0.3 and 3.2.
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Suppose that the functions s and t are defined for all real numbers x as follows.
s(r) = 5,2
+(x) =3
write the expressions for (s + t) (x) and (s- t) (x) and evaluate (s-t) (-1).
When s and t are functions, the expression for (s + t) (x) is s(x) - t(x), and the result of (s-t)(-1) is -2.
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. Example. A function is a type of rule that produces one output for one input. Alex Federspiel provided the image. y=x2 is an example of this. If you enter anything for x, you will only get one output for y. Because x represents the input value, we may say that y is a function of x.
Here,
Given the functions s(x) = 5 and t(x) = 3, we can find the expressions for (s + t)(x) and (s - t)(x) as follows:
(s + t)(x) = s(x) + t(x) = 5 + 3 = 8
(s - t)(x) = s(x) - t(x) = 5 - 3 = 2
To evaluate (s - t)(-1), we simply plug in -1 for x in the expression for (s - t)(x):
(s - t)(-1) = 2
So, (s - t)(-1) = 2.
The expressions for (s + t) (x) is s(x) - t(x) and value of (s-t)(-1) is -2 when s ad t are functions.
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Identify the initial amount a and the rate of decay r (as a percent) of the exponential function f(t)=475(0.5)t. Evaluate the function when t=3. Round your answer to the nearest tenth.
The function when t=3 to the nearest tenth is 59.4.
How did we get the value?The initial amount is a = 475, and the rate of decay r is 50%.
To evaluate the function when t=3, we plug in t=3:
f(3) = 475(0.5)^3 = 475 * (0.125) = 59.375
Rounding to the nearest tenth, f(3) = 59.4.
Therefore, the correct answer is as given above. It could be concluded that the rounded answer to the nearest tenth is 59.4
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what is the arithmetic mean of $\frac{2}{5}$ and $\frac{4}{7}$ ? express your answer as a common fraction.
The arithmetic mean of the two fractions is 68/35.
The arithmetic mean can be calculated using the mentioned formula -
Arithmetic mean = sum of the numbers / frequency of numbers.
Sum of the fractions = 2/5 + 4/7
Performing division of the two numbers
Sum of the fractions = (14 + 20)/35
Sum of the fractions = 34/35
Arithmetic mean = (34/35)/2
Rewriting the average
Arithmetic mean = (34 × 2)/35
Performing multiplication on Right Hand Side of the equation
Arithmetic mean = 68/35
Hence, the Arithmetic mean is 68/35.
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what are the z scores for the middle 68%? (see example in canvas right above this assignment.) b) what are the z scores for the middle 95%? c) what are the z scores for the middle 99.7%?
The z-scores for the middle 68% of the normal distribution are -1.0 and +1.0, for the middle 95% are -2.0 and +2.0, and for the middle 99.7% are -3.0 and +3.0.
a) The z-scores for the middle 68% of the normal distribution are -1.0 and +1.0. This means that 68% of the data falls between the mean and 1 standard deviation above and below the mean. The formula for calculating z-scores is z-score = (x - μ) / σ, where x is the data point, μ is the mean and σ is the standard deviation.
b) The z-scores for the middle 95% of the normal distribution are -2.0 and +2.0. This means that 95% of the data falls between the mean and 2 above and below the mean. The formula for calculating z-scores is z-score = (x - μ) / σ, where x is the data point, μ is the mean and σ is the standard deviation.
c) The z-scores for the middle 99.7% of the normal distribution are -3.0 and +3.0. This means that 99.7% of the data falls between the mean and 3 standard deviations above and below the mean. The formula for calculating z-scores is z-score = (x - μ)/ σ, where x is the data point, μ is the mean and σ is the standard deviation.
The z-scores for the middle 68% of the normal distribution are -1.0 and +1.0, for the middle 95% are -2.0 and +2.0, and for the middle 99.7% are -3.0 and +3.0.
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Neil rents a canopy for $21.75 per
hour with a $25 delivery and
set-up fee. The rental costs a
total of $155.50. For how many
hours does Neil rent the canopy?
Create and solve the equation.
Answer:
21.75x + 25 = 155.50
-25 = -25
21.75x = 130.50
divide your slope from your variable
x = 6
You can infer causality from a correlational result, but only when the r value is greater than? a. 0 b. 0.5 c. 1
A correlational result can be used to infer causation, but only when the r-value is higher than 0.
The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables, with values ranging from -1 to 1. A value of 0 indicates no linear relationship between the variables, a positive value indicates a positive relationship, and a negative value indicates a negative relationship.
However, a correlation coefficient value only indicates the presence of a relationship between variables and does not imply causality. To establish causality, one needs to consider additional information, such as a plausible causal mechanism and the absence of alternative explanations.
Option A is the proper response, so.
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Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon round of the nearest tenth if necessary162430142240
The required formula to calculate exterior angle and an interior angle are 360°/n and (n-2) * 180°/n.
What is polygon?In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words poly (which meaning numerous) and gon (means sides). To create a closed figure, a minimum of three line segments must be connected end to end.
According to question:The measure of an exterior angle of a regular polygon with n sides is given by 360°/n. The measure of an interior angle of a regular polygon with n sides is given by (n-2) * 180°/n.
So if you provide the number of sides of the polygon, I can give you the measures of the exterior and interior angles rounded to the nearest tenth if necessary.
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How do you solve
-6y+2=4x
y-2=x
In elimination for linear equations
The solution to the given system of linear equations is (x, y) = (-1, 1).
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The system of equations is given in the question, as follows:
-6y + 2 = 4x
y - 2 = x
Here's how to solve this system of equations using the elimination method:
Multiply the first equation by 2:
-12y + 4 = 8x
Add the two equations:
-12y + 4 + y - 2 = 8x + x
-11y + 2 = 9x
Solve for x:
x = (2 - 11y)/9
Substitute the value of x back into one of the original equations to find y:
-6y + 2 = 4x
-6y + 2 = 4((2 - 11y)/9)
-6y + 2 = (8 - 44y)/9
-54y + 18 = 8 - 44y
26y = 26
y = 1
Use the value of y to find x:
x = (2 - 11y)/9
x = (2 - 11 * 1)/9
x = (2 - 11)/9
x = -9/9
x = -1
Thus, the solution is (x, y) = (-1, 1).
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50 apples cost $25. How much would 75 apples cost?
To find out how much 75 apples would cost, we need to find out the cost per apple and then multiply that amount by 75. If 50 apples cost $25, then the cost per apple is $25/50 = $0.50. So, 75 apples would cost $0.50 x 75 = $37.50.
Answer:
$37.50
Step-by-step explanation:
$25/50=$0.50 per apple
0.50 x 75 = $37.50
Help please, I don't understand.
Candle A is taller than candle B at the beginning of the burning. The correct option is D.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Candle, A is taken from the mould at 223mm of height initially. Candle B is represented by the function h = 200 - 5t.
The initial height of candle A:- 223 mm
The initial height of candle B is:-
h = 200 - 5 t
h = 200 - 5 x 0
h = 200 mm
Candle A > Candle B
Hence, the height of candle A is greater than the height of candle B.
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the perimeter of a rectangular field is 380 yd. the length is 10 yd longer than the width. find the dimensions
A rectangular field has a 380-yard perimeter. The length exceeds the width by 10 yards. The dimensions is 0.4121.
The area around a form's edge is known as its perimeter. By adding together the lengths of the sides of various forms, one may determine their perimeter. The length of each side is always added together to determine a shape's perimeter. Add the lengths of a rectangle's four sides to determine its perimeter. Finding all four sides is simple if you only know the width and height (two sides are each equal to the height and the other two sides are equal to the width). Divide the height and breadth by two and add the results.
So, the probability
Let breath be B.
Length[tex]=B+10[/tex]
Perimeter=2(Length + breath)
[tex]380=2(B+10+B)[/tex]
[tex]380=2(2B+10)\\380=4B+20[/tex]
[tex]B=90[/tex]
And Length is 100.
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if you are tossing a six-sided die, what is the probability of getting either a 1 or a 2 on your first toss and your second toss?
It is based on the likelihood of something occurring. The reasoning behind probability is the foundation of theoretical probability. The probability of getting one or two in first and second toss is [tex]\frac{1}{9}[/tex].
Probability is a number that represents the likelihood or chance that an event will occur. Probabilities can be expressed as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
The probability of getting one or two in first toss will be:-
[tex]\frac{1}{6} + \frac{1}{6} = \frac{1+1}{6} = \frac{2}{6} = \frac{1}{3}[/tex] ( as the probability of getting one in first toss is [tex]\frac{1}{6}[/tex] and getting two is also [tex]\frac{1}{6}[/tex]).
Similarly the probability of getting one or two in second toss will be:-
[tex]\frac{1}{6} +\frac{1}{6} = \frac{1+1}{6} = \frac{2}{6} = \frac{1}{3}[/tex]
The total probability of getting one or two in first and second toss will be:-
[tex]\frac{1}{3} *\frac{1}{3} = \frac{1}{9}[/tex]
Hence, Henceprobability is [tex]\frac{1}{9}[/tex].
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mr. Smith started 8 yards away from the motion detector, and two seconds later, he was 4 yards away from the detector. The graph below shows Mr. Smith’s motion. What is the difference between the rate of change of the intervals: 1,2 and 2,4?
The difference between the rate of change of the intervals: 1,2 and 2,4 is; 2
How to find the rate of change over an interval?The average rate of change over the intervals (x₁, y₁) and (x₂, y₂) is given by the formula;
Average rate of change = (y₂ - y₁)/(x₂ - x₁)
Thus, the average rate of change between the intervals (1, 2) and (2, 4) is;
Average rate of change = (4 - 2)/(2 - 1)
Average rate of change = 2/1
Average rate of change = 2
That is the difference between the rate of change over the two given intervals.
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Distributive property 42÷3
Answer: 14
Step-by-step explanation: 42 divided by 3 is 14.
As a fraction: 42/3
Answer:
42÷3= 14?
Step-by-step explanation:
Line GH contains points G(-2, 6) and H(5, -3). What is the slope of CH?
1:-7/3
2:-9/7
3:-7/9
4:-3/7
The slope of line GH that contains points G(-2, 6) and H(5, -3) is equal to: 2. -9/7.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (-2, 5).Points on y-axis = (6, -3).Substituting the given data points into the slope formula, we have the following;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-3 - 6)/(5 - (-2))
Slope (m) = -9/7
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23. The table below compares the ages, in years, of two cousins. Ann's age, x Tom's age, y 16 12 8 4 4 Ay 8 8 12 Part A: Write an equation that shows the relationship between Ann's age, x, and Tom's age, y. Part B: Use the snipping tool to plot your points (x, y) on the graph to show the relationship using the values from the table. Save and then insert your graph below. For a bonus point, label the x-axis and y-axis.
Part A: The equation that shows the relationship between Ann's age, x, and Tom's age, y is y = x - 8.
What is equation relationship ?Relationship in Maths is the connection between two or more elements of a mathematical system. It can be regarded as a link between two or more mathematical objects or ideas. It can be expressed in terms of equations, inequalities, functions, and graphs. Most of the time, relationships in Maths are represented by symbols and arrows. For example, an arrow from one object to another represent a relationship between them. This type of representation is used to show the connection between different elements of a mathematical system.
Part B: The graph of the relationship between Ann's age, x, and Tom's age, y is shown below with the x-axis representing Ann's age, x, and the y-axis representing Tom's age, y.
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an orchard owner is investigating a new formula of fertilizer to determine if it produces more apples per tree compared to a current popular brand.part a: which of the following design is most appropriate: observational study, experiment, census, or sample survey? explain your reasoning. (3 points)part b: explain how you would implement the design you selected in part a. (4 points)part c: explain one benefit your design would provide. (3 points)
The most appropriate design would be experiment. Implementation of the design would be by selection of trees, then the application of fertilizer, followed by data collection and statistical analysis.
a) Most appropriate design: Experiment
The orchard owner wants to determine if a new formula of fertilizer produces more apples per tree compared to a current popular brand. To make a causal conclusion, an experiment would be the most appropriate design. In an experiment, the orchard owner would randomly assign the trees to receive either the new fertilizer formula or the current popular brand and then compare the number of apples produced. This allows the orchard owner to control for other variables and isolate the effect of the fertilizer on the number of apples produced.
b) Implementation:
Selection of trees: The orchard owner would randomly select a sample of trees from their orchard and divide them into two groups: the experimental group (receiving the new fertilizer formula) and the control group (receiving the current popular brand).
Application of fertilizer: Both the experimental and control groups would receive the same amount of fertilizer, but the experimental group would receive the new formula while the control group would receive the current popular brand.
Data collection: The orchard owner would measure the number of apples produced by each tree in both the experimental and control groups.
Statistical analysis: The orchard owner would use appropriate statistical tests to compare the number of apples produced by each group and determine if there is a significant difference between the two.
c) Benefit:
One benefit of this experimental design is that it allows the orchard owner to determine causality. By randomly assigning the trees to receive either the new fertilizer formula or the current popular brand, the orchard owner can be confident that any difference in the number of apples produced is due to the fertilizer and not other factors. This is important for making decisions about which fertilizer to use in the future.
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defin the domen and range fanction
Answer:
The domain is the set of all the input values of a function and the range is the possible output given by the function.
plss helppppp meeeeee
Step-by-step explanation:
Slope-Intercept form is Y = mx + b
So we have to turn 9x + 3y = -9 into that.
A ideal first step would be subtracting 9x on both sides, that would make it
3y = -9x-9
Next step would be dividing by 3 on both sides. This can get the y all alone
[tex]y = \frac{ - 9x - 9}{3} [/tex]
Since the denominator is below multiple numbers, we can separate it as so
[tex]y = \frac{ - 9x}{3} - \frac{9}{3} [/tex]
Simplifying 9/3 goes to 3/1. 3/1 is the same as 3, because any number over 1 is that number. Doing that to both will get our answer.
[tex]y = - 3x - 3[/tex]
an experiment consists of observing the gender of a baby when it is born. a. list the outcomes in the sample space. b. list all possible events. c. if the baby is a girl, which event(s) in (b) has (have) occurred?
The concept is an experiment conducted on Probability. Probability tells us how frequently some event will be after numerous repeated trials.
Probability is a branch of mathematics that deals with numerical descriptions of the probability that an event will occur or the probability that a statement is true. The probability of an event is a number between 0 and 1,
The sample space refers to the list of all possible issues of a trial. Each possible outgrowth is represented by a single point in the sample space, irrespective of the number of ways that outgrowth can do.
Given:
A) In an experiment, the gender of a child is observed at birth.
A child can be of two sexes: male and female.
Let (M) be male and (F) be female and denote (S) the pattern space.
Then: S = {M,F}
B) The list of all possible outcomes is called the pattern space. If we name two children in the order of their birth, there are 4 possible outcomes. Using M for men and F for women can shorten the results. The list of all possible outcomes:
S={M, F} ,{M,M}, {F,F}
c) If the child were a girl, then from the previous scenario S= {F, F} would result.
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What is the image point (70,0) after a rotation of 270° counterclockwise about the origin?
Answer: ( 0, -70)
Step-by-step explanation: make a sketch on the x-y plane to see why
i need help whatsb the answer
Answer:Simplify the expression.
Exact Form:
35
8
Decimal Form:
4.375
Mixed Number Form:
4 3/8
Step-by-step explanation:
Find the eighth term in the sequence and explain how you arrived at this answer.
1, -3, 9, -27, 81, ...
The eighth term of the sequence is -2187.
What is geometric sequence?A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.
aₙ=a₁(r)ⁿ⁻¹
We have a geometric sequence,
1, -3, 9, -27, 81, ...
The common ratio,
r = -3/1 = -3.
And the first term is 1.
The explicit formula,
aₙ=a₁(r)ⁿ⁻¹
aₙ= (1)(-3)ⁿ⁻¹
The eighth term = (-3)⁷ = -2187.
Therefore, the eighth term = (-3)⁷ = -2187.
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question 11 pts suppose is an -matrix such that has only the trivial solution. how many pivot columns does have?
A matrix A is said to have only the trivial solution if the only solution to the system of equations, A x = 0, is the zero vector, x = 0.
The number of pivot columns in a matrix is equal to the rank of the matrix. Therefore, if A has only the trivial solution, it has rank 0, and so it has 0 pivot columns. To calculate the rank of a matrix, we can use the following formula: rank(A) = min(m, n) - dim(null A), where m and n are the number of rows and columns of A, respectively, and dim(null A) is the dimension of the null space of A.
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complete question:
Given an m x n matrix A, what is the number of pivot columns for A if it has only the trivial solution?
The price of an item has been reduced by 80%. The original price was $95. What is the price of the item now?
Answer: $19
Step-by-step explanation:
100% - 80% = 20%
20% ÷100 = 0.2
$95 x0.2 = $19
0r
10% of $95 = $9.50
9.50 x 2 = 19
question 8 Mathmatics
The appropriate sales price for a home in 2020 would be = 480 thousands. That is option A.
How to calculate tye appropriate sales price?The price of home in year 1990 = 149 thousand
The price of home in the year 1995 = 158 thousand
The difference in years = 2000-1995 = 5 years
The difference in the average sales price for the both years = 158-149 = 49 thousand.
The years difference between 2000 and 2020 = 20 years
If 5 years = 49 thousand
20 years = X
Make X the subject of formula;
X = 20×49/5
X = 980/5
X = 196 thousand
Therefore, the sales price for a home in 2020 would be = 207+196 = 403 thousands. The appropriate sales price would be = 480 in 2020.
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One more question before I leave my aunt house!
Grade 8th
Answer:
2. y = 3x + 6
3. y = 2x
4. y = 5x + 60
Step-by-step explanation:
Slope-intercept form: y = mx + b
2.
Pick 2 points (0,6) (1,9)
The y increase by 3, and the x increase by 1, so the slope is
m = 3
the y-intercept is located at (0,6)
Our equation is y = 3x + 6
3.
Pick 2 points (0,0) (1,2)
The y increase by 2, and the x increase by 1, so the slope is
m = 2
the y-intercept is located at (0,0)
Our equation is y = 2x
4.
Pick 2 points (0,60) (2,70)
The y increase by 10, and the x increase by 2, so the slope is
m = 10/2 = 5
the y-intercept is located at (0,60)
Our equation is y = 5x + 60
based on the residual plot shown, is a linear model appropriate for comparing tree age to basal area? because the residuals are centered about zero, a linear model is appropriate. because the residual plot does not show a clear pattern, a linear model is appropriate. because the residual plot shows a random a scatter of points, a linear model is not appropriate. because the residual plot does not appear linear, it is likely that tree age and basal area do not have a linear relationship.
Answer:
Because the residual plot does not show a clear pattern, a linear model is appropriate.
Step-by-step explanation: