Answer: Soil loss is caused by a variety of factors, including erosion from wind and water, mechanical tilling, logging, agricultural practices, and poor water management. Erosion and sedimentation, the major effects of soil loss, are widespread and can be devastating.
Erosion
Erosion is a natural process on hill slopes. The rate of erosion is determined by several factors, including soil type, rainfall, and length and percent of slope. Generally, human-induced changes in the landscape lead to higher levels of erosion than would occur naturally. While there are many ways to minimize erosion, vegetative cover is the most effective over the long term. Eroding road.When vegetation is removed, the rate of soil erosion is greatly accelerated, often beyond sustainable levels.
Sedimentation
Eroded soil deposited downslope is referred to as sedimentation. When severe rain or wind events occur or soils are disturbed by human
The Sedimentation Control Act of 1973 requires operators to implement short- and long-term mitigation measures to reduce erosion on- and off-site. Forest landowners who wish to harvest trees are exempt from these regulations if they comply with forestry practice guidelines, which include erosion control measures and mitigation. Best management practices (BMPs) are voluntary practices that reduce sources of se
Step-by-step explanation:
Select whether to use the Pythagorean Theorem or its converse in each situation.
Pythagorean Theorem
Converse
Anight triangle has sides
of length 3 cm and 4 cm.
What is the length of its
hypotenuse?
A triangle has sides of
length 10 m, 15 m, and 8 m,
Is it a right triangle?
A square has sides of length
2 om. What is the length of
its diagonal?
A right triangle has one side
that is 15 ft. Its hypotenuse
is 17 ft. How long is the
other side?
Find the value of x in the triangle below
Answer:
50
Step-by-step explanation:
a triangle's angles add up to 180 degrees.
100-80=100
since two of the sides are the same length, the two angles must also be the same so you just divide 100 by two
100/2=50
Isabella earned $129.60 at her job when she worked for 6 hours. How much money
did she earn each hour?
Answer:
21.6
Step-by-step explanation:
you divide 129.60 by 6 and you get 21.6.
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 97, and the sample standard deviation, s, is found to be 13. (a) Construct a 90% confidence interval about μ if the sample size, n, is 27. (b) Construct a 90% confidence interval about μ if the sample size, n, is 18. (c) Construct an 80% confidence interval about μ if the sample size, n, is 27. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
a) 90% confident that the true population mean μ is between 91.01 and 102.99.
b) 90% confident that the true population mean μ is between 92.26 and 101.74.
c) 80% confident that the true population mean μ is between 93.79 and 100.21.
d) Using Central Limit Theorem to approximate the population mean as normally distributed, the confidence intervals can still be computed using the same formula as before.
(a) To construct a 90% confidence interval about μ when n = 27, we use the formula:
x ± z × (s/√n)
where x is the sample mean, s is the sample standard deviation, n is the sample size, and z is the z-score that corresponds to the desired confidence level (in this case, z = 1.645 for a 90% confidence level). Plugging in the values given, we get:
97 ± 1.645 × (13/√27)
which simplifies to:
(91.01, 102.99)
Therefore, we are 90% confident that the true population mean μ is between 91.01 and 102.99.
(b) To construct a 90% confidence interval about μ when n = 18, we use the same formula as before, but with a different z-score (since the sample size is smaller). In this case, we use z = 1.734, and we get:
97 ± 1.734 × (13/√18)
which simplifies to:
(92.26, 101.74)
Therefore, we are 90% confident that the true population mean μ is between 92.26 and 101.74.
(c) To construct an 80% confidence interval about μ when n = 27, we use the same formula as before, but with a different z-score (since the confidence level is different). In this case, we use z = 1.282, and we get:
97 ± 1.282 × (13/√27)
which simplifies to:
(93.79, 100.21)
Therefore, we are 80% confident that the true population mean μ is between 93.79 and 100.21.
(d) The confidence intervals in parts (a)-(c) assume that the population is normally distributed. If the population is not normally distributed, we cannot rely on these intervals to accurately estimate the true population mean. However, if the sample size is sufficiently large (usually n > 30), we can use the Central Limit Theorem to approximate the population mean as normally distributed, and the confidence intervals can still be computed using the same formula as before. If the sample size is small and the population is not normally distributed, other methods may be needed to construct a confidence interval, such as bootstrapping or using a non-parametric approach.
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jay has an album that holds 900 photos. Each page of the album holds 9 photos. If 67 % of the album is empty, how many pages are filled with photos?
A, B, and C are collinear points C is the midpoint of AB AC = 5x - 6 CB = 2x Find AB
Answer:
AB = 8
Step-by-step explanation:
Since C is the midpoint, ...
AC = CB
5x -6 = 2x
3x = 6 . . . . . . . add 6-2x
x = 2
Then the length of AB is ...
AB = 2(CB) = 2(2x) = 4(2)
AB = 8
I don"t remember how to do this, I just need where this negative fraction belong to.
Answer:
-3
Step-by-step explanation:
divide top by bottom
-18 / -6 = -3
which makes -18/6 have a whole number of -3
<3 Enjoy,
Dea
Awnser
-3
Step-by-step explanation:
because if you simplify -18/6 you get 3
Bought 16 packs of cola each pack had 6 cans he drank 9 cans how many are left?
Answer:
87
the pack is 16 and there are 6 cans in the pack and he drank nine
16*6-9
Find an exact value of sin(17pi/12)
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
\(\frac{(17)(3.141593)}{12}\)
= \(\frac{53.407075}{12}\)
= \(4.45059\)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
Also Have a great day/night!
❀*May*❀
I have an answer and explanation but I can't type so search up the question you asked and you should get an answer and explanation from s0cratic.
24
A
Step 1
Algebra 1
1A: 2198 262 2A:
3A:
Topic 6-Quadratic Functions - Assessment 2 Retake A
4A:
Here is a pattern of squares.
2. Draw a diagram to show that 5(x+2) = 5x + 10.
Step 2
Step 3
3A: Write an expression for step n of this pattern:
2A: Is this pattern linear, exponential, or quadratic?
How do you know?
5A:
revenue (dollars)
1000
800
600
400
200
Name Marc burke
2 4 6 8 10 12 14 16 18 20
price (dollars)
Use the graph to answer the following question:
5A: What is the domain of this graph?
loodsholt tohut 69
The function of the sequence is T(n) = n² + n and it is quadratic
The domain of the graph is [0, 18]
The expression for the n-th termFrom the question, we have the following parameters that can be used in our computation:
Step Cells
1 2
2 6
3 12
From the table, we have
T(n) = n * (n + 1)
This gives
T(n) = n² + n
Hence, the function is T(n) = n² + n
The sequence typeThe sequence T(n) = n² + n is a quadratic sequence
The domain of the graphThis is the set of the x values
From the graph, we have
x = 0 to 18
So, we have
Domain = [0, 18]
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Direct mail advertisers send solicitations ("junk mail") to thousands of potential customers in the hope that some will buy the company's product. The response rate is usually quite low. Suppose a company wants to test the response to a new flyer and sends it to 1030 people randomly selected from their mailing list of over 200,000 people. They get orders from 103 of the recipients.
Required:
Create a 95% confidence interval for the percentage of people the company contacts who may buy something. (Show your work. Step by step)
Answer:
The interval is (.0817, .118).
Step-by-step explanation:
Let's make this interval! The easy way is to go to STAT->TEST->A, 1-prop z-int, but I will show the long way.
1. Conditions
First we must check the conditions.
Randomization condition: The sample is given to be random, so we can assume independence.
Success/failure condition: Both np>10 and nq>10 must be met.
np = 1030(103/1030) = 103 ✓ nq = 1030(927/1030) = 927 ✓10% condition: The sample cannot be greater than 10% of the population.
10n < N, 10(1030) < 200000 ✓All conditions are met, so we can use a 1-proportion z-interval to represent the data.
2. Mechanics
Find \(\hat{p}\), the sample proportion.
103/1030 = .1
\(\hat{q}\), then, the probability of not p, is 1 - .1 = .9
Find z* (z star), the critical z-value.
You can do this on your calculator using 2nd->VARS->3 (or you can memorize it - it's 1.96. Winky face.) This is called the invNorm function, that takes the left side area under the normal curve. But what do we plug in to the invNorm function?
invNorm(.975) = 1.96
Plug values into the equation.
\(\hat{p}\) ± z*\(\sqrt{\frac{\hat{p}\hat{q}}{n} }\)
.1 ± 1.96\(\sqrt{\frac{.1*.9}{1030} }\)
.1 ± 1.96(.00935)
.1 - .0183 = .0817
.1 + .0183 = .118
(.0817, .118)
3. Conclusion
Based on this sample, we are 95% confident that the proportion of people the company contacts who may buy something is between .0817 and .118. That isn't very likely, but maybe they'll make a little profit!
Someone pls help me with this
The measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees
Calculating the measures of the angles a to dFrom the question, we have the following parameters that can be used in our computation:
The circle and its properties
The angle in a semicircle is 90 degrees
So, we have
d = 90
Using the properties of angles, we have
a = 1/2 * 76
a = 38
Also, we have
a + b + d = 180 --- sum of angles in a triangle
So, we have
38 + b + 90 = 180
This gives
b = 52
Using the properties of angles, we have
b = 1/2 * c
52 = 1/2 * c
c = 104
Hence, the measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees
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What is the length of the hypotenuse of the right triangle shown below? Type your answer as an integer. A right triangle has two sides of length 3 and 4.
Answer:
5
Step-by-step explanation:
This is the Pythagorean theorem:
\(a^{2} +b^{2} =c^{2}\)
The hypotenuse is c so we need to make c the subject:
\(c = \sqrt{a^{2}+b^{2} }\)
To do this I simply square rooted both sides.
Now we substitute values given to get the answer of the hypotenuse:
\(c = \sqrt{3^{2} + 4^{2} }\)
\(c = \sqrt{9+16}\)
\(c = \sqrt{25}\)
c=5
The lengths 3,4,5 of a triangle are known as a Pythagorean triple.
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².
This graph shows a proportional relationship.
What is the constant of proportionality?
The constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.
A proportional relationship is a mathematical equation that expresses two variables that are in proportion to one another. In this type of relationship, if one variable is multiplied by a certain constant factor, then the other variable will be multiplied by the same constant factor. For example, if the cost of 3 books is $15, then the cost of 6 books will be $30. In this case, the number of books and the cost of the books are in proportion to one another.
The constant of proportionality is the constant factor by which the two variables are multiplied to obtain each other. In other words, it is the ratio between the two variables that remain constant in a proportional relationship. It can be represented by the letter k, and is calculated by dividing one variable by the other.
To find the constant of proportionality from a graph, we need to look at the slope of the line. The slope is the ratio between the change in the y-values and the change in the x-values, which is also known as the rise over run. If the graph shows a proportional relationship, then the slope will remain constant throughout the graph.
For example, if the graph shows the relationship between the number of hours worked and the amount of money earned, and the slope is 10, then the constant of proportionality is 10. This means that for every hour worked, the person earns $10. The equation for this proportional relationship can be written as y = 10x, where y represents the amount of money earned and x represents the number of hours worked.
In conclusion, the constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.
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Please someone help and stop giving me links!!! No false answers!! Explanation
Determine which conic section is represented based on the given equation: 4x^2+9xy+4y^2-36y-125=0
The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle
Selecting the conic section of the equationThe given equation is
4x² + 9xy + 4y² - 36y - 125 =0
The above equation is an illustration of a circle equation
The standard form of a circle equation is
(x - a)² + (y - b)² = r²
Where
(a, b) is the center
r is the radius
While the general form of the equation is
ax² + fx + by² + gy + c =0
Where c is a constant
Recall that, we have
4x² + 9x + 4y² - 36y - 125 =0
This is the general form
We can convert to the standard form as follows
Divide through by 4
x² + 2.25x + y² - 9y - 31.25 =0
Next, we complete the square of the x-terms and the y-terms
For the x-terms, we have
x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²
x² + 2.25x = (x + 2.25/2)² - (2.25/2)²
For the y-terms, we have
y² - 9y = y² - 9y + (9/2)² - (9/2)²
y² - 9y = (y - 9/2)² - (9/2)²
Substitute the new x and y terms
So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes
(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0
Evaluate the sum of like terms
(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0
So, we have
(x + 9/8)² + (y - 9/2)² = 3377/64
Using the above as a guide, we can conclude that the conic section of the equation is a circle
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An assembly line consists of 21 tasks grouped into 5 workstations. The sum of the 21 task times is 85 minutes. The largest assigned cycle time is 20 minutes. What is the efficiency of this line
Answer:
The efficiency of this line is 0.85 = 85%.
Step-by-step explanation:
Efficiency:
The efficiency is given by the following formula:
\(E = \frac{T_t}{tn}\)
In which \(T_t\) is the total task time, \(t\) is the largest assigned cycle time and n is the number of workstations.
5 workstations
This means that \(n = 5\)
The sum of the 21 task times is 85 minutes.
This means that \(T_t = 85\)
The largest assigned cycle time is 20 minutes.
This means that \(n = 20\)
What is the efficiency of this line?
\(E = \frac{T_t}{tn} = \frac{85}{20*5} = \frac{85}{100} = 0.85\)
The efficiency of this line is 0.85 = 85%.
A coat and a pair of boots are on sale for 20% off. the regular price of the coat is 225$. the regular price of the boots is 130$. find the sale price of the coat. Explain. What is the sale price of the boots?
The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now on sale.
Given that,
20% off a coat and a pair of boots are now on sale. The coat normally sells for $225. The boots cost $130 on the open market.
We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,
The formula for the sales price is S = P - PD
Where, S is sales price, P is the original price and D is the discount percent.
P = 225 and D = 20%
S = 225 - 225 × 20%
S = 225 - 45
S = $180 is the sale price of coat.
Now,
Total regular price = 225 + 130 = 355
S = 355 - 355 × 20%
S = $284 is the sale price of boots.
Therefore, The sale price of coat is $180 and the sale price of boot is $284.
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Multiply (7y + 11z)(7y – 11z)
A.)7y² – 121z²
B.)-7y² + 121z²
C.)7y² + 121z²
D.)-7y² – 121z²
Help! im not sure with my answer
-''-
Answer:
none of the above.
the leasing coefficient needs to be 49.
The graph of the function f(x) = (x-4)(x + 1) is shown
below.
Which statement about the function is true?
O The function is increasing for all real values of x
where
x < 0.
O The function is increasing for all real values of x
where
x < -1 and where x > 4.
O The function is decreasing for all real values of x
where
-1
O The function is decreasing for all real values of x
where
x < 1.5.
The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.
Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).
The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.
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(SAT Prep) Find the value of x.
x 105 35
Angles in a triangle add up to 180 degrees
The value of x is 85 degrees
What is triangle?A triangle is a polygon which has three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.
here, we have,
How to determine the value of x
The total sum of angles for a triangle is 180 degrees.
So, we have:
x + 35 + 60 = 180
Evaluate the sum
x + 95= 180
Subtract 95 from both sides
x = 85
Hence, the value of x is 85 degrees
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Full question: (SAT Prep) Find the value of x. 35° 60° X
x=?
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Given the circle below with chords FG and HI. Find the length of FJ. Round to the nearest tenth if necessary. 9-4 H 21 F J 26 25 G T
Based on the information, EFH and GHF does not have to be congruent.
What are congruent angles?Congruents angles are presented in the figure below. Congruent angles are angles that have the same measure or size. When two angles are congruent, they look exactly the same, even if they are in different orientations.
The symbol used to represent congruence is an equals sign with a tilde above it, like this: ≅. For example, if angle A and angle B have the same measure, we can write it as:
angle A ≅ angle B
Congruent angles play an important role in geometry because they allow us to compare and analyze different shapes and figures. In particular, when two angles are congruent, we can use this fact to make conclusions about other angles and sides of a shape.
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In circle O shown, points E, F, G, and H lie on the circle asshown and chords FH and GE intersect at J. Based on thisinformation alone, which two angles below do not have tobe congruent?m(1) angle FJE and angle HJG(2) angle EFH and angle HGE(3) angle EFH and angle GHF(4) angle FEG and angle FHG
Select the correct answer.
If no denominator equals zero, which expression is equivalent to 15/x-6 + 7/x+6?
A.
OB.
OC.
OD.
22 +132
²36
22-48
236
22
C.36
22 +48
²36
The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).
Given expression is,
[15 / (x - 6)] + [7 / (x + 6)]
Cross multiplying the two fractional expressions,
= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]
= [15x + 90 + 7x - 42] / [x² - 6²]
= (22x + 48) / (x² - 36)
Hence the equivalent expression is D.
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5 to the power of 2 + 2 to the power of 2 =?
Answer:
the answer is 36
Step-by-step explanation:
classify the segment in each part below. only use the information given in the figure do not assume measures are equal unless the markings indicate they are
Answer:
i dont know i just need points for more questions sorry
Step-by-step explanation:
The number of unique visitors to the college website can be approximated by the formula N(t)=410(1.32)t where t represents the number of years after 1997 when the website was created. Approximate to the nearest integer the number of unique visitors to the college website in the year 2020.
Answer:
243212
Step-by-step explanation:
Substitute the given value of t into the given formula. To find t, subtract 1997 from 2020.
2020−1997=23
Now substitute 23 into the equation for t and calculate.
N(t)N(23)==≈410(1.32)t410(1.32)23243,212
The number of unique visitors to the college website in the year 2020 was approximately 243,212.
Given )= 10-2x, find f(7). O 4 O3 O7 O56
Answer:
-4
Step-by-step explanation:
f(x)= 10-2x,
Let x=7
f(7) =10 -2*7
= 10-14
= -4
please help asap!!!What is the value of angle D?
Hint: Angle D and the 68° angle are corresponding angles.
Answer:
112 degrees
Step-by-step explanation:
Since D and 68 degrees need to form 180 degrees, you would take the total sum that you would need, and subtract 180-68= 112 degrees, and that would be the answer
Solve the system of equations
y=-8x-6
y=-3x-1
Answer:
2,1
Step-by-step explanation:
x=2 and y=1