Answer:
Climate indirectly affects soil formation through its influence on organisms as well. High temperatures and rainfall increase the degree of weathering and therefore the extent of soil development. Increase of rainfall increase organic matter content, decrease pH, increase leaching of basic ions, movement of clay etc.
Step-by-step explanation:
Hope this helps! :D
In how many ways could nine people be divided into two groups of two people and one group of five people?
Nine people could be divided into two groups of two people and one group of five people ways.
(Type a whole number.)
Answer:
your can only divide then up in that specific sequence one time
Select the correct answer
What is the inverse of the function f(x)=x+1/x
Answer:
\(\boxed{\mathrm{B}}\)
Step-by-step explanation:
\(f(x)=\frac{x+1}{x}\)
\(y=\frac{x+1}{x}\)
Make x as subject.
Multiply both sides by x.
\(yx=x+1\)
Subtract both sides by x.
\(yx-x=1\)
Factor out x.
\(x(y-1)=1\)
Divide both sides by y-1.
\(x=\frac{1}{y-1}\)
Switch variables.
\(y=\frac{1}{x-1}\)
Answer:
\( {f}^{ - 1} (x) = \frac{1}{x - 1} \)Option B is the correct option.
Step-by-step explanation:
Let y = f ( x )
\(y = \frac{x + 1}{x} \)
Apply cross product property
\(xy = x + 1\)
Move 'x' to L.H.S and change it's sign
\(xy - x = 1\)
Take x as common
\(x(y - 1) = 1\)
\(x = \frac{1}{y - 1} \)
Replace x by f ⁻¹(x) and y by x
\( {f}^{ - 1} (x) = \frac{1}{x - 1} \)
Hence, Option B is the correct option.
Hope this helps..
Best regards!!
(6x^2+10x-7) + (-x^2-8x)
For the given expression, the addition of coefficients is \(5x^2 + 2x - 7\).
What are coefficients?In algebra, a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. In other words, it is the number that is being multiplied by the variable.
What is addition?Addition is a basic mathematical operation that combines two or more numbers or quantities to produce a sum. It is denoted by the plus sign (+). When two or more numbers are added, the result is called the sum or total.
According to given information:First, we need to combine like terms by adding the coefficients of terms with the same variable(s) raised to the same power.
\((6x^2 + 10x - 7) + (-x^2 - 8x)\)
\(= 6x^2 + (-x^2) + 10x + (-8x) - 7\) (grouping like terms together)
\(= (6x^2 - x^2) + (10x - 8x) - 7\) (rearranging terms)
\(= 5x^2 + 2x - 7\) (combining the coefficients)
Therefore, the final answer for the addition of coefficients is \(5x^2 + 2x - 7.\)
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HELP ASAP 15 POINTS!!!
What is the solution to this equation?
6(x-5)=4x+20
Answer:
x = 25Step-by-step explanation:
What is the solution to this equation?
6 * (x - 5) = 4x + 20
6x - 30 = 4x + 20
2x = 20 + 30
2x = 50
x = 50 : 2
x = 25
-------------------
check
6 * ( 25 - 5) = 4 * 25 + 20
6 * 20 = 100 + 20
120 = 120
the answer is good
Answer:
x=25Step-by-step explanation:
6(x-5) 4x+20
Distribute.
6x-30 = 4x+20
Subtract 4x from each side.
6x-4x-30 = 4x-4x+20
Simplify.
2x-30=20
Add 30 to both sides.
2x-30+30 = 20+30
Simplify.
2x = 50
Divide both sides by 2
2x/2 = 50/2
Simplify
x = 25
So, x = 25!
Math Problem 30 points please help
Answer: One solution
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
they intersect at 1 point
Give the following number
in Base 10.
F16 = [? ]10
The next decimal number should be changed to hexadecimal. Your final response may contain up to six fractional digits. In decimal 386210, subscript 10 to F16.
How do you write a number in base 10?F16 is 001000011000.1111. 218. F716 is 001000011000.111101112. 710 = (h0)16 = 716 is how the hexadecimal number is represented. It is necessary to add a 1 to the left and modify the number for both to 0. In base-2, the numeral 15 is represented as 1111, and the number 16 is represented as 10000. The greatest value in base-16 is the letter F, in a similar vein. such that 10 is the new value.
Binary 10 equals 1010, thus. Dividing 10 by 2 successively until the quotient equals 0 will yield the decimal to binary equivalent. By writing the remainder in each division step from bottom to top, it is possible to determine the binary equivalent.Base-16 is the definition given to hexadecimal. There are many powers of 16 in each place value in the number. The hexadecimal numbers are: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. 10 through 15 are represented, accordingly, by the letters A through F.
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PLEASE HELP!
whoever answers right get brainliest!!!
Answer:
FIRST ONE "Deb sold vases for two years, neither sold nor bought the next year and then sold bases for two more years"
Step-by-step explanation:
Notice the number of bases in debs collection is DECREASING as the years passes for the first and third period. This is she is selling her vases but in the middle the number is the same (two point in the same horizontal line) this means she neither sold nor bought any vase in that period.
The regression equation y = 4x + 20 approximates the number of people attending a picnic, y, given the number of flyers used to advertise it, x. Which statement is true?
Complete question :
The regression equation y = 4x + 20 approximates the number of people attending a picnic, y, given the number of flyers used to advertise it, x.
Which statement is true?
a.) For every extra person attending a picnic, the number of flyers used to advertise it increases by 20.
b.) For every extra person attending a picnic, the number of flyers used to advertise it increases by 4.
c.) For every extra flyer used in advertising, the attendance increases by 20 people.
d.) For every extra flyer used in advertising, the attendance increases by 4 people.
Answer: d.) For every extra flyer used in advertising, the attendance increases by 4 people.
Step-by-step explanation:
Given the regression equation; y = 4x + 20;
Where y = number of people attending a picnic
x = number of flyers used to advertise it
In the equation;
y = predicted variable ; x = predictor variable ; gradient or slope = 4
The slope or gradient is the rate of change un the response variable with respect to a unit change in the independent variable.
Here, the slope value is +4 and is thus interpreted to mean that, for each 1 unit change in the independent variable (number of flyers shared), there is a corresponding increase in the response variable (number of attendees) by a unit of 4.
Answer:
d.) For every extra flyer used in advertising, the attendance increases by 4 people.
Step-by-step explanation:
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
What fraction of a dollar is shown below?
1 quarter, 1 dime and 1 nickel
Answer:
25+10+5=40
Step-by-step explanation:
A teacher has a 2-gallon (52 cup) container of juice. She gives each student z cup of juice. Which equation represents the amount of juice that remains, y, after x students are served?
Answer:
\(y = 32 - \frac{1}{2}x\)
Step-by-step explanation:
Given
\(Cups = 32\) ---- not 52
\(Students = x\)
\(Remainder = y\)
\(Each = \frac{1}{2}\) --- not z
Required
The equation for y
The remainder y is calculated as:
\(y = Cups - Students * Each\\\)
\(y = 32 - \frac{1}{2}x\)
Simplify and solve the equation
Answer:
y=6
Step-by-step explanation:
y+6 3
----- = ----
8 2
2(y+6)=8(3)
2y+12=24
2y=24-12
2y = 12
---- ----
2 2
therefore y=6
Answer:
it will be 6 im 100%
Step-by-step explanation:
y=6
one ride on a city bus costs $1.50. Martina has $18 on her bus pass. Write and solve an equation to find how many rides she can take without loading more money on her bus pass.
The figure below displays the SAT scores of three students, but each chart looks different. The two charts have the same data, but the difference seems larger for the graph on the left. Why?
Answering the presented question, we may conclude that This greater expressions scale makes it easier to see the variations between the ratings of the three college students in a extra correct and informative way.
what is expression ?In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.
The difference in look between the two charts is due to the choice of the scales on the x and y-axes. In the left chart, the y-axis starts offevolved at 800 and has a range of only 200 points, whilst the x-axis starts offevolved at 1300 and has a vary of 200 points. This compressed scale makes the variations between the ratings of the three students appear larger than they absolutely are.
On the other hand, the proper chart has a y-axis that starts at zero and has a vary of 800 points, whilst the x-axis begins at 1200 and has a range of 800 points. This greater expanded scale makes it easier to see the variations between the ratings of the three college students in a extra correct and informative way.
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Find the distence between each pair points (-4,-1) (-3,3)
Answer:
4.1231 or 4
Step-by-step explanation:
Solve the inequation x - 12 ≤ 3 - 2x and graph its solution.
Let's do these one-by-one.
The solution to x - 12 ≤ 3 - 2x is:
Answer:
Step-by-step explanation:
x - 12 ≤ 3 - 2x
3x ≤ 15
x ≤ 5
To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT
you estimate the mean sat score for a population of students with a 90% confidence interval. assume that the population standard deviation is 100 if you want the marinof error to be no more than 10 you will need a minimum sample size of approximately
a.1476
b. 38
c.100
d.271
Rounding up the result to the nearest integer, we get the minimum sample size required as 271. Correct option is D.
To estimate the mean SAT score for a population of students with a 90% confidence interval, we need to determine the minimum sample size required to achieve a maximum margin of error of 10, assuming that the population standard deviation is 100.
The formula to calculate the sample size required is:
n = [(zα/2 * σ) / E]^2
Where:
zα/2 is the z-value for the desired confidence level (90% confidence interval in this case) = 1.645
σ is the population standard deviation = 100
E is the maximum margin of error = 10
Substituting the values in the formula, we get:
n = [(1.645 * 100) / 10]^2 = 270.7225
Therefore, option (d) is the correct answer.
In summary, to estimate the mean SAT score for a population of students with a 90% confidence interval and a maximum margin of error of 10, we need a minimum sample size of approximately 271 students, assuming that the population standard deviation is 100.
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Prove that (- 1 + i)^7 = -8(1 + i)
Convert \(-1+i\) to polar form.
\(z = -1 + i \implies \begin{cases}|z| = \sqrt{(-1)^2 + 1^2} = \sqrt2 \\\\ \arg(z) = \pi + \tan^{-1}\left(\dfrac1{-1}\right) = \dfrac{3\pi}4 \end{cases}\)
By de Moivre's theorem,
\(\left(-1+i\right)^7 = \left(\sqrt2 \, e^{i\,\frac{3\pi}4}\right)^7 \\\\ ~~~~~~~~ = \left(\sqrt2\right)^7 e^{i\,\frac{21\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \, e^{-i\,\frac{3\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \left(\cos\left(\dfrac{3\pi}4\right) - i \sin\left(\dfrac{3\pi}4\right)\right) \\\\ ~~~~~~~~ = 8\sqrt2 \left(-\dfrac1{\sqrt2} - \dfrac1{\sqrt2}\,i\right) \\\\ ~~~~~~~~ = -8 (1 + i)\)
QED
12 = z divided by 0.25
Answer:
z=3
Step-by-step explanation:
PLEASE HELP IM SO CONFUSED
Answer:
Lake Carters, Lake Amistad, Lake Alamo
Step-by-step explanation:
Starting with lake Alamo:
current level: 1,080
Full pool: -48.5
This indicates that the level is currently 48.5 feet below a full pool
Therefore, the level of it as a full pool is 1,080 + 48.5, or 1,128.5 feet
Lake Amistad:
Current Level: 1,038
Full pool: -7.1%
This indicates that the level is currently 7.1% below a full pool
subtract 7.1% from 100%
100-7.1=92.9
Percent formula:
P% * X = Y
P = 92.9
Y = 1038
X = 1038 / 92.9%
X = 1117.33
Full pool = 1117.33
Lake Carters
Current level: 1078
Full pool: + 60/13
This indicates that the level is currently 60/13 above a full pool
60/13 = 4.62
1078 - 4.62 = 1073.38
full pool = 1073.38
So, the order is Lake Carters, Lake Amistad, Lake Alamo
We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
Answer: The answer to your question is C. Brainliest?
Step-by-step explanation:
For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:
2/12 = (2 x 5) / (12 x 5) = 10/60
For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:
2/15 = (2 x 4) / (15 x 4) = 8/60
Now, we can add the two fractions:
10/60 + 8/60 = 18/60
Simplifying this fraction by dividing both numerator and denominator by 6, we get:
18/60 = 3/10
Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.
The answer is C. 0.3.
How would you graph the solutions to the inequality on a number line? k > 5
To graph the inequality k > 5 on a number line, mark an open circle at 5 and shade the region to the right.
To graph the solutions to the inequality k > 5 on a number line, follow these steps:
Draw a horizontal line and mark a point for the number 5 on the line.
-------------------|---|---|---|---|---|---|---|---|---|---|
0 1 2 3 4 5 6 7 8 9 10
Since the inequality is k > 5, the solution includes all values greater than 5. Therefore, draw an open circle (○) at the number 5 to represent that 5 itself is not included in the solution.
-------------------|---|---|---|---○---|---|---|---|---|---|
0 1 2 3 4 5 6 7 8 9 10
Shade the region to the right of the open circle. This shading represents all values that are greater than 5 and satisfy the inequality k > 5.
-------------------|---|---|---|---○===================>
0 1 2 3 4 5 6 7 8 9 10
The resulting number line graph illustrates that any value to the right of the open circle (excluding 5 itself) satisfies the inequality k > 5.
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find the arc length?
The length of the Arc of the circle is 17.00 units
How to find the length of arc?We should know that the arc of the circle is part of the circumference of the circle cut off by the radii of the circle.
The length of the arc is given by
L=\(\frac{A}{360} *2*\pi *r\) where A= angle made by the radii
\(\pi\)=3.14, radius =10, L-length of arc = x
Applying the values in the formula we have
x=(x/3*2*3.14*10)÷360
Simplifying the expression
62.8x=1080x
Taking the ratio of both sides we have
62.8x:1080x
= 17.00 units
Therefore the length of the arc is 17.00 units
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Write using an exponent: 1×7×7×7×7×7a. 1×7×5b.\(1 \times {7}^{5} \)c. \(1 \times {5}^{7} \)
In the expression, the number 7 is multiplied to itself 5 times or five 7's are multiplied with each other. So exponential expression for the equation is,
\(1\cdot7\cdot7\cdot7\cdot7\cdot7=1\cdot7^5\)Option B is correct.
During an economic downturn, 11 companies were sampled and asked whether they were planning to increase their workforce. Only 2 of the 11 companies were planning to increase their workforce. Use the small-sample method to construct an 80% confidence interval for the proportion of companies that are planning to increase their workforce. Round the answers to at least three decimal places.
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is _______ < p< ________
Answer:
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
Only 2 of the 11 companies were planning to increase their workforce
This means that \(n = 11, \pi = \frac{2}{11} = 0.182\)
80% confidence level
So \(\alpha = 0.2\), z is the value of Z that has a pvalue of \(1 - \frac{0.2}{2} = 0.9\), so \(Z = 1.28\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 - 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.033\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 + 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.331\)
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
Find solutions to the linear equation y=12x+24
Te solutions to the linear equation given as y = 12x + 24 are (0, 24), (1, 36) and (2, 48)
How to determine the solutions to the linear equation?From the question, the linear equation is given as
y = 12x + 24
To determine the solutions, we assume values for the variable x and then calculate the y values
Having said that, we have
y = 12x + 24
Set x = 0
So, we have
y = 12 x 0 + 24 = 24
Set x = 1
So, we have
y = 12 x 1 + 24 = 36
Set x = 2
So, we have
y = 12 x 2 + 24 = 48
So, the ordered pairs of the solutions are (0, 24), (1, 36) and (2, 48)
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The ability to influence another is a function of ______
= Dependency
Step-by-step explanation:
The ability to influence another is a function of dependency hahahaja
show that the volume of the unit cube is one
Check the picture below.
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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In a quiz, positive marks are given for correct answers and
negative marks are given for incorrect answers. If Jack ‘s scores
in five successive rounds were 25, -5, -10,15 and 10, what was his
total at the end?
Answer:
35
Step-by-step explanation:
just trust me its the total
Answer:
35
Step-by-step explanation:
25-5=20
20-10=10
10+15=25
25+10=35