\(\dfrac{40}{0.01}\\\\\\=\dfrac{40}{\tfrac 1{100}}\\\\\\=40 \times 100\\\\\\=4000\)
if a farm that’s for sale measures one and three-quarter square miles, how many acres is it?
The farm for sale measures 1120 acres.
How many acres are equivalent to one square mile?
1 square mile= 640 acres.
To convert square miles to acres, we need to know that there are 640 acres in one square mile.
Given that the farm for sale measures one and three-quarter square miles, we can calculate the number of acres as follows:
1 and 3/4 square miles = 1.75 square miles
Number of acres = 1.75 square miles * 640 acres/square mile
Number of acres = 1120 acres
Therefore, the farm for sale measures 1120 acres.
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What is (gof)(x) if f(x) = 3x - 1 and g(x) = 4x² + 9?
Step-by-step explanation:
(gof)(x) is basically g(f(x))
= 4 × (3x - 1)² + 9
= 4 × (9x² - 6x + 1) + 9
= 36x² - 24x + 4 + 9
= 36x² - 24x + 13
If there was a button that had a 1% chance of giving you a dollar every time you pushed it, what are the odds that you would receive no money after pushing it 300 times?
According to the percentage,There are the three(3) odds that you would receive no money after pushing it 300 times.
According to the statement
we have to find that the odds that you would receive no money after pushing it 300 times.
So, For this purpose, we know that the
A percentage is a number or ratio expressed as a fraction of 100.
From the given information:
There is a 1% chance of giving you a dollar every time you pushed it
And the times we push the button is a 300 times.
Then
the odds that you would receive no money after pushing it 300 times
And for this
The chances that we would not receive money = 1/100*300
The chances that we would not receive money = 0.01*300
The chances that we would not receive money = 3.
So, According to the percentage,There are the three(3) odds that you would receive no money after pushing it 300 times.
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divide the sum of 15 and 16 by 5
Answer:
6.2
Step-by-step explanation:
15+16=31
31/5=6.2
Step-by-step explanation:
\(15 + 16 \div 5 \\ calculate \: the \: sum \: of \: 15 \: and \: 16 \\ 31 \div 5 = 6 \frac{1}{5} \\ or \: 6.2\)
If f(x)=2x−3 (x∈ R), and g(x)=3x+1 (x∈ R). Find the function : (f∘g∘f)(x)
The function (f∘g∘f)(x) is given by 12x - 19.
We have,
To find the function (f∘g∘f)(x), we need to evaluate the composition of the three functions f, g, and f in that order.
Starting with the innermost function, (g∘f)(x), we substitute f(x) into g(x):
(g∘f)(x) = g(f(x)) = g(2x - 3) = 3(2x - 3) + 1 = 6x - 9 + 1 = 6x - 8.
Now, we substitute this result into the outermost function f(x):
(f∘g∘f)(x) = f(g∘f(x)) = f(6x - 8) = 2(6x - 8) - 3 = 12x - 16 - 3 = 12x - 19.
Therefore,
The function (f∘g∘f)(x) is given by 12x - 19.
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Which statement are true about the solution of 15 > 22 + x 3 options
Based on the inequality 15 > 22 + x, the true statements about the solution of the inequality 15 > 22 + x are:
XS-7
Based on the inequality 15 > 22 + x, let's solve it step by step to determine which statements are true about its solution.
First, we can simplify the right side of the equation: 22 + x.
To isolate x, we subtract 22 from both sides of the inequality: 15 - 22 > 22 + x - 22, which becomes -7 > x.
Now, let's analyze the given options:
OX-7: This statement implies that x is less than or equal to -7. However, the inequality we derived shows that x is greater than -7, not less than or equal to it. Therefore, this statement is false.
XS-7: This statement implies that x is greater than or equal to -7. According to the inequality, x is indeed greater than -7. Therefore, this statement is true.
The graph has a closed circle: In inequalities, a closed circle is used when the boundary value is included in the solution set. In this case, the boundary value is -7. However, the inequality we derived (-7 > x) shows that -7 is not part of the solution. Therefore, this statement is false.
U -6 is part of the solution: The value -6 is not directly related to the inequality, so we cannot determine its inclusion in the solution. Thus, this statement cannot be evaluated as true or false based on the given information.
O-7 is part of the solution: As mentioned earlier, -7 is not part of the solution since the inequality is -7 > x. Therefore, this statement is false.
In summary, the true statements about the solution of the inequality 15 > 22 + x are:
XS-7.
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Simplify the following cube root: cube root( 54x^6)
Answer:
3x²·\(\sqrt[3]{2}\)
Step-by-step explanation:
∛54x^6 = √(3)³ · 2 · x³ · x³ = 3x²· ∛2
will give brainliest if it is the correct answer and explained and a lot of points
Answer:
18
Step-by-step explanation:
Area = base x height
So you would start by multiplying you 2 side lengths given:
Area = 2 sqrt 3 x sqrt 27
2 sqrt 3 x sqrt 27 = 18
Once multiplied, you will get you area. Which is 18 units squared.
It takes at least 3 lines to make a closed figure true or false
Answer:
true
Step-by-step explanation:
cant make a triangle with only two lines
How do I find the slope of the line?
Answer:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Step-by-step explanation:
yeah
Answer:
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
I don't know if you want an example?
the department of education wishes to estimate the proportion of all college students who have a job off-campus. it surveyed 1600 randomly selected students; 451 had such jobs. the population of interest to the department of education is:
The population of interest to the department of education will be all college students.
A population is a large group of individuals that have some common feature by the researcher's point of interest.
Here the Department of Education wishes to estimate the proportion of all college students who have a job off-campus.
Proportion: A proportion is an equation in which two ratios are set equal to each other. If there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4).
So , he needs data of all students to compute the exact proportion.
But instead of that he surveyed 1600 randomly selected students which determine the sample.
Sample just gives the estimate of the parameter.
Hence, the population of interest to the Department of education is " All college students" .
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11. The Red Trail is 34 miles long. The Blue Trail is 8 times as long as the Red Trail.
A. A group finished hiking > rain. What is the distance 5 of the Red Trail when it started to is
that they hiked before it started to rain? Show your work.
B. The group planned on hiking the Blue Trail after hiking the Red Trail. How far did the
group plan on hiking? Show your work.
91
The group finished hiking before it started to rain. Therefore, they hiked the entire length of the Red Trail which is 34 miles.
The problem states that the Red Trail is 34 miles long and the group finished hiking before it started to rain. This means that they hiked the entire length of the Red Trail before the rain started. Therefore, the distance they hiked before it started to rain is 34 miles.
The Blue Trail is 272 miles long.
The problem states that the Blue Trail is 8 times as long as the Red Trail. To find the length of the Blue Trail, we need to multiply the length of the Red Trail by 8.
8 x 34 miles (length of Red Trail) = 272 miles (length of Blue Trail)
Therefore, the group planned on hiking 272 miles on the Blue Trail after hiking the Red Trail.
The group hiked the entire length of the Red Trail which is 34 miles before it started to rain. They planned on hiking the Blue Trail which is 272 miles long after hiking the Red Trail.
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when group a loses an item or items to group b even though group a's population grew at a faster rate than group b's, the _______ paradox occurs.
When Group A loses an item or items to Group B even though Group A's population grew at a faster rate than Group B's, the Simpson's Paradox occurs.
This statistical anomaly happens when a trend appears in different groups of data, but disappears or reverses when the groups are combined. It is crucial to consider the context and variables involved when analyzing data, as the Simpson's Paradox may lead to incorrect conclusions if only aggregate data is examined.
This paradox serves as a reminder to always investigate the underlying factors that may influence statistical results.
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Select the correct answer.
Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets represent their
answers.
Class A: (2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5)
Class B: (3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6)
Which statement is true for the data sets?
O A
The mean study time of students in Class A is less than students in Class B.
OB.
The mean study time of students in Class B is less than students in Class A
OC. The median study time of students in Class B is greater than students in Class A
D. The range of study time of students in Class A is less than students in Class B.
OE
The mean and median study time of students in Class A and Class B is equal.
We can see here that the statement that is true for the data sets is: B. The mean study time of students in Class B is less than students in Class A
What are data sets?A dataset is a grouping of structured and ordered data that is typically displayed in tabular form. It may contain data about a certain subject and is employed for a variety of tasks, including research, analysis, and decision-making.
A dataset may be modest or large and contain a variety of data kinds, including text, numerical, and categorical data.
The given answer above is true because:
Mean study time for Class A = (2 + 5 + 7 + 6 + 4 + 3 + 8 + 7 + 4 + 5 + 7 + 6 + 3 + 5 + 4 + 2 + 4 + 6 + 3 + 5)/20 = 96/20 = 4.8 ≈ 5
Mean study time for Class B = (3 + 7 + 6 + 4 + 3 + 2 + 4 + 5 + 6 + 7 + 2 + 2 + 2 + 3 + 4 + 5 + 2 + 2 + 5 + 6)/20 = 80/20 = 4
Thus, we see that mean study time of students in Class B is less than students in Class A.
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The correct statement is The mean study time of students in Class B is less than students in Class A. Option B
What is the mean and median of a data set and how are they calculated?The mean and median are two measures of central tendency that tells of the value of a dataset.
You find the mean by adding up all the values in the dataset and dividing by the total number of values. This gives you the average value of the dataset. For example,
Class A mean is 2 + 5 + 7 + 6 + 4 + 3 + 8 + 7 + 4 + 5 + 7 + 6 + 3 + 5 + 4 + 2 + 4 + 6 + 3 + 5 = 96. 96/20 = 4.8
Class B mean is 3 + 7 + 6 + 4 + 3 + 2 + 4 + 5 + 6 + 7 + 2 + 2 + 2 + 3 + 4 + 5 + 2 + 2 + 5 + 6 = 80. 80/20 = 4
Class A media is 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8.
the middle figures are 5 and 5. We plus them and divide by to. It give use 5.
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Determine the exact value of each of the following expressions. Your answers should involve fractions and square roots, and not decimal values.cos(45∘)=sin(45∘)=tan(45∘)=cos(π/4)=sin(π/4)=tan(π/4)=
Given
Trigonometric function
Procedure
\(\begin{gathered} \cos (45)=\frac{\sqrt[]{2}}{2} \\ \\ \sin (45)=\frac{\sqrt[]{2}}{2} \\ \\ \tan (45)=1 \end{gathered}\)\(\pi/4=45\)\(\begin{gathered} \cos (\pi/4)=\frac{\sqrt[]{2}}{2} \\ \\ \sin (\pi/4)=\frac{\sqrt[]{2}}{2} \\ \\ \tan (\pi/4)=\frac{\sqrt[]{2}}{2} \\ \end{gathered}\)
Line L is tangent to the graph of y = ex at the point (k, ek y-intercept of L is 1/2 (A) 0.405 (B) 0.768 (C) 1.500 (D) 1.560 (E) There is no such value of k
Since x > 0, the tangent of f'(x) is always positive, and the denominator is always positive. Therefore, f'(x) is always positive, which means that f(x) is always increasing and can only cross the x-axis once. Hence, f(x) has only one root on its entire domain.
To find the y-intercept of line L, we need to determine the equation of line L.
Since line L is tangent to the graph of y = ex at the point (k, ek), the slope of line L must be equal to the slope of the tangent line to y = ex at (k, ek), which is simply ek.
Therefore, the equation of line L is:
y - ek = ek(x - k)
Simplifying, we get:
y = ekx - ek2
To find the y-intercept, we set x = 0 and solve for y:
y = ek(0) - ek2 = -ek2
Therefore, the y-intercept of line L is -ek2.
We need to find the value of k such that the y-intercept of line L is 1/2.
-ek2 = 1/2
Solving for k, we get:
k = ln(sqrt(2))
So the answer is (A) 0.405.
To prove that the function has only one root on its entire domain, we take the derivative of f(x) and show that it is always positive.
f(x) = ln(x) - 1/x
f'(x) = 1/x + 1/x^2 = (x+1)/x^2
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the answer is 5x2(2y + 5)
Answer:
4y + 15
Step-by-step explanation:
You do distributive property first so you will do 2*2y = 4y and you will also do 2*5=10 that then leaves you with 5x4y+15 now you combine like terms which is the 5 and 15 so your answer is 4y+15 (if i understood the question right)
The radius of a circle is 3 5/12 inches
What is the diameter of the circle?
Answer:
6 5/6
Step-by-step explanation:
diameter is radius multiplied by 2
* means multiplied by
3 5/12 = 41/12
41/12 * 2 = 82/12 = 6 5/6
Answer: 6 5/12
Step-by-step explanation: i just took the k12 test and this is the corret answer
every three minutes a bus is leaving the airport to drive to the city centre. a car leaves the airport at the same time as a bus und travels the same route as the bus to the city centre. every bus takes 60 minutes for the journey from the airport to the city centre, the car only 35 minutes. how many buses does the car overtake on its way to the city centre? the bus that starts at the same time as the car does not count.
The car οvertakes twο buses οn its way tο the city center with the given time and distance.
If the autοmοbile and the bus bοth mοved at the same pace, hοw wοuld the answer change?On its jοurney tο the city centre, the autοmοbile wοuld never pass any buses if it mοved at the same pace as the bus. This is due tο the fact that if bοth the autοmοbile and the bus are mοving at the same speed, their separatiοn will remain cοnstant. Hence, withοut passing any buses, the autοmοbile wοuld arrive in the city centre at the same time as the bus.
Let us suppοse the distance = p.
The distance travelled by the bus in 60 minutes is d/60.
The distance cοvered by the bus in 35 minutes is:
d/60(35)
Fοr the first bus:
It leaves 60 minutes befοre car, thus the distance travelled is:
(d/60) x 60.
If the car οvertakes thus bus by an additiοnal distance x, then the distance travelled by car is:
d = (d/60) x 35 + (d/60) x 60 + x
d = (5/12)d + x
x = 7/12 d
Fοr the secοnd bus:
The bus wοuld have left the airpοrt 120 minutes befοre the car:
(d/60) x 120
The distance cοvered by car with additiοnal distance y is:
d = (d/60) x 35 + (d/60) x 60 + (7/12)d + y
d = (5/6)d + y
y = 1/6d
The car οvertakes the bus thus,
(7/12)d + (1/6)d = d
d = 12/5
Therefοre, the car οvertakes twο buses οn its way tο the city centre.
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A soccer ball is kicked from the ground at an upwards velocity of 90 feet per second. The equation h(t)=-16t^(2)+90t gives the height of the ball after t seconds. How many seconds will it take for the ball to reach its maximum height?
I need help figuring this out to help my grade
Answer: 2.81 s
Step-by-step explanation:
Given
Ball is kicked upward with velocity \(u=90\ ft/s\)
Height of the ball is given by the function \(h(t)=-16t^2+90t\)
Derivative of a function gives the maxima or minima at certain point
\(\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s\)
Thus, it takes ball 2.81 s to reach the top.
public class BinarySearch \{ public static void main(Stringll args) f int [1]yl ist ={1,2,3,7,10,12,20}; int result = binarysearch ( inylist, 20); if (result =−1 ) System, out, println("Not found:"); else System.out.println("The index of the input key is " + result+ ". "): y public static int binarysearch(int]l List, int key) \{ int low =0; int high = iist. length −1 while (high >= low) \& int mid =( low + high )/2; if (key < List [mid] high = mid −1; else if (key =1 ist [ mid ] ) return inid; else low = mid +1; return −1; // Not found \} l TASK 4: Binary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let's think about how to modify the above code to make it work on an array in descending order. Name your new binary search method as "binarysearch2". Implement your own code in Eclipse, and ensure it runs without errors. Submit your source code file (.java file) and your console output screenshot. Hint: In the ascending order case, our logic is as follows: int mid =( low + high )/2 if ( key < list [mid] ) else if (key = ist [mid]) return mid; In the descending order case; what should our logic be like? (Swap two lines in the above code.)
The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.
The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.
To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.
The modified code for binary search in descending order would look like this:
public static int binarysearch2(int[] list, int key) {
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key > list[mid])
high = mid - 1;
else if (key < list[mid])
low = mid + 1;
else
return mid;
}
return -1; // Not found
}
By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.
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Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?
answer: 21 students
15% = 0.15
0.15 x 140 = 21
Find the surface area of the pyramid. round to the nearest tenth if necessary
The area of the pyramid is 517.28 m²
To calculate the surface area of a triangular pyramid, we need to find the area of each face and sum them up.
The base of the pyramid is a triangle, so its area can be calculated using the formula: A = 1/2 x base area x height.
In this case, the base side is 12.2 m and the height is 10.6 m.
Therefore, the area of the base is:
Area = 1/2 x 10.6 x 12.2 = 64.66 m²
So, the area of the pyramid =
A = 1/2 x 64.66 x 16
A = 517.28 m²
Hence the area of the pyramid is 517.28 m²
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Determine the period
Answer:
16 units
Step-by-step explanation:
period = length of an interval that contains exactly one copy of the repeating pattern, so from one peak to another peak.
in this graph its the peaks are 1 and 17, hence the period is 16
Find the sum: (-5x2 + x - 8) + (-3x2 – 8x – 3).
A
-2x2 + 9x - 11
B
-2x2 + 9x - 5
с
-8X2 - 7x - 11
D
-8x2 - 7x + 11
Answer:
hello there i think the answer is c
Step-by-step explanation:
a man shares $100 between his son and daughter in the ratio 9:7 how much more money does his son receive than his daughter?
Answer: To determine how much more money the son receives than the daughter, we need to calculate the amounts each of them receives based on the given ratio.
The total ratio is 9 + 7 = 16.
Let's find out the share of the son and daughter:
Son's share = (9/16) * $100
Daughter's share = (7/16) * $100
Calculating these amounts:
Son's share = (9/16) * $100 = $56.25
Daughter's share = (7/16) * $100 = $43.75
The son receives $56.25, and the daughter receives $43.75. To find out how much more money the son receives than the daughter, we subtract the daughter's share from the son's share:
Son's share - Daughter's share = $56.25 - $43.75 = $12.50
Therefore, the son receives $12.50 more than the daughter.
The son receives $12.5 more than the daughter in this question about sharing money in a given ratio.
Explanation:To find out how much more money the son received than the daughter, we need to calculate the difference between the amounts they received.
Let's first calculate the total ratio.
9 + 7 = 16
Now, we can divide $100 in the ratio 9:7.
Son's share = (9/16) * $100 = $56.25
Daughter's share = (7/16) * $100 = $43.75
The son received $56.25 and the daughter received $43.75. Therefore, the son received $12.5 more than the daughter.
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Is 3x - y = -6 an euation for a graph
Answer:
no this can't become a number that can be graphed
PLEASE HURRY!!
Which equation requires the multiplication property of equality to be solved?
A. 6 a = 420
B. a + 6 = 420
C. a/6 = 420
D. a minus 6 = 420
The equation that requires the multiplication property of equality to be solved is:
\(\boxed{\sf \dfrac{a}{6}=420}\)
What is the multiplication property of equality?Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.
The multiplication property states that:
If a = b, then a · c = b · cOut of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.
That is:
\(\text{If} \ {\sf \dfrac{a}{6}=420}\)
\({\sf \dfrac{a}{6}\times6=420\times6\)
\(\sf a=2520\)
Hence, the equation that requires the multiplication property of equality to be solved is:
\({\sf \dfrac{a}{6}=420}\)
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In a pet shop, there are 6 kittens. Three kittens will be donated to a nursing home.
How many different 3-kitten groups are possible?
A.60
B.20
C.120
D.18
Answer:
20
Step-by-step explanation:
There are 6 ways to choose the first kitten, 5 ways the second, 4 ways the third
6*5*4
But order doesn't matter
Divide by the number of items factorial
3! = 3*2*1 = 6
6*5*4
--------
6
20
6. The height of a cylinder is 16 and the area of a base is 25 square units. In cubic units,
the volume is
a. 25pi
c. 50pi
b. 200pi
d. 400pi
The volume of the cylinder is 400π cubic units. The answer is option d. 400pi.
What is meant by volume?
Volume is the space occupied by a three-dimensional object, such as a cube, sphere, or cylinder. It is measured in cubic units.
What ia a cylinder?
A cylinder is a three-dimensional shape consisting of two parallel circular surfaces of equal size connected by a curved lateral surface.
According to the given information
The volume of a cylinder is given by the formula: V = πr²h
The area of the base is given by the formula: A = πr²
We can solve for r by rearranging the formula:
r² = A/π = 25/πr = √(25/π) = 5/√π
Now we can substitute the values of r and h into the formula for the volume:
V = π(5/√π)²(16) = π(25/π)(16) = 400π
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