A farmer owns a total of 9 1/3 acres of land. The land is separated into 7 equally sized sections. How many acres are in each section?Write your answer as a mixed number in simplest form
Answers
Given that a farmer owns a total of 9 1/3 acres of land
To determine the acres of land when the given total land is divided into 7 equal parts
In other to achieve this, we express the division mathematically as shown below
\(\frac{9\frac{1}{3}}{7}\)Convert 9 1/3 into an improper fraction as shown below:
\(9\frac{1}{3}=\frac{9\times3+1}{3}=\frac{27+1}{3}=\frac{28}{3}\)Related Questions
HELP!!!! Write an exponential function to describe the given sequence of numbers.
Answers
Answer:
y = 5^(x+1)
Step-by-step explanation:
y = 5^(x+1)
x = 1 for the initial step
Vivian’s heart beats 82 beats per minute. a) How many times will her heart beat in 12 years? Ignore leap years. Show your work.
Answers
Answer:
517190400 times
Step-by-step explanation:
83x60=4920 (per hour)
4920x24=118080 (per day)
118080x365=43099200 (per year)
43099200x12=517190400 (in 12 years)
:D gl
which grows at the fastest rate for increasing values of x
\(f(x)=4*2^x\\h(x)=9x^2+25\\\\g(x)=15x+6\)
Answers
The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.
We can see this by comparing the growth rates of the three functions for larger and larger values of x.
As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.
if we plug in x = 10, we get:
f(10) = 4×2¹⁰ = 4×1024 = 4096
h(10) = 9×10² + 25 = 925
g(10) = 15×10 + 6 = 156
As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.
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You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
Answers
Answer this for me please
Answers
The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)
Calculating the function valuesGiven that
f(x) = 2x^2 - 2
g(x) = 4x/(x - 1)
So, we have
f(10) = 2(10)^2 - 2 = 198
g(-6) = 4(-6)/(-6 - 1) = 24/7
The range of h(x)Here, we have
h(x) = (7x - 4)/5x
Where
1 < x < 5
So, we have
h(1) = (7(1) - 4)/5(1) = 3/5
h(5) = (7(5) - 4)/5(5) = 31/25
So the range is 3/5 < h(x) < 31/25
The inverse of p(x)Here, we have
P(x) = (5x - 1)/(3 - x)
So, we have
x = (5y - 1)/(3 - y)
This gives
3x - xy = 5y - 1
So, we have
y(5 + x) = -1 - 3x
This gives
y = -(1 + 3x)/(5 + x)
So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)
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Given a number n, for each integer i in the range from 1 to n inclusive, print one value per line as follows: • If iis a multiple of both 3 and 5, print FizzBuzz. • If iis a multiple of 3 (but not 5), print Fizz. • If iis a multiple of 5(but not 3), print Buzz. • If i is not a multiple of 3 or 5, print the value ofi. Function Description Complete the function fizzBuzz in the editor below. fizzBuzz has the following parameter(s): int n: upper limit of values to test (inclusive) Returns: NONE Prints: The function must print the appropriate response for each value i in the set {1, 2, ... n}in ascending order, each on a separate line. Constraints • 0
Answers
The program is an illustration of loops and conditional statements and the part of the complete program is
n = int(input())
for i in range(1,n+1):
if not(i%3 == 0 or i%5==0):
How to determine the program using the conditions?The program written in Python where comments are used to explain each line is as follows:
#This gets input for n
n = int(input())
#This iterates through n
for i in range(1,n+1):
#If the current number is not a multiple of 3 and 5
if not(i%3 == 0 or i%5==0):
#This prints the number
print(i,end="")
else:
#This prints "Fizz", if the current number is a multiple of 3
if i%3 == 0:
print("Fizz",end="")
#This prints "Buzz", if the current number is a multiple of 5
if i%5==0:
print("Buzz",end="")
#This prints a new line
print()
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Which is a multiple of 15?
3
5
55
60
Answers
Answer:
60
Step-by-step explanation:
15, 30, 45, 60
Answer:
a multiple of 15 would be 60
Step-by-step explanation:
I
took that question
solve the system of equation by elimination
-4x+9y = 9
x-3y=-6
Answers
Answer:
7
Step-by-step explanation:
Answer:
x = 9
y = 5
Step-by-step explanation:
-4 x + 9y =9
x -3y =-6
Rearrange like terms to the same side of equation
-4x + 9y =
x = -6 +3y
Substitute into one of the equations
-4(-6 +3y) +9y =9
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1 in a school test consisting of 10 questions, 5 points are awarded for a correct answer but 3 points are deducted for an incorrect answer. a blank answer scores 0. mike scored a total of 0 and he did not leave all of the answers blank
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a) Either 3 or 4 questions did Mike answer correctly.
b) Either 7 or 8 questions did Sheila answer correctly.
What is a equation in math?In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
a) Let mike did x correct
then, incorrect will be (10- x)
The equation is:
Now, 5x + (10 - x) (-3) = 0
=> 5x - 30 + 3x = 0
=> 8x = 30
=> x = 30/8
=> x > 3 and x < 4
b) Let Sheila did y correct
then, incorrect = (10 - y)
Now, 5y + (10 - y) (-3) = 32
=> 5y - 30 + 3y = 32
=> 8y = 62
=> y > 7 and y< 8
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The given question is incomplete, complete question is:
In a school test consisting of 10 questions, 5 points are awarded for a correct answer but 3 points are deducted for an incorrect answer.
A blank answer scores (). Mike scored a total of () and he did not leave all of the answers blank. (a) How many questions did Mike answer correctly? _ _ _ _ _ _ _ _ Sheila scored a total of 32. (b) How many questions did Sheila answer correctly?
For homework, Tina is asked to write down the opposite value for each number listed. Which comparison did Tina write incorrectly?
Answers
Answer:
x
Step-by-step explanation:
It still would be a negative.
The comparison that Tina wrote incorrectly is X. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The table is given below.
Comparison Number Opposite value
W -3 3
X -(-9) 9
Y 0 0
Z 4 - 4
The number -(-9) is also written as 9 and the opposite number of 9 is negative 9. Then the comparison that Tina wrote incorrectly is X. Then the correct option is B.
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For each planet in the solar system, its year is the time it takes the planet to revolve around the center star. The formula 23 x2.0)x(E = models the number of Earth days in a planet’s year, E, where x is the average distance of the planet from the center star, in millions of kilometers. There are approximately 88 Earth days in the year of the planet Mercury. What is the average distance of Mercury from the center star? Round to the nearest million kilometers. Clearly state your final answer in a complete sentence with proper grammar and correct spelling.
Answers
The average distance of Mercury from the center star to the nearest million kilometers is; 58 million km
How to solve exponential Model problems?
We are told that for each planet in the solar system, its year is the time it takes the planet to revolve around the center star.
Now, the exponential function that models the number of earth days in a planets year is given as;
E = 0.2x^(3/2)
where;
E is the number of earth days in a planets year
x is the average distance of the planet from the center star, in millions of kilometers.
Thus, if there are approximately 88 Earth days in the year of the planet Mercury, then we can say that;
0.2x^(3/2) = 88
x^(3/2) = 88/0.2
x^(3/2} = 440
x = 440^(2/3)
x = 57.85 ≈ 58 million km
The average distance of Mercury from the center star to the nearest million kilometers is; 58 million km
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A rocket is shot from an underground bunker. The height of the rocket after t seconds is given by y= -16t^2 + 176t -384 (measured in feet relative to the surface). Determine how long after the rocket is launched that is will emerge from the ground, and determine how much longer it will be for the rocket to hit the ground.
Answers
Solving the quadratic equation, it is found that:
It emerges from the ground after 3 seconds.5 seconds after that, that is, 8 seconds after being launched, it hits the ground.What is a quadratic function?A quadratic function is given according to the following rule:
\(y = ax^2 + bx + c\)
The solutions are:
\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)
\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)
In which:
\(\Delta = b^2 - 4ac\)
If a < 0, the graph, which is a parabola, is concave down, that is, it is positive only between the two roots.
In this problem, the equation is:
\(y = -16t^2 + 176t - 384\)
Then, the solution is:
\(-16t^2 + 176t - 384 = 0\)
The coefficients are \(a = -16, b = 176, c = -384\), then:
\(\Delta = (176)^2 - 4(-16)(-384) = 6400\)
\(x_1 = \frac{-176 + \sqrt{6400}}{-32} = 3\)
\(x_2 = \frac{-176 - \sqrt{6400}}{-32} = 8\)
Considering that the parabola is concave down, we have that:
It emerges from the ground after 3 seconds.5 seconds after that, that is, 8 seconds after being launched, it hits the ground.You can learn more about quadratic equations at https://brainly.com/question/24764843
this a mom I try to know how to do this math so I can hlep my son I don't get that all. Help on the b section.
Answers
Inside the smaller square:
\(7\cdot8=56\)On the right edge:
\(7\cdot\frac{3}{4}=\frac{21}{4}=5\frac{1}{4}\)On the right corner:
\(\frac{4}{5}\cdot\frac{3}{4}=\frac{12}{20}=\frac{3}{5}\)On the down strip:
\(\frac{4}{5}\cdot8=\frac{32}{5}=6\frac{2}{5}\)B)
We now need to add all the partial products. The first part is:
\(56+5\frac{1}{4}+6\frac{2}{5}+\frac{3}{5}\)When adding mixed fractions we need to add the "integer" parts and the "fractional" parts. To sum the fractional parts we need to calculate the LCM, which is done by factoring the different denominators, in this case we have two denominators "5" and "4", since they are both prime numbers they only have one factor, which is themselves and we can multiply them directly to find the LCM.
\(\begin{gathered} 56+5\frac{5\cdot1}{20}+6\frac{2\cdot4}{20}+\frac{3\cdot4}{20} \\ 56+5\frac{5}{20}+6\frac{8}{20}+\frac{12}{20} \end{gathered}\)We can now sum the integers and numerators:
\(67\frac{25}{20}\)For the last part we need to change the improper fraction by adding one unit to the integer and subtracting 20/20 on the fraction.
\(68\frac{5}{20}\)The fractional part can be simplified by dividing the numerator and denominator by 5.
\(68\frac{1}{4}\)Joanna's vegetable garden covers an area of 16 of a square mile. If the garden is 14 mile wide, how long does the garden stretch?
112 mile
1 over 12 mile
512 mile
5 over 12 mile
23 mile
2 thirds mile
34 mile
Answers
The length of the rectangular garden given the area and width is 8/7 miles
Area of rectangleA rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.
Width of the rectangular garden = 14 mileLength of the rectangular garden = x mileArea of the garden = 16 square milesArea of a rectangular garden = length × width
16 = x × 14
16 = 14x
divide both sides by 14x = 16 / 14
x = 8/7 miles
Therefore, the length of the rectangular garden given the area and width is 8/7 miles.
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Find the area 9cm 8cm 13cm 9cm 11cm
Answers
Answer:
460
Step-by-step explanation: multiply all numbers to get your answer
Edna transferred a balance of $1400 to a new credit card at the beginning of
the year. The card offered an introductory APR of 2.9% for the first 3 months
and a standard APR of 22.1% thereafter. If the card compounds interest
monthly, which of these expressions represents Edna's balance at the end of
the year? (Assume that Edna will make no payments or new purchases during
the year, and ignore any possible late payment fees.)
Answers
Answer:
(1400)(1+0.029/12)3(1+0.221/12)9
Step-by-step explanation:
A p e x
Answer:
Step-by-step explanation:
Just so you know how it looks on the page
What times 6 equals 20?
Answers
Answer:
10/3
Step-by-step explanation:
X is the what in this equation.
6x = 20
x = 20/6
x = 10/3
Six times 10/3 is equals to 20.
What is multiplication?The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Let x be the required number.
Then to find what times 6 equals 20:
We have expression,
6x = 20
Simplifying,
x = 20 /6
x = 10/3
The number is 10/3.
Therefore, the required number is 10/3.
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What is the total surface area
Answers
Answer:
Step-by-step explanation:
Total Marks
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Attempted Questions
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Q2 Which statement is true?
All squares are rhombi.
All rectangles are rhombi.
All parallelograms are rectangles.
All trapezoids are parallelograms.
Answers
Answer:
All parallelograms are rectangles.
Graph the linear equation using the slope-intercept method. -7x+2y=1
Answers
Given that NO ML and ML JK, which postulate or theorem can be used to show that all 3 center triangles in the
Antigua and Barbuda flag are similar?
A. ASA similarity theorem
B. SSS similarity theorem
C. SAS similarity theorem
D. AA similarity postulate
Answers
Answer:
A
Step-by-step explanation:
Source:
Trust me bro
The theorem used to prove the three triangles are similar is the ASA similarity theorem. The correct option is A.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and the side included between the angles of the second triangle.
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Find the value of each variable. Round any radical to the tenths place (√3=1.7)
45
y
X=
16√3
30°
X type your answer...
y type your answer...
Z type your answer...
Answers
Susan sixth divot wishful clocks dishcloth
what is the value of x in √x^3-1
Answers
9514 1404 393
Answer:
x ≥ 1
Step-by-step explanation:
The argument of the square root cannot be negative, so the expression is only defined for ...
x³ -1 ≥ 0
x³ ≥ 1 . . . . . add 1
x ≥ ∛1 . . . . cube root
x ≥ 1 . . . . the domain of the expression
_____
As you can see, the graph only exists for x ≥ 1.
We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor. What is the minimum sample size needed to estimate the population proportion with a margin of error of .05 or less at 95% confidenc
Answers
Answer:
\(n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16\)
And rounded up we have that n=385
Step-by-step explanation:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \(\alpha=1-0.95=0.05\) and \(\alpha/2 =0.025\). And the critical value would be given by:
\(z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96\)
The margin of error for the proportion interval is given by this formula:
\( ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}\) (a)
And on this case we have that \(ME =\pm 0.05\) and we are interested in order to find the value of n, if we solve n from equation (a) we got:
\(n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}\) (b)
The estimated proportion for this case is \(\hat p=0.5\). And replacing into equation (b) the values from part a we got:
\(n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16\)
And rounded up we have that n=385
Need help please answer asap
Answers
Answer:
1/2
Step-by-step explanation:
slope is 3/6 simplified is 1/2
Answer:
the slope is 1/2 simplified
Step-by-step explanation:
Formula: M=rise/run
rise=3
run=6
3/6= 1/2
What's the slope of -x+2y=5
Answers
Answer:
Slope = (1/2)
Step-by-step explanation:
Rearrange the equation into the y = mx + b format.
-x + 2y = 5
2y = x + 5
y = (1/2)x + (5/2)
m represents slope, which is (1/2) in this question.
Please help me find the equation it so hard
Answers
Answer:
y = 4/5x + 3/5
Step-by-step explanation:
In the slope-intercept form, y = mx + b, we need to find the values of the slope (m) and the y-intercept.
Using points (-7, -5) and (3, 3), we can calculate for the slope of the equation given the formula:
\(m = \frac{y2 - y1}{x2 - x1}\)
Let (x1, y1) = (-7, -5)
and (x2, y2) = (3, 3).
Plug the given values into the slope formula:
\(m = \frac{y2 - y1}{x2 - x1} = \frac{3 - (-5)}{3 - (-7)} = \frac{3 + 5}{3 + 7} = \frac{8}{10} = \frac{4}{5}\)
Therefore, the slope of the line is 4/5.
Next, we need to find out the value of the y-intercept (b).
We can use one of the given points, (3, 3), along with the slope (4/5) to solve for the y-intercept:
y = mx + b
3 = 4/5(3) + b
3 = 12/5 + b
Subtract 12/5 from both sides:
3 - 12/5 = 12/5 - 12/5 + b
3/5 (or 0.6) = b
Therefore, the y-intercept is 3/5.
We can now establish our linear equation as:
y = 4/5x + 3/5
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19. How many actions does Jolene perform in 1 hour? 20. In 1 hour, how many more actions does Jolene perform than Pedro 2 Game Efficiency Player (actions per minute) Kendra 350 Pedro 100 Jolene 315 actions 19. In 1 hour, Jolene performs (Type a whole number) 1 More Enter your answer in the answer box and then click Check Answer Check And. please help marking as brian lest
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Answer: Jolene is a character in Phantom Hourglass.3 1 Biography 2 Non-Canon Appearances 2.1 Phantom Hourglass Manga 3 Nomenclature 4 Gallery 5 References Jolene keeps a vigilant eye out for her old friend Linebeck, with whom Link travels, so that she might get her revenge on him. If she spots the SS Linebeck, she will attack and ambush. If this happens, Link must fight off Jolene, and if he is ...
A line passes through the point (3,2) and has a slope of 4
Answers
The equation of the line that passes through the point (3,2) and has a slope of 4 is; y = 4x - 10
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Point (3,2)
Then Slope m = 4
Now Write the equation as;
y - 2 = 4(x - 3)
y = 4x - 10
Hence, The equation of the line is; y = 4x - 10
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513.4497 rounded to the hundredths place
Answers
Answer:
513.45
Step-by-step explanation:
use intelligence