9514 1404 393
Answer:
9,775,069,161
Step-by-step explanation:
The field has the shape of a trapezoid. Its area can be found using the formula for the area of a trapezoid:
A = (1/2)(b1 +b2)h
A = (1/2)(399 +594)(506) = 251,229 . . . . . . acres
__
At 38909 plants per acre, the number of plants that should be planted for maximum yield is ...
(251,229 ac)(38,909 plants/ac) = 9,775,069,161 plants
_____
Comment on units
The problem statement tells us "each unit of coordinate plane represents one acre." An acre is a unit of area, so we have to assume this means that each square unit represents one acre. That means each unit on each axis is about 208.71 feet, the dimension that would have to be squared to get an area of one acre--43,560 square feet.
3 х 3x3x3x3
Index notation
Thank u will put brainliest
Answer:
c
so sorry if wrong
Step-by-step explanation:
Answer:
3 5/8 inches or c or third bubble
Someone pls answers theses
The answers to all parts is shown below.
What is Percent increase?The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.
Given:
1. Percent increase = (10-8)/ 8 x 100 = 25%
2. Percent increase
= (62- 31)/ 62 x100
= 50%
3. Percent increase
= (136- 85 )/ 136 x100
= 37.5%
4. Percent increase
= (330 - 250 )/ 330 x100
= 24.24%
5. Percent increase
= (75- 50.5 )/ 75 x100
= 32.66%
6.Percent increase
= (6500- 5000 )/ 5000 x100
= 30%
7. Percent increase
= (62- 56 )/ 62 x100
= 9.67%
8. Percent increase
= (15.5- 10.75 )/ 15.5 x100
= 30.64%
9. Percent increase
= (2.26 - 0.98 )/ 2.26 x100
= 56.63%
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What is the median of this data set?
The median of the given data set as required to be determined in the task content is; 4.
What value represents the median of the data set?It follows from the task content that the value which represents the median of the data set is to be determined.
By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.
Consequently, the median of the data set as required is; 4.
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PLS ANSWER ASAP! Enter the equation of the line in the form y=mx Where m is slope
Answer:
Well technically its inf due to the arrow, there are no points showing where to start from and where to end
the way you do it it you just count the amount of units it goes up, in this case for every square its going up 5 units, once you get that number you put that on top of your fraction, then you go over on the x axis till you hit your line (x axis is going by 10 every time). This would be your number on the bottom of the fraction.
Ill do what I can see here
40 1
---- Simplified to ----
80 2
Step-by-step explanation:
Obviously this isnt the answer but thats how you get it, hope this helps
on with integer numerator and integer denominator, each smaller than $100$, whose decimal expansion begins with $0.11235\ldots$. both the numerator and the denominator are positive. what is that fraction?
The required fraction is 1123/20.
To find the fraction with an integer numerator and denominator whose decimal expansion starts with 0.11235 ..., we will use the following approach.
1) Consider the first few digits of the decimal expansion. The fraction should be greater than 0.1123 and less than 0.1124.
The decimal fraction lies between `0.1123` and `0.1124`. So, the numerator will be between the range of `(0.1123 × 100) ≈ 11.23` and `(0.1124 × 100) ≈ 11.24`. Hence, the numerator can be `1124`, or `1123`.
2) Multiply the decimal expansion by 1000 and remove the integer part. This gives us a 3-digit number to work with.
Now, `(0.11235 × 1000) ≈ 112.35`.3) We need to find the denominator of the fraction now. We can see that the first three digits of the resulting number are the numerator of the fraction. To find the denominator, we need to look at the remaining digits. The remaining digits are `35`.So, the denominator is a number that is divisible by 5 and is less than 100. So, we can see that the denominator is `100 ÷ 5 = 20`.
Therefore, the fraction is `1123/20`.
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find a constant b so that y(t) = e^2t [1 4 b] is a solution of y′ = [4 1 3 2 3 3 −2 −1 −1]y.
We have found a value of b that makes y(t) = \(e^2t\) [1; 4; -1/2] a solution of y′ = [4 1 3; 2 3 3; −2 −1 −1]y. To check if y(t) is a solution of y′ = Ay, we need to substitute it into the differential equation and see if it holds.
Let's start by finding y′:
y′(t) = [\(2e^2t, 8e^2t, 4be^2t\)]
Now, let's find Ay:
Ay = [4 1 3; 2 3 3; −2 −1 −1] [1; 4; b] = [4+4b; 14; -5-b]
We want y(t) = e^2t [1; 4; b] to satisfy y′ = Ay, so we set them equal:
y′ = Ay
[\(2e^2t; 8e^2t; 4be^2t] = [4+4b; 14; -5-b] e^2t\) [1; 4; b]
Expanding this equation, we get:
\(2e^2t\)= (4+4b)\(e^2t\)
\(8e^2t\) = 14 \(e^2t\)
\(4be^2t\)= (-5-b) \(e^2t\)
The second equation is always true, so we can ignore it. For the first equation, we can cancel out \(e^2t\) on both sides to get:
2 = 4+4b
Solving for b, we get:
b = -1/2
Finally, we can substitute b = -1/2 back into the third equation to check if it holds:
4be^2t = (-5-b) \(e^2t\)
-2e^2t = (-5 + 1/2)\(e^2t\)
This equation is true, so we have found a value of b that makes y(t) = \(e^2t\) [1; 4; -1/2] a solution of y′ = [4 1 3; 2 3 3; −2 −1 −1]y.
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Use Cramer's rule to give the value of y for the solution set to the system of equations
[-2x + 5y - 2z = -2]
[-3x + 5y - 2x = 1]
[ -x + 2y - z = -2]
Using Cramer's Rule the solutions of the system of linear equations -2x + 5y - 2z = -2; -3x + 5y - 2x = 1; -x + 2y - z = -2 are: x = -3, y = 2, z = 9.
Given the system of linear equations are,
-2x + 5y - 2z = -2
-3x + 5y - 2x = 1
-x + 2y - z = -2
So, the deltas are,
D = \(\left|\begin{array}{ccc}-2&5&-2\\-3&5&-2\\-1&2&-1\end{array}\right|\) = -2 (-5 + 4) -5 (3 - 2) -2 (-6 + 5) = 2 - 5 + 2 = -1
Dₓ = \(\left|\begin{array}{ccc}-2&5&-2\\1&5&-2\\-2&2&-1\end{array}\right|\) = -2 (-5 + 4) -5 (-1 - 4) -2 (2 + 10) = 2 + 25 - 24 = 3
Dᵧ = \(\left|\begin{array}{ccc}-2&-2&-2\\-3&1&-2\\-1&-2&-1\end{array}\right|\) = -2 (-1 - 4) + 2 (3 - 2) - 2 (6 + 1) = 10 + 2 - 14 = -2
D₂ = \(\left|\begin{array}{ccc}-2&5&-2\\-3&5&1\\-1&2&-2\end{array}\right|\) = -2 (-10 - 2) - 5 (6 + 1) - 2 (-6 + 5) = 24 - 35 + 2 = -9
Hence, according to Cramer's Rule, the solutions are,
x = Dₓ/D = 3/(-1) = - 3
y = Dᵧ/D = -2/(-1) = 2
z = D₂/D = (-9)/(-1) = 9
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vFind the LCD for the expressions 2x^(2)-x-12 and 1x^(2)-16. Hint: Find and enter only the LCD for the expressions. You do not need to find or rewrite the full equivalent rational expressions with nu
The LCD (Least Common Denominator) for the expressions 2x^(2)-x-12 and 1x^(2)-16 is (x+4)(x-4).
To find the LCD, we need to factorize the denominators of both expressions and determine the common factors. Let's factorize each denominator:
2x^(2)-x-12 can be factored as (2x+3)(x-4).
1x^(2)-16 is a difference of squares and can be factored as (x+4)(x-4).
Now, we look for the common factors in both factorizations. We can see that (x-4) is common to both expressions.
Therefore, the LCD is (x+4)(x-4).
The LCD for the expressions 2x^(2)-x-12 and 1x^(2)-16 is (x+4)(x-4). The LCD is important in working with rational expressions because it allows us to find a common denominator, which is necessary for adding, subtracting, or comparing fractions. By finding the LCD, we can ensure that the denominators of the expressions are the same, which facilitates further algebraic operations.
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What is 2/3, "-4/3," 3.0, 23%, "-1," 5/8 ordered from greatest to least
The order of the list from greatest to least is: 3.0, 23%, 2/3, 5/8, "-4/3," "-1."
The first two values, 3.0 and 23%, are easily comparable as they are both expressed in numerical form. 3.0 is a whole number, while 23% is a fraction equivalent to 0.23. Therefore, 3.0 is greater than 23%.
Comparing the next two values, 2/3 and 5/8, can be a bit trickier since they are both fractions. To compare them, we can convert them to decimals or find a common denominator. Converting them to decimals, we get 0.67 for 2/3 and 0.625 for 5/8.
Therefore, 2/3 is greater than 5/8.
Next, we have two negative values, "-4/3" and "-1." Both are expressed as fractions, but "-1" can also be written as "-1/1." To compare them, we can convert them to a common denominator. Multiplying "-4/3" by 3/3, we get "-4/9." "-1/1" is equivalent to "-9/9." Therefore, "-1" is greater than "-4/3."
In summary, the ordered list from greatest to least is 3.0, 23%, 2/3, 5/8, "-4/3," and "-1." The values were compared by converting them to decimals or finding a common denominator.
To compare and order a list of values, it is essential to establish a common basis of comparison. In this case, we used decimals and common denominators to compare fractions and negative numbers. Converting fractions to decimals allowed us to easily compare them, while finding a common denominator helped us compare fractions and negative numbers.
It is also important to remember that percentages are equivalent to fractions and decimals, and that negative numbers follow a specific order, with the smaller (or more negative) number being greater. By following these guidelines, we were able to successfully order the list of values from greatest to least.
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Suzanne has a 12 inch board for construction and a wooden chair. The directions say to use a board that is 29 cm long is your board long enough to cut?
Yes 12 inches converted to centimeters is around 30 cm
Brainliest ,please help, Line L has the equation y = 5x + 12 Write down the gradient of line L
In the equation y=mx+c m= the gradient of the line and our m=5 so gradient of the line is 5
The gradient of line L is 5
What is the gradient f the line?"It is the ratio of the the change in the 'y' coordinate with respect to the change in the 'x' coordinate of that line.""It is used to calculate the steepness of a line."What is the slope-intercept form of the line?"y = mx + c, where m is the slope and c is the y-intercept."
For given question,
We have been given an equation of the line L y = 5x + 12
Comparing above equation with the slope-intercept form of the line,
we have m = 5 and c = 12
Here, slope of the line L is 5
We know that the slope of the line is the the change in the y coordinate with respect to the change in the x coordinate of the line.
This means, the gradient of the line L is 5
Therefore, the gradient of line L is 5
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For f(x) = 6x2 + 48x + 79, determine the following without the use of technology, if they exist. If something does not exist, enter DNE. Use a comma-separated list to enter multiple answers when necessary. (Round your answers to four decimal places if necessary.) (a) vertex (b) axis of symmetry x= (c) domain (Enter your answer using interval notation.) (d) range (Enter your answer using interval notation.) (e) x-intercept(s) smaller x-value (x,y)=() larger x-value (x,y)=( (f) y-intercept (x,y)=() (g) maximum value
The vertex is (-4, -13), the axis of symmetry is x = -4, the domain is (-∞, ∞), the range is [-13, ∞), the x-intercepts are [(-4 - sqrt(13/3))/2, 0] and [(-4 + sqrt(13/3))/2, 0], the y-intercept is (0, 79), and the maximum value is -13.
The function is quadratic. To solve this problem, we will use the following steps:
Step 1: Rewrite the function in the form of a quadratic equation
Step 2: Determine the vertex by completing the square
Step 3: Determine the axis of symmetry
Step 4: Determine the domain and range
Step 5: Determine the x-intercepts
Step 6: Determine the y-intercept
Step 7: Determine the maximum value
(a) vertex
The vertex is a point where the parabola changes direction. It is denoted as (h,k). Let's complete the square to find the vertex. f(x) = 6x² + 48x + 79.Group the terms with x and the constant term:
f(x) = 6x² + 48x + 79
Group the first two terms together:
f(x) = 6(x² + 8x) + 79
To complete the square, we need to add and subtract the square of half the coefficient of x,
i.e. (b/2)² = 16² = 256, inside the bracket.
f(x) = 6(x² + 8x + 16 - 16) + 79
f(x) = 6[(x + 4)² - 16] + 79f(x)
= 6(x + 4)² - 13
The vertex is (-4, -13)
(b) symmetry
The axis of symmetry is the vertical line that passes through the vertex. It is given by x = h. Therefore, the axis of symmetry is x = -4
(c) Domain
The domain of a quadratic function is always all real numbers. So, the domain of the function f(x) = 6x² + 48x + 79 is
(-∞, ∞).(d) range. Since the coefficient of the x² term is positive, the parabola opens upwards and the vertex is the minimum point of the parabola. Therefore, the range of the function is [-13, ∞).(e) x-interceptsTo find the x-intercepts of the function, set y = 0 and solve for x.
f(x) = 6x² + 48x + 79
Let f(x) = 0.6x² + 48x + 79 = 0
Divide each side by 6.x² + 8x + 79/6 = 0
To find the roots, we can use the quadratic formula
x = [-b ± sqrt(b² - 4ac)]/2a
Substituting a = 1, b = 8, and c = 79/6, we get:
x = [-8 ± sqrt(8² - 4(1)(79/6))]/2x
= [-8 ± sqrt(64 - 79/3)]/2x
= [-8 ± sqrt(13/3)]/2
Thus, the x-intercepts are [(-4 - sqrt(13/3))/2, 0] and [(-4 + sqrt(13/3))/2, 0]
(f) y-intercept
The y-intercept is the point at which the graph of the function intersects the y-axis. To find the y-intercept, set x = 0.
f(x) = 6x² + 48x + 79
Let x = 0.
f(0) = 6(0)² + 48(0) + 79f(0)
= 79
The y-intercept is (0, 79)
.(g) Maximum value
The maximum value of a quadratic function is the y-coordinate of the vertex. Therefore, the maximum value of the function f(x) = 6x² + 48x + 79 is -13.
Therefore, the vertex is (-4, -13), the axis of symmetry is x = -4, the domain is (-∞, ∞), the range is [-13, ∞), the x-intercepts are [(-4 - sqrt(13/3))/2, 0] and [(-4 + sqrt(13/3))/2, 0], the y-intercept is (0, 79), and the maximum value is -13.
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Write the number in 2 equivalent forms as a fraction, decimal, or percent.
10/10
What is the equivalent fraction?
\(\sqrt{25} is an irrational
Answer:
Is Square Root of 25 Rational or Irrational?
Step-by-step explanation:
A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.
The answer is:
⇨ √25 is a rational numberWork/explanation:
What are rational numbers?
Rational numbers are integers and fractions.
Irrational numbers are numbers that cannot be expressed as fractions, such as π.
Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.
Hence, √25 is rational.please help domain&range
Answer:
21, 7.5, -6
Step-by-step explanation:
Think of domain as x and range as y
okay so basically sense your range is (-6, 3, 12) and your function is
f(x) = -2/3x + 8
your domain values would be
21
7.5
-6
I suggest using desmos, it's very helpful, hope this helps
Which of the following shows how the distributive property can be used to find -22(1.5)?
-22(-1) + -22(-0.5)
22(1) + 22( 0.5)
-22(1) + -22(0.5)
-22(0.75) + -22(-0.75)
Answer:
the last one
Step-by-step explanation:
ANSWER
C) -22(1) + -22(0.5)
Write a system of inequalities to represent this
situation.
The Washington family is hosting a cookout. They
decide to serve chicken and pork. They determine
that they will need at most 20 pounds of meat, and
they want to have at least twice as much chicken as
pork.
Answer:
c + p <= 20
2c >= p
Step-by-step explanation:
We can declare our variables as:
c = pounds of chicken
p = pounds of pork
The total meat can be expressed as c + p, and at most signifies that the family needs 20 pounds or less. Putting this together, one equation becomes c + p <= 20.
The family additionally wants at least 2 * c as p, which means that 2*c is greater than or equal to p, or 2c >= p.
hope this helps :)
A shopkeeper bought 26 apples from a fruit vendor for $37.70 how much did each apple cost?
Answer:
Each apple costed $1.45
Step-by-step explanation:
We can simply just divide 37.70 by 26 and we get 1.45.
Rectangle jklm is congruent to a 4 inch by 7 inch rectangle. How many different values are possible for the length of segment j m?.
A congruent rectangle is a rectangle that has the same size and shape as another rectangle. In other words, two rectangles are congruent if they have the same length and width.
Since the rectangle is 4 inches by 7 inches, one of the dimensions represents the length and the other represents the width. The length and the width can be interchanged to form a different rectangle with the same area.
Since the rectangle is congruent to the 4-inch by 7-inch rectangle, the length and width of the rectangle are either 4 inches or 7 inches. Therefore, the length of segment JM can be either 4 inches or 7 inches.
So, there are two possible values for the length of segment JM: 4 inches and 7 inches.
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How do you rewrite 2/5 :1/15 as a unit rate?
A. 2:75
B. 30:5
C. 15:2
D. 6:1
Answer:
B=30:5 that is the answer
Step-by-step explanation:
2/5×1/5=30:5
What is dependent and dependent variable?
Independent and dependent variables are interdependent.
Dependent Variable: The term "dependent variable" refers to the variable that is being measured or tested in an experiment.
The results of the participants' tests, for instance, would be the dependent variable in a study looking at how tutoring affects test scores because that is what is being measured.
If you keep in mind that the dependent variable depends on the independent variable, finding it can be simpler.
The dependent variable's variable is being measured.It might change based on additional circumstances.It is reliant on other elements.A separate variableThis isn't the same as an experiment's independent variable, which is a variable that can stand on its own. The dependent variable (test results), however, may alter depending on the independent variable (tutoring).
The unrelated factor
Because the experimenters are allowed to change the independent variable as necessary, it is called a "independent" variable.
Changing variable in an independent variable.It doesn't alter in response to other factors.It can stand alone.For more questions on dependent and independent variable
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61, 98, 60, 60, 57, 81, 93
Mean
Median
Mode
Range
find the sum of all the values and divide the sum by the number of values.
\( \frac{(61 + 98 + 60 + 60 + 57 + 81 + 93)}{7} = \frac{510}{7} \)
\( = 72.86\)
median:arrange the values in either ascending or descending, and find the number in the middle.
\(57 \: 60 \: 60 \: 61 \: 81 \: 93 \: 98\)
\( = 61\)
mode:the most frequently occurred number.
\( = 60\)
range:arrange the values in ascending order and subtract the lowest value from the highest one.
\(98 - 57\)
\( = 41\)
What number do the blocks represent? Write your answer as a decimal.
Answer:
its 3.303
Step-by-step explanation:
One angle of an isosceles triangle measures 50°. Which other angles could be in that isosceles triangle? Choose all that apply
Answer:
Step-by-step explanation:
Please hurry
according to the case study, inuit fishermen are:
highly regulated by the government.
given 24 paid holiday per year.
part of a traditional economy.
all of these choices are correct.
Given statement solution is :- The fishermen being given 24 paid holidays per year or being part of a traditional economy. Therefore, these options cannot be considered correct based on the given information.
Based on the given information, it appears that the correct answer is "highly regulated by the government." The case study states that the Inuit fishermen are highly regulated by the government, which implies that there are specific rules, regulations, and oversight imposed on their fishing activities.
The information provided does not mention anything about the fishermen being given 24 paid holidays per year or being part of a traditional economy. Therefore, these options cannot be considered correct based on the given information.
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A basketball player who has scored a total of 833 points in 68 games expressed in points/game
Answer:
12.25 points per game
Step-by-step explanation:
To find the points/game ratio, you do 833/68 which is 12.25.
Hope this helps :)
Tanks are used to deliver liquid fuel to a factory. each tank holds 22.5 cubic yards of fuel. the weight of 1 cubic yard of fuel is 0.74 tons. the fuel will be stored in containers that each holds 7.4 tons of fuel. how many containers of this size are needed to hold all the fuel from 12 tanks?
27 containers are needed to hold all the fuel from 12 tanks.
How do you prove that?We are given that each tank holds 22.5 cubic yard of fuel, the weight of 1 yd³ (cubic yard) of fuel is equal to .74 tons, and each container holds 7.4 tons of fuel. Solving this problem would involve converting units.
In order to find out how many containers of the size are needed to hold all the fuel from 12 tanks, first we need to find how much fuel is delivered by 12 tanks. Since 12 x 22.5 = 270, 12 tanks are used to deliver 270 yd³ of fuel.
Next we convert it to tons. Recall that 1 yd³ of fuel is equal to .74 tons. Therefore, 270 yd³ = 270 x .74 = 199.8 tons.
A container holds 7.4 tons of fuel. 199.8 ÷ 7.4 = 27, hence 27 containers are needed to hold all the fuel.
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please answer.........................
The proof of <BED = <BAC is shown below.
What is Similarity?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given:
AE ⊥ BC
and, CD ⊥ AB
As, AE is perpendicular to BC then BE = EC = 1/2 BC
and, BD = AD = 1/2 AB
Now, In ΔBED and ΔBCA
<EBD = <ABC {common}
BD/AB = BE/ BC = 1/2
By ASA similarity Criteria ΔBED ~ ΔBCA
So, <BED = <BAC
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can someone help me with these questions please?
Answer:
1. One solution
2. No solution
Step-by-step explanation:
1.Step 1: Subtract 2x from both sides.
5x+3−2x=2x−3−2x
3x+3=−3
Step 2: Subtract 3 from both sides.
3x+3−3=−3−3
3x=−6
Step 3: Divide both sides by 3.
3x + -6
3 2
x=−2
Answer:
1)One solution
2)No solutions
Step-by-step explanation:
To solve this for the first one you should add both sides by three to get the constants on one side.
5x+3+3=2x
Combine like terms.
5x+6=2x
Get x to one side by subtracting 5x on each side.
6=-3x
Solve for x.
x=6/-3 or x=-2
Which means one solution.
To solve the second one you should o all the steps above, but to find:
8=3
Which is not true, so no solutions.