Answer:
The acres of each the farmer must plant to obtain the maximum profit is:
160 acres of oat.80 acres of corn.Step-by-step explanation:
First, we're gonna take the data of the exercise:
Area: 240 acres.Profit of the corn: $40/acreProfit of the oat: $30/acreTime spent by corn: 2 hour per acre.Time spent by oat: 1 hour per acre.Total working time available: 320 hours.Now, we're gonna suppose that all the area could be planted with corn (the most profitable), in this form, we obtain the highest profit to take this how reference:
Total profit with corn = area * profit of the cornTotal profit with corn = 240 acres * $40/acreTotal profit with corn = $9600How you can see, $9600 is the highest profit that the farmer can obtain, but, as each acre of corn needs 2 hours, the farmer would need 480 hours of labor to plant all the area with corn, with the 320 hours availables, the farmer just could plant 160 acres of corn, therefore, the real profit would be:
Total profit with corn = 160 * $40Total profit with corn = $6400Now, we're gonna make the same exercise but with the oats, to obtain the total profit with this:
Total profit with oat = area * profit of the oatTotal profit with oat = 240 acres * $30/acreTotal profit with oat = $7200Taking into account the hours of labor availables, the oat gives $800 more profit than the corn, but in that case we'd lose 80 hours of labor that could be used to make a better profit, but, as the oat per hour of labor is more profitable, we're gonna use 2/3 of the area to plant oat and 1/3 to plant corn:
Area used for oat = 240 acres * 2/3Area used for oat = 160 acresArea used for corn = 240 acres * 1/3Area used for corn = 80 acresHow you can see, with 160 acres of oat, the farmer would need 160 hours of labor and, with 80 acres of corn, the farmer would need 160 hours of labor too, by this, we know all the available time will be used, now, we're gonna calculate the profit in each case:
Real profit with oat = used area * profit of the oatReal profit with oat = 160 acres * $30/acreReal profit with oat = $4800Real profit with corn = 80 acres * $40/acreReal profit with corn = $3200The total profit to the farmer with this plan is:
Total profit = Corn profit + Oat profitTotal profit = $3200 + $4800Total profit = $8000The profit with the given plan is $8000, that is better than the profit only with oat or corn separately and, this is the maximum profit the farmer can make.
Minimum or maximum value
The minimum is the smallest value in the data set. The maximum is the largest value in the data set.
To find the minimum or maximum value of a function:We will set the first derivative of the function to zero and solve for x to get the critical point. If we take the second derivative or f''(x), then we can find out whether this point will be a maximum or minimum. If the second derivative is positive, it will be a minimum value.
A minimum or a maximum is called an extreme point. A local extreme point is the smallest or largest value in its neighborhood. If it is also the smallest or largest at the entire domain of the function, it is called a global extreme point. The local minima and maxima can be found by solving f'(x) = 0.
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Complete question is: What is the difference between Minimum or maximum value?
Distribution of toys : Is this different or just the division with remainder
Answer:
Step-by-step explanation:
20)63(3
-60
-------
3
so every children gets 3 toys but 3 toys are left which can be distributed among 3 children.
so 3 children get 1 toy more.
Hence 3 children get 3+1=4 toys (each)
Can you use the Pythagorean theorem to relate thethree sides of this triangle?
Answer:
You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle's other two sides, called the legs. You can use the Pythagorean Theorem to find a value for the length of c, the hypotenuse.
Josh must submit 4 paintings as part of his
application to art school. If he has 25 to choose
from, how many ways can he pick 4?
Answer: 4,096
Step-by-step explanation:
There are 12650 ways for pick 4 paintings.
Given:
He has 25 to choose.
No. of ways he can pick 4 in 25 = 25 C 4.
[tex]\frac{25!}{4!(25-4)!} =\frac{25}{4!\times2!} =12650\\[/tex]
Therefore, 12650 ways for pick 4 paintings.
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pleasee help with these questions
Answer:
6. 3.14 7. 172.03 8. 78.54 9. 380.13 10. 19.63 11.28.27
This line plot shows the estimated amount of glue needed for summer projects at a camp. Kiki chose a project whose estimated amount of glue needed is the estimated amount needed by most projects. James chose a project with the least estimated amount of glue needed. How much more glue is Kiki estimated to need than James?
Answer:
Step-by-step the answer is 3/4
Kiki is estimated to need more 1/4 glue that James
How to interpret the line plots?From the complete question, we have the following highlights:
Most amount = 2 1/4Least amount = 2 1/2This means that:
Kiki chose a project that requires 2 1/4 glue while James chose a project that required 2 1/2
The difference (d) is:
d = 2 1/2 - 2 1/4
Evaluate
d = 1/4
Hence, Kiki is estimated to need more 1/4 glue that James
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Please answer NOW! I need answers! First person gets Brainliest.
Answer:
3 and 4 is correct
Step-by-step explanation:
that's the only 2 numbers that is correct
A small town surveyed 250 adults,
150 of the adults who
180 of whom were parents, about whether a park should be expanded The results showed that
were parents and 40
of the adults who were not parents thought the park should be expanded.
Use this information to complete the two-way table.
Enter your answer by filling in the boxes to complete the table.
Should the park be expanded?
Yes
No
Parents
Not parents
According to the findings, 40 of the adults who were not parents and 150 of the adults who were parents believed that the park should be expanded.
The park be expanded?250 adults, 180 of whom are parents, leaving 70 adults who are not parents (250 - 180). According to the findings, 40 adults without children and 150 adults with children said the park should be expanded. Thus, 180 – 150 = 30 parents.
Parents: YES OR NO Not parents: 40 | 30 of 150
In this exercise, we must determine the values of the voters who supported expanding the parking lot, which requires that we:
In fact, parents will be 150, not 40.
Parents won't be 30 in total; they'll be 40. Instead, a park should be built to accommodate 250 persons, 180 of whom were parents.
The park should be extended, according to 40 of the people who weren't parents.
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Triangle FGH has vertices F(1, –5), G(6, 0), and H(1, 0). What is the approximate perimeter of this triangle?
If a circle has a radius of 7/4 cm, what is the diameter?
Responses
a) 3 1/2 cm
b) 7/8 cm
c) 1 3/4 cm
d) 2 1/4 cm
Answer:
Step-by-step explanation:
Answer:
Option A) [tex]3\frac {1}{2}[/tex]
Step-by-step explanation:
In order to find the diameter you need to multiply the radius x 2
Over here the radius is given as 7/4cm
But the diameter is
[tex]\frac{7}{4} X\frac{2}{1}[/tex] = [tex]\frac{7}{2}[/tex]
And when we simply the mixed fractions we only get one possible answer
which is [tex]3\frac{1}{2} = \frac{7}{2}[/tex] Option A)
what is the correct way to read 201,445
Answer:
Step-by-step explanation:
two hundred one thousand four hundred forty five
Answer:
two-hundred one thousand four hundred-forty-five
Hope this helps!
Mark me brainliest if I'm right :)
Help!!!!!!!!!!!!!!!!!!!!!
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
CL congruent with CM
WX congruent with YZ
32 = 32
Please help last math question please plz 50 pts
Answer:
33
Step-by-step explanation:
because there are 66 squares and 1/2 is shaded so 33
mark me brainliest mark me brainliest
There are 14 red balls and 18 blue balls in an urn. A person selects one ball at random and then selects a second ball at random without replacing the first ball. What is the probability that the first ball is blue and the second ball is red?
Answer: 25.4%
Step-by-step explanation:
1.25.4%
2.24.5%
3.2/3
4.83.3%
5.62.5%
Scores on the Wechsler Adult Intelligence Scale (a standard IQ test) for the 20-to-34 age group are approximately normally distributed with μ = 110 and σ = 25. What percent of people aged 20 to 34 have IQs between 125 and 150?
The percentage of people aged 20 to 34 that have IQs between 125 and 150 of people aged 20 to 34 have IQs between 125 and 150 is 21.94%
What is percentage?Percentage simply means a proportion of the number as a fraction of 100
What percent of people aged 20 to 34 have IQs between 125 and 150?
Let X = Scores on the standard IQ test for the 20 to 34 age group
This implies that X ~ Normal(x=110, б² = 25)
The z-score probability distribution for the normal distribution is given by; Z = (x-ц)/б ~ N(0,1)
Recall that population mean = 110 and standard deviation = 25
Now, the percent of people aged 20 to 34 have IQs between 125 and 150 is given by = P(125 < X < 150) = P(X < 150) - P(X 125)
P(X < 150) = P( < ) = P(Z < 1.60) = 0.9452
P(X 125) = P( ) = P(Z 0.60) = 0.7258
The above probability is calculated by looking at the value of x = 1.60 and x = 0.60 which has an area of 0.9452 and 0.7258.
Therefore, P(125 < X < 150) = 0.9452 - 0.7258 = 0.2194 or 21.94%
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use the equation y=7x to complete the table what are the missing values
Answer:
your answer is correct
Step-by-step explanation:
7(2) = 14
7(4) = 28
Is the answer 650 or 277 ?
Answer:
Step-by-step explanation:
find the equation of a line parallel to y=-5x+3 that pases through the point -3,-4
Answer:
y = -5x -19
Step-by-step explanation:
You want the equation of the line parallel to y=-5x+3 through point (-3, -4).
Parallel linesThe equations of parallel lines differ only in their constant. We can find the new constant by using the values at the given point:
y = -5x +b
-4 = -5(-3) +b
b = -4 -15 = -19 . . . . . . subtract 15
The equation is ...
y = -5x -19
What number is NOT needed to find the range? Median Smallest value Largest value
Answer:
can u be more specific so i can properly help u
Explanation:
pls explain and i will edit my answer
Which statement is true based on a graph of the line that passes through the given coordinates? (2, 1), (3,3), (5,7), (6,9) Please help
A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B. The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D. The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin. Option C
What is a proportional relationship?We can say that a relationship is proportional when the relation does lead to a straight line graph and the graph would have to be able to pass through the origin.
Hence, even if we have a straight line graph but the graph does not pass through the origin of the graph then we can not say that the relationship that is existing between the coordinates that have been shown is proportional.
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In ΔSTU, the measure of ∠U=90°, US = 5.9 feet, and TU = 2.6 feet. Find the measure of ∠T to the nearest tenth of a degree.
Answer:
66.2°Step-by-step explanation:
ΔSTU is a right triangle.
US and TU are legs, SU is opposite to ∠T.
Use tangent to find the measure of ∠T.
tan ∠T = 5.9 / 2.6tan ∠T = 2.269m∠T = arctan (2.269) = 66.2° (rounded)PLSS GUYS HELP MEEEEEEEE PLS
The value of x is 10°.
What is a measure of an angle?
Since an angle is measured in degrees, the term "degree measure" is used. Since 360 degrees make up one full revolution, it is divided into 360 equal sections. A degree is what the revolution is at each stage.
Here, we have
The measure of ∠AOC is 90°.
3x° + 46° +14° = 90°
3*10° + 46 + 14° = 90°
Hence, the value of x is 10.
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The value of x is 10°.
What is a measure of an angle?Since an angle is measured in degrees, the term "degree measure" is used. Since 360 degrees make up one full revolution, it is divided into 360 equal sections. A degree is what the revolution is at each stage.
What is angle?An angle is a measure of the amount of rotation between two rays or lines that share a common endpoint, called the vertex of the angle. The two rays or lines are called the sides of the angle, and the endpoint is called the vertex.
Here, we have
The measure of ∠AOC is 90°.
3x° + 46° +14° = 90°
3*10° + 46 + 14° = 90°
Hence, the value of x is 10.
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The table describes the quadratic function h(x).
x h(x)
−3 −2
−2 −3
−1 −2
0 1
1 6
2 13
3 22
What is the equation of h(x) in vertex form?
h(x) = (x + 2)2 − 3
h(x) = (x + 1)2 − 2
h(x) = (x − 1)2 + 2
h(x) = (x − 2)2 + 3
The quadratic equation that describes the function is
f(x) = x² + 4x + 1
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is the table that describes the quadratic function h(x) as follows -
{x} h{x}
−3 −2
−2 −3
−1 −2
0 1
1 6
2 13
3 22
The quadratic equation is of the form given -
y = ax² + bx + c
For the point (0, 1), we can write -
1 = c ..... Eq{1}
For the point (1, 6), we can write -
6 = a + b + 1
a + b = 5 ...... Eq{2}
For the point (2, 13), we can write -
13 = 4a + 2b + 1
4a + 2b = 12 ...... Eq{3}
From Eq{2}, we can write -
a = 5 - b
So, the equation 3 can be written as -
4(5 - b) + 2b = 12
20 - 4b + 2b = 12
20 - 2b = 12
2b = 8
b = 4 ...... Eq{4}
then
a = 1 ...... Eq{5}
So, we can write the quadratic equation as -
f(x) = x² + 4x + 1
Therefore, the quadratic equation that describes the function is
f(x) = x² + 4x + 1
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Expand and simplify
(X-2)(3x+3)(x+1)
Answer:
5x+2
Step-by-step explanation:
Complete this division sentence.
5884÷94 =
R
The remainder of the given division 5884/ 94 is 56 and hence the complete sentence is 5884/94 = 62 + 56/94.
What is remainder and how to find a remainder?The amount that remains after division is complete is known as a remnant. Simply divide the number by another number that is one of its multiples to obtain the remainder.
The division of any number can be written as follows:
a/n = q + r/n
where, a is the dividend, n is the divisor, r is the remainder and q is the quotient.
When we divide the number 5884 by 94 using the long division method the quotient is 62 and the remainder is 56.
Hence, the complete sentence is 5884/94 = 62 + 56/94.
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You want to compare the ratios 3:12 and 7:28 to see if they're equal. You know that you need to compare the products of the extremes against the product of the means. Which two values are the means for this comparison? A. 3 and 7 B. 12 and 28 C. 3 and 28 D. 12 and 7
Answer:
Step-by-step explanation:
3:12 7:28
The means are the second and third terms in the proportion.
The extremes are the two outside terms.
12 and 7 are the means.
(3 and 28 are the extremes.)
So thre answer is D. 12 and 7.
Which statements are true about the figure? Check all that apply.
THE COM
5725
The figure is a triangular prism.
The figure is a rectangular pyramid.
ООО
The figure has 6 vertices.
The figure has 6 faces.
The figure has 9 edges.
Answer:
b took the test
Step-by-step explanation:
The true statements about the figure are (a) The figure is a triangular prism, (c) The figure has 6 vertices and (e) The figure has 9 edges.
What is Triangular Prism?Triangular prisms are three dimensional figure consisting of two triangular bases and three rectangular lateral faces.
Given that, a net has 3 rectangular faces and 2 triangular faces.
This must be a triangular prism by the definition of triangular prism.
The figure will not be a rectangular pyramid since the rectangular pyramid only has 1 rectangular base.
The number of vertices are 6, since there are three vertices for each triangle.
There are only 5 faces for the given net which is 3 rectangular faces + 2 triangular faces.
There are 3 edges each for two triangles forming 6 edges and there 3 edges for the rectangle, a total of 9 edges.
Hence the correct statements are (a), (c) and (e).
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Your question is incomplete. The complete question is as follows :
Which statements are true about the figure? Check all that apply.
A net has 3 rectangular faces and 2 triangular faces.
a)The figure is a triangular prism.
b)The figure is a rectangular pyramid.
c)The figure has 6 vertices.
d)The figure has 6 faces.
e)The figure has 9 edges.
13. if 4/5 x blank=2/5 what is blank?
Answer:
1/2
Step-by-step explanation:
4/5x=2/5
x=(2/5)/(4/5)
x=(2/5)(5/4)
x=2/4
x=1/2
find each angle measure to the nearest degree
lol who wanna do 1, 3, 5 and 7 for me (the odds)
hope this helps you
Please help will mark Brainly
Answer:
371 children
Step-by-step explanation:
289*$2,5 + 371*$1,5 = $1279