Answer:
Answer is D. Increase his output.
Refer below.
Step-by-step explanation:
Mark owns a cattle ranch near Hugo, Oklahoma. Mark is currently producing beef at an output level where marginal revenue exceeds marginal cost. In order to
maximize his profit, Mark should increase his output.
Let G be the number (in billions) of new green tea sales. Let I be the number in billions)
of new fruit juice sales. During a 20-year period, G and I can be modeled by the following
equation, where t is the time in years).
G = 674 + 3t – 2t² + 5t + 60
J = 314 - 31 + 512 - 5t + 45
Find a new model A for the total number of new green tea and fruit juice sales.
The new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 1574 + 3t - 2t².
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that during a 20-year period, G and I can be modeled by the following equation (where t is the time in years) :
G = 674 + 3t – 2t² + 5t + 60
I = 314 - 31 + 512 - 5t + 45
where {G} is the number (in billions) of new green tea sales and {I} be the number in billions of new fruit juice sales.
A new model {A} for the total number of new green tea and fruit juice sales can be written as -
{A} = {G} + {I}
{A} = 674 + 3t – 2t² + 5t + 60 + 314 - 31 + 512 - 5t + 45
{A} = (674 + 60 + 314 - 31 + 512 + 45) + (3t + 5t - 5t) - 2t²
{A} = 1574 + 3t - 2t²
Therefore, the new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 1574 + 3t - 2t².
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Final answer:
To create a new model for the total sales of green tea and fruit juice, the sales equations for both products are added together and simplified, resulting in the model A = 3t² + 1093, representing combined sales in billions as a function of time in years.
Explanation:
To find a new model A for the total number of new green tea and fruit juice sales, we need to combine the models given for G (green tea sales) and J (fruit juice sales). The models provided had some errors, but they should be:
G = 674 + 3t – 2t² + 5t + 60
and
J = 314 – 3t + 5t² – 5t + 45
Combining these models to form A (total sales), we add G and J together:
A = G + J
= (674 + 3t – 2t² + 5t + 60) + (314 – 3t + 5t² – 5t + 45)
Now, we simplify the equation by combining like terms:
A = (674 + 314) + (3t – 3t) + (5t – 5t) – 2t² + 5t² + (60 + 45)
A = 988 + 0t + 0t + 3t² + 105
A = 988 + 3t² + 105
A = 3t² + 1093
Therefore, the new model A for the total sales is A = 3t² + 1093. This model represents the combined sales of green tea and fruit juice in billions of dollars during the 20-year period as a function of time t in years.
Bill is planning to paint the back of his house. What is the total area that he will be painting?
Answer:
A- 462.86
Step-by-step explanation:
What is the volume of this container ?
Answer:
1875 cm>3 i think
Step-by-step explanation:
Ronald works in an Ornithology (bird maintenance) department. Students asked him to find out the best estimate of the local bird population. So he tied a belt around the legs of 40 birds. A few days later, he observed 520 birds, 34 of which had belts. To the nearest whole number, what is the best estimate for the bird population?
Answer:
618 birds.
Step-by-step explanation:
Let the estimated number of birds=x
Out of x birds, he tied a belt around the legs of 40 birds.
When he observed 520 birds, 34 of which had belts.
Expressing each as a ratio
[tex]\frac{x}{40}=\frac{520}{34}[/tex]
Cross Multiply
34x=520X40
x=520X40÷34=611.7≈618
There are an estimated 618 birds.
Answer:
The best estimate for the bird population is 613 birds
Step-by-step explanation:
Let x be the total of number of estimated bird
From x, 40 birds are with belt
he observed 520 birds, 34 of which had belts.
Then taking reciprocal of both statements
x/40 = 520/34
34x = 520*40 = 20800
x = 20800/34
x = 613The total of number of estimated birds is 613 birds
The total of number of estimated birds is 613 birds
32.15 is written correctly in EXPANDED FORM using FRACTIONS
Answer:
32.15 = (3 x 10) + (2 x 1) + (1/10) + (5/100)
Step-by-step explanation:
Olivia works 3-hour shifts at the
library. She is paid $45 per shift.
What equation can be used to
represent the amount of money
Olivia earns, m, for working a
total of h hours?
Answer:
14 hours
antonio es gay
Step-by-step explanation:
This set of ordered pairs is a function (22, 4), (21, 1), (0, 0), (1, 1), and (2, 4).
Please explain like you were teaching how you can know this is a function.
Answer:
Step-by-step explanation:
You know these ordered pairs are considered a function, because the x intercepts do not repeat themselves. In other words, each input numbers are different. If these ordered pairs were not a function, the x intercept would be repeating. For example, 22 is already a x intercept, (22,4), if 22 was put in as another x intercept like,(22,1) these ordered pairs would not be a function.
Score on a test are normally distributed with a mean of 63.2 and standard deviation of 11.7 find, P 81 which separates the bottom81% from top 19%
Answer:
P 81 = 73.5
Step-by-step explanation:
This is a normal distribution problem with a mean of 63.2 and standard deviation of 11.7.
Let the number that separates the bottom 81% from the top 19% be x' and let it's z-score be z'.
P(x ≤ x') = P(z ≤ z') = 0.81
Using the normal distribution table,
z' = 0.878
But note that the z-score for any value is that value minus the mean divided by standard deviation.
z' = (x' - μ)/σ
0.878 = (x' - 63.2)/11.7
x' = 73.4726 = 73.5 to 1 d.p
Hope this Helps!!!
Final answer:
To find the value that separates the bottom 81% from the top 19%, you can use the z-score formula and the given mean and standard deviation to calculate the desired value.
Explanation:
To find the value that separates the bottom 81% from the top 19%, we need to find the z-score corresponding to the 81st percentile.
Using the formula Z = (X - μ) / σ where X is the given value, μ is the mean, and σ is the standard deviation, we can rearrange it to solve for X as:
X = Z * σ + μ
Since we know the mean is 63.2 and the standard deviation is 11.7, we can calculate the z-score corresponding to the 81st percentile (0.81) using the standard normal distribution table or a calculator.
Once we have the z-score, we can substitute it into the formula to find the corresponding value.
Each child spent a portion of their day playing.
Amanda spent 37%
Marcus spent 21%
Nick spent 3/7
Pat spent 2/9
Which list shows them in order from the least amount of time to the greatest amount of time spent playing?
Question 3 options:
A. Nick, Amanda, Pat, Marcus
B. Pat, Marcus, Amanda, Nick
C. Nick, Amanda, Marcus, Pat
D. Marcus, Pat, Amanda, Nick
1. The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet
up on the wall, how long is the ladder?
Answer:
The answer is C
Step-by-step explanation:
32 of the rabbits are Male.
9 of the female rabbits are black.
14 of the white rabbits are Male.
Answer:
(Male White Rabbits Count: 14) (Male Black Rabbits Count: 18) (Female White Rabbits Count: 0) (Female Black Rabbits Count: 9)
Step-by-step explanation:
In order to get this answer you have 9 rabbits that are black and 0 white rabbits. Then there is 32 male rabbits and 14 of them are white so you subtract 14 from 32 and the rest is black rabbits which is 18. Now you have all of your answers.
Answer:
for b) the answer is 7/48
this wasn't included in the last answer so here it is.
Step-by-step explanation:
white female rabbit number/the overall total
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,228 was collected on the
sale of 1,340 tickets. How many of each type of ticket were sold?
Answer:
Okay, so 2 years later, here's your answer.
472 adult tickets and 868 student tickets were sold.
Step-by-step explanation:
Let x be the number of adult tickets sold.
Let y be the number of student tickets sold.
Your Equations:
x + y = 1340 tickets
5x + (1)y = $3228
Isolate the y variable:
y = 1340 - x
y = 3228 - 5x
Substitute:
1340 - x = 3228 - 5x
Solve:
1340 - x = 3228 - 5x
Add 5x on both sides
1340 + 4x = 3228
Subtract 1340 on both sides
4x = 1888
Divide 4 on both sides
x = 472
Plug in x into an equation:
472 + y = 1340
Subtract 472 on both sides
y = 868
472 adult tickets were sold
868 student tickets were sold.
Voted myself a 1-star XD
Find the circumference and the area of a circle with radius 5 cm.
Write your answers in terms of n, and be sure to include the correct units in your answers.
The circumference of the circle is 10π cm, and the area is 25π cm².
The formulas for the circumference (C) and area (A) of a circle in terms of
the radius (r) are:
Circumference (C) = 2πr
Area (A) = πr²
Given that the radius (r) is 5 cm, we can substitute this value into the formulas:
Circumference (C) = 2π(5) = 10π cm
Area (A) = π(5)² = 25π cm²
So, the circumference of the circle is 10π cm, and the area is 25π cm².
The positions are 1,2,3,4 please answer this quickly it is due soon I will mark brainiest and I will give 14 points
Answer:
Step-by-step explanation:
This is Arithmetic sequence
a = first term= 4;
d= difference =second term - first term = 7 - 4 = 3
n= position
nth term = a + (n-1)*d
1st term = 4 + (1-1)*3 = 4 + 0 = 4
2nd term = 4 + (2-1)*3 = 4 + 1*3 = 4+3 = 7
5th term = 4 + (5-1)*3 = 4 + 4*3 = 4 + 12 = 16
6th term = 4 + (6-1)*3 = 4 + 5*3 = 4 + 15 = 19
or
To get the next term add the difference [3] to the previous term.
5th term = 13 +3 = 16
6th term = 16 + 3= 19
Help me solve the bottom question please ill give you brainliest (idk how to spell it)
Answer:
area is 6.9cm2
Step-by-step explanation:
you just multiply it out and divide by 2
In the figure below, angle ABD measures 37 degrees. What is the measure of angle ABC?
A. 64 degrees
B. 74 degrees
C. 47 degrees
D. 37 degrees
Answer:
B. 74 degrees
Step-by-step explanation:
sorry im not good at writing math explantions I hope this drawing helps.
The measure of angle ABC is 74 degrees.
What is the measured angle of ABC?Given:
The measure of ABD is 37 degrees.The measure of BCD is 90 degrees.The measure of DAB is 90 degrees.Find:
The measure of ABC.Solution:
As we know that BAD is forming a triangle that will have 180 degrees if all the angles of the triangles are summed together.
So, ABDA=180 degrees.
Now, ADB=180-(ABD+DAB)=180-(90+37)=180-127=53 degrees.
So, 90+37=127 degrees and 90+53=143 degrees.
Now, we will subtract them to get CBD,
CBD=143-127=37 degrees.
Therefore, ABC= CBD+ABD=37+37=74 degrees.
Hence, the measure of angle ABC is 74 degrees.
Therefore, option (B) is the correct answer.
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jane and jill were simplifying the expression (2x2+x) +2(-x2+×) and obtained different answers . who is right and why?
Jane is correct because Jane correctly simplified the expression to [tex]\(3x\)[/tex].
Let's carefully simplify the expression [tex]\((2x^2 + x) + 2(-x^2 + x)\)[/tex] step-by-step to determine who is correct, Jane or Jill.
Starting with the given expression:
[tex]\[(2x^2 + x) + 2(-x^2 + x)\][/tex]
We first distribute the [tex]\(2\)[/tex] in [tex]\(2(-x^2 + x)\):[/tex]
[tex]\[(2x^2 + x) + (-2x^2 + 2x)\][/tex]
Next, we combine like terms. We combine the \(x^2\) terms and the \(x\) terms separately:
[tex]\[(2x^2 - 2x^2) + (x + 2x)\][/tex]
Simplify each group of like terms:
[tex]\[0x^2 + 3x\][/tex]
This simplifies to:
[tex]\[3x\][/tex]
Therefore, the correct simplification of the expression [tex]\((2x^2 + x) + 2(-x^2 + x)\) is \(3x\)[/tex].
Jane’s solution is:
[tex]\[\begin{aligned}& = (2x^2 + x) + 2(-x^2 + x) \\& = (2x^2 + x) + (-x^2 + x) + (-x^2 + x) \\& = (2x^2 - x^2 - x^2) + (x + x + x) \\& = 3x\end{aligned}\][/tex]
Jill’s solution is:
[tex]\[\begin{aligned}& = (2x^2 + x) + 2(-x^2 + x) \\& = (2x^2 + x) - 2x^2 + 2x \\& = 2x\end{aligned}\][/tex]
Jane correctly simplified the expression to [tex]\(3x\)[/tex], while Jill made an error by not correctly distributing the [tex]\(2\)[/tex] in the term [tex]\(2(-x^2 + x)\)[/tex].
The complete question is
Jane and jill were simplifying the expression (2x²+x) +2(-x²+x) and obtained different answers. Who is right and why?
Jane
[tex]$$\begin{aligned}& =\left(2 x^2+x\right)+2\left(-x^2+x\right) \\& =\left(2 x^2+x\right)+\left(-x^2+x\right)+\left(-x^2+x\right) \\& =\left(2 x^2-x^2-x^2\right)+(x+x+x) \\& =3 x\end{aligned}$$[/tex]
Jill
[tex]\begin{aligned}& =\left(2 x^2+x\right)+2\left(-x^2+x\right) \\& =\left(2 x^2+x\right)-2 x^2+x \\& =2 x\end{aligned}[/tex]
Charlie has a $55 per month cell phone plan. The sales tax on his plan is 8%. Which expressions can be used to determine how much Charlie will pay each month in total (including tax)? (Select the TWO correct responses)
Option 4 55(108/100)
Option 2 55(0.08)
Option 3 55(8/100)
Option 1 55(1.08)
Answer:
The correct answers are Option 4 55(108/100) and Option 1 55(1.08)
Step-by-step explanation:
To begin, we must analyze the information we have and establish the result, in order to compare it with the results of the operations that the answers offer.
We know that the total Charlie pays for his cell phone plan is $ 55 + 8% tax.
One of the possible ways in which you can calculate a percentage would be in this case:
(55.8) : 100
440 : 100 = 4.40
This indicates that the tax was 4.4 added to 55, giving us a total of 59.4.
Now we just have to check that options 4 and 1 are correct. Let's see:
55 (108/100) =
55 (1.08) = 59.94
This last section is exactly the same as option 1, which also makes it a correct answer.
4x² - 4x - 5=8x+6
Simplest radical form
Answer:
4^2 + 4x= 1
Step-by-step explanation:
4x^2 - 4x - 5= 8x +6
4x^2- 4x+8x =6-5
4x^2 + 4x =1
Angles 1 and 2 are complementary. If ∠1 measures 56°, what is the measure of ∠2?
Final answer:
To find the measure of angle 2, which is complementary to angle 1 with a measure of 56°, subtract 56° from 90°, resulting in angle 2 measuring 34°.
Explanation:
If angles 1 and 2 are complementary, it means that the sum of their measures is 90 degrees. Since the measure of ∠1 is given as 56°, we can find the measure of ∠2 by subtracting the measure of ∠1 from 90 degrees:
Measure of ∠2 = 90° - Measure of ∠1
Measure of ∠2 = 90° - 56°
Measure of ∠2 = 34°
Therefore, the measure of ∠2 is 34 degrees.
26)
Which expression demonstrates the distributive property applied to the expression 4(3 + 7)?
4 (7 + 3)
4 x 3 +7
4* (7 * 3)
4x3+4x7
Answer:
The answer is D.
Step-by-step explanation:
Distributive Property
4x3=12
4x7=28
28+12=40
35 total girls and 50 total boys were surveyed. How
many students bought their lunch from the cafeteria?
Round to the nearest whole number.
students
Answer:
36 students
Step-by-step explanation:
right on edge
The total number of students bought their lunch from cafeteria is 36.
Given data:
The total number of girls is 35 and the total number of boys is 50.
Probability of boys bought their lunch from cafeteria = 0.44
Since total no. of boys =50
So, number of boys bought their lunch from cafeteria P ( B ) = 50*0.44
And, the value of P ( B ) = 22
Probability of girls bought their lunch from cafeteria = 0.4
Since total no. of girls =35
So, number of girls bought their lunch from cafeteria P ( G ) = 35*0.4
So, the value of P ( G ) = 14
The total number of students , n = P ( B ) + P ( G )
So, n = 22 + 14
n = 36
Hence , the number of students is 36
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The complete question is attached below:
35 total girls and 50 total boys were surveyed. How many students bought their lunch from the cafeteria? Round to the nearest whole number.
There are 500 coffins and 500 hundred men who need them.The undertaker asks the first man to go to every coffin and open them,then he tells the 2nd man to go to every one and close it.The 3rd one goes to every 3rd coffin and so on.How many are open?
Answer:
22
Step-by-step explanation:
No coffin will be opened at the end of 500th man .
Given,
500 coffins and 500 hundred men
Here,
First man opens all the coffins, but the second man closes every second coffin, which means that the odd-numbered coffins are closed again.
Then, the third man goes to every third coffin and closes it, which means that the coffins that are multiples of 3 are closed again.
This pattern continues with each subsequent man, so by the time the 500th man goes to the coffins, all of them will be closed.
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What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?
My current table is x | y the original equation is also y=-x^2+36
-2 36
-1 35
0 36
1 35
Answer:
Input functions is called Domain Output functions is called Range
Step-by-step explanation:
what is perpendicular to -96/17
Answer:
[tex]\frac{17}{96}[/tex]
Step-by-step explanation:
Given m = - [tex]\frac{96}{17}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{96}{17} }[/tex] = [tex]\frac{17}{96}[/tex]
Which number can each term of the equation be multiplied by to eliminate the decimals before solving?
-m + 0.02 + 2.1m = -1.45 -4.81m
A. 0.01
B. 0.1
C. 10
D. 100
Answer:
D. 100.
Step-by-step explanation:
-m + 0.02 + 2.1m = -1.45 -4.81m
Multiply by 100:
-100m + 2 + 210m = -145 - 481m
Solve the center and radius for both equation below
and I really need help
Answer:
For the one on the left:
Center: (-15,-7)
Radius: 1.73
For the one on the right:
Center:(3,-11)
Radius: 6
Step-by-step explanation:
I used the desmos graph and it calculated when the circle was, And i counted where these items were
How can you use the Pythagorean Theorem to solve real-world problems?
You can use the Pythagorean Theorem to find missing ________ (angles or lengths) in objects that are_________. ( squares, right triangles, or equilateral Triangles)
You can use the Pythagorean Theorem to find missing lengths in objects that are right triangles.
What is Pythagorean Theorem?The Pythagorean Theorem is a mathematical principle that relates to right triangles. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
You can use the Pythagorean Theorem to find missing lengths in objects that are right triangles.
The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
By rearranging the formula, you can solve for the missing length when given the lengths of the other two sides.
This can be applied to real-world problems involving measurements of objects or distances, such as determining the length of a ladder needed to reach a certain height on a wall or calculating the distance between two points on a map.
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Wyd? Can u help with these plz
Answer:
Step-by-step explanation:
what you need to do is look at the question again it say 10 feet above sea level and the other one is 7 feet below sea level. now read your question again hope you find the answer good luck
Answer:D
Step-by-step explanation: -7 is greater than -10 -10 is lower
Matthew bought a laptop for $34,000 in the year 2008. Its value depreciates by 4% per year. What is the
value of laptop in 2011?
The value of the laptop in 2011 will be $29920
Step-by-step explanation:
Cost of the laptop = $34000
Rate of decrease in value per year = 4%
Total time = 3 years
The Value decrease in 2011 = (34000 x 4 x 3) /100
= $4080
The value of the laptop in 2011 = 34000-4080
= $29920
The value of the laptop in 2011 will be $29920