The estimated marginal profit associated with producing X widgets is given by, p'(x)=-0.4x+20 where p'(x) is measured in dollars per unit per month when the level of production is X widgets per month. If the monthly fix cost for producing and selling the widgets is $80, find the maximum monthly profit.
$380 $420 $370 $460 $400
The maximum monthly profit is $420. To find the maximum monthly profit, we need to find the production level (X) that will maximize the profit.
We can do this by setting the marginal profit equation equal to zero and solving for X:
p'(x) = -0.4x + 20 = 0
0.4x = 20
x = 50
So, the production level that will maximize the profit is 50 widgets per month.
To find the maximum monthly profit, we need to calculate the total monthly revenue and subtract the fixed cost. The total monthly revenue can be calculated as the product of the price per unit and the number of units sold:
p(x) = -0.2x^2 + 20x
p(50) = -0.2(50)^2 + 20(50) = $500
So, the total monthly revenue is $500.
The maximum monthly profit can now be calculated as:
Profit = Total Revenue - Fixed Cost
Profit = $500 - $80
Profit = $420
Therefore, the maximum monthly profit is $420.
So, the answer is $420.
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que es una computadora cuantica
A quantum computer is a type of computer that uses quantum mechanics.
How do quantum computers work ?Quantum computers use quantum mechanics, a branch of physics that deals with the behavior of matter and energy at the subatomic and quantum scale, to perform operations and solve problems.
Unlike classical computers, which use binary digits (bits) to represent and process information, quantum computers use quantum bits, or qubits, which can exist in multiple states at the same time, allowing for exponentially faster processing of complex computations and simulations. Quantum computers have the potential to revolutionize fields such as cryptography, drug discovery, and artificial intelligence.
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how many solutions are there to the equation 4(x-5)=3x+7
Answer:
1, and that is 27
Step-by-step explanation:
4(x-5)=3x+7
4x-20=3x+7
4x-3x-20-7=0
x-27=0
x=27
Work out this please?
Answer:
7 boxes of pencils, 5 boxes of erasers
Step-by-step explanation:
LCM of 10 and 14 is 70.
10 = 2 × 5, 14 = 2 × 7
70 ÷ 10 = 7 boxes of pencils
70 ÷ 14 = 5 boxes of erasers
Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating. 15% tip on a bill of $706.03 The amount of the tip is approximately
Answer: To estimate the tip, you can first round the bill to the nearest ten dollars. In this case, $706.03 rounded to the nearest ten dollars is $710.
Next, you can calculate the tip by multiplying the rounded bill amount by the tip percentage, 15% in this case.
15% of $710 is 15/100 * 710 = 106.50
So the amount of the tip is approximately 106.50
It's worth mentioning that this method of approximation is not always precise, but it can be a quick and easy way to calculate an estimate when you don't need a very precise answer.
Step-by-step explanation:
(b) Sketch a typical 'S - N' curve for a metal alloy. Explain what it represents and the effect of increasing the mean stress on your curve. (5 marks)
Mean stress has a significant impact on the S-N curve for a metal alloy, affecting the fatigue life and stress levels for safe design.
The S-N curve is the graphical representation of the fatigue life of a material as it relates to cyclic loading. S-N curves are used to determine the safe design and stress levels for a material subjected to cyclic loading.
It has two axes that are the stress range and number of cycles to failure (fatigue life). A typical S-N curve for a metal alloy is shown below:Effect of mean stress on an S-N curve: The effect of mean stress on an S-N curve can be observed in the reduction of fatigue strength.
The mean stress is the portion of the stress that does not vary with time. The slope of the S-N curve changes with mean stress. It shifts the curve to the left for compressive mean stress and to the right for tensile mean stress. The higher the mean stress, the more it reduces the fatigue life and the slope of the curve decreases.
The curve becomes less steep with increasing mean stress, which means the fatigue strength of the material is decreasing. In fact, at very high mean stresses, the material may fail even at very low stress amplitudes.
Therefore, mean stress has a significant impact on the S-N curve for a metal alloy, affecting the fatigue life and stress levels for safe design.
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Absolute value equation with solution -3
Answer:
m=-3/5
Step-by-step explanation:
Sierra and Alex each have five
Answer:
=10
Step-by-step explanation:
Find the range of the graphed function.
Range is set of all y-values. To find a range of graphed function, we need to know that range starts from the minimum value of graph to maximum value. That's because the minimum value is the least value that you can get by substituting the domain and the maximum value is the largest value that you can get by substituting the domain as well.
Now we don't talk about domain here, we talk about range. See the attachment! You are supposed to focus on y-axis, plane or vertical line. See how the minimum value of function is the negative value while the maximum value is positive.
That means any ranges that don't contain the negative values are cleared out. (Hence A and C choices are wrong.)
Next, range being set of all real numbers mean that graphed functions don't have maximum value or minimum value (We can say that both max and min are infinite.)
Take a look at line graph as an example of range being set of all real numbers, or cubic function.
Answer/Conclusion
The range exists from negative value which is -9 to the maximum value which is 5.That means the range is -9<=y<=5Annabelle is working two summer jobs, making $10 per hour babysitting and making $20 per hour lifeguarding. In a given week, she can work no more than 19 total hours and must earn no less than $290. If Annabelle worked 3 hours babysitting, determine the minimum number of whole hours of lifeguarding that she must work to meet her requirements.
Answer:
she would need to work at least 13 hours lifeguarding to get to the 290 her with the of working an extra 3 hours
Step-by-step explanation:
subtract the 30 dollars from babysitting from the 290 needed you 260 then divide it by 20
How many bicycles altogether on merton street
4 houses have 0 bicycles
4 x 0 = 0
2 houses have 1 bicycle
2 x 1 = 2
3 houses have 2 bicycles
3 x 2 = 6
5 houses have 3 bicycles
5 x 3 = 15
6 houses have 4 bicycles
6 x 4 = 24
2 houses have 5 bicycles
2 x 5 = 10
0 + 2 + 6 + 15 + 24 + 10
2 + 21 + 34
23 + 34
57
There are 57 bicycles altogether on merton street.
Hope this helps!
using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?
According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.
According to the statement
We have to find that the value of the combination.
So, For this purpose, we know that the
A combination could be a mathematical technique that determines the quantity of possible arrangements in an exceedingly collection of things where the order of the choice doesn't matter.
From the given information:
A red pebble is capable 3 yellow pebbles. A blue pebble is adequate a red pebble and a couple of yellow pebbles. Therefore, the blue pebbles will be:
= 3 yellow pebble + 2 yellow pebbles
= 5 yellow pebbles or 15 red pebbles
And
Two blue pebbles will be:
= 10 yellow pebbles
= 3 red pebbles and 1 yellow pebbles.
So, According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.
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Question:
A red pebble is equal to 3 yellow pebbles A blue pebble is equal to a red pebble and 2 yellow pebbles. A green pebble is equal to 3 red pebbles
Using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?
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A square playground has a perimeter of 100 feet. What is the area of the playground?
*
200 square feet
625 square feet
2,500 square feet
10,000 square feet
Answer:
Step-by-step explanation:
If a square has a perimeter of 100 feet, then each side of the square must be 25 feet long, since all four sides of a square are equal.
The area of a square is given by the formula A = s^2, where s is the length of one side of the square. Substituting s = 25 feet, we get:
A = (25 feet)^2
A = 625 square feet
Therefore, the area of the playground is 625 square feet.
Answer:
625 ft^2
Step-by-step explanation:
A square will have all 4 sides equal to each other. Let x be the length of 1 side. The perimeter, P, of such a square would be:
P = 4x
We are told that p = 100 feet
100 feet = 4x
x = 25 feet
Each side has a length of 25 feet.
The area of this square wuld be (25')*(25') = 625 ft^2
A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. which statements about the parabola are true? select two options.
The true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.
What are parabolas?Parabolas are examples of a conic section such that it is formed by the intersection of a cone with a plane parallel to its side.
How to determine the true statements?From the question, the given parameters are:
Vertex = (0,0)
Focus = Negative side of the y-axis
A parabola has quite a number of forms, one of these forms is the general form.
The general form is represented as:
(x - h)^2 = 4p(y - k)
The vertex of the parabola is
(h, k) = (0, 0).
So, we have:
(x - 0)^2 = 4p(y - 0)
Evaluate the difference
x^2 = 4py
Since the focus is on the negative side, the value of p will be negative.
Also, because the vertex is at the origin, the directrix of the parabola will cross through the positive part of the y-axis.
This means that the true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.
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Complete question
A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. Which statements about the parabola are true?
Check all that apply.
The directrix will cross through the positive part of the y-axis.
The equation of the parabola will be in the form y2 = 4px where the value of p is negative.
The equation of the parabola will be in the form x2 = 4py where the value of p is positive.
The equation of the parabola could be y2 = 4x.
The equation of the parabola could be x2 = y.
True or False: When conducting a survey of a group of people, you must interview every person in that population A Truc B False
In ΔDEF, the measure of ∠F=90°, DE = 8.8 feet, and EF = 6.4 feet. Find the measure of ∠D to the nearest tenth of a degree.
Answer:
46.7 degrees.
Step-by-step explanation:
According to the given information, triangle DEF is a right triangle with angle F as the right angle. We are trying to find the measure of angle D.
We are given the opposite side length (6.4 feet) and the hypotenuse (8.8 feet), so we can use sine to calculate the angle measure (SOH = Sine; Opposite over Hypotenuse).
sin(D) = 6.4 / 8.8
sin(D) = 64 / 88
sin(D) = 8 / 11
D = arcsin(8 / 11)
D = arcsin(0.72727272727272727272727273)
D = 46.65824177.
So, the measure of angle D is about 46.7 degrees.
Hope this helps!
Which graph has a slope of 4/5?
Answer:
\(\boxed{ Graph. B}\)
Step-by-step explanation:
Hey there!
Well slope is aka rise/run,
so starting at the red dot and rising 4 units an ruing to the right 5 units,
graph b is the correct answer.
Hope this helps :)
Graph B has a slope of 4/5.
How is a slope calculated?Slope is calculated with the aid of finding the ratio of the "vertical change" to the "horizontal alternate" among (any) distinct factors on a line.
What is a slope in a straight line?Typically, the slope of a line offers the measure of its steepness and path. The slope of an instant line among two factors says (x1,y1) and (x2,y2) may be without problems decided by finding the difference between the coordinates of the points. The slope is commonly represented by using the letter 'm'.
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What is 25 °C in °F?
25 °C is equal to 77 °F.
To convert Celsius to Fahrenheit, you can use the following formula: Fahrenheit = (9/5) * Celsius + 32.So when you plug in 25 for Celsius, you get: Fahrenheit = (9/5) * 25 + 32 = (25*9/5) + 32 = 45 + 32 = 77°F.It's important to note that the Fahrenheit and Celsius scales are different ways of measuring temperature.
The Fahrenheit scale is used primarily in the United States, while the Celsius scale is used in most other countries. It is important to be able to convert between the two scales in order to understand temperature measurements in different parts of the world.
Knowing the conversion formula or having a conversion table handy allows to convert quickly and easily between the two scales.
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becky and amber want to rent bikes to ride while they are vacationing at the beach. beach bikes company charges $10 bike fee and $8 per hour. bikes unlimited charges $5 per hour and a $19 bike fee. after how many hours will the two companies cost the same amount?
The time when the two companies would cost the same amount is after 3 hours.
How to determine the number of hours when the two companies cost the same amount?Based on the information provided above, beach bikes company charges $10 bike fee and $8 per hour. Therefore, the total cost, y, can be represented by this equation:
y = 8x + 10 .......equation 1.
where:
x represents the number of hours.
For the second option, bikes unlimited charges $5 per hour and a $19 bike fee. Therefore, the total cost, y, can be represented by this equation:
y = 5x + 19 ....equation 1.
By equating equation 1 and equation 2, we have the following:
8x + 10 = 5x + 19
8x - 5x = 19 - 10
3x = 9
x = 9/3
x = 3 hours.
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Graph the following line 3x+2y=18 and find other combinations
Coordinates of equation 3x + 2y = 18 are (0.9) and (6,0).
Define coordinates.A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y). Coordinates are a collection of numbers that aid in displaying a point's precise location on the coordinate plane. Meaning of a Coordinate Plane. A coordinate plane is a 2D plane that is created by the junction of the x-axis and y-axis, two perpendicular lines.
Given
Equation
3x + 2y = 18
For coordinates,
When x is 0
3(0) + 2y =18
2y = 18
y = 9
Points (0,9)
When y is 0.
3x + 2(0) = 18
3x = 18
x = 6
Points (6,0)
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22.34÷3 please help
Answer:
\(7.446\)
Step-by-step explanation:
\(22.34\) ÷ \(3\)
To solve, let's make 22.34 into a fraction and divide.
\(\frac{22.34}{3}\)
And that equals
\(7.446667\)
Exact form:
\(7.446\)
Now you got your answer!
Hope this helps!
What relationship do the ratios of sin x° and cos yº share?
a. The ratios are both identical (12/13 and 12/13)
b. The ratios are opposites (-12/13 and 12/13)
c. The ratios are reciprocals. (12/13 and 13/12)
d. The ratios are both negative. (-12/13 and -13/12)
The relationship between the ratios of sin x° and cos yº is that they are reciprocals. The correct answer is option c. The ratios of sin x° and cos yº are reciprocals of each other.
In trigonometry, sin x° represents the ratio of the length of the side opposite the angle x° to the length of the hypotenuse in a right triangle. Similarly, cos yº represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.
Since the hypotenuse is the same in both cases, the ratios sin x° and cos yº are related as reciprocals. This means that if sin x° is equal to 12/13, then cos yº will be equal to 13/12. The reciprocals of the ratios have an inverse relationship, where the numerator of one ratio becomes the denominator of the other and vice versa.
It's important to note that the signs of the ratios can vary depending on the quadrant in which the angles x° and yº are located. However, the reciprocal relationship remains the same regardless of the signs.
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8(x + 5) =
simplify each expression by distributing
Answer:
8x + 40
Step-by-step explanation:
Step 1:
8 ( x + 5 )
Step 2:
8 × x + 8 × 5
Answer:
8x + 40
Hope This Helps :)
Answer:
\( \huge{ \fbox{ \sf{8x + 40}}}\)
Step-by-step explanation:
\( \star{ \sf{ \: \: 8(x + 5)}}\)
\( \text{Step \: 1 \: : \sf{Distribute \: 8 \: through \: the \: parentheses}}\)
\( \hookrightarrow{ \sf{8 \: ∗ \: x \: + \: 8 \: ∗ \: 5}}\)
\( \hookrightarrow{ \sf{8x + 40}}\)
Hope I helped!
Best regards! :D
~\( \sf{TheAnimeGirl}\)
How many nan values are in floating point?
There can be an infinite number of nan values in floating point.
A nan (Not-a-Number) value is a floating-point value that isn't equal to any number, even itself. It occurs when an undefined arithmetic operation is performed, such as 0.0 divided by 0.0 or the square root of a negative number. Furthermore, NaNs propagate throughout all computations, indicating that any mathematical operation that uses a NaN operand will also result in a NaN output. Thus, there can be an infinite number of nan values in floating point.
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Melissa makes necklaces and sells them online. She charges $88 per necklace. Her monthly expenses are $3745. How many necklaces must she sell if she wants to make a profit of at least $1,650?
Answer:
She must sell at least 18 necklaces to have a profit of at least 1,650 . In order to pay for her monthly expenses she needs to sell at least 43 necklaces. If she wants to have 1,650 remaining after paying for her monthly expenses she'll have to sell around 61 necklaces.
How does the area of a rectangle relate to the area of a triangle? Use your own words pls :)
Answer:
The Area of the Triangle is half the Area of the Rectangle.
.6.PS-7
Marco needs to buy some dog food. At the nearest store, 3 bags of dog food cost $11.25. How
much would Marco spend on 2 bags of dog food?
Answer:
$7.50
Step-by-step explanation:
Divide the 11.25 by 3 (since there are 3 bags) you should get 3.75 now multiply the 3.75 by 2 (since marco need 2) and you get 7.50
PLEASE PLEASE HELP whats the origin of the number zero (pls give me interesting info its for a math project)
Please Brainliest
The origin of the number zero is believed to be ancient India, where it was invented as a placeholder in the decimal system around the 5th century CE. The concept of zero as a number in its own right was a revolutionary idea that greatly advanced mathematical understanding and allowed for much more efficient mathematical calculation. From India, the use of zero spread to the Islamic world and eventually to the West. The modern representation of zero as a circle or a digit was introduced in the 13th century in India.
Which branch of statistics would employ probability to predict how many miles one should be able to drive a 2000 toyota celica during its lifetime?
The inferential statistics would employ the probability to predict how many miles one should be able to drive a 2000 Toyota Celica during its lifetime.
What is inferential statistics?The branch of statistics that deals with the sample data to predict or generalize the larger data is inferential statistics.This statistic is based on the probability theory.How the inferential statistics are predicted?The inferential statistics are calculated by using analytical tools such as test-statistic values, degree of freedom, sample size, and the rejection criteria(assumption or hypothesis).
Thus, the given information is about predicting the miles. So, according to the probability theory, it needs a sample of data about 2000 Toyota Celica.
Hence, it falls under the inferential branch of statistics. So, option C is correct.
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Question: Which branch of statistics would employ probability to predict how many miles one should be able to drive a 2000 Toyota Celica during its lifetime?
A. Predictive statistics
B. Descriptive statistics
C. Inferential statistics
D. Differential statistics
PLS HELP ASAP Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B? (Remember that the black cards are spades and clubs.) A) drawing a 6, a club, or a spade B) drawing the 6 of hearts or the 6 of diamonds C) drawing a 6, a heart, or a diamond D) drawing the 6 of clubs or the 6 of spades
Answer:
Correct answer is option D) drawing the 6 of clubs or the 6 of spades
Step-by-step explanation:
Given that:
A standard deck of 52 playing cards with 4 suits.
A be the event of drawing a card with 6 from the deck.
B be the event of drawing a black card from the deck.
So, event A will have 4 possibilities i.e. {6 of club, 6 of spade, 6 of diamond, 6 of heart}
And event B will have 26 possibilities {Any card (including 6) from club or spade}
Intersection of two sets is defined as the common elements in the two sets.
As per the explanation of the sets and elements in the sets given above:
If we take intersection it will be:
{6 of club or 6 of spade}
Hence, Correct answer is option D) drawing the 6 of clubs or the 6 of spades
Answer:
drawing the 6 of clubs or the 6 of spades is the right answer
Step-by-step explanation: