Step-by-step explanation:
the original revenue is
4×300 = $1200
revenue(n) = (4 + n×0.1)×(300 - n×5) = 1200 - 20n + 30n - 0.5×n² =
-0.5×n² + 10n + 1200
with n being the number of units of $0.10 increasing the price.
now, where is the extreme (maximum, we hope) value of the function ?
it is the 0 point of the first derivative :
revenue'(n) = -n + 10 = 0
n = 10
so, the maximum is when increasing the price by 10 times of $0.10 (that means by increasing it by a full $1).
that means the best is selling the slices for 4+1 = $5.
and the max. revenue is then
(4+1)(300-50) = 5×250 = $1250.
What is the IQR (Inter Quartile Range
0, 21, 45, 3, 1, 5, 25
Answer:
Interquartile range = 24
Step-by-step explanation:
First we need to put the sequence in order from lowest to highest.
0, 1, 3, 5, 21, 25, 45
5 is the median and then from 5 to 0 we need to find the lowest interquartile in between it which is 1.
Highest interquartile from 5 to 45 finding the middle will be 25.
Interquartile range = highest interquartile - lowest quartile
25-1 = 24
can someone help please?
Answer:
x = 54
Step-by-step explanation:
In this line, I am going to assume lines l and m are parallel.
Each flat surface is half of a circle, therefore it has 180 degrees. We are given one side and told to find the other.
180 - 116 = 64.
The other angle's total value must be 64.
Now, to solve for x, subtract 10 from 64 [inverse operations].
64-10=54
The value of x in this equation is 54 degrees.
The area of the triangle below is 3/40
square meters. What is the length of the base? Express your answer as a fraction in simplest form.
Answer:
b = 3/4
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
3/ 40 = 1/2 b ( 1/5)
Multiply
3/40 = 1/10 b
Multiply each side by 10
10 *3/40 = 10* 1/10 b
3/4 = b
a publisher reports that 26% of their readers own a laptop. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 100 found that 17% of the readers owned a laptop. determine the p-value of the test statistic. round your answer to four decimal places.
Rounded to four decimal places, the p-value is 0.0844.
To determine the p-value for this hypothesis test, we need to follow these steps:
Step 1: State the null and alternative hypotheses.
Null hypothesis: The percentage of readers who own a laptop is 26%.
Alternative hypothesis: The percentage of readers who own a laptop is different from 26%.
Step 2: Determine the test statistic.
We can use a z-test for proportions since we have a large enough sample size and we know the population proportion. The formula for the test statistic is:
z = (p - p) / √(p(1-p) / n)
where p is the sample proportion, p is the hypothesized population proportion, and n is the sample size.
Using the given values, we have:
z = (0.17 - 0.26) / √(0.26(1-0.26) / 100)
z = -1.72
Step 3: Determine the p-value.
Since this is a two-tailed test, we need to find the area in both tails of the standard normal distribution that corresponds to a z-score of -1.72. Using a table or a calculator, we find that the area in the left tail is 0.0422 and the area in the right tail is also 0.0422.
Therefore, the p-value is the sum of the areas in both tails:
p-value = 0.0422 + 0.0422
p-value = 0.0844
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A person has a body fat percent of 15.2% and weighs 185 pounds. How many poundsof his weight is made up of fat? Round your answer to the nearest tenth of a percent
We can find the 15.2% of 185 pounds by dividing the weight by 15.2% in its decimal form:
\(185(15.2\%)=185(0.152)=27.7\text{pounds}\)therefore, there are 27.7 pounds of fat
Classify each pair of angles as alternate interior, alternate exterior, or corresponding.
∠4 and ∠5
The pair of angles ∠4 and ∠5 should be classified as corresponding angles.
What are corresponding angles?In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines.
This ultimately implies that, the corresponding angles will be always equal (congruent) when a transversal intersects two (2) parallel lines.
By applying corresponding angles theorem to parallel lines h and k, we have the following:
∠1 ≅ ∠8
∠3 ≅ ∠6
∠4 ≅ ∠5
∠7 ≅ ∠2
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please help me yall
What is the value of the expression below when y = 9 and z = 3?
10y – 7z
theorem: there is no smallest positive rational number. a proof by contradiction of the theorem starts by assuming which fact?
that there is no smallest positive rational number is proven below.
What is Rational Number?
Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.
So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that numerator or denominator doesn't have commonly divisible.
Let r be any reasonable number.
We can infer that r/2 is rational because r is a rational number.
There is no smallest rational number so we can assume that r/2 r because r/2 is rational.
Hence, proved that here is no smallest positive rational number.
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The price of a pack of kitchen rolls is reduced by 1/6
The new price is £1.20
Work out the original price.
Answer: 1.44
Step-by-step explanation:
(original price) - (1/6 of the original price) = 1.20
If you let x = original price, then the equation is:
x - 1/6 x = 1.20
5/6 x = 1.20
x = 1.44
the original price is £1.44.
Credits to the person who also answered :)
I hope this helps!
Answer:
£1.44
Step-by-step explanation:
Since the original price was reduced by 1/6, that means the new price is 5/6 of the original price.
Let x = original price.
Write an equation and solve it.
5/6 x = £1.20
x = £1.20 × 6/5
x = £1.44
What is the probability of NOT drawing a face card from a standard deck of 52 cards.
8 over 13
3 over 13
10 over 13
1 half
The probability of NOT drawing a face card from a standard deck of 52 cards is 10 over 13.
First determine the total number of face cards and non-face cards in a standard deck of 52 cards. In a standard deck, there are 12 face cards (3 face cards per suit: Jack, Queen, and King, and 4 suits: Hearts, Diamonds, Clubs, and Spades). This means there are 52 - 12 = 40 non-face cards.
Now, we'll calculate the probability of NOT drawing a face card:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability of NOT drawing a face card = (Number of non-face cards) / (Total number of cards)
Probability = 40 / 52
Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (4):
Probability = (40/4) / (52/4)
Probability = 10 / 13
So, the probability of NOT drawing a face card from a standard deck of 52 cards is 10/13. Your answer: 10 over 13.
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Mónica ha comprado un CD el dependiente le dice que ha descontado el 20% de su valor siendo ese descuento de $20 cuánto costaba inicialmente el CD
Answer:
El CD costaba $100 inicialmente.
Step-by-step explanation:
Dado que la información indica que el porcentaje de descuento es 20% y ese descuento tiene un valor de $20, puedes usar una regla de tres para encontrar el valor que representa el 100% que sería el valor inicial del CD dado que el 20% del valor es igual a $20:
20% → 20
100% → x
x=(100*20)/20=100
De acuerdo a esto, la respuesta es que el CD costaba $100 inicialmente.
Complete the following operations by filling in the exponent for the result: (y
2
)(y
−4
)=y
b
−2
b
−6
=b
y
6
1
=y
The expression (y^2)(y^-4) simplifies to y^-8.
To calculate the expression (y^2)(y^-4), we apply the rule of multiplying exponents. When we multiply two powers with the same base, we add their exponents. In this case, y^2 multiplied by y^-4 can be simplified as y^(2 + (-4)), which simplifies further to y^-2.
Next, we calculate b^-6 using the rule of negative exponents. When a base is raised to a negative exponent, it is equivalent to taking the reciprocal of the base raised to the positive exponent. Hence, b^-6 is equal to 1/(b^6).
Combining the results, we have (y^-2) multiplied by (1/(b^6)), which can be further simplified using the rule of multiplying exponents. Thus, (y^-2)(1/(b^6)) becomes y^(-2 - 6), resulting in y^-8.
Therefore, the expression (y^2)(y^-4) simplifies to y^-8.
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Which inequality is true? Use the number line to help.
A number line going from negative 5 to positive 3 in increments of 1.
1.5 greater-than 2 and one-half
One-half greater-than 0.5
Negative 2.5 greater-than negative 1.5
Negative 3 and one-half greater-than negative 4.5
HELP ME
Answer:
c
Step-by-step explanation:
i did the assignment on E2020
Answer:
c
Step-by-step explanation:
I need help understanding how to solve this problem .
the function below gives a rockets height, h(t) in feet in terms of the time, t in seconds since it has been launched h(t)=-16t + 128t +80 how many seconds does it take the rocket to be 272 feet in the air
It takes the rocket 2 seconds to be 272 feet in the air
Seconds it takes the rocket to be 272 feet in the airFrom the question, we have the following height function that can be used in our computation:
h(t) = -16t^2 + 128t +80
At 272 feet, we have
h(t) = 272
Substitute the known values in the above equation, so, we have the following representation
-16t^2 + 128t +80 = 272
Evaluate the like terms
So, we have
-16t^2 + 128t - 192 = 0
Solving using a graph, we have the smaller value of t to be
t = 2
Hence, the time to be 272 feet in air is 2 seconds
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.Find the distance between each pair of parallel lines with the given equations. y = x + 2 y = x - 4
Answer:
3√2
Step-by-step explanation:
You want the distance between the parallel lines ...
y = x +2y = x -4DistanceOn a graph, the lines are separated by 6 units vertically or horizontally. The slope of each is 1, so the slope of a perpendicular line will be -1.
One way to think of the distance between the lines is as the altitude of the right triangle with legs equal to the horizontal and vertical distances between the lines. That altitude is 6/√2 = 3√2.
The distance between the lines is 3√2 ≈ 4.24264.
__
Additional comment
The distance from point (x, y) to line ax+by+c=0 is ...
d = |ax+by+c|/√(a²+b²)
If a point satisfies the equation x -y +2 = 0, then its distance from parallel line x -y -4 = 0 will be ...
|-2 -4|/√(1² +(-1)²) = 6/√2 = 3√2
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f(x) = x4 – 522 – 10x3 + 6 + 10x
Help please multiple choice interval. 20 Points. Thanks very much!
Answer:
D
Step-by-step explanation:
--- Ensures items requested match item numbers on DA Form 3151-R
--- Loads and secures the ammunition
--- Placards the vehicle
Which of the following tasks does the unit personnel perform when receiving ammunition?
When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.
The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.
The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.
The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.
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Evaluate the expression 11-8 on top and on bottom is 1+7•2
Answer:
1/5
Step-by-step explanation:
because 3/15
Hey there!
(11 - 8)/(1 + 7 * 2)
= (3)/(1 + 14)
= 3/15
≈ 3 ÷ 3 / 15 ÷ 3
≈ 1/5
≈ 0.2
Therefore, your answer should be:
1/5 or 3/15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
please help help help help please help will give brainliest if correct
Answer:
15 divided by 3 = 5
Step-by-step explanation:
21 divided by 3 = 7
6 divided by 3 = 2
Have a Good Day : )
Answer:
5
Step-by-step explanation:
y=x/3
substituting x=15 in the above equation
y=15/3
y=5
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Schwiesow corporation has provided the following information: cost per unit cost per period direct materials $ 7.40 direct labor $ 3.80 variable manufacturing overhead $ 1.80 fixed manufacturing overhead $ 16,000 sales commissions $ 1.00 variable administrative expense $ 0.50 fixed selling and administrative expense $ 5,600 if 7,500 units are produced, the total amount of manufacturing overhead cost is closest to:
The total amount of manufacturing overhead cost is closest to $ 29,500.
In business, overhead or overhead rate refers to an ongoing fee for working in a commercial enterprise. Overheads are the expenditure that can not be quite simply traced to or recognized with any unique revenue unit, not like running fees which include uncooked cloth and exertions.
Overhead fees, frequently referred to as overhead or working prices, confer with those expenses associated with running a commercial enterprise that cannot be connected to creating or producing a product or service. they're the prices the business incurs to live in the enterprise, irrespective of its success degree.
Examples of overhead encompass hire, administrative expenses, or worker salaries. Overhead fees may be observed on a business enterprise's income assertion, wherein they are subtracted from its profits to reach at the internet profits discern.
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Find the missing values in the ratio table. Then select the equivalent ratios.
Answer:
Dogs = 2Cats = 80
Step-by-step explanation:
d = dogs
c = cats
10 : 4 = 5 : d
d = 4 * 5 : 10
d = 2
5 : 2 = c : 32
c = 5 * 32 : 2
c = 80
Express each given number in fraction forms.
1)12
2)5.17
3)0.08
4)0.08375
5)2.50
1) 12/1
2) 517/100
3) 2/25
4) 67/800
5) 5/2
HELLLPP!!!!
Which series of transformations will move the triangle in quadrant 1 onto the similar triangle in quadrant three?
Answer:
Its D if you think about it
Step-by-step explanation:in your mind move the triangle on the top right down 6 units and then turn your triangle 90 degrees counter clockwise (quick maths)
The only transformation that will move the triangle in quadrant 1 onto the similar triangle in quadrant three is;
Option D; translation 6 units down and rotation 90° counterclockwise
The y-coordinate of the right angle vertex of the triangle in quadrant 1 is y = -2. Meanwhile the y-coordinate of the same right angle point of the triangle in quadrant 3 is y = -4.
Thus, for the triangle in quadrant 1 to be on the same level with that in quadrant 3, we need to translate the triangle in quadrant 1 downwards by 6 units.
Now, since we want to map this newly translated triangle to the one in quadrant 3 and as such we need to rotate it 90° counterclockwise
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
After solving the given expression the values for x will be equal to x = 1 and x = 13.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given information in the question,
The given equation is,
(x - 7)² = 36
x - 7 = √36
x = ±6
Then the values for x will be,
x1 = 6 + 7 = 17
x2 = -6 + 7 = -1
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triangle QRS has vertices Q(-2,2), R(-3,-4) , and
S(1,-2).Write the coordinate notation for each translation given.
Then write the coordinates of Q'R'S' after each translation.
The coordinate notation for each translation given is (x, y) = (x + 7, y - 4), while the coordinates of Q'R'S' after each translation is Q' = (5, -2), R = (4, 0) and S = (8, -6)
How to determine the transformation?The coordinates of the triangle are given as:
Q = (-2, 2)
R = (-3, 4)
S = (1, -2)
The translation is given as:
7 units right and 4 units down
This is represented as:
(x, y) = (x + 7, y - 4)
So, we have:
Q' = (5, -2)
R = (4, 0)
S = (8, -6)
Hence, the coordinate notation for each translation given is (x, y) = (x + 7, y - 4), while the coordinates of Q'R'S' after each translation is Q' = (5, -2), R = (4, 0) and S = (8, -6)
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Complete question
Triangle QRS has vertices Q(-2,2), R(-3,-4) , and S(1,-2).
Write the coordinate notation for each translation given.
Then write the coordinates of Q'R'S' after each translation.
7 units right and 4 units down
Betty has 42 butterfly stickers, as shown below.
She puts an equal number of stickers on each of 6 pages in her sticker book.
How many stickers does Betty put on each page in her sticker book?
Answer:
7
Step-by-step explanation:
42/6=7
how do you find the nth term of 3, 12, 27, and 48
You Can Divide By Three
3/3 = 1
12/3 = 4
27/3 = 9
48/3 = 16
Answer:
3n²
Step-by-step explanation:
3 = 3 * 1 = 3* 1²
12 = 3 * 4 = 3 * 2²
27 = 3 * 9= 3 * 3²
48 = 3 * 16 = 3* 4²
Therefore, n th term = 3*n² = 3n²