The revenue function for Gymnast Clothing is R(x) = 110x. The profit function is P(x) = 110x - (3000 + 10x + 0.2x^2). To determine the profit maximizing quantity, we need to find the value of x that makes P(x) greater than zero.
Explanation:To find the revenue function for Gymnast Clothing, we need to multiply the number of hockey jerseys sold (x) by the selling price per jersey ($110). Therefore, the revenue function is R(x) = 110x.
To find the profit function, we subtract the cost function C(x) from the revenue function R(x). Therefore, the profit function is P(x) = R(x) - C(x). Substituting the given cost function, we have P(x) = 110x - (3000 + 10x + 0.2x^2).
To determine how many jerseys Gymnast Clothing should manufacture to make a profit, we need to find the value of x that makes P(x) greater than zero. We can solve this mathematically or graphically. In this case, it is more efficient to solve it graphically by plotting the profit function and finding the quantity that corresponds to a positive profit.
How did world war 2 start
The German invasion of Poland on September 1st 1939 caused Britain to declare war on Germany two days later, starting the war.
How much would it cost to mail a package weighing 13 Ibs
The price to mail a package weighing 13 lbs can vary depending on the carrier and the type of service, but it typically ranges from about $20 to $100. Always check current rates on the carrier's website or at a local post office.
Explanation:The cost to mail a package can vary considerably depending on various factors such as the carrier (USPS, UPS, FedEx, etc.), the package's size and shape, the destination, and the speed of delivery. However, assuming you're using USPS, their pricing often depends on the weight of the package. A package weighing 13 lbs currently could cost anywhere from around $20 to $100, based on various factors and the type of service you choose (like priority mail or ground shipping). It's always best to check the current rates on the carrier's website or at a local post office.
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The difference between consecutive prime numbers is always an even number, except for two particular prime numbers. What are those numbers?
What is 0.96 as a fraction in simplest form?
Answer:
I agree as well, the answer is 24/25. =)
Step-by-step explanation:
A painter is buying gallon containers of paint. He has $375 to spend and each gallon container costs $11. How many gallon containers of paint can the painter buy?
34 gallon containers of paint can the painter buy.
Given that, A painter is buying gallon containers of paint. He has $375 to spend and each gallon container costs $11.
We need to find out how many gallon containers of paint can the painter buy.
What is a unitary method?The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit. It is a method that we use for most of the calculations in math.
Now, the number of gallon containers of paint can the painter buy=375/11
=34.09
Therefore, 34 gallon containers of paint can the painter buy.
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If the price of dishwashing detergent increased at the same rate as the CPI from 1970 to 1980, how much did a bottle of dishwashing detergent cost in 1980? By how much did the price of a bottle of dishwashing detergent increase from 1970 to 1980?
HELP PLEASE!!!
Which property is shown? 2*1=2
A.distributive property
B. associative property of multiplication
C.identity property of multiplication
D. commutative property of addition
Final answer:
The correct option (C) identity property of multiplication. The equation 2*1=2 demonstrates the identity property of multiplication, indicating that any number multiplied by 1 yields the same number.
Explanation:
The mathematical property shown by the equation 2*1=2 is the identity property of multiplication. This property states that any number multiplied by 1 yields the number itself. Therefore, the correct answer is C.identity property of multiplication.
The identity property is essential because it confirms that 1 is the multiplicative identity in the set of real numbers.
Unlike the commutative property, which deals with the order of multiplication, or the associative property, which deals with the grouping of numbers, the identity property simply confirms that a number remains unchanged when multiplied by 1.
Byron has 1 7/10 kilograms of black pepper. He uses 7/8 of the black pepper and splits between 7 pepper shakers. How much pepper will be in each shaker?
If the sinA = 3/5 and the cosA = 4/5 , then what is tan A?
a: 3/4
b: 1
c: 4/3
The next number in the sequence -5, -2, 4, 13 is 25. is this conjecture true or false? math
The conjecture is true; by determining the pattern of increasing differences between consecutive numbers (increasing by 3), we can conclude that adding 12 to the last number, 13, gives us the next number in the sequence, which is 25.
The conjecture that the next number in the sequence -5, -2, 4, 13 is 25 can be tested by looking at the pattern of how the numbers are increasing. To do this, let's look at the differences between the numbers:
-2 - (-5) = 34 - (-2) = 613 - 4 = 9We see that the differences between the numbers are increasing by 3 each time (3, 6, 9). Therefore, if we continue this pattern, the next difference should be 9 + 3 = 12. If we add 12 to the last number in the sequence, 13, we get:
13 + 12 = 25
Therefore, the conjecture is true. The next number in the sequence is indeed 25.
You are graphing y < 2x + 1. What type of line do you use and where do you shade?
If 23 people shake each others hands once how many hands are shook in all
Can someone please explain this to me? I've been staring at this for 10 minutes.
answer choices:
always, always
always, never
never, always
never, never
never and never
2 negatives multiplied by each other = a positive number
lets look at the first one:
let a = -2
you then have -2*(1/-2) = -2 * (-.5) = 1 ( positive 1 )
2nd eq, multiply a negative by a negative:
a = -3, b=-4, -3*-4 = 12 ( positive 12)
both equations give positive numbers for answers
Evaluate |a| - |b|, given a = 5, b = -3, and c = -2.
Answer:
The answer is 2.
Step-by-step explanation:
In order to determine the value of the expression, we have to know about absolute value function.
The absolute value function is a function that only change the sign into positive and maintain the values. It is represented by " | x | " where x can be any number.
For example, if [tex]x=-2[/tex]
[tex]|x|=|(-2)|=2[/tex]
In this case, we have the next values:
[tex]a=5\\b=-3\\\\|a|-|b|\\|5|-|(-3)|\\5-3\\2[/tex]
Finally, the value of the expression is 2.
Can u solve this for me
Can you find two unit fractions whose sum is 1/6? how many different pairs of unit fractions can you find whose sum is 1/6?
12(3w+8)=25 what is the w
The total area of a prism can be found by multiplying the perimeter of the base times the height of the prism. True False
Which equation can be rewritten as x + 4 = x2? Assume x > 0
A.[tex] \sqrt{x^2}+2+x[/tex]
B.[tex] \sqrt{x+2} =x[tex] C.\sqrt{x+4}=x [/tex][/tex]
D.[tex] \sqrt{x^2+16}=x [/tex]
The equation can be written as x+4=x^2 is \sqrt{x+4} =x, where x>0.
[tex]\sqrt{x+4} =x[/tex]
If we square both sides of the equation
We can rid of the exponent on the right side and add a square root to
x + 4.
[tex]\sqrt{x+4}=x[/tex]
Squaring on both sides we have,
What is the square root?The square root of a number is that factor of a number that when multiplied by itself gives the original number.
[tex](\sqrt{x+4}})^2=x^2[/tex]
x+4=x^2
Therefore, The equation can be rewritten as x + 4 = x^2.
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The amount of pizza left in the buffet line is given by the function A(t) = 50(0.8)t where t stands for the number of minutes the buffet is open and A(t) stands for the amount of pizza in any given time. How much pizza is there after five minutes?
Translate
the quotient of y and two is equal to eight subtracted from twice y
Determine whether the equation 14+3x-7=7x+7-4x has one solution, no solution, or infinite solutions. Show work to support your answer.
The area of greenland is 840 000 square miles. what is this number in scientific notation
Scientific notations are the way through which a very small or a very large number can be written in shorthand. The area of Greenland in scientific notation is 8.4×10⁵ square miles.
What are Scientific notations?Scientific notations are the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
The given area of Greenland is 840,000 square miles. Therefore, the area of Greenland in scientific notation can be written as,
Area of Greenland = 840,000 square miles
= 8.4 × 10⁵ square miles
Hence, the area of Greenland in scientific notation is 8.4×10⁵ square miles.
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If the length of a is 16 centimeters, the length of b is 10 centimeters, and the measure of is 22°, what is the length of c? Round your answer to two decimal places.
Answer:
7.70
Step-by-step explanation:
The measure of the missing angle is 113.28°.
What is the sine law?We can use the Law of Sines to determine the measure of the missing angle by assuming that it is opposite side c.
According to the Law of Sines, any triangle ABC:
a/sin(A) = b/sin(B) = c/sin(C)
So, Substituting the given values
16/sin(42°) = 10/sin(B) = c/sin(C)
Now, take first two ratios
sin(B) = 10*sin(42°)/16
sin (B) ≈ 0.4182
B ≈ sin⁻¹(0.4182)
B ≈ 24.72°
Using Angle Sum property
A + B + C = 180°
A + 42° + 24.72° = 180°
A ≈ 113.28°
Thus, the measure of the missing angle is 113.28°.
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To to which set of numbers does the number square root of -16 belong
A jet ski company charges a flat fee of $26.00 plus $1.00 per hour to rent a jet ski. Another company charges a fee of $14.75 plus $3.25 per hour to rent the same jet ski.
find the number of hours which the cost are the same. Round your answer to the nearest whole number.
Final answer:
The number of hours when the cost of renting a jet ski from two different companies is the same is 5 hours, when rounded to the nearest whole number.
Explanation:
To find the number of hours where the cost to rent a jet ski from two different companies is the same, we can set up two equations to represent the cost from each company and solve for the number of hours.
For the first company, the cost C is given by C = 26 + 1h, where h represents the number of hours.
For the second company, the cost C is given by C = 14.75 + 3.25h.
To find when the costs are the same, we set the two equations equal to each other:
26 + 1h = 14.75 + 3.25h
Now we solve for h:
Subtract 1h from both sides: 26 = 14.75 + 2.25h
Subtract 14.75 from both sides: 11.25 = 2.25h
Divide both sides by 2.25: h = 11.25 / 2.25
Calculate h: h = 5 hours
Therefore, the number of hours at which the costs are the same, when rounded to the nearest whole number, is 5 hours.
Caroline works in Shelley’s store. She earns $36 for a 4-hour shift. If she works for 7 hours, how much can Caroline expect to earn?
Answer:
Caroline expect to earn is $63 .
Step-by-step explanation:
As given
Caroline works in Shelley’s store.
She earns $36 for a 4-hour shift.
Thus
[tex]Caroline\ earns\ for\ one\ hour\ shift = \frac{Total\ hour\ of\ earning}{Number\ of\ hour}[/tex]
[tex]Caroline\ earns\ for\ one\ hour\ shift = \frac{36}{4}[/tex]
Caroline earns for one hour shift = $ 9
As given
If Caroline works for 7 hours .
Thus
Caroline earns from work = Caroline earns for one hour shift × Number of hour .
= 9 × 7
= $ 63
Therefore the Caroline expect to earn is $63 .
Determine the type of triangle that has side lengths of 18, 24, and 42. scalene triangle isosceles triangle equilateral triangle it's not a triangle.
The triangle with the given side lengths are scalene triangles.
What are triangles?
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
An isosceles triangle has two sides of equal length. A scalene triangle has sides lengths of different sizes. A right angled triangle have side length in which the sum of the square of the two sides is equal to the square of the third side.
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Amelia borrows $13450 for a round-the-world trip. Her repayments are $128 per week for 3 years. How much interest is she charged on the loan?
Rowena has a $150,000 basic homeowners insurance policy with a $1000 deductible on her house since she purchases no additional riders for jewelry flooding exedra her premium payment of $100 per month. if a family heirloom ring worth $100,000 is stolen from her home how much is insurance company obligated to pay for this claim
The insurance company is obligated to pay $99,000 for the claim of the stolen family heirloom ring.
Rowena's basic homeowners' insurance policy has a coverage limit of $150,000 with a $1,000 deductible. The deductible is the amount that Rowena must pay out of pocket before the insurance company pays for a claim.
When the family heirloom ring worth $100,000 is stolen, the insurance company will cover the value of the ring up to the policy limit minus the deductible.
Since the value of the ring is within the policy limit, the calculation for the amount the insurance company is obligated to pay is as follows:
Value of the ring = $100,000
Deductible = $1,000
Amount covered by insurance = Value of the ring - Deductible
Amount covered by insurance = $100,000 - $1,000
Amount covered by insurance = $99,000