Sherry needs to sell T-shirts as a fundraiser for a charity. She starts with 40 T-shirts and begins selling at a constant rate of 5 T-shirts each day. Is the below graph an accurate representation of the number of T-shirts Sherry has left to sell from the time she begins selling until the T-Shirts are gone. Question 1 options:TrueFalse
Answers
If Sherry starts with 40 T-shirts and sells 5 T-shirts each day, we can determine how many days it will take for her to sell all the T-shirts.
The number of T-shirts Sherry has left to sell each day can be calculated by subtracting the number of T-shirts she has sold from the initial quantity of T-shirts.
Assuming she sells 5 T-shirts each day, the number of T-shirts she has left to sell will decrease by 5 each day. Therefore, the graph should show a linear decrease with a slope of -5.
If the graph accurately represents this linear decrease, then it would be an accurate representation of the number of T-shirts Sherry has left to sell from the time she begins selling until the T-shirts are gone.
Without seeing the actual graph, I cannot confirm its accuracy, but based on the information provided, the concept of a linear decrease in the number of T-shirts remaining is valid.
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Related Questions
Find the sale price of each item. Round to two decimal places when necessary.
Original price: $325; Markdown: 15%
Answers
Answer:
Sale Price: 276.25
Step-by-step explanation:
The original price of the item is $325 and the markdown is 15% off.
So, all you have to do is find out what 15% of $325, which it's 48.75, and subtract that from $325 to get your final sale price, which is $276.25.
Select the correct answer.
If no denominator equals zero, which expression is equivalent to
Answers
Answer:
D
Step-by-step explanation:
\(\frac{15}{x-6}\) + \(\frac{7}{x+6}\)
before we can add the fractions we require them to have a common denominator.
the common denominator is (x - 6)(x + 6)
= \(\frac{15(x+6)}{(x-6)(x+6)}\) + \(\frac{7(x-6)}{(x-6)(x+6)}\)
= \(\frac{15x+90+7x-42}{(x-6)(x+6)}\) ← expand denominator using FOIL
= \(\frac{22x+48}{x^2-36}\)
10 normas que te serviran para tener una vida conmenos sendetarismo
Answers
Step-by-step explanation: DORA IS A USELESS AND BLIND THEY NEED TO TAKE AWAY THAT CROP TOP MELON HEAD FATTIE MEXICAN CHILD XD ( A MEME NOT A INSULT LOOK IT UP )
i can be here to help so ask for help
Answers
Answer:
ok thanks for being here
Step-by-step explanation:
Harvey owes $32,850 in student loans. He has $1,380 in his bank account and a car worth $6,850.-
still owes $2,080 on the car. He also has $4,300 worth of investment funds and $1,040 of credit car
debt. What is his net worth?
A-532,040
B -$23,440
C $33,660
D$42,260
Answers
Answer:
b
Step-by-step explanation:
he will be negatives because he has very little money
As you have seen, relativistic calculations usually involve the quantity When is appreciably greater than we must use relativistic formulas instead of Newtonian ones. For what speed (in terms of is the value of greater than (b) 10
greater than 1 ; (c) 100
greater than 1
Answers
The value of γ is greater than 1 for any v > 0, greater than 10 for v > 0.995c, and greater than 100 for v > 0.99995c.
To determine for what speed (in terms of c) the value of γ is greater than 1, 10, and 100, we'll use the formula for the Lorentz factor (γ):
γ = 1 / √(1 - v²/c²)
where v is the speed and
c is the speed of light.
(a) For γ > 1:
Since γ is always greater than 1 for any speed v greater than 0, we can say that γ is appreciably greater than 1 for any v > 0.
(b) For γ > 10:
We need to solve the equation 10 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 100 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/100 = 99/100.
So, v/c = √(99/100), which implies v > 0.995c for γ > 10.
(c) For γ > 100:
Similar to (b), solve the equation 100 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 10000 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/10000 = 9999/10000.
So, v/c = √(9999/10000), which implies v > 0.99995c for γ > 100.
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f(x)=x^2+8x+15/2x^2+11x+5
state the equations for the vertical and horizontal asymptotes of the graph y=f(x)
Answers
Answer:
Step-by-step explanation:
Let f(x) = sin x and g(x) = x² + 1. Find the following derivatives. d (a) (f(g(x))) (b) = (g(f(x))) dx dx d sin (x²+1) • sin(x²)+1 dx dx = cos(x²+1)(2x)
Answers
To find the derivatives of the given expressions, we can apply the chain rule, which states that the derivative of a composition of functions is equal to the derivative of the outer function multiplied by the derivative of the inner function.
(a) To find the derivative of f(g(x)), we start by differentiating the outer function f with respect to the inner function g(x), and then multiply it by the derivative of the inner function g(x) with respect to x.
df/dx = df/dg * dg/dx
df/dx = cos(g(x)) * (2x)
(b) To find the derivative of g(f(x)), we differentiate the outer function g with respect to the inner function f(x), and then multiply it by the derivative of the inner function f(x) with respect to x.
dg/dx = dg/df * df/dx
dg/dx = 2f(x) * cos(x)
Hence, the derivatives are:
(a) d/dx(f(g(x))) = cos(g(x)) * (2x)
(b) d/dx(g(f(x))) = 2f(x) * cos(x)
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I need help immediately!!!
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The limit as x approaches one is infinity.
\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)
What is the limit of a function?The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.
From the given question, as x approaches 1,
substituting x into 1 - x,
the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.
Thus, the limit of the function as x approaches 1 is infinity.
Therefore,
The limit (as x approaches 1)
\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)
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Suppose T= {-8,-4,0,4,8,12,16,20} and K= {-3,-2,-1,0,1,2,3,4,5,6}. What is T U K?
Answers
Answer:
U MEANS UNION
{-8,-4,0,4,8,12,16,20} U {-3,-2,-1,0,1,2,3,4,5,6} BECOMES
{0, 1, 2, 3, 4, 5, 6, 8, 12, 16, 20, -1, -8, -4, -3, -2}
happy learning!
List Price Trade Discount Rate Net Price Factor Single Equivalent Discount Trade Discount Net Price $7,800. 00 15/4/4
Answers
If the discount net price is $7,800 and Net Price Factor, trade discount are to be calculated, then trade discount is equal to $1,170 and Net Price Factor is equal to 0.9216.
The formula used for Trade Discount is given as product of List Price and Trade Discount Rate. The value of list price is given as $7,800.00 and that of Trade Discount Rate is 0.15. Putting the given values in the formula, we get the following result:
Trade Discount = $7,800.00 x 0.15 = $1,170.00
Cash Discount 2 = 4% of (Net Price - Cash Discount 1)
∵ Net Price Factor = (100% - 4%) x (100% - 4%) / 100%
⇒ Net Price Factor = 0.9216
Single Equivalent Discount = (1 - Net Price Factor) x 100%
∴ Single Equivalent Discount = (1 - .9216) x 100%
Single Equivalent Discount = 7.84%.
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Refer to complete question below:
Complete the following table by finding the net price factor, single equivalent discount, trade discount (in dollars), and net price in dollars). Round the net price factor and single equivalent discount to five decimal places, and the trade discount and net price to the nearest cent, when necessary. List Price Trade Discount Rate Net Price Factor Single Equivalent Discount Trade Discount Net Price $7,800.00 15/4/4
There is a loss of Rs 5 when a watch is sold at the discount of 10%. IF the watch is sold at the discount of 5%, there is profit of Rs 22.50. Find the marked price of the watch.
Answers
so 5% *x= 22.5+5=27.5
x=27.5 *20
x=550
What is 20% of 2000?
Answers
Answer:
Step-by-step explanation:
of is *
20% is 1/5
1/5 *2000= 2000/5= 400
Find the derivative, if it exists, of the function at the specified point.() = ^2 − 4 + 3 at = 1
Answers
Find the derivate of the expression using the general procedure to find the derivative of a polynomial function. To do it, multiply the term times the exponent of the variable and raise the variable to the original exponent minus 1:
\(\begin{gathered} f(x)=x^2-4x+3 \\ f^{\prime}(x)=2x^{2-1}-4x^{1-1}-0\cdot3 \\ f^{\prime}(x)=2x-4 \end{gathered}\)Now that we have the expression for the derivative of the function, evaluate it at the value of x that is in the question statement, which is 1:
\(f^{\prime}(1)=2(1)-4=2-4=-2\)The derivative of the function is -2 at x=1.
Find the amount necessary to fund the given withdrawals. 12 Semiannual withdrawals of $950 for 4 years; interest tate is 6.6% compounded semiannually
Answers
In this case, the periodic payment (PMT) is $950, the interest rate (r) is 0.066 (6.6% divided by 100), and the total number of periods (n) is 48.
To find the amount necessary to fund the given withdrawals, we can use the formula for the future value of an ordinary annuity. First, we need to convert the interest rate to a decimal form by dividing it by 100:
6.6% / 100 = 0.066.
Since there are 12 semiannual withdrawals over 4 years, the total number of periods is 12 * 4 = 48.
The formula to find the future value of an ordinary annuity is:
\(FV = PMT * [(1 + r)^n - 1] / r\)
where FV is the future value, PMT is the periodic payment, r is the interest rate per period, and n is the total number of periods.
Plugging in the values into the formula:
\(FV = 950 * [(1 + 0.066)^48 - 1] / 0.066\)
Calculating this expression will give us the amount necessary to fund the given withdrawals.
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four people (john, paul, george, and ringo) are seated in a row on a bench. the number of ways to order the four people so that john is next to paul is 12. how many ways are there to order the four people on the bench so that john is not next to paul?
Answers
The Number of ways that four people can be seated on the bench so that john is not next to paul is 12
Permutations :
In mathematics, An arrangement of things or items in a specific sequence is known as a permutation. One should think about both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important.
The arrangement of n items in r ways is given by
ⁿPr = n! /(n-r)!Here we have
4 people (John, Paul, George, and Ringo) are seated in a row on a bench
Here total No of ways that 4 can be seated = 4 × 3 × 2 × 1 = 24
The number of ways of seating the four people so that john is next to paul is 12
Then the number of ways the four people on the bench so that john is not next to paul can find as given below
= Total No of ways, 4 can be seated - No of ways that john next to paul
= 24 - 12 = 12
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Ethanol fuel mixtures have "E" numbers that indicate the percentage of ethanol in the mixture by volume. For example, E10 is a mixture of 10% ethanol and 90% gasoline. How much E7 should be mixed with 4000 gal of E10 to make an E9 mixture?
Answers
We have to blend two mixtures of ethanol (E7 and E10) to make an E9 mixture.
We know that the amount of E10 mixture is 4000 gal.
Let x be the amount of E7 mixture.
As we have x gallons of E7 and 4000 gallons of E10, the volume of the E9 mixture will be (x+4000).
The volume of ethanol in the E7 mixture will be 0.07*x gallons.
The volume of ethanol in the E10 mixture is 0.1*4000 = 400 gallons.
The volume of ethanol in the E9 mixture will be 0.09*(x+4000) gallons.
As the sum of the ethanol volume in the E7 and E10 mixtures has to be equal to the ethanol in the E9 mixture, we can write:
\(0.07\cdot x+0.1\cdot4000=0.09\cdot(x+4000)\)We can use this equation to solve for x:
\(\begin{gathered} 0.07\cdot x+0.1\cdot4000=0.09\cdot(x+4000) \\ 0.07x+400=0.09x+0.09\cdot4000 \\ 0.07x+400=0.09x+360 \\ 0.07x-0.09x=360-400 \\ -0.02x=-40 \\ x=\frac{40}{0.02} \\ x=2000 \end{gathered}\)Then, the volume of the E7 mixture has to be 2000 gallons.
Answer: 2000 gallons of E7 mixture.
there were a total of 447000 households in nassau county in 200. if one of theses households was selected at random
Answers
The probability that a household selected at random does not have an individual under the age of 18 in Nassau County in 2000 is 0.999614.
The round-off to the nearest thousands would be 1.000.
To calculate the probability that the selected household did not have an individual under the age of 18, we must determine the number of households without individuals under 18 and divide it by the total number of households in Nassau County in 2000.
We already know that,
The total households = 447,000
The number of households with individuals under 18 = 173
Now,
Number of households without individuals under 18 =
Total households - Households with individuals under 18
Number of households without individuals under 18 = 447,000-173
= 446,827
Probability = Number of households without individuals under 18/Total number of households
Probability = 446,827/447,000
= 0.999614
∴ The probability that the selected household does not have an individual under the age of 18 is 0.999614.
The round-off to the nearest thousand would be 1.000.
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This whole question: There were a total of 447000 households in Nassau County in 200. If one of these households was selected at random, what is the probability that the selected household did not have an individual under age 18? (Express your answer as a decimal rounded to the nearest thousandth)
the serving size for the granola that ted likes to eat for breakfast is 3/4 cup. how many servings are there in a box that holds 13 cups? (what operation should be used here? solve the problem.)
Answers
With one third of a serving remaining, there are 17 servings are there in a box that holds 13 cups.
Given that:
Each cup holds a bit more than 1 serving, so we know there are at least 13 servings in a box.
We need to know how many servings of 3/4 cup can be obtained from 13 cups.
now we need to divide 13 by 3/4
=13 ÷ 3/4
= 13 × 4/3
= 52/3
= 17\(\frac{1}{3}\)
With one third of a serving remaining, there are 17 servings total.
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What do you mean by logarithm???
sam..
Answers
Answer:
a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
Step-by-step explanation:
hope it helps you<3Hey ojaswii!
Answer:
Logarithm is an exponent or index.
Step-by-step explanation:
John napier invented Logarithm.There're 3 types of logs, however, there're 7 laws of logs.Amazing right?It is used for graphs also.Finally,The Formula...\( \boxed{\rm \: log_{l}(l {}^{a} ) = a}\)
Note: This is just a random formula
I expect this helps :)
\(\quad{\qquad\qquad\qquad\qquad{\bf ...}}\)
The radius, R, of a sphere, is 6.3cm. Calculate the sphere's volume, V.
Use the value 3.14 for, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answers
Answer:
V = 1046.9
Step-by-step explanation:
The equation for volume is (4/3)pi r^3
substitute 3.14 in for pi and 6.3 in for r so (4/3)*3.14*6.3^3
a vertical vector of 3 units combined with a horizontal vector of 4 units has a resultant of
Answers
The resultant of the vertical vector of 3 units combined with the horizontal vector of 4 units has a magnitude of 5 units.
To find the resultant of a vertical vector of 3 units combined with a horizontal vector of 4 units, we can use the Pythagorean theorem.
The magnitude of the resultant vector can be calculated as the square root of the sum of the squares of the individual vector components.
Using the given values, the vertical vector has a magnitude of 3 units and the horizontal vector has a magnitude of 4 units.
Using the Pythagorean theorem, we can find the magnitude of the resultant vector:
Resultant magnitude = √(3^2 + 4^2)
= √(9 + 16)
= √25
= 5
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which set of angles has the same terminal arm as 70 degrees?
Answers
Answer: B = B ∈ {70° + n*360° I n ∈ Z } where Z is the set of the integer numbers.
Step-by-step explanation:
If we have an angle A, the other angles that have the same terminal arm than A can be written as:
B = A + n*360°
Here B is a "coterminal" angle to A. (they have the same terminal side)
where n can be any integer number (if n = 0 we have A = B, which is trivial, this means that any angle can be coterminal with itself.)
So we can write the set as:
B = B ∈ {70° + n*360° I n ∈ Z }
The set of angles that has the same terminal arm as 70 degrees is B = B ∈ {70° + n*360°, n ∈ Z}.
We have to determine, which set of angles has the same terminal arm as 70 degrees.
According to the question,
Let, The angle A and other angle B that have the same terminal arm as A can be written as,
B = A + n × 360°
Where the value of angle A is 70 degrees.
B is the coterminal angle, and they have the same terminal,
And n is the number of integers.
Substitute the value of A in the equation,
B = 70 + n × 360°
Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.
Since the value of n is equal to 0 then A = B,
Therefore, The angles coterminal with itself is called trivial.
Hence, The set of angles that has the same terminal arm as 70 degrees is B = B ∈ {70° + n*360°, n ∈ Z}.
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Ms. murphy has to select 4 swimmers out of 9 swimmers to create a relay team. in how many ways can she create a relay team?
Answers
Ms. murphy has to create a relay team in 3024 ways.
What is combination?
A combination is a collection of components produced under a certain set of constraints and conditions.
Selections are another name for combinations. The choice of items from a predetermined group of items corresponds to combinations. We don't want to organize anything here. We are going to choose them. We use the symbols n C r to represent the number of distinct r-selections or combinations among a set of n items.
As given, Ms murphy has to select 4 swimmers out of 9 swimmers to create a relay team.
By using the combination formula we can find the number of ways to create a relay team.
\(C^{n}_r = \frac{n!}{(n-r)!}\)
Where,
n is the number of all objects and r is a number of selected objects.
Here, n = 9 and r = 4.
So,
\(C^{9}_4 = \frac{9!}{(9-4)!} = \frac{9!}{5!} = \frac{x}{y} = 3024\)
Therefore, she create a relay team in 3024 ways.
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help please!! like asap
Answers
Suppose the population of a certain city increases at a rate proportional to the number of Inhabitants at any time. If the population doubles in 30 years, in how many years will it triple
Answers
Answer:
It will triple in approximately 48 years.
Step-by-step explanation:
t=30*ln3/ln2=30*1.5849= 48 years (approx.)
Which ratio is expressed as a unit rate?
A $1.00/$1.00lb
B 1page /3min
C 16in./16sec
D 67miles/60min
Answers
Answer:
Option A.
Step-by-step explanation:
The question asked for a unit rate. This means that there should be no denominator higher than 1. Option A is the only one which have a denominator of 1.
A movie theater was interested in seeing if there was a relationship between popcorn sales and soda sales. They recorded the sales of both items, in US dollars, over a 3 month period and compiled the data. They would like to perform a simple linear regression on this data set. Can this be done? Why or why not? Yes, the data is numerical so this condition is met No, because all of the data is from the same theater No, because 3 months is not a large enough sample size
Answers
A simple linear regression on the data set can be performed as -
Option A : Yes, the data is numerical so this condition is met.
What is linear regression?
In order to demonstrate the relationship between two variables, linear regression applies a linear equation to the observed data. The idea is that one variable acts as an independent variable and the other as a dependent variable. For instance, a person's weight and height are linearly connected.
The movie theatre wants to record relationship between popcorn and soda sales.
The sales will be in numerical values.
The amount of time they want to collect the data is 3 months = 90 days.
This data is also numerical.
Since, two thing are recorded popcorn sales and soda sales there will be two variables in the linear regression.
Therefore, the linear regression can be performed on the data set.
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If the rent of flat is Rs. 3,60,000 for one year, find the monthly rent of the flat.
Answers
The division is one of the four fundamental arithmetic operations. The rent of the flat for each month will be Rs. 30,000.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that the rent of the flat for one year is Rs. 3,60,000. Since a year has 12 months. Therefore, the rent for each month will be,
\(\rm \text{Rent for one month} = \dfrac{Rs.\ 3,60,000}{12} = Rs.\ 30,000\)
Hence, the rent of the flat for each month will be Rs. 30,000.
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let f(x) = 3x-2x^2 for 0
Answers
The solution is of the function 3f(x) +2g(x) is:
=> -5x-2
Now, According to the question:
Algebra of functions:
Algebra of functions means the operations of the functions, specifically the arithmetic operations. Algebra of functions mainly deals with the following four arithmetic operations of functions:
Addition of functionsSubtraction of functionsMultiplication of functionsDivision of functionsThe function given as:
f(x) = -3x, g(x) = 2x-1 are the two functions
then by the algebra of two functions(adding two functions) we can find the value of 3f(x) + 2g(x)
Now find
3f(x) = 3(-3x) = -9x -----------(i)
2g(x) = 2(2x-1)
= 2(2x)-2(1)
2g(x) = 4x-2 ----------(ii)
Now, add the above two equation (i) and (ii)
3f(x) + 2g(x) = -9x + 4x - 2
= -5x-2
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The given question is incomplete, complete question is:
Let f(x) = -3x and g(x) = 2x-1
Find the following: 3f(x) +2g(x)
0 6x +4
0 -5x - 2
O There is no correct answer given.
O 8x -8
O 5x+1