The yellow arches of a big M is not an example of a quadratic equation in real life.
What is quadratic equation ?
Quadratic equation can be defined as equation in which it is in the form of ax^2+bx+c = 0
where c is constant.
A quadratic equation is an equation in which the highest power of the variable is 2. In real life, many phenomena can be modeled by quadratic equations, such as the curve of hanging electrical wires, the path of a boat, the path of a tennis ball, and the path of a human cannonball.
However, the yellow arches of a big M is not a mathematical equation or a physical phenomenon that can be described by a quadratic equation. The arches are simply a design element of the McDonald's logo.
Therefore, The yellow arches of a big M is not an example of a quadratic equation in real life.
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does the equation y^2-y^2x = 6 describe y as a function of x
The equation y² - y²x = 6 can be describe as a function of x as:
y = √(6/(x - x)).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y² - y²x = 6
Taking y² as common.
y²(1 - x) = 6
Divide both sides with (1 - x).
y² = 6/(1 - x)
Square root on both sides.
y = √(6/(x - x))
This is a function of x.
Thus,
y = √(6/(x - x)) is a function of x.
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A. 188.5in²
B. 94.25in²
C. 133.5in²
D. 149.25in²
Answer:B
Step-by-step explanation:
area of triangle is (10*11)/2=55
area of semicircle is
[tex]d=2r\\r=10/2=5\\s=\pi r^{2} /2=25\pi /2=39.25\\39.25+55=94.25[/tex]
You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 99% confidence level
and a margin of error of 3%. A pilot survey reveals that 8 of the 48 sampled hold two or more jobs. (Use t Distribution Table & z
Distribution Table.)
How many in the workforce should be interviewed to meet your requirements? (Round z-score to 2 decimal places. Round up your
answer to the next whole number.)
Number of persons to be interviewed
Number of persons to be interviewed = 599.
What is number?Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.
To calculate the required sample size for the survey, the formula for a confidence interval for a proportion can be used:
n = (Z-score)²×p×(1-p)/margin of error²
Where:
Z-score = 1.96 (this is the z-score for the 99% confidence level from the z-distribution table)
p = 0.167 (this is the proportion of the sample that hold two or more jobs, 8/48)
margin of error = 0.03 (this is the margin of error you have specified)
Therefore, the required sample size is:
n = (1.96)²×0.167×(1-0.167)/(0.03)²
n = 598.8
To meet your requirements, you should interview 599 persons (rounding up the answer to the next whole number).
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which point is a solution for the system of inequalities shown in the graph below?
Answer: The answer to your problem is choice b
Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where
P(-3, 3, 2), Q(-1, 6, 5), R(-4, 2, 1), S(3, 1, 4).
The volume of the parallelopiped is 4
How to solve for the volumeWe have to solve this with the use of matrix system in math
PQ, PR, PS where
P(-3, 3, 2), Q(-1, 6, 5), R(-4, 2, 1), S(3, 1, 4)
we have to find
Q - P
(-1, 6, 5) - (-3, 3, 2)
= (2, 3, 3)
R - P
R(-4, 2, 1) - (-3, 3, 2)
= ( -1 , -1, -1)
S - P
S(3, 1, 4) - (-3, 3, 2)
= (6 , -2, 2)
we would have [tex]\left[\begin{array}{ccc}2&3&3\\-1&-1&-1\\6&-2&2\end{array}\right][/tex]
the determinant of the matrix is the volume
2[(-1 * 2) - 3[(-1x2)-(6x-1)] + 3[(-1x-2) -(6 x -1)]
= -8 - 12 + 24
= 4
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A sign for truck drivers states that the road ahead has a constant slope of 2 in 11. This means that for every 11m horizontally its rises 2m.
a. Over what horizontal distance will the road rise 300m?
b. What is the length of the road [AB]?
in a certain test, there is a multiple choice question with the possible answers a, b, c, d, and e. By randomly guessing, the chances of getting the correct answer are stated as "1 in 5."Express the indicated degree of likelihood a a probability value between 0 and 1 inclusive
How do you solve the problem: 5/8 * a/b = - 1/4?
Answer:a=-2
b=5
Step-by-step explanation:
[tex]\frac{a}{b} =\frac{\frac{-1}{4} }{\frac{5}{8} } \\\frac{a}{b} =\frac{-1}{4}*\frac{8}{5}\\\frac{a}{b}=-2/5[/tex]
Which inequality's solution is graphed here?
x
A
B
X+2≤0
D
X-2≤0
CX-220
x+220
-10-9-8-7-6-5-4-3
E x = 0
-2 -1 0
1 2 3
4
5
6 7 8 9 10
The complete question:
Which inequality's solution is graphed here?
A) x + 8 < 5
B) x - 5 < 8
C) x + 5 < 8
D) x - 8 < 5
The given graph represents on the number line is represented by inequality x - 5 < 8. So option B is correct.
What is a number line?Real numbers are represented by a straight line known as a number line. The distance between the dots on the line, which correlates to the magnitude of the numbers, is how the numbers are typically represented. Positive or negative numerals can be used, and they are normally marked at regular intervals.
Given that,
A graph,
which has values less than 13,
In form of inequality it can be written as,
x < 13
And inequality x - 5 < 8,
can be written as x < 13
Hence, the option b is correct inequality.
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A student's course grades and their corresponding weights are given in the table.
What is the minimum grade needed on the final exam to earn an overall grade of 83% in the class
Answer: 75%
Step-by-step explanation: To calculate,
(0.1 x 100) + (0.3 x 80) + (0.2 x 95) + (0.4 x 75) = 83%
That are a valid decomposition of c (x )such that c equals f ring operator g g (x )equals x squared f (x )equals cube root of x plus 1 end root g (x )equals x squared plus 1 f (x )equals cube root of x g (x )equals x plus 1 f (x )equals cube root of x squared end root g (x )equals cube root of x plus 1 f (x )equals x squared
By using the composition of functions, we can find valid decompositions of c(x) using f(x) = [tex](x+1)^{1/3}.[/tex] and g(x) = x²
A function is a rule that takes an input value and produces an output value.
One way to do this is to use the composition of functions. The composition of two functions f(x) and g(x) is denoted as f(g(x)). This means that we first apply g(x) to the input, and then apply f(x) to the output of g(x). In other words, we first evaluate g(x), and then plug that result into f(x) to get the final output.
Using this concept, let's look at the first set of functions. We are given
=> c(x) = f ◦ g (x) = (x²) f(x) = [tex](x+1)^{1/3}.[/tex]
This means that c(x) is the composition of two functions, f(x) and g(x). We can see that g(x) = x², and f(x) = [tex](x+1)^{1/3}.[/tex] This is a valid decomposition of c(x).
Similarly, in the second set of functions, we have
=> c(x) = f ◦ g (x) = [tex](x+1)^{1/3}[/tex] g(x) = x² + 1.
This means that c(x) is the composition of two functions, f(x) and g(x). We can see that g(x) = x² + 1, and [tex](x+1)^{1/3}.[/tex] This is also a valid decomposition of c(x).
In the third set of functions, we have
=> c(x) = f ◦ g (x) = [tex](x+1)^{1/3}[/tex] g(x) = x + 1, and f(x) = [tex](x^2)^{1/3}=x^{2/3}[/tex]
This is another valid decomposition of c(x).
Finally, in the fourth set of functions, we have
=> c(x) = f ◦ g (x) = x² g(x) = [tex](x+1)^{1/3}[/tex], and f(x) = [tex]x^{2/3}[/tex].
This is yet another valid decomposition of c(x).
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Every day Guido eats one Jolly Rancher. He can select from any of 5 choices each day. How many ways can Guido select candy for one week?
Guido can choose his Jolly Rancher in 78,125 different ways over the course of a week.
Guido chooses one sweet per day from a selection of five options; there are a total of five possible selections for a single day. Since there are seven days in a week, the sum of the ways Guido can choose candy over the course of a week equals the sum of the methods for each day.
Using the multiplication principle of counting
Total number of ways = 5 x 5 x 5 x 5 x 5 x 5 x 5
Simplifying this expression gives:
Total number of ways = 5^7
Using a calculator or by hand, we can compute:
Total number of ways = 78,125
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Rick was given 2 new gaming consoles for his birthday, one from each set of grandparents. He wants to return one of the consoles and use the store credit to buy new video games. He will receive $299 in store credit, and each video game costs $60. You can use a function to describe the amount of store credit he will have left after purchasing x video games. Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x. f(x)=
don't spam ;-;
The linear function for the amount of store credit he will have left after purchasing x video games is given as follows:
f(x) = 299 - 60x.
How to obtain alinear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The parameters for this problem are given as follows:
b = 299, which is the initial credit that he has.m = -60, as for each videogame purchased, the amount of credit decays by $60.Hence the function is given as follows:
f(x) = 299 - 60x.
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The graph below is the function f(x)
The value of lim x -> -1- f(x)= -1
What is the Limit of a function?The behavior of a function at a specific input is described by its limit, a crucial concept in calculus and analysis.
Hence,
As x approaches -1 from the left, the graph of f(x) leads you to the point (-1, 3), so the limit from the left is 3.
As x approaches -1 from the right, the graph leads to the point (-1, -3), so the limit from the right is -3.
The one-sided limits do not match, so the two-sided limit does not exist.
But f(x) is still defined at x = -1; this is indicated by the point (-1, -1). So f (-1) = -1.
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The graph below is the function f(x)
Find lim x -> -1- f(x)=
A dolphin is at the surface of the ocean.What is the dolphin’s elevation?
Answer:
0
Step-by-step explanation:
surface of ocean = sea level = elevation of zero
What is the doubling time for the investment? Round answer to 1 decimal place.
The amount of money in an investment is modeled by the function A(T)=650(1.0455)^T. The variable A represents the investment balance in dollars, and T the number of years.
The doubling time for the investment as required to be determined is; 15.58 years.
What is the value of the investments doubling time?It follows from the task content that the model function is;
A(T)=650 (1.0455) ^T
For doubling time;
2 = (1.0455)^T
ln (2) = T ln (1.0455)
T = ln 2 / ln (1.0455)
T = 15.58 years.
Ultimately, the doubling time of the investment as required is; 15.58 years.
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Anyone know the answers for Domain and rqnge digital escape puzzle 3?
The domain and the range of a function/graph/relation are defined as follows:
Domain: set of input values.Range: set of output values.What are the domain and range of a function?The domain of a function is the set that contains all possible input values of the function/relation, hence it is composed by the values of x.The range of a function is the set that contains all possible output values of the function/relation, hence it is composed by the values of y.Missing InformationThe problem is incomplete, hence the concepts of domain and range are presented, and then they are used to obtain the domain and the range.
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One cubic foot holds 7.48 gallons of water, and 1 gallon of water weighs 8.33 pounds. How much does 2.2 cubic feet of water weigh in pounds?
In tons?
To find the weight of 2.2 cubic feet of water in pounds, we can use the following formula:
Weight in pounds = Volume in cubic feet x Density of water in pounds per cubic foot
The density of water is 62.4 pounds per cubic foot, so we can substitute the values into the formula:
Weight in pounds = 2.2 x 62.4 = 138.08
So, 2.2 cubic feet of water weighs 138.08 pounds.
To convert this weight to tons, we can divide by 2000, as there are 2000 pounds in a ton:
Weight in tons = 138.08 / 2000 = 0.06904 tons
So, 2.2 cubic feet of water weighs 0.06904 tons.
Answer:
0.0680 tonsStep-by-step explanation:
First, we need to find how many gallons of water 2.2 cubic feet hold:
2.2 cubic feet * 7.48 gallons per cubic foot = 16.456 gallons
Next, we'll find the weight of the water in pounds:
16.456 gallons * 8.33 pounds per gallon = 136.08 pounds
Finally, we'll convert the weight to tons:
136.08 pounds / 2000 pounds per ton = 0.0680 tons
So 2.2 cubic feet of water weigh 136.08 pounds and 0.0680 tons.
Hope it helps! : )The value of a motorcycle changes according to the equation V=5,000(1.03)t^, where V= value in dollars and t= time in years.
Use the dropdowns to complete the statements.
In the equation, the number 5,000 represents the ________ of the motorcycle. The value of the motorcycle is __________ at a rate of ________ per year.
In the equation, the number 5,000 represents the initial value of the motorcycle. The value of the motorcycle is increasing at a rate of 3% per year.
What are Exponential Functions?Exponential functions are functions where the independent variable, x is in the exponent.
The given exponential equation is,
V = 5,000 (1.03)^t
Here V represents the value of the motorcycle in t years.
When t = 0,
V = 5000 (1.03)⁰ = 5000
So 5000 represents the initial value of the motorcycle.
V = 5,000 (1 + 0.03)^t
At t = 0, V = 5000
At t = 1, V = 5000 (1.03)¹ = 5150
At t = 2, V = 5000 (1.03)² = 5304.5
So the value of the motorcycle is increasing.
The rate is 0.03 or 3%.
Hence, 5,000 represents the initial value of the motorcycle and the value of the motorcycle is increasing at a rate of 3% per year.
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PLEASE HELP WILL GIVE BRAINIEST!!
At what point does the graph of a function of this form start?
The start point the graph of a function of this form is (h, k)
How to determine the start of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = a√(x - h) + k
The domain is given as
x ≥ h
This means that the initial x value is h
From the question, we have the following parameters that can be used in our computation:
f(h) = a√(h - h) + k
Evaluate
f(h) = k
Hence, teh initial point is (h, k)
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A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $9 the average attendance has been 28000. When the price dropped to $7, the average attendance rose to 33000. Find a demand function D(q), where q is the quantity/number of the spectators. (Assume D(g) is linear) D(q) =
The demand function of the question is expressed as;
D(q) = -²/₅₀₀₀q + 14.6
How to find the Demand Function?The formula to find the slope between two coordinates is;
m = (y2 - y1)/(x2 - x1)
The coordinates we are given are;
(28000, 9) and (33000, 7)
Thus;
Slope; m = (7 - 9)/(33000 - 28000)
m = -2/5000
Now, the equation of a line in point slope form is;
y - y1 = m(x - x1)
Where (x1, y1) is (28000, 9)
y - 9 = (-2/5000)(x - 28000)
y - 9 = -²/₅₀₀₀x + 5.6
y = -²/₅₀₀₀x + 14.6
This can be rewritten as a demand function; D(q) = -²/₅₀₀₀q + 14.6
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1 1/2 + 3 2/3 + 2/3 equals what?
Answer: 35/6 or 5 and 5/6
Step-by-step explanation:
Answer:
35/6
Step-by-step explanation:
Rafael and Lucy, married taxpayers, each contribute $2,850 to their respective § 401(k) plans offered through their employers. The AGI reported on the couple's joint return is $40,500. Determine their credit for retirement plan contributions (the Saver’s Credit).
Answer:
Rafael and Lucy's credit for retirement plan contributions is $570.
Step-by-step explanation:
The Saver's Credit is a tax credit for low and moderate-income taxpayers who make contributions to a retirement plan. The credit is worth between 10% and 50% of the taxpayer's contributions, up to a maximum credit of $1,000 ($2,000 for married taxpayers filing jointly).
To determine the credit amount, we need to calculate the taxpayers' adjusted gross income (AGI) and their credit rate.
For the tax year in question, the AGI is $40,500 and the contribution limit is $2,850 per person. The total contribution amount is $2,850 x 2 = $5,700.
The credit rate is determined by the taxpayer's AGI and filing status, as follows:
For AGI up to $19,750 for married taxpayers filing jointly, the credit rate is 50%.
For AGI between $19,750 and $32,000 for married taxpayers filing jointly, the credit rate is 20%.
For AGI between $32,000 and $40,000 for married taxpayers filing jointly, the credit rate is 10%.
For AGI above $40,000 for married taxpayers filing jointly, the credit is not available.
Since the taxpayers' AGI is $40,500, the credit rate is 10%. The credit amount is calculated as follows:
Credit amount = Credit rate x Contribution amount
Credit amount = 10% x $5,700 = $570
So, Rafael and Lucy's credit for retirement plan contributions is $570.
Help please! Which of the following tables represents a relation that is a function? Explained answer please
A
B
C
D
Answer:
Step-by-step explanation:
THE ANSWER TO YOUR QUESTION IS C.
A student moves into a bigger apartment that rents for $750 per month. That rent is $200 less than twice what she had been paying. Find her former
rent in dollars.
Answer:
$475
Step-by-step explanation:
x = former rent
2x - 200 = 750
2x = 750 + 200 = 950
x = 950/2 = 475
(SAT Prep) Find the value of x.
Answer: 36˚
Step-by-step explanation:
180 - 3x = 2x
180 = 5x
.: x = 36˚
The area of a certain desert (Desert 1) is six times the area of another desert (Desert 2). If the sum of
their areas is 21,000,000 square miles, find the area of each desert.
Area of desert 1 is 18,000,000 square miles and area of desert 2 is 3,000,000 square miles.
What is meant by Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Let A₁ and A₂ be the area of Desert 1 and Desert 2 respectively.
Given,
Area of a Desert 1 is six times the area of Desert 2.
A₁ = 6 A₂
The sum of their areas is 21,000,000 square miles.
A₁ + A₂ = 21,000,000
Substituting A₁ = 6 A₂ in A₁ + A₂ = 21,000,000 ,
6 A₂ + A₂ = 21,000,000
7 A₂ = 21,000,000
A₂ = 21,000,000 / 7
A₂ = 3,000,000 square miles
A₁ = 6 A₂
= 6 × 3,000,000
= 18,000,000 square miles
Hence the areas of each desert is 18,000,000 square miles and 3,000,000 square miles.
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ABCD is a rhombus, and m∠AEB = 7x + 6. Solve for x.
Rhombus ABCD with diagonals AC and BD and point E as the point of intersection of the diagonals.
5.56
12
24.85
Not enough information
The solution for x is not possible because the information is not enough, the correct option is D.
What is a rhombus?Its a parallelogram but all sides of same length.
Rhombus is a parallelogram whose all sides are of equal lengths.
Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).
Its vertex angles are bisected by its diagonals.
The triangles on either side of the diagonals are isosceles and congruent.
We are given that;
m∠AEB of rhombus ABCD is 7x+6
Now,
To find the value of x we need atleast one more information
Since the measure of diagonals are not given and the length of sides are also not provided.
So, that the calculation could not be made.
Therefore, the information of rhombus is insufficient.
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Alba Isabel bought a Bluray disc player on sale for $219.99. What is the sales tax if Alba lives in Kingston, New York, where the state tax is 4% and the county tax is 4%?
The sales tax on the Bluray disc player is $17.60.
What is percentage ?
Percentage can be defined as product of ratio of given value, total value and hundred.
To calculate the sales tax on the Bluray disc player, we need to add the state tax and county tax to the sale price of the player.
First, we can calculate the amount of the state tax. The state tax rate is 4%, which can be expressed as a decimal by dividing by 100:
State tax rate = 4% = 0.04
To find the amount of state tax, we can multiply the sale price by the state tax rate:
State tax = 0.04 x $219.99 = $8.80
Next, we can calculate the amount of the county tax. The county tax rate is also 4%, so we can use the same method as above to find the county tax:
County tax rate = 4% = 0.04
County tax = 0.04 x $219.99 = $8.80
Now, we can find the total sales tax by adding the state tax and county tax:
Total sales tax = State tax + County tax
= $8.80 + $8.80
= $17.60
Therefore, the sales tax on the Bluray disc player is $17.60.
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Dodi has 2 cups of liquid starch and will use the entire amount. She plans to store the slime in containers that each hold a maximum of 6 fluid ounces how many containers will she need (hint 2 cups = 16 fluid ounces
The number of containers needed is given as follows:
3 containers.
How to obtain the number of containers needed?The number of containers needed is obtained applying the proportions in the context of this problem.
She has 2 cups, hence the number of fluid ounces that she has is given as follows:
16 fluid ounces.
Each container holds a total of 6 fluid ounces, hence the number of containers needed is given as follows:
16/6 = 3 containers.
(rounding up).
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