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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More than 50 years after it jumped the species barrier and became one of the most devastating viruses to affect mankind, HIV remains a stubborn adversary. Treatment has improved dramatically over the past 20 years and now, a cure could be in sight. Source: The Guardian, November 30, 2018 Make a graph of the production possibilities frontier with HIV/AIDS cases treated on the x-axis and other goods and services on the y-axis before and after the advance in technology. Question content area bottom left Part 1 The opportunity cost of treating HIV/AIDS cases increases as more HIV/AIDS cases are treated. Draw a curve that shows the production possibilities for the world economy that produces HIV/AIDS treatments and other goods and services. Label the curve PPF0. Then draw the PPF that shows the effect of an advance in technology on HIV/AIDS treatments. Label the curve PPF1.
The production possibility frontier based on the information is attached.
What is the PPF about?PPF0 is the curve before technological progress. PPF1 is the the curve after the advance in technology.
Before the advance in technology, the opportunity cost of treating HIV/AIDS increases as the world moves down along its PPF.
After the advance in technology, the opportunity cost of treating more HIV/ AIDS cases decreases as the world has to give up less other goods and services to treat additional HIV/AIDS patients. Or, by giving up the same amount of other goods and services, world can treat more HIV/AIDS patients now.
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For four months, you have saved $25 per month.
You now have $175 in your savings account.
a. Use your result from Exploration 2 to
write an equation that represents the
balance A after t months.
Answer:
A=25t.
Step-by-step explanation:
..........................
An office block has five floors (ground, 1, 2, 3 and 4), all connected by a lift. When it goes up
to any floor (except 4), the probability that after it has stopped it will continue to rise is 3/4.
When it goes down to any floor (except the ground floor), the probability that after it has
stopped it will continue to go down is 1/4. The lift stops at any floor it passes.
The lift is currently at the first floor having just descended. Calculate the probability of
these events.
a Its second stop is the third floor.
b Its third stop is the fourth floor.
c Its fourth stop is the first floor.
Answer:
Step-by-step explanation:
a) The second stop is the third floor:
The first stop is the first floor, so the probability of going up from the first floor is 3/4.
The next stop is the third floor, so the probability of going up from the second floor (which is the first floor in this scenario) to the third floor is 3/4.
The probability of both events happening is the product of the individual probabilities: (3/4) * (3/4) = 9/16.
b) The third stop is the fourth floor:
The first stop is the first floor, so the probability of going up from the first floor is 3/4.
The next stop is the third floor, so the probability of going up from the first floor to the third floor is 3/4.
The next stop is the fourth floor, so the probability of going down from the third floor to the fourth floor is 1/4.
The probability of all three events happening is the product of the individual probabilities: (3/4) * (3/4) * (1/4) = 3/16.
c) The fourth stop is the first floor:
The first stop is the first floor, so the probability of going up from the first floor is 3/4.
The next stop is the third floor, so the probability of going up from the first floor to the third floor is 3/4.
The next stop is the fourth floor, so the probability of going down from the third floor to the fourth floor is 1/4.
The next stop is the first floor, so the probability of going down from the fourth floor to the first floor is 3/4.
The probability of all four events happening is the product of the individual probabilities: (3/4) * (3/4) * (1/4) * (3/4) = 9/64.
What ratios and rates? how can you use ratios and rates to describe quantities and solve problems?
The Ratios, Rate and unit rate are used to solve many real-world problems.
Let us defined ratios, rates and unit rates and see the real world examples below.
As a ratio is a comparison of two numbers or measurements.
For example, if a store sells 5 black color pens and 7 blue color pens, then the ratio of black to blue pens is 5 to 7.
A rate is also a ratio in which the two terms are in different units.
For example, if 2 galloons of milk costs 8 dollar, then the rate is 2galloons for
8 dollar. And the unit is galloons per dollar.
As Rates are used in our daily life, such as when we work 40 hours per week or take 2 liters of water per day. When rates are expressed as a quantity of 1, such as 2 liters of water per day that is, per 1 day or 6 miles per hour that is, per 1 hour. So they can be defined as unit rates.
Hope this helps
Answer:
to describe the same relationship between quantities or to compare two quantities. A rate is a special type of ratio that compares quantities with unlike units. A unit rate compares a quantity of something with a single unit of a different quantity.
Write an equation for the function graphed
Answer:
y = |x - 3| - 1
Step-by-step explanation:
The vertex of the absolute value function graphed is (3, -1). The formula for absolute value is y = a |x - h| + k, where (h, k) is the vertex. The a stretches the graph, although this graph isn't stretched. So a is 1, which is the same as multiplying by 1. Plugging 3 as h and -1 as k into the formula results in y = |x - 3| - 1.
Leyan bought 2 3/4 pounds of apples for $1.32 per pound, 1 1/2 pounds of peaches for $1.20 per pound, and some tomatoes, all from a grocery store. The total cost of his purchase was $9.63.
How much money did Leyan spend on tomatoes?
Kayla and Kevin have the same-size notebooks.
Kayla covered 5/6 of hers with stickers. Kevin covered 5/8 of his with stickers. Who covered more of the notebook? Explain your answer.
Solving provided question, we can say that The least common multiple (LCM) of 6 and 8 is 24. So, we can rewrite Kayla's fraction as 20/24 and Kevin's fraction as 15/24.
What is least common multiple?The least common multiple, or the least common multiple of the two integers a and b, is the smallest positive integer that is divisible by both a and b. LCM stands for Least Common Multiple. Both of the least common multiples of two integers are the least frequent multiple of the first. A multiple of a number is produced by adding an integer to it. As an illustration, the number 10 is a multiple of 5, as it can be divided by 5, 2, and 5, making it a multiple of 5. The lowest common multiple of these integers is 10, which is the smallest positive integer that can be divided by both 5 and 2.
To compare the proportion of each notebook covered with stickers, we need to find a common denominator for the fractions.
The least common multiple (LCM) of 6 and 8 is 24. So, we can rewrite Kayla's fraction as 20/24 and Kevin's fraction as 15/24.
So, Kayla covered more of her notebook with stickers, as 20/24 is greater than 15/24.
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i just really need a help guys thank u mwa
Answer:
See below
Step-by-step explanation:
My man, how did you even get these numbers??? no whole number multiplied by 6.65 even equals 22??? Regardless, here's what I did.
a) r = 40/2 = 20
A = πr^2 = (3.14)(20)^2 = 1256
b) 1256/50 = 25.12 basically, 26
c) 26 x 6.65 = 172.9
Thoughts and prayers my guy. Keep trying
Answer:
A. 1256[tex]ft^{2}[/tex] B. 26 pounds C. $172.90
Step-by-step explanation:
PART A
1st find the radius of the area
radius = diameter / 2
r = 40/2
radius = 20ft
Area of circle = radius^2* pi
Area = 400 * 3.14
Area = 1256 [tex]ft.^{2}[/tex]
PART B
1256 / 50 = 25.12
Because we can only buy full pounds and we need the whole area to be reseeded, we round 25.12 to 26.
26 pounds of seeds will be needed to reseed the whole area.
PART C
Multiply the number of pounds of seeds needed to be bought by 6.65
26 x 6.65
$172.90 for the total cost of grass seeds
Find 4 rational numbers between
OR
-1
6
and
5
Four rational numbers between 1/5 and 1/6 are; 41/240, 42/240, 43/240, 44/240
How to Identify Rational Numbers?A rational number is defined as a number that can be expressed as the quotient of fraction p/q of two integers, a numerator p, and a non-zero denominator q.
First, we have to make the denominators the same.
We multiply 1/5 by 48 and 1/6 by 40 to get:
48/240 and 40/240
Thus, the other rational numbers between them are;
41/240, 42/240, 43/240, 44/240
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Complete question is;
Find four rational numbers between 1/5 and 1/6
Factorise: 16x4 - y4
Answer:(4x^2 + y^2)(2x + y)(2x - y)
Step-by-step explanation:
16x^4 - y^4
= (4x2)^2 - (y^2)^2
= (4x^2 +y^2)(4x^2 - y^2)
=(4x^2 + y^2)( (2x)^2 -y^2)
= (4x^2 + y^2)(2x + y)(2x - y).
Marissa wants to blend candy selling for $1.50 per pound with candy costing $2.40 per pound to get a mixture that costs her $2.10 per pound to make. She wants to make 18 pounds of the candy blend. How many pounds of each type of candy should she use?
Pounds of $1.50 per pound candy =
Pounds of $2.40 per pound candy
Answer: 6 pounds and 12 pounds.
Step-by-step explanation:
1.5(x)+2.4(18-x)=2.1(18)
1.5x+43.2-2.4x=37.8
1.5x+43.2=37.8+2.4x
0.9x=5.4
x=6 pounds of $1.50 candy
18-6=12 pounds of $2.40 candy
(check my work to see if it's correct :))
Consider the expressions {4x^3+2x^2+6x+7}/{2x+1} and 2x^2+3+(4/{2x+1}.)
a) Show that these expressions are equal when x=10.
b) Explain why these expressions are not equal when x=-1/2.
c) Show that these expressions are equal for all x other than-1/2.
In parts (a) and (c), begin by explaining what your strategy for solving will be.
The given expressions {4x^3+2x^2+6x+7}/{2x+1} and 2x^2+3+(4/{2x+1}) are equal at x = 10, they are not equal at x = -1/2, and they are equal for all x other than -1/2.
Substitute x = 10 in the given expressions, we get
{4x^3+2x^2+6x+7}/{2x+1}
= (4000+200+60+7)/21
=203.19
2x^2+3+(4/{2x+1}.)
200+3+4/21
=203.19
Hence, the given expressions are equal when x = 10
Now substitute x = -1/2 in the given expressions
={4x^3+2x^2+6x+7}/{2x+1}
=(4*-1/8+2*1/4+6*-1/2+7)/0
2x^2+3+(4/{2x+1}.)
=2*1/4+3+4/0
When we substitute the value x= -1/2 then it divide by 0 and value will be infinite and hence we can say that the values are not equal at x = -1/2
2x^2+3+(4/{2x+1}.) take LCM
{4x^3+2x^2+6x+7}/{2x+1} here both expression are equal and we can't able find the value at x = -1/2 but for other value of x they are equal.
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The Belmont race track known as "BIg Sandy" is 1.5 miles long. In 1973, Secretariat won the Belomont Stakes race in 2 minutes and 30 seconds. Assuming he ran on "Big Sandy", what was his unit speed in miles per hour
Answer:
Below
Step-by-step explanation:
If he ran ONCE around the track he ran 1.5 miles in 2 .5 minutes
We will need to use a conversion factor of 60 min / 1 hr :
1.5 mi / 2.5 min * 60 min / hr = 1.5 *60 / 2.5 m/hr = 36 m/hr
100 points!!!!
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event 4: The sum is greater than 6.
Event B: The sum is not divisible by 3 and not divisible by 6.
Round your answers to two decimal places.
There are 36 possible outcomes from rolling a die twice (or two dice once) and these result in sums from 2 to 12.
Possible ways to make a sum of 2: 1
Possible ways to make a sum of 3: 2
Possible ways to make a sum of 4: 3
Possible ways to make a sum of 5: 4
Possible ways to make a sum of 6: 5
Possible ways to make a sum of 7: 6
Possible ways to make a sum of 8: 5
Possible ways to make a sum of 9: 4
Possible ways to make a sum of 10: 3
Possible ways to make a sum of 11: 2
Possible ways to make a sum of 12: 1
This means there are 21 ways to make a sum greater than 6.
21/36 ≈ 58.33%
There are 24 ways to make sums that are not divisible by 3 and not divisible by 6. (Note that if a number isn't divisible by 3, it's also not divisible by 6, so that's a weird thing to include.)
24/36 ≈ 66.67%
Anota una magnitud vectorial y explica tu respuesta
A physical quantity with both magnitude and direction is called a vector quantity.
A vector quantity is a physical quantity that has both magnitude and direction. One example of a vector quantity is velocity, which is defined as the rate of change of an object's position with respect to time. Velocity is a vector quantity because it has both a magnitude (speed) and a direction (the object's motion). For instance, if an object is moving with a speed of 20 meters per second to the north, its velocity would be 20 meters per second north. If the object's direction changes to east, its velocity would become 20 meters per second east. Therefore, velocity is a vector quantity because its value depends not only on the speed of the object but also on the direction in which it is moving.
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Complete Question
Write down a vector quantity and explain your response.
for which values of k are the expressions 12d + 8 and 4(3d + 5) - 8 equivalent
A: No values
B. When d = 0
C: when d = 1
D.All values
Answer: A) No values of k are the expressions 12d + 8 and 4(3d + 5) - 8 equivalent.
What does "equivalent value" mean?They are the same if one amount or value has the same value as another.
We need to set the formulae 12d + 8 and 4(3d + 5) - 8 equal to one another and solve for k to get the values of k for which they are equivalent:
12d + 8 = 4(3d + 5) - 8
When we simplify this equation, we obtain:
12d + 8 = 12d + 12
When we take away 12d from both sides, we obtain:
8 = 12
There are no variables of k for which the expressions are similar because this equation is false for all values of d.
As a result, the response is A) No values.
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(1) Find the temperature at 8:00 pm and midnight in your town. Then find the find the Difference between the two Temperatures.
(2) Clear Parenthesis and combine like terms, 12-3(x+2y-5).
1. The difference between the temperature is 14°C.
2. The value of the expression will be -3x - 6y + 27.
How to calculate the valueThe difference between the temperature will be:
= -10 + 24
= 14°C.
For the second part of your question, to clear the parenthesis in the expression "12 - 3(x + 2y - 5)", you can first simplify the expression inside the parenthesis:
x + 2y - 5
Next, multiply this expression by 3:
3(x + 2y - 5) = 3x + 6y - 15
Finally, substitute this back into the original expression:
12 - 3(x + 2y - 5) = 12 - (3x + 6y - 15) = 12 - 3x - 6y + 15 = -3x - 6y + 27
So, the final expression after clearing the parenthesis and combining like terms is -3x - 6y + 27.
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PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The algebraic equation for the statement is 21 = 2 x - 5
How to write the algebraic equations ?Algebraic equations can be written using mathematical symbols and operations to represent relationships between variables or quantities. Variables are the quantities that the equation is trying to represent or solve for.
There is only one variable here and we can call it x.
The number is doubled so the representation would be :
= 2 x
This is then decreased by 5 and becomes :
= 2 x - 5
This is equated to 21 to become:
21 = 2 x - 5
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Complete the sentence below.
2570 is ten times smaller than?
Answer:
2570 is ten times smaller than 25700
Step-by-step explanation:
On average the number of drum sets sold in Ohio each year is equivalent to eight times the average number sold yearly in Vermont. If, on average, there are 79,992
drum sets sold each year in Ohio, how many are sold in Vermont?
What is the circumference of this circle?
Use π = 3.14
6 cm
Omg. Someone please help me with this please
Answer:
122.3°
Step-by-step explanation:
Vertical angles are congruent. That means that they have the same measurement.
A 10-ft board is cut into 2 pieces so that one piece is 6 ft longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces
The length of the both pieces are 1ft and 9ft respectively. Option C
How to determine the lengthsWe have from the information given that;
The shorter side = xThe longer side = 6 + 3xThe total length = 10ftNow, substitute the values, we get
x + 6 + 3x =10
Collect the like terms
x + 3x = 10 -6
Add the like terms
4x = 10 - 6
Substract the like terms
4x = 4
Make 'x' the subject of formula by dividing both sides by 4, we get;
x = 4/4
divide the values
x = 1
Thus, the values are 1ft and 9ft
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There is a mother-daughter tea that will be attended by 20 mother-daughter pairs, including the hosts. The rules of conduct are very strict; the host mother-daughter will greet everyone, all the guest mothers will greet everyone, and all the guest daughters will greet all the mothers only. How many greetings will there be?
In total, the number of greetings will be 1159.
Why do you use the term "numbers"?Mathematical symbols used to represent quantities or values include numbers. They are employed in the measurement, comparison, addition, subtraction, multiplication, and division processes in mathematics. According to their qualities and properties, numbers can be categorized into a variety of groups, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, and complex numbers. There are specific properties and guidelines for mathematical operations for each group of numbers. Mathematics depends on numbers, which are also utilized in many other disciplines, including science, engineering, economics, and statistics.
The number of greetings exchanged between the host and the other mothers and daughters must be counted first. Since there is only one host, the number of mother-daughter pairs is 20 - 1 = 19. There are thus a total of 38 greetings, 19 between the host and the other moms, and 19 between the host and the other daughters.
The number of pleasantries exchanged between the guest mums and everyone else must next be tallied. The host, the other mothers, and the daughters must all be greeted, making a total of 20 - 1 = 19 guest mothers. Thus, each host mother must extend 1 + 19 + 20 = 40 greetings. There will be 760 greetings exchanged between the guest mothers and everyone, or 19 x 40.
The number of pleasantries exchanged between the mothers and the invited girls must also be tallied. Moreover, there are 20 guest girls, so 19 of them must welcome the mothers. As a result, there will be 361 pleasantries exchanged between the mothers and the guest daughters.
In total, the number of greetings will be 38 + 760 + 361 = 1159.
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Write the equation is slope intercept form given
f(0) = -3 and f(1) = 2
The equation is slope-intercept form is equal to y = 5x - 3.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (0, 1).Points on y-axis = (-3, 2).At point (0, -3), a linear equation of this line can be calculated in slope-intercept form as follows:
y - (-3) = (2 + 3)/(1 - 0)(x - 0)
y + 3 = 5x
y = 5x - 3.
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The diagonals of parallelogram ABCD intersect at P. Which statements must be true? Select all that apply.
The statement that must be true for the parallelogram is
D. < CAD is congruent to < ACBWhat is alternate internal angles?Alternate internal angles are pairs of angles that lie on opposite sides of a transversal line intersecting two parallel lines. The angles are on the interior (between the two parallel lines) and are not adjacent to each other.
These angles are equal in measure (i.e., they are congruent), which means that if one angle has a certain degree of measure, the other angle will have the same degree of measure.
In the problem, the diagonal of the parallelogram is the transversal line and it is used to make the alternate internal angle theorem possible
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If the parent function is f(x) = x³, which transformed function is show in the graph?
The function g(x) = (x - 3)³ is shown in the graph. The solution has been obtained by using the concept of transformation.
What is transformation?
Any action that moves a polygon or other two-dimensional object on a plane or coordinate system is referred to as a transformation.
Translation, rotation, reflection, and dilation are all methods of transformation.
We are given a graph, from which we can say that when x = 3, then y = 0
The function must satisfy these values.
The functions g(x) = (x + 3)³ , g(x) = x³ + 3 and g(x) = x³ − 3 does not satisfy the point (3,0).
Also, the translation is 3 units to the right.
So the function shown in the graph is g(x) = (x - 3)³.
Hence, the transformed function is g(x) = (x - 3)³.
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Question: If the parent function is f(x) = x³, which transformed function is show in the graph?
g(x) = (x − 3)³ , g(x) = (x + 3)³ , g(x) = x³ + 3 , g(x) = x³ − 3
The table shows the value of a camper [tex]t[/tex] years after it is purchased. It is an exponential decay function.
a. What is the value of the camper after 5 years? Round to the nearest dollar.
The value of the camper after 5 years is given as follows:
$15,155.2.
How to define the exponential function?An exponential function is defined as follows:
y = a(b)^x.
In which:
a is the value of y when x = 0.b is the rate of change.From the table, the rate of change is given as follows:
b = 29600/37000
b = 0.8.
Then the value of the camper after five years can be obtained applying the recursion, multiplying the value after 4 years by the rate of change of 0.8, as follows:
18944 x 0.8 = $15,155.2.
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Jll company in 2012 had sales of 800,000 in 2022 sales were up 75% . Calculate the sales for 2021.
Answer:
860,000.
Step-by-step explanation:
If the sales in 2022 were up 75% from 800,000, the sales in 2022 would be 800,000 + (800,000 * 75%) = 800,000 + 600,000 = 1,400,000.
To find the sales for 2021, we'll have to use the average annual growth rate to find the sales in between 2012 and 2022.
Let's assume that the sales grew linearly, so the average annual growth rate would be (1,400,000 - 800,000) / (2022 - 2012) = 600,000 / 10 = 60,000.
The sales in 2021 would then be 800,000 + 60,000 = 860,000.
The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. Which equation can be
used to find the length of the remaining side?
The equation that can be used to find the length of the remaining side is z² = 14² - 9²
How to determine the length of sideUsing the Pythagorean theorem that states that the square of the hypotenuse side is equal or equivalent to the sum of square of the other two sides.
This is represented as;
x² = y² + z²
Given that the parameters are enumerated as;
x is the hypotenuse sidey is the opposite sidez is the adjacent sideNow, substitute the values
14² = 9² + z²
collect like terms
z² = 14² - 9²
Hence, the equation is z² = 14² - 9²
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The length of the remaining side can be calculated using 14² = x² + 9² is 10.7 units
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given as:
hypotenuse² = adjacent² + opposite²
Let x represent the missing side.
The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. Hence:
14² = x² + 9²
x² = 14² - 9²
x² = 115
x = 10.7 units
The length of the remaining side is 10.7 units
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