The set of ordered pairs that does not represent a function is the first one.
{(3,1), (2,1), (1,2), (3,2)}
Which set of ordered pairs is not a function?Remember that a function is a relation where each input is mapped into only one output.
So any set where you can see an input (the first value of the ordered pair) appears twice and is mapped into different outputs, then the set does not represent a function.
The first set of ordered pairs:
{(3,1), (2,1), (1,2), (3,2)}
Notice that the input x = 3 is mapped into two different outputs y = 1, and y = 2.
Then it is not a function.
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4. Mary bought 12 pounds of blueberries to make 5 pies. She divided the blueberries evenly. How many pounds of blueberries were in each pie?
Answer:
2.4
Step-by-step explanation:
12 divided by 5
In order to get it
Answer:
2.4 lbs
also 2lbs 6oz (rounded to the nearest ounce)
Step-by-step explanation:
We are comparing pounds of blueberries to pies.
pounds/pies
= 12pounds/5pies
= 12/5
= 2.4 pounds per pie
Mary used 2.4lbs of blueberries in each pie.
If you need to know the ounces, the .4 part of the 2.4 answer is the ounces. (2 is pounds, .4 is parts of a pound)
There are 16 ounces in a pound.
.4 × 16
= 6.4
2.4 pounds is 2pounds6ounces (rounded to the nearest ounce)
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which statements are always true regarding the diagram? Select three options.
m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
The statements are always true regarding the diagram, as follows:
1. m∠5 + m∠6 = 180°
2. ∠ 2+ ∠ 3 = ∠ 6
3. m∠2 + m∠3 + m∠5 = 180°
What is the interior Angle?An interior angle is defined as an angle produced on the inside of a polygon by extending the sides of the polygon.
Consider Δ ABC with Exterior angles as
∠ 1 , ∠ 4 , and ∠ 6
For Exterior ∠ 1 we have
∠ 1 = ∠ 5 + ∠ 3
This true due to Exterior angle Property of Triangle
Similarly,
For Exterior ∠ 4 we have
∠ 4 = ∠ 5 + ∠ 2.
This true due to the Exterior angle Property of the Triangle
Similarly,
For Exterior ∠ 6 we have
∠ 6 = ∠ 2 + ∠ 3
In a triangle sum of the measures of angles is equal to 180°
∴ m∠2 + m∠3 + m∠5 = 180°
This is true due to Triangle Sum Property
A straight angle has a measurement of 180 degrees, hence a linear pair of angles must sum up to 180 degrees.
∴ m∠5 + m∠6 = 180°
This true due to the Linear Pair.
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Select the correct answer.
Which number best represents the slope of the graphed line? -3, -1/3, 1/3 or 3?
The slope of a graphed line that spans grid points (0, 2) and best represents the slope as -5 (1, -3)
what is slope ?A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).
given
If the line rises to the right, the slope has a positive sign. The slope of this line is negative since it descends to the right. (Removes options C and D)
The ratio of the vertical to horizontal distance between two sites determines the slope's magnitude. This line has a slope of rise/run = -5/1 = -5 because it descends five vertical squares for every square to the right.
-5 is the best way to describe the slope.
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8 dm to 3.2 dm
as fraction
helpp pls
The value of 8dm to 3.2 dm as a fraction is 2 1/2.
How to illustrate the fraction?It is important to note that a fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
8dm to 3.2 dm as a fraction will be simply be gotten by dividing the values that are given in the question.
In this case, this will be Illustrated as:
= 8 / 3.2
= 80 / 32
= 5 / 2
= 2 1/2
Therefore, the fraction is 2 1/2.
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what is 100000 times 1/100000 as multiplying 10 to a power by 10 to a power
Answer:
The correct answer would be 10^0.
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
[tex]\frac{10^{5} }{10^{5} }[/tex] When the bases are the same and you are dividing, you subtract the exponents.
[tex]10^{5-5}[/tex]
[tex]10^{0}[/tex]
A number with an exponent of 0 equals 1
Mrs. Bowlin organized the glue sticks into 7 bins. How many glue
sticks were in each bin? ANSWER QUICKLY PLEASE ANYONE
Answer:
35
Step-by-step explanation:
245 divided by 7 = 35
Answer:
Yeah if she has 245 glue sticks and put the glue sticks in 7 bins ofc we are going to be dividing.
Step-by-step explanation:
245 divided by 7 = 35
What is the factored form of 3x 24y?
The factored form of the expression [tex]3x+24y[/tex] can be written by using distributive Property as [tex]3(x+8y)[/tex] .
The expression is given as : [tex]3x+24y[/tex] ;
we have to write the factored form this expression ;
we use the distributive property , to write the factored form ,
the distributive property ⇒ states that for any three numbers the condition [tex]a(b+c) = ab+ac[/tex] is satisfied;
the first term of the expression is 3x ,
the second term of the expression is 24y , which can be written as [tex]3\times 8y[/tex] ;
In the first and second term , we can see that 3 is the common factor in both the terms ,
Therefore , the factored form can be written as [tex]3(x+8y)[/tex] .
The given question is incomplete , the complete question is
What is the factored form of the expression [tex]3x+24y[/tex] ?
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After taking the common, the factored form of 3x + 24y is 3(x + 8y).
In the given question, we have to find the factored form of 3x + 24y.
The given expression is 3x + 24y.
The following is how we factor the GCF out of a polynomial:
(1) Determine the polynomial's GCF for each term.
(2) Present each term as the GCF and another factor's product.
(3) To factor out the GCF, use the distributive property.
To solve this question, we take common the number that are common in both terms. Then We solve this expression.
Taking 3 common
3x + 24y = 3(x + 8y)
Hence, the factored form of 3x + 24y is 3(x + 8y).
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The complete answer is:
What is the factored form of 3x + 24y?
4)Kelly and her friends ordered fries and milkshakes at a diner. They ordered 3 plates of
fries and 5 milkshakes. Each plate of fries cost $4, and each milkshake cost $7. How much
did they spend in all?
Answer:
$47
Step-by-step explanation:
(3 plates)($4/plate) + (5 shakes)($7/shake) = $47
HELP QUICK!!!
Find the distance between the two points. If necessary, round to the nearest tenth.
P(-3,-2) and Q(5,1)
Answer:
8.5440037453175 or 8.5 since the directions say to round, if necessary. Please let me know if you have any questions about this! Also, please mark brainliest! Thanks so much and have a blessed day!
Answer:
8.5
Step-by-step explanation:
Answer in the diagram
What is the part of line having 1 endpoint and extending in one direction?
A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.
A ray is named using its endpoint first, and then any other point on the ray
Properties of ray:
A line is a series of points placed together that continue infinitely.When this line is restricted from one direction and is extended in the other direction indefinitely, it forms a ray.It has just one starting point and does not have an opposite end and goes through and cuts many points and lines and is often used to draw angles, and we cannot measure the length of a ray.To know more about ray:
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Which action is most helpful in preventing sexual involvement?
1. bringing condoms “just in case”
2. voicing personal boundaries
3. indicating that parents will be upset
4. suggesting that it is not the right time for a dating relationship
The correct answer for preventing sexual involvement would be option 2: voicing personal boundaries.
Voicing personal boundaries: This action is crucial in preventing sexual involvement.
By clearly communicating one's personal boundaries, desires, and limits, individuals establish their autonomy and expectations within a relationship. Open and honest communication allows both parties to understand and respect each other's boundaries, leading to a healthier dynamic.
Voicing personal boundaries is essential because it allows individuals to communicate their limits and expectations regarding sexual involvement, promoting consent and healthy relationships.
It empowers individuals to take ownership of their bodies and decisions, fostering an environment where all parties involved can make informed choices and respect each other's boundaries.
Hence the correct option is 2.
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Priya was busy studying this week and ran 9 fewer miles than last week. Elena ran as far 1 9 as Priya did this week. Elena only ran 4 miles this week. How many miles did Priya run last week?
Answer:
1) The number of miles Priya ran last week was 43 miles
2) The way Elena found Priya's miles is faster compared to the way it was found here
Step-by-step explanation:
1) The number of miles Priya ran this week = The number of miles Priya ran last week - 7
The number of miles Priya ran this week = 9 × The number of miles Elena ran this week
The number of miles Elena ran this week = 4 miles
Therefore;
Let the number of miles Priya ran last week = x miles
The number of miles Priya ran this week = (x - 7) miles
Therefore, we have
(x - 7) = 9 × The number of miles Elena ran this week = 9 × 4 miles = 36 miles
x = (36 + 7) miles = 43 miles
The number of miles Priya ran last week = x miles = 43 miles
The number of miles Priya ran last week = 43 miles
2) From (x - 7) = 9 × The number of miles Elena ran this week = 9 × 4 miles = 36 miles, we have;
(x - 7) = 9 × 4
1/9(x - 7) = 4
Therefore, multiplying by 9, we have;
9 × 1/9(x - 7) = 9 × 4
(x - 7) = 9 × 4 = 36
x - 7 + 7 = 36 + 7
x = 43 miles
Therefore, the way Elena found Priya's miles is faster compared to the way it is found here
Solve for X, Leave in simplest radical form. (Help, and the degree shown is 30)
The simplest radical form of X of the triangle is [tex]\sqrt{}[/tex]30.
How can the value of x be determined in its simplest radical form?AI Recommended Response Division by the radical sign yields the value of x in its simplest radical form.
Due to the absence of any perfect square factors for the number beneath the square root,[tex]\sqrt{}[/tex] 30 is in its simplest radical form.
Due to the fact that the number under the square root,
[tex]\sqrt{}[/tex]30 = [tex]\sqrt{2} * \sqrt{3} *\sqrt{5}[/tex]
may be factored to equal, and that [tex]\sqrt{}[/tex]30 is a perfect square since
is not in its simplest radical form.
so we can add [tex]\sqrt{30}[/tex]
The simplest radical form of X of the triangle is [tex]\sqrt{}[/tex]30
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The set $S$ is the union of the set of all points inside a regular nonagon with side length $2$ units and the set of all points less than $1$ unit away from an arbitrary point on the perimeter of the nonagon. What, in units, is the perimeter of $S$
The perimeter of nonagon in units is 24.28 units.
The perimeter is comprised of 9 segments of length 2 plus the circumference of a circle with a radius of 1 [each curved part of S is 1/9 of this circumference and there are 9 of them ]
The perimeter = 9*2 + 2pi (1) = 18 + 2pi ≈ 24.28 units
Calculate the perimeter of many forms by summing the lengths of their sides. Since there are two of each side length, the perimeter is calculated by simply adding the length and width and multiplying the result by two. The formula for perimeter is perimeter=(length+width)2.
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Mandy bought p notebooks for the first day of school. She gave her brother 4 of the notebooks. Mandy had more than 3 notebooks left. Which inequality represents p, the number of notebooks Mandy bought?
Answer: 8 or more, There is no exact number.
Step-by-step explanation:
4 - p = -4
then to get to greater than 3, you have to do -4 + 8 = 4
So Mandy bought 8 or more notebooks
Factor this expression completely, then place the factors in the proper location on the grid. X 3 - 1.
The expression will be (x - 1) (x² + x + 1).
How to find the expression ?
As per given x³ - 1, The first things you have to do is rewrite the the expression as :
a³ ± b³ : x³ - 1³
then factorize both expression
a³ ± b³ : x³ - 1³ = (a ± b) (a² ± ab + b²) : (x - 1) (x² + x + 1²)
last, calculate the power of (x - 1) (x² + x + 1²)
(x - 1) (x² + x + 1²) = (x - 1) (x² + x + 1)
Hence, the answer of that question will be (x - 1) (x² + x + 1)
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What is the slope of the line?
-1/4 is the slope of the line draw in the graph.
What is the slope?An indication as to how sharp a line is its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).
The ratio of the increase in elevation between two places to the run in elevation between those same two points is referred to as the slope.
Slope-related equations The "change in y" over the "change in x" of a line is referred to as the slope. By dividing (y₂ - y₁) over (x₂ - x₁) and choosing two locations on the line (x₁, y₁) and (x₂, y₂), you can get the slope.
Slope = (y₂ - y₁) / (x₂ - x₁)
Here, (x₁, y₁) = (4,0)
(x₂, y₂) = (0,1)
Thus, slope = (1 - 0) / (0 - 4)
slope = - 1/4
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Please help
Which equations represent linear functions?
Select all that apply.
y=x(2x+4)
x=2y+4
y=x2−19
y=3x2 squared 2
x=y
Answer:
x = 2y+4
y = 3x2 squared 2
x = y
Step-by-step explanation:
When renting a limo for prom, the number of people is inversely proportional to the cost per person. Originally there were 3 people and the cost per person was $72. If the number of people changed to 12, what would be the new cost per person?
If the number of people changed to 12, the new cost per person is equal to $18.
What is an inverse variation?In Mathematics, an inverse variation can be modeled or represented by this mathematical expression:
p ∝ 1/c
p = k/c
Where:
p represents the number of people.c represents the cost per person.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:
k = pc
k = 3(72)
k = 216
Now, we can determine the value of c:
c = k/p
c = 216/12
c = $18.
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Why is -3 a solution to 1 over 3x - 6 = -7
The solution of (1/3x) -6 = -7 will be -1 / 3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is (1/3x) -6 = -7. The expression will be solved as below:-
(1/3x) -6 = -7
1 / 3x = -7 + 6
1 / 3x = -1
x = -1 / 3
Hence, the solution of the expression for the value of x will be -1 / 3.
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4. An artice marked at Rs.800 sold at a
Discount of 10%.Find its cost
price, if the dealer makes a profit of. 20% , also find its profit
The profit is Rs. 200.
What is discount?The pricing system in which a commodity's (goods or services') price is lower than its listed price is referred to as a "discount." Simply put, "discount" refers to a percentage of the advertised price. A discount is a type of price reduction on products that is seen in consumer transactions. In these transactions, buyers propose a percentage of rebates on various products to increase sales. A discount is the seller's offer of a discount to the buyer.
Given marked price = Rs. 800
discount % = 10%
discount = 10% of 800
discount = 800 x 0.1 = 80
selling price = marked price - discount
selling price = 800 - 80 = Rs. 720
The dealer makes a profit of 20% means is selling the article at 120%.
120%=720
1%=6
Hence, 100%=600
Thus, the cost price of article= 600
profit = SP - CP = 800 - 600
profit = Rs. 200
Hence profit is Rs. 200.
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Describe an algorithm that takes as input a list of n integers and produces as output the largest difference obtained by subtracting an integer in the list from the one following it.
The conductance of a conductor is inversely related to the cross-sectional area of the conductor.
Conductance is directly related to the ease offered by any material to the passage of electric current. Conductance is the opposite of resistance. The higher the conductance, the lower the resistance, and vice versa, the greater the resistance, the less conductance, so both are inversely proportional
Refer to this complete questionWhich of the following describes the relationship of conductance to a conductor?
The conductance of a conductor is directly proportional to the length of the conductor.
The conductance of a conductor is directly proportional to the cross-sectional area of the conductor.
The conductance of a conductor is inversely proportional to the square of the length of the conductor.
The conductance of a conductor is inversely proportional to the cross-sectional area of the conductor.
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Which of the following statements are true when considered direct student loans
(Stafford Loans)?
A direct subsidized loan requires you start paying interest immediately while you
are in school.
A direct unsubsidized loan will not cover interest while you are in school, and
you are responsible for paying the interest while you are in school.
A direct subsidized loan will cover the interest on the loan while you are in
school.
A direct unsubsidized loan will not require interest be paid until you graduate or
leave the school.
You are responsible for paying the interest while you are in school because a direct unsubsidized loan does not cover it.
What is meant by direct student loans?The Federal Direct Loan Program through William D. Ford offers "loans with low interest rates that parents and students can use to help cover the expense of a student's post-high school education. A bank or other financial institution is not the lender; rather, it is the U.S. Department of Education."
The U.S. Department of Education issues federal direct loans, which are loans for students. In most cases, if you obtained a federal student loan or consolidated your debt on or after July 1, 2010, you have a federal Direct Loan.
Federal and private loans are the two main categories of student loans. Federal government funding is used to support federal parent and student loans. Private student loans are made by lenders such as banks, credit unions, state agencies, or educational institutions and are not provided by the federal government.
Therefore, the correct answer is option a) A direct unsubsidized loan will not cover interest while you are in school, and you are responsible for paying the interest while you are in school.
The complete question is:
Which of the following statements are true when considered direct student loans (Stafford Loans)?
A direct subsidized loan requires you start paying interest immediately while you are in school.
A direct subsidized loan will cover the interest on the loan while you are in school.
A direct unsubsidized loan will not require interest be paid until you graduate or leave the school.
A direct unsubsidized loan will not cover interest while you are in school, and you are responsible for paying the interest while you are in school.
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Calculate the double integral.∫∫R 8x/1+xydA ; R = [0,8]×[0,1]
The double integral ∫∫R 8x/1+xydA ; R = [0,8]×[0,1] is evaluated using the iterated integral formula, and the value of the integral is found to be 5.99146454710798.
The double integral can be calculated using the iterated integral formula:
∫∫R 8x/1+xydA = ∫0,1 ∫0,8 8x/1+xydxdy
= ∫0,1 [8x/1+xydx]|0,8dy
= ∫0,1 [8ln(1+8y) - 8ln(1+0)]dy
= 8ln(1+8) - 8ln(1)
= 8ln(9) - 8ln(1)
= 8ln(9)
= 5.99146454710798
The double integral is calculated by transforming it into an iterated integral. This is done by evaluating the inner integral first and then the outer integral. The inner integral is evaluated by using the fundamental theorem of calculus and the outer integral is evaluated by substituting the upper and lower limits of the integral. Finally, the value of the double integral is calculated by subtracting the expression for the lower limit from the expression for the upper limit.
The double integral ∫∫R 8x/1+xydA ; R = [0,8]×[0,1] is evaluated using the iterated integral formula, and the value of the integral is found to be 5.99146454710798.
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the eighth grade class at lincoln middle school has 93 students. each student takes a math class or a foreign language class/or both. there are 70 eighth graders taking a math class, and there are 54 eighth graders taking a foreign language class. how many eighth graders take only a math class and not a foreign language class?
31 students eighth graders take only a math class and not a foreign language class
The computation of eighth graders take only a current events class and not a foreign language class is shown below:-
We will assume the x that shows the number of students which we will take both languages
So, the equation will be
70 + 54 - x = 93
-x = 93 - 124
x = 31 students
So the number of eighth graders only take a current event class is
= 70 - 39
= 31 students
31 students eighth graders take only a math class and not a foreign language class
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Rate constant help? Greatly appreciated!
Consider the reaction A-->B
-2 The rate of the reaction is 1.6 × 10 M/s when the concentration of A is 0.11 M.
Calculate the rate constant if the reaction is first order in A. (Give units.)
A. s
B. s -1
C. M
D. M -1
E. M/s
-1 -1 F. M • S
Calculate the rate constant if the reaction is second order in A. (Give units.)
A. s
B. s -1
C. M
D. M-1
E. M/s
F. M -1 • S
F. M⁻¹ s⁻¹
The rate constant if reaction is second order in A is:D. M⁻¹
RATE CONSTANT REACTIONIf the reaction is first order in A, the rate law is rate = k[A], where k is the rate constant. Since the rate of the reaction is 1.6 x 10⁻³ M/s and the concentration of A is 0.11 M, we can find the value of the rate constant by plugging in the given values:
1.6 x 10⁻³ M/s = k(0.11 M)
Solving for k:
k = (1.6 x 10⁻³ M/s) / (0.11 M) = 14.55 x 10⁻⁴ s⁻¹
So the rate constant for a first order reaction in A is 14.55 x 10⁻⁴ s⁻¹.
If the reaction is second order in A, the rate law is rate = k[A]², where k is the rate constant. Since the rate of the reaction is 1.6 x 10⁻³ M/s and the concentration of A is 0.11 M, we can find the value of the rate constant by plugging in the given values:
1.6 x 10⁻³ M/s = k(0.11 M)²
Solving for k:
k = (1.6 x 10⁻³ M/s) / (0.11 M)² = 0.1395 x 10⁻³ M⁻¹ s⁻¹
So the rate constant for a second order reaction in A is 0.1395 x 10⁻³M⁻¹ s⁻¹.
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Adaptive Cruise Control with Cloud Connectivity Objective Use MATLA to develop and implement an adaptive cruise control system for vehicles that automatically adjusts the speed to maintain a safe distance from vehicles ahead. The speed information has to be uploaded on the cloud to support connected vehicles and intelligent transport. Hardware Arduino uno x 1, button x 5, distance sensor x 1, 4 digit 7-segment anode display x 1 Description Implement an adaptive cruise control system using the Arduino UNO board. The system is controlled by five buttons of (1) Set_speed, (2) Adaptive_speed, (3) Cancel, (4) Increase_speed, and (5) Decrease_speed. After power on, the display has to show the initial speed of 0. 1. When the increase_speed button is pressed, the speed increases, and when the Decrease_speed button is pressed the speed decreases however without pressing the Set_speed button the speed will not remain constant and it changes slowly over time. 2. When the Set_speed button is pressed the system enters the cruise control mode where the speed is held constant. In this mode, the Increase_speed button and the Decrease_speed button are still functional and can be used to change the Set_speed. If the Cancel button is pressed, the system quits the cruise control mode where the speed decreases slowly. 3. If the Adaptive_speed button is pressed, the speed is set and held constant until a vehicle shows up at the front or an object is detected where the speed automatically decreases. When the road becomes clear, the speed increases to reach the set speed again. In the adaptive cruise control mode, the display has to blink to differentiate this mode from the cruise mode. In this mode, the Increase_speed button and the Decrease_speed button do not function but the Cancel button can still be used to quit the adaptive cruise mode. If the Cancel button is pressed, the display stops blinking and the vehicle speed begins to slow down. 4. The implemented system has to be able to communicate with the ThingSpeak platform to store the speed data on the cloud. ThingSpeak is an Internet of Things (IoT) application that supports MATLAB to analyze and visualize data
The objective is to develop and implement an adaptive cruise control system for vehicles using MATLAB, Arduino UNO, and ThingSpeak that automatically adjusts the speed to maintain a safe distance from vehicles ahead and uploads speed information to the cloud for connected vehicles and intelligent transport.
The system uses an Arduino UNO board, five buttons, a distance sensor, and a 4-digit 7-segment anode display. The buttons include Set_speed, Adaptive_speed, Cancel, Increase_speed, and Decrease_speed. The system has two modes, cruise control, and adaptive cruise control.
In cruise control, the speed is held constant and can be adjusted with the Increase_speed and Decrease_speed buttons. In adaptive cruise control, the speed automatically adjusts to maintain a safe distance from vehicles or objects in front and the display blinks to indicate this mode.
The system also communicates with the ThingSpeak platform to store speed data on the cloud for analysis and visualization in MATLAB.
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Kevin invests money in an account paying simple interest. He invests $40 and no money is added or removed from the investment. After one year, he has $42.80. What is the simple percent interest per year?
The simple interest is 7% per year.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
The formula to calculate the simple interest is;
S.I. = P x T x R / 100,
Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.
Given:
Kevin invests money in an account paying simple interest.
He invests $40 and no money is added or removed from the investment. After one year, he has $42.80.
That means,
A = $42.80, P = $40, T = 1 year.
So,
R =(1/T) (A/P - 1)
R = (1/1)((42.8/40) - 1) = 0.07
R = 0.07
Therefore, interest rate is 7% per year.
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Todd and his friends are painting 5 equal sections of a wall. The wall is 10 feet tall, but its length is unknown.
Each section will be a different color, so they need to know the area of each section.
1. Write an expression for the total area of the wall. Explain how you came up with your expression. (3 points)
2. To find the area of each section, what do you need to do to the total area? (3 points)
3. Write an expression for the area of each section of the wall. (4 points)
5(10x) is the expression for the total area of the wall, the total area you just need to divide by five to find the area of each section and 10x is an expression for the area of each section
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that Todd and his friends are painting 5 equal sections of a wall.
The wall is 10 feet tall, but its length is unknown.
Let the unknown length is x
Expression for the total area of the wall is 5(10x)
To get area you do like the times width so it’s 10 times X and theres five sections
If you have the total area you just need to divide by five to find the area of each section
10x is an expression for the area of each section of the wall because it’s just the length times the width of the wall segment
Hence, 5(10x) is the expression for the total area of the wall, the total area you just need to divide by five to find the area of each section and 10x is an expression for the area of each section
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Timmy writes the equation f(x) = f(x) equals StartFraction one-fourth EndFraction x minus 1.x – 1. He then doubles both of the terms on the right side to create the equation g(x) = g(x) equals StartFraction one-half EndFraction x minus 2.x – 2. How does the graph of g(x) compare to the graph of f(x)?
The graph of the equation of g(x) is steeper than the graph of f(x) and has a lower y-intercept.
What is slope of a line?The ratio of how much y grows as x grows by a certain amount is called the slope of a line. A line's slope, or the amount by which y rises as x rises, indicates how steep a line is.
Given that the equation of f(x) and g(x) are as follows:
[tex]f(x) = \frac{1}{4} x -1\\\\g(x) = \frac{1}{2} x -2[/tex]
Using the slope-intercept form [tex]y=mx+C[/tex], and comparing with the equations we have:
Here, m is the slope and C is the y-intercept.
Slope of f(x) = [tex]\frac{1}{4}[/tex]
Slope of g(x) = [tex]\frac{1}{2}[/tex]
y-intercept of f(x) = -1
y-intercept of g(x) = -2
The slope of g(x) is greater than the slope of f(x), also, the y-intercept of g(x) is less than the y-intercept of f(x).
Hence, the slope of g(x) is steeper than f(x) and has a lower y-intercept.
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