The sum of the three sides of the triangle is 24.
The sum of three sides of a triangle is calculated using the formula S = a + b + c, where a, b, and c are the lengths of each side of the triangle.
To calculate the sum of three sides of a triangle, first measure the lengths of each side and assign a value for each side. For example, if the lengths of the sides are 6, 8, and 10 respectively, then the values for each side would be a = 6, b = 8, and c = 10.
Next, plug in the values of the sides into the formula S = a + b + c to calculate the sum:
S = 6 + 8 + 10
S = 24
Therefore, the sum of the three sides of the triangle is 24.
Learn more about triangle here:
https://brainly.com/question/2773823
#SPJ4
Lia need to ell at leat 140 card to make a profit. Monday-thurday he ell 15,7,14,45 card. How many more will he need to ell on friday to make a profit?
Lisa needs to sell fifty nine (59) cards on Friday to make a profit, based on total 140 cards and the information on number of cards sold per day.
The total number of cards to be sold for profit = number of cards sold till Thursday + Remaining cards
We need to calculate remaining cards, but before that, we will find the sum of sold cards.
Number of cards sold = 15 + 7 + 14 + 45
Performing addition on Right Hand Side of the equation
Number of cards sold = 81
Remaining cards = 140 - 81
Performing subtraction on Right Hand Side of the equation
Remaining cards = 59
Thus, required number of cards is 59.
Learn more about addition -
https://brainly.com/question/24536701
#SPJ4
The complete question is-
Lisa need to sell at leat 140 card to make a profit. Monday-thursday she sell 15,7,14,45 card. How many more will she need to sell on friday to make a profit?
(PLS HELP QUICKLY!) (ONLY HAVE 10 MINUTES!!! PLS HELP)
A fundraiser is being held to raise money for a new school playground. Of every $20 raised, $16 will be spent on playground equipment. If the goal of the fundraiser is $320.00 for playground equipment, how much money will it need to raise?
Answer:
$400
Step-by-step explanation:
If $16 will be spent, then you should do 320/16=20 to find out how many times people are donating. Since that answer what 20, they need people to give 20*20=400 oo be able to raise enough money fOr playground equipment
Radicals help please
The simplified form of radical √18 . 3√5 = 9√10
What is radical?In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher. When the radical symbol is used to denote any root other than a square root, there will be a superscript number in the 'V'-shaped part of the symbol.
For example, ³√(8) means to find the cube root of 8. If there is no superscript number, the radical expression is calling for the square root.
The term underneath the radical symbol is called the radicand.
Given radical
√18 . 3√5
⇒ √(9 × 2) . 3√5
⇒ 3√2 . 3√5
⇒ 9(√2.5)
⇒ 9√10
⇒ 28.46
Hence, The radical √18 . 3√5 can be simplified to 9√10 having value = 28.46
Learn more about radicals here:
https://brainly.com/question/1597269
#SPJ1
Sarah ran 3,682 m yesterday on the track at her school. One time around the track is 263 m. Sarah wants to run 4,222 m today. Which number sentence can be used to calculate how many laps around the track Sarah should run today?
The total number of laps Sarah should run today is given by the equation A = 16 laps
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of laps be represented as A
Now , the equation will be
The total distance ran by Sarah yesterday = 3,682 m
The distance of one lap = 263 m
So , the number of laps ran by Sarah yesterday = total distance ran by Sarah yesterday / distance of one lap
Substituting the values in the equation , we get
The number of laps ran by Sarah yesterday = 3682 / 263
The number of laps ran by Sarah yesterday = 14 laps
Now ,
The distance Sarah wants to run today = 4,222 m
So , the number of laps Sarah should run today A = distance Sarah wants to run today / distance of one lap
Substituting the values in the equation , we get
The number of laps Sarah should run today A = 4,222 / 263
The number of laps Sarah should run today A = 16.05 laps
The number of laps Sarah should run today A = 16 laps
Therefore , the value of A is 16 laps
Hence , the number of laps is 16 laps
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Explain how I do this please and thank you!
Answer:
Step-by-step explanation:
You need to add both of the angles you already know (1 and 2). If you add angle 1 and angle 2 you get 74. This means m < J K M would be 74°.
Answer:
74 degrees
Step-by-step explanation:
You have to add angles 1 and 2
35 +39=74
Therefore, 74 is the answer
7. You just landed back in Michigan at the airport, but cannot remember where you
parked your car. There are 8 letter sections (A, B, C, D, E, F, G, H) and each
section is labeled 1-22 in the lot. Find the probability that you correctly guess
the letter section and then guess the correct number section where your car is
located. Write your answer as a percentage rounded to the hundredth.
The probability that you correctly guess the letter section and then guess the correct number section where your car is located is 0.01.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total possible outcomes.
= 8 x 22
= 176
Now,
Probability of guessing the correct letter.
= [tex]^8C_1[/tex] / 176
Probability of guessing the correct section.
= [tex]^{22}C_1[/tex] / 176
The probability that you correctly guess the letter section and then guess the correct number section.
= [tex]^8C_1 \times ^{22}C_1[/tex] / 176 x 176
= 8 x 22 / 176 x 176
= 1 / 176
= 0 .005
= 0.01
Thus,
The probability that you correctly guess where your car is located is 0.01.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ1
Sunnyvale School is having their
annual lobster race. A team
consists of five lobsters. The
team score is the average of the five finishing place positions. His sister sally’s team has consistently finished behind his team, however, an unusual pattern has been noticed. For example, Sally’s first lobster finished right behind Peter’s first lobster. Her second lobster finished 2 places behind peter’s second lobster. Her third lobster finished 3 places behind peter’s third, her fourth was 4 places behind his fourth and her fifth was 5 places behind his fifth.
What is Sally's team score?
Sally's team score is 6.
We can determine Sally's team score by calculating the average of her team's finishing place positions.
From the information given, we know that:
Sally's first lobster finished one place behind Peter's first lobster.Sally's second lobster finished 2 places behind Peter's second lobster.Sally's third lobster finished 3 places behind Peter's third lobster.Sally's fourth lobster finished 4 places behind Peter's fourth lobster.Sally's fifth lobster finished 5 places behind Peter's fifth lobster.If we assume that Peter's team finished in 1st, 2nd, 3rd, 4th and 5th places, then we can calculate Sally's team score as follows:
Sally's first lobster finished in 2nd placeSally's second lobster finished in 4th placeSally's third lobster finished in 6th placeSally's fourth lobster finished in 8th placeSally's fifth lobster finished in 10th placeTo find the average of the five finishing place positions, we add up all the places and divide by 5:
(2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6
So, Sally's team score is 6.
Learn more about average here: https://brainly.com/question/20118982
#SPJ4
by means of the definition, find the derivative of the function 'F' f(x)=6
We know that the derivative means the rate of change of the function. Graphically, this means that the derivative is the slope of the graph of that function.
How do you find the derivatives by using the Definition?The derivative of a function is the slope of the curve for the specified function. Physically speaking, the derivative of a function is the instantaneous rate of change of a function with respect to the variable at a location.
A securities with a price that is based on or derived from one or more underlying assets is referred to as a derivative. A contract between two or more parties based on the asset or assets constitutes the derivative itself. Changes in the underlying asset's value affect its value.
The instantaneous pace at which a function changes with regard to one of its variables is known as the derivative. Finding the slope of the tangent line to the function at a certain location is equal to doing this.
lim/h→0f(x+h)−f(x)h=f'(x).
lim/h→06−6/h=0.
f'(x)=limΔx→0
f'(x)=limΔx→0
f(x+Δx)−f(x)Δx=
f'(x)=limΔx→06−6Δx=0
To Learn more about derivatives refer to:
https://brainly.com/question/28376218
#SPJ1
What’s the slope of the line graphed below?
Answer:
slope = (3/2)
Step-by-step explanation:
point 1: (-1, 1); Point 2: (1, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - 1 3 3
----------- = ------------ = --------- = -------
x₂ - x₁ 1 - (-1) 1 + 1 2
I hope this helps!
Which of the following ordered pairs are in the solution set of 0.5x - y>2? (Is it solved for y)
Answer:
Any ordered pair #(x, y)# that satisfies #x>=6+4y#Or, in set notation, #Solution={(x, y)|x>=6+4y}#Explanation:Now, there is a little problem here - it is that you never specified which ordered pair needs to be evaluated to satisfy the condition #0.5x-2y>=3# Allow me to explain.Below is a graph of the inequality of your question:graph{0.5x-2y>=3 [-10, 10, -5, 5]}To answer which point is in the solution set, well the answer is that any point that is on or within the shaded area is part of the solution set.
Step-by-step explanation:
write an expression to describe a rule for the sequence. then find the 100th term in the sequence 5 13 21
The expression is 8n – 3; The 100th term is 797
How to calculate the 100th term in sequence?The nth term of an arithmetic sequence is given by:
an=a1+(100-1)d ....[1]
where
a1 is the first term
d is the common difference of two consecutive terms.
n is the number of terms.
Given the sequence:
5, 13, 21, 29, 37, 45, …
This is an arithmetic sequence with first term = 5 and common difference(d) = 8
Since;
13-5 = 8,
21-13 = 8,
29-21 = 8 and so on....
We have to find the 100th term in the sequence
Substitute in [1] we have;
an=a1+(100-1)d
an=5+(n-1)8=5+8n-8 = 8n-3
Substitute the given values and n=100 we have;
a100= 800 - 3 = 797
Therefore, the 100th term in the sequence is, 797 and an expression to describe a rule for the sequence is, 8n – 3;
To learn more about arithmetic sequence refer to :
https://brainly.com/question/6561461
#SPJ4
3 Select the correct answer. Which value of x makes this equation true? -5(x-20)=35 A. -11 B. 13 C.27 D.-3
Find the value of b.
Image is below please explain and give correct answer !!
The value of b is degree 104.we can find by using vertically opposite theorem.
What is vertically opposite in maths?Vertical Angles are when two lines intersect each other then the opposite angles formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.The point where they meet is called a vertex.
How do we identify opposite angles?Vertical opposite angles that are opposite each other when two lines cross are also known as vertical angles because the two angles share the same corner. Opposite angles are also congruent angles meaning they are equal or have the same measurement.
Now we have
(b-308)=(-2b+4)
b+2b=4+308
3b=312
b=104
Hence the value of b is 104 degree.
To learn more about vertical opposite angle visit;
https://brainly.com/question/18045519
#SPJ1
Evaluate the expression x2+y210 when x = 6 and y = 8.
A:100
B: 1 2/5
C: 2 4/5
D: 10
Give 2 numercial expressions that can be compared without calculating the values. Explain.
The numercial expressions that can be compared without calculating the values include:
3x^2 + 4x - 5 > 2x^2 + x - 3
2/x < 4/x
How to illustrate the expressionIn 3x^2 + 4x - 5 > 2x^2 + x - 3. This expression can be compared without calculating the values because it is a comparison of polynomials of the same degree (both are quadratics). The degree of a polynomial (in this case 2) is the highest power of the variable in the expression. Since the degree is the same, we can directly compare the coefficients of the highest degree term (x^2) and the second highest degree term (x) without calculating the values. In this case, 3x^2 > 2x^2 and 4x > x, therefore the polynomial on the left side is greater than the polynomial on the right side.
For 2/x < 4/x, this expression can be compared without calculating the values because it is a comparison of two different fractions, both of which have a common denominator of x^2. Since the denominators are the same, we can directly compare the numerators. In this case, 2 < 4, therefore the fraction on the left side is less than the fraction on the right side.
Learn more about expressions on:
https://brainly.com/question/723406
#SPJ1
Is (1,-2) a solution to this system of equations?
20x+20y=-2
2x+5y=-8
YES OR NO
The point (1, -2) is not a solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, the correct option is NO, the solution is (2.5, -2.6)
What is a system of equations?A system of equations are two (or more) equations that have common variables.
The system of equation is presented as follows;
20·x + 20·y = -2
2·x + 5·y = -8
The specified possible solution of the equation is; (1, -2)
Making y the subject of each of the equations, and plugging in the value of x = 1, for the first equation, we get;
20·x + 20·y = -2
20·y = -2 - 20·x
y = (-2 - 20·x)/20
Therefore; y = (-2 - 20 × 1)/20 = -1.1
When x = 1, y = -1.1, therefore, the point (1, -2), is not a solution to the first equation, 20·x + 20·y = -2
Evaluating the second equation, we get;
2·x + 5·y = -8
5·y = -8 - 2·x
y = (-8 - 2·x)/5
Plugging in x = 1, we get;
y = (-8 - 2 × 1)/5 = -2
When x = 1, y = -2, therefore, the point (1, -2), is a point on the graph of the second equation, 2·x + 5·y = -8, but it is not a solution to the system of equation
The solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, can by found by equating both expressions for y as follows;
y = (-2 - 20·x)/20 and y = (-8 - 2·x)/5
Therefore; (-2 - 20·x)/20 = (-8 - 2·x)/5
-10 - 100·x = -160 - 40·x
60·x = 150
x = 150 ÷ 60 = 2.5
x = 2.5
y = (-2 - 20 × 2.5)/20 = -2.6
y = -2.6
The correct option is therefore, no, the solution to the system of equation is; (2.5, -2.6)Learn more about systems of linear equations here: https://brainly.com/question/11867840
#SPJ1
giving brainliest to the best answer
If two even integers are multiplied, then the product is also even. Hypothesis: Two even integers are multiplied. Hypothesis starts after the word "if". Conclusion starts after the word "then".
How do you identify a hypothesis and conclusion?The sentence that comes just after the word "if" in a conditional statement is known as the hypothesis. The sentence that comes after the word then in a conditional statement is the conclusion.
If you earn high grades, the portion that follows the "if" is referred to as a hypothesis, and if you get good grades, the part that follows the "then" is referred to as a conclusion.
An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.
p → q
Read this: if p, then q.
If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue.
To learn more about Hypothesis refer :
brainly.com/question/606806
#SPJ1
If two even integers are multiplied, then the product is also even. Hypothesis: Two even integers are multiplied. Hypothesis starts after the word "if". Conclusion starts after the word "then".
How do you identify a hypothesis and conclusion?The sentence that comes just after the word "if" in a conditional statement is known as the hypothesis. The sentence that comes after the word then in a conditional statement is the conclusion.
If you earn high grades, the portion that follows the "if" is referred to as a hypothesis, and if you get good grades, the part that follows the "then" is referred to as a conclusion.
An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.
p → q
Read this: if p, then q.
If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue.
To learn more about Hypothesis refer :
brainly.com/question/606806
#SPJ1
If you flip a coin ten times, how many different sequences of heads and tails are possible? a. b. c. d.
The number of possible different sequences of heads and tails is 1024.
A list of numbers (or other components) that follow a specific pattern is called a sequence. An arithmetic progression is one of the common examples of sequence and series.
A sequence can be arranged in either ascending or descending order.
Each flip has two outcomes H or T, so in ten flips you can get a sequence like HTHHTHTTTH
The number of possible different sequences is simply 2*2*2*2*2*2*2*2*2*2 = 2^10 = 1024
Thus, The number of possible different sequences of heads and tails is 1024.
Complete question:
If you flip a coin ten times, how many different sequences of heads and tails are possible?
a. 2° = 512
b. 10 = 100
C. 102 = 1024
d. 210 = 1024
To know more about sequences visit: brainly.com/question/21961097
#SPJ4
PLEASE HELP ASAP, I WILL MARK YOU BRAINBLIEST <3 TYSM
The answers to each part is mentioned below.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is a straight line problem as shown in the question.
( 1 ) -(a) -
Now, 12 oz of honey will cost $5.4. So, we can write that -
1 ounce of honey will cost - (5.4/12)
Cost of 1 oz honey will be - $(0.45)
(b) -
Now, 12 oz of honey will cost $5.4. So, we can write that -
For $1, you can buy - (12/5.4) oz of honey.
Amount of honey bought in 1 dollar - 2.22 ounces
(c) -
We can write the equation as -
c = 0.45h
(d) -
The graph for this function is attached with the answer.
Therefore, the answers to each part is mentioned above.
To solve more questions on straight lines, visit the link below -
brainly.com/question/28951560
#SPJ1
The granola is selling for $2.88 and weighs 18 ounces. The
flaked cereal is selling for $4.32 and contains 24 ounces.
Which is the better buy? Show your thinking.
Drag each tile to the correct box. Arrange the steps in the correct order to solve this trigonometric equation3 sin 2 ( x )
For a trigonometric equation. Cos^2x=3sin^2x, the solution is mathematically given as x = π/6 + 2nπ.
What is trigonometry?Trigonometry is the study of angles and the angular connections of planar and three-dimensional shapes. Trigonometry is made up of trigonometric functions (also known as circle functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.
What is the solution of the trigonometric equation?Generally, the equation for the trigonometric equation is mathematically given as:
Cos^2x=3sin^2x
Therefore
1 - sin^2(x) = 3 sin^2(x)
1/4 = sin^2(x)
Hence introducing \pi
x = arcsin(1/2) + 2nπ
x = π/6 + 2nπ
In conclusion,
x = π/6 + 2nπ
For a trigonometric equation. Cos^2x=3sin^2x, the solution is mathematically given as x = π/6 + 2nπ.
Read more about trigonometry,
https://brainly.com/question/26157370
#SPJ4
Which pairs of events are independent? Select all that apply.
Answer:the last one is right, because you cannot control when rain happens, or where at that matter.
which algebraic expression represents the following phrase "2.5 less than a number d and 4"
The algebraic expression is represented as 4d - 2.5
What is an algebraic expression?An algebraic expression is simply defined as an expression that is composed of coefficients, factors, constants, terms, and variables.
They are also composed of mathematical operations, such as;
AdditionSubtractionDivisionBracketMuitiplicationParentheses, etcFrom the information given, we have that;
The variable = d
The constant = 2.5
The coefficient = 4
This is represented as;
4d - 2.5
Hence, the expression is 4d - 2.5
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
A family drives 4 1/4 miles in 1/10 of an
hour. How many miles will they drive
in 3/4 hour?
Therefore because of this, the answer to the speed problem is that a family can travel 31.875 miles in 3/4 of an hour.
Describe speed.Speed is a tempo that is determined by the distance an entity travels in a predetermined period of time. Numerous methods exist for measuring speed, including miles per hour, laps per minute, and meters per second. The measurements of speed, distance, and time are related. The relationship can be expressed in three different ways:
D = RT, R = DT, & T = DR.
Here,
We are given that
Distance drives by a family=4[tex]\frac{1}{4}[/tex] miles
Time = 1/10
We have to find the rate of speed in miles per hour.
The speed formula will be used to get the velocity in miles per hour.
Distance traveled in a given amount of time equals speed.
=> Speed = 17/4 * 10
=> Speed = 42.5
So, using the calculation, we arrive at 42.5 miles per hour.
The miles traveled in 3/4 miles are therefore:
Distance is calculated as speed times time,
therefore 42.5 * 3/4 would equal 31.875 miles in distance.
Because of this, the answer to the speed problem is that a family can travel 31.875 miles in 3/4 of an hour.
To know more about speed , visit
https://brainly.com/question/7359669
#SPJ1
Which description represents this equation? 7x-2=33
Answer:
Step-by-step explanation:
pull up in a monsta automobile gangsta
Answer:
7x = 33+2
7x = 35
x = 5
Step-by-step explanation:
A SIMPLE EQUATION
Find the sum of the interior angles of a nonagon.
A. 140°
B. 1,620°
C. 1,260°
D. 1,450°
The sum of the interior angles of a nonagon (a 9-sided polygon) is 1,450°.
1. The interior angles of a polygon can be calculated by subtracting 2 from the number of sides, then multiplying the result by 180°.
2. For a nonagon (a 9-sided polygon), the calculation is
(9-2) × 180° = 1,450°.
The sum of the interior angles of any polygon can be calculated using the formula
(n-2) × 180°,
where n is the number of sides of the polygon. This formula works because the sum of the interior angles of any polygon is always equal to (n-2) times the measure of a single interior angle. For a nonagon, a 9-sided polygon, the calculation is
(9-2) × 180° = 1,450°.
This means that the sum of the interior angles of a nonagon is 1,450°.
Learn more about angle here
https://brainly.com/question/28451077
#SPJ4
Please help me on these questions my homwork is due at 11:59 pm today!
Han will make $57.75 for 7 hours of babysitting.
What is line segment?In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between its endpoints.Given is a line segment RT.
We can write RT as -
RT = RS + ST
56 = (7y + 3) + (2y + 8)
(7y + 3) + (2y + 8) = 56
9y + 11 = 56
9y = 45
y = 5
Therefore, the value of {y} will be equivalent to 5.
To solve more questions on line segment, visit the link below -
https://brainly.com/question/1696052
#SPJ1
Greg has 14 as many songs on his computer as Mark. Raj has 6 fewer than 60% of the songs that Mark has. Mark has 720 songs on his computer.
Using percentage and equations, Greg has 734 songs, Raj has 426 songs and Mark has 720 songs
What is PercentagePercentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent symbol, "%". For example, 45% (read as "forty-five percent") is equal to 45/100, or 0.45. Percentages have no dimension, which it's why they are dimensionless number. for example 60% of a number, then it means 60 per cent of its whole.
In this problem, we can write an equations and solve to determine the number of songs Greg has on his computer.
Let;
x = number of songs Greg hasy = Number of songs Raj hasSince Mark has 720 songs in his computer;
x = 14 + 720
x = 734
Greg has 734 songs
We can calculate the number of songs Raj has by;
y = 60%(720) - 6
y = [(0.6) * 720] - 6
y = 426
Learn more on percentage here;
https://brainly.com/question/843074
#SPJ1
What ordered pairs are the solutions of the system of equations shown in the graph below?
Therefore ,the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).
Ordered pair: what is it?The term "ordered pair" refers to a pair of two variable that are shown in a way that they convey a specific order.
In an order pair, the first term denotes the x- and second term, the y-coordinates. The ordered pair is written in close brackets as shown in the example below.
Here ,
Is an equation system:
A set of equations is referred to as a system of equations when a limited set of equations is available and a common solution is sought.
The intersection of two lines, for the two equations drawn on a graph, represents the system's solution.
In the given graph, one linear line and one parabola is shown. In this graph the parabola intersect with the line at point (1,-4) and (4,-7).
Therefore ,the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).
To learn more about the ordered pair here;
brainly.com/question/5754926
#SPJ1
Music, in 2001, full-length cassettes represented 3. 4% of total music sales. Between 2001 and 2006, the percent decreased by about 0. 5% per year.
a. Write an equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006
b. Find the percent of recorded music sold as full-length cassettes in 2004
a) An equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006 : y = -0.5x + 3.4
b) The percent of recorded music sold as full-length cassettes in 2004 = 1.9%
As, between 2001 and 2006, the percent of recorded music sold was decreased by about 0. 5% per year.
This means, the slope m = -0.5
In 2001, full-length cassettes represented 3. 4% of total music sales.
This means the y-intercept would be c = 3.4
So, an equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006 would be,
y = mx + c
Substituting value of m and c,
y = -0.5x + 3.4
Now to find the percent of recorded music sold as full-length cassettes in 2004
Here, the number of years x would be
x = 2004 - 2001
x = 3
So, the percent of recorded music sold would be,
y = (-0.5 × 3) + 3.4
y = 1.9%
Learn more about an equation here:
https://brainly.com/question/649785
#SPJ4