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%
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5. Jamal got a job working on an assembly line in a toy factory. On the 20th day of work, he
assembled 137 toys. He noticed that since he started, every day he assembled 3 more
toys than the day before. How many toys did Jamal assemble altogether during his first
20 days?
(Arithmetic sequence)——
2170 toys Jamal assemble altogether during his first 20 days.
What is the arithmetic sequence?
A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.
Here, we have
Given: Jamal got a job working on an assembly line in a toy factory. On the 20th day of work, he assembled 137 toys. He noticed that since he started, every day he assembled 3 more toys than the day before.
We have to find how many toys did Jamal assemble altogether during his first 20 days.
We apply the arithmetic sequence formula and we get
tₙ = t₁ + (n-1)d
137 = t₁ + (20-1)(3)
t₁ = 80
To calculate the total number of toys that Jamal assemble in his first 20 days,
S₂₀ = (20/2)(2×80 + (20-1)(3))
S₂₀ = 2170
Hence, 2170 toys Jamal assemble altogether during his first 20 days.
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10.
Find the area of the shaded
a)
b)
14 cm
14 cm
d)
e)
Answer:
14 cm
Step-by-step explanation:
What is the degree of the polynomial 7x³ 5x 4x³ 2x²?
The degree of the polynomial 7x³ 5x 4x³ 2x² is 3.
The degree of a polynomial is the highest power of x in the polynomial.
In this case, the polynomial is 7x³ 5x 4x³ 2x², and the highest power of x is x³. This means that the degree of this polynomial is 3.
It's important to note that when working with polynomials it's important to pay attention to the signs of the coefficients. In this case, we have 7x³, 5x, 4x³, 2x². The x³ term has the highest degree and it's coefficient is 7, the x term has the second highest degree and it's coefficient is 5, the x³ term has the same degree as the first x³ term, but the coefficient is different, and the x² term has the fourth highest degree and it's coefficient is 2.
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The circle equations for circles with diameters of 12 units that lie on the y-axis are:
x^2 + (y – 3)^2 = 36x^2 + (y + 8)^2 = 36Which equations represent circles?We want to find the equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis, now, remember that the general equation for a circle of radius R and a center (a, b) is:
(x - a)^2 + (y - b)^2 = R^2
If we want a circle that lies on the y-axis, then a = 0, and if the diameter is 12 units, then the radius is R = 6 units.
Then the equation is something like:
x^2 + (y - b)^2 = 6^2 = 36
The two circle equations with this form are:
x^2 + (y – 3)^2 = 36x^2 + (y + 8)^2 = 36Learn more about circle equations:
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Pls help me with math
By the concept of the proportional method we determine that the height of the tower would be 48 feet.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
The model given can be interpreted by the concept of proportional method
a : b : : c : d.
Therefore,
5 : 6 : : 40 : x.
5/6 = 40/x.
5x = 240.
x = 240/5.
x = 48 feet.
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Find the length of DB.
Do not Answer with a link.
Answer:
4
Step-by-step explanation:
Just count the units across, how to get from 2 to -2 which is just simply four units back.
Answer quickly please. No links please. The length of the minute hand is 150% of the length of the hour hand.what distance will the tip of the minute hand move in 45 minutes? round to the nearest hundredth. the minute hand will move ? Answer quickly please.
Answer:
108π mm.
Step-by-step explanation:
The hour hand makes a full circle of 12 hr, in 45 min=0.75 hours it will will have made 0.75/12 of a full circle. Given that the tip of the hour hand travels along the circumference of a circle, the radius of circle will be equal to the lenth of the hand.
But:
circumference is given by:
C=2*π*radius
The distance traveled by the hand in 12 hours will be:
2**36=76π mm
The distance traveled in 45 min will be:
0.75/12 *72π=4.5π mm
in 45min, the min hand will make 45/60=3/4 of a full circle. If the min hand is 150% of the hour hand, then its length is 150/100*36=54 mm.
Thus the tip of the minute will travel along the entire circuference of a circle with a 54 mm radius, this implies that for a full circle we shall have:
2*π*54mm=108π mm.
Hence;
in 45 min, the tip of the minute hand will have traveled 108*3/4*π=81π mm
if u know lmk pls and ty
Answer:
A) The cat weights 7 kilograms when it is 4 months old.[tex]-----------[/tex]
hope it helps...
have a great day
Which statement correctly uses limits to determine a vertical asymptote of g (x) = StartFraction negative 7 (x minus 5) squared (x + 6) Over (x minus 5) (x + 5) EndFraction There is a vertical asymptote at x = 5, because Limit of g (x) as x approaches 5 minus = infinity and limit of g (x) as x approaches 5 plus = negative infinity There is a vertical asymptote at x = 5, because Limit of g (x) as x approaches 5 minus = negative infinity and limit of g (x) as x approaches 5 plus = infinity There is a vertical asymptote at x = –5, because There is a vertical asymptote at x = –5, because
Answer:
D
Step-by-step explanation:
edge i graphed it on desmos
Vertical asymptote concept used to solve this question. First, I explain the concept, and then, you use it to solve the question.
Using this, we get that the correct option is:
There is a vertical asymptote at x = –5, because limit of g(x) as x approaches -5 minus = negative infinite and limit of g(x) as x approaches -5 plus, it is positive inifnite.
Vertical asymptote:
A vertical asymptote is a value of x for which the function is not defined, that is, it is a point which is outside the domain of a function;
In a graphic, these vertical asymptotes are given by dashed vertical lines.
An example is a value of x for which the denominator of the function is 0, and the function approaches infinite for these values of x.
The fraction is:
[tex]g(x) = -\frac{7(x-5)^2(x+6)}{(x-5)(x+5)}[/tex]
Simplifying:
The term (x-5) is present both at the numerator and at the denominator, and thus, the function can be simplified as:
[tex]g(x) = -\frac{7(x-5)(x+6)}{x+5}[/tex]
Vertical asymptote:
Point in which the denominator is 0, so:
[tex]x + 5 = 0[/tex]
[tex]x = -5[/tex]
Now, we take a look at the graphic of the simplified function, given at the end of this answer.
You can see that as x approaches -5 to the left, that is -5 minus, the function goes to minus infinite, and as x approaches -5 to the right, that is, -5 plus the function goes to plus infinite, and thus, the correct answer is:
There is a vertical asymptote at x = –5, because limit of g(x) as x approaches -5 minus = negative infinite and limit of g(x) as x approaches -5 plus, it is positive inifnite.
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There are 80 oranges and apples, and 5% of them are apples. William takes out some of the oranges, so apple make up 20% of the remaining pieces of fruit. How many oranges did he take out
yesterday the temperature at noon was 21.5°F. By midnight,it had gone down by 30°F. What was the temperature at midnight
Answer:
The temperature was -8.5
Step-by-step explanation:
Subtraction
On average a bird visits 950 flowers per day for nectar how many flowers does the bird visit in an hour Round your answer to the nearest whole flower. B how many flowers does the bird visit in a year
So, the bird visits 40 flowers per hour and approximately 347,750 flowers per year.
A. On average, a bird visits 950 flowers per day. To find the number of flowers visited per hour, we divide 950 by 24 (the number of hours in a day). This gives us approximately 39.58 flowers per hour. Rounded to the nearest whole flower, the bird visits 40 flowers per hour.
B. To find the number of flowers visited in a year, we multiply the number of flowers visited per day (950) by the number of days in a year (365). This gives us approximately 347,750 flowers visited per year.
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Wilbur left school and drove toward the town hall at an average speed of 30 mph. Jack left sometime later driving in the same direction at an average speed of 75 mph. After driving for two hours Jack caught up with Wilbur. How long did Wilbur drive before Jack caught up.
Wilbur drove for 5 hours before Jack caught up with him.
How to calculate the distance?Based on the information, the distance = (Wilbur's speed) x (time) = (Jack's speed) x (time + (time Wilbur drove))
We know that Jack's speed is 75 mph, and that he caught up with Wilbur after 2 hours. We also know that the distance covered by Jack is the same as the distance covered by Wilbur.
So we can write:
distance = (Wilbur's speed) x (time) = (Jack's speed) x (2 hours)
We are given that the Wilbur's speed is 30 mph, so we can substitute that in the above equation:
distance = 30 mph x (time) = 75 mph x 2 hours
Then we can solve for time by dividing both sides of the equation by 30:
time:
= (75 mph x 2 hours) / 30 mph
= 5 hours
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PLEASE ANSWER QUICK!!!
Answer:
(0,5) and (1,0)
Step-by-step explanation:
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
5
Answer:
60
Step-by-step explanation:
Answer:
Step-by-step explanation:
orgoi2rv
Twenty nine percent of the 50,000 spectators at a Liverpool football match are wearing red t-shirts.
How many people are wearing a red t-shirt?
Answer:
Number of people wearing a red t-shirt= 14,500
Step-by-step explanation:
Giving the following information:
Number of people= 50,000
Percentage of people using red t-shirt= 29%
To calculate the number of people wearing a red t-shirt, we need to use the following formula:
Number of people wearing a red t-shirt= number of people*percentage of people wearing a red t-shirt
Number of people wearing a red t-shirt= 50,000*0.29
Number of people wearing a red t-shirt= 14,500
What is the value of f in a function?
A function is generally indicated by f.
What is function?A mathematical expression that indicates a relationship between an independent variable and a dependent variable.
In other word, a function shows a relation between a set of input values to a set of output values in where each input value is connected to only a particular output value.
What is the value of f in a function?A function is generally, expressed by letters such as f, g and h and so on.
It is said that f(x) is a function of x or g(x) and h(x) are a function of x when functions are denoted by g or h.
For an input value of an independent variable x, the output value is denoted by f(x) that is equal to a dependent variable such as y. We can write, y = f(x)
The set of x value are the domain of function, and the set of f(x) value are the ranges of a function.
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Complete question is: What is the value of f in a function?
A certain star is 5.5 times 10 to the second power light years from the Earth. One light year is about 5.9 times 10 to the twelth power miles. How far from the earth (in miles) is the star?
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Answer:
Step-by-step explanation:
3.245e+13
if m LJK=28 what is m MLK
Answer:
if LJK is 28, then by using the triangle sum theorem, JLK is 62. because the triangles are congruent,( angle+side+hypotneus/HL), JLK is congruent to JLM, so you add them together and get 62+62=124 = MLK. I'm pretty sure thats the right answer, might want to go over that.
In the decathlon event at large track meets, male athletes compete in a total of 10 events. Their combined performance in each of the events is used to determine the winner. Two of the events are the 200-meter dash and the javelin throw. For 12 athletes at a large international competition, performances in these two events are recorded and placed in a scatterplot. The value of r for this scatterplot is 0.369.
A graph titled decathlon Events has 200-meter dash time (seconds) on the x-axis, and Javelin throw distance (meters) on the y-axis. Points are grouped loosely together in a line with positive slope.
Which of the following best describes the relationship between the variables in the scatterplot?
Those with lower 200-meter times tend to have longer javelin distances. The relationship is strong.
Those with higher 200-meter times tend to have longer javelin distances. The relationship is strong.
Those with lower 200-meter times tend to have longer javelin distances. The relationship is moderate.
Those with higher 200-meter times tend to have longer javelin distances. The relationship is moderate.
answer is D
Based on the information provided, the best description of the relationship between the variables in the scatterplot is: option D, "Those with higher 200-meter times tend to have longer javelin distances. The relationship is moderate."
What is the relationship about?The scatterplot shows a positive relationship between the two variables, as indicated by the points being grouped loosely together in a line with a positive slope.
This means that as the 200-meter dash time increases, the javelin throw distance also tends to increase. The coefficient of correlation, r, also supports this relationship, as a value of 0.369 indicates a moderate positive correlation between the two variables. Though the correlation is moderate, it's important to note that this does not imply causality.
Therefore, note that, based on the description in the question, the relationship is moderate, not strong. The statement is accurate only when the correlation coefficient is between 0.3-0.7 which is considered as moderate correlation.
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Answer:
d
Step-by-step explanation:
And the first derivative of
f(n) = 15e
Answer:
[tex]\displaystyle f'(n) = 0[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
The derivative of any constant is equal to 0.
hellpp me plssss :( NO LINKS!
Answer: the perimeter of the garden is 24 and the area of the garden is 32
Step-by-step explanation:
Perimeter: 4 + 4 + 8 + 8 = 24
Area: 4 x 8 = 32
Question 8(Multiple Choice Worth 4 points) (02.01 MC) Identify the types of sampling errors that exist in the following sampling designs: The local newspaper plans to make a prediction for a senatorial election based on a survey of its readers. A radio show asks people to phone in their views on whether the United States should pay off its debt to China. A new social media website chooses to survey the first 50 members who join to determine whether members favor the appearance of the homepage.
Answer: Nonresponse, voluntary, and convenience.
Step-by-step explanation:
For the first question, it should be noted that everyone cannot respond as only the people who have strong opinions will respond. Therefore, it's a nonresponse error.
For the second question, the people will have to volunteer. Therefore, it's a voluntary bias while the third one is a convenience sample as it's an easily available sample.
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c=⟨–5,8⟩ and d=⟨7,4⟩, find –4c–4d.–4c–4d=
PLs anwser this go see attachement
Answer: 157.1
Step-by-step explanation:
It’s a geometry question and I’ll mark brainliest.
Answer:
a
Step-by-step explanation:
please and thank you help with math!!
Answer:none of these
Step-by-step explanation:
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
D
Step-by-step explanation:
For a quadratic equation ax² +bx +c= 0, the quadratic formula is as below:
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
x² -12x +7= 0
[tex]x = \frac{ - ( - 12)± \sqrt{( - 12) {}^{2} - 4(1)(7) } }{2(1)} [/tex]
[tex]x = \frac{12± \sqrt{144 - 28} }{2} [/tex]
[tex]x = \frac{12± \sqrt{116} }{2} [/tex]
[tex]x = \frac{12± \sqrt{4(29)} }{2} [/tex]
[tex]x = \frac{12±( \sqrt{4})( \sqrt{29} )}{2} [/tex]
[tex]x = \frac{12±2 \sqrt{29} }{2} [/tex]
[tex]x = 6± \sqrt{29} [/tex]
[tex]∴x = 6 + \sqrt{29} \: \: \: or \: \: \:x = 6 - \sqrt{29}[/tex]
y = -3x + 2 y = 4x - 5. *
can someone solve this for me please?
Answer:
y= -3
y = 4
Step-by-step explanation:
Find the angle measure of the shaded region
Answer:
look at the picture I sent