An arithmetic sequence is given below.25, 20, 15, 10, ...thWrite an explicit formula for the nan=term an8 08X
Answers
First, we have to see how is the progression in the sequence and then we can make the formula for the n term
In the formula d is the constant change in one number to the other which means d=-5 and a1=25 which is the first term of the sequence
The expression inside the blue square box is the formula for the n term of the sequence, if you want to know any number , you just have to replce n for the position pof the number that you want to know.
Related Questions
The radius of a cylinder is 6 in and the height is 9 in. What is the exact volume of the cylinder? 108π in³ 216π in³ 324π in³ I don't know.
Answers
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=9 \end{cases}\implies V=\pi (6)^2(9)\implies V=324\pi~in^3\)
Find the percent of markup on a T-shirt that has a store cost of $4.87 and a selling price of $15.95
Answers
Answer:
69.47%
Step-by-step explanation:
Calculation to determine Find the percent of markup
Using this formula
Percent of markup=New price-Old price/Old price
Let plug in the formula
Percent of markup=$15.95-$4.87/$15.95
Percent of markup=$11.08/$15.95
Percent of markup=0.6947*100
Percent of markup=69.47%
Therefore the percent of markup is 69.47%
Food bank usage in Britain has grown dramatically over the past decade. The number of users, in thousands, of the largest food bank in year t is estimated to be N(t) = 1.3e0.81t , where t is the number of years since 2006.25
(a) What does the 1.3 represent in this context? Give units.
(b) What is the continuous growth rate of users per year?
(c) What is the annual percent growth rate of users per year?
(d) Using only your answer for part (c), decide if the doubling time is more or less than 1 year.
Answers
Answer:
A) 1.3 represents the number of foodbank users in thousands in the year 2006
B) 0.81 per year
C) 124.79%
D) the doubling rate is less than a year.
Step-by-step explanation:
A) We are given N(t) = 1.3e^(0.81t) where t in thousands the number of years since 2006. N(t) is in thousands
Thus, in 2006,t = 0.
So, N(0) = 1.3e^(0.81 × 0)
N(0) = 1.3
Thus,1.3 represents the number of foodbank users in thousands in the year 2006
B) From the question, we see that the continuous growth rate is 0.81t.
This is 0.81 per year
C) The exponent of the growth rate is e^(0.81t).
Thus gives; 2.2479^(t)
This means the annual growth factor for each year is 2.2479.
Thus,annual percent growth rate is;
(2.2479 - 1) × 100% = 124.79%
D) From C above we saw that the annual percent growth rate is more than 100%. This means that it takes less than a year for the number of users to be doubled.. Thus, the doubling rate is less than a year.
find the equation of a line perpendicular to y=x-3 that contains the point (2,1)
Answers
Answer:
y = -x + 3
Step-by-step explanation:
y = x - 3 This equation has a slope of 1
A line that would be perpendicular to the above line would then need a slope of -1
If the line has a slope of -1 and passes through (2, 1) then we can plug into
y = mx + b to get the 'b' value
1 = (-1)(2) + b
1 = -2 + b
3 = b
Equation would be y = -x + 3
solve the linear equation y=3x-2
y-2=x
Answers
Answer:
{y,x} = {4,2}
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] y = 2x
// Plug this in for variable y in equation [1]
[1] (2x) - 3x = -2
[1] - x = -2
// Solve equation [1] for the variable x
[1] x = 2
// By now we know this much :
y = 2x
x = 2
// Use the x value to solve for y
y = 2(2) = 4
Answer:
X=2 and y=4
Step-by-step explanation:
Subtitle y-2 for x in y=3x-2
Y=3y-6-2
8=2y
Y=4
Subtitle 4 for y in y-2=x
X=4-2
X=2
no of tulips is 2 more than thrice the amount of tulips express in a linear equation
Answers
Answer:
x = 3x + 2Step-by-step explanation:
Let the number of tulips is x, then the equation is:
x = 3x + 2Four more than three times a number is one less than four times the number. Find
the number.
Answers
Answer:
5
Step-by-step explanation:
5x4=20
5*3+4=19
rationalise the denominator
\( 1\div 7 + 3 \sqrt{2} \)
Answers
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.
To rationalize the denominator 1/7 + 3√2,
A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.
Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.
Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).
Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).
Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!
The final answer is (1 + 21√2)/(21√2).
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.
For more questions on Denominator.
https://brainly.com/question/20712359
#SPJ8
how to find the proportion of adjustable/ fixed ratios
Answers
To find the proportion of adjustable/ fixed ratios, you will need to divide the number of adjustable items by the total number of items. For example, if you have 8 adjustable items and 10 total items, the proportion of adjustable items is 8/10, or 0.8.
To find the proportion of adjustable/fixed ratios, you need to follow these steps:
1. Identify the adjustable and fixed ratios in the question.
2. Convert the adjustable and fixed ratios into fractions.
3. Find the common denominator of the two fractions.
4. Multiply both the numerator and denominator of each fraction by the common denominator.
5. Subtract the numerator of the fixed ratio fraction from the numerator of the adjustable ratio fraction.
6. Simplify the resulting fraction if necessary.
For example, if you have an adjustable ratio of 2:3 and a fixed ratio of 1:4, you would first convert these ratios into fractions, 2/3 and 1/4. Next, you would find the common denominator, which is 12. You would then multiply both the numerator and denominator of each fraction by 12, resulting in 8/12 and 3/12. Finally, you would subtract 3 from 8 to get 5, and simplify the resulting fraction to 5/12. Therefore, the proportion of the adjustable/fixed ratios is 5/12.
Know more about proportion here:
https://brainly.com/question/870035
#SPJ11
is it possible to form a triangle with sides that each measure 3? what about 3,3 and 9?
Answers
Answer:
No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: No; 9. ... No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Answer:
Yes. An Equilateral Triangle have same angles and sides.
All sides are equal.
f(x)=x^2+8x+15/2x^2+11x+5
state the equations for the vertical and horizontal asymptotes of the graph y=f(x)
Answers
Answer:
Step-by-step explanation:
Find the area of hexagon DEFGHI.
Answers
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
There are 1,099 souvenir paperweights that need to be packed in boxes. Each box will hold 11 paperweights. How many boxes will be needed?
Answers
Answer:
1099/11=99.9
since you can't have 99 boxes, you round to 100 boxes.
you will need 100 boxes.
Which of the following tables does not repesent a function
Answers
Answer:
C
Step-by-step explanation:
It's not A because 7 is being repeated for y more than once. It's not B because 5 has been repeated more than once for y. It's not D because 7 is being repeated more than once for x. If you look at C, you can see that no numbers are being repeated for x, and no numbers are being repeated for y.
Ms. Salazar’s car averages 25 miles per gallon of gasoline. She filled the 10-gallon tank with gasoline before traveling 200 miles on a trip. Which graph BEST represents this situation?
Answers
Step-by-step explanation:
2524 ÷ 23 = 24a6u= 7
bengek hyung
The length of a rectangle is 97 meters and the width is 14 meters. Find the area. Give your answer without units.
Answers
Answer: The zone of a rectangle is the item of length and width in this way the zone will be 1358 square meters.
Step-by-step explanation:
Rectangle ?
A rectangle may be a geometrical figure in which inverse sides are equal. The point between any two successive sides will be 90 degrees. The edge of the rectangle = 2( length + width). It has 4 sides, 4 points, and 4 corners (vertices)
It is known that,
Area of rectangle = length × Breadth
Area = 97 x 14 = 1358 square meters
Hence
The range of a rectangle is the item of length and Breadth in this way the zone will be 1358 square meters.
For more about rectangles,
brainly.com/question/15019502
The area of the rectangle is 1358
GIVEN-
Length=97
breadth=14
TO FIND-
Area of rectangle
STEPS-
Area of rectangle= length×breadth
∴area of rectangle=97 x 14
=1358
The area of rectangle is 1358m
To know more about area:
https://brainly.com/question/2607596
The sine and cosine curves y = a sin (kx) and y = a cos(kx), k > 0 have amplitude and period The sine curve y = 2 sin(2x) has amplitude and period
Answers
The sine and cosine curves y = a sin(kx) and y = a cos(kx), k > 0 have amplitude a and period 2π/k. The sine curve y = 2 sin(2x) has amplitude 2 and period π.
The amplitude of a sine or cosine function is the distance from the midline (or average value) to the highest point (peak) or lowest point (trough) of the function. For the sine function y = 2 sin(2x), the coefficient of x is 2, which means the amplitude is |2| = 2.
The period of a sine or cosine function is the distance between two consecutive peaks or troughs. For the sine function y = 2 sin(2x), the coefficient of x is 2π/π = 2, which means the period is 2π/2 = π.
To know more about sine curve,
https://brainly.com/question/3827606
#SPJ11
calcula el interés simple sobre un préstamo de 5000 al 9% en 36 meses interés simple = principal X tasa interés X tiempo).
Answers
$16,200
1) Coletando los datos
Valor presente: 5,000
rate: 9%
Tiempo: 36 meses
2) Escribindo la formula y despues aplicando los datos, tienemos:
\(\begin{gathered} A=P(1+r\cdot n) \\ A=5000(1+0.09\times36) \\ A=5000(1\text{ +3.24)} \\ A=\text{ 21,200} \\ I=21,200-5000 \\ I=16200 \end{gathered}\)Mira que subtraemos de lo Valor Futuro, el Principal. A -P = i
3) Entonces el interés simple és $16,200
Any has 10 pieces of fruit. 7 are apples and the rest are oranges.
She chooses a piece of fruit at random eats it then chooses a second piece of fruit at random
Please draw this
Answers
The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.
What fraction should go into the boxes?Total number of fruits Amy has = 10
Number of Apples = 7
Number of Oranges = 3
First random pieces of fruits chosen:
Probability of choosing Apples = 6/9
Probability of choosing Oranges = 3/9
Second random pieces of fruits chosen:
Probability of choosing Apples = 6/8
= 3/4
Probability of choosing Oranges = 2/8
= 1/4
Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.
Read more on probability:
https://brainly.com/question/251701
#SPJ1
WILL GIVE BRAINLIEST!!!
Use the Rational Zeros Theorem to write a list of all potential rational zeros.
f(x)=5x^4−7x−4
A) +/-(5/4,5/2,1,5)
B) +/- (1/5,2/5,4/5,1,2,4)
C) +/- (1/4,1/5,1/2,1,2,4)
D) +/- (1,2,4,5)
Answers
A list of all potential rational zeros is ±1/5, ±2/5, ±4/5, ±1, ±2, and ±4.
The correct option is B.
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
An expression,
f(x) = 5x⁴−7x−4.
Let p be the value of the constant.
And q is the value of the leading coefficient.
p/q = -4/5
The factors of -4/5 are 1/5, 2/5, 4/5, 1, 2, and 4.
The possible roots are ±1/5, ±2/5, ±4/5, ±1, ±2, and ±4.
Therefore, the possible roots are ±1/5, ±2/5, ±4/5, ±1, ±2, and ±4.
To learn more about Polynomials;
brainly.com/question/11536910
#SPJ1
2. Your friend wants to write the equation of a quadratic function 1 5. 3.r = 1) that has zeros at 3 and 3. They want to use the binomials (3.7" – 5) and You insist that they must use the binomials 3 and (3) Who is correct? Explain.
Answers
Let's expand both options, your friend's and yours, as shown below
\(\begin{gathered} y=(3x+1)(3x-5)=9x^2-12x-5=9(x^2-\frac{4}{3}x-\frac{5}{9}) \\ \text{and} \\ y=(x+\frac{1}{3})(x-\frac{5}{3})=x^2-\frac{4}{3}-\frac{5}{9} \end{gathered}\)Then, both equations are the same besides a constant that will not affect the zeros of the functions, as shown below
\(\begin{gathered} y=(3x+1)(3x-5) \\ x=-\frac{1}{3} \\ \Rightarrow y=(-1+1)(-1-5)=0 \\ \text{and} \\ x=\frac{5}{3} \\ \Rightarrow y=(5+1)(5-5)=0 \\ \end{gathered}\)And
\(\begin{gathered} y=(x-\frac{5}{3})(x+\frac{1}{3}) \\ x=-\frac{1}{3} \\ \Rightarrow y=(-\frac{1}{3}-\frac{5}{3})\cdot0=0 \\ x=\frac{5}{3} \\ \Rightarrow y=0\cdot(\frac{6}{3})=0 \end{gathered}\)Both your friend and you are correct. The functions are the same with exception of a constant that multiplies the whole function (a scale factor); despite that, the zeros are the same for both functions
\((3x-5)(3x+1)=9(x+\frac{1}{3})(x-\frac{5}{3})\)please help me, please and thank youuu! :D
Answers
Answer:
f = - \(\frac{19}{7}\)
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition f = - 19 when m = 14
- 19 = 14k ( divide both sides by 14 )
- \(\frac{19}{14}\) = k
f = - \(\frac{19}{14}\) m ← equation of variation
When m = 2 , then
f = - \(\frac{19}{14}\) × 2 = - \(\frac{19}{7}\)
The selling price of an item is 520$. After 6 months of not selling, it is marked down by 20%. After another 6 months of not selling, it is further marked down by 60%. Find the sale price after both markdowns.
Answers
Hence, in response to the provided question, we can say that As a result, equation the item's selling price after both markdowns is 166.40$.
What is equation?An algebraic equation is a method of connecting two quotes by using the equals symbol (=) to express equality. In algebra, an explanation is a definitive expression that verifies the equivalency of two formula. For example, the identical character divides the numbers 3x + 5 and 14. A linear equation might be used to recognize the connection that existing between the texts written on separate sides of a letter. The product and application both frequently the same. 2x - 4 equals 2, for example.
Then, we may determine the item's price after the initial 20% discount.
20% of 520$ equals (20/100) * 520$ = 104$, hence the item's new price is 520$ - 104$ = 416$.
After another six months of not selling, the item gets reduced by 60%.
60% of 416$ equals (60/100) * 416$ = 249.60$, therefore the item's ultimate sale price after both markdowns is 416$ - 249.60$ = 166.40$.
As a result, the item's selling price after both markdowns is 166.40$.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Using equations, we can find that the item's selling price after both markdowns is 166.40$.
Define equations?In an algebraic equation, the equals symbol (=), which represents equality, can be used to connect two quotes. In algebra, an explanation is a declarative statement that establishes the similarity of two formulas. For example, the integers 3x + 5 and 14 are divided by the same letter.
A linear equation can be used to identify the relationship between the texts written on the various sides of a letter. Applications and products can typically be used interchangeably. In this instance, 2x – 4 = 2.
After applying the initial 20% discount, we may determine the item's price as:
20% of 520$ equals (20/100) × 520$ = 104$
Hence the item's new price is 520$ - 104$ = 416$.
After another six months of not selling, the item gets reduced by 60%.
60% of 416$ equals (60/100) × 416$ = 249.60$
Therefore, the item's ultimate sale price after both markdowns is
416$ - 249.60$ = 166.40$.
As a result, the item's selling price after both markdowns is 166.40$.
To know more about equations, visit:
https://brainly.com/question/649785
#SPJ1
The first number minus the second number equals to 26. When the first number is added to 3 times the second number, the result is 194. What are the two numbers
Answers
My work is shown in the image below!
Help me PLS! Anyone !!!!!!
Answers
trica surveys students in her computer class abot time spent on compurters by students in her svhool. will the survey results from this sample spport a vaslid inferens? explain
Answers
Trica's survey of students in her computer class about their computer usage may not support a valid inference regarding the time spent on computers by students in her entire school.
The survey results may lack validity due to several reasons. First, the sample size may be limited to only Trica's computer class, which could introduce selection bias and make it unrepresentative of the entire school population. Representativeness is crucial for generalizing the findings to the broader student body accurately.
Second, the self-reported nature of the survey introduces the potential for self-reporting bias, where students may provide inaccurate or exaggerated information about their computer usage.
This could lead to unreliable results and inaccurate inferences. Additionally, the survey design and measurement techniques might not be rigorous enough to capture a comprehensive understanding of computer usage, lacking standardization and reliable measurement tools.
To obtain valid inferences, it would be necessary to employ random sampling techniques to ensure representativeness, include students from various classes or grades, verify the accuracy of reported data through cross-referencing or observation, and utilize validated measurement instruments.
By addressing these limitations, Trica can enhance the validity of the survey results and make more robust inferences about the time spent on computers by students in her school.
Learn more about survey: brainly.com/question/25257437
#SPJ11
Name a pair of the supplementary angles
Answers
Answer:
a.CEA AND DEA
is pair of the supplementary angles
A photo is 16in long and 126cm wide.what is the approximate area of the picture in square feet?
Answers
The picture has the dimension of a rectangle and will have the area of 66.166 in square feet.
How to calculate for the areaWe have to convert the length and width to be in same unit, before calculating for the area by multiplying the length by the width, and then convert the result to be in square feet.
1 cm = 0.394 inches
126 cm = 126 × 0.394 inches
126 cm = 49.644 inches
So the picture has length 16 inches and width 49.644 inches
area of picture = 16 inches × 49.644 inches
area of picture = 794.304 square inches
1 inch = 0.0833 feet
794.304 square inches = 794.304 × 0.0833 square feet
794.304 square inches = 66.166 square feet.
In conclusion, the picture has an area of 66.166 square feet.
Learn more about area here:https://brainly.com/question/14137384
#SPJ1
HELP ASAPPPPPPPPPPPPP
Answers
Answer:
Answer: A
Step-by-step explanation:
(go to attachment to see explanation)
hope this helped :D
Using p′=0.167, q′=0.833, and n=180, what is the 95% confidence interval for the proportion of the population who prefer brand named items?
Answers
The 95% confidence interval for the proportion of the population who prefer brand named items is:
CI = (0.102, 0.232)
What is confidence interval?
A confidence interval is a statistical tool used to estimate the range of possible values in which a population parameter, such as the mean or proportion, is expected to lie with a certain level of confidence based on the observed sample data.
To find the 95% confidence interval for the population proportion, we use the formula:
CI = p′ ± z*\(\sqrt{(p'q'/n)\)
where:
CI: confidence interval
p′: sample proportion
q′: 1 - p′
z: z-score from the standard normal distribution for the desired confidence level (95% in this case)
n: sample size
Substituting the given values, we get:
CI = 0.167 ± 1.96\(\sqrt{((0.1670.833)/180)\)
Simplifying, we get:
CI = 0.167 ± 0.065
Therefore, the 95% confidence interval for the proportion of the population who prefer brand named items is:
CI = (0.102, 0.232)
This means that we can be 95% confident that the true population proportion of people who prefer brand named items falls within this range.
To learn more about confidence interval visit:
https://brainly.com/question/15712887
#SPJ4