Answers
Answer:
a
Step-by-step explanation:
the common d/ce is four but not common ratio
The type of Sequence from [tex]a_1[/tex] = 2 and [tex]a_n[/tex] = [tex]a_{n-1}[/tex] + 4 is Arithmetic and recursive.
What is Arithmetic Sequence ?In algebra, an arithmetic sequence is a set of numbers whose every two consecutive terms have the same difference.
An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k. In a geometric sequence, each term rises by dividing by or multiplying by a certain constant k.
For example in the arithmetic sequence 3, 9, 15, 21, 27, the common difference is 6.
Given:
[tex]a_1[/tex] = 2
[tex]a_n[/tex] = [tex]a_{n-1}[/tex] + 4
We know that the Arithmetic Sequence is of two forms
Explicit Form : [tex]a_n[/tex] = a+ (n-1)d
and, Recursive form: [tex]a_n[/tex] = [tex]a_{n+1}[/tex] + d
Now, we have [tex]a_n[/tex] = [tex]a_{n-1}[/tex] + 4 which is in the form of Recursive.
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Related Questions
A plane is at cruising altitude of 10,200 feet. If the angle of depression to the run way is 18 degrees, what is the distance, to the nearest foot, from the plane to the run way
Answers
Answer: [tex]33,007.9\ ft[/tex]
Step-by-step explanation:
Given
The plane is cruising at an altitude of [tex]h=10,200\ ft[/tex]
The angle of depression is [tex]\theta=18^{\circ}[/tex]
Suppose the distance of the plane to the runway is x
from figure
[tex]\Rightarrow \sin 18^{\circ}=\dfrac{h}{x}\\\\\Rightarrow \sin 18^{\circ}=\dfrac{10,200}{x}\\\\\Rightarrow x=33,007.9\ ft[/tex]
La montaña más alta del mundo es Everest cuya altura es de 8.848m y la altura de la segunda montaña más alta es de 2hm 3dam y 7m menos ¿Cuantos metros de altura tiene la segunda montaña más alta del mundo
Answers
Answer:
La segunda montaña más alta del mundo tiene 8611 metros.
Step-by-step explanation:
La montaña más alta del mundo es Everest cuya altura es de 8.848m.
La altura de la segunda montaña más alta es de 2hm 3dam y 7m menos. Para calcular la altura que tiene la segunda montaña más alta del mundo, debes realizar primero un cambio de unidades sabiendo que
1 hm= 100 m1 dam= 10 mEntonces podes aplicar las siguientes reglas de tres simple:
Si 1 hm equivale a 100 m, 2 hm equivale a ¿Cuántos metros?
[tex]metros=\frac{2 hm*100 m}{1 hm}[/tex]
metros= 200
Si 1 dam equivale a 10 m, 3 dam equivale a ¿Cuántos metros?
[tex]metros=\frac{3 dam*10 m}{1 dam}[/tex]
metros= 30
Entonces, la altura de la segunda montaña más alta es de 200 m+30 m+ 7 m menos que el Everest. Esto es, 237 metros menos que la montaña más alta del mundo. Entonces:
8848 metros - 237 metros= 8611 metros
La segunda montaña más alta del mundo tiene 8611 metros.
Your aunt has baked 80 cookies, and she gave you 28 to take home with you. What percent of the cookies did she give to you? What percent of the cookies did she keep?
Answers
*escribir todos los números que cumplen la siguientes condiciones* a) su modulo es cinco b) es positivo y su módulo es menor que cuatro C) es negativo y su módulo es menor que seis D) su módulo es menor que siente y mayor que tres
Answers
What is the scale factor from AABC to ADEF?
Answers
Answer:
C. 1/12
Step-by-step explanation:
The scale can be calculated by comparing side lenghts
AC is similar to FD and AB is similar to FE and BC is similar to ED
AB = 2 and FE = 24 so AB/FE is = 2/24 that's simplified is 1/12
A pair of jeans regularly sells for $24.00. They are on sale for 25% off. What is the sale price of the jeans.
Answers
Answer:
24 x 25/100 = 6
of means multiplication so you are multiplying the percent to the regular price. Always consider cent as a hundred and a percent out of 100 in fractions.
Answer:
18 dollars
Step-by-step explanation:
half of 24 is 12 and half of that is 6 so 24-6=18 :)
Jeremy is participating in a school fundraiser selling
books and magazines. He sells two fewer magazines
than one-half the number of books he sells. He sells a
total of 16 books and magazines in all. Solve a system
of equations graphically to find the number of books
Jeremy sold.
A) sold 12 books
B) sold 4 books
C) sold 2 books
D) sold 14 books
Answers
Answer:
A
Step-by-step explanation:
12/2 = 6 , 6-2=4 . 12+4 =16
The Wheelers’ bill at a restaurant is $63.00. How much total money is Mr. Wheelers' lunch if he plans to tip 15%?
asap besties
Answers
we know that
when you want to figure out a tip, you take your total bill and multiply it by the percentage you would like to tip them
so
15%=15/100------> 0.15
$63*0.15=$9.45
the answer is
$9.45
Find the value of x.
Answers
9514 1404 393
Answer:
x = 20
Step-by-step explanation:
The external angle at V is half the difference of the subtended arcs:
(65° -25°)/2 = x° = 40°/2
x = 20
LOOKS EASY !! NO FILES/LINKS THX
Answers
Answer:
16
Step-by-step explanation:
Comment if you want explanation
Answer: C. 16
Step-by-step explanation: multiply 12 and 16 to get 192. then subtract 192 to 6 to get 186.
-2 (7– 5x – 3) = -2(7 + -5x x +
-14 +
10 х +
=
-14 +
10 х
+
10 х
Answers
Answer:
Step-by-step explanation:
make the question clearer homie urs makes no sense
What is the measure of each angle if x = 13?
A. 42°, 38°
B. 527, 26°
C 429, 269
D. 527, 38°
The measures of two angles are 4x° and (2x + 12) °
Answers
hope that helps!! pls mark brainliest ☺️
The density of an object is equal to the quotient of its mass, and volume. An object has a density of 10g per liter and a volume of 40 liters. What is its mass in grams.
Answers
Answer:
400 grams
Step-by-step explanation:
If the equation is density = mass / volume, fill it out to find mass
10 = x / 40
400 = x
x = 400 g
What is the value of x in this equation?
8x + 40 = 180
Answers
Answer:
17.5
Step-by-step explanation:
180 = 40+ 8x
140 = 8x
17.5 = x
Answer:
17.5 is the correct answer to the question
Step-by-step explanation:
8x+40=180
8x=180-40
8x=140
X=140/8
X=17.5
Solve the system of equations. 2y-y=5 and 3x+2y=4
Answers
Answer:
Step-by-step explanation:
Answer:
y=5 x=-2
Step-by-step explanation:
How many terms are in 3x + 2y - 5?
Answers
Answer:
3
Step-by-step explanation:
3x=1 term
+2y= 2 term
-5= 3 term
Answer:
there are 3 terms in this equation
Step-by-step explanation:
3x --- this is the 1st term
2y --- this is the 2nd term
5 --- this is the 3rd term
(brainliest plz)
Solve ∣3x−2∣+4=0. Write your smaller answer first.
Answers
Answer:
wrong
Step-by-step explanation:
Which set of ordered pairs is included in this relation?
A {(-5, 4), (-3, 2), (2, -1), (3, 0)}
B {(-4, 1), (-2, -5), (1, -2), (5, 2)}
C {(-3, -2), (0, 3), (1, -2), (4, 1)]
D {(-2,-5), (-1, 4), (2, -1), (3, 0)}
Answers
the graph shows the function y=3x-1. What are the cordinates of intercepts
Answers
Answer:
[tex]y \: intercept : when \: x = 0 \\ y = (3 \times 0) - 1 = - 1 \\ = > (0, - 1) \\ x \: intercept : when \: y = 0 \\ 0 = 3x - 1 \\ x = \frac{1}{3} \\ = > ( \frac{1}{3} ,0) \\ intercepts : (0, - 1) \: and \: ( \frac{1}{3} ,0)[/tex]
I need help with this asap
Answers
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Find the measure of angle N
Help
Answers
Answer:
direct answer 20
Step-by-step explanation:
125
21
Find the value of the missing angle
Answers
125+21= 146
Answer:
146°.................plz mark me brainliest
Any ideas I don’t get it
Answers
Answer:
60 cm
Step-by-step explanation:
3*4*5= 60
Answer:
Your awnser is 115!
Step-by-step explanation:
You get 115 calculating the height length and width
An amusement park charges an entrance fee of $20 and the rides cost $4 each. Suppose you write a function for the total cost for entering the park and riding a. Number of the rides. What is the domain of the function based on the given context?
Answers
Answer:
With the information provided, you can say that the total cost is equal to the entrance fee plus the price per ride for the number of rides, which would be:
C(x)=20+4x,where:
x is the number of rides
The domain of the function refers to all the inputs that the function can have and in this case, the domain consists of all real numbers greater than or equal to zero since x refers to the number of rides and it can't have a negative number.
find x to the nearest 10th help pls
Answers
Answer:
5.9
Step-by-step explanation:
The function N(t) = 100e^−0.023t models the number of grams in a sample of cesium-137 that remain after t years. On which interval is the sample's average rate of decay the fastest?
Answers
Options:
A. [1,10] B. [10,20] C. [15,25] D. [1,30]
Answer:
A. [1,10]
Step-by-step explanation:
Given
[tex]N(t) = 100e^{-0.023t}[/tex]
Required
Interval with the fastest rate of decay
The rate of change over [a,b] is calculated as:
[tex]Rate = \frac{N(b) - N(a)}{b - a}[/tex]
So, we have:
A. [1,10]
[tex]Rate = \frac{N(10)-N(1)}{10 - 1}[/tex]
[tex]Rate = \frac{N(10)-N(1)}{9}[/tex]
Calculate N(10) and N(1)
[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]
[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]
So:
[tex]Rate = \frac{79.45-97.73}{9} = \frac{-18.28}{9} = -2.03[/tex]
B. [10,20]
[tex]Rate = \frac{N(20)-N(10)}{20 - 10}[/tex]
[tex]Rate = \frac{N(20)-N(10)}{10}[/tex]
Calculate N(20) and N(10)
[tex]N(20) = 100e^{-0.023*20} = 100e^{-0.46} = 63.13[/tex]
[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]
So:
[tex]Rate = \frac{63.13 - 79.45}{10} = \frac{-16.32}{10} = -1.632[/tex]
C. [15,25]
[tex]Rate = \frac{N(25)-N(15)}{25 - 15}[/tex]
[tex]Rate = \frac{N(25)-N(15)}{20}[/tex]
Calculate N(25) and N(15)
[tex]N(25) = 100e^{-0.023*25} = 100e^{-0.575} = 56.27[/tex]
[tex]N(15) = 100e^{-0.023*15} = 100e^{-0.345} = 70.82[/tex]
So:
[tex]Rate = \frac{56.27 - 70.82}{10} = \frac{-14.55}{10} = -1.455[/tex]
D. [1,30]
[tex]Rate = \frac{N(30)-N(1)}{30 - 1}[/tex]
[tex]Rate = \frac{N(30)-N(1)}{29}[/tex]
Calculate N(30) and N(1)
[tex]N(30) = 100e^{-0.023*30} = 100e^{-0.69} = 50.16[/tex]
[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]
So:
[tex]Rate = \frac{50.16 - 97.73}{29} = \frac{-47.57}{29} = -1.64[/tex]
By comparing the values of the calculated rates,
-2.03 is the smallest, in other words; the fastest rate
Hence, the interval [1,10] has the fastest rate of decay
The required average rate of change is the fastest on [tex][1,10][/tex].
The average rate of change :The formula for the average rate of change on the interval [tex][a,b][/tex] is,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{b-a}[/tex]
Now, applying the given function into the above function is,
Now, [tex]a=1,b=10[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{10-1} =-2.03[/tex]
Now, [tex]a=10,b=20[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{20-10} =-1.6325[/tex]
Now, [tex]a=15,b=25[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{25-15} =-1.455[/tex]
Now, [tex]a=1,b=30[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{30-1} =-1.64[/tex]
So the average rate of change is fastest on [tex][1,10][/tex]
Learn more about the topic of the average rate of change:
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The equation of a circle is (x−2)2+(y−12)2=64 . What is the circle's center? Enter your answer by filling in the boxes.
Answers
Answer:
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
i also provided with a chart i dont know if it will help
A bird is 50 feet above sea level, a fish is swimming 23 feet below sea level. What's the distance between the bird and the fish
Answers
Answer:
73 feet
Step-by-step explanation:
50 + 23 = 73 feet
How do you solve:
g(x) = x - 2
( I think the answer is 2 but how?!)
Answers
Answer:
x-2 =0
x=2
Step-by-step explanation:
we take -2 to the anther side it becomes 2
Answer:
-2
Step-by-step explanation:
A function is a rule for working out the values y for the given values x
For example, h = 3x and y = x^2 are functions. The notation g(x) is read as g of x. g is the function. g(x) = 3x means the function of x is 3x
So, when solving to find the value of x, you must substitute x for any given value.
For example, f(x) = 10/x. Work out f(5), you must substitute the 5 into the denominatior of the fraction 10/x . This becomes 10/5, which equals to 2.
But for your question, to find the value of x, substitute x with 0
You end up with -2
Hope this helps
BtW. the above statements are just notes. i thought they might help.
Look at the graph shown below the blue line represents an _______ of the graph
Answers
Given:
The graph of a function and a blue line.
To find:
The correct name for the blue line.
Solution:
Domain: It is the set of inputs. These are the x-values for which the function is defined.
Range: It is the set of outputs. These are the y-values for the function.
Asymptote: The function approaches to a line as x approaches to -∞ or ∞ but not intersect the line, then the line is known as asymptote.
y-intercept: It is the intersection point of the function and the y-axis.
From the given graph it is clear that the function approaches to the blue line as x approaches to -∞ but not intersect the blue line.
So, the blue line is an asymptote of the function.
Look at the graph shown below the blue line represents an asymptote of the graph.