An arithmetic sequence is a sequence of numbers in which the difference between any two successive members of the sequence is a constant value. The general form of an arithmetic sequence is:
a, a + d, a + 2d, a + 3d, ...
where "a" is the first term of the sequence, and "d" is the common difference between successive terms.
Given the function f(n) = 2n - 1, we can see that the function outputs a sequence of integers, with a common difference of 2. So f(n) is not an arithmetic sequence.
Arithmetic sequence is a list of numbers in which each number is the sum of the previous number and a constant number.
Example: 1,3,5,7,9 is an arithmetic sequence because the constant difference is 2.
If you have any other question feel free to ask.
Find the Highest Common Factor of 32 and 14.
Answer:
2
Step-by-step explanation:
Prime Factorization of 14
Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:
14 = 21 × 71
Step-2: Prime Factorization of 32
Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:
32 = 25
Step-3: Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1, 2, 7
Step-4: Factors of 32
List of positive integer factors of 32 that divides 14 without a remainder.
1, 2, 4, 8, 16
Final Step: Greatest Common Factor Number
We found the factors and prime factorization of 14 and 32. The biggest common factor number is the GCF number.
So the greatest common factor 14 and 32
I need the answers because I really confused
Answer:
10
Step-by-step explanation:
212-198= 14 rounded down to 10
write the exponential equation that models the sequence: 15, 30, 60, 120…
Answer:
y=15(2)ˣ
Step-by-step explanation:
If each term is being multiplied by 2 starting with 15, then the exponential equation that models this sequence is y=15(2)ˣ where x is the nth term of the sequence.
Answer:
mrk me brainliest first plzz
Step-by-step explanation:
Let x represent the number of laptops. Let y represent the number of smartphones.
Sully earns $80 by selling a laptop and $60 by selling a smartphone. He wants to make a profit of at least $6,800. Write an inequality to model the amount Sully earns by selling laptops and smartphones
Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.
What is inequality?Both formulae and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,≥,≤, or.<
Here,
Let the quantity of sold laptops, x
y —- the quantity of sold smartphones
The fact that to solve this problem we use inequality help
The problem's underlying inequity is equal to
=> 80x + 60y ≥6800
Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.
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a bucket contains two red, three white and one green ball.
If three balls suddenly come off, what is the chances of getting two white balls from those balls
Answer:
a bucket contains two red, three white and one green ball.
If three balls suddenly come off, what is the chances of getting two white balls from those balls
Plzz help me and thanks
Answer:
C. Last week it rained every day in San Antonio, Texas
Step-by-step explanation:
Climate is the long-term pattern of weather and temperature. The third answer does not talk about the weather of San Antonio from a long-term perspective, instead, it only discusses a week. The climate of San Antonio should refer to the rain patterns of multiple years, not days.
y = (x + 1)(x − 1)(x − 3)
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: ᶛɲƧཡэʀ \: }[/tex]
y = (x + 1) (x - 1) (x - 3)
Use the distributive property to multiply x+1 by x-1 and combine like terms.
y = (x² - 1) (x - 3)
Use the distributive property to multiply x² - 1 by x - 3.
y = x³ - 3x² - x + 3.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
What is the slope of the line that contains the points (-3, -7/2) and (2, -4)
Answer: m = -1/10
Step-by-step explanation:
Use the slope formula to find the slope m.
m = −1/10
Jane is building a fence around her garden. For every 4 feet of fencing, the cost is 36 Complete the table below showing the length of the fence and the cost.
The Complete is showing the length of the fence and the cost.
Length of fencing 4 6 7 9 10
Cost: 36 54 63 81 90
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
Length of fencing 4 6 7 x 10
Cost: 36 y z 81 w
Now, Using proportion
4/ 36 = 6/y
4y = 36(6)
y = 54
and, 4/36 = 7/z
4z = 36 (7)
z = 63
and, 4/36 = x /81
x = 9
and, 4/36 = 10/w
360 = 4w
w= 90
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MARKING BRAINLIEST .. pls
Answer:
0.5
Step-by-step explanation:
total = 12 marbles
6/12 are red
simplify
1/2 are red
convert
0.5 probibility of picking red.
hope this helps :D
Answer:
Your answer is 50%
Step-by-step explanation:
First we have to find the total marbles. 4+2+6 = 12
After we get the total marbles we just have to divide the red marbles by the total marbles. 6/12
That comes out to be 1/2 or .5 or 50%
if you divide a number by 9 and subtract 22 from the result, the answer is 2. write an equation to find the number.
HELP ME PLEASE
Please help will mark brainliest
Answer:
544
Step-by-step explanation:
You can Section the figure off into 3 and find the area of each. The sum was cut off in the image, but the total is 544 :)
Step-by-step explanation:
First, solve the volume of the solid without the groove:
V1 = (14 cm)(8 cm)(6cm) = 672 cm^3
Now solve for the volume of the groove:
V2 = (8 cm)(8 cm)(2 cm) = 128 cm^3
The volume of the block that Goran made is
V = V1 - V2 = 544 cm^3
Find the value of each trigonometric ratio.
tan A
39
15
36
B
The value of each trigonometric ratio is given by :
sin A = 5/13 , cos A = 12/13, tan A = 5 / 12
cosec A = 13 /5 , sec A = 13/12 , cot A = 12 /5.
As given in the question,
Let us consider a triangle be ABC,
Figure is attached.
Side length is given by:
AC = 39
AB = 36
BC = 15
AC represents the longest side
( 36 )² + (15)² = (39)²
⇒AB² + BC² = AC²
By Pythagorean triplets ABC is right angled triangle.
All trigonometric ratio with respect to angle A is given by :
sin A = BC / AC
= 15/39
= 5/13
cos A = AB / AC
= 36 /39
= 12 /13
tan A = BC / AB
= 5 /12
cosec A = 1/ sin A
= 13 /5
sec A = 1/ cos A
= 13 /12
cot A = 1 / tan A
= 12 /5
Therefore , the value of all six trigonometric ratio is equal to
sin A = 5/13 , cos A = 12/13, tan A = 5 / 12
cosec A = 13 /5 , sec A = 13/12 , cot A = 12 /5.
The above question is incomplete , the complete question is :
Find the value of each trigonometric ratio tan A
Figure is attached.
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Lionel purchases 1-pound bags of each of the five seeds and nuts shown in the table. Of the following, which best approximates the average (arithmetic mean) number of calories per bag?
(1 pound = 16 ounces)
A)150
(B)250
C) 1,500
D) 2,500
The best approximate average (arithmetic mean) number of calories per bag is equal to: D) 2,500.
What is an arithmetic average?In Mathematics, an arithmetic average is sometimes referred to as arithmetic mean and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the arithmetic average for the number of calories per bag?Mathematically, the arithmetic average for the number of calories per bag can be calculated by using the following formula:
Arithmetic average = [F(x)]/n
Next, we would determine the total number of calories and then convert to ounces:
Total number of calories, F(x) = 198 + 80 + 159 + 166 + 185
Total number of calories, F(x) = 788 calories.
Note: 1 pound = 16 ounces.
Total number of calories, F(x) = 788 calories × 16 ounces
Total number of calories, F(x) = 12,608 calories.
Now, we can calculate the arithmetic average for the number of calories per bag:
Arithmetic average = [F(x)]/n
Arithmetic average = 12,608/5
Arithmetic average = 2,521.6 ≈ 2,500.
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Two boats are traveling toward a cliff that is 225 feet above sea level. When the two boats are exactly 200 feet apart, the boat closest to the cliff has an angle of elevation to the top of the cliff of 36 degree, as shown.
Answer:
[tex]x=23.82^o[/tex]
Step-by-step explanation:
[tex]Solve ~for~x, first ~ we~ need ~ to ~know~y[/tex]
[tex]tan~36=\frac{225}{y}[/tex]
[tex]y=\frac{225}{tan ~36}[/tex]
[tex]y=309.6859321[/tex]
[tex]tan(x)=\frac{225}{y+200}[/tex]
[tex]x=tan^{-1}(\frac{225}{309.6858321}[/tex]
[tex]x=23.81898048[/tex]
[tex]x=23.82^o[/tex]
------------------------
hope it helps...
have a great day!!
23.82° is derived as the value of x according to nthe diagram shown.
What is Angle of elevation?
This is referred to the angle from the horizontal upward area to an object.It is measured in degrees.
36 = 225/y
y = 225/tan 36
= 309.686.
tan(x) = 225 / y+200
x = tan -1 (225/309.686)
x = 23.82
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Distribute and then combine the like terms to simplify each expression.
5(-6 +4q) - 2q
please help
Answer:
-30+18q
Step-by-step explanation:
First, distribute the five to the terms in the parenthesis.
5x-6 and 5x4q
so -30+20q-2q
20q-2q equals 18q
so we are left with -30+18q.
Find the values of x and y in parallelogram PQRS.
PT=y, TR=4x+1, QT=2y, TS=5x+8
The values of x and y in parallelogram PQRS are x =2 and y = 9
How to determine the values of x and y in parallelogram PQRSFrom the question, we have the following parameters that can be used in our computation:
The parallelogram
On the parallelogram, we have the following readings
PT=y, TR=4x+1, QT=2y, TS=5x+8
Rewrite them as
PT= y
TR = 4x + 1
QT = 2y
TS = 5x + 8
Because the point T is the midpoint of the parallelogram, we have
PT = TR
QT = TS
Substitute the known values in the above equation, so, we have the following representation
y = 4x + 1
2y = 5x + 8
This means that
8x + 2 = 5x + 8
Evaluate the like terms
3x = 6
So, we have
x = 2
Substitute x = 2 in y = 4x + 1
y = 4 x 2 + 1
So, we have
y = 9
Hence, the values are 2 and 9
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Emily has saved $74 toward a new sound system that costs $149. She plans on saving an additional $15 each week. How many weeks will it take Emily to save enough money to buy the sound system?
Answer: It”ll take Emily five weeks to buy the sound system.
Answer:
5 weeks
Explanation:
Emily has already saved $74 and need to make 149 we know she makes $15 a week 15*5=75
75+74=149
so it would take 5 weeks for Emily to get a sound system.
Is 3x3 a polynomial?
The degree of x-x3 is 3, or 3. It is a cubic polynomial. The formula for the 33 matrix's distinctive polynomial is f() = det (A - I3).
A polynomial is what?A polynomial is a mathematical statement made up of variables (also known as indeterminates) and coefficients. It can be expressed using just the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation that contains variables, constants, and exponents and is based on the operations of addition, subtraction, multiplication, and division of numbers (No division operation by a variable).
[tex]x - x^3[/tex] has a degree of 3, or 3.
The polynomial is a cubic one.[tex]f() = det (A - I3)[/tex]is the formula for the characteristic polynomial of the 33 matrix.
The characteristic polynomial of the provided 33 matrix is [tex]f() = -3 + 3 + 2.[/tex]
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How many types of angles are there in class 7?
There are basically 6 types of angles are there which are acute, obtuse, right, straight, reflex and complete angles.
If an angle is less than 90 degrees, it is known as an acute angle. If an angle is more than 90 degrees, then it is called an obtuse angle. If an angle is exactly 90 degrees, then it is called the right angle.
If an angle is precisely 180 degrees, then it is called a straight angle. If the angle is more than 180 degrees but less than 270 degrees, it is known as a reflex angle. A full 360-degree angle is called a complete angle.
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Find the measure of MN
In the given the diagram of a circle, the measure of angle MON is 60°.
What is a circle?A circle is a two-dimensional shape created by a collection of points that are spaced uniformly or uniformly apart from a fixed point (centre) on the plane. The radius of a circle is the fixed distance between each point and the fixed point, which together make up the circle's origin or centre.
All angles add upto 360°
100 + 140 + ∠MOP = 360
∠MOP = 120°
Draw an imaginary straight line extending MO, making MOM'
∠QOM' = 180 - 140
= 40 = ∠MOQ' (vertically opposite)
Draw an imaginary straight line extending NO, making NON'
Draw an imaginary straight line extending PO, making POP'
P'OQ = 180 - 100
= 80 = ∠Q'OP (vertically opposite)
Draw an imaginary straight line extending QO, making QOQ'
P'OM = 60° = M'OP (vertically opposite)
Now, ∠N'OQ = 180 - 60 - 2(40)
= 20°
Then, ∠P'ON' = 80 - 20
= 60
And ∠MON = 40 + 20
= 60°
Hence, In the given the diagram of a circle, the measure of angle MON is 60°.
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For every 5 boys, there are 25 girls. Write this ratio in the simplest form in all three ways (ratio, decimal, fraction).
For every 150 dogs, there are 300 cats. write this ratio in simples form in all three ways.
Answer:
Step-by-step explanation:
5 : 25
In simplest form
1 : 25
In fraction form
1/25
In decimal form
0.04
150 : 300
In simplest form
1 : 2
In fraction form
1/2
In decimal form
0.5
What is the number of lines of symmetry? What is the angle of rotation?
slope of a line parallel to the line whose equation is x - 2y = -8
Answer:
Step-by-step explanation:
slope is the coefficient of x when the coeficient of y is 1.
we need change the form.
2y=x+8
y=[tex]\frac{1}{2}[/tex]x+4
so, the slope of a line parallel to the line is 1/2
Write the equation for a function g(x) that is the function f(2)= |x| translated right 3 units and translated down 2 units
Linda's rental car cost $198
How much was her total if she also paid 6 percent tax and $15 insurance per day for 3 days?
Answer:
254.88
Step-by-step explanation:
198 + 6% + 45
Given the following set of numbers, use the measures of central tendency to
identify the type of distribution. Defend your answer.
70 67 75 60 67 65
The measure of the central tendency is 67 as the data in the set are integers.
What is a central tendency?A single number that seeks to characterize a set of data by pinpointing the center position within that set of data is referred to as a measure of central tendency.
As a result, measures of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. You are probably most familiar with the mean (sometimes known as the average), but there are additional central tendency measures, including the median and the mode.
Given, A data set 70, 67, 75, 60, 67, 65.
Arranging the data set in ascending order,
60, 65, 67, 67, 70, 75.
Now, The mean of the set is (60 + 65 + 67 + 67 + 70 + 75)/6.
= 67.33.
Mode of the data set 67.
So, The central tendency of the data set is 67 as the data in the set are all integers.
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SOMEONE PWEASE HELP!
Answer:
4
Step-by-step explanation:
Base times height divided by 2 is the area. If the area is 8 you need to know what would make it 8
So
4x4/2=8
A. −1.8
B. -0.8
C. 0.8
D. 12
A researcher has collected the following sample data. The mean of the sample is 5 "3 5 12 3 2" Refer to Exhibit 1. The range is: O 1 O 2 O 10 O 12
The range of a sample data collected by a researcher is 10 . So, correct answer is option (C).
Range of a sample data is calculated by using the formula to determine the difference between the highest and lowest value in sample set of values.
R = Highest Value (H) - Lowest Value (L)
Range Formula, R = H - L
Where, R --> range
H --> the highest value
L --> the lowest value
We have, a reaseacher collected a sample data .
Sample data values are following,
3 5 12 3 2
The mean of sample data = 5
Range of sample data = highest data value - lowest data value
There is highgest data value = 12
and lowest data value = 2
Range = 12 - 2 = 10
So, the required range of sample data is 10.
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Complete question:
A researcher has collected the following sample data. The mean of the sample is 5
"3 5 12 3 2"
Refer to Exhibit 1. The range is:
A)1
B)2
C)10
D) 12