Answers
Answer:
18-3n
Step-by-step explanation:
The nth term of this number sequence is,
⇒ a(n) = 15 - 3 (n - 1)
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
15, 12, 9, 6..
Now, We can find the nth term as;
First term (a) = 15
Common difference (d) = 12 - 15 = - 3
We know that;
The nth term of the arithmetic sequence is,
⇒ a(n) = a + (n - 1) d
Hence, We get;
The nth term of this number sequence is,
⇒ a(n) = a + (n - 1) d
⇒ a(n) = 15 + (n - 1) (- 3)
⇒ a(n) = 15 - 3 (n - 1)
Thus, The nth term of this number sequence is,
⇒ a(n) = 15 - 3 (n - 1)
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Related Questions
The table below represents a linear function. Identify the rate of change of the function.
(0,4) (4,-3) (8,-10) (12,-17)
Answers
Step-by-step explanation:
the rate of change is the slope of the line y/x. it is always the factor of x in the equation.
it indicates how many units y changes, when x changes a certain amount of units when going from one point to another.
we only need to look at 2 points.
to go from (0, 4) to (4, -3)
x changes by +4 (from 0 to 4),
y changes by -7 (from 4 to -3).
so the rate of change is -7/3
independent practice write linear equations lesson 6
Answers
Answer:
1)y=2x+7
2) unsure what the question is due to blur
3)y=3/4x-2
4)y=-2x
Answer:
Step-by-step explanation:
1) (1,9) ; slope = 2
Point slope form:
y - y₁ = m(x - x₁)
y - 9 = 2(x - 1)
Slope intercept form:
y - 9 = 2x - 2
y = 2x - 2 + 9
y = 2x + 7
3) (-4 , -5) ; slope = 3/5
Point slope form:
y - y₁ = m(x - x₁)
[tex]y - [-5] = \dfrac{3}{4}(x - [-4])\\\\\\y + 5 = \dfrac{3}{4}(x + 4)[/tex]
Slope intercept form:
[tex]y + 5 = \dfrac{3}{4}x + 4*\dfrac{3}{4}\\\\y + 5 =\dfrac{3}{4}x + 3\\\\y = \dfrac{3}{4}x +3 -5 \\\\\\y = \dfrac{3}{4}x - 2[/tex]
-2z+3-z=□-4z+2
please give me the answer
Answers
Step-by-step explanation:
[tex]\displaystyle \rm -2z+3-z=-4z+2 \\\\ -3z+3=-4z+2 \\\\ 4z-3z=-3+2 \\\\ \underline{z=-1 \ \ \ \ } \\\\[/tex]
[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]
Given to solve: -2z+3-z = -4z+2
⇛ -3z + 3 = -4z + 2
⇛ -3z + 4z = 2 - 3
⇛ z = -1
Required value of z is -1. The steps we followed are: We shifted z to a single side and other numbers to other side. Then we equated to get the result.
The students in Mrs. Brown's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
10, 14, 7, 7, 6, 12, 6
Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth.
mean:
median:
Answers
Answer:
it takes me 14 minutes to go to class
(Please Help) (50 Points) Write the equation for the transformations of the graph of y = x^2
Use the form: y = a (x-h)^2 +k
Translated 2 units left and 7 units down.
Answers
A is the scale or vertical stretch
H is what makes it move right or left.
K is what makes it move up or down.
a = 1
h = -2
k = -7
y = (1) (x-(-2))² + (-7)
y= (x + 2)² -7
(Also, you will learn b in the equation. The equation would be a(b(x-h))² + k. B would be about horizontal compression.)
You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is over speeding.
In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast - moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road.
Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x² + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain. The result of your observation will be presented to the students in your section and will be graded by your teacher.
Answers
Step-by-step explanation:
3(100)2 + 17(100) - 203(10000) + 1700 - 20
30000 + 1700 - 20
31680
a reasonable estimate for 621 times 29 is
Answers
Answer:
18,009
Step-by-step explanation:
18000 would be a reasonable estimate
Need help with number 4 only
Answers
Answer: The filled out chart is shown below.
===========================================================
Explanation:
For each row, we divide the number of locations over the population count. Treat the population values in millions. Something like 35.2 million means 35,200,000 which is the same as writing 35.2*10^6 when using scientific notation. I prefer to stick to scientific notation.
In the first row, they computed 1460/(35.2*10^6) = 0.0000415 = 4.15*10^(-5); the last entry of 4.15 for this row represents having 4.15 stores for 100,000 people. In other words, we chop off the 10^(-5) portion in 4.15*10^(-5). This is because the 10^(-5) portion represents "1 out of 100,000".
The other remaining rows are handled the same way. I'll show the steps for the second row
per capita as a decimal = 6530/(325.7*10^6) = 0.00002per capita as sci notation = 2 * 10^(-5)Starbucks per 100,000 = 2Like the previous row, each value is approximate.
Check out the table below. The stuff in gray represents the new entries that were previously blank.
Use the graph below to fill in the blank with the correct number:
F(0)=
Answers
Answer:
f(0) = 1.
Step-by-step explanation:
f(0) means the value of f when x = 0.
From the graph this is 1.
Write an equation for the graph shown in the form y=ax+b.
Answers
Answer:
y=0.2x+1
Step-by-step explanation:
2=5a+b
1.2=1a+b
0=-5a+b
we get that a=0.2, b=1
The required equation will be y = -0.5x + 27.5 passes through the points (-5, 0) and (5, 2).
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
According to the given graph,
We can see two points are (-5, 0) and (5, 2)
The linear equation will be: y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Here
x₁ = -5, y₁ = 0
x₂ = 5, y₂ = 2
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]
Substitute values in the equation, we get
⇒ y - 0 = (2 - 0)/(8-4)(x-(-5))
⇒ y - 30 = (2)/(-4)(x + 5)
⇒ y - 30 = -1/2(x + 5)
⇒ y = (-1/2)x - 5/2 + 30
⇒ y = -0.5x + 27.5
Thus, the required equation will be y = -0.5x + 27.5 passes through the points (-5, 0) and (5, 2).
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(-9,6) and (-3,2) help pls
Answers
(-9,6) and (-3,2) help pls
Answer : -12.8
Help please I really need it
Answers
Answer:
d
Step-by-step explanation:
do 6 times 6
Determine if the leading coefficient of the following function is positive or negative and whether the function has a minimum or maximum vertex point.
Answers
Answer:
The leading coefficient of the function shown is negative and the function shown has a maximum vertex point.
Step-by-step explanation:
The leading coefficient is the term with the highest degree in a polynomial.
For example in 4x² + 3x + 1 the leading coefficient would be 4x² as 4x² is the term with the highest degree.
The leading coefficient tells us whether the equation, when graphed, will rise or fall.
If the leading coefficient is negative then the equation will fall when graphed, in contrast if the leading coefficient is positive the equation will rise when graphed.
Looking at the graph, it appears that the equation is falling, meaning that the leading coefficient must be negative.
If the equation falls then it has a maximum point, if it rises then it has a minimum point.
Because the equation shown falls it will have a maximum point.
PLEASE HELP ASAP!!!!!
Answers
Answer:
x = 7
Step-by-step explanation:
The sum of exterior angles in a polygon is 360°.
( 11x - 5 )° + ( 4x + 29 )° + ( 6x + 13 )° + ( 9x - 15 )° + 67° + 61° = 360°
30x + 22 + 128 = 360
30x = 210
x = 7
How many video games were sold in the year 2001
Answers
Answer:
265
Step-by-step explanation:
you only need to do is simplify the expression.
A larger kind of bacteria is about 0.00039 in. long. Write this length using
scientific notation
Answers
Answer:
3.9X10^-4
Step-by-step explanation:
The value is increasing so your exponent increases
GENERALIZATION:
1.) What is the sign of the product if two numbers is multiplied with like signs?
_______________________________
_______________________________
2.) What is the sign of the product if two numbers are multiplied with unlike signs?
_______________________________
_______________________________
Answers
Step-by-step explanation:
Complete detail of explanation is given.Please help with freshmen math
Answers
Answer:
7375
24
Step-by-step explanation:
c=5500+125(15)
c=7375
8500=5500+125n
Write the equation of the arithmetic sequence “24, 34, 44, 54...” and then Find the 100th term.
show your work.
Answers
Answer:
1014
Step-by-step explanation:
Remember this formula to find certain terms in arithmetic sequences:
[tex]t_{n} =t_{1} +(n-1)d[/tex]
n = term number
[tex]t_{1}[/tex] = term #1
d = common difference
Sequence = 24, 34, 44, 54...
We are looking for term #100
So we do
[tex]t_{100} = 24 + (100-1)10\\t_{100} = 24 + 1000 - 10\\t_{100} = 24 + 990\\t_{100} = 1014[/tex]
PLS HELPPP
FIND X
I will mark braniliest
Answers
Answer:
x = 11
Step-by-step explanation:
∠ EAB = ∠ AED = 4x ( alternate angles )
∠ AEB and ∠ GEB are adjacent angles on a straight line and sum to 180° , so
∠ AEB + 125° = 180° ( subtract 125° from both sides )
∠ AEB = 55°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBC is an exterior angle of the triangle , then
∠ EBC = ∠ AEB + ∠EAB , that is
9x = 55 + 4x ( subtract 4x from both sides )
5x = 55 ( divide both sides by 5 )
x = 11
Solve by drawing an area model and then use the standard algorithm: 432 x 620
Answers
trust me bro
Charise's expenses for the month of July are outlined below.
Car insurance: $120.54
Cell phone bill: $55.99
Groceries: $65.00
Her monthly income is $1,050.00. What percentage of her income are expenses?
Answers
Enter the greatest common factor of 6 and 4
Answers
Answer: 2
Step-by-step explanation:
Bill’s Bait and Tackle is selling minows and worms. The minows are $5 per bag and the worms are $7 per bag. Bill sells 220 total bags and made $1250 total. How many bags of minnows and worms did he sell?
Answers
In how many distinct ways can the digits in the number 7,511,111 be arranged?
Answers
The number of distinct ways in which the digits of the number 7,511,111 can be arranged is of:
42.
How to obtain the number of arrangements?The total number of arrangements of n elements is given by the factorial of n, as follows:
A(n) = n!
When a few of the elements repeat, the number of arrangements with repetition is given by the equation presented as follows, also involving factorials.
[tex]A_n^{n_1, n_2, \cdots n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}[/tex]
In which [tex]n_1, n_2, \cdots n_n[/tex] is the number of times that each element repeats.
For the number 7,511,111, we have that:
There are seven digits.The digit one repeats five times.Hence the number of distinct arrangements of the number 7,511,111 is given as follows:
7!/5! = 7 x 6 = 42 distinct arrangements.
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HELPP YALL! I WILL MARK BRAINIEST!! LOOK AT THE PICTURE!!
Answers
Answer:
Slope of the parrelel line: -2/3x
Slope of the perpendicular line: 3/2x
Step-by-step explanation:
Lets first put this into slope intercept form:
y = mx + b
9y = -6x - 1
y = -2/3x = 1/9
So our slope is -2/3x
If we have a line parrelel to this, it means it has the exact same slope, but a different b value.
So the slope of this parellel line would also be -2/3x
Next we need to find the slope of the perpendicular line.
This is the exact opposite of our slope.
To find this, lets first understand our slope.
Our slope is the change in y over the change in x:
Δy/Δx
A perpendicular line is going to be the flipped, and negative of this.
You can think of a perpendicular line being:
-Δx/Δy
Since our slope is -2/3x
Our perpendicular line would be 3/2x
So our answer for the second question is 3/2x
Useful things to remember:
Slope of a line: Δy/ΔxSlope of a parrelel line: Δy/ΔxSlope of a perpendicular line: -Δx/ΔyHope this helps!
Proportions
Rectangular Prism
I'm decreasing the rectangular prism
H= 10
W=13.7
L: 16.6
scale: 1/4
ratios: 2:3
Answers
W=137/40
L=83/20
Hope this helps
The highest temperature ever recorded on Earth was 136F in Libya. The lowest temperature was -129F in Antarctica. What is the difference of the highest and lowest temperatures on Earth?
A. 7F
B. 107F
C. 165F
D. 265F
Answers
Answer:
it's D. 265F
Step-by-step explanation:
subtract 136 by -129 and you get 265
Find the value of x that makes lines u and y parallel.
Answers
Answer:
x = 7
Step-by-step explanation:
If u // v, then
19x - 3 = 130 {Corresponding angles are congruent}
19x = 130 + 3
19x = 133
x = 133/19
x = 7
The size of an insect population doubles every week. If there are 25 insects initially present, how many insects will there be in eight weeks?
Answers
Answer:
tence there will be 6,00 insects abter 8 weeks.
Step-by-step explanation:
