Answers
Answer:
An arithmetic sequence has a constant difference between each term.
For example: 2,4,6,8,10,12,…
We can see clearly that all the terms differ by +2.
We call this the common difference, d.
A geometric sequence has a constant ratio (multiplier) between each term.
An example is: 2,4,8,16,32,…
So to find the next term in the sequence we would multiply the previous term by 2.
This is called the common ratio, r.
These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.
We can create a decreasing arithmetic sequence by choosing a negative common difference.
Similarly, a decreasing geometric sequence would have a common ratio of less than 1.
Step-by-step explanation:
Related Questions
Find an equation of the circle that has center (-1,6) and passes through (-6,1)
Answers
Answer:
(x + 1)² + (y - 6)² = 50
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)
r = [tex]\sqrt{(-6+1)^2+(1-6)^2}[/tex]
= [tex]\sqrt{(-5)^2+(-5)^2}[/tex]
= [tex]\sqrt{25+25}[/tex]
= [tex]\sqrt{50}[/tex]
(h, k ) = (- 1, 6 ), then
(x - (- 1))² + (y - 6)² = ([tex]\sqrt{50}[/tex] )² , that is
(x + 1)² + (y - 6)² = 50 ← equation of circle
Mrs. Coughlin bought 2.25 pounds of turkey at $4.96 per pound and 0.75 pound of provolone cheese at $5.20 per pound. If Mrs. Coughlin gave the cashier $20, how much change will she receive?
Answers
2.25x4.96=$11.16
.75x5.20=$3.90
11.16+3.90=15.06
20-15.06=4.94
=====================================================
Work Shown:
She paid 2.25*4.96 = 11.16 for the turkey
She paid 0.75*5.20 = 3.90 for the cheese
In total, the two amounts add to 11.16+3.90 = 15.06
The amount of change she'll get is 20 - 15.06 = 4.94 dollars
To calculate change quickly in your head, notice how the jump from 6 cents to 100 cents is 100-6 = 94 cents. So that moves us from $15.06 to $16, and the rest needed is $4. So that's how we get the overall change to be $4.94.
6 to the power 4 simplified
Answers
Answer:
1296
Step-by-step explanation:
6x6x6x6
6^4
Answer:
6×6×6×6
Step-by-step explanation:
I hope this helps
Convert 21.3 feet per minute to yards per minute.
Answers
Answer:
7.1 yard per min
Step-by-step explanation:
20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an accident, police can use the formula v=25L to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
Answers
The correct format of the question is
After an accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
Answer:
48.6mi/h, Yes the car was speeding.
Step-by-step explanation:
The speed of the car is given by [tex]v=2\sqrt{5L }[/tex]
Skid length (L) = 118ft
V= [tex]2\sqrt{5*118}[/tex]
= 2 [tex]\sqrt{590}[/tex]
= 2*24.3
V = 48.6mi/h
Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.
Determine the constant of proportionality for the graph.
PLEASE HELP ME!!!!
Answers
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
On your recent question- you stated that when the x value was 10, the y value was 2. The graph started at the origin. To find the constant of proportionality, use the equation [tex]\frac{rise}{run}[/tex]. In this case, the "run" was 10, since it went +10 from 0. The "rise" was 2, since it went +2 from 0.
[tex]\frac{2}{10} = \frac{1}{5}[/tex] simplified.
Evaluate p2 - r2 for p = 10, r = -4 and t = 5.
Answers
Answer:
84
Step-by-step explanation:
p^2-r^2= 10^2-(-4)^2
100-16=84
The point plotted on the number line is What is the approximate value of x? 04 O 9 O 17 O 20
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \sqrt{17} ≈4.1[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is Option Three .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
C
Step-by-step explanation:
PLEASE THESE 2 HELPPPPPPPPPPPP
Answers
Answer:
c and g
Step-by-step explanation:
Can someone help plz? Jack and Jessica earned the same amount last week. Jack earned $18 per hour and had $41 taken from his check for taxes LaTeX: (18x-41)( 18 x − 41 ). Jessica earned $15 per hour and had $17 deducted from her pay. How many hours did each work in order to get paid the same amount?
Write the equation
Solve for the number of hours
Answers
Answer:
the answer is 8
Step-by-step explanation: so first what you want to do is you want to set up the equation 18x-41. then you want to do 15x because of the 15 per hour. then you minus 17. so your equation is 18x-41=15x-17 then the answer to that is 8 hours
If f(x) = 5x - 12, find f(x) when x= - 12
Plz answer
Answers
Answer:
-72
Step-by-step explanation:
first replace x with -12 so 5(-12)-12
then simplify which makes it -60-12
finally solve that which gives you -72
hope this helps :)
What is the value of when x=15
Answers
Answer:
Value of what?
Step-by-step explanation:
Put your question DB and I'll answer!
Answer:
x = 15
Step-by-step explanation:
x = 15 means that if you have 1 + x and plug in the 15 for x, 1 + 15 you will get 16.
Note: I'm not quite sure what the question is on this one, but I hope I could help.
10
44:25
The monthly mean salaries and standard deviations of four college students are given below.
Standard Deviation
12.53
Student
Clarissa
Abi
Kaila
Shenika
Mean
$345
$598
$812
$208
8.99
15.29
7.67
Which statement must be true?
O The monthly salary of Shenika is less spread out than the monthly salary of Clarissa,
O The monthly salary of Kaila is less spread out than the monthly salary of Abi.
O The monthly salary of Abi is less spread out than the monthly salary of Shenika.
O The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
Save and Exit
Next
Submit
Mark this and return
Answers
Answer: The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Step-by-step explanation:
Standard deviation measures the spread around the mean of the different variables.
Shenika's monthly salary has a standard deviation of 7.67 while Clarissa has a standard deviation of 12.53. This means that Shenika's monthly salary is less spread out than the monthly salary of Clarissa.
can anyone help with math thanks
Answers
Answer:
Step-by-step explanation:
50 - 5 - 18 = 27
27 ÷ 3 = 9
x = 9
Hey, can someone help me with my math homework?
Answers
if I burned 225 calories in 45 minutes how much will I burn in one minute
Answers
Answer:
5 calories per minute
Step-by-step explanation:
225÷45=5
Identify the missing sides.
45°
20
:: 10
:: 20
1/2
:: 202
10/3
:: 20/3
Answers
Answer:
see explanation
Step-by-step explanation:
Use the sine ratio in the right triangle to find the hypotenuse h, and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{20}{h}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
h = 20[tex]\sqrt{2}[/tex]
-----------------------------------------------------------------------------
Use the tangent ratio to find the horizontal leg x and tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{x}[/tex] = 1 ( multiply both sides by x )
x = 20
Determine the number of solutions to each system of equations.
Please put all of the equations in either One Solution, No Solution, or Infinitely Many Solution boxes
DUE TONIGHT
Answers
Answer:
One Solution:
y=0.5x-2 ; y=-0.5x+4y=2x+1 ; y=-4x+1No Solution:
y=0.5x+1 ; y=0.5x+5y=-x-3 ; y=-x+3Infinity many solutions:
y=-x-2 ; y=-x-2y=3x+2.5 ; y=3x+2.5Step-by-step explanation:
We will see the system of equations one by one.
First system of Equation:
[tex]y = 0.5x-2\\y=-0.5x+4[/tex]
It can clearly be seen that the two lines formed by the given equations are in opposite direction and they will have one intersection point so only one solution
Second System of Equation:
[tex]y=0.5x+5\\y=0.5x+1[/tex]
This system also has no solution as the equations represent parallel lines and if we try to solve them we will get the solution in the form 0 = constant.
Third System of Equations:
[tex]y =2x+1\\y = -4x+1[/tex]
The given equations will have a unique solution because the lines have different slopes or when graphed, they will have an intersection point.
Fourth System of Equations:
[tex]y=3x+2.5\\y=3x+2.5[/tex]
The lines formed by these lines will overlap each other so there will be infinity many solutions.
Fifth System of Equations:
[tex]y=-x-3\\y=-x+3[/tex]
These equations represent parallel lines so there will be no solution.
Sixth System of Solution:
[tex]y=-x-2\\y=-x-2\\[/tex]
The system will have infinite number of solutions
Hence,
One Solution:
y=0.5x-2 ; y=-0.5x+4y=2x+1 ; y=-4x+1No Solution:
y=0.5x+1 ; y=0.5x+5y=-x-3 ; y=-x+3Infinity many solutions:
y=-x-2 ; y=-x-2y=3x+2.5 ; y=3x+2.5Answer:
the first answer is correct
Step-by-step explanation:
How do I solve this equation and check the solutions?
Answers
[tex]x = - 10 \\ [/tex]
[tex]x = 2[/tex]
Step-by-step explanation:
[tex] \sqrt{20 - 8x} = \times [/tex]
[tex]20 - 8x = {x}^{2} [/tex]
[tex] {x}^{2} + 8x - 20 = 0[/tex]
[tex]x = - 10[/tex]
[tex]x = 2[/tex]
What is the equation of this graphed line?
Enter your answer in slope-intercept form.
Please answer quickly, whoever answers correctly I will give Brainliest, thank you.
Answers
Points: (-4,-6), (2,6)
(6+6)/(2+6) = 12/8 = 3/2
Y = 3/2x +b
-6 = 3/2(-4) + b
-6 = -6 + b, b = 0
Equation: y = 3/2x
3. What problems would you encounter if the ladder were too short or too long? (1 point)
Answers
If the ladder was too short you wouldn’t be able to get to the place you need the ladder for. If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go. Hope this helps :p
The ladder were too short or too long is p
If the ladder was too short you wouldn’t be able to get to the place you need the ladder for.
What is the right angle triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go.
Therefore the answer is :p
To learn more about right angle triangle visit:
https://brainly.com/question/19563749
#SPJ5
Kim ate 50% of candies in the bag. If Kim ate 35 candies , how many candies were total in the bag?
Answers
Answer:
70 candies
Step-by-step explanation:
35 x 2 = 70
Check:
70/2 = 35
Find the missing value of x in the arithmetic sequence below.
x, 16, 20, 24, 28
Answers
Answer:
x=12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
just find the arithimetic sequence and count backwards have a great day
what the slope of(12,7) (5,9)
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]
[tex]slope = \frac{2}{ - 7} \\ [/tex]
[tex]slope = - \frac{2}{7} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂,y₂) are the points on the line.
We are given the points (12,7) and (5,9). Therefore:
[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m=\frac{9-7}{5-12}[/tex]
Solve the numerator.
Subtract 7 from 9 9-7=2[tex]m=\frac{2}{5-12}[/tex]
Solve the denominator.
Subtract 12 from 5 5-12= -7[tex]m=\frac{2}{-7}[/tex]
This fraction cannot be reduced further, so it is the answer.
The slope of the line is -2/7
1 point
Which of the following is the earliest
date?
O June 7, 1979
O July 17, 1997
O July 1, 1979
O June 17, 1997
O June 1, 1997
Answers
Answer:
June 7th, 1979
Step-by-step explanation:
1979 comes before 1997, so that eliminates those. Then June comes before July. So June 7th, 1979.
June 7, 1979, is the earliest date. Option A is correct.
How to represent the date?The recommended format for writing dates is YYYY-MM-DD, which stands for year, month, and day.
Since 1979 came before 1997, those are disregarded. June, therefore, precedes July. So, it's June 7, 1979.
The earliest date is June 7, 1979.
Hence option A is correct.
To learn more about the dates refer;
https://brainly.com/question/23156395
#SPJ2
What is the domain and range please?
Answers
Answer:
domain is the max and min x values
range is the max and min y values
Step-by-step explanation:
If x = 0 and y < 0, where is the point (x, y) located?
Answers
what is value of this expression below when y=3
8y^2-y-8
Answers
8(3)^2-(3)-8
8(9)-3-8
72-3-8 = 61
Answer:
61
Step-by-step explanation:
8x3^2 -3-8
8x9-3-8
72-3-8
72-11
61
ASAP what is the x and y intercept for −4x+7y=3
Answers
Answer:
x - (-3/4,0)
y - (0, 3/7)
Step-by-step explanation:
A bus stops at the station near Kylie's house every 1 hours . Which expression could be used to find the number of times the bus stops at the station in 24 hours?
Answers
Answer:
H
Step-by-step explanation:
24 x 1 1/4