[tex]a_n[/tex] is the n-th term in the sequence. So
• the first term (n = 1) is a₁ = 3 + 6•(1 - 1) = 3
• the second term (n = 2) is a₂ = 3 + 6•(2 - 1) = 9
• the third term (n = 3) is a₃ = 3 + 6•(3 - 1) = 15
• the fourth term (n = 4) is a₄ = 3 + 6•(4 - 1) = 21
• the fifth term (n = 5) is a₅ = 3 + 6•(5 - 1) = 27
The common difference between terms is what you get from subtracting consecutive terms in the sequence, or the number [tex]a_n-a_{n-1}[/tex]. Just by taking any two consecutive numbers from above, you have d = 6, since
9 - 3 = 6
15 - 9 = 6
and so on. More generally,
[tex]a_n-a_{n-1}=(3+6\cdot(n-1)) - (3+6\cdot(n-2))=6\cdot((n-1)-(n-2))=6[/tex]
The force required to stretch a spring by 1 m from its unstretched length is 150 N. What is the force required to stretch the spring by 3 m? 450 N
200 N
600 N
300 N
Answer:
450 N.
Step-by-step explanation:
By Hooke's law
Force = k * displacement so
150 = k * 1
So k = 150 and the equation is
F = 150 d
So when d = 3
F = 150 * 3 = 450.
What is the domain and range for first graph
Answer:
domain=5,3 range=-5,-3
What is the difference of the polynomials? (9x^2 + 8) = (2x^2 + 3x)?
Answer:
7x^(2) - 3x + 8
Step-by-step explanation:
(9x^(2) + 8) - (2x^(2) + 3x)
distribute the "-" sign.
9x^(2) + 8 - 2x^(2) - 3x
Now combine like terms; (an "x^(2)" goes with an "x^(2)", not with an "x")
9x^(2) - 2x^(2) -3x + 8
7x^(2) - 3x + 8
The set of all real numbers x that satisfies -3
Answer:
[tex]567 { {yx6 { {x}^{2} }^{?} }^{?} }^{2} \times \frac{?}{?} 6 {x156346x { \frac{6y9yx9 { { \sqrt[ \sqrt{6x9 = x { \div x \times - { + x2x2 {?}^{2} }^{2} }^{2} } ]{?} }^{?} }^{2} \times \frac{?}{?} }{?} }^{?} \times \frac{?}{?} }^{2} [/tex]
Step-by-step explanation:
copy that in your paper good luck to you
Answer:
It's False
Step-by-step explanation:
both signs are < not ≤, which means they are not included. [ ] means the number is included, but ( ) means they are not.
Basically:
( ) = > <
[ ] = ≥ ≤
Identify the slope of the equation 4x - 3y = - 15.
Answer:
4x
Step-by-step explanation:
Answer: 4/3
First, rewrite in slope-intercept form:
-3y=-5-4x
3y=5+4x
y=5/3+4/3x
y=4/3x+5/3
And so we can see that 4/3 is the slope of the equation.
There is a picture below please help and fill in the blanks.
Six times a number is greater than 20 more than that number. What are the possible values of that number?
On-4
On>4
O n> 20/7
o n<20/7
Answer:
6x > x + 20,
x > 4
or
X belongs to a set of real numbers [0, +infinity)
Step-by-step explanation:
6x > x + 20
5x > 20
x > 4
Three consecutive integers sum to 36. Which integers are they?
11, 12, 13
Step-by-step explanation:
gb ndndhdyydhsbdgr
(Help needed ASAP) Michelle has a balance of $950 in a savings account that pays 3% interest compounded annually. If Michelle makes no deposits or withdrawals, how much money will be in her savings account after 2 years?
A)$1,007.00
B)$1,007.86
C)$1,004.00
D)$954.81
Answer:
i think its C....
Step-by-step explanation:
Find the product. Simplify your answer.
-9(-y² + 9)
Answer:
9y²+9 that's the answer
A scale drawing of a building is shown below. The scale of the drawing is 1 cm = 5 m
What is the perimeter of the actual building?
Answer:
150
Step-by-step explanation:
P = total distance
find the remaining distance which is
9- 4 = 5cm
6-4 = 2cm
P= 4+9+6+4+2+5
P= 30cm
Actual Perimeter
1cm = 5m
30 cm=?
30*5 = 150m
Answer:115
Step-by-step explanation:
circle 0 shown below has a radius of 27 inches.find to the nearest tenth of a degree the measure of the angle ,x, that forms are whose length is 14inches.
Answer: 29.7 degrees
Step-by-step explanation:
Good, I can see the diagram now!
First calculate circumference of the circle.
C=2πr
C=2π(27)
C=54π in ==> 360 degrees
54π/14=12.11757
360/12.11757=
29.709=29.7 degrees
Help plz!!!:)!!!!!!!!!!!
Answer:
The answer is D Hope this helps
Find f(g(3)). PLEASE HELP me asap!!!!! thank you so so much!!!! *will give brainliest*
=========================================================
Explanation:
Start at x = 3 on the x axis. Move up until you reach g(x), then move to the left to hit the y axis. You should arrive at y = 3.
That y value is the input to the f(x) function.
Plugging x = 3 into the f(x) function has us draw a vertical line down to f(x) and then go horizontally until we reach y = -2.
Who is Peeta traveling with immediately after the first battle?
Where does Katniss find water?
What sound is made each time a tribute dies?
What does Katniss grab from the Cornucopia?
Who does Katniss call "the biggest idiot in the Games"?
Answer:
The Career Tributes
5 miles from where she fell, in a pond.
A Cannon Boom
A sheet of plastic, a loaf of bread and an orange backpack containing numerous things that will help her survive.
The girl who made a fire underneath Katniss.
Step-by-step explanation:
I love the hunger games
Hope this helps :)
Please help
Here are the choices for the angle relationship
Alternate interior angles
Vertical angles
Alternate exterior angles
Consecutive interior angles
Corresponding angles
Answer:
Consecutive interior angles, x = 125
Step-by-step explanation:
Im just super big brain lol
pls help me geometry is so confusing
Which answer choice do I choose?
The points (-7,8) and (-11, -13) are the endpoints of a diameter on circle P. What is the length of the diameter of circle P? Round to the nearest tenth.
The lenght of the diameter of the circle P is 6.4
To solve this particular sum we need to know the concept of Distance formula . Distance formula is nothing but calculating the lenght of a line segment which has two end points .There are various types of distance formulas which we can use to calculate various things.
The different types of distance formulas are :
Distance between 2 points in a 2D Distance between 2 points in a 3D Distance between from a point to plane Distance between two parallel linesThe distance formula is : √{(x₂-x₁)² + (y₂-y₁)²}
Using this formula we will be able to find out the lenght of diameter of the circle P where endpoints are given as (-7,8) and (-11,-13)
(x₁,y₁) = (-7,8)
(x₂,y₂) = (-11,-13)
Substituting the values of x₁,y₁,x₂,y₂ in the formula we will get
∴ √{(-11+7)²+(-13+8)²}
= √{(-4)²+ (-5)²}
= √{16+25}
= √41
= 6.403
= 6.4 (rounded of to the nearest tenth)
Learn more about distance formula here:
https://brainly.com/question/7243416
#SPJ9
(practice quiz)
Subject: Mathematics
Answer:
look I am not going to answer
Step-by-step explanation:
but do 72.5-14.5 and you will get the answer
Use words to write: 146,050,866.94
Answer/Step-by-step explanation:
one hundred forty six million(146,000,000), fifty thousand(50,000), eight hundred sixty six(866), point ninety four(0.94)
use a recursive function for the geometric sequence 2, -4, 8, -16 to represent the 9th term. brainly
Answer:
512
Step-by-step explanation:
(a)=a*r^( n − 1)
(9)=2*(-2)^( 9− 1)
=512
hope this help
A shipping service has four different options for packages where each service has a base price for the first pound and a charge for each additional pound. Let w be the weight of the package in pounds and C be the cost in dollars. Match the solution that is viable for each equation.
Answer:
4Cx4W
Step-by-step explanation:
1/$ 1/$ 1/$ 1/$
C= Cost
W= /Lbs
Can anybody help me with this i will cashapp u $5 if its correct
Answer:the first one is 12 I believe and the second is 16. If it is wrong I’m terribly sorry I don’t need the money.
Step-by-step explanation:
Add
Malachi bought a new fishing rod. The regular price of the fishing rod was $125.99. He bought it on sale with a 15% discount. Sales tax of 3% is applied to the discounted total. What was the sale price with tax of Malachi’s fishing rod to the nearest cent.
Answer:
$3.21
Step-by-step explanation:
Elite Inc. has the following balances: Cash ($1,000), Equipment ($10,000), Salaries payable ($5,000), Building ($15,000), Land ($50,000), Equity ($50,000), and Loan payable ($10,000). An accountant prepares a Trial Balance, and it does not tally due to an unknown error. Which amount would the accountant record in a suspense account?
A. $12,000
B.$11,000
C.$13,000
D.$9,000
E.$10,500
Answer:
E
Step-by-step explanation:
The answer is E because none of the balances of Elite Inc. offers can account for the $500
Felix graphed a system of equations that had no solution. The first equation he graphed was y = {c - 7. PLEASE HELP What was the second equation he graphed?
Answer
A y = 3x + 2
B 3y - I= -21
Cy- 2 = {(x + 1)
Dy - 3x = -7
Answer:
Choice C
Step-by-step explanation:
First when we are looking for a system of equations that has no solution we are looking for two lines that won't intersect and the only lines that would never intersect are parallel lines.
Ok so what we are looking for is an equation with the same slope but different y-intercept. A parallel line should go at the same rate like the other line but shouldn't start at the same point.
[tex]y=\frac{1}{3}x-7[/tex]
Analysing Choice A:
[tex]y=3x+2[/tex]
We just said that the slope has to be the same so this one can't be it.
Analysing Choice B:
For this one we have to put it in slope-intercept-form.
[tex]3y-x=-21\\3y=x-21\\y=\frac{1}{3}-7[/tex]
So we see that the slope is the same for this one and and the y-intercept is also the same which is NOT what we need so on tho the next one.
Analysing Choice C:
For this one we also have to put it in slope-intercept-form.
[tex]y-2=\frac{1}{3}(x+1)\\y-2=\frac{1}{3}x+1\frac{1}{3}\\y=\frac{1}{3}x-\frac{2}{3}[/tex]
We see that the slope are the same and the y-intercept are different so this is the one we are looking for.
Sorry but for the sake of time I won't analyze choice D.
Please solve number 5
Answer:
y = 3x + 1
Step-by-step explanation:
Hope this helps!
what is the simplest form of 3/2 + 6/5
Answer:
[tex]2\frac{7}{10}[/tex]
Step-by-step explanation:
[tex]\frac{3}{2}+\frac{6}{5}[/tex]
[tex]=\frac{15}{10} +\frac{12}{10}[/tex]
[tex]=\frac{27}{10} =2\frac{7}{10}[/tex]
Helppp me please I would really appreciate it please!!
Answer:
b?
Step-by-step explanation: