Look at the arithmetic pattern shown here.
Select the Hint button to view a hint.
Using the variable n for the term, describe the sequence.
Answers
Answer:
[tex]a_{n}[/tex] = 10n
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then
[tex]a_{n}[/tex] = 10 + 10(n - 1) = 10 + 10n - 10 = 10n
The sequence can be seen to be an arithmetic sequence and the common difference of the sequence is 10.
What is an arithmetic sequence?Arithmetic sequences are an essential concept in mathematics and have applications in various fields, including algebra, physics, computer science, and finance. They are widely used to model patterns and relationships in real-world situations.
Looking at the sequence we can see that the common difference d can be obtained as;
d = S2 - S1
= 20 - 10
= 10
d = S3 - S2
= 30 - 20
= 10
Learn more about arithmetic sequence:https://brainly.com/question/34721740
#SPJ3
Related Questions
The function f(x)=x−−√ is reflected over the x-axis, translated 4 units down and 5 units to the left, then vertically stretched by a factor of 3. Which equation best represents the new function created?
Answers
Answer:
U dry aint put a answer
Step-by-step explanation:
Transformation involves changing the position of a function.
The equation of the new function is: [tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]
The function is given as:
[tex]\mathbf{f(x) = \sqrt x}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{f'(x) = -\sqrt x}[/tex]
The rule of translation, 4 units down and 5 units left is:
[tex]\mathbf{(x,y) \to ( x + 5,y-4)}[/tex]
So, we have:
[tex]\mathbf{f"(x) = -\sqrt{x + 5} - 4}[/tex]
The rule of vertical stretch by a factor of # is:
[tex]\mathbf{(x,y) \to (x,3y)}[/tex]
So, we have:
[tex]\mathbf{g(x) = 3(-\sqrt{x + 5} - 4)}[/tex]
[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]
Hence, the equation of the new function is:
[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]
Read more about transformation at:
https://brainly.com/question/13801312
21
Determine which equations are in standard form.
A 6x-7y=8
B y = 2x + 6
1
с
52 + 2y = 3
=
D
4x - 11y =-7
E - 3x + 5y = 12
-
Answers
Therefore, the correct answer is A) 6x - 7y = 8
Someone help me with this I will make you brain
Answers
Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
Find the perimeter of the figure below.
9x
8x-2
5x +11
17X-6
a. 45x - 14
b. 39x - 7
C. 58x + 8
d. 14x - 125
Please select the best answer from the choices provided
Ο Α
OB
Answers
Answer:
B
Step-by-step explanation:
Perimeter is the sum of all the lengths of its sides.
Perimeter of the figure
= 9x +8x -2 +17x -6 +5x +1
= 9x +8x +17x +5x -2 -6 +1
= 39x -7
Thus, the correct answer is option B.
Solve for x.
A. x = 7.5
B.x = 15
C.x = 10
D.x=5
Answers
Answer:
B. x=15 ayan na ang sagot
Enter an equation for the statement.
The price of a radio r is $40 less than the price of CD player p.
The equation is ____=____
Answers
r-40=p
Explication:
The price of a radio is $40 less then a CD player
Which expression is equivalent to 5 to the power of 6
5^6
Answers
Answer:
5^6
5^6 is the same thing as
5^6=5×5×5×5×5×5
=5×5=25×5=125×5=625×5=3125×5=15625
5^6= 15625
Answer:
125 * 125
Step-by-step explanation:
do 125 x 125 = 15625
C= 7.5x +25What is the dependant variable in the formula
Answers
'X' is the input while the 'C' is the output. Because the value of 'C' depends on the value of 'x', then C would be the dependent variable, and 'C' the independent variable.
Does anybody know the answer to this question f(x)=x^3-x^2-10x-8
Answers
Answer:
(X+1) (x - 4) (x+2)
Step-by-step explanation:
All the coefficients are integers so apply the rational zeros theorem.
The coefficient of x^3 is 1.
Divide (x^3-x2-10x-8)(x+1) = x^2-2x-8 with remainder = 0
The remainder is 0. (x+1) is a factor.
(x + 1) ( x^2 - 2x - 8)
x^2 - 2x - 8 (-4 * 2= 8) and -4 + 2 = -2)
= (x -4) (x+2)
The velocity of a moving body is given by the equation V = 12t – 6t2. For what
value of t is the velocity greatest?
Answers
Answer:
greatest velocity 6
Step-by-step explanation:
v=12t-6t2
dv/dt=0
12-12t=0
t=1
v at t=1=12-6=6
[tex]\sf -4(9x+9)[/tex]
Answers
Answer:
-36x-36x
Step by step explanation:
4(9x+9)
-36x -36x
Answer:
[tex]-36x-36[/tex]Step-by-step explanation:
[tex]-4\left(9x+9\right)[/tex]
Apply distributive law:
[tex]-4\times \:9x-4\times \:9[/tex]
[tex]-36x-36[/tex]
I have this problem on my test. Do I divide by 8 or 2 first to solve for x?
Toby's cup can hold 8 times as many ounces of water as Terry's. Together, the cups hold 22 ounces of water.
Answers
Explanation:
x = amount that Terry’s cup can hold
8x = amount that Toby’s cup can hold
Equation:
x + 8x = 22
9x = 22
The total area of Russian is about 20,000,000
Answers
Answer: 19,990,000 times
Step-by-step explanation: Land area of Russia = 20000000
Land area of Puerto Rico = 10000
20000000 - 10000 = 19,990,000
A secretary can type 960 words in 6minutes how many words can she type in 1 hour
Answers
Answer:
9600 words in an hour.
Step-by-step explanation:
There are sixty minutes in an hour.
60/6=10
multiply 960 by 10
960*10=9600
The secretary can type 9600 words in 1 hour.
960 * 6 = 160
160 x 60 = 9600
FEAR OF CLOWNS When you see a clown, what do you feel? You feel happy and ready to laugha, right? That's because we know that clowns make jokes, do funny antics and perform tricks to make us laugh. But did you know that there are people who tremble with fear when they see a clown?
These people have an unnatural fear of clowns. To know what this phobia is called:
Directions: Encircle the CORRECT LETTER. Then write the correct letter on the blank below. Determine the equation of a line passing through the following points. Use another sheet of paper for the solution.
Answers
Answer:
Coulrophobia
Step-by-step explanation:
Coulrophobia
PLEASE HELP what is the term what is A in the sequence and what is the common ratio
for 3 9 27 54
Answers
Help me with this problem plzzz
Answers
Answer:
definition of perpendicular
Step-by-step explanation:
typically when 2 lines cross they are 90 degrees or other word... perpendicular
write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi
Show your work and leave your answer it terms of pi
Answers
Answer:
72π (in terms of pi)
Step-by-step explanation:
V = π·r²·h
Plug in the values.
V = π·3²·8
Solve.
V = 72π
To leave an equation in terms of pi, just square, multiply, and leave pi at the end.
3² = 9·8 = 72
72π
If you need the answer fully simplified, it is 226.19 (rounded up).
Help please ill mark brainliest!
Answers
Answer: It will expand by 2 on each side
Step-by-step explanation: each side is 2 blocks long. 2×2=4 therfore the are becomes 16, and each sode is 4 blocks long. No, this is not true for evey square because not every square is a 2×2
Match the expression with its name. 3x + 7
Answers
Answer:
It's a linear expression.
Answer:
linear binomial
Step-by-step explanation:
I got it right in Grandpoint.
lou's car had 6.6 gallons of gas
Answers
Answer:
so they have 6.6 Gallons?
Step-by-step explanation:
25 - 3x = -8
what does x equal
Answers
Step-by-step explanation:
25-3x=-8
-8-25=-33
-3x=-33
-33/-3= 11
x=11
hope this helped =)
Answer:
[tex]\boxed{\bf x=11}[/tex]
Step-by-step explanation:
[tex]\bf 25-3x=-8[/tex]
[tex]\boxed{\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}}[/tex]
[tex]\bf 25-3x-25=-8-25[/tex]
[tex]\bf -3x=-33[/tex]
[tex]\boxed{\mathrm{Divide\:both\:sides\:by\:}-3}[/tex]
[tex]\bf \cfrac{-3x}{-3}=\cfrac{-33}{-3}[/tex]
[tex]\bf x=11[/tex]
Let f(x) = 3x2 + x − 3 and g(x) = x2 − 5x + 1. Find f(x) − g(x).
2x2 − 4x − 2
2x2 − 4x − 4
2x2 + 6x − 2
2x2 + 6x − 4
Answers
Answer:
D) 2x^2 + 6x - 4
Step-by-step explanation:
I took the quiz and got a 100%
Will give 30 points, please don't answer just for them
Wilson bought fruit that weighs 2 and 1 over 2 pounds. How many ounces does the fruit weigh? Show your work.
Answers
Answer:
1 that weighs 2pounds and 3 pounds,
Step-by-step explanation:
16 ounces in a pound
16x2 and 16x3
32
48
Please help im so lost Ty btw
Answers
Answer:
1) gradient (00) (-2 4) = y2-y1 / 2-1 = 4/-2 = -2 m = -2/1 means = m = -2 (negative slope) 2) gradient y2-y1 / x2-x1 = 3-0 / 2-0 = 3/2 = (1 1/2)/1 m = 1 1/2 (positive slope) we use the formula y-values divided by the change in the x-values. The equation of the gradient each goes like this 1) y = -2x as y is at origin nothing else to add The equation of the gradient each goes like this 2) y = 1 1/2x The equation of the point formula 1) we take the y -y1 = m (x +x 1) = y-0 = -2x (x +0) (as m = -2) y = -2(x +0) and The equation of the point formula 2) y - 0 = m ( x +x1) y - 0 = 1 1/2( x +0) = y = 1 1/2( x +0)
8. There are 3 cows for every 4 chickens on a farm. If there are 154
animals, how many are cows?
Pls help me
Answers
Answer:
12 po
Step-by-step explanation:
I try my best I don't know if right
What’s answer 10? Somebody please?
Answers
Answer:
Your table should be right. Plot these on your graph. (4,5) (8,10) (12,15) and (16,20). Hope it helps
Step-by-step explanation:
a compound that dissociates weakly is exposed to an electric current attached to a light bulb what do you expect will happen
Answers
Answer:
https://www.letsanswers.com/a-compound-that-dissociates-dissolves-to-form-ions-weakly-is-exposed-to-an-electric-current-attached-to-a-light-bul/
Step-by-step explanation:
link for the information
Helppp ppleasee ??!!
Answers
Answer:
[tex](m^{4} + 5) - n^{3}[/tex] = 85
Step-by-step explanation:
[tex](m^{4} + 5) - n^{3}[/tex] given m = - 2, and n = -4
Substitute the given values into the polynomial expression:
[tex](m^{4} + 5) - n^{3}[/tex]
[tex][(-2)^{4} + 5] - (-4)^{3}[/tex]
= (16 + 5) - (-64)
= 21 + 64
= 85
Therefore, the correct answer is 85.
Answer: 85
Step-by-step explanation:
(m^4+5)-n^3
(-2^4+5)-(-4)^3
(16 + 5)-(-64)
21 + 64 = 85
over the last 4 years michael has earned $240 interest on an initial investment of $2,000. what simple annual interest rate is the bank paying on this account
Answers
Answer:
.03 or 3%.
Step-by-step explanation:
Important:
I = interest
P = principal (investment)
R = simple interest rate
T = years
Formula: I = PRT
Given:
I = $240
P = 2000
T = 4 years
R = ?
Plug into formula:
240 = 2000(R)4
Multiply right side 2000*4
240 = 8000R
Divide both sides by 8000.
R = 240/8000
R = .03
The simple annual interest rate was .03 or 3%.
Therefore it .03 or 3%
