Answer:
The common difference d is d = -3
The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]
Step-by-step explanation:
We need to find the common difference and the recursive formula.
a. 22, 19, 16, 13, …
First we will find common difference
The formula of arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]
where a_n is nth term, a_1 is 1st term and d is the difference
Looking at the sequence we get: a_1=22, a_2=19
Using these values we can find d, the common difference
[tex]a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3[/tex]
So, the common difference d is d = -3
Now, we will find the recursive formula:
The recursive formula is of type: [tex]a_n=a_{n-1}+d[/tex]
We have found common difference d = -3
So, the recursive formula will be:
[tex]a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3[/tex]
The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]
which of the following is true
GIVING BRAINLEST
Answer:
KK
Step-by-step explanation:
Answer is 10.
Step-by-step explanation:
Can the sides of a triangle have lengths 13.9, 12.7, and 5.1?
yes or no?
Answer:
Yes
Step-by-step explanation:
Sure. For example 5.1+13.9>12.7 or 5.1+12.7>13.9 or 13.9-5.1<12.7
Answer:
Yes
Step-by-step explanation:
whats the sentence as an equation? b minus 158 is the same as 58
Answer:
b - 158 = 58
Step-by-step explanation:
b - 158 = 58
Hope it helps you in your learning process.
Answer:
b-158=58
Step-by-step explanation:
Witch fraction is equivalent to 2/3
Answer: 4/6, 6/9, 8/12, 10/15, 12/18, 14/21
Step-by-step explanation:
These r just a few hope this helps ;)
s
is inversely proportional to
t
.
When
s
=
0.3
,
t
=
8
Work out
s
when
t
=
0.4
Answer:
s inversely proportional 1/t
s=0.3, t=8
s=k/t
0.3=k/8
k=0.3×8
k=2.4
find s when t=0.4
s=2.4/0.4
s=6.0 or 6
if there where 10 apples and my frend took 6 how many do i have
Answer:
10-6=4
if your friend took 6 apples out of the 10 you have you would have 4 left.
Step-by-step explanation:
Help me with this!
Select all the relations that represent a function.
(1, 3), (2, 5), (2, 7) (4, 9)
(1, 3), (2, 5), (3, 7) (4, 9)
(1, 3), (1, 5), (1, 7) (4, 9)
(1, 3), (2, 3), (3, 3) (4, 3)
(1, 2), (2, 5), (2, 1) (4, 5)
Plss answer
i will give brainliest
Answer:
sorry im doing a challenge but i will have someone answer it
Step-by-step explanation:
A liquid is being poured at a rate of 15 gallons per minute. How fast is it being poured in liters per hour? Use the fact that one gallon is approximately 3.785 liters, and do not round your answer.(1 point)
liter(s) per hour
Answer:
Summarize the end of the story and explain the resolution— when the conflict is solved :
At the end of the story...
Step-by-step explanation:
What’s the percentage ?? Please fast!!! Asap
Answer:
52%.
Step-by-step explanation:
There are a total of 50 squares in the shape, and only 26 squares of the shape are shaded. That makes 52% or 0.52.
Answer:
52%
Step-by-step explanation:
26 out of 50 blocks are shaded orange
26/50 = 52%
the integers -10 and 10 are=
Answer:
Opposites of each other?
Step-by-step explanation:
I am not sure, the only thing that is not making them equal to each other is that they have opposite signs.
13. David throws a bucket with an initial speed of 2 meters per second into a well that is 30 meters deep. When will the bucket hit the bottom of the well?
Answer: 2.69
Step-by-step explanation: i just took the test
Find the value of X
Answer:
x + 80 =180 (Being sum of 180 degree)
or,x=180 -80
= 100
3u - 10 =23
Simplify your answer as much as possible.
Ü
Х
Answer:
u=11
Step-by-step explanation:
3u - 10 = 20
3u-10+10=20+10 |+10
3u=33 |÷3
3/3*u=33/3
1*u=11
u=11
If you bought a stock last year for a price of $63, and it has risen 17% since then, how
much is the stock worth now, to the nearest cent?
Answer:73.72
Step-by-step explanation:
fiona´s laptop computer weighs 2.5 kilograms. What is the weight of the computer in grams?
Answer:
2,500 grams
Step-by-step explanation:
2.5 kilograms = 2,500
Therefore, the laptop is 2,500 kilograms.
hope i helped
if a bike race covers 120 mi over 6 days and the cyclists ride the same distance every day how many miles does each cyclist ride each day
Two-thirds of a number is equal to negative one-fifth. What is the number?
-7 1/2
-3/10
-2/15
-3 1/2
Answer:
maybe -3/10? (i did 2/3n = -1/5)
:)
What is the value of 9(4x - 4) when x = 5
Answer:
144
Step-by-step explanation:
plug in 5 where you see the x.
that gives us 9(4(5)-4)
multiply the 4 and the 5 first to get 9(20-4)
and by PEMDAS, we solve the parentheses first so now we have 9(16)
so now just multiply 9x16 to get 144
Step-by-step explanation:
9((4×5)-4)
9(20-4)
9(16)
144
All the factors of 7 are also factors of 14. True or False?
Answer:
true
Step-by-step explanation:
What is 24 − 6 × 3 + 52 − (16 ÷ 2)?
Answer:
23
Step-by-step explanation:
When answering expressions like these we should always go by the order of operation. That order tells us to do parentheses, exponents, multiplication/division, then addition/subtraction. So as it said we will do whatever is inside the parentheses which is 16 ÷ 2.
24 − 6 × 3 + 5^2 − (16 ÷ 2)
24 − 6 × 3 + 5^2 − 8
Next is the exponent.
24 − 6 × 3 + 5^2 − 8
24 − 6 × 3 + 25 − 8
Now we will do multiplication/division.
24 − 6 × 3 + 25 − 8
24 − 18 + 25 − 8
Lastly we'll do addition/subtraction.
24 − 18 + 25 − 8
6 + 25 - 8
31 - 8
23
And that's it we got it!
24 - 6 x 3 + 52 - (16/2)= 50 !
Step-by-step explanation:
Hope this helps
According to your graphing calculator, what is the approximate solution to the trigonometric inequality cox(x)>-7/8 over the interval 0<=x<=2pi radians?
Answer:
0<=x0.7896
0<=x<0.9799
0<=x<0.9870
0<=x<1.2249
Answer:
Its C
Step-by-step explanation:
Got it right on Edge 2022
[tex]2 {x}^{2} + 6x - 3 = 0 \: find \: x[/tex]
Answer:
Step-by-step explanation:
n+3 +n for n = 6 Can you help
Answer:
15
Step-by-step explanation:
If I am not mistaken, since n is 6 you would replace n with 6 so it would be 6+3+6= 15.
I hope this helps :)
Mr. Moorehead has less than $25 to spend on books
and music CDs. Books are on sale for $5 each, and
music CDs are on sale for $10 each. Mr. Moorehead
will purchase exactly 1 music CD. The inequality
below can be used to find b, the greatest number of
books that Mr. Moorehead can purchase.
10 + 5b < 25
What is the GREATEST number of books that Mr.
Moorehead can purchase?
Find the Error A student solved the equation and determined that the solution was –2. Choose the response that shows her error and corrects it.
Multiple choice question.
A)
There is no error, her answer is correct.
B)
The initial equation simplifies to 3x = 0, which means that x = 0.
C)
The equation –2 = –2 is always true, so no value of x will make the equation true. The correct solution of the equation is that there is no solution.
D)
The equation –2 = –2 is always true, so every value of x will make the equation true. The correct solution of the equation is infinitely many solutions.
The equation –2 = –2 is always true, so no value of x will make the equation true. The correct solution of the equation is that there is no solution.
What is equation?In mathematics, an equation is a statement that shows the equality between two expressions. It contains an equals sign (=) that separates the two expressions. The expressions on both sides of the equals sign can be numbers, variables, or functions. The equation represents a relationship between the expressions that must hold true for all values of the variables involved. Solving an equation means finding the values of the variables that satisfy the equation. Equations are used in various fields, such as physics, engineering, economics, and many others, to model and solve real-world problems.
Here,
The error made by the student is assuming that -2 is the solution to the equation without actually solving it. The equation -2 = -2 is always true, which means that the equation is an identity and has no solution. So, the correct solution of the equation is that there is no solution.
To know more about equation,
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If z = 1 + StartRoot 3 EndRooti, what is z5? 16 + 16StartRoot 3 EndRoot i –16 + 16StartRoot 3 EndRoot i –16 – 16StartRoot 3 EndRoot i 16 – 16StartRoot 3 EndRoot i
Answer:
The answer is C
Step-by-step explanation:
Correct answer shown on edge
The power of 5 of complex number z is (-16√3 + 16) + 4(-√3 + 3)i
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have:
z = 1 + √3i
We have to find: z⁵
z⁵ = (1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)
z⁵ = (-2 + 2√3)(1 + √3i)(1 + √3i)(1 + √3i)
[tex]\rm z^5=\left(2\sqrt{3}-2\right)+2\left(3-\sqrt{3}\right)i(1+\sqrt{3}i)(1+\sqrt{3}i)[/tex]
[tex]\rm =\left(-4\sqrt{3}+4\right)+4\left(3-\sqrt{3}\right)i(1+\sqrt{3}i)[/tex]
z⁵ = (-16√3 + 16) + 4(-√3 + 3)i
Thus, the power of 5 of complex number z is (-16√3 + 16) + 4(-√3 + 3)i
Learn more about the complex number here:
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Which set of steps will translate f(x) = 6X to g(x) = 6x – 5 – 7?
Shift f(x) = 6* five units to the left and seven units up.
O Shift f(x) = 6' five units to the right and seven units down.
Shift f(x) = 6X seven units to the right and five units up.
Shift f(x) = 6X seven units to the left and five units down.
Answer:
5 left 7 down
Step-by-step explanation:
The correct set of steps to translate f(x) = 6ˣ to g(x) = 6ˣ⁻⁵ – 7 is to shift f(x) = 6ˣ five units to the right and seven units down.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The functions are given in the question, as follows:
f(x) = 6ˣ and g(x) = 6ˣ⁻⁵ – 7
Consider the graph of f(x) = 6ˣ.
Shifting the graph seven units to the right means that each x-coordinate of a point on the graph will be decreased by five. This will result in a horizontal shift to the right of the graph.
Shifting the graph seven units down means that each y-coordinate of a point on the graph will be decreased by seven. This will result in a vertical shift downward of the graph.
Therefore, the new equation of the translated graph will be g(x) = 6ˣ⁻⁵ - 7.
To learn more about the transformations click here :
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Exploring Unit Rates on Graphs -
The graph shows the rate at which paint is used to paint a wall.
Enter values to complete each statement below based on the graph.
Answer:
1 gallon of paint will paint 400 ft² of the wall
Unit rate = 400 ft² per gallon
Step-by-step explanation:
From the graph, when 1 gallon of paint was used, (x = 1), an area of 400 ft² of the wall was painted (y = 400).
Unit rate = y/x. That is, the amount of square feet of wall that would be painted using 1 gallon of paint.
Unit rate = 400 ft²/1 gallon = 400 ft²/gallon.
6). To make trail mix you need 2
cups of raisins for every 3 cups
of almonds. How many cups of
raisins are needed for 12
cups of almonds?
Answer:
[tex]\boxed {\boxed {\sf 8 \ cups \ of \ raisins }}[/tex]
Step-by-step explanation
Let's create a proportion using this setup.
[tex]\frac{raisins}{almonds} =\frac{raisins}{almonds}[/tex]
We know that 2 cups of raisins are needed for 3 cups of almonds.
[tex]\frac{2 \ cups \ raisins}{3 \ cups \ almonds} =\frac{raisins}{almonds}[/tex]
We don't know how many cups of raisins are needed for 12 cups of almonds. Therefore, x cups of raisins are needed for 12 cups of almonds.
[tex]\frac{2 \ cups \ raisins}{3 \ cups \ almonds} =\frac{x \ cups \ raisins}{12 \ cups \ almonds}[/tex]
[tex]\frac{2 }{3} =\frac{x }{12 }[/tex]
Since we are solving for x, we must isolate that variable. It is being divided by 12. The inverse operation of division is multiplication. Multiply both sides of the proportion by 12.
[tex]12*\frac{2 }{3} =\frac{x }{12 }*12[/tex]
[tex]12*\frac{2 }{3}=x[/tex]
[tex]8=x[/tex]
8 cups of raisins are required for 12 cups of almonds.