The value for the given question is x₁ = 1.8, x₂ = 1.85, x₃ = 1.846.
Given iteration formula as xₙ ₊ ₁ = ∛ 10 - 2xₙ
Given x₀ = 2
We have to find the values of x₁, x₂, and x₃ as
For finding the value of x₁ we need to substitute n = 0 as
xₙ ₊ ₁ = ∛ 10 - 2xₙ
x₀ ₊ ₁ = ∛ 10 - 2x₀
x₁ = ∛ 10 - 2(2) (∵ x₀ = 2)
x₁ = ∛ 10 - 4
x₁ = ∛ 6
x₁ = 1.8
For finding the value of x₂ we need to substitute n = 1 as
xₙ ₊ ₁ = ∛ 10 - 2xₙ
x₁ ₊ ₁ = ∛ 10 - 2x₁
x₂ = ∛ 10 - 2(1.8) (∵ x₁ = 1.8)
x₂ = ∛ 10 - 3.6
x₂ = ∛ 6.4
x₂ = 1.85
For finding the value of x₃ we need to substitute n = 2 as
x₂ ₊ ₁ = ∛ 10 - 2xₙ
x₂ ₊ ₁ = ∛ 10 - 2x₂
x₃ = ∛ 10 - 2(1.85) (∵ x₀ = 1.85)
x₃ = ∛ 10 - 3.7
x₃ = ∛ 6.3
x₃ = 1.846
Therefore, the value of x₁ = 1.8, x₂ = 1.85, x₃ = 1.846.
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1. If A*B= A·B+1 and A□ B = A+B/2, then find 3 *[(7 □ 3) □ (3*4)].
2. If * represents and operation defined by a*b= a^b +b, find (1*2)*3.
Explain PLEASE!!!
The required solution would be 46 for a given problem (1).
The required solution would be 1 for a given problem (2).
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given that A * B= A·B + 1 and A □ B = A + B/2,
⇒ 3 *[(7 □ 3) □ (3*4)].
⇒ 3 *[(7 + 3/2) □ (3·4 + 1)].
⇒ 3 *[(17/2) □ (13)].
⇒ 3 *[17/2 + 13/2].
⇒ 3 *[30/2].
⇒ 3 * 15.
⇒ 3·15 + 1
⇒ 46
We have been given that * represents an operation defined by a*b= a^b +b,
find (1*2)*3.
⇒ a∗b = aᵇ + b
∴ (1 ∗ 2) ∗ 3 = (1²) ∗ 2 = (1) ∗ 2 = (1)³ = 1
Therefore, the required solution would be 46 for a given problem (1) and
the required solution would be 1 for a given problem (2).
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A function, fx), represents the height of a plant x months after being planted. Students measure and record the height on a monthly basis.
Select the appropriate domain for this situation.
OA
the set of all integers
OB. the set of all positive real numbers
OC. the set of all positive integers.
OD. the set of all real numbers
Answer:
C. the set of all positive integers
Step-by-step explanation:
You want to know the appropriate domain of the function f(x) where x is months after a plant was planted, and f(x) is the height of the plant.
DomainThe domain of a function is the set of values of the independent variable for which the function is defined. In this case, the independent variable is x, the number of months after the plant was planted. Months are counted using the natural numbers, the set of all positive integers.
The appropriate domain is the set of all positive integers.
__
Additional comment
As a practical matter, the domain will have an upper limit, so will not actually be all positive integers.
The range of function values is likely the set of positive real numbers, though it might be integers if the measurements are recorded as integer values (mm or cm or in, for example).
If two rays share an endpoint,then they are opposite rays
Help me with this problem please
Can you help me solve for X. 4x+9=11
Answer as a fraction: x = 1/2
Answer in decimal form: x = 0.5
Work Shown:
4x+9 = 11
4x = 11-9
4x = 2
x = 2/4
x = 1/2
x = 0.5
Explanation: I subtracted 9 from both sides (step 2). Then I divided both sides by 4 to fully isolate x (step 4)
Find the equation of a line whose graph passes through the points (8,1) and (0,1)
Answer: y=1
Step-by-step explanation:
Slope formula: m=(y2-y1)/(x2-x1)
m=(1-1)/(0-8)
m=0/(-8)
m=0
y=mx+b
1=0(0)+b
b=1
y=0x+1
y=1
Please help me I need this fast in class
Will give brainlest for help!
I got half the question solved I need help with other half please
Answer: y=-37/2
Step-by-step explanation:
y=9x/8 + (-1/2)
y=9x/8 - 1/2
y=9(-16)/8 - 1/2
y=9*(-2) - 1/2
y=-18 - 1/2
y=-(18 + 1/2)
y=-(18 + 1/2)*2/2
y=-(36 + 1)/2
y=-37/2
Question -: If ( 1 + tan θ ) ( 1+ ∅ ) = 2 , then what is ( θ + ∅ ) ?
a . 30⁰ b. 45⁰ c. 60⁰ d. 90⁰
Answer this question
Please Give Explanation
thanks
Correct choice is B.) 45°
The solution is in attachment ! do check it
Step-by-step explanation:
6.25 points
Find the GCF for the list.
10m4, 40m⁹
10m5
40m4
10m4
6.25 points
hey
list
Translate to an equation, but do not simplify or solve.
Eight more than x is equal to 53.
Solve the equation.
X =
+
Answer:
x + 8 = 53
Step-by-step explanation:
x + 8 = 53
8 more than x is x + 8 because ur adding 8 more to x. And that is equal to 53 because it literally says IS EQUAL to 53. therefore.
to solve isolate x by subtracting 8 from both side so:
x = 53-8
x = 45
please help rlly fast, tysm
Answer: 27. 10 < x < 20
29. 10 < x < 20
Step-by-step explanation:
A school needs 3,198 notebooks for next year. If the notebooks come in packages of 82, how many packages should the school buy?
Answer:
The school should buy 39 packages.
Step-by-step explanation:
3198 notebooks
82 notebooks = 1 package
3198÷82 = 39
(Eg: you have 4 notebooks and there are 2 in each package. How many packages are there? 4÷2 = 2 So 2 packages)
a dreidel is a four-side spinning top. each of the dreidel has a letter from the Hebrew alphabet, nun, gimmel, hay and shin.
Matthew spins the dreidel twice. he says the probability
Answer:
8 with 6
Step-by-step explanation:
Plss help mee pls
Can someone answer this or look for the answer keys pls help
Answer:
11. 6
13. 73
15. 588
17. 139
19. 18
21. 18
23. 8
Step-by-step explanation:
To solve these equations, you simplify each expression. You also use the order of operations.
Find the area and perimeter. The figure shows a triangle. One side is given by x minus 7 units. The second side is given by 2 x plus 5 units. The third side is equal to 12 units. The height from the third side is given by x plus 6 units. Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex. 12x + 72; 3x + 10 6x + 36; 3x + 10 6x + 36; 10x + 3 12x + 72; 10x + 3
Area of the triangle = 6x + 36
Perimeter of the rectangle = 3x + 10
How to Find the Area and Perimeter of a Triangle?Given the following parameters of a triangle as shown in the image attached below, its area and perimeter is calculated as shown below?
Area of the triangle = 1/2(base)(height) = 1/2(12)(x + 6)
Area of the triangle = 6(x + 6)
Area of the triangle = 6x + 36
The perimeter of the triangle = sum of all the three sides of the given triangle = (x - 7) + (2x + 5) + (12)
Perimeter= x - 7 + 2x + 5 + 12
Add like terms
Perimeter= x + 2x - 7 + 5 + 12
Perimeter= 3x + 10
Therefore, we have:
Area of the triangle = 6x + 36
Perimeter of the rectangle = 3x + 10
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if it takes 6 men 25 hours to dig 5 holes, how many hours does it take to dig 5 holes with 10 men
Answer: Answer is 15 hours
Step-by-step explanation:Given 6 men dig 5 holes in 25 hours
Therefore 10 men will take to dig 5 holes is
workers(1) × time(1) = workers(2)×time(2)
(This formula is used when Total work is same)
where workers(1)= 6 men
Time (1) = 25 hours
workers (2) = 10 men
We have find out Time(2)=T(2)
by applying above formula
6×25=10×T2
after simplify
T2= 15 hours
A charter tours bus driver can fit an average of 54 passengers on his bus for each tour. He is scheduled to run 9 tours over the next month. At this rate, how many passengers will he give tours to on his bus?
The number of passengers that he will give tours to on his bus is 486 passengers.
How to compute the value?From the information, the charter tours bus driver can fit an average of 54 passengers on his bus for each tour and he is scheduled to run 9 tours over the next month.
The number of passengers that he will be able to carry will be:
= 54× 9
= 486
There'll be 486 passengers.
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See your levels
Mr. Camacho has 275 rubber stamps. He wants to give the same number of stamps to
each of his 8 students. If he gives away as many stamps as he can, how many stamps will be
left over?
Submit
rubber stamps
I do
Company Blog Help center User guides Tell us what you think Testimonials Contact us Terms of service Priva
IM LEARNING 2022 IXL Learning. All rights reserved.
Answer:
3 Stamps left
Step-by-step explanation:
275/8=34.375
34*8=272
275-272=3
Answer: 3
If P=5+7+9+11+...+101 and Q=9+11+13+15+...+103 are sums of arithmetic sequences, determine which
is greater, P or Q, and by how much.
In the sequence, Q is greater by 115.
How to calculate the value?From the information, P=5+7+9+11+...+101 and Q=9+11+13+15+...+103.
It should be noted that by looking at the figures the greater value will be Q as it began with a higher number.
The difference will be:
= 5 + 7 + 103
= 115
Therefore, in the sequence, Q is greater by 115.
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What is the probability of
spinning a yellow?
[?]%
Answer:
12.5 %
Step-by-step explanation:
There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%
3/4 + 7/8 + 3/4 + 1/2 + 7/8
Answer:
=
15/4
(Decimal: 3.75)
Step-by-step explanation:
Find an equation of variation in which y varies jointly as x and z, and y= 48 when x = 8 and z=6
Answer:
y = xzStep-by-step explanation:
Joint variation equation:
y = kxz, where k- coefficient of variationGiveny = 48,x = 8,z = 6Find the value of k by plugging in the given values:
48 = 8*6k48 = 48kk = 1The equation is:
y = xzcarla wrote this number:815,247 travis wrote this number: 638.571 the digit 8 in carlas number represents how many times what the digit 8 represents in travis number?(55 points)
The 8 in Carla's number is 100 times the 8 in Travis' number.
How many times what the digit 8 represents in Travis number?Here you need to understand the concept of place value. For any number, each digit is always a order of magnitude of 10 larger than the digit in the left.
For example, in 88
The first 8 is 10 times larger than the second one.
There comes the concept of place value, the first digit at the left of the decimal point represents the units, the second represents the tens, the third one the hundresd, and so on.
So, in the two given numbers:
815,247 Here the 8 represents the hundreds of thousands.
638,571 Here the 8 is in the thousands place value.
Then the relation between the first 8 and the second one is:
100,000/1,000 = 100
The 8 in Carla's number is 100 times the 8 in Travis' number.
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14. Explain how you can use multiplication to
find the quotient. Then evaluate the
expression.3/5 divided 3/15
Answer:
You can flip the second fraction and multiply the fractions so 3/5 * 15/3 = 3
Step-by-step explanation:
Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=-2x^5+10x^3
Answer:
Step-by-step explanation:
45
Refer to the number line. Find the coordinate of point X such that the ratio of MX to XJ is 3:1.
The coordinate of point X such that the ratio of MX to XJ is 3:1 is 12
How to determine the coordinate of point X?The coordinates are given as:
M = 2
J = 18
The ratio is given as:
Ratio = 3 : 1
The location of the point X is then calculated as:
X = Ratio * (J - M)
This gives
X = 3/(3 + 1) * (18 - 2)
Evaluate
X = 3/4* 16
This gives
X = 12
Hence, the coordinate of point X such that the ratio of MX to XJ is 3:1 is 12
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Step-by-step explanation:
show how to work out the question
Find the next item in the
pattern:
-3, 6, -12, 24, ...
1/2(x + 6) = 1/2x - 9
Answer:
i think the question might be wrong.
About how many pizzas does Mr. T's Pizzeria sell each week? Remember, there are 7 days in a week.
Mr. T's Pizzeria Daily Sales
Types of Pizza Number of Pizzas
Pepperoni 29
Sausage 35
Veggie 42
Cheese 28
A.
about 1,000 pizzas
B.
about 1,200 pizzas
C.
about 1,400 pizzas
D.
about 2,000 pizzas
Answer: a
Step-by-step explanation: hope it helps.
HELP ASAP!!!
Evaluate the polynomial for the given value by using synthetic division.
P(x) = 3x4 - x³ + 7x - 2 for x = 4 and x = -2
A.802; 52
B.-238; 32
C.730; 40
D.202; -44
Answer:
I'm assuming that is 2x squared, and not 2 multiplied by 2, as a given question usually wouldn't come in such a silly format. I do wish people would start using (2x^2) or (2x²), though.Just substitute the value of x (-3) in to the equation to find the value of y, or P(x).2(-3)² + 7(-3) - 1 = -4
Step-by-step explanation:
Helppp!
h(x)=x^2-6
Evaluate h(-3)
Answer:
3
Step-by-step explanation:
input -3 into h(x)=x^2-6
h(-3)=-3^2-6=9-6=3