Based on the calculations, the first three (3) iterations of the given function are 120, 96 and 76.8.
How to find the first three iterations?In this exercise, you're required to find the first three (3) iterations of the given function. Thus, we would substitute the value of x₀ into the function and then evaluate as follows:
First iteration:
f(x) = 0.80x
f(x₀) = 0.80x₀
f(150) = 0.80 × 150
f(150) = 120.
Second iteration:
f(x) = 0.80x
f(x₁) = 0.80x₁
f(120) = 0.80 × 120
f(120) = 96.
Third iteration:
f(x) = 0.80x
f(x₂) = 0.80x₂
f(96) = 0.80 × 96
f(120) = 76.8.
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Anyone know the answer
Step-by-step explanation:
-2g(1+g)
-2g - 2g²
(-2)g - (2)g²
Which system has no solutions? x < 3 x < 1 x > 3 x > 1 x < 3 x > 1 x > 3 x < 1
The system of inequalities with no solution is x > 3 x < 1
How to determine the system with no solutions?The systems of inequalities are given as:
x < 3 x < 1
x > 3 x > 1
x < 3 x > 1
x > 3 x < 1
As a general rule, it is impossible for a variable to be greater than a higher number and less than a smaller number.
This means that if x is greater than 3, then it must be greater than 1
Hence, the system of inequalities with no solution is x > 3 x < 1
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A nuclear power plant has two independent safety systems. The probability the first will not operate properly in an emergency P (A) is 0.01, and the probability the second will not operate P (B) in an emergency is 0.03. What is the probability that in an emergency both of the safety systems will not operate?
Step-by-step explanation:
they are independent systems, so in case of an emergency both systems will activate.
this is like rolling 2 dice and asking for the probability that both will show 1.
the probability that both will fail is the product of the individual probabilities for failure :
0.01 × 0.03 = 0.0003
so, the third answer option is correct.
FYI - the probability for 2 dice to both roll 1 is
1/6 × 1/6 = 1/36
The equation of a circle is given below:
x squared minus 4 x plus y squared minus 6 y minus 7 equals 0
Identify the center and radius of the circle.
Group of answer choices
Center: left parenthesis 2 comma 3 right parenthesis
Radius: 20
Center: left parenthesis 4 comma minus 6 right parenthesis
Radius: 2 square root of 5
Center: left parenthesis negative 4 comma 6 right parenthesis
Radius: 20
Center: left parenthesis 2 comma 3 right parenthesis
Radius: 2 square root of 5
Given:
The equation of the circle is
We need to determine the center and radius of the circle.
Center:
The general form of the equation of the circle is
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation to determine the center.
The given equation can be written as,
Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
Radius:
Let us compare the general form of the equation of the circle with the given equation to determine the radius.
Hence, the given equation can be written as,
Comparing the two equation, we get;
Thus, the radius of the circle is 8
The value of p in the equation 2p - 3 = p + 2 Is
Answer:
p = 5
Step-by-step explanation:
Given equation:
2p - 3 = p+2
To Find:
Value of pSoln:
2p - 3 = p + 2
Subtract p from both sides:
=>2p-3−p = p+2-p
=>p-3 = 2
Add 3 to both sides:
=>p−3+3 = 2+3
=>p = 5
Hence,the value of p would be 5.
We can plug the value we got to the original equation to verify:
=> 2p - 3 = p + 2
p = 5=> 2(5) -3 = 5 + 2
[Make sure to simplify using PEMDAS]=> 10 - 3 = 7
=> 7 = 7 [Proved]
Hence,this equation is true.
[tex]\rule{225pt}{2pt}[/tex]
Acronym PEMDAS rule means:
P:ParenthesesE:ExponentsM:MultiplicationD:DivisionA:AdditionS:SubtractionAnswer:
p = 5
Step-by-step explanation:
First we add 3 to both sides to make :
2p = p + 5
Now we subtract p from both sides :
p = 5
Hope this helped and brainliest please
Twice a number x increased by 32 is translated to 2x+32
Answer:
If you are asking if that's correct then yes it is
Step-by-step explanation:
From your observation : x⁰=
Answer:
=1
Step-by-step explanation:
[HELP, DUE TOMORROW. WILL GIVE BRAINLIST] What do exponential functions model in the real world? How does the standard equation form of the exponential equation change in each situation?
Step-by-step explanation:
write the function in module in real where how does standard it's easy how do you have to do is think in your mind and there's follow like if it had some if it have some notes or something like that you could actually read it and then you can get ideas in your head and complete answers and you will get it
Solve the following absolute value equation. |2+1 = 3 3 2 = -[ ]
Answer:
Sorry
Step-by-step explanation:
I not know this one
Seleccione el número que se puede
describir mejor como enteros.
the second one
Step-by-step explanation:
If f(x)=3x+5/x, what is f(a + 2)?
a. 3a + 5/a + 2
b. 3(f(a)) + 5/f(a)+2
c. 3(a+2) + 5/a+2
Answer:
Answer C is correct
Step-by-step explanation:
1. We replace x as (a + 2)
2. Then we just rewrite this function with the new value
3. Result: 3(a+2) + 5/(a+2)
After arguing for two weeks, melissa convinced her parents to have her birthday party at flyzone trampoline park. as soon as she gets there, melissa spends time practicing flips on the trampolines. then, she spends 1/2 of an hour eating birthday cake with her friends. in all, melissa spends 1/4 hours at flyzone.
The amount of time that Nora practices flips is; t = 1 ¹/₄
How to Solve Algebra problems?We are told that;
Nora spends time practicing flips on the trampolines. Let this be t.
Then, she spends 1/2 of an hour eating birthday cake with her friends.
Thus, total amount of time spent on flips and eating with her friends is;
t + ¹/₂ = 1 ³/₄
t = 1 ³/₄ - ¹/₂
t = 1 ¹/₄
Complete Question is;
After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she gets there, Nora spends time practicing flips on the trampolines. Then, she spends 1/2 of an hour eating birthday cake with her friends. In all, Nora spends 1 3/4 hours at FlyZone. Which equation can you use to find the amount of time Nora practices flips?
Solve this equation for (t) to find the amount of time Nora practices flips
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if the point D (8, -5) is reflected over the x-axis, the coordinates of D’ would be
The image of the point after the reflection across the x-axis is (8,5)
How to determine the image of the point?The point is given as:
D = (8,-5)
The rule of reflection across the x-axis is:
(x,y) -> (x,-y)
So, we have:
D' = (8,5)
Hence, the image of the point after the reflection across the x-axis is (8,5)
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Satoranaing
19100
Points C, D, and G lie on plane X. Points E and F lie on
plane Y.
X
B
A
Y
Intro
E
D
G
F
Which statements are true? Select three options.
There are exactly two planes that contain points A,
B, and F.
There is exactly one plane that contains points E, F,
and B.
The line that can be drawn through points C and G
would lie in plane X.
The line that can be drawn through points E and F
would lie in plane Y.
The only points that can lie on plane Y are points E
and F.
Done
The statements that are true about the given points on the line are; Options B, C and D
How to identify points on a Plane?
A plane is defined by a line and a point outside of it. Meanwhile, a line is defined by two points. Thus, whenever we have 3 non-collinear points, we can define a plane.
Let us check each of the given options;
A) There are exactly two planes that contain points A, B, and F;
If these points are collinear, they can't make a plane and If they are not collinear, they define a plane.
Since we can't make two planes with them, then the statement is false.
B) There is exactly one plane that contains points E, F, and B;
Due to the same reasoning in part A, the statement is true assuming the points are not collinear.
C) The line that can be drawn through points C and G would lie in plane X;
The statement is true because both points C and G lie on plane X, and as such the line that connects them also should lie on the same plane.
D) The line that can be drawn through points E and F would lie in plane Y; Similar to above, this statement is true.
E) The only points that can lie on plane Y are points E and F.
This statement is false because infinite points can lie on a plane.
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what is the slope of y=-9x-8?
The slope of the linear equation, y = -9x - 8 is determined as: -9.
How to Identify the Slope in an Equation?If the equation of a line is given in a slope-intercept form, y = mx + b, the slope value is represented as m.
Thus, given the equation y = -9x - 8, the slope in the linear equation is -9.
Therefore, slope of y = -9x - 8 is: -9.
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wright the follwing in decimlal form:7/17
Answer:
0.41
Step-by-step explanation:
to make a fraction into a decimal you just divide the numerator by the
denominator.
and the numerator is the part of a fraction that is above the line
denominator is at the bottom
so 7 / 17 = 0.41 that means
7/17 in decimal form is 0.41
Hope This Helped
Answer:
7/17 is equal to 41176470588...
Step-by-step explanation:
This is called a never ending decimal. Hope this helps! :)
Evaluate the functions for the given input values.
f(x) = x² + 1
g(x) = 2f(x)
g(-3) =
g(2) =
g(7) =
Answer:
g(-3) = 20
g(2) = 10
g(7) = 100
Step-by-step explanation:
g(x) = 2f(x) tells us that g(x) is two times f(x). Instead of f(x) we can write (x² + 1).
g(x) = 2f(x)
g(x) = 2(x² + 1)
Multiply.
g(x) = 2x² + 2
Now that we have g(x) we just substitute values in the function.
g(-3) = 2(-3)² + 2
= 2(9) + 2
= 18 + 2
= 20
g(2) = 2(2)² + 2
= 2(4) + 2
= 8 + 2
= 10
g(7) = 2(7)² + 2
= 2(49) + 2
= 98 + 2
= 100
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
[tex]x = \dfrac{\sqrt{22}}{2}[/tex]
Step by step explanation:
[tex]\text{This is an isosceles right triangle}~ \left(45^{\circ} - 45^{\circ} - 90^{\circ}\right).\\\\\text{Apply Pythagorean theorem,}\\\\~~~~~~\left(\sqrt{11}\right)^2 =x^2 +x^2 \\\\\implies 11 = 2x^2 \\\\\implies x^2 = \dfrac{11}2\\\\\implies x = \sqrt{\dfrac{11}{2}}\\\\\implies x = \dfrac{\sqrt{11}}{\sqrt 2}\\\\\implies x = \dfrac{\sqrt{11}\sqrt 2}{2}\\\\\implies x = \dfrac{\sqrt{22}}{2}[/tex]
Find the equation to the line below.
Answer:
y=-1/1x
Step-by-step explanation:
First, let's take the slope of a line equation:
y=mx+b
Now, all we have to do is find the slope(m) and the y-intercept(b).
The line intercepts the y axis at 0, so b=0.
Next, find the slope.
The equation to FIND slope is rise/run, so we can solve that:
1/1=1, but since the line goes down, it's negative.
The slope is 1, so m=1.
Now, put that into m.
y=-1x+0, but we don't need 0, so the answer is y=-1x.
A dog eats 3 cans of dog food in 12 days. Write an equation to represent th
proportional relationship. Then find k, the constant of proportionality.
Let c =
Let d =
Equation:
= k•
k=-
The equation to represent the proportional relationship is c = 0.25d
How to determine the equation?Let c = the number of cans
Let d = the number of days
So, we have:
c = kd
Where k represents the constant of proportionality.
From the given parameters, we have:
3 = 12k
Divide both sides by 12
k = 0.25
Substitute k = 0.25 in c = kd
c = 0.25d
Hence, the equation to represent the proportional relationship is c = 0.25d
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area of number sense relates to the quantity of ingredients in recipes?
Measurement is the area of the number sense that has a relationship with the quantity of ingredients used in recipes.
How do you determine the measurements of recipes?The measures of recipes are determined by:
Weighing themCalculating their amount in volume etc.So measure recipes, one can either measure them using artefacts such as cups, spoons, or other kind of containers.
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Nick wants to write a 1,260 page science-fiction novel.
How many pages will Nick need to write each month to finish his novel in 1 year?
1 year = 12 months
Pages to write in 12 months = 1260
Pages to write in 1 month = 1260/12
= 105 pages per month
Which expression is equivalent to -6(-2+2x)?
O −4-12%
O −4+2%
O 4-12%
O 4+12%
Use distributive law
a(b+c)=ab+ac
-6(-2)-6(2x)12-12x12(1-x)Determine the marginal distribution of Gender. In paragraph form, how you calculated the marginal distribution. Include your calculations in your explanation.
The marginal distribution for gender tells you the probability that a randomly selected person taken from this sample is either male or female, regardless of their blood type.
In this case, we have total sample size of 714 people. Of these, 379 are male and 335 are female. Then the marginal probability mass function would be
[tex]\mathrm{Pr}[G = g] = \begin{cases} \dfrac{379}{714} \approx 0.5308 & \text{if }g = \text{male} \\\\ \dfrac{335}{714} \approx 0.4692 & \text{if } g = \text{female} \\\\ 0 & \text{otherwise} \end{cases}[/tex]
where G is a random variable taking on one of two values (male or female).
Look at the picture pls don't answer in pictures
please answer thank you!
Answer:
1. Median:70, Range:12, IQR: 8
2. Median: 59, Range: 48, IQR: 31
Step-by-step explanation:
Hello, the answers I have are just approximations because I can not tell the specific number in between each mark.
The median is the middle vertical line of the box. The range is you maximum subtracted from your minimum. You can find these at the lines that extend out of the box. The interquartile range is the ends of the box subtracted from each other, meaning quartile 3 subtracted from quartile 1.
Hope this helps.
P and q are two arithmetic sequences. The first four terms of sequence P are 2,6,10,14. The nth term of sequence Q is 145-3n. The rth term of sequence P has the same values as the rth term of sequence Q. Work out the value of r.
Answer:
r = 21
Step-by-step explanation:
nth of sequence P :
[tex]T_{n} = 4n -2[/tex]
[tex]r^{th} term[/tex] : [tex]4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21[/tex]
Stock for the jones corporation starts with a value of $39.63 and gains $0.30 in value per month. stock for the overton company starts with a value of $24.45 and gains $0.80 in value per month. when are the two stocks nearly equal in value?
Using linear functions, it is found that the two stocks will be nearly equal in 30 months.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Each of the stocks can be modeled by these following functions:
S1(t) = 39.63 + 0.3t.S2(t) = 24.45 + 0.8t.They will be equal when:
S1(t) = S2(t).
Hence:
39.63 + 0.3t = 24.45 + 0.8t
0.5t = 15.18
t = 15.18/0.5
t = 30.36.
Rounding, approximately 30 months.
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A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the
translation?
OT₁-9(x, y)
OT_1-9(x, y)
OT9, 1(x, y)
OT_9,-1(x, y)
Function rule describes the translation OT_1-9(x, y)
What is translation?A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation.
A square on a coordinate plane is translated 9 units down and 1 unit to the right.
Let's (x, y) be the coordinate.
where x be the horizontal move and y be the vertical move.
As, it is translated 9 units down and 1 unit right.
then
(x, y) = (x +1, y - 9)
and the translation be
(x, y ) = (x+1, y-9)
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Which factor pair of 36 has a sum that is - 20?
The factor pair of 36 whose sum is -20 are -2 and -18.
What are Factors?Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.
For example, 10 = 2 × 5
So we can say that 2 and 5 are factors of 10.
Let x and y be the two factors of the number 36.
Then we have,
x × y = 36
Write the factors of the number 36 as the product.
36 = 1 × 36, sum = 1 + 36 = 37
36 = -1 × -36, sum = -1 - 36 = -37
36 = 2 × 18, sum = 2 + 18 = 20
36 = -2 × -18, sum = -2 - 18 = -20
Hence the factor pair of 36 whose sum is -20 are -2 and -18.
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