The sequence that can be defined by the recursive formula is (c) 4, 2.75, 1.5...
How to determine the elements of the recursive definition of f?The function definition is given as
f(1) = 4
f(n + 1) = f(n) - 1.25 for n ≥ 1
Set n = 1
So, we have the following representation
f(1 + 1) = f(1) - 1.25
This gives
f(2) = f(1) - 1.25
So, we have
f(2) = 4 - 1.25 = 2.75
Set n = 2
So, we have the following representation
f(2 + 1) = f(2) - 1.25
This gives
f(3) = f(2) - 1.25
So, we have
f(3) = 2.75 - 1.25 = 1.5
So, we have
4, 2.75, 1.5...
The sequence that matches 2.75, 1.5... in the options is (c) 4, 2.75, 1.5...
Hence, the sequence is (c) 4, 2.75, 1.5...
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Answer:
C
Step-by-step explanation:
Because i got it right
What is the diameter of the small volcano "Pico" at the \( 2000 \mathrm{~m} \) isoline? (meters) Remember \( 1 \mathrm{~km}=1000 \mathrm{~m} \)
The diameter of the small volcano 'Pico' would be = 8km
What is an isoline of a map?An isoline is defined as the line found on a map that has constant value of either distance, temperature or rainfall.
The isoline that is used in the given map above = 2000m.
The number of lines that surrounds the pico volcano = 4
Therefore the diameter of the volcano = 2000×4 = 8000m
But 1000m = 1km
8000m = 8km
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The value b is:
12.5
9.5
6.5
None of the choices are correct
D) none of these choices are correct
the banana is 8 inches long how many 0.4 inch slices can be cut from the banana
Answer:20
Step-by-step explanation:
6x-2y=10 slope intercept form answer?
the question is in the image
For the given opens down parabola, ordered pair of the vertex (h, k) = (1, -4) , the maximum value of the parabola is y = -4.
As given,
Graph of parabola shows it open down parabola.
Vertex is the highest point on the graph of parabola.
it is known as the maximum value.
Let (h, k) be the vertex of the given parabola.
From the graph value of the vertex is equal to :
(h ,k)=(1, -4)
h represents the x-coordinate.
k represents the y-coordinate.
y-coordinate represents the maximum value of the parabola.
y =-4 is the maximum value.
Therefore, for the given opens down parabola, ordered pair of the vertex (h, k) = (1, -4) , the maximum value of the parabola is y = -4.
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Why is a sample used more often than a population? Choose the correct answer below. Inferences cannot be made when using the population. It is usually impossible to count the entire population. Sample statistics are more accurate than the population parameter. All samples are representative of a population, so the population does not need to be used.
Sample is used more often than a population as B. It is usually impossible to count the entire population
Why is sampling used?In many cases, it is not practical or possible to gather data from every member of a population. For example, imagine trying to survey the purchasing habits of every single adult in the United States. It would be incredibly time-consuming, costly, and difficult to reach everyone.
Instead, researchers use a sample, which is a smaller group of individuals chosen from the population. By analyzing the data from a sample, researchers can make inferences about the population as a whole.
Therefore, the correct option is B.
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How much is nash459 worth
Answer:a lot
Step-by-step explanation:
Nash+459 = 100000000000000000
How do I k1II myseIf painIessly? Please don’t try to make me feel better, i’ve heard a lot of phrases, it does not help. I want to get out of here, out of this worId.
Answer:
Learn to accept love. Or talk to me. I've dealt with this before, and I know I might not be the most reassuring, and maybe you don't care about me one single bit, but at least try. Despite what you think, there's got to be someone that wants you to remain alive.
Fred is planning a fundraiser where he will collect $4.50 fir every mile he runs.
\( \frac{5}{12}\)
guys help I have to turn it to a decimal point solve this without a calculator
Answer:
About 0.417
Step-by-step explanation:
If a modeling method is described as a black box, what does this indicate? a. The models contain square and cube terms. b. Functions are linear. c. In a black box model, the equation that evolves is not interpretable. d. In a black box model, the equation that evolves is interpretable.
The choice c is correct When a modeling technique is referred to as a "black box," it means that the equation that develops within the model cannot be understood.
A model known as a "black box" is one in which the model's internal workings or logic are not readily apparent to the user. All in all, the model takes in data sources and delivers yields, yet the middle of the road steps or computations included are stowed away from the client.
This absence of interpretability makes it trying to comprehend how the model shows up at its expectations or choices. In complex machine learning algorithms like neural networks, where accuracy is prioritized over understanding the underlying mechanisms, black box models are frequently utilized.
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#16
Question 16 Solve the equation. 45 - 3x = 1 256 O 1) 764 O {3} O {128) (-3) (
The value of x that satisfies the equation 45 - 3x = 1256 is approximately -403.6666667.
To solve the equation 45 - 3x = 1256, we want to isolate the variable x on one side of the equation. This can be done by performing a series of mathematical operations that maintain the equality of the equation.
Start by combining like terms on the left side of the equation. The constant term, 45, remains as it is, and we have -3x on the left side. The equation becomes:
-3x + 45 = 1256
To isolate the variable x, we need to move the constant term to the right side of the equation. Since the constant term is positive, we'll subtract 45 from both sides of the equation to eliminate it from the left side:
-3x + 45 - 45 = 1256 - 45
Simplifying, we have:
-3x = 1211
To solve for x, we want to isolate the variable on one side of the equation. Since the variable x is currently being multiplied by -3, we can isolate it by dividing both sides of the equation by -3:
(-3x) / -3 = 1211 / -3
The -3 on the left side cancels out, leaving us with:
x = -403.6666667
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find the value of x and find the value of the angle with the star in it
Andrew is an avid archer. He launches an arrow that takes a parabolic path.
The equation of the height of the arrow with respect to time is
y = -4.9x2 + 48x, where y is the height of the arrow in meters above
Andrew's bow and x is the time in seconds since Andrew shot the arrow.
Find how long it takes the arrow to come back to a height even with his bow
height.
Answer:
9.7959 sec
Step-by-step explanation:
For the arrow to reach the same height as the bow again, - 4.9x^2+48x=0, 48=4.9x, x=48/4.9=9.7959
The time arrow take to come back to a height even with his bow height is 9.79 seconds.
We have an equation of the height of the arrow with respect to time -\(y = -4.9x^{2} +48x\) where y is the height of the arrow in meters above Andrew's bow and x is the time in seconds since Andrew shot the arrow.
We have to find out - how long it takes the arrow to come back to a height even with his bow height.
The motion of arrow in the above situation is an example of which type of motion?It is an example of two - dimensional Projectile motion.
We have the function that depicts the variation of height of the arrow with respect to time given by -
\(y=-4.9x^{2} +48x\)
To find the time taken by the arrow to come to a height even with his bow height, we should equate y = 0.
\(y=-4.9x^{2} +48x=0\\-4.9x(x-9.79)=0\\-4.9x=0\;\;\;and\;\;\;x-9.79=0\\x =0\;\;\;and\;\;\;x=9.79\)
Time cannot be 0, hence the time arrow take to come back to a height even with his bow height is 9.79 seconds.
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Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below.
Step
Ren’s work
Step 1
Two-thirds x less-than 36
Step 2
x less-than 54
Step 3
A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shaded.
Where, if any, did Ren first make a mistake in his work?
Step 1
Step 2
Step 3
No mistake found
Answer: Ren first make a mistake in his work at step 1
Step-by-step explanation:
Step 1 : 2x/3 < 36 Step 2 : x < 54Step 3 :
A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shadedMistake is in 1st step it self which is cascaded in further stepsCorrect would be 2x/3 > 36 as more than 36 employees stated their preference hence 2x/3 must be greater than 36
Answer: Its a correct me if i'm wrong
Step-by-step explanation:
Which number is greater 17×10^8 4×10^8
Answer:
17×10^8 is greater
Step-by-step explanation:
The expontent comes first which gives you
1000000000 then you multiply that with 17 to get
1700000000
The greater number in 17 × 10⁸ and 4 × 10⁸ is,
⇒ 17 × 10⁸
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The numbers are,
⇒ 17 × 10⁸ and 4 × 10⁸
Now, We can write the numbers as;
⇒ 17 × 10⁸
⇒ 17,00,000,000
⇒ 4 × 10⁸
⇒ 4,00,000,000
Thus, The greater number in 17 × 10⁸ and 4 × 10⁸ is,
⇒ 17 × 10⁸
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Will make brainiest if 2 people answer :3
Answer:
1.6
Step-by-step explanation:
12.8/8 = 1.6
15.2/9.5 = 1.6
Scale factor = 1.6
suppose that, in the base period, a college student buys 20 gallons of gasoline at $2 per gallon, 2 mugs for $13 each, and 4 movie tickets for $7 each. in the next month, the price of gasoline is $2.25 per gallon, mugs cost $12.50 each, and the price of a movie ticket is $7.50. the change in the price level from the first to the second month is:
The change in the price level from the first to the second month is 106.4
What is meant by price index?Price index: Price index, measure of relative price changes, consisting of a series of numbers arranged so that a comparison between the values for any two periods or places will show the average change in prices between periods or the average difference in prices between places.
A college student purchases 4 movie tickets for $7 each, 2 CDs for $13 each, and 20 gallons of gasoline at $2 a gallon during the base period.
Gas will cost $2.25 per gallon in the upcoming month, CDs will cost $12.50 each, and cinema tickets will cost $7.50
The price index
=(price in current year/price in last year) x 100
=100/94 x 100
=106.38 or 106.4
The change in the price level from the first to the second month is 106.4
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What is the midpoint of the segment shown below?1010-10(-8,-7)(-7,-8) -10- A. (-15, -15)B. (-15, -15) C. (-15, -15)D. (-15, -15)
Given
The line segment with end points (-8, -7), (-7, -8).
To find:
The midpoint of the given segment.
Explanation:
It is given that,
The line segment with end points (-8, -7), (-7, -8).
That implies,
\(\begin{gathered} Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ =(\frac{-8+(-7)}{2},\frac{-7+(-8)}{2}) \\ =(\frac{-8-7}{2},\frac{-7-8}{2}) \\ =(-\frac{15}{2},-\frac{15}{2}) \end{gathered}\)Hence, the midpoint of the line segment is (-15/2, -15/2).
what is (−7)(−2)+(−15÷3)
How Do You Convert Circumference to Diameter?
Answer:
D = \(\frac{C}{\pi }\)
Step-by-step explanation:
C = 2πr
r = D/2 (substitute this in for r in the equation above)
C = 2π(D/2) (now solve for D)
D = (2C) / (2π) = C/π
One can convert the circumference of a circle to it's diameter by using the formula d = c/π.
What is a circle?A circle is a simple round shape with no corners or segments. A geometrically closed curved shape. The points of the circle are at a constant distance from the center.
Segments of circle:
CenterRadius, half of diameterDiameter, longest chord that passes through centerCircumference, perimeter of circleArcSectorSemi-Circle, half of the circleConversion of circumference to diameter:
Circumference of circle = 2πr
C = πd (as, 2r=d)
⇒ C/π=d
where, r = radius if the circle
C = circumference of the circle
d = diameter of the circle
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3. prove that the least upper bound of a nonempty subset s of r, if it exists, is unique.
The least upper bound (LUB) of a nonempty subset s of the real numbers (r) is a number m such that:
1. m is an upper bound of s, i.e., m ≥ x for all x ∈ s;
2. m is the least upper bound, i.e., if u is any upper bound of s, then u ≥ m.
To prove that the LUB of a nonempty subset s of r is unique, we need to show that if m and n are both LUBs of s, then m = n.
Assume that m and n are both LUBs of s. Since m is a LUB, we have that:
1. m is an upper bound of s, i.e., m ≥ x for all x ∈ s;
2. m is the least upper bound, i.e., if u is any upper bound of s, then u ≥ m.
Similarly, since n is a LUB, we have that:
1. n is an upper bound of s, i.e., n ≥ x for all x ∈ s;
2. n is the least upper bound, i.e., if u is any upper bound of s, then u ≥ n.
Now, suppose for contradiction that m ≠ n. Without loss of generality, assume that m < n. Since m is an upper bound of s, we have that m < n is not an upper bound of s. Therefore, there exists some element x in s such that m < x ≤ n. But this contradicts the fact that n is an upper bound of s. Therefore, our assumption that m ≠ n must be false, and we conclude that m = n.
We have shown that if m and n are both LUBs of a nonempty subset s of r, then m = n. Therefore, the LUB of s, if it exists, is unique.
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3m + 8 + m = 36 which can be substituted for m to make this equation true?
Answer:
m = 7
Step-by-step explanation:
3m + 8 + m = 36 , that is
4m + 8 = 36 ( subtract 8 from both sides )
4m = 28 ( divide both sides by 4 )
m = 7
write as a numeral in simplest form:(6x1000)+(4x100)+(6x1)
Which pair of triangles can be proven congruent by SAS?
Answer:
i don't know
Step-by-step explanation:
i am lower grade srry
Each month, Nadeem keeps track of the number of times he visits the library and the number of books he checks out Is there a correlation
you model his data with a linear equation? Is there a causal relationship?
We may draw a scatterplot of the data and compute the correlation coefficient to see whether there is a relationship between Nadeem's visits to the library and the number of books he checks out. Linear Equation = Y =mx+c. Option A is Correct.
The degree and direction of the linear link between two variables are measured by the correlation coefficient. If the correlation is positive, it suggests that if one variable rises, the other variable rises as well.
If there is a correlation, linear regression may be used to describe the data with a linear equation.
Y= mx+c
Based on how frequently Nadeem visits the library, we may use this equation to anticipate how many books he will borrow. Correlation does not always indicate cause, though. Option A is Correct.
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Correct Question:
Each month, Nadeem keeps track of the number of times he visits the library and the number of books he checks out Is there a correlation. you model his data with a linear equation? Is there a causal relationship?
A. There is a positive correlation and no causal relationship.
B. There is a negative correlation and no casual relationship.
C. There is a casual relationship but no positive correlation.
D. There is neither a correlation nor a casual relationship.
The probability that a marksman will hit a target each time he shoots is 0. 89. If he fires 15 times, what is the probability that he hits the target at most 13 times?.
Answer:
Step-by-step explanation:
Correct option is A)
What is the sum of the series? 38 Σ j=1 ( j3 − 25j )
475,684
512,735
530,556
548,131
Answer:
530, 556 C.
Step-by-step explanation:
Just did it
Answer:
c
Step-by-step explanation:
Find the values of a and b. The diagram is not drawn to scale.
Answer:
36
Step-by-step explanation:
Same side
Answer:
a = 144°, b = 67°Step-by-step explanation:
a is supplementary with 36 and b is supplementary with 113. Same side interior angles.
Supplementary angles sum to 180°
a = 180 - 36 = 144b = 180 - 113 = 67Determine the slope of a line that passes through (1,9) and (-2,3).
Answer:
the answer is m = 2
Step-by-step explanation:
Use Symbolab I use it all the time it gives correct answer and it gives good explanations (this isn't a sponsor I've just been using it since the 6th grade lol)