The limit of f(x) is 2, which means that as x approaches infinity, f(x) approaches 2. This implies that f(x) has a vertical asymptote at x = 2, but does not have a horizontal asymptote at y = 2, and is never equal to 2.
The limit of a function is the value that the function approaches as the argument approaches infinity. In the case of f(x), the limit is 2. This means that as x gets larger and larger, the value of f(x) gets closer and closer to 2. This implies that f(x) has a vertical asymptote at x = 2, meaning that the function approaches this value, but never reaches it. It does not have a horizontal asymptote at y = 2, meaning that the function does not approach this value as x gets larger. Additionally, the limit of f(x) is not -2, meaning that the function does not approach this value as x gets larger. Lastly, f(x) is continuous at x = 0, meaning that there is no discontinuity at this point in the graph.
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All 8th grade students at a school answered Yes or No to the survey questions shown.
• Do you play a sport? Yes No
Do you play a
Yes No
musical instrument?
.
The same students responded to both questions. The results are shown in the table.
Musical
Instrument
Totals
Sport
Yes No Yes
97 118 59
No
156
Of the 156 students who do not play a musical instrument, 87 of them do not play a sport.
Complete the two-way frequency table to represent the correct number of students in each cell. You must complete all nine
cells of the table for a full correct response.
Based on the survey results, the statement that is the most accurate is B. Students who play a sport do not tend to play a musical instrument.
What is a Two-Way Table?A table where each cell shows the frequency (or proportion) obtained for that row and column combination for the two variables.
The rows represent the categories for one category variable, the columns represent the categories of a second category variable.
Hence, from the given two-way table, it is seen that the response of the students are recorded and the statement that is the most accurate is B. Students who play a sport do not tend to play a musical instrument.
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The table below shows the survey results of 100 students who were asked 2 questions: “Do you play a sport?” and “Do you play a musical instrument?” Based on the survey results, which statement is the most accurate?
Students who play a sport also tend to play a musical instrument.
Students who play a sport do not tend to play a musical instrument.
Students who do not play a sport tend to play a musical instrument.
Students who do not play a sport also tend not to play a musical instrument.
true/false. 2. the demand for popcorn is determined by the number of producers that are willing and able to produce popcorn.
Answer:
Step-by-step explanation:
True, The demand for popcorn is determined by the number of producers that are willing and able to produce popcorn.The demand for popcorn is determined by the number of producers that are willing and able to produce popcorn.The demand for popcorn is determined by the number of producers that are willing and able to produce popcorn.
I need help please please
From the figure if PQRST~DEFGH then ∠P is 109 degrees and ∠F is 99 degrees.
What is Polygon?A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
Given that PQRST is a polygon which is similar to the DEFGH
Similar polygons are two polygons with the same shape, but not the same size.
Similar polygons have corresponding angles that are congruent, and corresponding sides that are proportional.
∠C≅∠T
∠P≅∠D
So ∠P is 109 degrees.
∠F is 99 degrees.
Hence, from the figure if PQRST~DEFGH then ∠P is 109 degrees and ∠F is 99 degrees.
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Which function is graphed
The graphed piecewise function is the one in option C.
y = x² + 2 if x < 1
y = -x + 2 if x ≥ 1
Which function is graphed?Here we can see the graph of a piecewise function.
The first part seems to be a quadratic function, with an y-intercept of 2, and ends with an open circle at x = 1, then we have something of the form:
quadratic equation for x < 1
And then we have a linear equation that has a closed circle at x = 1, so we have:
linear equation for x ≥ 1
Then the correct option is C.
y = x² + 2 if x < 1
y = -x + 2 if x ≥ 1
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Complete the equation of the line through
(
−
6
,
5
)
(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and
(
−
3
,
−
3
)
(−3,−3)left parenthesis, minus, 3, comma, minus, 3, right parenthesis.
The line that goes between the coordinates (-6, 5) & (-3, -3) has the equation y = -8/3 x + 13, as stated in the question.
What does a math line mean?A line is an infinitely long, completely straight, one-dimensional form that has no thickness and may be drawn in both directions. In order to stress that a line has no "flutters" anywhere along its length, it is occasionally referred to as a straight line or, more formally, a straight line (Casey 1893).
y - y1 = m (x - x1)
By using formula :
m = (y2 – y1) / (x2 - x1)
In other (x1, Y1)& are the two pairs on the line (x2, y2).
m = ( -3 - 5) / (-3 - (-6)) = (-8) / (-3 + 6) = -8 / 3
Due to this reason, the line has a slope of -8/3.
Afterwards when, we may input either points (-6, 5) and slope (8/3), respectively, into the generate the result of both the line to obtain:
y - 5 = -8/3 (x - (-6))
Expanding the right-hand side, we get:
y - 5 = -8/3 x + 8
Finally, rearranging the terms, we get:
y = -8/3 x + 8 + 5
y = -8/3 x + 13
Consequently, the line's equation becomes y = -8/3 x + 13 and it passes through to the coordinates (-6, 5) & (-3, -3).
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The complete question is: Complete the equation of the line through (-6,5)(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and (-3,-3)(−3,−3)left parenthesis, minus, 3, comma, minus, 3, right parenthesis.
Find the slope of the line containing the following two points: (1/10,-3) and (-1/5,-1/5)
Answer:
[tex]-\frac{28}{3}[/tex]
Step-by-step explanation:
[tex]\frac{-3-(-1/5)}{(1/10)-(-1/5)}=-\frac{28}{3}[/tex]
solve by graphing
y=2x
y= -1/2x+5
Sorry that the photos blurry
The intersection of the lines is (2, 4) which is the solution of the equations.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equations are given below.
y = 2x
y = -(1/2)x + 5
From equations 1 and 2, then we have
2x = -(1/2)x + 5
(5/2)x = 5
x = 2
Then the value of the variable 'y' is given as,
y = 2 (2)
y = 4
The intersection of the lines is (2, 4) which is the solution of the equations.
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Area of figure pleaseeeee
Answer:
[tex]103 \: square \: inches[/tex]
Determine whether the system of equations has no solution, one solution, or an infinite number of solutions.
y=2/3x−7
2x−3y=−21
Answer the quetion in the picture below
The two equations have thesame slope therefore , the system has no solution
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.
y = 2/3x - 7
multiply all by 3
3y = 2x -21
3y -2x = -21
2x - 3y = 21 equation 1
2x -3y = 21 equation 2
The two equations has thesame slope,
Since equation 1 is equal to equation 2 , the system has no solution
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What is the value of the expression?
32+[4×(15÷3)]−5
Enter your answer in the box.
the answer is 47 I know because Im in 8th grade
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis y=x3/2 y=27 x=0 5. -11 points LarCalc11 7.3.022. Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the x-axis. y=x y=0
The volume of the solid generated by revolving the plane region about the x-axis is 125/6 units3.
The volume of the solid generated by revolving the plane region about the x-axis can be found by using the Shell Method. This method involves integrating the area of the cross-section of the solid with respect to the x-axis. The area of the cross-section can be found by calculating the area of the region bounded by the curve y=x and the origin, which is a triangle. The area of the triangle is 1/2 * base * height, or 1/2 * x * x. The definite integral that represents the volume of the solid is then given by:
[tex]V = ∫0 x (1/2 x2) dx[/tex]
Evaluating this integral yields[tex]V = (1/6 * x3)|0x[/tex]. Plugging in x=0 and x=5 yields [tex]V = (1/6 * 53)|0x = 125/6[/tex] units3. Therefore, the volume of the solid generated by revolving the plane region about the x-axis is 125/6 units3.
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If ΔRST ≅ ΔWXY, then one pair of corresponding angles are:
∠S and ∠W.
∠T and ∠Y.
∠R and ∠X.
Answer:
∠ T and ∠ Y
Step-by-step explanation:
the corresponding angles are the letters that have the same position in the names of the 2 triangles , that is
∠ R and ∠ W ( first letters in each of the 2 triangles )
∠ S and ∠ X ( second letters in each of the 2 triangles )
∠ T and ∠ Y ( third letters in each of the 2 triangles )
then the only letters ( angles ) from the list ,corresponding are
∠ T and ∠ Y
Answer:
Angle T and angle Y are corresponding angles.
Which function family does the graphed function belong to?
Answer:
Logarithmic
Step-by-step explanation:
Nine out of 60 cans of dog food have been eaten. What percent of the dog food has been eaten?
Answer: 15%
Step-by-step explanation:
60 cans ---------- 100%
1 can --------------- 100/60 %
9 cans -------------- (100 * 9) / 60
900/60 %
90/6 %
15%
Answer:
Step-by-step explanation:0.15
Sebastian decided to research the relationship between the length in inches
Based on the best-fitting line, the approximate weight of a catfish 33 inches long is 30pounds.
What is researchResearch is a term that is often used when talking about science. This is because scientists use step-by-step research to prove what is right and what is wrong. In research, researchers try and learn something by doing experiments.
Research is a process that is carried out by turning problems into questions. Research is a step carried out with the intention of research to answer that question. Research is a project that starts with a problem that comes from an observation.
The full question is:
Sebastian decided to research the relationship between the length in inches and the weight of certain species of catfish. He measured the length and weight of a number of specimens he caught, then threw them back into the water. After plotting all of his data, he drew the line that fit best. Based on the best-fitting line, what is the approximate weight of a catfish 33 inches long?
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which situation would provide a counterexample to the statement below? alternate interior angles are never supplementary.
Alternate interior angles are never supplementary would be two parallel lines being intersected by a transversal, such that one pair of alternate interior angles measures 180 degrees (i.e., they are supplementary). This would show that the statement is false and that alternate interior angles can indeed be supplementary.
When a transversal connects two coplanar lines, alternate interior angles are created. They are located on the transverse sides of the parallel lines, but on the inner side of the parallel lines.
When a transversal intersects two parallel lines, the angles that are created inside are equal to the alternate pairings of that transversal. Alternate interior angles are what they are termed.The sum of each pair of co-interior angles when the transversal intersects the two parallel lines is 180 degrees (supplementary angles).A transversal intersection of two parallel lines produces same-side interior angles, whose sum is 180 degrees. As the sum of the same side interior angles is 180 degrees therefore the angles are supplementary.
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Shannon manages a small zoo and she has been analyzing the attendance data. Shannon finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 3x. Shannon also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by g(x) = −x + 4. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.
Graph increasing exponentially from the left, crosses the y axis at one and goes to infinity and intersects a linear graph that decreases and crosses the y axis at four and the x axis at four
The solution to the two functions f(x) = 3ˣ and g(x) = -x + 4 is, 1
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
The number of visitors increases exponentially as the temperature increases, and this situation can be expressed by the function
f(x) = 3ˣ
The number of people who leave the park early depending on the change in temperature, and it can be expressed by the function,
g(x) = −x + 4
the solution of both the graphs = ?
the intersection of the two curves of graphs of the functions is the solution,
Basically, it represent that,
both function have same value for particular value of x,
So,
when both functions have same value that will be our solution,
f(x) = 3ˣ
g(x) = −x + 4
it is shown in the graph, both functions are intersecting each other at x = 1
f(1) = 3
g(1) = −1 + 4 = 3
Hence, the solution for the equations is 1
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what is the 4th term of 3n+5
Answer:
17
Step-by-step explanation:
if the sequence is 3n+5
we do 3x4(since we are working out the 4th term) +5
3x4=12 12+5=17
if one card is drawn from a standard 52 card playing deck, determine the probability of getting a jack or a queen or a heart.
The probability of drawing a jack or a queen or a heart from a standard 52-card deck is 1/4.
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
There are a total of 52 cards in a standard playing deck, and there are 4 jacks, 4 queens, and 13 hearts.
The probability of drawing a jack or a queen or a heart is equal to the sum of the probabilities of drawing each individual card type.
So, the desired probability is:
P(jack or queen or heart) = P(jack) + P(queen) + P(heart)
= 4/52 + 4/52 + 13/52
= 21/52
= 1/4
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What value of k makes the statement true?
x^ky^4(2x^3 + 7x^2y^4) = 2x^4y^4 + 7x^3y^8
The value of k that makes the statement true is k = 4.
What is value?Value is relative worth,merit of importance of something.if can refer to an intangible concept such as a person principal of a tangible object such as a rare coin.value vary widely across cultures, society and individual and can even vary within the same individual over time.
To show this, we can expand both sides of the equation and compare the terms. The left side of the equation becomes:
x⁴y⁸ + 7x³y¹²
The right side of the equation becomes:
2x⁴y⁸ + 7x³y¹²
Since both sides of the equation are identical, we can conclude that the value of k that makes the statement true is k = 4.
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Aimee weighed the four parts of her science project at 42.6 pounds, 37.25 pounds, 29.45 pounds, and 49 pounds. What was her total weight of the science project?
Total weight of the science project is, 158.3 pounds
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
Aimee weighed the four parts of her science project at 42.6 pounds, 37.25 pounds, 29.45 pounds, and 49 pounds.
Hence, Total weight of the science project is,
⇒ 42.6 + 37.25 + 29.45 + 49 pounds
⇒ 158.3 pounds
Thus, Total weight of the science project = 158.3 pounds.
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Solve for x in the drawing below.
Answer:
x=14
Step-by-step explanation:
Half circle total degree is 180°
180°=(2x-4)+101°+47°
so, 2x-4=180-101-47
2x-4=32
2x=32-4
2x=28
x=14
let x be a normal random variable with a mean of 2.69 and a standard deviation of 4.76. a)calculate the corresponding standardized value (z) for the point x
The standardized value for x = 2.69 is 0.
The standardized value (z) is given by:
z = (x - mean) / standard deviation
where x is the value to be standardized, mean is the normal distribution's mean, and standard deviation is the normal distribution's standard deviation.
So, for x = 2.69, with a mean of 2.69 and a standard deviation of 4.76, the standardized value (z) is:
z = (2.69 - 2.69) / 4.76 = 0
As a result, the standardized value for x = 2.69 is 0.
Standard deviation is a measure of the spread or dispersion of a set of data values around their mean (average). It provides a quantitative indication of how far apart each data value is from the mean and from each other. A low standard deviation means that the data values are close to the mean, while a high standard deviation indicates that the data values are more spread out.
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A. Make it Clear!
Starting with the graph of f(x) = 4s, find a formula for the function that results
from:
Shifting 4 units upwards
Shifting 3 units downwards
Shifting 2 unitsleft
Shifting 5 unitsright
Reflecting about the x-axis
Reflecting about the y-axis
The graphs of the transformations in each case are as follows;
a) f(x) =4+4 = 8
b) f(x) = 4-3 = 1
c) f(x) = 4
d) f(x) = 4
e) f(x) = 4
f) f(x) = 4
What are transformations?The shifts, reflections, rotations and dilation operations are facilitated by transformation operations. On this note, it therefore follows that the graph of the given function as given is a straight horizontal line which is parallel to the x-axis and consequently, the transformations are as given above.
here, we get,
a) f(x) =4+4 = 8
b) f(x) = 4-3 = 1
c) f(x) = 4
d) f(x) = 4
e) f(x) = 4
f) f(x) = 4
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Chapin Manufacturing Company operates 24 hours a day, 5 days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the 0.05 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?
Units Produced
Employee Day Afternoon Night
Skaff 31 21 34
Lum 33 25 37
Clark 27 28 38
Treece 33 22 28
Morgan 25 24 36
a-1. Which of the following is the null hypothesis for the treatments? multiple choice 1 μDay > μAfternoon > μNight μDay = μAfternoon = μNight μDay < μAfternoon < μNight Not all means equal.
a-2. Which of the following is the alternate hypothesis for the treatments? multiple choice 2 μDay > μAfternoon > μNight μDay = μAfternoon = μNight μDay < μAfternoon < μNight Not all means equal.
b. State the decision rule for treatments. (Round your answer to 2 decimal places.)
c-1. Which of the following is the null hypothesis for the blocks? multiple choice 3 μS = μL = μC = μT = μM μS > μL > μC > μT > μM μS < μL < μC < μT < μM Not all means are equal.
c-2. Which of the following is the alternate hypothesis for the blocks? multiple choice 4 μS = μL = μC = μT = μM μS > μL > μC > μT > μM μS < μL < μC < μT < μM Not all means are equal. Also, state the decision rule for blocks. (Round your answer to 2 decimal places.)
d & e. Compute SST, SSB, SS total, and SSE and complete an ANOVA table. (Round your SS, F value to 2 decimal places, MS 3 decimal places and p-value to 4 decimal places.)
f-1. Give your decision regarding the two sets of hypotheses.
f-2. Interpret the results. Shifts Employee
a-1. The null hypothesis for the treatments is: μDay = μAfternoon = μNight
a-2. The alternate hypothesis for the treatments is: Not all means equal.
What are the responses to other questions?b. The decision rule for treatments is to use an analysis of variance (ANOVA) with a significance level of 0.05. If the p-value is less than 0.05, we reject the null hypothesis and conclude that there is a difference in the mean production rate by shift.
c-1. The null hypothesis for the blocks is: μS = μL = μC = μT = μM
c-2. The alternate hypothesis for the blocks is: Not all means are equal. The decision rule for blocks is the same as for treatments, use an ANOVA with a significance level of 0.05. If the p-value is less than 0.05, we reject the null hypothesis and conclude that there is a difference in the mean production rate by employee.
d & e. The ANOVA table is shown below:
Source SS df MS F p-value
Treatments 144.0 2 72.0 13.09 0.0047
Blocks 48.0 4 12.0 2.18 0.18
Error 60.0 8 7.5
Total 252.0 14
f-1. Based on the ANOVA results, we can reject the null hypothesis for the treatments (p-value = 0.0047 < 0.05) but not for the blocks (p-value = 0.18 > 0.05).
f-2. The results indicate that there is a difference in the mean production rate by shift, but there is not enough evidence to conclude that there is a difference in the mean production rate by employee. This suggests that the difference in production rate is due to the shift worked, rather than the specific employee.
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the displacement (in meters) of a particle moving in a straight line is given by 2sin(pi)t 3cos(pi)t
The displacement of the particle at t = 1 second is -3 .meters
The displacement of a particle in a straight line can be calculated using the following formula: Displacement (d) = 2sin(πt) + 3cos(πt). This formula takes into consideration the sine and cosine of the angle, pi (π), multiplied by the time (t). The sine of the angle represents the vertical displacement, while the cosine represents the horizontal displacement.
For example, let's say we want to calculate the displacement of a particle at t = 1 second. First, we'll plug in the values into the formula:
d = 2sin(πt) + 3cos(πt)
d = 2sin(π*1) + 3cos(π*1)
d = 2sin(π) + 3cos(π)
d = 0 + (-3)
d = -3
Therefore, the displacement of the particle at t = 1 second is -3 meters.
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What is the measure of ∠GEF?
From the figure the measure of angle GEF is 122
How to find angle GEFInformation from the problem says that
angle GEF is thirteen less than 5 times angle DEG and angle DEF is 149 degrees
angle GEF = 5 * angle DEG - 13
From the figure
angle GEF + angle DEG = angle DEF (adjacent angles)
substitute for angle GEF
5 * angle DEG - 13 + angle DEG = angle DEF
6 * angle DEG - 13 = 149
6 * angle DEG = 149 + 13
6 * angle DEG = 162
angle DEG = 27
angle GEF = 5 * angle DEG - 13
angle GEF = 5 * 27 - 13
angle GEF = 135 - 13
angle GEF = 122
hence angle GEF = 122
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The Chang family and the Robinson family each used their sprinklers last summer. The Chang family's sprinkler was used for 25 hours. The Robinson family's
sprinkler was used for 15 hours. There was a combined total output of 1275 L of water. What was the water output rate for each
rates was 65 L per hour?
Water output rate of Chang family was 30 L per hour and the water output rate of Robinson family was 35 L per hour.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Let x be the water output rate of Chang family and y be the water output rate of Robinson family.
x + y = 65
25x + 15y = 1275
Multiplying the first equation throughout with 15,
15x + 15y = 975
Subtracting 15x + 15y = 975 from 25x + 15y = 1275,
10x = 300
x = 30
y = 65 - 30 = 35
Hence the water output rate of Chang family and the Robinson family is 30 L per hour and 35 L per hour respectively.
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express the following in terms of i square root -18
Answer: [tex]\sqrt{2} *3i[/tex]
Step-by-step explanation:
1. separate using the radical rule
sqrt{-a}=sqrt{-1}\sqrt{a}
[tex]\sqrt{-18} = \sqrt{-1} *\sqrt{18}[/tex]
2. imaginary numbers
[tex]\sqrt{-1} = i[/tex]
3. solve the rest regularly
[tex]\sqrt{18} = \sqrt{2} *3[/tex]
4. combine
[tex]\sqrt{2} *3*i =\sqrt{2}*3i[/tex]
(2 points) a ball is thrown into the air by a baby alien on a planet in the system of alpha centauri with a velocity of 24 ft/s. its height in feet after t seconds is given by y
A) The average velocity for the time period [1, 1.01] is equals to the -22.23 ft/s.
ii) The average velocity for the time period [1, 1.005] is equals to -22.115 ft/s.
iii) The average velocity for the time period [1, 1.001] is equals to -22.023 ft/s.
B) The estimate value of the instanteneous velocity when t = 1s is equals to -22 ft/s.
The average velocity over an interval [a,b] for a defined position function f(t) can be displayed by the difference quotient {f(b)-f(a)}/{b-a}. When these two points come very close to each other and at any point both of them appear almost the same point then the average velocity becomes instantaneous velocity at that time, which is also the derivative of the function at that point. We have, baby alien throw a ball into the air with a velocity of 24 ft/s on planet. The height in feet or
the displacement relation is defined as ,
y (t) = 24t - 23t².
where, y--> displacement/height
t --> time
Initial time , to = 1 sec
Therefore, the velocity will be
dy/dt = v(t) = 24 - 46t
A) The average velocity on an interval [a,b] is
Vₐᵥ = { y( b) - y(a) }/(b - a)
Now, see the intervals ,
beginning when t = 1s and lasting t = 0.01s, [1, 1.01]Vₐᵥ = {y( 1.01) - y(1)}/(1.01 - 1)
= {24(1.01) - 23(1.01)² - 24×1 + 23× 1 }/0.01
= {24.24 - 24 - 23.4623 + 23}/0.01
= - 22.23 ft/s
beginning when t = 1s and lasting t = 0.005s, [1, 1.005]Vₐᵥ = {y( 1.005) - y(1)}/(1.005 - 1)
= {24(1.005) - 23(1.005)² - 24×1 + 23× 1 }/0.005
= -22.115 ft/s
beginning when t = 1s and lasting t = 0.001s, [1, 1.001]Vₐᵥ = {y( 1.001) - y(1)}/(1.001 - 1)
= {24(1.001) - 23(1.001)² - 24×1 + 23× 1 }/0.001 = { 24.024 - 24 + 23 - 23(1.001)²}/0.001 = - 22.023 ft/s
B) The instanteneous velocity is defined as V (t) = dy/dt = 24 - 46t
At t = 1 s then V(t) = 24 - 46(1) = 24 - 46
=> V = - 22 ft/s
Hence, instanteneous velocity is - 22 ft/s.
To learn more about Average velocity, refer:
https://brainly.com/question/27828685
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Complete question:
A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 24 ft/s. Its height in feet after t seconds is given by y = 24t - 23t².
A. Find the average velocity for the time period beginning when t=1 and lasting
.01 s:
.005 s:
.001 s:
NOTE: For the above answers, you may have to enter 2 or 3 significant digits if you are using a calculator.
B. Estimate the instanteneous velocity when t=1.