The percent of the people surveyed who were completed satisfaction with the car will be 48%.
How to calculate the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100. The percentage then refers to a component per hundred. The word percentage simply means per 100 and it is represented by %.
In this case, a survey was given to people who own a certain type of car. 24 out of 50 stated that they were satisfied with the car.
The percent of the people surveyed were completed satisfaction with the car will be:
= 24 / 50 × 100
= 48%
Learn more about percentages on
brainly.com/question/24304697
#SPJ1
Complete question
A survey was given to people who own a certain type of car. 24 out of 50 stated that they were satisfied with the car. what percent of the people surveyed were completed satisfaction with the car?
Reflect shape A in the line y = -x.
Answer:
pentagon
Step-by-step explanation:
pentagon...................................
103M) solve on the interval 0 ≤ x < 2pi
sin ( 4x ) = √3 / 2
solving sin ( 4x ) = √3 / 2 , the value of x is 15°
What is trigonometry?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
For angle of 30° and 60°
sin 30° = 1/2
cos 60° = √3/2
tan60° = √3
for angle 60 °
sin60° = √3/2
cos 60° = 1/2
tan60° = 1/√3
since sin(4x) = √3/2
and sin 60° = √3/2
sin60° = sin(4x)
this means 60° = 4x
divide both sides 4
x = 60/4
x = 15°
therefore the value of x is 15°
learn more about trigonometry ratio
https://brainly.com/question/24349828
#SPJ1
The steps to solve an equation are shown below. Choose the reasons that are listed in the correct order to justify the steps in the solving process.
A- 1. Given, 2. Division Property of Equality, 3. Addition Property of Equality, 4. Division Property of Equality
B- 1. Given, 2. Multiplication Property of Equality, 3. Subtraction Property of Equality, 4. Division Property of Equality
C- 1. Given, 2. Division Property of Equality, 3. Addition Property of Equality, 4. Multiplication Property of Equality
D- 1. Given, 2. Multiplication Property of Equality, 3. Addition Property of Equality, 4. Division Property of Equality
The steps to solve the equation (5y - 1)/2 = 7 are assigned and attached
D- 1. Given, 2. Multiplication Property of Equality, 3. Addition Property of Equality, 4. Division Property of EqualityHow to solve the given equationThe expression in the problem is (5y - 1)/2 = 7
Clearing the fraction
The fraction is cleared by applying the Multiplication Property of Equality
(5y - 1)/2 = 7
5y - 1 = 14
Adding 1 to both sides of the equation is done using Addition Property of Equality
5y - 1 + 1 = 14 + 1
5y = 15
Making y the subject of formula Division Property of Equality is applied
5y / 5 = 15 / 5
y = 5
Learn more about Division Property of Equality at:
https://brainly.com/question/17469487
#SPJ1
Find the values of x and y in parallelogram PQRS.
PT =y. TR = 3x + 1, QT = 3y. TS = 5x + 11
x=
y=
PLEASE HELPPP!!!!
In the parallelogram PQRS, x = 2 and y=7
Parallelogram:
A parallelogram is a quadrilateral with two pairs of parallel sides. A parallelogram has opposite sides of equal length and opposite angles of equal length. Also, the interior angles on the same side of the horizontal line are supplementary angles. The sum of all interior angles is 360 degrees. A three-dimensional shape whose faces are parallelograms is called a parallelepiped. The area of a parallelogram depends on its base (one of its parallel sides) and its height (height drawn from top to bottom). The perimeter of a parallelogram depends on the length of its four sides.
Given that
PT=y, TR=3x+1, QT=3y, TS=5x+11
The diagonals of a parallelogram bisect each other
PT = TR and QT = TS
y = 3x+1 and 3y = 5x+11
Now,
We have a system of equations
Multiply the first equation by 3
3y = 9x+3 and 3y = 5x+11
Set them equal
9x + 3 = 5x + 11
⇒ 9x - 5x = 11 -3
⇒ 4x = 8
⇒ x =2
Now,
Putting the value of x =2 in equation :
y = 3x+1
=3(2)+1
=7
Learn more about Parallelogram:
https://brainly.com/question/19187448
#SPJ4
Jacqueline is buying grapes and apples from the Walmart produce section. Grapes are $3
per pound and apples are $4 per pound. Jacqueline’s mother gave her $20 to spend. To
determine the combinations of grapes and apples that she can afford to purchase,
Jacqueline wrote the inequality 3 + 4 ≤ 20.
1. Define the variables Jacqueline used based on the context.
Let represent _______________________________________________.
Let represent _______________________________________________.
2. Explain why the inequality sign ≤ makes sense in this context.
3. Graph the inequality 3 + 4 ≤20.
4.The ordered pair (3, −4) is a solution to the inequality 3 + 4 ≤ 20.
Explain why
this is not a viable solution in the context of buying grapes and apples.
5. The ordered pair (4, 2) is a point on the boundary line. Explain what the ordered
pair represents in the situation.
Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c: ordered pair (3, −4) isn't solution.
What is inequality, exactly?An unbalanced connection between two expressions or values is referred to in mathematics as an inequality. So, inequity results from imbalance. In mathematics, an inequality defines the connection between two non-equal quantities. Egality and inequality do not mean the same thing. Use the not equal sign whenever two values are not equal (). It is possible to compare values of any size using a variety of inequalities. By changing both sides until only the variables are left, it is possible to solve many straightforward inequality problems.
Here,
Given : 3x + 4y ≤ 20.
where x is the no of apples
and y is the no of grapes
Thus,
Part a:
where x is the no of apples
and y is the no of grapes
Part b:
Inequality signs means that 20 will be the maximum amount of the no of apples and no of grapes summation.
Part c: ordered pair (3, −4)
Thus,
putting in the inequality we find:
=> 3(-3)+ 4(-4)
=> -6 -16
=> -22
Thus , it is not a solution for inequality.
Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c: ordered pair (3, −4) isn't solution.
To know more about inequality visit:
https://brainly.com/question/29914203
#SPJ1
Estimate the difference by rounding each number to the nearest whole number and then subtracting.
10.04 − 6.3
Answer:
Estimate of difference is 4.
Step-by-step explanation:
10.04 = 10 to nearest whole number
6.3 = 6 to nearest whole number.
10 - 6 = 4.
A marketing research company desires to know the mean consumption of meat per week among males over age 50. They believe that the meat consumption has a
mean of 3.5 pounds, and want to construct a 95 % confidence interval with a maximum error of 0.08 pounds. Assuming a standard deviation of 0.6 pounds, what is
the minimum number of males over age 50 they must include in their sample? Round your answer up to the next integer.
Answer:
we get a required sample size of 122.
Step-by-step explanation:
We can use the following formula to calculate the required sample size:
n = (Z * sigma / e)^2
where:
n is the required sample size
Z is the z-score corresponding to the desired confidence level (e.g. for a 95% confidence level, Z = 1.96)
sigma is the standard deviation of the population
e is the maximum error allowed
Plugging in the given values, we get:
n = (1.96 * 0.6 / 0.08)^2 = 121.6
Rounding up to the next integer, we get a required sample size of 122.
If you have 10 friends and make two equal teams, what fraction do you use?
A commuter wants to determine the average price of gas in the area. Which is the best method of collecting a population sample so that the commuter can answer this question? Responses: A. Check gas prices at several gas stations near the commuter’s house. B. Find the gas prices over the past several years at a single particular gas station in the area. C. Look up a number of randomly selected gas stations in the area to find out gas prices. D. Survey friends on social media to see how much people are paying for gas.
The best method of collecting a population sample so that the commuter can answer this question is C. Look up a number of randomly selected gas stations in the area to find out gas prices.
What is the population?The entire group about which you want to draw conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the total population size.
A sample is characterized as a more manageable and compact version of a larger group. a smaller population that possesses the traits of a larger population. When the population size is too large to include all participants or observations in the test, a sample is used in statistical analysis.
This method would be the most representative of the entire population of gas stations in the area, and therefore the most likely to produce an accurate average price.
Learn more about population on:
https://brainly.com/question/7301139
#SPJ1
The integral 1 π(y2−y4) dy 0 represents the volume of a solid. Describe the solid.
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the y axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis
The correct option is (d). The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis
The difference between the areas beneath the two curves that form a boundary is the area between the curves. You will then have the area between the two curves, or the difference, between them.
In the cartesian coordinate system, a plane is divided into four areas by the X-axis, a horizontal line, and the Y-axis, a vertical line. The term "quadrant" refers to these four areas.Use washer method:The washer method enables us to use cylindrical discs with holes to compute the volume of solids in a rotation.
As we have mentioned, the washer method is an extension of the disk method. This technique is established so that we can also calculate for the volume of the solid returned by rotating the region bounded by two curves over the x and y axis.[tex]$$\begin{aligned}& V=\int_a^b \pi\left(x_1^2-x_2^2\right) d y \\& =\int_0^1 \pi\left(y^2-\left(y^2\right)^2\right) d y \\& =\int_0^1 \pi\left(y^2-y^4\right) d y\end{aligned}$$[/tex]
Therefore, the solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y² around the y axis.
For more such questions on washer method
https://brainly.com/question/14317655
#SPJ4
•50 POINTS• don’t have to explain.
Answer: 80 degrees
Step-by-step explanation:
Answer:
the remaining angle of triangle is 80° by the sum of triangle is 180.
A
70°
B
E
30
What angle relationship describes angles CBE and DEB?
[tex]\angle CBE[/tex] and [tex]\angle DEB[/tex] are same-side interior angles.
seven pounds of fertilizer can cover 1400 square feet.canbe covered by 2 pounds of fertilizer
The area for 2 pounds of fertilizer is 400 square feet
How to determine the amount of fertilizer for 2 pounds?
From the question, we have the following parameters that can be used in our computation:
seven pounds of fertilizer can cover 1400 square feet
This means that
7 pounds of fertilizer = 1400 square feet
Divide both sides of the equation by 7
So, we have the following representation
1 pounds of fertilizer = 200 square feet
Multiply both sides of the equation by 2
So, we have the following representation
2 pounds of fertilizer = 400 square feet
Hence, the area is 400 square feet
Read more about unit rates at
https://brainly.com/question/19493296
#SPJ1
What is the coefficient form of X³ 2 *?
Let x= the co-efficient of x^2. So the co-efficient of given function is x=1.
Define co-efficient.
The term "coefficient" refers to a number or symbol that multiplies another number or symbol (used as a mathematical variable).
Write an example of co-efficient.
An amount multiplied by a variable is known as a coefficient. As an illustration, 6z stands for 6 times z. Since z is a variable, 6 is a coefficient. For variables without a value, the coefficient is 1.
Let x= the co-efficient of x^2 So the co-efficient of given function is x=1.
The term multiplied with x^3 is the co-efficient of this expression. As there is not term with x^2 so it is 1.
To learn more about co-efficient visit the link:
brainly.com/question/1038771
#SPJ4
Simplify.
8-3(4-2x)
i’ll mark brainliest :)
Answer:
-4 + 6x.
Step-by-step explanation:
8 - 3(4 - 2x)
= 8 - 12 + 6x
= -4 + 6x.
The correct answer is 6x - 4
Simplify :
8 - 3(4 - 2x)
8 - (12 - 6x) (using BODMAS rule)
8 - 12 - (-6x)
( 8 -12) + 6x
-4 + 6x
= 6x - 4
What is a polynomial of zero?
All of the coefficients of a zero polynomial's variables are equal to zero. In other words, it indicates that the powers of all the variables are equal to zero.
Zero polynomials are any polynomials that have all of their variables' coefficients set to zero.
Thus, a polynomial with a value of zero has no value.
A constant function or zero map is the function that defines it, and it is typically written as P(x) = 0, where x is the variable of the polynomial whose coefficient is 0.
A zero polynomial is a polynomial that has zero as its coefficient and an endless number of terms and variables of various powers.
Like this: 0x^2 + 0x + 0.
The graph of the zero polynomial is the x-axis, and the zero polynomial function is defined as y = P(x) = 0.
Real numbers are believed to be the domain, while 0 is the range.
The range is the set of values for the dependent variable y, whereas the domain is the set of values for the variable x for which the function is defined.
For more questions on Polynomials
https://brainly.com/question/30111198
#SPJ4
Triangle ABC is shown below
Answer:180 degrees
Step-by-step explanation: add the angles
Please help me lol
8=t/-3+4
Answer:t=-12
and if want step by step just look the equation up on the internet and it will be there step by step
A circle has centre C and radius 4 cm.
The diagram shows the circle with a point
D which lies on the circle. The tangent at D
passes through the point E. EC = √65 cm.
Find
a) the size in radians of angle DCE
b) the area of the shaded region
Step-by-step explanation:
EC = 165 cm (Given) Tangent of circle also makes 90°.
a) sind = Perpendicular Hypotenuse = CD = EC 165 => 0 = Sin = 0.519 ~ 0.52 =29.7448 ~ 29.75° =<E
By angle sum property of triangle. <D+<E+ <C = 180°
90° + 29.75 + LC = 180°
<C = 180-90-29.75 = 60.25° <C= 60.25°
<DCE = <C = 60.25 x π/180 = 1.052 radians.
(b) Area of triangle DCE = 1/2 x b x h = 1/2 x ED X 4
ED² + CD² = EC² ED² + 4² = (√65)² => EC² = 65-16 = 49 ED=7
Area = 1/2 x 7 x 4 = 14 cm²
Area of sector a π x 4²x 60.25/360 = 8.4125 cm2
Area of shaded region= Area ADCE Area of sector -
= 14-8.4125 = 5.5875 cm²
(a) <DCE = 1.052 radians b) Area shaded of region = 5.5875cm²
Maria finished with 160 percent of her original amount. If she finished with 7200, what was Maria's original amount
On solving the provided question, we can say that the equation will be 1.8x=7200 => x=4000
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
here,
the equation will be
1.8x=7200
x=7200/1.8
x=4000
To know more about equation visit:
https://brainly.com/question/649785
#SPJ4
What is the log value of log2?
The log value of log2 is 1Log2 is defined as the logarithm base 2. This means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x.
In other words, log2(x) = y, where 2^y = x.
Therefore, when x = 2, 2^y = 2. This means that the logarithm of 2 is equal to 1, since 2^1 = 2.
Therefore, the log value of log2 is 1.
Log2 is an important mathematical concept that is used to calculate the logarithm of a number. Logarithms are used in a variety of fields, including mathematics, physics, engineering, and computer science. Log2 is the logarithm with a base of 2, which means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x. To calculate log2 of a number, the formula is log2(x) = y, where 2^y = x. This means that the logarithm of 2 is equal to 1, since 2^1 = 2. Therefore, the log value of log2 is 1. Log2 is often used to calculate logarithms of numbers that are not powers of 2, such as log2(3) = 1.5849. Log2 can also be used to calculate logarithms of numbers with decimals, such as log2(1.5) = 0.5849. Log2 can also be used to calculate exponents, such as 2^3 = 8.
Learn more about logarithm here
https://brainly.com/question/28596588
#SPJ4
Cedro bought five games and eight songs for a total cost of $22. 87. Benita bought seven songs and four games for a total cost of $18. 89. The cost of their purchases can be represented by the following equations: 5g + 8s = 22. 87 and 7s + 4g = 18. 89 where g is the cost of each game and s is the cost of each song purchased. What was the cost of each game and each song purchased?
The purchasing cost of each game costs $1.55 and each song costs $1.89 according to the given equation.
What are variables?A variable is a symbol or character that represents a value or set of values in mathematics and computer programming that can change and take on different values depending on the context.
The given problem can be solved using a system of equations.
The first formula, 5g + 8s = 22.87, represents the total cost of games and songs purchased by Cedro.
The second formula, 7s + 4g = 18.89, represents the total cost of games and songs purchased by Benita.
5g = 22.87 - 8s
g = (22.87 - 8s)/5.
We can now substitute this expression for g into the second equation and solve for s. So we have:
7s + 4((22.87 - 8s) / 5) = 18.89
On expanding and solving this equation for s we get:
7s + (91.48 - 32s) = 18.89
32s + 7s = 73.59
39s = 73.59
s = 1.89
By substituting the value of s into the equation 5g = 22.87 - 8s gives
5g = 22.87 - 8(1.89)
5g = 22.87 - 15.12
5g = 7.75
g = 1.55
To know more about variable visit:
https://brainly.com/question/29508931
#SPJ4
What are the worst and best time complexity and the best and worst time input given to sort a set of elements using bubble sort?
With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.
what is algorithm ?A mathematical algorithm is a process that describes a series of steps that can be used to accomplish a mathematical computation. A typical illustration of a mathematical algorithm would be the step-by-step process used in long division. Integral calculus and differential calculus are the two varieties of calculus. These fields work together to let you calculate rate of change, a crucial component of many algorithms and programs. Particularly crucial are differential equations.
given
With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.
The outer loop, in the worst case, executes O(n) times.
Therefore, bubble sort's worst-case time complexity is O(n x n) = O(n x n) (n2).
To know more about algorithm visit :-
https://brainly.com/question/29289479
#SPJ4
a number is at least 16
Pls answer asap I’m literally stumped it’s not that hard tho
Answer:
[tex]d=11.3125[/tex]
Step-by-step explanation:
Given
[tex]\frac{-4(-8.625+2d)}{-8} +3=10[/tex]
Lets solve for [tex]d.[/tex]
Start on the left side with the fraction.
Factor -4 out of -8.
[tex]\frac{-4(-8.625+2d)}{-4(2)} +3=10[/tex]
Cancel the common factor of -4.
[tex]\frac{-8.625+2d}{2} +3=10[/tex]
Subtract 3 from both sides.
[tex]\frac{-8.625+2d}{2} =7[/tex]
Multiply both sides by 2.
[tex]\frac{-8.625+2d}{2} *2=14[/tex]
Cancel the common factor of 2.
[tex]-8.625+2d=14[/tex]
[tex]2d-8.625=14[/tex]
Add 8.625 to both sides.
[tex]2d=22.625[/tex]
Divide both sides by 2.
[tex]d=11.3125[/tex]
A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centimeters. About how many cubic centimeters of soil are needed to plant the full tray
The volume of a cone is one-third of the product of the area of the base times the height, i.e. Now multiply that by the number of cones: 6 * 75.40 cm^3 = 452.40 cm^3.
What is Volume of a Cone?The volume of a cone is one-third of the product of the area of the base times the height, i.e.(1/3)π(r^2)*h = (1/3)π(3cm)^2 *(8cm) = 75.40 cm^3Now multiply that by the number of cones: 6 * 75.40 cm^3 = 452.40 cm^3.Then the answer is 452 cm^3The total surface area of a cone is the sum area of its circular base and the curved surface. The curved surface area of a cone is given by the formula: Total surface area = Area of Curved Surface + Area of Circular Base. TSA = π ✕ r ✕ l + π ✕ r² or, TSA= π ✕ r ✕ (l + r) square unitsThe formula for the volume of a cone is ⅓ r2h cubic units, where r is the radius of the circular base and h is the height of the conTo learn more about Volume of a Cone refers to:
brainly.com/question/1498036
#SPJ4
The average sale price of new one-family houses in the United States for a recent year was . Find the range of values in which at least of the sale prices will lie if the standard deviation is . Round your to the nearest whole number
The price range for 75% of sales will be between $149,300 and $343,300.
What is meant by Chebyshev's Theorem?The minimum percentage of observations falling within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous probability distributions can use this theorem. Also known as Chebyshev's Inequality, Chebyshev's Theorem.
Between $149,300 and $343,300 is where 75% of transactions are priced. Only 75% of the distribution's numbers must fall within two standard deviations for Chebyshev's theorem to hold, which makes it weaker than the proportion of numbers that are within two standard deviations of the mean.
Since the standard deviation given exists 48500, 2 standard deviations will be 2 × 48500 = 97000.
The lower limit will be 246300 - 97000 and the upper limit will be 246300 + 97000.
Lower limit = 246300 - 97000 = 149300
Upper limit = 246300 + 97000 = 343300
So 75% of the sales prices will be between $149,300 and $343,300
The complete question is:
The average sale price of new one-family houses in the United States for 2003 was $246,300. Using Chebyshev's theorem, find the range of values in which at least 75% of the sale prices will lie if the standard deviation is $48,500. Hint: You should memorize that when k is 2, it is 75% and when k is 3 it is 88.89%. Please answer with whole numbers: ex. 55,232 to 65,450 with commas
To learn more about Chebyshev's theorem refer to;
https://brainly.com/question/28482338
#SPJ4
If the probability of getting a reult in an experiment i 75. 3%, what i the probability of not getting that reult? Select the bet choice
The probability of not getting result is found as 24.7%.
Explain the probability of experiment?The number of times an event happened during the experiment as a percentage of all the times the experiment was run is known as the experimental probability of that event occurring.
Theoretical Probability: the mathematically predicted outcomes of an experiment.Experimental Probability: the likelihood that the experiment will actually succeed.The mathematics of opportunity is known as probability (p). The probability of an event (E) occurring is shown through probability.Any occurrence can have its likelihood expressed as a number between 0 and 1, with 1 being the most likely outcome.The likelihood of an impossibility is zero. One represents the probability of an event. A probability between 0 and 1 can be attributed to any other events that fall in between these two extremes.So,
P(Result) = 0.753.
P(no result) = 1 - 0.753
P(no result) = 0.247
Thus, the probability of not getting that result is found as 24.7%.
To know more about the probability, here
https://brainly.com/question/25839839
#SPJ4
The correct question is-
If the probability of getting a result in an experiment is 75. 3%, what i the probability of not getting that result?
Sergio purchased 4 items for $1.50 each. Sales tax was 8.25%. What was the total price?
please explain if you can, thxs!
Answer:
6.495.Step-by-step explanation:
The total cost of the items before tax was $1.50 * 4 = $<<1.54=6>>6.
The sales tax was $6 * 8.25% = $<<68.25*.01=0.495>>0.495.
So the total price was $6 + $0.495 = $<<6+0.495=6.495>>6.495.
A weight is suspended from a spring is set into oscillating
motion by compressing it into a point 3 cm above its resting
position and releasing it. It will displace 3 cm past its resting
point. From the time it is released it will bounce at a rate of 3
cycles per second.
a. Draw a graphical representation and give the equation
involving the situation.
b. What is the displacement of the spring after 2.5
seconds?
a. The graphical representation of the oscillation of the weight suspended from a spring is a sine wave, with the displacement of the weight on the y-axis and time on the x-axis. The equation involving the situation would be y = Asin(2pift + phi) where A is the amplitude of the oscillation (3 cm in this case), f is the frequency of oscillation (3 cycles per second in this case), t is the time elapsed since the weight was released, and phi is the phase offset (0 in this case).
b. To find the displacement of the spring after 2.5 seconds, we can substitute 2.5 seconds for t in the equation: y = Asin(2pift + phi) = 3sin(2pi32.5 + 0) = 3sin(15pi) = 3*0 = 0 cm. So the displacement of the spring after 2.5 seconds is 0 cm.
What is an oscillation period?By definition, period of oscillation of an oscillator is the time interval that the oscillating object needs to pass through its equilibrium position with velocity in the same direction.
Learn more about oscillation period in brainly.com/question/14394641
#SPJ1