Answer:
d
Step-by-step explanation:
sqaure root of both times each other gives 5
A boy jumps from a wall 3 m high. What is an estimate of the change in momentum of the boy when he lands without rebounding
Estimated change in momentum of the boy after he lands without rebounding is equal to 0 kgm/s approximately.
Height of the wall = 3meters
To estimate the change in momentum of the boy when he lands without rebounding,
Use the principle of conservation of momentum.
The change in momentum of an object is equal to the product of its mass and the change in velocity.
Here, the boy's mass is not given, but we can assume it to be negligible compared to the change in velocity.
This implies, focus on the change in velocity alone.
When the boy jumps from a wall 3m high, he undergoes free fall due to gravity.
The final velocity of an object in free fall can be calculated using the equation,
v² = u² + 2as,
where,
v = final velocity (unknown)
u = initial velocity (0 m/s, as the boy jumps from rest)
a = acceleration due to gravity (-9.8 m/s²)
s = displacement (3 m, height of the wall)
Rearranging the equation, we get,
⇒ v² = 0 + 2(-9.8)(3)
⇒ v² = -58.8
⇒ v ≈ -7.67 m/s
Since the boy lands without rebounding, his final velocity is approximately -7.67 m/s,
Considering downward motion as negative.
The change in momentum can be calculated by multiplying the mass assumed to be negligible with the change in velocity,
⇒ Change in momentum = mass × change in velocity
⇒ Change in momentum ≈ 0 × (-7.67) kgm/s
⇒ Change in momentum ≈ 0 kgm/s
Therefore, the estimate of the change in momentum of the boy when he lands without rebounding is approximately 0 kgm/s.
learn more about momentum here
brainly.com/question/3729467
#SPJ4
determine whether each of the following sets of quantum numbers for the hydrogen atom are valid. drag the appropriate items to their respective bins.
ml = 0 is valid so the sets of quantum numbers are validated or not validated as mentioned above.
Here are the given sets of quantum numbers for the hydrogen atom which need to be validated.
Set 1 (n=3, l=3, ml=0, ms=+1/2) - Valid or Not valid
Set 2 (n=2, l=1, ml=1, ms=-1/2) - Valid or Not valid
Set 3 (n=4, l=1, ml=0, ms=-1/2) - Valid or Not valid
The first step is to understand the set of quantum numbers. Each electron in an atom is assigned a set of four quantum numbers.
The four quantum numbers are: n, l, ml, and ms. The principal quantum number n, the angular momentum quantum number l, the magnetic quantum number ml, and the spin quantum number ms are the four quantum numbers that define the electron's state.
Set 1 (n=3, l=3, ml=0, ms=+1/2)
It is not valid because ml can be from -l to +l, and when l is 3, ml can be -3,-2,-1,0,1,2,3. So, the value of ml should be from -3 to +3.
Set 2 (n=2, l=1, ml=1, ms=-1/2)
It is valid because l = 1, so ml can be -1,0,1. Therefore, ml = 1 is valid.
Set 3 (n=4, l=1, ml=0, ms=-1/2)
It is valid because l = 1, so ml can be -1,0,1. Therefore, ml = 0 is valid.
Thus, the sets of quantum numbers are validated or not validated as mentioned above.
To learn more about quantum, refer below:
https://brainly.com/question/16977590
#SPJ11
find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 3 sin2(t), y = 3 cos2(t), 0 ≤ t ≤ 5
To find the distance traveled by a particle with position (x, y) as t varies in the given time interval, we need to calculate the length of the path traced by the particle. We can evaluate this integral using a substitution method or a numerical approach to find the exact distance traveled by the particle in the given time interval.
The position functions are x = 3sin^2(t) and y = 3cos^2(t) in the interval 0 ≤ t ≤ 5.
Find the derivatives of the position functions with respect to t.
dx/dt = d(3sin^2(t))/dt = 6sin(t)cos(t)
dy/dt = d(3cos^2(t))/dt = -6sin(t)cos(t)
Calculate the magnitude of the velocity vector.
|v| = sqrt((dx/dt)^2 + (dy/dt)^2) = sqrt((6sin(t)cos(t))^2 + (-6sin(t)cos(t))^2)
Simplify the expression.
|v| = sqrt(36sin^2(t)cos^2(t) + 36sin^2(t)cos^2(t)) = sqrt(72sin^2(t)cos^2(t))
Integrate |v| over the interval [0, 5] to find the distance traveled.
Distance traveled = ∫|v| dt from 0 to 5 = ∫(sqrt(72sin^2(t)cos^2(t))) dt from 0 to 5
Now, you can evaluate this integral using a substitution method or a numerical approach to find the exact distance traveled by the particle in the given time interval.
Learn more about "distance": https://brainly.com/question/26550516
#SPJ11
what is represented by the greek letter alpha? the sample mean the standard deviation the probability that is the level of significance
The Greek letter alpha (α) represents the probability that is the level of significance in statistical hypothesis testing and helps control the risk of making Type I errors.
The Greek letter alpha (α) represents the level of significance in statistical hypothesis testing. It is a predetermined threshold that determines the probability of rejecting the null hypothesis when it is true. In other words, it measures the willingness of a researcher to make a Type I error, which is the incorrect rejection of a true null hypothesis.
The level of significance (α) is typically set before conducting the hypothesis test and is commonly chosen at 0.05 (5%) or 0.01 (1%). It represents the maximum probability that a researcher is willing to accept for making a Type I error.
When performing hypothesis tests, the p-value (probability value) is compared to the level of significance (α) to determine whether the null hypothesis should be rejected or not. If the p-value is smaller than the level of significance, the null hypothesis is rejected in favor of the alternative hypothesis.
For such more questions on Statistical hypothesis testing:
https://brainly.com/question/15980493
#SPJ11
freddy
a drew plan for a rectangular piece of material that will use for a blanket. Three of the vertices are (,), (,), and (,). What are the coordinates of the fourth vertex?
The fourth vertex's coordinates are as follows: ( 2.1, -3.6)
What are coordinates?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.
So, let the missing coordinates be (a,b).
Let's now utilize the midpoint formula to locate the erroneous coordinate.
Let the reference point be (-2.3, 3.6) A.
Let point B be (2.3, 2.2).
(2.1, 2.2) Let C be the point.
The center of AC should be at BD.
Step 1: Locating the AC's midpoint
Middle pint of AC:
(-2.3 + 2.1/2), (-3.6 + 2.2/2)
(0.2/2), (1.4/2)
(-0.1, -0.7)
Let's equate the midpoints in step two.
The BD mid-point:
(a + -2.3/2), (b + 2.2/2) = (-0.1, -0.7)
(a + -2.3/2) = -0.1
(a -2.3/2) = -0.1*2
a = -0.2+2.3
a = 2.1
(b + 2.2/2) = -0.7
b + 2.2 = -0.7*2
b + 2.2 = -1.4
b = -1.4 -2.2
b = -3.6
Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)
Know more about coordinates here:
https://brainly.com/question/29362355
#SPJ1
Complete question:
Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ( -2.3 and −3.6), (−2.3, and 2.2), and (2.1, and 2.2). What are the coordinates of the fourth vertex?
Approximately 9% of all people are left-handed. Consider 27 randomly selected people. a) State the random variable. rv X = the number of 27 randomly selected people that are left-handed b) List the given numeric values with the correct symbols. nV = 27 p = 0.09 c) Compute the mean. Round final answer to 2 decimal places. Which of the following is the correct interpretation of the mean? Out of every 27 people, 2.43 of them on average are left-handed d) Compute the standard deviation. Round final answer to 2 decimal places.
a) The random variable is X, which represents the number of 27 randomly selected people that are left-handed.
b) Given values: n = 27 p = 0.09
c) The correct interpretation of the mean is: Out of every 27 people, on average, 2.43 of them are left-handed.
d) The standard deviation is approximately 1.49
a) The random variable is X, which represents the number of 27 randomly selected people that are left-handed.
b) Given values:
n = 27 (sample size)
p = 0.09 (probability of a person being left-handed)
c) To compute the mean, you can multiply the sample size by the probability:
Mean (μ) = n * p
μ = 27 * 0.09 = 2.43
The correct interpretation of the mean is:
Out of every 27 people, on average, 2.43 of them are left-handed.
d) To compute the standard deviation (σ), you can use the formula for the binomial distribution:
Standard Deviation (σ) = √(n * p * (1 - p))
σ = √(27 * 0.09 * (1 - 0.09))
σ = √(2.43 * 0.91)
σ ≈ √2.2153
σ ≈ 1.49 (rounded to 2 decimal places)
Therefore, the standard deviation is approximately 1.49
To learn more about random variable
https://brainly.com/question/17481850
#SPJ11
convert 18 celsius to Fahrenheit
Answer:
It's 64 degrees
Step-by-step explanation:
multiply the temperature in degrees Celsius by 2 then add 30 to get the estimated temperature
Triangle ABC is a right-
angled triangle.
ADB is a straight line.
DA = DC
Angle BCD = 20°
Work out the size of the angle
marked x.
You must give reasons for each
stage of your working out
Answer:
x=35°
Step-by-step explanation:
∠A+∠B+∠C=180°(ASP)
In ΔCAD, DC=DA
so, ∠DAC=∠DCA( angles opposite to equal sides are equal)
∠B=90°(given)
So, ∠DCA= 180°-(90+20)= 70°
Since ∠DCA= ∠DAC,
2x= 70°
x=35°
The value of angle A or the value of x is 35°
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The angle A will be calculated as:-
∠A+∠B+∠C=180°(ASP)
In ΔCAD, DC=DA
so, ∠DAC=∠DCA( angles opposite to equal sides are equal)
∠B=90°(given)
So, ∠DCA= 180°-(90+20)= 70°
Since ∠DCA= ∠DAC,
2x= 70°
x=35°
Therefore the value of angle A or the value of x is 35°
To know more about triangles follow
https://brainly.com/question/17335144
#SPJ2
Given the functions f(x) and g(x + 2) - 4, what translation(s) to the graph of f(x) is (are) done so that the graph of g(x) is obtained from the graph of f(x)?
Answer:
my mom calls me I'll be back
A space research pod goes around the earths circumference in 2 hours. Find it’s angular velocity in radians per second and it’s linear speed in feet per minute and in miles per hour.
Let's find the angular velocity:
\(\begin{gathered} \omega=2\pi f \\ f=\frac{1}{T} \\ \omega=\frac{2\pi}{T} \\ \omega=\frac{2\pi}{2}=\frac{\pi rad}{h} \end{gathered}\)We need to find the velocity in radians per second, so:
\(\pi\frac{rad}{h}\times\frac{1h}{3600s}=\frac{\pi}{3600}\approx\frac{0.0008727rad}{s}\)Let's find the linear speed:
\(v=\omega\cdot r\)\(v=\omega\cdot(6371\operatorname{km})=\frac{5559.74632m}{s}\)We need to express this speed in feet per minute, so:
\(5559.746332\frac{m}{s}\times\frac{3,28084ft}{1m}\times\frac{60s}{1\min}=\frac{1094438.289ft}{\min }\)Now in miles per hour:
\(1094438.289\frac{ft}{\min}\times\frac{1mi}{5280ft}\times\frac{60\min }{1h}=\frac{12436.79874mi}{h}\)This is the thing that I need help on pls helpppp
Answer:
144 in^2
Step-by-step explanation:
Using the A = s^2 and the text says that s= 12in
the answer is 12 in * 12 in = 144 in^2
Help me please please
Find the smallest whole number that is divisible by both 720 and 1575
Answer:
LCM = 2^4 x 3^2 x 5^2 x 7 = 25200
Step-by-step explanation:
Prime factorization of 720:
720 = 2^4 x 3^2 x 5
Prime factorization of 1575:
1575 = 3^2 x 5^2 x 7
Answer:
720 = 2 × 2 × 2 × 2 × 3 × 3 × 5
1,575 = 3 × 3 × 5 × 5 × 7
LCM of 720 and 1,575 =
2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 = 25,200
Express the fraction
1/3
as a decimal.
Answer:
Step-by-step explanation:
1/3 as a decimal is 0.3333333 repeating
Answer:
0.33
Step-by-step explanation:
Divide 1 by 3 and you'll get a repeating answer of 0.33333333333. When you round it it'll be seen as 0.33
what is the answer to
= √1 −
Answer:
0
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Its 1 because the square root of anything is that number having the ability to be multiplied by the same number. And that is going to be a positive number.
Can you please help me solve this?
The value of angle x = 39° using angle sum property.
An angle meaning is what?An angle is a shape in Euclidean geometry composed of two rays, referred to as the sides of circle, that diverge at the angle's tip and the peak, which is situated in the middle. Within the plane they are located in, two rays can join to form an angle. Angle is another outcome of two objects interacting. They are known as dihedral angles. Two line beams with ends can be arranged in a variety of ways to create an angle in 2 dimensions.
Here,
The angle opposite to 68 is vertically opposite angle,
And the angle adjoining 107 is linear pair of 107,
⇒ 180 - 107 = 73°
Now, using angle sum property,
the value of x will be -
68 + 73 + x = 180
141 + x = 180
x = 180 - 141
x = 39°
To know more about angles visit:
brainly.com/question/14569348
#SPJ1
Complete question -
Find x -
Find the product of 6b(2 over 3b).
20 over 3b
4b
23 over 3 b2
4b2
Answer:
c is my opinion
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
trust me.
find the probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles
The probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles is 2.12.
To find the probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles:
Given:
5 vowels1 consonantTo find:
The probability of picking 5 vowels and 1 consonant letter from the English Alphabet with a replacement.There is 26 English Alphabet.There are 5 vowels in the alphabet.There are 21 consonants in the alphabet.The probability of picking 5 vowels:
5 vowels = 5/26 × 5/26 × 5/26 × 5/26 × 5/26 = 3125/11,881376The probability of picking 1 consonant:
1 constant = 21/26 = 21/26The probability of picking 5 vowels and 1 consonants:
5 vowels 1 constant = 3125/11,881,376 × 21/26 = 65625/308915776 = 2.12436.Therefore, the probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles is 2.12.
Know more about probability here:
https://brainly.com/question/25870256
#SPJ4
What are the solutions of the inequality 2x² x 6 0?
The solutions of the inequality \(2x^{2} + x - 6 = 0\) are 3/2, -2. This can be found by using the Quadratic Formula, which states that for any quadratic equation of the form \(ax^{2} +bx + c = 0\), the solutions are \(x = -b +/-\sqrt{b^{2} -4ac} /2a\).
Discriminant: b² - 4 a c = 1 - 4(2)(-6) = 1 + 48 = 49
Solution 1: x = \(-b + \sqrt{b^{2} -4ac} /2a\) = (-1 + √49)/(2×2) = (-1 +7)/4 = 6/4 = 3/2
Solution 2: x = \(-b-\sqrt{b^{2} -4ac} /2a\)= (-1 - √49)/(2×2) = -8/4 = -2
So, the two solutions are 3/2 and -2.
The equation can also be written as,
\(2x^{2} +4x -3x-6=0\)
\(2x(x+2) -3(x+2) = 0\)
\((2x-3)(x+2) = 0\)
x = 3/2, -2
To know more about solutions:
https://brainly.com/question/30089986
#SPJ4
6 + x is an example of
a variable
an expression
a constant
a formula
Answer:varibale
Step-by-step explanation:
Answer:
an expression.
Step-by-step explanation:
if it was a variable it would be 6x but it not so it an expression
To begin the graphing process, rewrite this inequality so y is by itself: 3x − 4y ≥ 24. Select the correct answer.y ≥ -3/4x, y ≤ -3/4x + 6 + 6, y ≥ 3/4x – 6, y ≤ 3/4x – 6
Answer:
d. y ≤ 3/4x -6
Step-by-step explanation:
3x -4y ≥ 24
-4y ≥ -3x +24 subtraction property
y ≤ 3/4x -6 division property (change the direction of the symbol)
Answer:
Part A
y ≤ 3/4x – 6
the last option
Part B
answer is in the attachment
Part C
(-2,-8)
(8,0)
(4,-4)
Step-by-step explanation:
Part A
Use the properties of inequalities to rewrite the inequality:
3x − 4y ≥ 24
-4y ≥ -3x + 24 subtraction property
y ≤ x – 6 division property (change the direction of the symbol)
Part B
Plot the boundary line, which will be solid because the inequality is non-strict. Use either the equation 3x − 4y = 24 or y=3/4x-6
Next, use a test point, such as (0,0), to determine where to shade:
3(0) − 4(0) ≥ 24
0 ≥ 24
The result is false, so shade on the opposite side of the boundary line.
Part C
Use the graph of the inequality to determine whether each point lies in the solution set.
For this non-strict inequality, any point in the shaded region or on the line is a solution. So (8,0), (4,-4), and (-2,-8) are all solutions to the inequality.
Please mark me brainiest ;)
3) Formulate the LP problem of this game and find the optimal strategies of the game between two players. Strategy 1 Player 1 2 3 1 523 2 2 0 4 2 Player 2 3 330 Find the optimal strategies for Players
In a two-player zero-sum game, player one and player two each have three strategies. Player one has a payoff matrix of (5, 2, 3), (2, 0, 4), and player two has a payoff matrix of (3, 3, 0). Find the optimal strategies for both players.1. Formulating the LP problem.
The linear programming formulation of a two-person zero-sum game is:Maximize the value of v given by: V = min (row maximums), where the minimum is taken over all rows of the matrix and the row maximums are the maximum element in each row of the matrix. Subject to the following constraints:Player 1 strategies: p11 + p12 + p13 = 1, where p11, p12, and p13 represent the probabilities of player 1 choosing strategies 1, 2, and 3, respectively.Player 2 strategies: p21 + p22 + p23 = 1, where p21, p22, and p23 represent the probabilities of player 2 choosing strategies 1, 2, and 3, respectively.Non-negativity constraints: p11, p12, p13, p21, p22, p23 ≥ 0.2. Finding the optimal strategies of the game between two playersThe given payoff matrix for the game is:5 2 32 0 43 3 0.
In this game, the row maximums are 5, 4, and 3.The linear programming formulation of the game can be represented as:Maximize V = min (row maximums)Subject to:p11 + p12 + p13 = 1p21 + p22 + p23 = 1p11, p12, p13, p21, p22, p23 ≥ 0The solution of this game is obtained by solving the following linear programming problem.Maximize V = min (5p11 + 2p12 + 3p13, 2p21 + 4p13, 3p21 + 3p22)Subject to:p11 + p12 + p13 = 1p21 + p22 + p23 = 1p11, p12, p13, p21, p22, p23 ≥ 0On solving the above problem, we get optimal strategies for the game between two players.Player 1 optimal strategy is:p11 = 0, p12 = 1/3, and p13 = 2/3.Player 2 optimal strategy is:p21 = 1/3, p22 = 0, and p23 = 2/3.Thus, player 1 should play strategy 3 with probability 2/3 and strategy 2 with probability 1/3. Player 2 should play strategy 3 with probability 2/3 and strategy 1 with probability 1/3.
To know more about strategies visit :
https://brainly.com/question/23843246
#SPJ11
Stephanie is driving a new route from her house to her job, which is 12 1⁄4 miles away. On this route, she will pay a toll every 3 1⁄2 miles, and the cost of each toll is $1.35.
1. How many tolls will Stephanie pay?
2. What is the total cost of a one-way trip?
There are 3 tolls where Stephanie pays $ 4.05.
What is Distance?The distance between two points is the length of the path connecting them.
Here,
Distance covered by Stephanie = 12 1/4 miles
= 12.25 miles
Distance between two toll tax = 3 1/2 miles
= 3.5 miles
Number of Tolls = Total distance covered / Distance between two tolls
= 12.25 / 3.5
= 3.5
≈ 3 tolls.
Cost of 1 toll = $ 1.35
Total amount paid on toll = 3 X 1.35
= $ 4.05
Thus, there are 3 tolls where Stephanie pays $ 4.05.
Learn more about Distance from:
https://brainly.com/question/15172156
#SPJ1
Graph the solution set for the inequality
2/5*s +7>=3-4.2s
The solution of the inequality is:
s ≥ -0.86
And the graph can be seen on the image at the end.
How to find the solution set of the inequality?Here we want to find and graph the solution set of the inequality below:
(2/5)*s + 7 ≥ 3 - 4.2*s
To do so, first we need to isolate s in one of the sides, then let's do that:
(2/5)*s + 7 ≥ 3 - 4.2*s
(2/5)*s + 4.2*s ≥ 3 - 7
(2/5 + 4.2)*s ≥ -4
And we know that 4.2 = 21/5
Then:
(2/5 + 21/5)*s ≥ -4
(23/5)*s ≥ -4
s ≥ -4*5/23
s ≥ -20/23
s ≥ -0.86
The graph of this will something like the one below:
Learn more about inequalities at:
https://brainly.com/question/24372553
#SPJ1
Graph the relation shown in the table. Is the relation a function? Why or why not? {(-1, 9), (0, -1), (-1, 4), (4, 9)}
Answer:
Not a function
Step-by-step explanation:
For an equation to be a function, there should be only one y-coordinate per x-coordinate. Since this relation has both (-1,9) and (-1,4), this is not a function.
Answer:not a function
Step-by-step explanation:
because when you put the points on the coordinate plane your shape will come out as a v shaped object. In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers
pls help help helppppp
Answer:
1:59 bro ...........................
Answer:
1.59
Step-by-step explanation:
1 pound + 59pence as interest= 1.59
Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that Cynthia can make to check her answer?
A. 0.4 − 0.2
B. 0.5 − 0.2
C. 0.5 − 0.1
D. 0.6 − 0.2
Answer:
b
Step-by-step explanation:
0.223 rounds to 0.2 and 0.54 rounds to 0.5 so 0.5-0.2
The scatter plot shows the systolic blood pressure of people of several different ages. the equation represents the linear model for this data. y = x 95 according to the model, what is the systolic blood pressure of a newborn? responses 0 mm hg 0 mm hg 55 mm hg 55 mm hg 95 mm hg 95 mm hg 110 mm hg 110 mm hg 160 mm hg
By using linear equations it can be concluded that the systolic blood pressure of a newborn is 95 mm hg.
Linear equations are one of the equations of algebra where this equation contains constants with a single variable.
The equation represents the linear model for the systolic blood pressure of people of several different ages data is y = x + 95.
We want to know the systolic blood pressure of a newborn, which means that the age is 0. It can be written mathematically as x = 0.
Now we input this value into the equation:
y = x + 95
= 0 + 95
= 95 mm hg
Thus the systolic blood pressure of a newborn is 95 mm hg.
To learn more about linear equations, click here: https://brainly.com/question/26538375
#SPJ4
Mr. Vazquez determines that the area of a bathroom in his house is 25 square feet less than 1/5 of the area of the living room. If the bathroom measures 35 square feet, what is the area of the living room? square feet=
Answer: 300 sq. ft
Step-by-step explanation:
1/5x - 25 = 35
1/5 x = 35+25
x = 60 * 5 = 300 sq. ft.
Answer:
300
Step-by-step explanation:
I did it on edge
rebecca puts her backpack on a fan cart and turns the fan on. she then measures the speed each second afterward. at 10 seconds the cart has a speed of 20 cm per second. how fast will the cart be moving at 12 seconds?
At 12 seconds, the cart will be moving at 24 cm per second.Rebecca is using a fan cart and measuring the rate of the cart at different times.
Rebecca is using a fan cart and measuring the rate of the cart at different times. At 10 seconds, the cart has a speed of 20 cm per second. To calculate the speed at 12 seconds, you can use the formula rate x time = distance. The rate is the speed of the cart at 10 seconds, which is 20 cm per second. The time is the difference between 10 seconds and 12 seconds, which is 2 seconds. Thus, the equation becomes 20 cm/s x 2s = 40 cm. Therefore, the speed at 12 seconds is 24 cm per second.
At 12 seconds, the cart will be moving at 24 cm per second.
Learn more about rate here
https://brainly.com/question/13481529
#SPJ4