A jar can hold of a pound of flour. Austin empties of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.

Applying the triangle sum theorem, the size of ∠BDC = 95°.

All three interior angles of any triangle have a sum that equals 180 degrees, based on the triangle sum theorem.

The diagram attached below shows the following:

Thus:

55 + 2x + 3x + 25 = 180 (triangle sum theorem).

80 + 5x = 180

5x = 180 - 80

5x = 100

x = 20

Therefore,

m∠BDC = 180 - (3x + 25) (triangle sum theorem)

m∠BDC = 180 - (3(20) + 25)

m∠BDC = 95°

Therefore, applying the triangle sum theorem, the size of ∠BDC = 95°.

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

Answer:

Q₂ = 78

Step-by-step explanation:

Q₂ is the median of the data set.

The median is the middle value of the data arranged in ascending order.

If there is no exact middle value then it is the average of the values either side of the middle.

48,  64,  66,  70,  72,  84,  86,  90,  92,  94 ← in ascending order

                                 ↑ middle

median Q₂ = \(\frac{72+84}{2}\) = \(\frac{156}{2}\) = 78

A nurse provides a back massage as a palliative care measure to a client who is unconscious, grimacing, and restless.

The therapeutic response that the nurse should identify in the client after a back massage includes relaxing of facial muscles and the pulse remaining within the expected range.
Massage is a fundamental nursing measure that is often utilized as part of palliative care for patients. The purpose of back massage is to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nursing assessment of the patient before and after the massage is essential to determine its effectiveness as a therapeutic intervention for the patient.
When providing back massage as a palliative care measure to an unconscious, grimacing, and restless client, the nurse should identify several therapeutic responses as follows;
The shoulders droop: The nurse should expect the shoulders of the client to relax during massage therapy. If this occurs, it is a sign that the patient is experiencing relaxation and tension relief.
The facial muscles relax: Relaxation of the facial muscles is a common therapeutic response during back massage. The nurse should observe the patient's face for any signs of relaxation, which may include softening of facial lines, eyelids drooping, or a general expression of peacefulness.
The respiratory rate (RR) decreases: The nurse should expect the client's respiratory rate to decrease during a back massage. This is because relaxation stimulates the parasympathetic nervous system, resulting in decreased respiratory rate, heart rate, and blood pressure.
The pulse is within the expected range: The nurse should expect the client's pulse to remain within the expected range during a back massage. A normal pulse rate is between 60-100 beats per minute for adults. If the pulse remains within this range, it is a sign that the patient is responding positively to the massage therapy.

In conclusion, providing back massage as a palliative care measure to an unconscious, grimacing, and restless client can help to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nurse should identify therapeutic responses in the patient during the massage therapy, which may include relaxation of the shoulders, facial muscles, decreased respiratory rate, and pulse remaining within the expected range.

To know more about blood circulation visit:

brainly.com/question/28915450

#SPJ11

The division yields 1/14 for the complex fraction.

Division is one of the four basic operations of arithmetic, along with addition, subtraction, and multiplication. It is an inverse operation to multiplication, meaning that dividing by a number is the same as multiplying by its reciprocal. Division can be thought of as the process of finding how many times a number (the divisor) can fit into another number (the dividend). The result of the division is called the quotient. In some cases, the division may result in a fractional number, representing a partial division. In this case, the result is a rational number, which is a type of real number. Division can also be represented using long division, a method used to divide large numbers or polynomials. It involves dividing the dividend by the divisor one digit at a time, until the division is complete.

Here,

=22/44/7

=22/44*1/7

=1/14

The answer for the complex fraction is 1/14 by the division.

To know more about division,

https://brainly.com/question/28598725

#SPJ1

Stephanie would not be able to rescind the contract because she made a unilateral mistake, and it was not a bilateral mistake.

In contract law, a unilateral mistake occurs when one party to a contract is mistaken about a material fact related to the agreement. However, the general rule is that unilateral mistakes do not provide grounds for rescission of a contract. The reason for this is that contract law places a higher emphasis on the principle of enforceability and preventing one party from unilaterally avoiding their obligations based on their own mistake.

In this case, Stephanie's mistaken belief that the painting was directly painted by Van Gogh, rather than his student, constitutes a unilateral mistake. It is important to note that the art expert's opinion, though incorrect, did not induce Stephanie's mistake or misrepresent the nature of the painting. Stephanie made the decision to sell the painting to Charlie based on her own belief and understanding of its value.

Option d is the correct choice: No, because Stephanie made the mistake, and it was not a bilateral mistake. Stephanie's mistake was unilateral, meaning it was her own error in judgment. A bilateral mistake, on the other hand, occurs when both parties to a contract share a common misunderstanding or mistake about a material fact. In such cases, the contract may be voidable by either party since there was no true "meeting of the minds."

Moreover, the exchange of consideration further strengthens Charlie's position as a bona fide purchaser. Charlie purchased the painting for $15,000.00, and consideration is a fundamental element in the formation of a contract. Once consideration is exchanged, it signifies that the parties have entered into a binding agreement, and it may limit the grounds for rescission.

In conclusion, based on the unilateral nature of Stephanie's mistake and the presence of consideration, Stephanie would not be able to rescind the contract. Therefore, option d is the correct choice.

Learn more about bilateral here

https://brainly.com/question/28384137

#SPJ11

The Copper river school district has collected data on class size in the district. The table presents the class sizes for five randomly selected seventh- and eighth-grade classes. The data shows that the class sizes range from 20 to 30 students, with an average class size of 25 students. These figures indicate that the district may be facing challenges with overcrowding in some classes, while others may be underutilized. The district may need to consider implementing strategies to balance class sizes, such as hiring additional teachers, creating new classes or adjusting the school schedules. This would improve the quality of education and learning outcomes for the students.

The Copper river school district has conducted research on class sizes in the district and identified the class sizes for five randomly selected seventh- and eighth-grade classes. The data collected show that the range of class sizes is from 20 to 30 students, with an average class size of 25 students. This indicates that some classes may be overcrowded while others are underutilized. To ensure an equitable and quality education for all students, the district should consider implementing strategies to balance the class sizes.

In conclusion, the data collected by the Copper river school district indicates that the district is facing challenges with class sizes, which may affect the quality of education and learning outcomes for students. The district should consider implementing strategies to balance the class sizes to ensure an equitable and quality education for all students.

To know more about Range visit:

https://brainly.com/question/28135761

#SPJ11

The characteristics of the normal distribution can be used to determine the likelihood that X equals 19.62 because X is a normally distributed random variable with a mean of 12 and a standard deviation of 3.

We must compute the z-score, which counts the number of standard deviations a given result is from the mean, in order to determine this probability. Calculating the z-score is as follows:

z = (x - μ) / σ

If the supplied value, x, the mean, and the standard deviation are all given.In this instance, x=19.62, =12, and =3 respectively. By replacing these values, we obtain:

z = (19.62 - 12) / 3 ≈ 2.54

learn more about characteristics here :

https://brainly.com/question/31108192

#SPJ11

The linear function is 2/3 x=y-1. Therefore, option D is the correct answer.

A linear function is a function that represents a straight line on the coordinate plane. The standard form of a linear function is y = mx + b.

Here, 'm' is the slope of the line, 'b' is the y-intercept of the line, 'x' is the independent variable and 'y' (or f(x)) is the dependent variable.

Option A:

In the function y=3x², the highest degree is 2, so it is quadratic function.

Option B:

The function y=1/3x is not a linear function.

Option C:

In the function y=x³+5, the highest degree is 3, so it is cubic function.

Option D:

In the function 2/3 x=y-1, the highest degree is 1, so it is linear function.

The linear function is 2/3 x=y-1. Therefore, option D is the correct answer.

To learn more about the linear function visit:

https://brainly.com/question/17058347.

#SPJ1

Answer:

132,  since that angle is corresponding to the line below it.

Using the rule of corresponding angles, we can determine that the transversal line that is intersecting the two parallel lines make x = 132.

To solve the initial value problem y" + 4y = 4u_n(t), where y(0) = 0 and y'(0) = 1, we will follow these steps:

a. Find the Laplace transform of the solution y(t).

The Laplace transform of the given differential equation can be obtained using the properties of the Laplace transform. Taking the Laplace transform of both sides, we get:

s^2Y(s) - sy(0) - y'(0) + 4Y(s) = 4U_n(s),

where Y(s) represents the Laplace transform of y(t) and U_n(s) is the Laplace transform of the unit step function u_n(t).

Since y(0) = 0 and y'(0) = 1, the equation becomes:

s^2Y(s) - s(0) - 1 + 4Y(s) = 4U_n(s),

s^2Y(s) + 4Y(s) - 1 = 4U_n(s).

Taking the inverse Laplace transform of both sides, we obtain the solution in the time domain:

y''(t) + 4y(t) = 4u_n(t).

b. Find the solution y(t) by inverting the transform.

To find the solution y(t) in the time domain, we need to solve the differential equation y''(t) + 4y(t) = 4u_n(t) with the initial conditions y(0) = 0 and y'(0) = 1.

The homogeneous solution to the differential equation is obtained by setting the right-hand side to zero:

y''(t) + 4y(t) = 0.

The characteristic equation is r^2 + 4 = 0, which has complex roots: r = ±2i.

The homogeneous solution is given by:

y_h(t) = c1cos(2t) + c2sin(2t),

where c1 and c2 are constants to be determined.

Next, we find the particular solution for the given right-hand side:

For t < n, u_n(t) = 0, and for t ≥ n, u_n(t) = 1.

For t < n, the particular solution is zero: y_p(t) = 0.

For t ≥ n, we need to find the particular solution satisfying y''(t) + 4y(t) = 4.

Since the right-hand side is a constant, we assume a constant particular solution: y_p(t) = A.

Plugging this into the differential equation, we get:

0 + 4A = 4,

A = 1.

Therefore, for t ≥ n, the particular solution is: y_p(t) = 1.

The general solution for t ≥ n is given by the sum of the homogeneous and particular solutions:

y(t) = y_h(t) + y_p(t)

y(t) = c1cos(2t) + c2sin(2t) + 1.

Using the initial conditions y(0) = 0 and y'(0) = 1, we can determine the values of c1 and c2:

y(0) = c1cos(0) + c2sin(0) + 1 = c1 + 1 = 0,

c1 = -1.

y'(t) = -2c1sin(2t) + 2c2cos(2t),

y'(0) = -2c1sin(0) + 2c2cos(0) = 2c2 = 1,

c2 = 1/2.

To learn more about inverse : brainly.com/question/30339780

#SPJ11

Answer:122 days

Step-by-step explanation:

The probability  is 0.0808 or 8.08%

To answer this question, we need to use the normal distribution formula:

Z = (X - μ) / σ

where:

Z = the standard score or z-score

X = the value we want to find the probability for (in this case, X = 173)

μ = the mean (μ = 180)

σ = the standard deviation (σ = 5)

Substituting the values, we get:

Z = (173 - 180) / 5 = -1.4

Using a calculator or a standard normal distribution table, we can now determine the likelihood of getting a value below -1.4.

We can determine the probability that corresponds to a z-score of -1.4 by using a standard normal distribution table, which is approximately 0.0808.

Therefore, the probability of getting less than 173 calls during a given hour of the day is 0.0808 or 8.08% (rounded to the nearest thousandth).

know more about probability visit

https://brainly.com/question/30034780

#SPJ1

The conditional probability that Eric is a high-risk driver after continuing driving for three years with no traffic accidents can be calculated using Bayes' Theorem.

The formula for Bayes' Theorem is:

P(A|B) = P(B|A) x P(A) / P(B)

where:P(A|B) is the conditional probability of event A given event BP(B|A) is the conditional probability of event B given event AP(A) is the prior probability of event A, and P(B) is the prior probability of event B.Assuming that Eric is a high-risk driver with a probability of 0.15 (i.e. P(A) = 0.15), and the probability of a driver having no accidents in three years is 0.97 (i.e. P(B|A) = 0.97), the probability of any driver having no accidents in three years is 0.99 (i.e. P(B) = 0.99), then the conditional probability of Eric being a high-risk driver given that he has no accidents in three years is:

P(A|B) = 0.97 x 0.15 / 0.99

Eric from Exercise 3.29 has continued driving without experiencing any traffic accidents in three years. To determine the conditional probability that he is a high-risk driver, Bayes' theorem can be used. This formula considers the conditional probability of event A given event B in light of the prior probability of both events.Based on the information provided, it is assumed that Eric has a 0.15 probability of being a high-risk driver (P(A) = 0.15). Additionally, there is a 0.97 chance that a high-risk driver would not experience an accident in three years (P(B|A) = 0.97). Finally, any driver has a 0.99 probability of avoiding accidents in three years (P(B) = 0.99).Thus, the conditional probability of Eric being a high-risk driver given that he has no accidents in three years can be calculated using Bayes' theorem:P(A|B) = P(B|A) x P(A) / P(B)= 0.97 x 0.15 / 0.99= 0.0145 or 1.45%Therefore, the conditional probability that Eric is a high-risk driver after three years of driving with no traffic accidents is 1.45%.

Eric has not experienced a traffic accident in three years of driving. The conditional probability that he is a high-risk driver in this scenario is low, calculated as 1.45% using Bayes' theorem. Therefore, the chance of Eric being classified as a high-risk driver despite not experiencing an accident in three years is small.

To learn more about conditional probability visit:

brainly.com/question/30144287

#SPJ11

Answer:

see explanation

Step-by-step explanation:

To determine if (3, 1 ) is a solution to the system

Substitute x = 3 into both equations and evaluate. If the result is y = 1 for both then the point is a solution.

y = \(\frac{4}{3}\) × 3 - 3 = 4 - 3 = 1

y = - 2(3) + 7 = - 6 + 7 = 1

Since both equations equal 1 then

(3, 1 ) is a solution to the system

Answer:

18 liters of water to water 40 flower pots

Step-by-step explanation:

Because you doubled the amount of flower pots and you just do the same thing with the water

Answer:

send the complete question . there are some missing signs .

To convert 1/5 to a decimal number by long division, we divide 1 by 5 and keep adding 0s to the dividend until we have enough decimal places and 1/5 as a decimal number is 0.2.

0.2 | 1.0000

   |-------

   | 0

   |----

     1

So, 1/5 as a decimal number is 0.2.

Part O:

If we keep repeating the division process in part N, we will get the same result of 0.2 because 1/5 has a finite decimal representation.

Part P:

From the three long-division calculations we have completed, we can conclude that the quotient, or result, from the long-division process can either end or continue indefinitely.

In part N, we found that 1/5 has a finite decimal representation, so the long division process ended.

However, for other fractions, such as 1/3, the long division process will continue indefinitely because the quotient has a repeating pattern of digits.

Read more about long division here:

https://brainly.com/question/25289437

#SPJ1

2 is the answer of the question

Answer: 6/5 and -3/4

Step-by-step explanation:

(2x-3)/9=(3x-4)/6

18*(2x-3)/9=18*(3x-4)/6

2(2x-3)=3*(3x-4)

4x-6=9x-12

-5x=-6

x=6/5

(8x+2)/4=4x/3

12*(8x+2)/4=12*4x/3

3(8x+2)=4*4x

24x+6=16x

8x=-6

x=-3/4

Answer:

D

Step-by-step explanation:

To answer this question, we're going to have to calculate the rate of change for each of the relationships and then figure out which one is less than \(\frac{3}{4}\). So, let's do that!

Which of these has a rate of change less than \(\frac{3}{4}\)? Well, the only one that has a rate of change less than this is option D, since not only is the rate of change negative, but \(\frac{5}{8}\) = 0.625 while \(\frac{3}{4}\) = 0.75.

Hopefully, that's helpful. If you have further questions, let me know.

=====================================================

Explanation:

The given equation y = (3/4)x - 1 is of the form y = mx+b

For any linear equation, the rate of change is the same as the slope.

We're looking to see which linear function has a slope smaller than 0.75

---------------------

Choice A  shows a graph of a straight line through the two points (0,-2) and (1,0)

To go from (0,-2) to (1,0) we do these two things in either order:

This "up 2, right 1" pattern leads to the slope = rise/run = 2/1 = 2

Graph A has a slope of 2 which is not smaller than 0.75, so we cross choice A off the list.

An alternative would be to use the slope formula (see parts B through D).

---------------------

Choice B is a table of values. Each row is a separate (x,y) point.

Let's pick the first two rows to generate the points (-4,-10) and (0,-5)

Apply the slope formula on those points.

\((x_1,y_1) = (-4,-10) \text{ and } (x_2,y_2) = (0,-5)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-5 - (-10)}{0 - (-4)}\\\\m = \frac{-5 + 10}{0 + 4}\\\\m = \frac{5}{4}\\\\m = 1.25\)

The slope is 5/4 aka 1.25

1.25 is not smaller than 0.75, so we cross choice B off the list.

---------------------

Choice C is a line through (0,-2) and (4,1)

Use the slope formula again, or use the trick mentioned in part A.

I'll use the slope formula.

\((x_1,y_1) = (0,-2) \text{ and } (x_2,y_2) = (4,1)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{1 - (-2)}{4 - 0}\\\\m = \frac{1 + 2}{4 - 0}\\\\m = \frac{3}{4}\\\\m = 0.75\)

This is not smaller than 0.75, so we move on.

Choice D should be the answer because it's the only thing left.

---------------------

For choice D we have a table of values.

Pick two rows at random. I'll pick the first two rows to get the points (4, -7) and (6,-12)

Use the slope formula.

\((x_1,y_1) = (4,-7) \text{ and } (x_2,y_2) = (6,-12)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-12 - (-7)}{6 - 4}\\\\m = \frac{-12 + 7}{6 - 4}\\\\m = -\frac{5}{2}\\\\m = -2.5\)

This slope -2.5 is smaller than 0.75, so we have found the final answer.

Answer:

  A, B, C

Step-by-step explanation:

The given formula tells you that to find distance, you multiply speed by time. When you do that, you get:

  A) (40 km/h)(3 h) = 120 km

  B) (60 km/h)(2 h) = 120 km

  C) (30 km/h)(4 h) = 120 km

  D) (25 m/h)(5 h) = 125 km

Choices A, B, C each total 120 km.

Since we're talking about dimensions, the only solution that makes sense in the context of the problem is W1, because we cannot have negative measurements.

Hi! I'm happy to help!

To solve this, we first need to know what scientific notation is. Scientific notation is a way a number is written. You write it using a number ranging from 1 to <10. Then, you multiply this number by \(10^{x}\).

In order to make this number reasonable for scientific notation, you have to move the decimal a certain amount of places. In this case you move it 3 places to the right to make your number 2.349. Since we moved it 3 places to the right our x will be -3. (If we'd moved it 3 places to the left, our x would be positive 3.)

So now, we insert our numbers:

2.349·\(10^{-3}\)

You write 0.002349 like 2.349·\(10^{-3}\), when it is in scientific notation.

I hope this was helpful, keep learning! :D

There are 90 different outfits he can wear if he has to wear slacks and a shirt along with his 3 sport coats and 1 tie.

Here, we can use the multiplication principle of counting to determine the number of possible outfits a man can wear given that he must wear at least one pair of slacks and one shirt. Let us denote sport coats as A, B, and C; slacks as P1, P2, P3, P4, and P5; shirts as S1, S2, S3, S4, S5, and S6; and the tie as T.

Then, the number of outfits he can wear is given by the product of the number of choices for each item as follows: Total outfits = (Number of sport coats) × (Number of slacks) × (Number of shirts) × (Number of ties)= 3 × 5 × 6 × 1= 90. Differentiating between the cases where he wears only one shirt and one pair of slacks from those where he wears two or more of each is unnecessary because the problem statement requires that he wears at least one of each.

Therefore, we can calculate the total number of outfits directly using the multiplication principle of counting, which gives us the answer of 90 different outfits he can wear if he has to wear slacks and a shirt along with his 3 sport coats and 1 tie.

Learn more about multiplication principle here:

https://brainly.com/question/17514196

#SPJ11

1. c = -2/3

2. P(Y > k) = -2/3 * (3 / (-2)) = 1

3.  P(Z > k) = 1 * 1 = 1.

4. The probability mass function of Z is a constant function equal to 1 for all values of k.

(i) To find the value of c, we need to calculate the normalizing constant that ensures the sum of probabilities equals 1 for the probability mass function of Y.

We know that for k ≥ 2, P(Y = k) = c * (3).

To find the value of c, we sum up the probabilities for k = 2, 3, ...

∑P(Y = k) = ∑[c * (3)] = c * ∑(3) = c * (3 + 3 + ...)

Since Y is a discrete random variable, the sum ∑(3) is an infinite geometric series with a common ratio of 3 and the first term 3.

Using the formula for the sum of an infinite geometric series, we have:

∑(3) = 3 / (1 - 3) = 3 / (-2) = -1.5

Therefore, we have:

c * (-1.5) = 1

Solving for c, we get:

c = -2/3

(ii) To find P(X > k), we sum up the probabilities of X being greater than k:

P(X > k) = P(X = k+1) + P(X = k+2) + ...

Using the given probability mass function for X, we have:

P(X > k) = [()(k+1) + ()(k+2) + ...]

Simplifying, we get:

P(X > k) = [(k+1)* + (k+2)* + ...]

Similarly, for P(Y > k), we have:

P(Y > k) = ∑[c*(3)] from k+1 to infinity

P(Y > k) = c * ∑(3) from k+1 to infinity

Using the same infinite geometric series formula, we get:

P(Y > k) = c * (3 / (1 - 3)) from k+1 to infinity

P(Y > k) = -2/3 * (3 / (-2)) = 1

(iii) To find P(Z > k), we can consider the minimum of X and Y.

Since X and Y are independent, we have:

P(Z > k) = P(X > k) * P(Y > k)

From the previous calculations, we know that P(X > k) = P(Y > k) = 1.

Therefore, P(Z > k) = 1 * 1 = 1.

(iv) The probability mass function of Z is given by:

P(Z = k) = P(X > k) * P(Y > k) = 1 * 1 = 1

So, the probability mass function of Z is 1 for all values of k.

In summary, the probability mass function of Z is a constant function equal to 1 for all values of k.

Learn more about probability  from

https://brainly.com/question/30390037

#SPJ11

When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.

Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.

Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.

learn more about derivatives :

https://brainly.com/question/25324584

#SPJ4

When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.

To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.

Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.

About second derivative here:

https://brainly.com/question/29090070

#SPJ11

The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

To know more about equilibrium refer here:

https://brainly.com/question/14281439?#

#SPJ11

Answer:

26 sq units.......