How about finding the identity of thirty coins whose value is $1.00?

Answers

Answer 1

Answer:

2 dime

13 nickle

15 pennies

Step-by-step explanation:


Related Questions

which statement correctly describes two triangles that are similar ?

which statement correctly describes two triangles that are similar ?

Answers

C

1) Since by definition, similar triangles have proportional sides and congruent angles, then examining the options

2) The right option is the 3rd one. The distance between the vertices is proportional (length) and the measure of the corresponding angle are the same (congruent to each other)

ectangular prism is made up of multiple layers with 9 cubes in each layer. Each cube measures 2/3 of an inch on each side. The volume of the rectangular prism is 10 2 /3 cubic inches. How many layers of cubes are in this prism? '

Answers

The number of layers of cubes present in the rectangular prism of volume 102/3 in³ is 7.

What is  volume?

Volume is defined as the space occupied within the boundaries of any three-dimensional solid.

To calculate the number of layers of cubes in the prism, we use the formula below.

n = V/9l³............Equation 1

Where:

n = Number of layers in the prismV = Volume of the rectangular prisml = Length of each cube.

From the question,

Given:

V = 102/3 in³l = 2/3 in³

Substitute these values into equation 1

n = 102/3/(9×2/3)n = 102/3/(18/3)n = 5.66n ≈ 7

Hence, there are 7 layers in the rectangular prism.

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For a cell formed by a Zn plate immersed in a 0.1000 mol/L solution of Zn2+ ions connected by a wire and a salt bridge to a Cu plate immersed in a 0.0010 mol/L solution of Cu2+ ions, Answer.
(Data Zn2+|Zn = -0.76 V and Cu2+|Cu = 0.34 V ).
a) the cell diagram
b) the oxidation and reduction half reactions
c) the standard cell potential
d) the cell potential for the concentrations mentioned above
e) the equilibrium constant

Answers

The cell potential for the given concentrations is 1.041 V.

a) The cell diagram for the given cell can be represented as follows:

Zn(s) | Zn2+(0.1000 mol/L) || Cu2+(0.0010 mol/L) | Cu(s)

b) The oxidation half-reaction occurs at the anode (Zn electrode), where Zn atoms lose electrons to form Zn2+ ions. The reduction half-reaction occurs at the cathode (Cu electrode), where Cu2+ ions gain electrons to form Cu atoms. The half-reactions are as follows:

Oxidation: Zn(s) -> Zn2+(aq) + 2e^-
Reduction: Cu2+(aq) + 2e^- -> Cu(s)

c) The standard cell potential, E°, is the potential difference between the two half-cells when all components are at standard conditions (1 mol/L and 1 atm pressure). The standard cell potential can be calculated by subtracting the reduction potential of the anode from the reduction potential of the cathode. In this case:

E° = E°(Cu2+|Cu) - E°(Zn2+|Zn)
  = 0.34 V - (-0.76 V)
  = 1.10 V

d) To calculate the cell potential under the given concentrations, we need to use the Nernst equation:

E = E° - (0.0592 V/n) * log(Q)

Where:
E is the cell potential
E° is the standard cell potential
n is the number of electrons transferred in the balanced equation
Q is the reaction quotient

In this case, the balanced equation for the cell reaction is:

Zn(s) + Cu2+(aq) -> Zn2+(aq) + Cu(s)

Since the coefficients in the balanced equation are 1, n = 2. The reaction quotient, Q, can be calculated as follows:

Q = [Zn2+]/[Cu2+]
 = (0.1000 mol/L) / (0.0010 mol/L)
 = 100

Substituting the values into the Nernst equation:

E = 1.10 V - (0.0592 V/2) * log(100)
 = 1.10 V - 0.0296 V * log(100)
 = 1.10 V - 0.0296 V * 2
 = 1.10 V - 0.0592 V
 = 1.041 V

Therefore, the cell potential for the given concentrations is 1.041 V.

e) The equilibrium constant, K, can be calculated using the equation:

E° = (0.0592 V/n) * log(K)

Rearranging the equation, we have:

K = 10^((E° * n) / 0.0592)

Substituting the values:

K = 10^((1.10 V * 2) / 0.0592)
 = 10^(36.82)
 ≈ 1.4 x 10^36

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a) The cell diagram is Zn(s) | Zn2+(aq, 0.1000 M) || Cu2+(aq, 0.0010 M) | Cu(s).
b) The oxidation half-reaction is Zn(s) → Zn2+(aq) + 2e-, and the reduction half-reaction is Cu2+(aq) + 2e- → Cu(s).
c) The standard cell potential (E°cell) is 1.10 V.
d) The cell potential (Ecell) for the given concentrations can be calculated using the Nernst equation.
e) The equilibrium constant (K) can be calculated using the equation E°cell = (0.0592 V/n) * log10(K).

a) The cell diagram for the given cell is as follows:
Zn(s) | Zn2+(aq, 0.1000 M) || Cu2+(aq, 0.0010 M) | Cu(s)

b) The oxidation and reduction half-reactions in the cell are:
Oxidation half-reaction: Zn(s) → Zn2+(aq) + 2e-
Reduction half-reaction: Cu2+(aq) + 2e- → Cu(s)

c) The standard cell potential (E°cell) can be calculated by subtracting the reduction potential of the anode from the reduction potential of the cathode. In this case, E°cell = E°cathode - E°anode = 0.34 V - (-0.76 V) = 1.10 V.

d) The cell potential (Ecell) for the given concentrations can be calculated using the Nernst equation:
Ecell = E°cell - (0.0592 V/n) * log10(Q)
where Q is the reaction quotient and n is the number of moles of electrons transferred in the balanced equation.

Since the cell is at equilibrium, Q = K (the equilibrium constant) and log10(K) = (n * E°cell) / (0.0592 V).

e) To calculate the equilibrium constant (K), we can use the equation:
E°cell = (0.0592 V/n) * log10(K)

Since the cell potential (E°cell) is given as 1.10 V and the number of moles of electrons transferred (n) is 2, we can solve for log10(K) and then find K by taking the antilog.

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Which of the following situations best matches the data in the table?

Which of the following situations best matches the data in the table?

Answers

Answer:

It's C

Step-by-step explanation:

Because I'm BIG-BRAINED

a prescription for ear drops specifies that the patient put 2 drops in each ear twice a day for 9 days. approx how many millilitres of medication would be needed for this prescription? ( dosage×frequency×day supply )

Answers

approximately 3.6 milliliters of medication would be needed for this prescription.

To calculate the total milliliters of medication needed for this prescription, we will use the formula dosage × frequency × day supply.

In this case, the dosage is 2 drops per ear, the frequency is twice a day, and the day supply is 9 days.

First, let's find out how many drops are needed per day:
2 drops/ear × 2 ears = 4 drops
Since the frequency is twice a day, multiply this number by 2:
4 drops × 2 = 8 drops per day

Now, multiply the number of drops per day by the day supply (9 days):
8 drops/day × 9 days = 72 drops

Typically, 1 drop is approximately 0.05 millilitres. To find out how many millilitres of medication are needed, multiply the total number of drops by the volume of one drop:

72 drops × 0.05 mL/drop = 3.6 mL

So, approximately 3.6 millilitres of medication would be needed for this prescription.

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Approximately 1.8 milliliters of medication would be needed for this prescription.

To calculate how many milliliters of medication would be needed for this prescription, we need to use the following formula:

dosage × frequency × day supply.
The dosage is 2 drops, the frequency is twice a day, and the day supply is 9 days.
First, we need to convert drops to milliliters.

One drop is equal to approximately 0.05 milliliters.

2 drops would be equal to 0.1 milliliters.
Next, we can plug in the values into the formula:
\(0.1 milliliters/drop \times 2 drops/twice a day \times 9 days = 1.8 milliliters. \)

The patient will be using exactly 2 drops in each ear for each dose, and that there will be no waste or spillage of the medication.

To determine how many milliliters of medicine would be required for this prescription:

dose frequency day supply.

The recommended dosage is 2 drops, twice day, with a 9-day supply.

We must first convert droplets to milliliters.

A drop is around 0.05 milliliters in volume. As a result, 2 drops are equivalent to 0.1 milliliters.

The values may then be entered into the formula as follows:

0.1 milliliters each drop times twice daily for nine days equals 1.8 milliliters.

As a result, this prescription would require about 1.8 milliliters of medicine.

It's crucial to note that this estimate is predicated on the patient applying precisely 2 drops to each ear for each dose.

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write the quotient 5/3-i in the form a+bi

Answers

The equivalent of the quotient expression 5/3-i is 1.5 + 0.5i

How to rewrite the quotient?

From the question, the expression is given as

5/3-i

Rewrite the above expression properly

So, we have

5/(3 - i)

Rationalize the above expression

So, we have the following equation represented as

5/(3 - i) = 5/(3 - i) * (3 + i)/(3 + i)

Evaluate the products in the above equation

So, we have

5/(3 - i) = (15 + 5i)/(9 + 1)

Evaluate the difference and the sum

5/(3 - i) = (15 + 5i)/10

Divide

5/(3 - i) = 15/10 + 5i/10

So, we have

5/(3 - i) = 1.5 + 0.5i

Hence, the equivalent expression is 1.5 + 0.5i

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6) find HJ
8)find IK

6) find HJ8)find IK

Answers

Answer:

HJ = 17

IK = 30

Step-by-step explanation:

to find HI :

GH : 2

HI : ?

IJ : 12

GI : 7

HI = GI - GH

HI = 7- 2

HI = 5

HI + IJ = HJ

5 + 12 = HJ

17 = HJ

To find IK

IJ = ?

JK = 12

KL = ?

IL = 49

JL = 31

To find IK we need to find KL and IJ

KL = JL - JK

KL = 31 - 12

KL = 19

IJ = IL - (JK + KL)

IJ = 49 - 31

IJ = 18

IK = IJ + JK

IK = 18 + 12

IK = 30

If x is TRUE and y is TRUE, what is ((x AND y)' AND (x' OR
y')')' ?
1: TRUE
2: FALSE

Answers

The expression ((x AND y)' AND (x' OR y')')' evaluates to TRUE. In other words, the answer is 1: TRUE. ((x AND y)' AND (x' OR y')')'. The single quotes (') represent the logical negation or complement of the variable or expression.

1. Since x and y are both TRUE, their negations (x' and y') are both FALSE. The OR operation between x' and y' results in FALSE. Then, the expression becomes ((x AND y)' AND FALSE)', and the AND operation between (x AND y)' and FALSE also yields FALSE. Finally, the negation of FALSE, represented by the outermost single quote, gives us TRUE as the final result.

2. Given that x is TRUE, x' is FALSE. Similarly, since y is TRUE, y' is FALSE. The expression x AND y evaluates to TRUE since both x and y are TRUE. The complement of TRUE, represented by (x AND y)', becomes FALSE. Moving on to x' OR y', the OR operation between FALSE (x') and FALSE (y') also yields FALSE. Now, we have ((x AND y)' AND FALSE)', which simplifies to (FALSE AND FALSE)', resulting in FALSE. Finally, the negation of FALSE, denoted by the outermost single quote, gives us TRUE. Thus, the overall answer to the expression is TRUE.

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A. No, because the alternatives are not quantifiable. B. Yes, because the alternatives are quantifiable. C. No, because the alternatives are quantifiable. D. Yes, because the alternatives are not quantifiable. Deciding on the paint colour for the factory floor A. Yes, because the alternatives are not quantifiable. B. No, because the alternatives are quantifiable. C. Yes, because the alternatives are quantifiable. D. No, because the alternatives are not quantifiable. Hiring a new engineer A. No, since the qualities of a candidate can all be made quantifiable. B. No, since selection involves many intangible qualifications. C. Yes, since the qualities of a candidate can all be made quantifiable. D. Yes, since selection involves many intangible qualifications. Extending the cafeteria business hours A. Yes, because the benefits are non-quantifiable. B. No, because there are quantifiable costs and benefits. C. No, because the benefits are non-quantifiable. D. Yes, because there are quantifiable costs and benefits. Deciding which invoice forms to use A. No, because there the alternatives are definitely non-quantifiable. B. Yes, because there the alternatives are definitely non-quantifiable. C. Yes, because the alternatives are hard to quantify. D. No, because the alternatives are hard to quantify. Changing the 8-hour work shift to a 12-hour one A. Yes, but only if the effects are quantifiable. B. Yes, because the effects are not quantifiable. C. No, because the effects are not quantifiable. D. Yes, because the length of the shift is a quantity. Building a new factory A. Yes, because the alternatives are quantifiable. B. Yes, because the alternatives are not quantifiable. C. No, because the alternatives are not quantifiable. D. No, because the alternatives are quantifiable.

Answers

A. No, because the alternatives are not quantifiable.

B. No, because the alternatives are quantifiable.

C. Yes, because the alternatives are quantifiable.

D. Yes, because the alternatives are not quantifiable.

In decision-making, the quantifiability of alternatives refers to the ability to assign numerical values or measures to different options. Option A states that the alternatives are not quantifiable, suggesting that they cannot be measured or compared using numerical values. On the other hand, option B asserts that the alternatives are quantifiable, indicating that they can be measured and compared using quantifiable criteria.

To determine the correct answer for each scenario, we need to consider the nature of the decision and whether the alternatives involved can be assigned numerical values or measures. For example, when deciding on the paint color for the factory floor or extending cafeteria business hours, the alternatives may involve both quantifiable costs and benefits, making option B the appropriate choice.

However, in scenarios such as hiring a new engineer or changing the work shift, the qualities, qualifications, or effects involved may not be easily quantifiable, leading us to choose options D and C, respectively.

Ultimately, the correct answer depends on the specific context and the extent to which the alternatives can be measured or compared using quantifiable criteria.

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How do you know the answer is reasonable when converting a larger unit to a smaller unit?

Answers

To ensure the answer is reasonable when converting a larger unit to a smaller unit, multiply by the conversion factor, check the resulting value, and perform the reverse conversion.

To know if the answer is reasonable when converting a larger unit to a smaller unit, follow these steps:
1. Multiply the given value by the conversion factor from the larger unit to the smaller unit.
2. Check if the resulting value is a reasonable amount for the smaller unit. For example, if converting kilograms to grams, the answer should be in the range of hundreds or thousands.
3. Verify your answer by performing the conversion in reverse, from the smaller unit back to the larger unit, to see if you obtain the original value.

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Please help me fast and please hurry this is very very important

Please help me fast and please hurry this is very very important

Answers

B I just take a test

A study is done on the number of bacteria cells in a petri dish. Suppose that the population size PC) after thours is given by the following exponential functionP (t) = 2000(1.09)By what percent does the population size change each hour?

Answers

Give the following equation:

\(\text{ P(t) = 2000(1.09)}^t\)

1.09 represents the growth rate. It means that the population increases by 9% each hour, (1 + r).

The answer is 9%.

Trevor paid a total of $1.08 in fines for an overdue library book. If the penalty for overdue books is $0.09 per day, how many days late was the book?
2 days
8 days
12 days
20 days

Answers

Answer:

12

Step-by-step explanation:

You have to divide the total by the number per day to solve this problem.

1.08/0.09=12

Figure I and Figure II are similar figures.

Answers

I don’t have a picture or a more descriptive bit. So I’m not much help here.

if you have a set of data pairs that show the amount of rain for each month of the year, what type of graph would you use?

Answers

Solution

Question: Which type of graph would you use to compare the amount of rainfall each month for one year.

Answer: Line Graph

i.e Bar graph , Histogram, etc

In statistical experiments, each time the experiment is repeateda. the same outcome must occurb. the same outcome can not occur againc. a different outcome may occurd. None of the other answers is correct.

Answers

In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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Mr. Wilson divided his money between Dennis and Margaret in the ratio 4:2.
Margaret got the smaller amount of $1256. How much did Dennis receive?

Answers

Answer:

$2512.00

Step-by-step explanation:

if Margaret is = to 2 then Dennis = 4

if Margaret got the smaller amount of $1256 and 2 is multiplied to by 2 to get 4. then all you have to do is multiply Margret's amount by two and then you will get Dennis's amount.

hope this helps

love E

24 please and all of the parts if you can!​

24 please and all of the parts if you can!

Answers

Answer:

it's a

Step-by-step explanation:

because I saw a first

Which expression shows the result of applying the distributive property to 1/5(−3x+4)?

Answers

Therefore, -3/5x + 4/5 is the expression that represents the outcome of applying the distributive principle to 1/5(3x+4).

what is expression ?

An expression in mathematics is a grouping of digits, variables, and mathematical signs (like +, -, +, +, and =) that denote a mathematical relationship or computation. Expressions can be made up of a single number or variable or they can be intricate arrangements of different words and mathematical processes.

given

According to the distributive principle, a(b + c) = ab + ac. We can distribute the 1/5 to both terms inside the parentheses in order to apply the distributive principle to the expression 1/5(3x+4):

1/5(-3x + 4) = 1/5(-3x) + 1/5(4) (4)

If we simplify, we get:

1/5(-3x) + 1/5(4) = -3/5x + 4/5

Therefore, -3/5x + 4/5 is the expression that represents the outcome of applying the distributive principle to 1/5(3x+4).

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Simplify.
(A^2)^3+(A^-2)^-2
A. A^2
B. A^10
C. A^24
D. A^6+ A^4

Answers

A a^2 you wlc I think it’s right

Does the boxplot represent the information given in the histogram?
A) Yes
B) No, the boxplot should be skewed right
C) No, the median should be in the middle of the box
D) No, the left whisker should extend to zero
E) No, the right whisker should extend to 55

Answers

To determine whether the boxplot represents the information given in the histogram, we need to examine the characteristics of both the boxplot and the histogram.

The boxplot provides a visual representation of the distribution of a dataset, showing the minimum, first quartile, median, third quartile, and maximum values. It also displays any outliers that may be present. On the other hand, a histogram provides a graphical representation of the frequency or count of data values within specified intervals or bins.

Without specific information or visuals of the boxplot and histogram in question, it is not possible to directly compare them and determine their compatibility. Therefore, it is not possible to answer the question based on the information provided.

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Given the question above, say you are given a demand function: q = 130p-1- 0.2p+5 (c) (i) find the price, p*, at which total revenue is at its maximum. (3) (ii) show that demand is elastic when p>p* and inelastic when p

Answers

i. The price p* at which total revenue is at its maximum is 12.5.

ii. When p > p*, dq/dp = -1.032.

Since the absolute value of dq/dp (-1.032) is greater than 1, we can conclude that the demand is elastic when p > p*.

To find the price, p*, at which total revenue is at its maximum, we need to maximize the revenue function R(p) = p * q(p), where q(p) is the demand function.

(i) To find p*, we maximize the revenue function by taking its derivative with respect to p and setting it equal to zero:

R'(p) = (dq/dp) * p + q(p) = 0.

To find dq/dp, we differentiate the demand function:

dq/dp = 130 * (-1)p^(-2) - 0.2.

Substituting this into the equation for R'(p):

(130 * (-1)p^(-2) - 0.2) * p + q(p) = 0.

Simplifying:

-130p^(-1) - 0.2p + q(p) = 0.

Now, we substitute the demand function q(p) = 130p^(-1) - 0.2p + 5:

-130p^(-1) - 0.2p + 130p^(-1) - 0.2p + 5 = 0.

Simplifying further:

-0.4p + 5 = 0.

Solving for p:

0.4p = 5.

p = 5 / 0.4.

p = 12.5.

(ii) To determine the elasticity of demand, we take the derivative of the demand function with respect to p:

dq/dp = 130 * (-1)p^(-2) - 0.2.

When p > p*, substituting p = 12.5 into dq/dp:

dq/dp = 130 * (-1)(12.5)^(-2) - 0.2.

First, let's calculate (12.5)^(-2):

(12.5)^(-2) = 1 / (12.5)^2 = 1 / 156.25 = 0.0064

Substituting this value back into dq/dp:

dq/dp = 130 * (-1) * 0.0064 - 0.2

      = -0.832 - 0.2

      = -1.032

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which of the following will increase the power of a statistical test? a. none of the other options will increase power b. change the variability of the scores from 20 to 100 c. change the sample size from n

Answers

Change the sample size from n  will increase the power of a statistical test. The correct answer is C.

Increasing the sample size is one of the most effective ways to increase the power of a statistical test. With a larger sample size, there is a greater chance of detecting a true effect or rejecting a false null hypothesis.

This is because a larger sample provides more information and reduces sampling variability, leading to more precise estimates and increased statistical power.

The other options listed, such as changing the variability of the scores or changing the significance level, may have an impact on the statistical test but may not directly increase the power. Changing the variability of the scores may affect the precision of the estimates, but it may or may not increase the power of the test.

Similarly, changing the significance level affects the trade-off between Type I and Type II errors, but it does not directly increase the power. The correct answer is C.

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The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is?

Answers

The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling

The judgement sampling is a non probability that the researcher selects units to be sampled based on his own  knowledge and professional judgement. Here the probability is not a factor.

The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.

Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement

Therefore, the sampling method is judgement sampling

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You randomly select and weigh 12 samples of an allergy medicine. Assume the weights are normally distributed. to.99=__

Answers

In the context provided, it seems that you are referring to the z-value associated with a cumulative probability of 0.99 in a standard normal distribution.

To find the z-value corresponding to a cumulative probability of 0.99, you can use statistical tables or software. For a standard normal distribution, the z-value that corresponds to a cumulative probability of 0.99 is approximately 2.33.

This means that approximately 99% of the area under the standard normal curve lies to the left of the z-value of 2.33.

Therefore, to.99 is approximately 2.33.

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Ava scored 18 points in a basketball game. She scored seven points more than Claire. Let c
be the number of points scored by Claire. Set up an equation that lets you solve for the value
of c.

Answers

Answer:

11 points

Step-by-step explanation:

Claire had 11 points  because 18-7=11

C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Ava scored 18 points in a basketball game.

Let Ave score be represented as A.

Ave scored seven points more than Claire.

Let C be the Claire score.

A=7+C

As given Ava scored 18 points in a basketball

so the value of A is 18

18=7+C

Now let us find the value of C

Subtract 7 from both sides

18-7 =C

11=C

Hence, C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.

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Find the given inverse laplace transform by finding the laplace transform of the indicated function f. (write your answer as a function of t. ) ℒ−1 1 s2(s2 a2) ; f(t) = at − sin(at)

Answers

The inverse Laplace transform of the given Laplace transform will be given below.

\(\rm L^{-1} \left [ \dfrac{1}{s^2 (s^2 + a^2 )} \right ] = \dfrac{1}{a^3} \left [ at - \sin at \right ]\)

What is the inverse Laplace transform?

The transformation of Laplace. The change of a Laplace transform into a variable of the period is called the inverse Laplace transform.

Let the Laplace equation will be

\(\rm F(s) = \dfrac{1}{s^2 + a^2} \ and \ G(s) = \dfrac{1}{s^2}\)

So the given function will be

= F(s)G(s)

We know that

\(\rm L^{-1} [F(s)] = L^{-1}\left [ \dfrac{1}{s^2 + a^2 } \right ] = \dfrac{\sin at }{a} = f(t)\)

And

\(\rm L^{-1} [G(s)] = L^{-1}\left [ \dfrac{1}{s^2 } \right ] = t = g(t)\)

According to the Convolution Theorem, performing their overlap and then Laplace is equivalent to getting the Laplace first and then combining the two Laplace Transforms.

Now using the convolution theorem, then we get

\(\begin{aligned} L^{-1}\left [ \dfrac{1}{s^2(s^2 +a^2)} \right ] &= L^{-1}\left [ F(s)G(s) \right ]\\\\&= \int_{0}^{t} f(z)g(t-z) dz\\\\&= \int_{0}^{t} \frac{\sin az}{a}(t-z)dz\\\\&= \frac{1}{a} \int_{0}^{t} \sin az (t-z)dz \end\)

On integration, we get

\(= \dfrac{1}{a}\left [ \left ( -\dfrac{\cos az}{a} (t-z) \right )_{0}^{t} - \int_{0}^{t}-\dfrac{\cos az}{a}(-1)dz \right ]\\\\\\= \dfrac{1}{a} \left [ \dfrac{-1}{a} \cos at (t-t) + \dfrac{1}{a} \cos 0 (t -0)\right ] - \frac{-1}{a}\left ( \dfrac{\sin az}{a} \right )_0^t \\\\\\= \dfrac{1}{a}\left [ 0 + \dfrac{1}{a}t- \dfrac{1}{a^2} \left ( \sin at - 0 \right ) \right ] \\\\\\= \dfrac{1}{a} \left [ \dfrac{at - \sin at}{a^2} \right ] \\\\\\=\dfrac{1}{a^3} \left [ at - \sin at \right ]\)

Then the inverse of the Laplace transform will be

\(\rm L^{-1} \left [ \dfrac{1}{s^2 (s^2 + a^2 )} \right ] = \dfrac{1}{a^3} \left [ at - \sin at \right ]\)

More about the inverse Laplace transform link is given below.

https://brainly.com/question/1675085

#SPJ4

5. The braces of the bridge support lie along the diagonals of rectangle PQRS. RS = 160 ft, and QS = 380 ft.

Find ST.

HELPPPPPP PLEASEEEEE!!!!!

Answers

Answer:

Step-by-step explanation:

Since ST is half of QS, all you need to do is divide it by one half.

ST = 1/2(QS)

ST = 1/2(380)

ST = 190 ft.

I hope this helps.

(3x + 3) + (17x + 6)

Answers

the answer for (3x+3)+(17x+6) is 20x+9

GIVIING BRAINLIEST TO FIRST PERSON WHO ANSWERS!!! UPPING POINTS TO 25!!!!!

GIVIING BRAINLIEST TO FIRST PERSON WHO ANSWERS!!! UPPING POINTS TO 25!!!!!

Answers

Answer:

\(x\) ≈ \(349\)

Step-by-step explanation:

SInce we don't know the side length, we will replace it with \(X\) for now.

To make this problem easier, since the angle of elevation = the angle of depression, we can start from the base, and use Tangent.

\(Tangent=(\frac{Opposite}{Adjecent})\\\)

Opposite of \(19\)° = \(120\\\)Adjacent of \(19\\\)° = \(X\\\)

\(tan19\)° \(= \frac{120}{x}\)

then, divide \(120\) by \(tan19\)°

\(120 - tan19\)°  \(= x\)

\(x\) ≈ \(349\)

Okayyyy...... so it's really late right now, but I just found out there was an answer key online. They show all their work, which is pretty nice, so I uploaded/ attached that to this answer, and yes, I promise it's not a scam. Anyways, I gotta head out soon. Good luck on the rest of your homework though! :)

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