please show steps
Solve by Laplace transforms: y''- 2y' + y = et cos 2t, y(0) = 0, and y-(0)=1

Answer:

1

Step-by-step explanation:

y2 - y1 divided by x2 - x1

-9 + 5 = -4

3 - 7 = -4

-4/-4 = 1

The maximum possible area is 36 square units.

Answer:

36sq Units at max? i think

Step-by-step explanation:

Have a good day!

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Answer:

x = - 3 , x = 2

Step-by-step explanation:

the solutions are the points on the x- axis ( y = 0 ) where the graph crosses.

solutions are then x = - 3 , x = 2

Answer: 1:15

Step-by-step explanation:

we know that the total number of eggs is the same as the number of eggs in 30 boxes. Hence the ratio will be 2 : 30, and then divide both sides by 2 to get 1 : 15 as the ratio in its simplest terms.

The ratio of the number of eggs in three boxes to the total number of eggs is 1 : 10.

We have,

To find the ratio of the number of eggs in three boxes to the total number of eggs, first, let's calculate the number of eggs in three boxes:

Number of eggs in three boxes

= 3 boxes * 6 eggs per box

= 18 eggs

Now, the ratio of the number of eggs in three boxes to the total number of eggs is:

18 eggs : 30 boxes x 6 eggs per box

18 eggs : 180 eggs

Cancel out the common factors.

1 egg : 10 eggs

So, the simplified ratio is:

1 egg : 10 boxes

Therefore,

The ratio of the number of eggs in three boxes to the total number of eggs is 1 : 10.

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Answer:

0.6376785714275 is the average degrees celcius in the city.

Step-by-step explanation:

In order to find the average, I must add the numbers and divide them by 4.

2.34 + -2/7 + -0.45 + 3/8 = 2.55071428571

2.55071428571/4 = 0.6376785714275

I AM 100% SURE

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Evaluating and reducing the fraction expression -2 2/6 + (5/6) gives a value of -3/2

From the question, we have the following parameters that can be used in our computation:

-2 2/6 + (5/6)

Rewrite as

-14/6 + 5/6

Take LCM and evaluate

So, we have

(-14 + 5)/6

Evaluate the products

This gives

(-14 + 5)/6

Evaluate the sum of the expression

So, we have the following representation

-9/6

Simplify

-3/2

Hence, the solution is -3/2

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Answer:

the constant ratio is 10 , it stayed the same. this would be a straight line, which makes it proportional.

Answer:

x=27

∠JLK=2x+1=2(27)+1=55

Step-by-step explanation:

∠A+∠K=180

3x+13+∠K=180

∠K=167-3x

∠K+∠L+∠J=180

167-3x+39+2x+1=180

207-x=180

x=27

∠JLK=2x+1=2(27)+1=55

Don't worry, you aren't gonna fail. Take a deep breath and relax. Geometry is tricky but you got this. Have a nice night.

Answer:

Step-by-step explanation:

∠AKL is exterior angle and as per property it is equal to sum of two non-adjacent angles:

Solving for x

And finding the value of ∠JLK:

The ball traveled approximately \(26.27\) units in total.

To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.

Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

Let's calculate the distance between Player A and Player B first:

Distance_AB =

\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)

\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)

Now, let's calculate the distance between Player B and Player C:

Distance_BC =

\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)

Finally, we can calculate the total distance traveled by adding the distances AB and BC:

Total distance = Distance_AB + Distance_BC

\(= 14.87 + 11.40 \\= 26.27\)

Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.

Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.

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A hsitogram is a plot that shows the frequency distribution of a set of continuous data

A stem plot is a technique use to classify either duscrete or continuous variable

The best reason for choosing a stemplot rather than a histogram to display the distribution of a quantitative variable is b) Stemplots allow you to see the values of individual observations

Answer:

C

Step-by-step explanation:

In any circle the following ratios are always equal.

\(\frac{arc}{circumference}\) = \(\frac{centralangle}{360}\) , thus

\(\frac{48}{circum}\) = \(\frac{60}{360}\) = \(\frac{1}{6}\) ( cross- multiply )

circumference = 6 × 48 = 288 cm → C

Answer:

a bunch

Step-by-step explanation:

Answer:

it is probably 9 or 12 I apologize apologise in advance if I'm wrong

Step-by-step explanation:

X=1 y=1

Answer:

y=2x-1 ---(1)

3x+8y=11 ---(2)

sub (1) into (2)

3x+8(2x-1)=11

3x+16x-8=11

19x=19

X= 1

sub X= 1 into (1)

y= 2(1)-1

y=1

Answer:

Below

Step-by-step explanation:

From mile 3 to mile 18 is 15 miles

   He needed   2 hrs - .75 hr  = 1.25 hr to run 15 miles

15 miles / 1.25 hr =  12 miles per hour    ( VERY fast !)

Answer:

152

Step-by-step explanation:

The given scenario of monthly data on the number of flu cases seen in a hospital emergency department that shows consistent increases during certain months and decreases during others is an example of seasonality.

Seasonality refers to the predictable pattern of fluctuations in a time series data that occurs at regular intervals over a period of time. In this case, the seasonal pattern is related to the occurrence of the flu virus, which typically peaks during the winter months and decreases in the summer months.

Exponential smoothing is a statistical method used to forecast time series data, which involves assigning weights to past observations that decline exponentially over time. Holt's method is an extension of exponential smoothing that includes a trend component in addition to the level and seasonality components.

However, neither exponential smoothing nor Holt's method directly address seasonality in time series data. Therefore, the correct answer to the given question is "seasonality".

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Answer:

8 feet

12 inches equals 1 foot, so 8 inches is a lot smaller than 8 feet.

Answer:

8 feet is equal to 96 inches.

Step-by-step explanation:

There are 12 inches in one foot

Answer:

d

Step-by-step explanation:

Answer:

Part A: If (26)x = 1, the value of x is approximately 0.03846.

Part B: If (50)x = 1, the possible value of x is approximately 0.02.

Step-by-step explanation:

Part A: To find the value of x in the equation (26)x = 1, we need to find the value that, when raised to the power of 26, will equal 1. This value can be found by taking the reciprocal (or multiplicative inverse) of 26 and taking the natural logarithm of both sides.

Using the formula x = 1/26, we get:

x = 1/26 = 0.03846

So, the value of x in the equation (26)x = 1 is approximately 0.03846.

Part B: To find the possible values of x in the equation (50)x = 1, we need to find the values that, when raised to the power of 50, will equal 1. This value can be found by taking the reciprocal (or multiplicative inverse) of 50 and taking the natural logarithm of both sides.

Using the formula x = 1/50, we get:

x = 1/50 = 0.02

So, the possible value of x in the equation (50)x = 1 is approximately 0.02.

The correct answer is d. emergent.

An emergent leader is an individual who grows into the leadership role naturally, often due to circumstances or necessity. They are not appointed or assigned to the position of leadership but rather emerge from the group or organization based on their skills, qualities, or actions.

Emergent leaders may possess certain qualities or demonstrate their competence and ability to guide and influence others. They gain recognition and respect from their peers, leading to their emergence as leaders within the group or organization.

This type of leadership often occurs in situations where formal leadership structures may be absent or ineffective, and individuals step up to take charge based on their capabilities and the needs of the group.

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Answer:

3^3 = 27

27 * 3.14 = 84.78

84.78 * 4/3 = 113.04 is your answer.

Formula of volume of sphere is:

4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)

You get your radius by finding out what is half of your diameter or your given radius.

Answer:

f(x) is flipped, and each point is moved 3 units to the left and 2 units up

Step-by-step explanation:

Answer:

Step-by-step explanation:

??

Answer:

Step-by-step explanation:

The answer is 20% to 50%

Answer:

0/2

Step-by-step explanation:

As there are 2 rabbits there will not be any puppies.

Answer:

0/2 since there obviously not dogs

The depth of the water is changing at a rate of 55/14 ft/min when the water is 11 ft high.

To find how fast the depth of the water in the conical tank changes, we can use related rates.

The volume of a cone is given by V = (1/3)πr²h,

where r is the radius and

h is the height.

We are given that the cone leaks water at a rate of 11 ft³/min.

This means that dV/dt = -11 ft³/min,

since the volume is decreasing.

To find how fast the depth of the water changes (dh/dt) when the water is 11 ft high, we need to find dh/dt.

Using similar triangles, we can relate the height and radius of the cone. Since the height of the cone is 14 ft and the radius is 5 ft, we have

r/h = 5/14.

Differentiating both sides with respect to time,

we get dr/dt * (1/h) + r * (dh/dt)/(h²) = 0.

Solving for dh/dt,

we find dh/dt = -(r/h) * (dr/dt)

= -(5/14) * (dr/dt).

Plugging in the given values,

we have dh/dt = -(5/14) * (dr/dt)

= -(5/14) * (-11)

= 55/14 ft/min.

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