The question is in the picture, please someone help me with this.

Answer:

27π/8 inches²

Step-by-step explanation:

= πr² × [3π/(4 × 2π)]

= π(3)² × 3π/8π

= 27π/8 inches²

For f (t) = teat for t ≥ 0, the Laplace transform of f (t) is 1 / (s+a)^2.

The Laplace transform of f(t) is defined as:

Lf(t) = ∫[0,∞) f(t) e^(-st) dt

Substituting f(t) into the above equation, we get:

Lf(t) = ∫[0,∞) t e^(-at) e^(-st) dt

We can simplify this by factoring out e^(-at) from the integral, giving:

Lf(t) = ∫[0,∞) t e^(-(a+s)t) dt

We can now integrate by parts, using u = t and dv = e^(-(a+s)t) dt:

Lf(t) = [-t e^(-(a+s)t) / (a+s)] [0,∞) + ∫[0,∞) e^(-(a+s)t) dt/(a+s)

The first term evaluates to 0, since t e^(-(a+s)t) approaches 0 as t approaches infinity. The second term simplifies to:

Lf(t) = [1 / (a+s)] ∫[0,∞) e^(-(a+s)t) dt

This integral is a standard Laplace transform, so we can substitute in its value from the Laplace transform table:

Lf(t) = [1 / (a+s)] * [1 / (a+s)]

Lf(t) = 1 / (s+a)^2

Therefore, the Laplace transform of f(t) is 1 / (s+a)^2.

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Answer:

3is the scale factor and it is similar

Step-by-step explanation:

Answer:

X'(1, 5 )

Step-by-step explanation:

y = 1 is a horizontal line parallel to the x- axis and passing through points with a y- coordinate of 1

X(1, - 3 ) is 4 units below this line ( 1 - (- 3) = 4 ), thus its reflection will be 4 units above the line.

The x- coordinate remains unchanged.

y - coordinate of X' = 1 + 4 = 5

X' = (1, 5 )

The amount of money, to the nearest cent, in the account after 10 years is found as $742.87.

The formula for the continuous compound  is:

V = Pe^{rt}

In which:

V= 358*2.72*{0.073*10}

V = 358*2.07

V = 742.87

Thus, the amount of money, to the nearest cent, in the account after 10 years is found as $742.87.

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Answer: 88

Step-by-step explanation: since its a circle u times the diameter of the cloth by 3.14 which is 87.92 so you round it to 88

Answer:

  GCF = 6; sum = 6(1 +3)

Step-by-step explanation:

You want the greatest common factor of 6 and 18.

The greatest common factor is the largest factor common to both numbers. Here, we can factor the numbers as ...

  6 = 6·1

  18 = 6·3

The factor 6 is common to both numbers. (Other numbers, such as 1, 2, and 3 are also common factors, but 6 is the largest.)

The GCF is 6.

In terms of the GCF, the sum can be written ...

  6 +18 = 6(1 +3)

__

Additional comment

If the smaller number is not a factor of the larger, then the next value to check is the difference between the larger and smaller.

Euclid's algorithm tells you the remainder from division of the larger by the smaller will be zero when the divisor is the GCF. Otherwise, the remainder can be used to replace the larger number for trying again.

Here, 18/6 = 3 r 0, so 6 is the GCF.

Answer:

-1015

Step-by-step explanation:

hope this helps!!

Answer:1115

Step-by-step explanation:

8 is greater than 3 so you must regroup:

Take 1 from 1, so 1 becomes 0.

Add 10 to 3, so 3 becomes 13.

13 minus 8 is 5
9 is greater than 0 so you must regroup:

Take 1 from 3, so 3 becomes 2.

Add 10 to 0, so 0 becomes 10.
10 minus 9 is 1
2 minus 1 is 1
2 minus 1 is 1
Andd the answer: 1115

If it is the other way it is -1115.

Step-by-step explanation:

5x = 85

Answer: True.

Step-by-step explanation:

The statement is:

"A linear equation has ONE solution when the variable equals zero."

First, a generic linear equation can be written as:

y = a*x + b

Where a and b are known values.

If the variable equals zero, we have:

y = a*0 + b = b

y = b.

Then it has only one solution if x = 0.

So the statement is true, but it is also true for any value in the variable.

So if we rewrite it as (for example):

"A linear equation has one solution when the variable equals 4"

y = a*4 + b.

Because a and b are known, this equation also does have only one solution.

Answer:true

Step-by-step explanation:

Answer:

t = 350x + 45,750

Step-by-step explanation:

The linear equation that would represent this scenario perfectly would be the following

t = 350x + 45,750

In this equation, the variable x represents the total number of catering jobs that Melissa and her company are completing. This variable gets multiplied by the cost that she charges for each individual job. Finally, the total amount of money that she has already made so far this year is added to that product to give us the total income that she would make for the year after completing the jobs.

Answer:

x = 12

Step-by-step explanation:

\((4x - 5) \degree +(3x + 11) \degree = 90\degree \\(complementary \: \angle s) \\ \\ (4x - 5 + 3x + 11)\degree = 90\degree \\ \\ (7x + 6)\degree = 90\degree \\ \\ 7x + 6 = 90 \\ \\ 7x = 90 - 6 \\ 7x = 84 \\ \\ x = \frac{84}{7} \\ \\ x = 12\)

To write and equation we call y=oil and x=vinager, so:

To find the constant k we can use the point in the picture (vinager, oil) = (x, y) = (1, 1.5), so:

So, the equation is:

Now, the meaning of the point (1, 1.5) is for 1 amount of vinager you need 1.5 amount of oil.

The number with a subscript of 12 or number base 12 that is equal to 888₉ + 555₆ + 222₂ is 689.

Using the number base conversion system,  the sum of the given numbers in base ten is determined as follows:

888₉ + 555₆ + 222₂ = X₁₂

888₉ = 8 * 9² + 8 * 9¹ + 8 * 9⁰

888₉ = 728

555₆ = 5 * 6² + 5 * 6¹+ 5 * 6⁰

555₆ = 215

222₃ = 2 * 3² + 2 * 3¹ + 2 * 3⁰

222₃ = 26

888₉ + 555₆ + 222₂ = 728 + 215 + 26

888₉ + 555₆ + 222₂ = 969

969 = X₁₂

969 = 689₁₂

Hence, X = 689

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Answer:

It's 38.

Step-by-step explanation:

the sum of three consecutive even integers is 108, the largest number in the sequence would be 38.

I hope this helps you!

Answer:

We can use algebra to solve this problem. Let's call the smallest of the three consecutive even integers x. Since the integers are consecutive and even, the next two integers will be x+2 and x+4.

The problem states that the sum of three consecutive even integers is 108, so we can write an equation:

x + (x+2) + (x+4) = 108

We can simplify this equation by combining like terms:

3x + 6 = 108

3x = 102

x = 34

So, the smallest of the three consecutive even integers is 34.

The next two integers will be x+2 = 34+2 = 36 and x+4 = 34+4 = 38

The largest number of the three consecutive even integers is x+4 = 38.

Answer:

8 meters

Step-by-step explanation:

This is a question that deals with Proportion

Height of flagpole/Shadow of flagpole = Height of Luke/Shadow of Luke

Length of the shadow of Luke = x

= 12/24 = 4/x

We cross Multiply

12 × x = 24 × 4

x = 24 × 4/12

x = 8 meters

Hence, the length of the shadow of Luke = 8 meters

Answer:

3

Step-by-step explanation:

First right out all the data in numerical order from left to right.

2, 2, 2, 3, 4, 5, 7

The median is the middle number in the set.  If there is an even amount of data points, find the average of the two middle numbers.  If there is an odd number of data points, like in this data set, just take the middle number as you median.

There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.

When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3.  Therefore, 3 is the median of this data set.

Answer:

1440 mL

Step-by-step explanation:

2 hours = 120 minutes

120/5 = 24

24 * 60 = 1440

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The value gotten when -1/2 is added to 2/3 is 1/6.

Addition is the process that is used in mathematics to determine the sum of two or more numbers. The sign that represents addition is +.

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above the line and the denominator is the number below the line. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.

\(-\frac{1}{2} + \frac{2}{3}\)

\(\frac{-3 + 4}{6}\) = \(\frac{1}{6}\)

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In order to find the values of x and y, let's compare both values of x given:

So we have that x = -14 and y = -5.

Answer:If 1200 square inch of material is available to make a box with a square base and no top

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

3 cubed is \(3^3\\\) which is the same as 3x3x3

Reason:- 3³ = 3×3×3 which gives 27

So your answer is Yes

Answer:v = 9

Step-by-step explanation:

Simplifying

2(3v + 8) = 70

Reorder the terms:

2(8 + 3v) = 70

(8 * 2 + 3v * 2) = 70

(16 + 6v) = 70

Solving

16 + 6v = 70

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-16' to each side of the equation.

16 + -16 + 6v = 70 + -16

Combine like terms: 16 + -16 = 0

0 + 6v = 70 + -16

6v = 70 + -16

Combine like terms: 70 + -16 = 54

6v = 54

Divide each side by '6'.

v = 9

Answer: the answer is 9

Step-by-step explanation:

1. open the bracket by multiplying: 2(3v+8)=70

6v+16=70

2. take the 16 over the equals sign.  note:(the plus sign in front of the 16 changes to a minus sign.)

6v=70-16

6v=54

3. divide both sides by 6

6v/6=54/6

final answer: v=9

Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.

The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.

Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.

Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.

Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.

By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.

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The probability of obtaining between 70 and 82 tails is 0.2137, that is, option A.

Here, we are given that a fair coin is tossed 130 times.

Thus,

number of trials ⇒ n = 130

p = P(getting tails in a single toss) = 0.5

mean of a binomial distribution = np

= 130*0.5

= 65

variance = np(1-p)

= 65*0.5

= 32.5

standard deviation = sqrt(variance)

= sqrt(32.5)

= 5.7

Now, x = number of tails

X follows a normal distribution with mean 65 and variance 5.7

P(70 < x < 82)

= P( 69.5 < X < 82.5)  [applying continuity correction]

= P[(69.5-65)/5.7 < Z < (82.5-65)/5.7)]

= P(0.79 < Z < 3.07)

= P(Z < 3.07) - P(Z < 0.79)

= 0.9989- 0.7852

= 0.2137

Thus, the probability of obtaining between 70 and 82 tails is 0.2137, hence, option A. .

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Answer:

Step-by-step explanation:

1/10

Answer:

1/4

Step-by-step explanation:

well if you think about it. how many times does 5 go into 20 a.k.a 4 times so your answer is 1/4

The answe is      8 + (-14) = -6

...

Step-by-step explanation:

the perpendicular line can be represented by bx-ay+k=0 ,So the second step Is Written

since the line passes through point (-4,1) ,the value of x and y is Substitute as written in answer

Answer:

y=-2x-7

Step-by-step explanation:

3x-6y=18 also equals 3x-18=6y

divide both sides by 3 to get x-6=2y or y=x/2-3 as same line then, to find inverse switch x and y, x=(y/2)=3 and solve for y, y-6=2x, -y=2x+6 is the inverse then to make it pass thru (-4,1) change b value, y=-2x-7

The digit 9 is in the 7th place from the right, so it has a place value of 9 × 10⁸.Therefore, the value that the teal color represents in the number 3,490347,4903, 4, 7, 490 is 4, since it is in the ones place.

The value that the teal color represents in the number 3,490347,4903, 4, 7, 490 is 4. The teal color represents the digit 4.

When we represent numbers in decimal form, each digit in the number has a place value that depends on its position in the number.

The rightmost digit in a number represents the ones place, the next digit to the left represents the tens place, the next digit to the left represents the hundreds place, and so on. In other words, each place value is 10 times the place value of the digit to its right.

The number 3,490,347,4903, 4, 7, 490 is a large number represented in decimal form. The digit 4 is in the 12th place from the right, so it has a place value of 4 × 10¹¹.

The digit 7 is in the 10th place from the right, so it has a place value of 7 × 10¹⁰. The digit 4 is in the 9th place from the right, so it has a place value of 4 × 10⁹. The digit 3 is in the 6th place from the right, so it has a place value of 3 × 10⁵. The digit 9 is in the 4th place from the right, so it has a place value of 9 × 10³.

The digit 0 is in the 3rd place from the right, so it has a place value of 0 × 10². The digit 3 is in the 2nd place from the right, so it has a place value of 3 × 10¹.

The digit 4 is in the 1st place from the right, so it has a place value of 4 × 10⁰. The digit 0 is in the 5th place from the right, so it has a place value of 0 × 10⁴. The digit 4 is in the 8th place from the right, so it has a place value of 4 × 10⁷. The digit 3 is in the 11th place from the right, so it has a place value of 3 × 10¹⁰.

The digit 9 is in the 7th place from the right, so it has a place value of 9 × 10⁸.Therefore, the value that the teal color represents in the number 3,490347,4903, 4, 7, 490 is 4, since it is in the ones place.

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