13. Write a rule for each counterclockwise rotation about the origin:
180': (x,y) →
270*: (x,y) →
90*: (x,y) →

The Laplace transform of f(t) is f(s) = (1/(s-2)) - 8 e^(-4s).

We can split the function into two parts:

f(t) = e^(2t) - 8h(t-4)

Taking the Laplace transform of each part separately, we get:

L{e^(2t)} = ∫_0^∞ e^(-st) e^(2t) dt = ∫_0^∞ e^(t(2-s)) dt = 1/(s-2) (by using the Laplace transform formula for e^(at))

L{8h(t-4)} = 8 e^(-4s) (by using the formula for the Laplace transform of the unit step function h(t-a))

Thus, the Laplace transform of f(t) is:

f(s) = L{f(t)} = L{e^(2t)} - L{8h(t-4)} = 1/(s-2) - 8 e^(-4s)

Therefore, the Laplace transform of f(t) is f(s) = (1/(s-2)) - 8 e^(-4s).

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Answer:

94 meters

Step-by-step explanation:

The equation of this problem will be set up as such: \(188=2\pi r\).

Answer:it’s b :)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

5.1

Step-by-step explanation:

cos 65° = \(\frac{x}{12}\)  

x = 12 cos 65°

cos 65° ≈ 0.422618261741

x ≈ 5.07 ≈ 5.1

The Federal government levies the most income tax to generate more revenue than state and local for its programs. Thus, option A is correct.

The Federal government mainly depends upon income tax for the operations and funds for government schemes. Income tax is the major source of revenue for this federal government. They impose a tax on both individual and corporate income when compared to state and local.

The Federal government collects payroll taxations on self-employment laborers and also government employees. These tax rates will be increased in steps and sometimes imposes at a time based on the percentage of income for individuals.

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I don't see the picture. Can you send it in the message.

Answer:

Mark me As Brainlist

Step-by-step explanation:

The mass of the salt grain is 0.0006 grams, which can be written in scientific notation as 6 x 10^-4 grams.

To compare the masses of the salt and sand grains, we need to express the mass of the sand grain in scientific notation as well.

The mass of the sand grain is 0.009 grams, which can be written in scientific notation as 9 x 10^-3 grams.

Comparing the two masses in scientific notation, we can see that:

6 x 10^-4 < 9 x 10^-3

Therefore, the sand grain is heavier than the salt grain

Answer:

Step 1. Move the decimal place to the right to create a new number between 1 and 10.This gives N=3.Step 2. Count the number of times you moved the decimal.You moved the decimal 8 places to the right.That means the exponent a=-8.Step 3. Write the number in scientific notation.0.000 000 03 g=3×10-8lg

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

12=4+4+4

twelve is able to be broken down into 3 groups of 4

Answer: y=5/4x+13

Step-by-step explanation:

Slope-intercept form:

y= mx+b

Where x and y are the points, m is the slope, and b is the y-intercept.

Plug in the points to find the y-intercept.

-5= 5/4(-8)+b

Solve.

-5= 2.25(-8)+b

Combine like terms.

-5=-18+b

Add 18 on both sides.

13= b

Now you have the y-intercept. Plug in every point except the x and y, because you wouldn't be able to graph it if you had just numbers. (not that you have to; that is just the correct form)

y=5/4x+13

This question requires us to find the future sum of an amount compounded annually at 6.6%.

The formula for the compounded sum is:

Where:

F = Future sum after compounding

P = Principal / Present sum

i = interest rate

n = time (in years)

Therefore, we have:

$1,183.66 is the amount in the account in 11 years

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

heloooooooooooooooooooooio

Step-by-step explanation:

oooooooooo oooooooooo oooooooooo

You should deposit approximately $340.84 monthly to reach $293,000 in 28 years at a 4.4% annual interest rate compounded monthly.

To calculate the monthly deposit required for an investment plan paying 4.4% interest compounded monthly to reach $293,000 in 28 years, we use the future value of an annuity formula:

FV = P * (((1 + r)^n - 1) / r)

Here, FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of payments. First, convert the annual interest rate (4.4%) to a monthly rate by dividing by 12, which gives 0.0367 (4.4%/12) or 0.00367 as a decimal. The number of payments (n) is 28 years * 12 months/year = 336.

We want to find P, so rearrange the formula:

P = FV / (((1 + r)^n - 1) / r)

Substitute the values:

P = $293,000 / (((1 + 0.00367)^336 - 1) / 0.00367)

P ≈ $340.84

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Answer:

An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor

Step-by-step explanation:

Hope it helps

Answer:

$72

Step-by-step explanation:

Let t = Tires

Let O = Oil change

Given the following data;

Oil change, O = $47

Translating the word problem into an algebraic equation, we have;

4t + O = $335

Rearranging the equation, we have;

\( 4t = 335 - O\)

Substituting the value of O;

\( 4t = 335 - 47\)

\( 4t = 288\)

\( t = \frac {288}{4}\)

t = 72

Therefore, the cost of each tire is $72.

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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Answer:

C. 77.3% decrease

Step-by-step explanation:

To calculate the percent change, we can use the formula:

percent change = (new value - old value) / old value * 100

Plugging in the values, we get:

percent change = (20 - 88) / 88 * 100 = -68 / 88 * 100 = -0.772727 * 100 = -77.3

Since the new value is lower than the old value, this is a decrease, and the answer is -77.3, or 77.3% decrease.

Answer: a. h(4)=8

b. h(1.5)=-0.75

c. h(x-3)=(x-3)(x-5)

Step-by-step explanation:

a. h(4)=4^2-2(4)

h(4)=16-8

h(4)=8

b. h(1.5)=1.5^2-2(1.5)

h(1.5)=2.25-3

h(1.5)=-0.75

c. h(x-3)=(x-3)^2-2(x-3)

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

h(x-3)=x*x-3x-3x+(-3*(-3))-2x+6

h(x-3)=x^2-6x+9-2x+6

h(x-3)=x^2-6x-2x+9+6

h(x-3)=x^2-8x+15

h(x-3)=x^2-5x-3x+15

h(x-3)=x(x-5)-3(x-5)

h(x-3)=(x-3)(x-5)

Since an isosceles triangle has two equal sides, it has two equal angles and two equal heights. Therefore, if you know the length of two sides, you can use the formula A = (1/2)bh to calculate the area, where b is the length of the base and h is the length of the two equal heights.

An isosceles triangle is a triangle with two equal sides and two equal angles. Since the two equal sides also have two equal heights, we can use the formula A = (1/2)bh to calculate the area of the triangle without the height. The formula A = (1/2)bh requires the length of the base (b) and the length of the equal heights (h). Therefore, if you know the length of two sides, you can use the formula to calculate the area of the isosceles triangle without the height.

1. Determine the length of two sides of the triangle.

2. Calculate the area of the triangle using the formula A = (1/2)bh, where b is the length of the base and h is the length of the two equal heights.

3. Plug the known values into the formula and solve for the area.

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9514 1404 393

Answer:

  4(2x +5y)

Step-by-step explanation:

The variables x and y have no common factors. The coefficients 8 and 20 have a common factor of 4. So, the expression can be written ...

  4(2x +5y)

We would expect to find the middle 68% of the average amounts of nicotine in a sample of size 41 to be between approximately 0.901 g and 0.991 g by using properties of the normal distribution.

To find the range in which you would expect to find the middle 68% of amounts of nicotine in these cigarettes, we can use the properties of the normal distribution.

Given:
Mean (μ) = 0.946 g
Standard deviation (σ) = 0.289 g

For a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Therefore, we can expect the middle 68% of amounts of nicotine to fall within the range:

μ ± σ

Substituting the given values:

0.946 ± 0.289

To calculate the range, we have:

Lower bound = 0.946 - 0.289 ≈ 0.657 g
Upper bound = 0.946 + 0.289 ≈ 1.235 g

Therefore, we can expect to find the middle 68% of amounts of nicotine in these cigarettes to be between approximately 0.657 g and 1.235 g.

Now, if we were to draw samples of size 41 from this population, the standard deviation of the sample mean (also known as the standard error) can be calculated as:

Standard error (SE) = σ / √n

where σ is the population standard deviation and n is the sample size.

Substituting the given values:

SE = 0.289 / √41 ≈ 0.045 g

To find the range in which we would expect to find the middle 68% of the sample means, we multiply the standard error by 1 to capture approximately 68% of the data, giving us:

Lower bound = μ - SE ≈ 0.946 - 0.045 ≈ 0.901 g
Upper bound = μ + SE ≈ 0.946 + 0.045 ≈ 0.991 g

Therefore, we would expect to find the middle 68% of the average amounts of nicotine in a sample of size 41 to be between approximately 0.901 g and 0.991 g.

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Answer:

200 I think I'm not entirely sure

Answer:

200

Step-by-step explanation:

if one inch=40 miles, and we want to find 5 inches, we can solve 5*40, which equals 200

4. Conversion of binary to octal and hexadecimal.

1010101110₂

OCTAL: Group the binary digits into groups of three, starting from the right.

Add leadings 0's if necessary.

So, 1010101110 is 001 010 101 110.

Now, substitute each group with an octal digit.

001 010 101 110₂ = 2 5 5 6₈

HEXADECIMAL: Group the binary digits into groups of four, starting from the right.

Add leading 0's if necessary.

So, 1010101110 is 0101 0101 1100.

Now, substitute each group with a hexadecimal digit.

0101 0101 1100₂ = 5 5 C₁₆

b. 101010011100₂

OCTAL: Group the binary digits into groups of three, starting from the right.

Add leadings 0's if necessary.

So, 101010011100 is 001 010 100 111 000.

Now, substitute each group with an octal digit.

001 010 100 111 000₂ = 2 5 4 7 0₈

HEXADECIMAL: Group the binary digits into groups of four, starting from the right.

Add leadings 0's if necessary.

So, 101010011100 is 0101 0100 1110.

Now, substitute each group with a hexadecimal digit.

0101 0100 1110₂ = 5 4 E₁₆.

5. Conversion of octal to hexadecimala.

746128:

Group the octal digits into groups of three, starting from the right.

Add leadings 0's if necessary.

So, 746128 is 007 461 028.

Now, substitute each group with a hexadecimal digit.

007 461 028₈ = 0 3 1 4 0 2₁₆

b. 2746358:

Group the octal digits into groups of three, starting from the right.

Add leadings 0's if necessary.

So, 2746358 is 010 111 100 110 101 100.

Now, substitute each group with a hexadecimal digit.

010 111 100 110 101 100₈ = 2 7 C 6 5 4₁₆.

6. Conversion of hexadecimal to octal.

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Answer:

b

Step-by-step explanation:

hope it helped u take a look at the picture u attached

For the given standard deviation the minimum value we would assign is 22.the maximum value we would assign is 88.

To calculate the minimum and maximum values based on the given information, we need to consider the standard deviation and the respective interest rates for the 3-year and 10-year periods.

Given:

S = 26.32 (Initial value)

E = 55 (Expected value)

t = 3 (Years)

Standard deviation = 60% (of the expected value)

3-year interest rate = 2.4%

10-year interest rate = 3.1%

To find the minimum value, we will calculate the value at the end of the 3-year period using the lowest possible growth rate.

Minimum value calculation:

Minimum value = E - (Standard deviation * E) = 55 - (0.6 * 55) = 55 - 33 = 22

Therefore, the minimum value we would assign is 22.

To find the maximum value, we will calculate the value at the end of the 10-year period using the highest possible growth rate.

Maximum value calculation:

Maximum value = E + (Standard deviation * E) = 55 + (0.6 * 55) = 55 + 33 = 88

Therefore, the maximum value we would assign is 88.

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If a translation maps H onto J, the option from the following statements which is true is:  ∠I ≅ ∠K (Option 1)

A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction. The four fundamental translations or transformations in geometry are:

With regard to the above answer, note that, because both triangles have the same vertex, angle HGI is equivalent to angle JGK. Angle H is parallel to angle J.

As a result, by converting angle I to angle K, their measurements will be equivalent. As a result, the angle I is congruent with angle K.

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Full Question:

If a translation maps H onto J, which of the following statements is true?

1. ∠I ≅ ∠K

2. GH = 2GJ

3. ∠G ≅ ∠K

4. HI = 2JK

Answer:

The answer is 75

Step-by-step explanation:

3/8*200=75.

Step-by-step explanation:

please mark me as brainlest to all questions

Step-by-step explanation:

hope it's helpful for you

pls mark above guy ans as brainliest

Answer: The answer is -5 I think

Step-by-step explanation:

Hello there!

The value of 3-(-2) = 3+2=5

Therefore, our final answer is: 5

Hope this helps you!

~Just a felicitous girlie

#HaveAnAwesomeDay

\(SilentNature :)\)

The price of gasoline and oil will be equal in price after 4 years when the price of gasoline is $2.27 per gallon and decreases at the rate of $0.03 every two months.

To find out when the price of gasoline and oil will be equal, we have to set the two prices equal to each other and solve for time. The price of gasoline decreases at the rate of $0.03 every two months and the price of oil increases at a rate of $0.05 every six months.

We can start with the initial prices and solve for the time when they are equal:

$2.27 - 0.03t = 0.45 + 0.05t

where t represents the time in years.

Solving for t, we get:

$2.27 - 0.03t = 0.45 + 0.05t

$1.82 = 0.08t

t = 22.5

Since t is in months, we have to divide by 12 to convert it to years:

t = 22.5 / 12 = 1.875

So the price of gasoline and oil will be equal in price after approximately 4 years.

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