A circle has a diameter of 6.7 feet. Which measurement is closest to the circumference of the circle in feet? *

Answer:

She will pay $75.00 less.

Step-by-step explanation:

To get ⅕ of 250, divide it by 5. (250÷5=50)

You also need to take 10% off of the original price. To do that, multiply 250 by 0.1. (250×0.1=25)

In total, she will pay $75.00 less, or $175.00. (50+25=75) (250-75=175)

The solution is y(t) = 2ln(t).

To solve the initial value problem using Laplace transform, we first need to take the Laplace transform of both sides of the differential equation:

L[y' * y] = L[t]

where L denotes the Laplace transform. We can use the convolution theorem of Laplace transforms to simplify the left-hand side:

L[y' * y] = L[y'] * L[y] = sY(s) - y(0) * Y(s) = sY(s)

where Y(s) is the Laplace transform of y(t). We also take the Laplace transform of the right-hand side:

L[t] = 1/s²

Substituting these results into the original equation, we get:

sY(s) = 1/s²

Solving for Y(s), we get:

Y(s) = 1/s³

We can use partial fraction decomposition to find the inverse Laplace transform of Y(s):

Y(s) = 1/s³ = A/s + B/s²+ C/s³

Multiplying both sides by s³ and simplifying, we get:

1 = As² + Bs + C

Substituting s = 0, we get C = 1. Substituting s = 1, we get A + B + C = 1, or A + B = 0. Finally, substituting s = -1, we get A - B + C = 1, or A - B = 0.

Therefore, we have A = B = 0 and C = 1, and the inverse Laplace transform of Y(s) is:

y(t) = tv²/2

To find the solution to the initial value problem, we substitute y(t) into the equation y' * y = t and use the fact that y(0) = 0:

y' * y = t

y' * t²/2 = t

y' = 2/t

y = 2ln(t) + C

Using the initial condition y(0) = 0, we get C = 0. Therefore, the solution to the initial value problem is:

y(t) = 2ln(t)

Note that this solution is only valid for t > 0, since ln(t) is undefined for t <= 0.

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Answer:165degrees

Step-by-step explanation

Use formula N-2 × 180 N is the number of sides

24-2=22

22x180=3960 total

for each angle divide total by 24=165 degrees

By using Chebyshev's Inequality with K=3, we can determine that at least 88.89% of the days had temperatures between "F and "F, where "F represents the mean temperature of 76.4°F.

Chebyshev's Inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. In this case, K=3 means that we are considering a range of three standard deviations from the mean.

The inequality states that for any dataset, the proportion of data falling within K standard deviations of the mean is at least 1 - (1/K^2). So, for K=3, we have 1 - (1/3^2) = 1 - (1/9) = 8/9 ≈ 0.8889. Therefore, at least 88.89% of the data falls within three standard deviations of the mean.

In the context of the temperature data, we can conclude that at least 88.89% of the days had temperatures between the mean temperature of 76.4°F minus three standard deviations (76.4 - 3 * 7.3) and the mean temperature plus three standard deviations (76.4 + 3 * 7.3). This range represents a relatively high proportion of the dataset, indicating that the temperature observations are fairly concentrated around the mean with limited extreme values.

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By using the combination, we find that there are 3,315,312,000 possible passwords if a password contains exactly 7 letters and each letter can only be used once.

To determine the number of possible passwords, we need to consider the number of choices for each letter. Since the password contains exactly 7 letters and each letter can only be used once, the number of choices decreases with each letter chosen.

For the first letter, there are 26 choices (all 26 letters of the alphabet).

For the second letter, there are 25 choices remaining (since one letter has already been used).

For the third letter, there are 24 choices remaining.

And so on.

Using the principle of multiplication of combination, we can multiply the number of choices for each letter:

26 × 25 × 24 × 23 × 22 × 21 × 20

This calculates the total number of possible passwords without repeating any letters. Evaluating the expression gives us the final answer:

26 × 25 × 24 × 23 × 22 × 21 × 20 = 3,315,312,000

Therefore, there are 3,315,312,000 possible passwords if the password contains exactly 7 letters and each letter can only be used once.

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Answer:

(x + 10)(x - 4)

Step-by-step explanation:

x² + 6x - 40

consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term.

the factors are + 10 and - 4 , since

10 × - 4 = - 40 and 10 - 4 = + 6 , then

x² + 6x - 40 = (x + 10)(x - 4) ← in factored form

 As you work on solving the problem, it's important to stay focused and motivated, even if progress is slow.Solving problems can be challenging, but with the right mindset and approach, it's possible to overcome even the toughest obstacles. Good luck!

you don't have much information about the problem you're facing, you can try to research it on your own. Look for similar situations that others have faced, and see what solutions they have found. You can also consult with experts or professionals in the relevant field who may be able to provide insight into how to solve the problem.Once you have a good understanding of the problem, you can begin to develop a plan to solve it. This might involve breaking the problem down into smaller parts, brainstorming possible solutions, or seeking advice from others who have faced similar issues. As you work on solving the problem, it's important to stay focused and motivated, even if progress is slow.Solving problems can be challenging, but with the right mindset and approach, it's possible to overcome even the toughest obstacles. Good luck!

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Answer:

14, 22, 30, 38, 46, 54, 62, 70, 78, 86, 94, 102...

THE ANSWER IS 102, because it is the closest number to 100 in the sequence.

Step-by-step explanation:

94 and 102, which one is closest to 100?

Of course 102.

Answer:

3.52

Step-by-step explanation:

subtract the price of milk chocolate and caramels

Answer:

$5.50

Step-by-step explanation:

You need to divide $2,673 by 486.

The circumference of the given circle is 25.1 cm.

According to the statement

we have given that the the radius of circle which is 4cm.

And we have to find the circumference of the circle.

So, For this purpose

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center.To calculate the circumference of a circle, multiply the diameter of the circle with π (pi).

The formula to calculate it is

C = 2(pi)r

So, substitute the values in it then

Here use pi value is 3.14

C = 2 *3.14*4

C = 25.12.

The circumference of the given circle is according to one decimal place is 25.12 cm.

So, The circumference of the given circle is 25.1 cm.

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Answer:

y= -1+5x

Step-by-step explanation:

The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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The measure of ∠M and ∠L is 45 degrees. then the measure of ∠N  is 90 degrees.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints. The point of their joint is called vertex of that angle. Those two line segments forming it are called arms of that angle. The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

Given that the angle L M N the measure of angle L is equal to the measure of angle M.

∠L = ∠M

Also, the measure of angle N is twice the measure of angle M.

∠N = 2∠M

The measure of each angle in angle L M N would be;

∠L + ∠M + ∠N = 180

∠M + ∠M + 2∠M = 180

4∠M = 180

∠M = 180/4

∠M = 45

∠M = ∠L = 45 degrees

∠N = 2 x 45 = 90

Therefore, the measure of ∠M and ∠L is 45 degrees. then the measure of ∠N  is 90 degrees.

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Answer:

9. C) 12 and 10) C) 100 units

Step-by-step explanation:

Ignore the negatives, you just add the numbers 12 and 20 for number 9 and add both 50's on number 10.

Answer:

9)32

10)100 Units

Step-by-step explanation:

measure the distance , it's easy

-12 to zero is 12 , 0 to 20=20

so 12+20=32

Answer:

9000 panels

Step-by-step explanation:

See attached for detailed explanation.

Remember that percent means division by a 100.

The wages earned by the worker after assembling 300 parts is $90.

The equals sign indicates that two expressions in a formula, also known as an equation, are equal.

Given:

The no of parts assembled by the worker, n = 250,

The wage he gets, r = $75

The wage earned to assemble one part = 75 / 250 = $0.3

So, the wage earned by worker by assembling 300 parts = 0.3 × 300 = $90

Therefore, the wage earned by the worker after assembling 300 parts is $90.

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Answer:

Area = 8 sq cm

Step-by-step explanation:

This shape is a parallelogram. Its like a rectangle that got tipped over. Area is:

base × height.

We don't know the base that is on the bottom of the image as it is shown. But if you turn it sideways, the 4 can be the base and the 2 is the height.

Area = b × h

= 4 × 2

= 8

The area is 8 sq cm.

Answer:

the difference is 1/21

Step-by-step explanation:

2/3 equals 14/21 and 5/7 equals 15/21

Answer:

Etymology ois teh acrorect anwser becuae it sues the rosdws

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

The prism shown is a triangular prism

The volume of a triangular prism can be found by multiplying the area of the base ( which is a triangle ) by the length of the prism ( which is 10 feet )

First let's find the area of the base.

To find the area of a triangle we use this formula \(A=\frac{bh}{2}\)

where b = base length and h = height

The base length is 6ft and the height is 4ft.

Using these dimensions we plug in the values into the formula

\(\frac{4*6}{2} \\4*6=24\\\frac{24}{2} =12\)

So the area of the base is 12ft²

Finally to find the volume we multiply the area of the base by the length of the prism

12 * 10 = 120

Hence, the volume of the prism is 120ft³

The volume of the tool box is 350 cubic inches

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

dimensions of 10 in by 5 in by 7 in

The volume of the tool box is the product of the dimensions

So, we have

Volume = 10 * 5 * 7

Evaluate

Volume = 350

Hence, the volume of the tool box is 350 cubic inches

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Question

A tool box has the dimensions of 10 in by 5 in by 7 in

Calculate the volume of the tool box

Answer:If f(1)=3 and f(n)=3f(n-1)-n then find the value of f(5)

Step-by-step explanation:the value of f would be 3 and n would be 1 4/5(9/5).

Given:

Principal Amount, P = $4,400

Interest rate, r = 90%

Here, Camilla needs to create an exponential equation that allows her tract the interest earned over time.

This is a Compound interest problem.

To find create an exponential equation, apply the formula below:

WHere:

P is the principal amount = $4,400

r is the rate = 90% = 0.90

t is the time (number of years)

Input values into the equation above:

Therefore, the exponential equation that allows her to track the interest earned over time is:

Plugging the value for the number of years for t, you will get the interest earned over time, t.

ANSWRER:

In both cases, the fractions 2/n and m/n will yield terminating decimals.

If 1/n is a terminating decimal, it means that when expressed as a decimal, the fraction 1/n has a finite number of digits after the decimal point. In other words, it does not result in a repeating decimal.

In the case of 2/n, where n is a non-zero integer, the result will also be a terminating decimal. This is because multiplying the numerator of 1/n by 2 does not introduce any additional repeating patterns or infinite decimal expansions. Therefore, 2/n will also have a finite number of digits after the decimal point.

Similarly, if m/n is a fraction where m is a counting number less than n, the resulting decimal will also be terminating. Since m is a counting number less than n, multiplying the numerator of 1/n by m does not introduce any repeating patterns or infinite decimal expansions. Hence, m/n will have a finite number of digits after the decimal point.

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$11,700.00  is are the annual taxes.

What is the meaning of annual tax?

Annual Tax is the real property tax assessed on a property for a fiscal year, as determined after deducting any amounts from which the property is exempt or whose assessment has been reduced in accordance with applicable law.

a property is valued = $487,500

$487,500 /2 = $243750

"per $100 of valuation"  tax units =  $243750 / 100 = $2437.5

Total tax = $2437.5 * 4.80 =   $11,700.

Therefore, the $4.80 rate for a total tax of $11,700.

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Equation of the line is -1/4x-5

From the question, we have

the given points (-8,-3) and (-12,-2) .

\(y-y_1=(y_2-y_1)/(x_2-x_1 ) (x-x_1 )\\y+3=(-2+3)/(-12+8)(x+8)\\y+3=1/(-4)(x+8)\\y=-1/4 x-2-3\\f(x)=-1/4 x-5\)

Slope:

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

Consequently, the formula for the change in y-coordinate with respect to the change in x-coordinate is

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Slope, m = Change in y-coordinates/Change in x-coordinates

m = (y2 – y1)/(x2 – x1)

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Answer: It could be, just add two dots at the smiley face, BOOM! The function of Facial muscles in humans.

Step-by-step explanation: