length = 17.5 ft
width = m
area = 241.5 ft
m = ? feet

Answer:

A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.

Step-by-step explanation:

(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-

(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.

(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K

Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.

Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.

(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.

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Answer:

x = 0   or   x = - 16

Step-by-step explanation:

16+x^2=0

x ( x + 16 ) = 0

using the algebra rule a . b = a = 0 and b = 0

x = 0    or   x = - 16

so the answer is  x = 0 and x = -1 6

Mark brainliest plsssssssssss

NC Mutual's expected gain is $4,400. This means that on average, they expect to make a profit of $4,400 from selling this one-year term policy to the 60-year-old woman.

To calculate NC Mutual's expected gain or loss, we need to first determine the expected payout if the woman dies within one year. Since she has purchased a $10,000 one-year term policy, the expected payout would be $10,000.
Next, we need to calculate the probability of the woman dying within one year. According to NC Mutual's mortality table, the probability is 0.5.
Now, we can calculate NC Mutual's expected gain or loss:
Expected Gain = Probability of Death x Payout - Premium
Expected Gain = 0.5 x $10,000 - $600
Expected Gain = $5,000 - $600
Expected Gain = $4,400

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that the separation of men and women into separate spheres under the factory system could have several long-term effects.

this is that the separation of work and home life created a divide between genders, leading to the reinforcement of traditional gender roles. Women were expected to prioritize their roles as caretakers of the home and children, while men were expected to prioritize their roles as breadwinners. This separation also contributed to the gender wage gap as women's work was seen as less valuable than men's work.

Another long-term effect of this change could be the development of a gendered division of labor in society. This means that certain jobs and industries may become dominated by one gender, perpetuating gender stereotypes and limiting opportunities for individuals who do not fit within traditional gender roles.

the separation of men and women into separate spheres under the factory system may have contributed to the reinforcement of gender roles and the gender wage gap. Additionally, it could have led to a gendered division of labor in society that perpetuates gender stereotypes and limits opportunities for individuals.

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Answer:

j= -0.4

Step-by-step explanation:

multiply both sides by 60

=45j(+12)=30-12

take the 12 ti the right hand side and the sign changes

= -45j=18 then divide by 45 on both sides

j= -2/5

j= -0.4

Answer:30

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

When given a fractional power, you want to try to see if the base has any power that can be used to simplify the power.

Since a^b/c =

\( \sqrt[b]{ {a}^{c} } \)

8^1/3=

\( \sqrt[3]{ {8}^{1} } \)

8 times by it self it 8

cube root of 8 is three numbers that are the same and times by each other to give 8

2×2×2=8

》2

If on january 1, year 1, billy co signed a three-year lease for office space The amortization expense on this leasehold improvement that Billy should  record for Year 2 is: $1,000.

Since we were told that the new overhead lighting fixtures is the amount of $2,000 now let determine the  Amortization expense using this formula

Amortization expense = New overhead lighting fixtures / 2 years

Let plug in the formula

Amortization expense =  $2,000 /2

Amortization expense = $1,000

Therefore the  Amortization expense  is the amount of $1,000.

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The complete question:

On January 1 , Year 1, Billy Co. signed a three year lease for office space. The lease required monthly rent of 8,000 for the first year. 8,100 for the second year and 8,200 for the 3rd year. Billy has the option to renew the lease for a fourth year at 8,300 per month. On January 1, Year 2, Billy permanently installed new overhead lighting fixtures at a cost of $2,000. How much amortization expense on this leasehold improvement should Billy record for Year 2?

Therefore , the solution of the given problem of rational numbers  comes out to be A) 0.75 can be written as 75/100.

Rational numbers are those that may be written as a ratios (or fraction) of 2n. A fraction with a nonzero denominator is said to be rational. A few instances of rational numbers are 1/2, 1/5, and 3/4. As a real function, "0" can also be stated in a number of different ways, such as 0/1, 0/2, etc 0/3. But 1/0, 2/0, 3/0, and so forth. The number seven makes sense. A rational number is produced when three integers are split. To get the rational number 7, divide whole 7 ps by the total number 1. Since 7 can be obtained by dividing two integers, it is referred to as a real function.

Here,

Given :

=> Any number that can be expressed as a straightforward fraction is considered rational. This is the shape of a fraction: => a/b

where the denominator is "b" and the numerator is "a". Since both are integers, b 0.

=>Simple fractions cannot be used to represent irrational values.

So,

A) 75/100 is equivalent to 0.75 rational.

B) √√3 is irrational.

C) √√√9 is irrational.

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Answer:

s(3) = 42

Step-by-step explanation:

if t = 3 then...

s(3) = 15 (3^3)      -  Given       now all we need to do is simplify

s(3) = 15 + 27       - add like terms (15 + 27)

s(3) = 42              - the answer :D

Mark brainlesit if this helped!

Answer:

0.003, 0.03, 0.303, 0.383, 3.03, 33.03

Step-by-step explanation:

By adding both sides, the inequality system of equations for 3x + y -1 can be solved as x = 1/3 + y/3.

A relationship among two expresses or value that is not equal in mathematics is referred to as an inequality. Thus, disparity results from imbalance. In algebra, an inequality establishes the links between two non-equal numbers. Egality and injustice are not the same. Were using the not equal symbol most frequently when two quantities are not equal (). Values of any size can be contrasted using a variety of inequalities. By changing the two aspects until only the variables are left, some straightforward inequalities can be solved. However, a variety of factors support inequality: Both side' negative values are split or added. Exchange either left and the right.

given

3x + y < -1

Add y to both sides of the equation.

3x=1+y

Divide each term in 3x=1+y by 3 and simplify.

By adding both sides, the inequality system of equations for 3x + y -1 can be solved as x = 1/3 + y/3.

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Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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The average daily change in temperature is approximately 0.50°C.

The expression to show the average daily change in the temperature of the city is:
(2.34 - 2/7 - 0.45 + 3/8) / 4
There are no parentheses or exponents in this expression, so you can move on to the division and addition/subtraction steps. To divide 2 by 7, you can convert it to a decimal by dividing 2 by 7 using a calculator or long division. The answer is approximately 0.29. To divide 3 by 8, you can convert it to a decimal by dividing 3 by 8 using a calculator or long division. The answer is approximately 0.38.
Now you can substitute these decimal values into the expression and simplify it:
(2.34 - 0.29 - 0.45 + 0.38) / 4
= 1.98 / 4
= 0.495

Rounding this answer to the nearest hundredth gives you an average daily change in the temperature of approximately 0.50 degrees Celsius.
To find the average daily change in temperature, you need to add all the temperature changes and divide by the number of days. Here are the temperature changes given: 2.34°C, -2/7°C, -0.45°C, and 3/8°C.
Step 1: Add the temperature changes:
2.34 + (-2/7) + (-0.45) + (3/8)
Step 2: Convert the fractions to decimals:
-2/7 ≈ -0.29 (rounded to 2 decimal places)
3/8 ≈ 0.38 (rounded to 2 decimal places)
Step 3: Substitute the decimals into the expression:
2.34 + (-0.29) + (-0.45) + 0.38
Step 4: Perform the calculations:
2.34 - 0.29 - 0.45 + 0.38 = 1.98
Step 5: Divide the sum by the number of days (4) to find the average daily change:
1.98 ÷ 4 ≈ 0.495
Step 6: Round the answer to the nearest hundredth:
0.495 ≈ 0.50

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Answer:

one apple per 3 bananas

Step-by-step explanation:

if u subtract 3 bananas then u gotta suntract from the rest too so 4-3= 1 apple 3-3= 0 plums

Let \(A=x+2\lt5, B=x-7\gt6\).

Simplifying both you get \(A=x\lt3,B=x\gt1\).

The set conjunction is \(A\cap B=1\lt x\lt3\).

So the answer is B.

Hope this helps.

Answer:

Assuming b

Step-by-step explanation:

the person above said it was b so

The probability that a randomly selected member of the US labor force was unemployed in 2011 was approximately 0.087 or 8.7%.

This can be calculated by dividing the number of unemployed individuals in the labor force by the total number of individuals in the labor force. According to the US Bureau of Labor Statistics, there were 13.9 million unemployed individuals in the US labor force in 2011, out of a total labor force of 159.7 million. Dividing 13.9 million by 159.7 million gives a probability of approximately 0.087, or 8.7%.

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Answer:

length = 75 ft and width = 25 ft

Step-by-step explanation:

Let W = width of rectangle

Let L = length of rectangle

Area of a rectangle = L x W

Perimeter of a rectangle = 2L + 2W

Therefore, if the perimeter is 200 ft then:

2L + 2W = 200

2(L + W) = 200

    L + W = 100

           L = 100 - W

If the Area is 1875 ft² then:                             1875 = L x W

Substitute the equation for L found above:  1875 = (100 - W) x W

Expand the brackets:                                    1875 = 100W - W²

Subtract 1875 from both sides:  100W - W² - 1875 = 0

Swap signs:                                W² - 100W + 1875 = 0

Factorize:                                       (W - 25)(W - 75) = 0

Therefore, W = 25 or 75

If W = 25, then L = 100 - 25 = 75

If W = 75, then L = 100 - 75 = 25

Therefore, as length > width, length = 75 ft and width = 25 ft

The equation of the line passing through the point (-2, 5) and perpendicular to the line 6x + 2y = 8 is \(y = \frac{1}{3}x + \frac{17}{3}\).

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line:

6x + 2y = 8

Solve for y:

2y = -6x + 8

y = -3x + 4

From the equation above, we can see that the slope of the given line is -3.

The negative reciprocal of -3 is 1/3.

So, the slope of the line perpendicular to the given line is 1/3.

Plug the slope m = 1/3 and point (-2,5) into point-slope formula and simplify.

( y - y₁ ) = m( x - x₁ )

\(y - 5 = \frac{1}{3}( x + 2) \\\\y - 5 = \frac{1}{3}x + \frac{2}{3} \\\\y = \frac{1}{3}x + \frac{17}{3}\)

Therefore, the equation of the line is \(y = \frac{1}{3}x + \frac{17}{3}\).

The complete question is:

Find the equation of the line passing through the point (−2,5) that is perpendicular to the line 6x + 2y = 8.

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Answer:The first table is linear.  The other are not linear.

Step-by-step explanation:

To test the convergence or divergence of the given series, we can use the alternating series test. This test states that if the series alternates signs and the absolute value of each term decreases as n increases, then the series converges.

In this case, we have an alternating series with the terms (-1)^n * n^4 / (n^4 + n^2 + 1). Taking the absolute value of each term, we get n^4 / (n^4 + n^2 + 1), which is less than or equal to 1 for all n.
Also, the denominator of each term increases faster than the numerator, so the terms decrease in absolute value as n increases.
Therefore, by the alternating series test, the given series converges.
The alternating series test is a useful tool in determining the convergence or divergence of a series. It is a special case of the more general convergence tests such as the ratio test and the root test. In an alternating series, the terms alternate signs, which makes it possible to use the alternating series test to determine its convergence or divergence. The test checks whether the absolute value of each term decreases as n increases. If it does, and the terms alternate signs, then the series is said to converge. The test is particularly useful for series with alternating signs, such as the one presented in this question. By applying the alternating series test, we can conclude that the given series converges.

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When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is   \(\\26 \frac{2}{5}\).

What is improper fractions?

An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.

12 times 120% + 12

12*120%+12

\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)

Follow the PEMDAS order of operations

Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)

\(=\frac{72}{5}+12$$\)

Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)

\(=\frac{132}{5}$$\)

Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)

\(=26 \frac{2}{5}$$\)

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Answer: A

Step-by-step explanation: Translate up 1 unit, over to the right 5

The iterated integral that expresses the surface area of the function z = y^2cos(7x) over the given triangle can be written as ∫ba∫g(y)f(y)h(x,y)√dxdy.

To find the surface area over the given triangle, we can use a double integral. The surface area can be obtained by integrating the square root of the sum of the squared partial derivatives of the function with respect to x and y.

In the given case, the function is z = y^2cos(7x), and we are integrating over the triangle with vertices (-1,1), (1,1), and (0,2). To set up the double integral, we need to determine the limits of integration for both x and y.

The limits of integration for x can be determined by the range of x-values that cover the triangle, which is from -1 to 1 for this case. The limits of integration for y can be determined by the range of y-values that cover the triangle, which is from 1 to 2.

The integrand function f(x,y) represents the square root of the sum of the squared partial derivatives of z with respect to x and y. In this case, f(x,y) = √(1 + (7y^2sin(7x))^2).

By setting up the iterated integral as ∫ba∫g(y)f(y)h(x,y)√dxdy, with the appropriate limits of integration and integrand function, we can compute the surface area of the function over the given triangle.

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Answer:

768

Step-by-step explanation:

64 x 12 = 768

Answer:

768

Step-by-step explanation:

Answer:

4 = 8b >> b = 1/2 or 0.5

Step-by-step explanation: