The given line passes through the points (-4, -3) and (4.
1)
What is the equation, in point-slope form of the line that is
perpendicular to the given line and passes through the
point (-4, 3)?
V-3 -2(x+4)
3-
2-
+
Oy-3 =-{(x+4)
Ov-3 = {(x + 4)
-2
y-3 =2(x + 4)
-3
(-3)

To convert 21.73 m to customary units, we need to use the conversion factors as follows:

meter = 39.37 inches1

inch = 2.54

cm1 foot

= 12 inches

We have:

21.7.

3 m

= 21.73 x 39.37 inches (since 1 mete

r = 39.37 inches)

= 856.301 inches

= 71 feet 4.3 inches (since 1 foot = 12 inches)

The smallest tick mark on

1" = 1' 0"

architect’s scale is 1/16 inch.

This means that there are 16 tick marks in an inch. A fractional ruler was used for scale measurements of a line on the 1/4" = 1'-0" scale. The two ends of the line correspond to 6 2.7/4" and 9 6/8". To get the length of the line in inches, we need to convert the two ends to inches, then subtract them to get the length as follows:

\(6 2.7/4" \\= 6 x 12 + 2.7\\ = 74.7"  (since 1 foot\\ = 12 inches)\\9 6/8" = 9 x 12 + 6 \\= 114" (since 1 foo\\t = 12 inches)\)

Length of the line = 114 - 74.7 = 39.3 inches (rounded off to one decimal place)

Multiplying 3/5 by

\(17/13\\ gives:\\3/5 x 17/13\\= (3 x 17)/(5 x 13)\\= 51/65\)

This is already in its lowest form.

Therefore, the answer is:51/65 (an improper fraction)

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Answer:

a. -1.60377

b. 0.25451

c. 0.344

d. Option b) 78th

Step-by-step explanation:

The number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.12.

a)What is the z-score value of a randomly selected bag of Skittles that has 35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

z = 35 - 38.4/2.12

= -1.60377

Option b) -1.62 is correct

b) What is the probability that a randomly selected bag of Skittles has at least 37 Skittles? a) .152 b) .247 c) .253 d).747e).7534. .

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (37 - 38.4)/2.12

= -0.66038

P-value from Z-Table:

P(x<37) = 0.25451

The probability that a randomly selected bag of Skittles has at least 37 Skittles is 0.25451

Option c) .253 is.correct

c) What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125.

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

For 39 Skittles

z = (39 - 38.4)/2.12

= 0.28302

Probability value from Z-Table:

P(x = 39) = 0.61142

For 42 Skittles

z = (42 - 38.4)/2.12

= 1.69811

Probability value from Z-Table:

P(x = 42) = 0.95526

The probability that a randomly selected bag of Skittles has between 39 and 42 Skittles is:

P(x = 42) - P(x = 39

0.95526 - 0.61142

0.34384

= 0.344

Option c is.correct

d) What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (40 - 38.4)/2.12

= 0.75472

P-value from Z-Table:

P(x = 40) = 0.77479

Converting to percentage = 0.77479× 100

= 77. 479%

≈ 77.5

Percentile rank = 78th

The digraph of the relation r is on the image at the end.

Here we just need to make two sets of numbers in columns, one column is the domain which we know is {1,2,3,4}, the other column is the range which we know is {1, 2, 3, 4}

To make the digraph, just connect the points in the way that the relation suggest.

This is, we can see the point (1, 2)

Then we make an arrow that comes from the "1" in the domain and goes to the "2" in the range.

The digraph can be seen in the image at the end of the answer.

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Answer:

\(x=\frac{3}{7} lbs\)

Step-by-step explanation:

\(x=\frac{3}{4}(x)+\frac{3}{4}\)

\(x+\frac{3}{4}(x)=\frac{3}{4}\)

\(\frac{7}{4}(x)=\frac{3}{4}\)

\(x=\frac{12}{28} =\frac{3}{7}lbs\)

the algorithm can increase its chances of finding global optima or near-optimal solutions by exploring diverse areas of the feasible region.

WHat is feasible region?

The feasible region refers to the set of all feasible solutions that satisfy the constraints of an optimization problem. It represents the region of the solution space where the objective function can be optimized while satisfying all the given constraints. The feasible region helps to narrow down the search space and identify the optimal or acceptable solutions for the problem.

The evolutionary solver setting that helps the algorithm explore a completely different area of the feasible region is "diversification" or "exploration."

Diversification is a strategy used in evolutionary algorithms to promote exploration of the search space. By introducing mechanisms like randomization, mutation, or crossover, the algorithm can generate new solutions that are different from the current population. This helps to avoid getting stuck in local optima and allows the algorithm to explore different regions of the feasible solution space in search of potentially better solutions.

By applying diversification techniques, the algorithm can increase its chances of finding global optima or near-optimal solutions by exploring diverse areas of the feasible region.

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The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. If dN/dt > 0, then N increases.

The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. Logistic growth takes into account the carrying capacity of the environment, represented by K, which limits the growth of a population as it approaches this limit. In contrast, exponential growth assumes an unlimited supply of resources and no constraints on population growth. Therefore, as N approaches K, logistic growth begins to level off, while exponential growth continues to increase indefinitely.
If dN/dt > 0, then N increases. This means that the population size is growing at a positive rate. If dN/dt is equal to zero, then N remains stable, indicating that the population size is not changing. Finally, if dN/dt is negative, then N decreases, indicating that the population size is shrinking. Therefore, the correct answer to this question is "increases."

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The general solution of the differential equation 81y'' + 144y' + 64y = 0 is y = C1*e^(2x) + C2*e^(-4x), where C1 and C2 are constants of integration.

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Answer:

discount rate: 11.585. tax rate: 15.557 can I get brainleist

The correct answer is The complete price (minus returns) is due within 30 days, or a 2 percent discount for payments made within 10 days.

2. Net Sales are Going Up.

Explanation:

1. The breakdown of a company's sales discounts with terms 2/10, n/30 is as follows:

The % discount is represented by 2,

You must pay the business within 10 days to be eligible for the discount.

If you were unable to pay the corporation within the first 10 days, you would have had n/30 days to do so. You are not eligible for the discount if you pay during this time frame after the first 10 days.

Consequently, the parameters of the sales discount mentioned above are a 2 percent discount for payment within 10 days, or the full amount (less returns) due within 30 days.

2. As goods are returned and risk must be managed, sales returns and sales allowances have the impact of lowering the net sales total. Therefore, if they decrease, net sales increase.

A decrease in the credit card company's discount also causes a rise in sales because it increases the amount made per sale or transaction and decreases the amount the company must provide in discounts.

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Answer:

6283.2

Step-by-step explanation:

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

=\(=\pi *10^{2} *20\)

=6283.18531

=6283.2(correct to the tenths place)

Answer:

6,283.2 in^3

Step-by-step explanation:

The volume formula for a cylinder is V = (pi)r^2*h

and in this case r = 10 in, h = 20 in

so the volume of this cylinder is

V = 3.14159(10 in)^2*(20 in) = 6,283.2 in^3

The pound of Red Delicious apples that he bought more is 31. pounds.

Amount of pounds of Fuji apples bought = 4.54

Amount of pounds of Red Delicious apples = 6.8

Amount of pounds of Golden Delicious apples = 3.7

The amount of pounds of Red Delicious apples than Golden Delicious apples that he buy will be the difference between the values. This will be:

= 6.8 - 3.7.

= 3.1 pounds.

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The equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x

The attached table of values represents the missing piece in the question.

Start by calculating the rate of change using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (14.77 - 10.55)/(7- 5)

Evaluate

m = 2.11

The equation is then calculated using:

y = m(x - x1) + y1

This gives

y = 2.11(x - 5) + 10.55

Evaluate

y = 2.11x - 10.55 + 10.55

y = 2.11x

Hence, the equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x

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Answer:

w = 59

Step-by-step explanation:

90 + 31 +w = 180

121 +w = 180

w = 180 - 121

w = 59

Answer:

2

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -2*y-(-4*x+5)=0

STEP 1:

Pulling out like terms

1.1     Pull out like factors :

  -2y + 4x - 5  =   -1 • (2y - 4x + 5)

Equation at the end of step 1:

STEP 2:

Equation of a Straight Line

2.1     Solve   -2y+4x-5  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -2y+4x-5  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/-2 so this line "cuts" the y axis at y=-2.50000

 y-intercept = 5/-2  = -2.50000

Calculate the X-Intercept :

When y = 0 the value of x is 5/4 Our line therefore "cuts" the x axis at x= 1.25000

 x-intercept = 5/4  =  1.25000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.500 and for x=2.000, the value of y is 1.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.500 - (-2.500) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 2

Geometric figure: Straight Line

 Slope = 2

 x-intercept = 5/4 = 1.25000

 y-intercept = 5/-2 = -2.50000

Answer:

2

Step-by-step explanation:

y=mx+b where m is the slope

to get y by itself you divide both sides by -2 resulting in

y= 2x+(-5/2)

2=m

Answer:

60 books in one bookcase

12 books in one shelf

plz mark brainliest

Step-by-step explanation:

figures is one bookshelf =240/4

figures in each shelf=240/4*5

Required standard form of perimeter and area are 12x + 4 and 8x² + 12x - 8 respectively.

What is the perimeter of rectangle?

The polynomial expression for the perimeter of a rectangle is P = 2(length + width)

According to given figure, here length is (2x+4) and breadth is (4x-2).

Putting the given values, we get:

P = 2×[2x+4+4x-2]

P = 2[6x + 2]

P = 12x + 4

Therefore, the polynomial expression for the perimeter is 12x + 4 in standard form.

The polynomial expression for the area of the rectangle is A = length × width

Putting the given values,

A = (2x+4) × (4x-2)

A = 8x² + 12x - 8

Therefore, the polynomial expression for the area is 8x² + 12x - 8 in standard form.

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474 is the Annual percentage rate (APR).

What is APR in plain English?

If you have a balance on your credit card, you will pay an annual percentage rate (APR) of interest. The cost of borrowing money is what you pay in interest on a credit card. The interest rates on credit cards are often expressed as an annual rate. The yearly percentage rate is used to describe this (APR).

                     Certain credit cards feature variable APRs, which means that your rate may increase or decrease over time.

$331.16 * 24 + 775 - 7775 = 947.84

She over paid $ 947.84

24 months equals two years.

  947.84/2 = 473.92 ≈ 474

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Answer:

Step-by-step explanation:

Did u get an answer???

Answer: The answer is A.  

Step-by-step explanation:

since $12 is the amount of money he gets from selling scarves you have to subtract $2 from that because that's the amount of money he losses to make the scarves. then you have to subtract $45 because he had to pay for the booth so the answer is P(x) = 10x - 45

Hence, the number of people are in the Smith family is \(23\).

What is the division?

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

Here given that,

A hotel charges $\(80\) for a basic room for one person per night. It charges $\(15\) for each additional person per night. The Smith family takes three rooms for three nights. The bill comes to $\(1035\).

So,

Rent for the one day is

\(\frac{1035}{3}=345\)

Number of people are in the Smith family is

\(\frac{345}{15}=23\)

Hence, the number of people are in the Smith family is \(23\).

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The given problem involves Simple Single Server queuing model.In the given problem, a vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour (Poisson distributed).

The operating characteristics of this system can be determined by using the following formulas:Average Number of Customers in the System, L = λWwhere, λ= Average arrival rateW= Average waiting timeAverage Waiting Time in the System, W = L/ λProbability of Zero Customers in the System, P0 = 1 - λ/μwhere, μ= Service rateThe given problem can be solved as follows:Given that, λ = 60 per hourSo, the average arrival rate is λ = 60/hour. We know that the exponential distribution (which is a Poisson process) governs the time between arrivals. Therefore, the mean time between arrivals is 1/λ = 1/60 hours. Therefore, the rate of customer arrivals can be calculated as:μ = 1/20 secondsTherefore, the rate of service is μ = 3/hour.

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Answer:

D. 79%

Step-by-step explanation:

Took the the on USA Test prep

If a point is randomly selected from the rectangular area of the graph, the probability that it will be in the blue region is 79%.

The ratio of the number of favorable outcomes to the total number of outcomes of an event is known as probability.

It is given that, the length=20, the width=10, and the radius of half circle=10.

Calculate the area of the rectangle.

Knows the area of the rectangle is the product of length and width.

So,

\(\Rightarrow \text{Area of rectangle}=\text{10}\times \text{20} \\ \Rightarrow \text{Area of rectangle}=200 \\\)

Calculate the area of the half-circle.

Knows the area of the half-circle\(=\frac{\pi r^{2} }{2}\).

So,

\(& \Rightarrow \text{Area of half circle}=\frac{3.14\times 10\times 10}{2} \\ & \Rightarrow \text{Area of half circle}=\frac{314}{2} \\ & \Rightarrow \text{Area of half circle}=157 \\\)

Calculate the probability that it will be in the blue region.

Knows the formula for the probability, \(\text{Probability}\left( \text{Event} \right)=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}\)

So,

\(& \Rightarrow \text{Probability}=\frac{\text{157}}{200} \\ & \Rightarrow \text{Probability}=0.78539 \\ & \therefore \text{Probability }\%=79\% \\\)

Thus, the correct answer is an option (D). i.e., 79%.

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Answer:

Less than symbol (<)

Step-by-step explanation:

For example:

A set of numbers that are in ascending order

1<2<3<4<5<6<7<8<9<10

The less than symbol is used to denote the increasing order.

Hope this helps

Answer:

(-4,2)

Step-by-step explanation:

Answer:

(-4,2)

Step-by-step explanation:

hope this helps

Answer:

69

Step-by-step explanation:

180-45=135

69 is the nearest angle degree.

Answer:

The measure of the arc 13cm long with a radius = 1  is 13rad

The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.

Length of an arc = ∅/360 x 2πr

where ∅ = subtended angle in degree

r = 1 = radius of the complete circle

length = 13

13 =  ∅ /360 x  2 x π x 1

but 2π rad = 360  degrees

substitute  2π rad  for 360 into the equation

13 =  ∅/2π rad  x 2 x π x 1

By cross multiplying

∅ = 13 x 2π rad / 2 x π

∅ = 13 rad

In conclusion, the angle subtended by the arc in radians is 13 rad.

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Answer:

B. Y= 2x - 4

Step-by-step explanation:

I think, so sorry if wrong

I needes y on its own so I devided the equation by 3

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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