What is the result when the number 20 is decreased by 75%?\

The circumcenter of the triangle ABC with A(1,6), B(1, 4), C(5, 4) is at point: (3,5).

From observation:

Therefore, the circumcenter of the triangle ABC with A(1,6), B(1, 4), C(5, 4) is at point: (3,5).

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To determine the number of units that should be ordered, we need to consider the lead time, demand, and the desired probability of not stocking out.

1. First, let's calculate the demand during the lead time. Since the lead time is 7 days and the average daily demand is 20 units, the demand during the lead time is 7 days * 20 units/day = 140 units.

2. Next, we calculate the safety stock needed to achieve the 95% probability of not stocking out. The safety stock is the product of the standard deviation and the Z-score corresponding to the desired service level. For a 95% probability, the Z-score is 1.65. So, the safety stock is 1.65 * 5 units = 8.25 units (rounding up to 9 units).

3. Now, we calculate the reorder point, which is the sum of the demand during the lead time and the safety stock. Reorder point = 140 units + 9 units = 149 units.

4. Finally, we subtract the current on-hand units and the units sold today from the reorder point to determine the number of units to be ordered. Units to be ordered = 149 units - 180 units + 20 units = -11 units.

Since we cannot order a negative number of units, we conclude that no units should be ordered in this scenario.

Based on the given information and calculations, no units should be ordered in this case as there is no need to replenish the stock.

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Using quantitative techniques in the context of The New York Times has both advantages and disadvantages.

The advantages  are:

accuracy:

Quantitative techniques can provide more precise and accurate data, which can lead to more accurate reporting and analysis of news articles.

Data-Driven Insights:

Quantitative techniques help identify trends and patterns in data and help journalists make informed decisions about what to report on.

Objectivity:

Quantitative techniques help reduce bias and subjectivity in reporting by relying on data rather than personal opinions or interpretations.

The disadvantages include:

Lack of context:

Quantitative methods can oversimplify complex issues, resulting in misleading or inaccurate reporting.

Data limit:

Quantitative methods are data-dependent and results may not be reliable if data are incomplete or inaccurate.

Overall, it is very useful for the journalists in the New York Times to use  quantitative techniques

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Answer:

x = 8

y = 8

Step-by-step explanation:

y = 8

2x - 3y = -8

We substitute 8 in for y and solve for x

2x - 3(8) = -8

2x - 24 = -8

2x = 16

x = 8

Let's Check the answer.

2(8) - 3(8) = -8

16 - 24 = -8

-8 = -8

So, x = 8 and y = 8 is the correct answer.

Answer:

x = 8 and y = 8.

Step-by-step explanation:

To solve the system of linear equations using the elimination method, we'll eliminate the variable "y" by substituting the given value of y into the second equation. Let's start:

Given equations:

y = 8

2x - 3y = -8

Substitute y = 8 into equation 2:

2x - 3(8) = -8

2x - 24 = -8

Next, we'll solve this equation for x:

2x - 24 = -8

2x = -8 + 24

2x = 16

x = 16/2

x = 8

Now that we have the value of x, we can substitute it back into equation 1 to find the value of y:

y = 8

So, y = 8

Therefore, the solution to the given system of equations is x = 8 and y = 8.

Given that a card is drawn at random from a standard deck of cards. We are asked to find the probabilities of

1) A queen or a spade.

2) A black or a face card.

3) A red queen.

This can be seen below;

Explanation

The formula for the probability of an event is given as;

For a given deck of cards, the number of total possible outcomes is 52 different cards. Next, we find the number of events for each case

Therefore we can find the probability in each case. Recall that "or" in probability implies we will add the values of the probabilities we are comparing.

1) A queen or a spade

Answer

2) A black or a face card

Answer:

3) A red queen

Answer

Both options a. A = 129.9° and b. A = 53.1° are correct.

To find the possible values for angle A in triangle ABC, we can use the Law of Sines, which states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

Using the Law of Sines, we have sin(A)/a = sin(B)/b. Plugging in the given values, we get sin(A)/36 = sin(51°)/35.

To find the two possible values for angle A, we can solve the equation sin(A)/36 = sin(51°)/35. Taking the arcsine of both sides, we have A = arcsin((sin(51°)/35)*36).

Calculating this expression, we find two possible values for angle A:

A ≈ 53.1° (rounded to the nearest tenth)

A ≈ 129.9° (rounded to the nearest tenth)

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Answer:

x = 25.5 degrees

Step-by-step explanation:

x is part of an isosceles triangle.

Since a is 51, the supplement (& biggest angle in the x isosceles) is going to be 180 - 51 = 129.

That leaves 51 for the rest of the angles, which we have to divide by 2.

51 / 2 = 25.5 degrees

The value of 3⋅C⋅(2A×B) is 126.00. This is obtained by calculating the cross product of A and B, then taking the dot product with C and multiplying by 3.



To find the value of the expression 3⋅C⋅(2A×B), we need to calculate the cross product of vectors A and B, and then perform the dot product with vector C. Let's break it down step by step.

Vector A = 3.00i^ + 3.00j^ - 3.00k^

Vector B = -3.00i^ + 3.00j^ + 4.00k^

Vector C = 7.00i^ - 7.00j^

Step 1: Calculate the cross product of A and B.

A × B = (3.00i^ + 3.00j^ - 3.00k^) × (-3.00i^ + 3.00j^ + 4.00k^)

The cross product of two vectors can be calculated using the following formula:

A × B = (AyBz - AzBy)i^ + (AzBx - AxBz)j^ + (AxBy - AyBx)k^

Using the given vectors A and B:

A × B = (3.00 * 4.00)i^ + (-3.00 * -3.00)j^ + (3.00 * -3.00 - 3.00 * 3.00)k^

     = 12.00i^ + 9.00j^ - 18.00k^

So, A × B = 12.00i^ + 9.00j^ - 18.00k^

Step 2: Perform the dot product of C and (2A×B).

C ⋅ (2A×B) = (7.00i^ - 7.00j^) ⋅ (2(12.00i^ + 9.00j^ - 18.00k^))

The dot product of two vectors can be calculated by multiplying corresponding components and summing them up:

C ⋅ (2A×B) = 7.00 * 2 * 12.00 + (-7.00) * 2 * 9.00 + 0

          = 168.00 - 126.00 + 0

          = 42.00

Therefore, 3⋅C⋅(2A×B) = 3 * 42.00 = 126.00.

The value of 3⋅C⋅(2A×B) is 126.00.

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Answer:

x + y = 32

x = y + 8

Step-by-step explanation:

Sum of two numbers is 32:

x + y = 32

One number is 8 more than the other:

x = y + 8

Answer:

ahhhhhhhhhhhhhhh im not the person in the pic

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

-7.5 is less than -7 because, as numbers decrease from zero, the larger a negative value is makes the value is worth less because it is furthur away from zero.

Angle-Angle-Side (AAS) Theorem has two sides and a non-included angle.

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1. The two triangles are congruent.

2. The two triangles are not congruent.

3. The two traingles are congruent.

Congruent triangles are triangles having corresponding sides and angles to be equal. For two triangles to be equal, the corresponding angles must be equal and the corresponding sides of the triangles are equal.

1. For the first set of triangles, though the sides are not shown but the corresponding angles are equal, therefore the triangles are congruent.

2. For the second set of triangles, though the angles are equal , the corresponding sides are not equal, this means the triangles are not congruent.

3. For the third set of triangles, The angle are equal and one side is showing that the corresponding sides are also equal.

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Answer:

y = 1/2x + 1.5

Step-by-step explanation:

first find the slope and then put it in y= x+b

you can see that to get from (-1,1) to (1,2) you must go up one and over two

slope is = rise over run --> rise 1 and run 2

the b is were it hit threw the y intercept

It will take 3.65 years for the money invested in the mutual fund to double.

To determine how long it will take for money invested in the mutual fund to double, we can use the concept of the compound interest formula.

The formula for compound interest is given by:

\(A = P(1 + r/n)^{(nt)\)

Where:

A is the final amount (in this case, double the initial investment)

P is the principal amount (initial investment)

r is the annual interest rate (19.02% in this case)

n is the number of times interest is compounded per year (in this case, 1 since it's compounded annually)

t is the time in years

Since we want to find out how long it takes for the investment to double, the final amount A will be 2 times the principal amount P.

\(2P = P(1 + 0.1902/1)^{(1*t)\)

Simplifying this equation, we have:

\(2 = (1.1902)^t\)

Taking the natural logarithm of both sides to solve for t:

ln(2) = t * ln(1.1902)

t = ln(2) / ln(1.1902)

Using a calculator, we find that t is approximately 3.65 years.

Therefore, it will take approximately 3.65 years for the money invested in the mutual fund to double, assuming a consistent average annual return of 19.02% compounded annually.

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Answer:

The answer is C, y = 1/4x - 4

Step-by-step explanation:

First, we have to find the slope of the perpendicular line, and to do so you must take the slope of the given line and opposite reciprocate it.

To do so, you first reciprocate the slope by flipping the numerator and denominator which now makes -4 into -1/4.

Then we have to make it the opposite value, like making a negative into a positive or a positive into a negative. In this case you make -1/4 into a positive 1/4.

We now have the slope of the perpendicular line and can make out answer choices A and B. Which now leaves us with C and D.

The line must go through the point (4, -3). To do that we must adjust the y-intercept until it goes though that point.

We get the y-intercept of -4 and the line that has the y-intercept of -4 and the slope of 1/4 is C.

You answer is C, y = 1/4x - 4.

Answer: 110 degrees

Step-by-step explanation:

30+40=70

180-70=110

Answer:

1024

Step-by-step explanation:

yeah it's 1024 lol

Answer:

4^5 = 1024

Step-by-step explanation:

Write down the # on the left (4) by the # of times on the left (5)

So it would be: 4x4x4x4x4 = ?

You can cut this problem into pieces.

1. 4x4 = 16

2. 4x4 = 16      

3. 16x16 = 256 (use standard multiplication method)

4. 256 x 4 = 1024

I hope this helps:)

Using a calculator, evaluate the natural logarithm and perform the calculations for each midpoint. Then sum up all the values multiplied by 0.5.

To evaluate the Riemann sum for the function f(x) = ln(x) - 0.7 over the interval [1, 5] using eight subintervals with midpoints as the sample points, we can use the midpoint rule. The midpoint rule approximates the area under the curve by evaluating the function at the midpoints of each subinterval and multiplying it by the width of the subinterval.

First, let's calculate the width of each subinterval:

Width of each subinterval = (b - a) / n

= (5 - 1) / 8

= 4 / 8

= 0.5

Next, we calculate the midpoint of each subinterval:

Midpoint of first subinterval = 1 + 0.5/2 = 1.25

Midpoint of second subinterval = 1.5 + 0.5/2 = 1.75

Midpoint of third subinterval = 2 + 0.5/2 = 2.25

...

Midpoint of eighth subinterval = 4.5 + 0.5/2 = 4.75

Now, we evaluate the function at each midpoint and multiply it by the width of the subinterval:

Riemann sum ≈ (0.5) * [f(1.25) + f(1.75) + f(2.25) + ... + f(4.75)]

≈ (0.5) * [ln(1.25) - 0.7 + ln(1.75) - 0.7 + ln(2.25) - 0.7 + ... + ln(4.75) - 0.7]

The result will be the approximate value of the Riemann sum for the given function over the interval [1, 5] using eight subintervals with midpoints as the sample points.

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Any system of geometry that is not based on the principles of Euclidean geometry is known as non-Euclidean geometry.

Many geometrical systems that are not based on the parallel postulate or other Euclidean axioms are referred to as non-Euclidean geometry.

The parallel postulate asserts that given a line and a point off the line, there is only one line that can be drawn through the point parallel to the provided line.

Attempts to establish or refute this postulate gave rise to non-Euclidean geometries. Contrarily, non-Euclidean geometries are founded on diverse axioms that allow for various kinds of parallel lines, including multiple parallel lines in hyperbolic geometry and no parallel lines in elliptic geometry.

Non-Euclidean geometry is important to many fields of mathematics and science, including relativity theory and cosmology.

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Answer:

6 months

Step-by-step explanation:

Gym1

12 + 20m

Gym2

22m

Set them equal

12 +20m = 22m

Subtract 20 m from each side

12 +20m-20m = 22m-20m

12 = 2m

Divide by 2

12/2 = 2m/2

6 =m

Since angle y and angle x form vertical angles, the measure of angle x is equal to 50°.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

Furthermore, the sum of the angles on a straight line is equal to 180. Therefore, we would sum up all of the angles as follows;

60° + 70° + y = 180°

130° + y = 180°

y = 180° - 130°

y = 50°

Since both angle x and angle y are vertical angles, we can logically deduce that they are congruent and as such the magnitude of angle x is equal to 50°.

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The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.

Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.

P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)

= (1/2) x (1/2) x (1/2)

= 1/8

Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.

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Therefore, the number of cookies will Tina have if she has 7 more batches is 378 cookies

Given:

Tina makes a table to use as a quick reference guide:

***Cookies baked (y) is a function of number of batches (x).***

Number of batches(X) ---->  Total number of cookies(Y)

X            Y

5   --->  180

6   --->  198

7   --->  216

8   --->  234

9   --->  252

The Y factor is adding 18 so if you keep adding 18 till you get 16 in the x factor Tina will have 378 cookies.

Therefore, the number of cookies will Tina have if she has 7 more batches is 378 cookies

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Right triangles ABC and DEF are drawn to measure the slope of the line is:

a) run = 2 rise = 3 slope = 3/2

b) run = 6 rise = 9 slope = 9/6 = 3/2

c) Yes, they are similar because the 2 triangles are similar.

Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal.

What is Right triangles?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

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