5 A measure of the outcome of a decision such as profit, cost, or time is known as a O payoff forecasting index O branch O regret 6 Chance nodes are nodes indicating points where a decision is made no

Answer:

b,c,e,d,a,f

Step-by-step explanation:

The slope formula is:

\(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

Let:

\((x_{1} , y_{1}) = (5 , 7)\\(x_{2} , y_{2}) = (3 , 4)\)

Plug in the corresponding numbers to the corresponding variables:

\(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{(4) - (7)}{(3) - (5)} = \frac{-3}{-2} = \frac{3}{2}\)

Your slope is:

\(m = \frac{3}{2}\)

Answer:

m= 3/2

Step-by-step explanation:

Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).

The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.

To calculate the X-coordinate of the center of gravity, we use the formula:

Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)

Similarly, for the Y-coordinate:

Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)

Substituting the given values:

Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92

Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08

Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.

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Answer:

P = 37.4 m

Step-by-step explanation:

let the third side of the triangle be x

using Pythagoras' identity in the right triangle.

x² + 7² = 16²

x² + 49 = 256 ( subtract 49 from both sides )

x² = 207 ( take square root of both sides )

x = \(\sqrt{207}\) ≈ 14.4 m ( to 1 decimal place )

the perimeter (P) is then the sum of the 3 sides

P = 7 + 16 + 14.4 = 37.4 m

Answer:

X = 125° and Y = 75°

Step-by-step explanation:

Y = 75° because the line the bisects two parallel lines. When this happens, the angles at the corners are identical.

To find the value of "X", I first found the value of the last angle in the triangle. I found this by performing the following:

180° - 55° - 75° = 55°

The value of this missing angle is 55°. To find "X", I subtracted this value from 180°. I did this because lines always equal 180°

180° - 55° = 125°

The ratio is the comparison of one thing with another. Brian irons \(\dfrac{1}{36}\) of his shirt each minute.

To find out how much of his shirt Brian irons each minute, we can divide the portion he irons \(\dfrac{1}{8}\) of his shirt) by the time taken \(4\dfrac{ 1}{2}\) minutes.

First, let's convert \(4 \dfrac{1}{2}\) minutes to an improper fraction:

\(4\dfrac{1}{2} = \dfrac{9}{2}\ minutes\)

Now, we can calculate the amount he irons per minute:

Amount ironed per minute = (\(\dfrac{1}{8}\)) ÷ (\(\dfrac{9}{2}\))

To divide fractions, we multiply by the reciprocal of the divisor:

Amount ironed per minute = (\(\dfrac{1}{8}\)) x  (\(\dfrac{2}{9}\))

Now, multiply the numerators and denominators:

Amount ironed per minute =\(\dfrac{(1 \times 2)} { (8 \times 9)} = \dfrac{2 }{72}\)

The fraction \(\dfrac{2}{72}\) can be reduced to the lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2:

Amount ironed per minute =\(\dfrac{ 1} { 36}\)

So, Brian irons 1/36 of his shirt each minute.

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Answer:

ellipse? x = â’4. 25 and x = 8. 25 x = â’3. 25 and x = 9. 25 y = â’4. 25 and y = 8. 25 y = â’3. 25 and y = 9. 25.

Answer:

The solution of the equation 4x + 2y = 6 and x − y = 3 will be D. (2, –1)

Step-by-step explanation:

4x + 2y = 6 ....… (1)

x − y = 3 …..... (2)

Example, for equation 2 is:

x - y = 3

x = 3 + y

Put in equation 1:

4(y + 3) + 2y = 6

4y + 12 + 2y = 6

6y = -6

y = -6/6

y = -1

We have the value of y, then the value of x will be:

x = 3 + y

= 3 + (-1)

= 3 - 1

= 2

So, the solution of the equation 4x + 2y = 6 and x − y = 3 will be (2, –1)

Answer:

A

Step-by-step explanation:

4, 5, 6, 7

----------->

7 - 4 = 3

Answer:

I think it is B correct me if I am wrong

Step-by-step explanation:

Answer:

  111 girls

Step-by-step explanation:

You have 924 people classified as 383 men, 356 women, and the remainder children. 2/5 of the children are boys, and you want to know the number of girls.

The number of children is ...

  924 -383 -356 = 185

The 3/5 of children that are not boys are girls, so ...

  girls = 3/5(185) = 111

There are 111 girls in the theater.

To solve the problem we must know about the equation of a circle and complex numbers.

Radius² = (Distance between the center and any point on the circle)²

Radius = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Complex Number, z = (x +iy)

Another point that will lay on the same circle is (12 + 10i).

Given to us

Solution

We know that equation for a circle can be written as,

Radius of the Circle

= √(Distance between the center and any point on the circle)²

Radius of the Circle = √[4-19]²+[-5 -(-13)]²

                                 = √[-15]²+[8]²

                                 = √225 + 64

                                 = √225 + 64

                                 = √289

                                 = 17

Now compare the distance between the center of the circle and the points.

A.)  –11 –3i

Distance between the center and point on the circle

= √[4-(-11)]² + [-5 - (-3)]²

= √[15]² + [-2]²

= √225 + 4

= √229

B.)  –4. 5+3. 5i

Distance between the center and point on the circle

= √[4-(-4.5)]² + [-5 - (3.5)]²

= √[9.5]² + [-8.5]²

= √90.25+ 72.25

= √162.5

C.)  12 + 10i

Distance between the center and point on the circle

= √[4-(12)]² + [-5 - (10)]²

= √[-8]² + [-15]²

= √64+ 225

= √289

= 17

D.)  21 + 12i.

Distance between the center and point on the circle

= √[4-(21)]² + [-5 - (12)]²

= √[17]² + [-17i]²

= √289+ 289

= √578

Hence, another point that will lay on the same circle is (12 + 10i).

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Answer:

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable.

a. The length of the curve is approximately 22.92.

b. The length of the curve is approximately 28.28.

c. The length of the curve is 169.

d. The length of the curve is approximately 13.14.

e. The length of the curve is approximately 405.64.

a. To find the length of a curve defined by a vector function, we can use the formula for arc length. For a curve →r(t) = 〈f(t), g(t), h(t)〉, the arc length formula is given by:

L = ∫√(f'(t)² + g'(t)² + h'(t)²) dt

We will use this formula to find the lengths of the given curves.

For the curve →r(t) = 〈cos(t), sin(t), 5t〉, -2 ≤ t ≤ 3:

To find the length, we need to evaluate the integral:

L = ∫₋₂³ √((-sin(t))² + (cos(t))² + (5)²) dt

= ∫₋₂³ √(1 + 25) dt

= ∫₋₂³ √26 dt

= √26 ∫₋₂³ dt

= √26 [t]₋₂³

= √26 [3 - (-2)]

= √26 * 5

≈ 22.92

Therefore, the length of the curve is approximately 22.92.

b. For the curve →r(t) = 〈2cos(4t), 2sin(4t), 4t〉, -7 ≤ t ≤ 3:

Similarly, we have:

L = ∫₋₇³ √(((-8sin(4t))² + (8cos(4t))² + (4)²) dt

= ∫₋₇³ √(64(sin²(4t) + cos²(4t)) + 16) dt

= ∫₋₇³ √(64 + 16) dt

= ∫₋₇³ √80 dt

= √80 ∫₋₇³ dt

= √80 [t]₋₇³

= √80 [3 - (-7)]

= √80 * 10

≈ 28.28

The length of the curve is approximately 28.28.

c. For the curve →r(t) = 〈3cos(4t), 3sin(4t), 5t〉, -3 ≤ t ≤ 10:

Using the same approach:

L = ∫₋₃¹⁰ √(((-12sin(4t))² + (12cos(4t))² + (5)²) dt

= ∫₋₃¹⁰ √(144(sin²(4t) + cos²(4t)) + 25) dt

= ∫₋₃¹⁰ √(144 + 25) dt

= ∫₋₃¹⁰ √169 dt

= √169 ∫₋₃¹⁰ dt

= √169 [t]₋₃¹⁰

= √169 [10 - (-3)]

= √169 * 13

= 13 * 13

= 169

The length of the curve is 169.

d. For the curve →r(t) = 〈cos(3t), sin(3t), t〉, -7 ≤ t ≤ 10:

Using the same approach:

L = ∫₋₇¹⁰ √(((-3sin(3t))² + (3cos(3t))² + (1)²) dt

= ∫₋₇¹⁰ √(9(sin²(3t) + cos²(3t)) + 1) dt

= ∫₋₇¹⁰ √(9 + 1) dt

= ∫₋₇¹⁰ √10 dt

= √10 ∫₋₇¹⁰ dt

= √10 [t]₋₇¹⁰

= √10 [10 - (-7)]

= √10 * 17

≈ 13.14

The length of the curve is approximately 13.14.

e. For the curve ¯r(t) = 〈9ln(t), t², 6t〉, 1 ≤ t ≤ 6:

Using the same approach:

L = ∫₁⁶ √((9/t)² + (2t)² + 6²) dt

= ∫₁⁶ √(81/t² + 4t² + 36) dt

= ∫₁⁶ √(81 + 4t⁴ + 36t²) dt

= ∫₁⁶ √(4t⁴ + 36t² + 81) dt

= ∫₁⁶ (2t² + 9) dt

= [2/3t³ + 9t]₁⁶

= (2/3(6)³ + 9(6)) - (2/3(1)³ + 9(1))

= (2/3(216) + 54) - (2/3 + 9)

≈ 405.64

The length of the curve is approximately 405.64.

Please note that these lengths are approximate values

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Answer:

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor .

Step-by-step explanation:

Hi, I'm happy to help!

First, we need to use two variables. Let's use x and y for this example.

Let's use a Multiplication and Addition operation for our word problem.

Our expression can be something like this.

3x+y

Now, we form this into a word problem.

Joe and Jim are cousins. They are trying to see who can find the most apples. Joe picks x apples. Jim picks 3 times as many as Joe, and picks y extra. How many apples did Jim pick? Write and solve an expression representing the situation. x=10 and y=3

Here's how you would solve:

3x+y

(3×10)+3

30+3

33

Joe picked 33 apples.

I hope this was helpful, keep learning! :D

Answer:

Median: 75

Mode: 50

Mean: ≈ 75.4

Range: 50

Step-by-step explanation:

Arrange the numbers in order:

50, 50, 70, 80, 88, 90, 100

There is no exact middle number.

\(70 + 80 = 150\\150/2 = 75\)

The median is about 75.

50, 50, 70, 80, 88, 90, 100

"50" appears the most.

The mode is 50.

Add all numbers in the set.

\(100+88+50+50+90+70+80 = 528\)

Divide by the number of values in the set.

\(528/7 = 75.4285714286\)

75.4285714286 ≈ 75.4

The mean is about 75.4.

Subtract the smallest number in the data set from the largest number in the data set.

\(100-50=50\)

The range is 50.

Brainilest appreciated.

The cost of the holiday after the discount has been applied is £1440.

Discount is a reduction in the regular price of a product or service. It is often given when a customer buys multiple items or spends a certain amount of money. Discounts are a common way for businesses to increase sales by incentivizing customers to buy more. Discounts can be a percentage of the regular price, a fixed amount, or a free gift with purchase. Discounts can be applied to items already on sale or can be applied to the full price of an item.

The customers will receive a 20% discount on the cost of the holiday, which is 20% of £1800, which is £360.
Therefore, the cost of the holiday after the discount has been applied is £1800 - £360 = £1440.

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Answer:

11.97 m

Step-by-step explanation:

The height of radio antenna can be obtained using the trigonometric function:

Tan θ = opposite / Adjacent

θ = 14° ; opposite = h ; adjacent = 48m

Tan 14= h / 48

0.2493280 = h / 48

h = 0.2493280 * 48

Height, h of tower is : 11.9677 = 11.97 m

Answer:

If r = 5, then:

(-5) - (-5) + (5) - (5) = 0

Always remember order of operations (PEMDAS)

Hope this helps :)

Answer:

1/x-1

Step-by-step explanation:

Answer: (3, 7)

Step-by-step explanation: The pattern seems to be dividing each axis by 2, so 6/2 = 3 and 14/2 = 7, making (3, 7)

Have a nice day! :)

Answer: First, we need to convert 0.4 mile to feet by multiplying it by 5,280:

0.4 mile * 5,280 feet/mile = 2,112 feet

Next, we can use the formula for the circumference of a circle, C = 2πr, where C is the circumference and r is the radius.

We know that the distance around the circular track is 2,112 feet, so we can set up the equation:

2πr = 2,112

Simplifying the equation, we can divide both sides by 2π:

r = 2,112 / (2π)

Using π = 3.14 and rounding to the nearest hundredth, we get:

r ≈ 336.31 feet

Therefore, the radius of the track is approximately 336.31 feet.

Answer: 336.31 feet

Answer:-15

Step-by-step explanation:

Answer:

umm... thirteen....

13

To find out the original translation let's undo the transformations given.

First we need to undo the reflection across the x-axis. A reflection across the x-axis is:

Then, if we undo it we have:

Now, a translation is given by:

Then, the original translation will be of the form:

Then we have the equations:

Solving them we have that a=3 and b=-5.

This means that the translation is a shift of 3 units to the right and 5 units down. Therefore the answer is C.

We can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center).

To answer this question, we need to use the equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

Where h and k represent the coordinates of the center of the circle, and r represents the radius. In this case, we are given that the circle has center (h, k) and radius 10. So we can write:

(x - h)^2 + (y - k)^2 = 10^2

We are asked to find the value of k. To do this, we need to look at the equation of the circle and notice that the y-coordinate is paired with k. This means that we can isolate k by rearranging the equation as follows:

(y - k)^2 = 10^2 - (x - h)^2

y - k = ±√(10^2 - (x - h)^2)

k = y ±√(10^2 - (x - h)^2)

Since we don't have any information about the x-coordinate, we can't solve for a specific value of k. However, we can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center). Therefore, the answer is:

k = y

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Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.75x+3=6(x−3)

0.75x+3=(6)(x)+(6)(−3)(Distribute)

0.75x+3=6x+−18

0.75x+3=6x−18

Step 2: Subtract 6x from both sides.

0.75x+3−6x=6x−18−6x

−5.25x+3=−18

Step 3: Subtract 3 from both sides.

−5.25x+3−3=−18−3

−5.25x=−21

Step 4: Divide both sides by -5.25.

−5.25x/-5.25    =    -21/-5.25

Answer: x=4

The value of x from the given equation is 4.

The given equation is 0.75x + 3 = 6 (x - 3).

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solve for x as follows:

0.75x + 3 = 6x - 18

⇒ 6x-0.75x = 3+18

⇒ 5.25x=21

⇒ x=21/5.25

⇒ x=4

Therefore, the value of x from the given equation is 4.

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Answer:

Step-by-step explanation:

Sophia asked 50 people which drinks they liked from tea, coffee and milk.

all 50 people like at least one of the drinks.

19 people like all three drinks.

16 people like tea and coffee but do not like milk.

21 people like coffee and milk.

24 people like tea and milk.

40 people like coffee.

1 person likes only milk.

sophia selects at random one of the 50 people.

work out the probability that this person likes tea.