15. What is one third of 12 3/4?

Answer: height = 1.91 m

Step-by-step explanation: Using the formula

V=πr2h

Solving for h

h=V

πr2=37.5

π·2.52≈1.90986m

Answer:

$132

Step-by-step explanation:

40% off means it is actually 60% of the regular price.

Thus, you will multiply the original (220) by .6 (this means 60 percent)

and you will get 220*.6=132

Answer:

132

Step-by-step explanation:

First, find 40% of 220, which is 88 (220 * 0.4). Since everything was marked down, 40% was taken off the original price. So, 220 - 88 = 132

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:

y=5cosx

Step-by-step explanation:just took the test.

Answer:

The answer would be -2 1/6

Step-by-step explanation:

The arrow goes to the left side because it is negative. -1/3 would be equal to -2/6. -5/6 + -1/6 + -1/6 = -1 1/6. Add the 1 and you get -2 1/6!

Hope this helped ^^

Answer:

60

Step-by-step explanation:

The true statements are: The Chinese Remainder Theorem guarantees a unique solution to any system of modular equations.

Fermat's Little Theorem allows us to conclude that ap^−1≡1(mod p) for any integer a and any prime p.

The first formula given in the question for computing x using CRT is also true.

Statement 3, "If b≥p, then a^b−p+1≡a^b (mod p)", is not necessarily true. Fermat's Little Theorem states that if p is prime and a is not divisible by p, then a^(p-1) ≡ 1 (mod p). However, this does not extend to arbitrary exponents b.

Statement 4, "If b ≡ c (mod p), then a^b≡a^c (mod p)" is true by Fermat's Little Theorem, which implies that a^(p-1) ≡ 1 (mod p), we can write b = kp + c for some integer k, then

a^b = a^(kp+c) = (a^p)^k * a^c ≡ a^c (mod p)

since a^p ≡ a^(p-1) * a ≡ 1 * a ≡ a (mod p) by Fermat's Little Theorem.

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Answer:

The discount was \(47\frac{6}{7}\)%

Step-by-step explanation:

In order to find out the discount will have to do the following.

First find out what part of the origin price was taken of, so we create a fraction with the denominator being the original price and the numerator being the difference between the original price and the discount price. So we do.....

\(\frac{28.00-14.60}{28.00} = \frac{2800 - 1460}{2800} = \frac{1340}{2800} = \frac{67}{140}\)

Now we have to find a fraction with the same value but with the denominator being a 100, so we do.....

\(\frac{67 / 1.4}{140/1.4}= \frac{47\frac{6}{7} }{100}\)

From this we know that the the discount in percentages will be equal to \(47\frac{6}{7}\)%

Answer:

52.1428571429

Step-by-step explanation:

14.60 × 100 = 1460

1460 ÷ 28 = 52.1428571429

Answer:

if I'm right, you are trying to find the area of the parallelogram. if you are trying to find the area, then based on the information provided, you need to add the purple side (9.2 cm) with the grey side (2 cm) which gives you 11.2 cm. then you would multiply this answer by the blue line (7 cm) giving you 78.4 cm. finally, you divide this by 2 giving you 39.2 cm. I'm not sure if this was what you were looking for, but I hope this helps either way.

Step-by-step explanation:

(9.2 + 2) x 7/2

11.2 x 7/2

78.4/2 = 39.2

In a trapezoid, the left and right sides are parallel, and the top and bottom sides are non-parallel. The perimeter of the trapezoid is the sum of the lengths of all its sides. In this case, the length of each side is 4 meters, and the length of the top is 10 meters, while the length of the bottom is 15 meters.

Let's assume that the length of each side of the trapezoid is x meters.

To find the length of the top and bottom of the trapezoid, we can set up the following equations:

Perimeter = Length of Left Side + Length of Right Side + Length of Top + Length of Bottom

33 = x + x + (x + 6) + (x + 11)

Simplifying the equation, we have:

33 = 4x + 17

Subtracting 17 from both sides, we get:

4x = 16

Dividing both sides by 4, we find:

x = 4

Therefore, each side of the trapezoid has a length of 4 meters.

To find the length of the top and bottom, we substitute the value of x back into the equations:

Length of Top = x + 6 = 4 + 6 = 10 meters

Length of Bottom = x + 11 = 4 + 11 = 15 meters

So, the length of the top is 10 meters and the length of the bottom is 15 meters.

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Answer:

≥

..................................................

Answer:

3 and 4

Step-by-step explanation:

Answer

Im cool :d

Step-by-step explanation:

$390 represent 100%. To find what percentage $7.80 represent, we can use the next proportion:

Solving for x,

The sales tax rate is 2%

The inverse of the function is f-1(x) = √1/7(x - 8)

The function is given as

h(x) = 7x^2 + 8

Express h(x) as y

So, we have

y = 7x^2 + 8

Swap the positions of x and y

So, we have

x = 7y^2 + 8

Rewrite as

7y^2 = x - 8

Divide by 7

y^2 = 1/7(x - 8)

Take the square roots

y = √1/7(x - 8)

Hence, the inverse of the function is f-1(x) = √1/7(x - 8)

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Answer:56000

Step-by-step explanation:

Answer:

the answer is 4

2+2=4 bc 1+1 is 2 ×2 and that is 4 your welcome

Answer: y = \(\frac{5}{3}\)x + 14 \(\frac{5}{3}\)

Step-by-step explanation:

      First, we will transform the given equation into slope-intercept form. To do this, we will isolate the y-variable.

             -5x + 3y = 6

             3y = 5x + 6

             y = \(\frac{5}{3}\)x + 2

      A parallel line will have the same slope as the given line. To solve for the y-intercept, we will input the given coordinate point and solve.

             y = \(\frac{5}{3}\)x + b

             (14) = \(\frac{5}{3}\)(-1) + b

             (14) = -\(\frac{5}{3}\) + b

             14 \(\frac{5}{3}\) = b

             y = \(\frac{5}{3}\)x + 14 \(\frac{5}{3}\)

      We can also graph the two lines and the given coordinate point. You can see the equation we wrote goes through the coordinate point (-1, 14) and is parallel to -5x + 3y = 6.

Answer:

  5x -3y = -47

Step-by-step explanation:

You want the equation of the line through point (-1, 14) that is parallel to -5x +3y = 6.

The equation of a parallel line can be found by leaving the x- and y-coefficients alone, and finding the constant that makes the equation be true at the given point. Substituting the point coordinates for x and y, we have ...

  -5(-1) +3(14) = 5 +42 = 47

Making the constant be 47 will give the desired equation:

  -5x +3y = 47

The equation is written in standard form when the leading coefficient is positive:

  5x -3y = -47 . . . . . . multiply the above equation by -1

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Answer:

6 yd

Step-by-step explanation:

72 ÷ 12 = 6

The scale factor using in that dilation of the dashed triangle would be = 3:1

A scale factor is defined as the ratio that exists between an original size of an object and the new formed size of the same object.

The formula that can be used to calculate the scale factor ;

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Using the base of the triangle from the centre of origin in the graph;

The dimension of the new shape = 18

The dimension of the original shape = 6

scale factor = 18/6 =3

That is, the scale factor = 3:1

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The three angles of the triangle are:

Base angle: 38 degrees

Base angle: 38 degrees

Third angle: 104 degrees

We can say that both base angles are x degrees because, based on the information provided, the two base angles have equal measures. Let us denote the measure of each base angle as x.

It is stated that the third angle is 10 degrees less than three times the measurement of a base angle. As a result, (3x - 10) degrees can be used to describe the third angle.

The sum of all three angles in a triangle is always 180 degrees. Using this information, we can create an equation and solve for x: x + x + (3x - 10) = 180 When like terms are combined, we have:

5 times 10 equals 180 by adding 10 to each side of the equation:

Divide both sides by 5 to get 190:

Each base angle is 38 degrees because x = 38. We use the value of x to get the third angle, which is (3x - 10):

3(38) - 10 = 104

Thusly, the three points of the triangle are:

Angle of base: Base angle of 38 degrees: The third angle is 38 degrees: 110 degrees

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To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X_0 = [0.1 0.2 0.7]

To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:

X_1 = P * X_0

To calculate X_2, we multiply P with X_1:

X_2 = P * X_1

Similarly, to calculate X_3, we multiply P with X_2:

X_3 = P * X_2

Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.

Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.

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To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X₀ = [0.1

0.2

0.7]

To find X₁, we multiply P with X₀:

X₁ = P * X₀

To find X₂, we multiply P with X₁:

X₂ = P * X₁ = P * (P * X₀)

To find X₃, we multiply P with X₂:

X₃ = P * X₂ = P * (P * (P * X₀))

Performing the matrix multiplications, we get:

X₁ = [0.6 0.2 0.1] * [0.1

0.2

0.7] = [0.06 + 0.04 + 0.07

0.03 + 0.14 + 0.07

0.01 + 0.02 + 0.56]

X₁ = [0.17

0.24

0.59]

X₂ = [0.6 0.2 0.1] * [0.17

0.24

0.59] = [0.048 + 0.048 + 0.059

0.023 + 0.168 + 0.059

0.007 + 0.048 + 0.472]

X₂ = [0.155

0.25

0.527]

X₃ = [0.6 0.2 0.1] * [0.155

0.25

0.527] = [0.042 + 0.031 + 0.053

0.021 + 0.175 + 0.053

0.006 + 0.05 + 0.422]

X₃ = [0.126

0.249

0.478]

Therefore, the state matrices are:

X₁ = [0.17

0.24

0.59]

X₂ = [0.155

0.25

0.527]

X₃ = [0.126

0.249

0.478]

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Answer:

43cm²

Step-by-step explanation:

let's first consider the area of a square.

the area is L² which means all sides are equal so we take the length times the breadth which is both equal because like we said all sides are equal.

so to find the side of the square using the area, we take the square root of both of the area.

\( \sqrt{25} = 5\)

and also

\( \sqrt{18} = 4.2\)

so we have the height of the triangle as 5cm and the base is 4.2cm.

now, from the triangle, since we have two sides and it's a right-angled, we can use Pythagoras' formula.

\( \sqrt{ {5}^{2} + {4.2}^{2} } = 6.53cm\)

so the side 6.53cm is also the same side as the largest triangle. Since it's a square, all sides are equal. So we find the area of the largest triangle by using the formula

Area = L²

Area = 6.53²

Area = 42.6cm

the nearest cm square

Area = 43cm²

Check the picture below.

Answer:

Yes I do the formula is y=mx+b This means the answer is B

Step-by-step explanation:

You can ignore this if you already know the parts of the equation but here is it broken down. the X and Y in the slope intercept equation are left blank if you are given the slope and y-intercept like you were in this problem. The M in th equation stands for the slope which is 1/2 in this problem. B stands for the Y-intercept which just means where is the line crossing the y-axis when x is zero. I hope this helps you.

The solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

To fathom the given differential equation, xy'' + y' = 0, we will begin by expecting a control arrangement of the frame y = ∑(n=0 to ∞) a_nx^n, where a_n speaks to the coefficients to be decided.

Separating y with regard to x, we get:

\(y' = ∑(n=0 to ∞) a_n(nx^[(n-1))] = ∑(n=0 to ∞) na_nx^[(n-1)]\)

Separating y' with regard to x, we get:

\(y'' = ∑(n=0 to ∞) n(n-1)a_nx^[(n-2)]\)

Presently, we substitute these expressions for y and its subsidiaries into the differential condition:

\(x(∑(n=0 to ∞) n(n-1)a_nx^[(n-2))] + (∑(n=0 to ∞) na_nx^[(n-1))] =\)

After improving terms, we have:

\(∑(n=0 to ∞) n(n-1)a_nx^[(n-1)] + ∑(n=0 to ∞) na_nx^[n] =\)

Another, we compare the coefficients of like powers of x to zero, coming about in a boundless arrangement of conditions:

For n = 0: + a_0 = (condition 1)

For n = 1: + a_1 = (condition 2)

For n ≥ 2: n(n-1)a_n + na_n = (condition 3)

Disentangling condition 3, we have:

\(n^[2a]_n - n(a_n) =\)

n(n-1)a_n - na_n =

n(n-1 - 1)a_n =

(n(n-2)a_n) =

From equation 1, a_0 = 0, and from equation 2, a_1 = 0.

For n ≥ 2, we have two conceivable outcomes:

n(n-2) = 0, which gives n = or n = 2.

a_n = (minor arrangement)

So, the solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

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Answer:

he forgot to solve the -6  i hope thats right im srry if it isnt

Step-by-step explanation:

Answer:

-1=x

Step-by-step explanation:

They messed up on step 4. instead of -2x it should be -10x. When they switched -6 over to the opposite side they forgot to use the opposite symbol. They did 6-4 instead of 4+6.

Claire experiences apprehension and fear during the anticipatory socialization phase of socialization when her boss proposes putting her on a task force at work, due to her negative group experiences in college.

Anticipatory socialization is the phase in the socialization process where individuals anticipate and prepare for their future roles and experiences in a particular social group or setting.

It involves forming expectations, attitudes, and behaviors based on past experiences and knowledge.

In Claire's case, her negative group experiences in college, where she often ended up doing most of the work and faced poor communication within the group, have shaped her expectations and attitudes towards group work.

As a result, when her boss proposes putting her on a task force at work, Claire immediately feels apprehensive and fearful.

She anticipates that she may face similar challenges, such as an uneven distribution of workload and ineffective communication, which could negatively impact her experience in the task force.

During the anticipatory socialization phase, individuals rely on their past experiences and perceptions to anticipate what they may encounter in a new social setting.

Claire's negative group experiences in college have influenced her apprehension and fear, as she expects the same difficulties to arise in the task force at work.

These emotions and concerns may impact her willingness to fully engage in the new group and could influence her interactions and behavior within the task force.

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Answer:

15

----

153

15=6+3+1

153=18×17÷2

The time-mean speed for the traffic stream that passes an observer standing at a point on a three-lane race track can be determined by collecting spot speed data for all vehicles that pass your observation point in one hour and calculating the average of all the spot speeds collected.

The time-mean speed is a statistical measure used in traffic engineering to quantify the typical speed of vehicles on a given roadway segment. It is defined as the average speed of all the vehicles passing a specific point on the road over a specified period of time. The time-mean speed is typically calculated by taking the average of all the spot speeds collected for a given time period (e.g., one hour).

In the given scenario, the observer is standing at a point on a three-lane race track, where vehicles in lane 1 are traveling at 40 mi/h, vehicles in lane 2 are traveling at 50 mi/h, and vehicles in lane 3 are traveling at 70 mi/h. The constant spacing between each vehicle is 0.5 miles. If the observer collects spot speed data for all the vehicles that pass their observation point in one hour, the time-mean speed for the traffic stream can be calculated by taking the average of all the spot speeds collected. This calculation can be done using the following formula: Time-mean speed = (total distance traveled by all vehicles passing the observer) / (total time taken by all vehicles passing the observer)Assuming that all the vehicles maintain their speeds and the spacing between them is constant, the total distance traveled by all vehicles in one hour can be calculated as follows: Total distance traveled = (40 mi/h x 0.5 mi) + (50 mi/h x 0.5 mi) + (70 mi/h x 0.5 mi) x (number of vehicles passing the observer in one hour)The total time taken by all vehicles passing the observer can be calculated as follows: Total time taken = (0.5 mi) / (40 mi/h) + (0.5 mi) / (50 mi/h) + (0.5 mi) / (70 mi/h) x (number of vehicles passing the observer in one hour)

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