HELP IM ON A TIME LIMIT AND IDK THE ANSWER

The area of the triangle QRS is: 140 sq.units

The area of the triangle by box method is:

Area of triangle = Area of box rectangle - Area of 3 triangles

Thus:

Area of box rectangle = 15 * 20 = 300 sq.units

Area of small triangle 1 = ¹/₂ * 4 * 20

= 40 sq.units

Area of small triangle 2 = ¹/₂ * 11 * 15

= 82.5 sq.units

Area of small triangle 3 =  ¹/₂ * 5 * 15

= 37.5 sq.units

Thus:

Area of shaded triangle = 300 - (40 + 82.5 + 37.5)

= 140 sq.units

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Answer:

95.49°

Step-by-step explanation:

The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians.  Here, r = 9 ft and s = 15 ft.  Thus, the central angle Ф is

Ф = (15 ft) / (9 ft) = 5/3 radians, or

5 rad       180°

------- * ---------- = 95.49°

      3       π rad

1. The mode(s) for the given sample data are: 9, 8. (Largest mode: 9)

2. To find the standard deviation of the weights of the dogs, we first calculate the mean (average) of the data. Then, for each weight, we subtract the mean, square the result, and sum up all the squared differences. Next, we divide the sum by the number of data points. Finally, we take the square root of this value to obtain the standard deviation. Here are the calculations:

Weights: 96, 78, 98, 37, 29, 39

Mean = (96 + 78 + 98 + 37 + 29 + 39) / 6 = 67

Squared differences: (96 - 67)^2, (78 - 67)^2, (98 - 67)^2, (37 - 67)^2, (29 - 67)^2, (39 - 67)^2

Sum of squared differences = 3228

Variance = Sum of squared differences / 6 = 538

Standard deviation = √538 ≈ 23.2

Therefore, the standard deviation of the weights of the dogs is approximately 23.2 pounds.

3. To find the standard deviation of the commissions earned by the local Tupperware dealers, we can use a similar process as in the previous question. Here are the calculations:

Commissions: 383.93, 353.63, 110.08, 379.82, 426.51, 330.07, 496.01, 151.41, 130.71, 254.19, 395.45, 383.75

Mean = (383.93 + 353.63 + 110.08 + 379.82 + 426.51 + 330.07 + 496.01 + 151.41 + 130.71 + 254.19 + 395.45 + 383.75) / 12 ≈ 311.25

Squared differences: (383.93 - 311.25)^2, (353.63 - 311.25)^2, (110.08 - 311.25)^2, (379.82 - 311.25)^2, (426.51 - 311.25)^2, (330.07 - 311.25)^2, (496.01 - 311.25)^2, (151.41 - 311.25)^2, (130.71 - 311.25)^2, (254.19 - 311.25)^2, (395.45 - 311.25)^2, (383.75 - 311.25)^2

Sum of squared differences = 278424.35

Variance = Sum of squared differences / 12 ≈ 23202.03

Standard deviation ≈ √23202.03 ≈ 152.19

Therefore, the standard deviation of the commissions earned by the local Tupperware dealers is approximately $152.19.

the mode(s) for the apple weights are 9 and 8 (with 9 being the largest mode). The standard deviation of the dog weights is approximately 23.2 pounds, while the standard deviation of the commissions earned by the Tupperware dealers is approximately $152.19.

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the answer is A 47

Step-by-step explanation:

48+24÷8-2²

48+3-2²

48+3-4

=47

hope it helps!

The gradient, evaluated at the starting point is x = -4 cos(x) cos(V2/2y)

y = -4 sin(x) sin(V2/2y)

We have the function: \(f(x,y) = 3 + x^2/8 + y^2/8 - sin(x) cos(V2/2y)\)

To find a minimum of this function, we need to find where the gradient of the function is equal to zero. The gradient of f is a vector of partial derivatives:

\(∇f(x,y) = [∂f/∂x, ∂f/∂y]\)

Taking the partial derivative of f with respect to x, we get:

\(∂f/∂x = x/4 - cos(x) cos(V2/2y) V2/4y\)

Taking the partial derivative of f with respect to y, we get:

\(∂f/∂y = y/4 + sin(x) sin(V2/2y) V2/4y^2\)

Therefore, the gradient of f is:

\(∇f(x,y) = [x/4 - cos(x) cos(V2/2y) V2/4y, y/4 + sin(x) sin(V2/2y) V2/4y^2]\)

Now, we need to evaluate the gradient at the starting point x0 = [phi/3, phi/2V2]. Substituting these values into the gradient, we get:

\(∇f(phi/3, phi/2V2) = [phi/12 - cos(phi/3) cos(1/2), phi/8 + sin(phi/3) sin(1/2)]\)

To find the minimum, we need to set the gradient equal to zero:

∇f(x,y) = [0,0]

Solving for x and y, we get:

x = -4 cos(x) cos(V2/2y)

y = -4 sin(x) sin(V2/2y)

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Answer: 3

Step-by-step explanation: got it right on edge

Answer:

3

Step-by-step explanation:

edge 2020

Answer:

5 packages of biscuits and 9 packages of bread.  

Step-by-step explanation:

18x5 = 90, and 9 x 10 = 90. If we use the least common denominator, then it would look like this:

18, 36, 54, 72, 90, 108, 126, 144, 162, 180

10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

Out of the two multiplication lines, the one common part about it would be 90, which is 5 away from the start for 18, and 9 away from the start for 10.

hope it helped

Answer:

5 packs of biscuits

9 packs of bread

Step-by-step explanation:

To find out how many of each one, you have to find their least common multiple:

18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180

10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

18*5 = 90

5 packs of biscuits

10*9 = 90

9 packs of bread

The expected value of the winnings from this game is $3.24.

To find the expected value of the winnings, we multiply each payout by its corresponding probability and then sum up the results. Let's calculate it step by step:

Payout ($) Probability Payout x Probability

2 0.64 1.28

4 0.18 0.72

6 0.12 0.72

8 0.04 0.32

10 0.02 0.20

Now, let's sum up the values in the "Payout x Probability" column:

1.28 + 0.72 + 0.72 + 0.32 + 0.20 = 3.24

Therefore, the expected value of the winnings from this game is $3.24.

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Answer: The arclength of the curve is approximately 5.664 + ln(2), which is closest to option E (5+In 2).

Step-by-step explanation:

To get the arclength of the curve, we need to integrate the magnitude of its derivative over the interval of interest.

In this case, the curve is given by: F(t) = (t^2)i + (2t + ln(t))j + (ln(t))k.

So, the derivative of F(t) with respect to t is: F'(t) = 2ti + (2 + 1/t)j + (1/t)k and the magnitude of F'(t) is:|

F'(t)| = sqrt((2t)^2 + (2 + 1/t)^2 + (1/t)^2) = sqrt(4t^2 + 4t + 1/t^2 + 4/t + 1).

To get the arclength of the curve from t=1 to t=e^2, we need to integrate |F'(t)| over this interval: integral from 1 to e^2 of |F'(t)| dt = integral from 1 to e^2 of sqrt(4t^2 + 4t + 1/t^2 + 4/t + 1) dt.

This integral is difficult to evaluate analytically, so we can use numerical methods to approximate the value. Using a numerical integration tool, we get:integral from 1 to e^2 of |F'(t)| dt ≈ 5.664.

Therefore, the arclength of the curve is approximately 5.664 + ln(2), which is closest to option E (5+In 2).

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Answer:

\(5(a-4)\)

Step-by-step explanation:

\(\frac{(5a^{2} -25a+20)}{ (a-1)}\\=\frac{5(a^{2} -5a+4)}{ (a-1)}\\\\=\frac{5(a-1)(a-4)}{ (a-1)}\\=5(a-4)\)

Step-by-step explanation:

y-15=x^2+10x

y-15+25=x^2+10x+25

y+10=(x+5)^2

Answer: 1,000,000,000

The conversion of decimal number directly to binary number will be faster.

The number conversion deals with the operation to change the base of the number.

Binary number - It contains only 2 numbers that are 1 and 0.

Decimal number - It contains 10 numbers that are from 0 to 9.

Hexadecimal number - It contains 16 numbers that are from 0 to F.

Convert the decimal number 431 to binary will be

431 / 2 = 215 with 1 remainder

215 / 2 = 107 with 1 remainder

107 / 2 = 53 with 1 remainder

53 / 2 = 26 with 1 remainder

26 / 2 = 13 with 0 remainder

13 / 2 = 6 with 1 remainder

6 / 2 = 3 with 0 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

The decimal number 431 to binary number will be 110101111.

Convert first to hexadecimal and then from hexadecimal to binary. Then we have

(431)₁₀ = (1AF)₁₆ = (110101111)₂

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Answer:

(3x−y)(x+7y)

Step-by-step explanation:

Factor (2x+3y)^2−(x−4y)^2

3x^2+20xy−7y^2

=(3x−y)(x+7y)

Answer:

(3x - y)(x + 7y)

Step-by-step explanation:

Given

(2x + 3y)² - (x - 4y)² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Here a = 2x + 3y and b = x - 4y , then

(2x + 3y + x - 4y)(2x + 3y - (x - 4y))

= (3x - y)(2x + 3y - x + 4y) = (3x - y)(x + 7y)

Thus

(2x + 3y)² - (x - 4y)² = (3x - y)(x + 7y) ← in factored form

Answer: 6.

Step-by-step explanation:

Since it starts with 2 kilometers in 3 minutes add 3 more minutes that would but six then double the kilometers to 4 then add another 3 minutes which would but 9 where it stops and add another 2 in the kilometers then i would be 6 .

step by step:

1. 3 minutes and 2 km

2. add 3 more (6) and double the kilometers 2 times(4)

3. add 3 more (9) and add another 2 to the km (9)

The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function \(y(t)=e^t\)  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

\(y_1(t) = e^t\)

Given differential equations are,

y''-y = 0

 So that,  

\(y' (t) = e^t, y'' (t) = e^t\)

Substitute values in the given differential equation.

\(e^t -e^t=0\)

Therefore, the function \(y(t)=e^t\)  is the solution of the given differential equation.

Another function;

\(y(t)=cosht\)  

So that,  

\(y"(t)=sinht\\\\y"(t)=cosht\)

Hence, function y(t)=cosht is solution of given differential equation.

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The continuous random variables in the given options are the distance between two boats on the freeway and the height of a skyscraper in New York City.

A continuous random variable can take on any value within a given range, typically involving measurements or quantities. In the given options, the distance between two boats on the freeway and the height of a skyscraper in New York City are examples of continuous random variables.

The distance between two boats on the freeway can have a range of values, such as 50 meters, 100 meters, or any other value in between. It is a continuous variable because it can be measured at any point along the range.

Similarly, the height of a skyscraper in New York City can have an infinite number of possible values within a certain range. It can be measured in meters or feet, and any precise measurement within that range is possible. Therefore, it is also considered a continuous random variable.

On the other hand, the number of newborn babies delivered in a hospital on a certain day and the number of movies watched by a person in one year are examples of discrete random variables. These variables can only take on whole number values and cannot have fractional or continuous values.

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Adam solved 12 math problems in 42 mins if he continues at this pace how many minutes will it take him to solve 20 math problems:  x=70 times.

In light of the given circumstances,

plan: 12÷42= 20÷x

Assuming the division is characterized, the denominator can't approach 0: x ≠ 0

Affix the imbalance as the space: 12/42 = 20/x, x ≠ 0

Decrease the division: 2/7 = 20/x , x ≠ 0

Increase the two sides of the situation by the shared factor: 2 * 7x/7 = 20 * 7x/x, x ≠ 0

Diminish the part: 2x=20×7,x ≠ 0

Compute the item or remainder: 2x=140, x ≠ 0

Partition the two sides of the situation by the coefficient of the variable: x=140÷2, x ≠ 0

Work out the item or remainder: x=70, x ≠ 0

Track down the crossing point: x=70

obtain the outcome: x=70

Reply: x=70

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Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

The set {P1, P2, P3Pa} is linearly independent. Basis B for H is B = {P1, P2, P3Pa} = {1–3t+2-4tº, 2–1+4tº, -4–31°+71'}.The set {P»P2, P3, Pa} does span P and p(t) = (-5/3)P1(t) + 0P2(t) + (-5/3)P3Pa(t) is the representation of p(t) with respect to the basis B.

a. The set {P1, P2, P3Pa} is linearly independent.

b. Basis B for H is B = {P1, P2, P3Pa} = {1–3t+2-4tº, 2–1+4tº, -4–31°+71'}.

c. The set {P»P2, P3, Pa} does span P.

d. To check if p(t) = -5t-8t° is in H, we express p(t) as a linear combination of the basis elements:

p(t) = a1P1(t) + a2P2(t) + a3P3Pa(t)

Substituting the values of p(t) and the basis elements:

-5t-8t° = a1(1–3t+2-4tº) + a2(2–1+4tº) + a3(-4–31°+71')

Expanding and rearranging terms:

-5t-8t° = a1 - 3a1t + 2a1tº + a2 + 4a2tº - a3 - 31a3° + 71a3'

Matching the coefficients of each term on both sides:

-5t = -3a1t + 4a2tº

-8t° = 2a1tº - 31a3°

0 = a1 + a2 - a3

Solving this system of equations, we find a1 = -5/3, a2 = 0, and a3 = -5/3.

Therefore, p(t) = (-5/3)P1(t) + 0P2(t) + (-5/3)P3Pa(t) is the representation of p(t) with respect to the basis B.

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january- $2.00

Feb 4.00

March 8.00

Apr 16.00

may 32.00

jun 64.00

jul 128.00

she ends up with $128

:)

So, Mr. Singer will need approximately 29.4 square feet area of cloth to cover his dining table with the rectangular pieces added along each side.

To find the total area of the cloth, we need to find the area of the regular hexagon and the six rectangular pieces added along each side.

The formula for the area of a regular hexagon with side length s is:

A_hex = 3√3/2 * s^2

Substituting s = 2 feet (given in the diagram), we get:

A_hex = 3√3/2 * (2 feet)^2 = 6√3 square feet

The rectangular pieces along each side will have a width of 2 feet (same as the side length of the hexagon) and a length of 1.5 feet (given in the diagram). So, the area of each rectangular piece is:

A_rect = length * width = 1.5 feet * 2 feet = 3 square feet

Since there are six rectangular pieces, the total area of the rectangular pieces is:

A_total_rect = 6 * A_rect = 6 * 3 square feet = 18 square feet

Therefore, the total area of the cloth Mr. Singer will need is:

A_total = A_hex + A_total_rect = 6√3 square feet + 18 square feet ≈ 29.4 square feet

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Answer:

A. Inside the circle

Step-by-step explanation:

K(0, 0), U (6, - 4), V (\( \sqrt 2,\: 7)\)

In order to determine whether point V lie inside, outside or on the circle, first we will find the distances between points K & U and then K & V.

KU would be radius of the circle.

\(d(KU) = \sqrt{ {(6 - 0)}^{2} + {( - 4 - 0)}^{2} } \\ = \sqrt{ {6}^{2} + {( - 4)}^{2} } \\ = \sqrt{36 + 16} \\ \red{ \bold{ d(KU)= \sqrt{52} }} \\ \\ d(KV) = \sqrt{ {( \sqrt{2} - 0)}^{2} + {( 7 - 0)}^{2} } \\ = \sqrt{ {( \sqrt{2)} }^{2} + {(7)}^{2} } \\ = \sqrt{2 + 49} \\ \purple{ \bold{ d(KV)= \sqrt{51} }} \\ \\ \because \: d(KU) > d(KV) \\ \)

Hence point V lie inside of the circle.

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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For both part (a), the two nonnegative numbers, x and y must be 0 and 20 for the sum of their squares to be as large as possible, and 10 and 10 for the sum of their squares to be as small as possible. For part (b), x must be 20 and y should be 0 for largest possible result, whereas for smallest possible result x must be 0 and y should be 20.

Nonnegative numbers are numbers which are greater than or equal to zero.

For a much straightforward and easy way of solving such questions we can simply use the trial and error method.

For part (a), we can start off by taking both the numbers as 10. The sum of their squares will now be 100. If we take the numbers as 12 and 8, the sum of their squares will be 208. As we can see by increase one of the numbers we get a larger result. Thus, the largest possible values will be 20 and 0, which will give a result of 400. While carrying out this trial and error method we also found out that the minimum result was obtained when both the numbers were 10.

For part (b), a similar approach can be taken. Through trial and error method we observe that  20 + (0)^1/2 gives the largest possible result, whereas 0 + (20)^1/2 gives the smallest possible result.

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Answer:

Look Below

Step-by-step explanation:

The formula for a circle is πr².

Therefore, we can divide the area of the circle by 3.14, and then square root it. 490.63/3.14=156.25... If you square root that, you get 12.5. Same thing with the other circle. 219.45/3.14=69.888... If you square root that, you get 8.36. Now that we have the radius, we can multiply that by two to find the diameter. And we're done.

Feel free to tell me if I did anything wrong! :)

Answer:6.80

Step-by-step explanation:

Answer:

B. (x - 4) (x - 1 )

Step-by-step explanation:

hopes this helps

sorry if this is wrong :/

Answer:

Step-by-step explanation:

-3x - 8y - 2

Answer:

Answer:

SAS postulate

Step-by-step explanation:

AD (common)

AC = BD (both are diameters)

Angle COD = Ange AOD (vertically opposite angles)

Angle CAD = Angle BAD (angle on the circumference is half the angle at the centre)

Therefore, ABD and DCA are congruent by SAS postulate

Step-by-step explanation:

not even 30 points lol it says 18 ANYWAYS hope this helps