Find the sum of all angles of the quadrilateral if sides are in ratio 2:3:6:9​

Answers

Answer 1

2  =

3  =

6 : 9  =

Step-by-step explanation:

Here are some solutions! Hope this helps.

-Lei


Related Questions

1/3 of your birthday cake is leftover from your party. If you eat 1/4 of the leftover cake, what fraction of the original birthday cake is left

Answers

Answer:

a twelth= 1/12

Step-by-step explanation:

Simone and Leah are playing a game with dice. What is the probability Simone rolls a 6 and then Leah rolls an odd number?

Answers

Answer:

1. 1/6

2. 1/2

Step-by-step explanation:

A dice has 6 sides. So the sample space for this question =

[1,2,3,4,5,6]

1. From the sample space we can see that 6 occurs only once in a dice

So probability of a 6

= 1/6

2. Number of odds = 3 (1,3,5)

Probability Leah rolls an odd number

= Odd/total

= 3/6

= 1/2

Find the unit rate. Enter your answer as a mixed number.

A fertilizer covers 2/3 square foot in 1/4 hour.

The unit rate is
square feet per hour.

Answers

The answer to your question is 8/3 square feet per hour

Trigonometry, please answer ASAP, Convert the radian measure to degrees.
12

Answers

Um can u attach a photo of the question bc no one can see it

Answer:

687.549 deg

Step-by-step explanation:

12 rad = 687.549 deg


prove the following statement:
Let n be an odd positive integer then the sum of n consecutive
integers is divisible by n.

Answers

The sum of n consecutive integers, where n is an odd positive integer, is divisible by n.

To prove the statement, let's consider a set of n consecutive integers starting from a.

The sum of n consecutive integers can be expressed as:

S = a + (a+1) + (a+2) + ... + (a+n-1)

To find the sum, we can use the formula for the sum of an arithmetic series:

S = (n/2) × (2a + (n-1))

Since n is an odd positive integer, we can represent it as n = 2k + 1, where k is a non-negative integer.

Substituting this value of n into the sum formula, we get:

S = ((2k+1)/2) × (2a + ((2k+1)-1))

Simplifying further:

S = (k+1) × (2a + 2k)

S = 2(k+1)(a + k)

Since k is an integer, (k+1) is also an integer. Therefore, we can rewrite the sum as:

S = 2m(a + k)

Now, we can see that S is divisible by n = 2k + 1, where m = (k+1).

Thus, we have proven that the sum of n consecutive integers, where n is an odd positive integer, is divisible by n.

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Find the area of the shaded region. Use the pin button on the calculator. Round to the nearest whole number. 14 70°

Answers

Answer:

The area is approximately [tex]588cm^2[/tex]

Step-by-step explanation:

Given

See attachment for figure

Required

The area of the shaded region

The shaded region is as follows:

A major segmentA triangle

First, calculate the area of the major segment using:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

Where

[tex]r = 14[/tex]

[tex]\theta = 360 - 70 =290[/tex]

So, we have:

[tex]A_1 = \frac{290}{360} * 3.14 * 14^2[/tex]

[tex]A_1 = 495.7711[/tex]

Next, the area of the triangle using:

[tex]Area = \frac{1}{2}ab \sin C[/tex]

Where

[tex]a=b=r = 14[/tex]

[tex]C = 70^\circ[/tex]

So, we have:

[tex]A_2 = \frac{1}{2} * 14 * 14 * sin(70)[/tex]

[tex]A_2 = 92.0899[/tex]

So, the area of the shaded region is:

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 495.7711 + 92.0899[/tex]

[tex]Area = 587.8610[/tex]

[tex]Area \approx 588[/tex]

Can somebody plz help answer these questions correclty (only if u remmeber how to do these) thanks sm!

WILL MARK BRAINLIEST WHOEVER ANSWEERS FIRST :DDD

Answers

Answer:

a= 126 degrees

b= 54 degrees

r= 54 degrees

s= 126 degrees

Step-by-step explanation:

The midpoint of CD is M=(2, -1). One endpoint is C=(-3,-3). Find the coordinates of the other endpoint, D. D (?, ?) M (2,-1) C (-3,-3) D = (-7, -1) Find an ordered pair (x, y) that is a solution to the equation. -x+5y=2

Answers

The ordered pair (x, y) that is a solution to the equation -x + 5y = 2 is (0, 2/5).

To find the coordinates of the other endpoint D given that the midpoint of CD is M(2, -1) and one endpoint is C(-3, -3), we can use the midpoint formula:

Midpoint formula:

The coordinates of the midpoint between two points (x₁, y₁) and (x₂, y₂) are given by ((x₁ + x₂) / 2, (y₁ + y₂) / 2).

Using the given information, we can substitute the known values into the midpoint formula and solve for the coordinates of D:

M(2, -1) = ((-3 + x₂) / 2, (-3 + y₂) / 2)

Simplifying the equation:

2 = (-3 + x₂) / 2

-1 = (-3 + y₂) / 2

To solve for x₂:

4 = -3 + x₂

x₂ = -3 + 4

x₂ = 1

To solve for y₂:

-2 = -3 + y₂

y₂ = -3 - 2

y₂ = -5

Therefore, the coordinates of the other endpoint D are D(1, -5).

To find an ordered pair (x, y) that is a solution to the equation -x + 5y = 2, we can choose any value for either x or y and solve for the other variable. Let's choose x = 0:

-0 + 5y = 2

5y = 2

y = 2/5

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Simplify the following expressions to have fewer terms 5x-3+4(4x-6)+2

Answers

Answer:

(21x-25)

Step-by-step explanation:

We need to find an equivalent expression for the following.

5x-3+4(4x-6)+2

We can solve it as follows:

5x-3+4(4x-6)+2 = 5x-3+16x-24+2

= 5x+16x-3-24+2

= 21x-25

So, the equivalent expression is equal to (21x-25).

in a single run of hades, zagreus has a 10% chance of catching 0 fish, 40% chance of catching 1 fish, 35% chance of catching 2 fish, and a 15% chance of catching 3 fish. calculate the standard deviation of the fish zagerus will catch.

Answers

The standard deviation of the fish Zagreus will catch is approximately 0.6833.

Given probability of catching fish by Zagreus in a single run of Hades is as follows: P(0 fish) = 0.10 P(1 fish) = 0.40 P(2 fish) = 0.35 P(3 fish) = 0.15

To calculate the standard deviation of the fish Zagreus will catch, we need to follow these steps:

Find the expected value, µ, of the fish he will catch.

Then, calculate the variance, σ², using the formula:σ² = Σ [(x - µ)² P(x)]

Finally, calculate the standard deviation, σ, which is the square root of the variance.μ = Σ [xP(x)]μ = (0 × 0.10) + (1 × 0.40) + (2 × 0.35) + (3 × 0.15)μ = 0.75

The expected value, µ, of the fish he will catch is 0.75.

To find the variance:σ² = [(0 - 0.75)² × 0.10] + [(1 - 0.75)² × 0.40] + [(2 - 0.75)² × 0.35] + [(3 - 0.75)² × 0.15]σ² = 0.4675

Finally, the standard deviation, σ, is the square root of the variance:σ = √σ²σ = √0.4675σ ≈ 0.6833

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Given: In a single run of hades, zagreus has a 10% chance of catching 0 fish, 40% chance of catching 1 fish, 35% chance of catching 2 fish, and a 15% chance of catching 3 fish. The standard deviation of the fish that Zagreus will catch is 0.49 fish.

The standard deviation of the fish that Zagreus will catch can be calculated using the following formula

σ = sqrt [∑(x-μ)²/N], where σ is the standard deviation, ∑ is the sum of, x is the fish, μ is the mean, and N is the total number of chances.

The mean value of the fish Zagreus is expected to catch is given by:

μ = (0 x 10/100) + (1 x 40/100) + (2 x 35/100) + (3 x 15/100)

μ = 0 + 0.4 + 0.7 + 0.45

μ = 1.55.

Therefore, the mean value of the fish Zagreus will catch is 1.55 fish.

To calculate the standard deviation, we first calculate the deviation of each value from the mean as shown below: Deviation = x - μ

The deviations for each value of fish that Zagreus could catch are: -1.55, -0.55, 0.45, and 1.45.

Now, we can plug in these values into the formula above to calculate the standard deviation as shown below:

σ = sqrt [(-1.55² x 10/100) + (-0.55² x 40/100) + (0.45² x 35/100) + (1.45² x 15/100)]

σ = sqrt [0.24025]

σ = 0.49

Therefore, the standard deviation of the fish that Zagreus will catch is 0.49 fish.

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If Sarah has $6453 Dallors of food and has $135 Dollars on her. How much will she need to pay for her food?
A. 6318
B. 233
C. 4555
D None of the Above

Answers

Answer:

It will be A

Step-by-step explanation:

6453

- 135

--------

6318 dollars needed for Sarah's food.

Hope this helps!

can someone help me and explain this?? thanks so much! ​

Answers

Answer:

Step-by-step explanation:

10^7 = 1 and 7 zeros after it.

=> 10000000

I would just like some solving steps or the answers.

Answers

Ooooooooooooooooooooh

Refering to #14, what is the approximate area of the lake where the resort has ownership responsibility? (Round your answer to the nearest hundredths) (Type in answer my F G F ZH = 71°.x=1.3. y = 20.0 . ZH = 71°,x= 3.0, y = 19.8 2H = 71°, x = 18.9, y 6.5 LH = 71°.x 6.5. y 18.9 14 A lakaside resort has ownership responsibility for the lako from each edge of their shoreline to the cantor of the roughly circular lake. The distance hom shore to the center of the lake is 130 meters and the central anglo respresenting the resorts Warship's 50° a What is the approudmate length of shoreline owned by the resort (Round your answer to the nearest hundredma) po in answer m)

Answers

The approximate area of the lake where the resort has ownership responsibility is 711.82 meters².

How to calculate the area

Area of sector = (central angle / 360°) * π * radius²

We know that the central angle is 50°, the radius is 130 meters, and π is approximately equal to 3.14.

Plugging these values into the formula, we get:

Area of sector = (50° / 360°) * 3.14 * 130²

Area of sector = 25/72 * 3.14 * 16900

Area of sector = 15750/22

Area of sector = 711.82 meters²

Therefore, the approximate area of the lake where the resort has ownership responsibility is 711.82 meters².

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Suppose that U follows the Uniform distribution U ~ U[2, 3]. Find the probability density function of Y = exp(U).

Answers

The probability density function of Y = exp(U) is given by:

                   f(y) = { 1/y, 2 ≤ y ≤ e³ ; 0, elsewhere }.

Given that: U follows the Uniform distribution U ~ U[2, 3]. We have to find the probability density function of Y = exp(U).

The formula used: The probability density function of a random variable X, is denoted by f(x), is the derivative of the cumulative distribution function (cdf), denoted by F(x). We have F(x) = P(X ≤ x).

The probability density function of the uniform distribution U(a,b), is given by

f(x)=1/(b-a), where a ≤ x ≤ b.

Here, U[2,3]So, a = 2, b = 3

Let's find the probability density function of Y = exp(U).

So, for finding the probability density function of Y = exp(U), first, we need to find the cumulative distribution function F(y) of Y. Let's do that.

So, F(y) = P(Y ≤ y) = P(exp(U) ≤ y) = P(U ≤ ln y)

We have, Y = exp(U), which is a one-to-one function of U and increasing in U. Hence, we can use the one-to-one transformation formula. Hence, the probability density function of Y, f(y) = f(u) / |dy/du|.f(u) = 1/ (3-2) = 1

Here, dy/du = d/dy [exp(u)] = exp(u) = Y

Therefore, f(y) = 1/Y, for 2 ≤ u ≤ 3.

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Suppose that U follows the Uniform distribution U ~ U[2, 3].

Find the probability density function of Y = exp(U).

Let fU(u) be the pdf of U.Since U has a Uniform distribution over the interval [2, 3], its pdf is given by:

fU(u) = {1 / (3 - 2)} = 1, 2 ≤ u ≤ 3, and 0 elsewhere.

Now we need to find the pdf of Y = exp(U).

Let FY(y) be the cdf of Y.

Then we can write:

FY(y) = P(Y ≤ y) = P(exp(U) ≤ y) = P(U ≤ ln(y)), for y > 0.

Since U is continuous and its pdf is given by fU(u), we have:

[tex]FY(y) = ∫_{2}^{ln(y)} fU(u)du = ∫_{2}^{ln(y)} 1du = ln(y) - 2, 2 ≤ ln(y) ≤ 3, and 0 elsewhere.[/tex]

We can differentiate FY(y) to find the pdf of Y:

fy(y) = d/dy FY(y) = (1 / y) fY(ln(y)) = (1 / y), 2 ≤ y ≤ e3, and 0 elsewhere.

Therefore, the probability density function (pdf) of Y = exp(U) is given by:

fy(y) = (1 / y), 2 ≤ y ≤ e3, and 0 elsewhere.

In general, if U is a continuous random variable with pdf fU(u) and Y = g(U) is a monotonic transformation of U, then the pdf of Y can be found using the formula:

[tex]fy(y) = fU(g^{-1}(y)) / |dg^{-1}(y) / dy|,[/tex]

where g^{-1}(y) is the inverse function of g(y) and |dg^{-1}(y) / dy|

is the absolute value of the derivative of g^{-1}(y) with respect to y.

The probability density function (pdf) of the random variable

Y = exp(U)

where U is distributed uniformly over the interval [2, 3] can be found as follows:

Let f_U(u) be the pdf of U.

Since U has a Uniform distribution over the interval [2, 3], its pdf is given by:

f_U(u) = {1 / (3 - 2)} = 1, 2 ≤ u ≤ 3, and 0 elsewhere.

Now we need to find the pdf of Y = exp(U).

Let F_Y(y) be the cdf of Y.

Then we can write:

[tex]F_Y(y) = P(Y ≤ y) = P(exp(U) ≤ y) = P(U ≤ ln(y)), for y > 0.[/tex]

Since U is continuous and its pdf is given by f_U(u), we have:

[tex]F_Y(y) = ∫_{2}^{ln(y)} f_U(u)du = ∫_{2}^{ln(y)} 1du = ln(y) - 2, 2 ≤ ln(y) ≤ 3, and 0 elsewhere.[/tex]

We can differentiate F_Y(y) to find the pdf of Y:

[tex]fy(y) = d/dy F_Y(y) = (1 / y) f_Y(ln(y)) = (1 / y), 2 ≤ y ≤ e^3, and 0 elsewhere.[/tex]

Therefore, the probability density function (pdf) of Y = exp(U) is given by:

fy(y) = (1 / y), 2 ≤ y ≤ e^3, and 0 elsewhere.

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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

I cannot see the picture

Step-by-step explanation:

A quality control expert at a pretzel factory took a random sample of 101010 bags from a production run of over 500500500 bags and measured the amount of pretzels in each bag in the sample. The sample data were roughly symmetric with a mean of 450, and a standard deviation of 15
Based on this sample, which of the following is a 90%, percent confidence interval for the mean amount of pretzels per bag (in grams) in this production run?

Answers

Answer:

H0​:μ=440 g

Ha​:μ does not equal 440 g​

Step-by-step explanation:

kahn

The 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is  [441.31, 458.69] approximately.

How to calculate confidence interval for population mean for small sample?

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Let the sample mean given as [tex]\overline{x}[/tex] andThe sample standard deviation s, andThe sample size = n, and The level of significance = [tex]\alpha[/tex]

Then, we get the confidence interval in between the limits

[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]

where [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for specific level of significance and degree of freedom n - 1.

For this  case, we're provided;

The sample mean given as [tex]\overline{x}[/tex] = 450The sample standard deviation s = 15The sample size = n = 10The level of significance = [tex]\alpha[/tex] = 100 - 90% = 10% = 0.1

The critical value of t  at level of significance 0.1 iand at degree of freedom 10-1=9 is:

Thus, the confidence interval in between the limits

[tex]450 \pm 1.833 \times \dfrac{15}{\sqrt{10}}[/tex]

or

[tex]450 \pm 8.69[/tex] approximately or 441.31 to 458.69 or we write it as: [441.31, 458.69] approximately.

Thus, the 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is  [441.31, 458.69] approximately.

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What is 980x58? I am giving 10 points I am not sure if it’s fair

Answers

Answer: 56840

A bit of long multiplication

Answer:

56840

Step-by-step explanation:

8 x5/7 need help asap​

Answers

Answer:

5.71428571429

5 7/10

Step-by-step explanation:

Hope this helps and have a great day!!!!

Answer:

40/7

Step-by-step explanation:

Kendall bought a vase that was priced at $450. In addition, he had to pay 9% sales tax. How much did he pay for the vase?

Answers

Answer:

$436

Step-by-step explanation:

2=5-5x (your answer must include the variable)

Answers

Answer: x=3/5

Step-by-step explanation:

find the mean of the day 10.25‚9‚4.75‚8‚2.65‚12‚2.35​

Answers

Answer:

7!

Step-by-step explanation:

If you add all of those numbers together it would be 49!

Then you divide that number how many numbers there are.

There are 7 numbers and 49/7 =7!

Pls help I’m very confused (will mark brainliest)

Answers

DON'T OPEN IT IT IS A VIRUS!!

At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?

Answers

D. 3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots
hope this helps!:)

Use substitution to solve the following system of equations.
y=3x +8
5x+ 2y = 5

Answers

Answer:

5x+2(3x+8)

5x+6x+16

11x+16

11x=-16

X=16/11

Plot the points D(-9,-6) E(-6,-3) F(0,-9)and dilate usinng a scale factor of 1/3 centered at the origin

Answers

Answer:

Step-by-step explanation:

Rule for the dilation of a point about the origin is,

(x, y) → (kx, ky)

Here, k = scale factor

Dilating points D, E and F about the origin by a scale factor 'k' = [tex]\frac{1}{3}[/tex]

D(-9, -6) → D'(-3, -2)

E(-6, -3) → E'(-2, -1)

F(0, -9) → F'(0, -3)

Now we can plot these points on graph.

Use the given values of n and p to find the minimum usual value and the maximum usual value. Round your answer to the nearest hundredth unless otherwise noted. n=267, p=0.239
a. Minimum usual value: 63.85, Maximum usual value: 90.56
b. Minimum usual value: 54.65, Maximum usual value: 79.92
c. Minimum usual value: 42.56, Maximum usual value: 72.01
d. Minimum usual value: 34.32, Maximum usual value: 68.76

Answers

Option (b) is the correct answer. Minimum usual value: 54.65

Maximum usual value: 79.92.

The given values are n = 267 and p = 0.239. The minimum usual value and the maximum usual value are to be calculated. We use the formula of the mean and the standard deviation for this purpose:

Mean = µ = np = 267 × 0.239 = 63.93Standard Deviation = σ = sqrt (npq) = sqrt [(267 × 0.239 × (1 - 0.239)] = 5.01The minimum usual value is obtained when the z-value is -2, and the maximum usual value is obtained when the z-value is +2. We use the z-score formula: z = (x - µ) / σwhere µ = 63.93 and σ = 5.01(a) When the z-value is -2, x = µ - 2σ = 63.93 - 2(5.01) = 53.91(b) When the z-value is +2, x = µ + 2σ = 63.93 + 2(5.01) = 73.95

Therefore, the minimum usual value is 53.91, and the maximum usual value is 73.95 (rounded to the nearest hundredth).

Thus, option (b) is the correct answer. Minimum usual value: 54.65Maximum usual value: 79.92.

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The given values are: n=267, p=0.239

We need to find the minimum usual value and the maximum usual value using these values of n and p.

Let X be a random variable with a binomial distribution with parameters n and p.

The mean of the binomial distribution is:μ = np

The standard deviation of the binomial distribution is:σ = sqrt(npq)where q = 1-p

Let X be a binomial distribution with parameters n = [tex]267 and p = 0.239μ = np = 267 × 0.239 = 63.813σ = sqrt(npq) = sqrt(267 × 0.239 × 0.761) = 6.788[/tex]

The minimum usual value is given by:[tex]μ - 2σ = 63.813 - 2 × 6.788 = 50.236[/tex]

The maximum usual value is given by:[tex]μ + 2σ = 63.813 + 2 × 6.788 = 77.39[/tex]

Thus, the minimum usual value is 50.24 and the maximum usual value is 77.39(rounded to the nearest hundredth).

Therefore, the answer is:Minimum usual value: 50.24, Maximum usual value: 77.39

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A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions that are needed to determine if these lines intersect.

WILL MARK BRAINLIEST

Answers

Answer:

what is this a different answer orrrr?

Are the ratios 2:3 and 1:2 equivalent??

Answers

Answer:

No coz 2:3 is 2+3=5

1:2 is 1+2=3 so they are not equivalent.

PLEASE HELP ITS DUE TODAY!

5. Find the length of the missing side in the figure below. a =
cm.


5.8
2.4
8.5
оо
5.3

Answers

Answer:

a=[tex]\sqrt{28.32}[/tex]≈5.3217 cm

Step-by-step explanation:

Use the Pythagorean Theorem

a^2+4.7^2=7.1^2

a^2+22.09=50.41

a^2=28.32

a=[tex]\sqrt{28.32}[/tex]

≈5.3217

Answer:

5.3

Step-by-step explanation:

Check the attached image for explanation if you are interested, as I did not feel like spending 20 minutes re-formatting the equations to work on Brainly.

Also, I did not do this

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which of the following is not true? investors on average have overconfidence bias. people tend to expect even small samples to reflect the properties of the parent population. this is called representativeness bias. high idiosyncratic volatility stocks have lower returns. this is related to the risk parity strategy widedly used in industry. the reason of such underperformance maybe due to lottery preference. after observing past growth, investors extrapolate that growth is not going to continue in the long term Determine if the following equation has x-axis symmetry, y -axis symmetry, origin symmetry, or none of these. Y = -|x/3| SOLUTION x-Axis Symmetry y-Axis symmetry Origin Symmetry None of these. in the syntehsis of hexaphenylbenzene, why is the intially form bicyclic adduct nto isolated A 3-ary tree is a tree in which every internal node has exactly 3 children. The number of leaf nodes in such a tree with 6 internal nodes will bea)10b)23c)17d)13 Orient Airlines' common stock currently sells for $32, and its 8% convertible debentures (issued at par, or $1,000) sell for $850. Each debenture can be converted into 26 shares of common stock at any time before 2020. What is the conversion value of the bond? a. $707.33 b. $744.56 c. $783.75 d. $832.00 e. $858.00 Which of the following does the Federal Reserve control directly?(i) inflation(ii) unemployment(iii) output(iv) real GDP Yn+1 = Yn + hf(x,y) e-/Pdx Y(x) = Y(x) [ fe y(x) G(x, t)= y (t)y(x) y (x)yz(t) W(t) -SGC G(x, t)f(t)dt L{f(t = a)U(ta)} = e-as F(s) Yp = L{eat f(t)} = F(s a) L{f(t)U(t a)} = esL{f(t + a)} as L{t"f(t)} = (1) dm [F(s)] dsn L{8(t - to)} = e-sto Yn+1 = Yn + hf(x,y) e-/Pdx Y(x) = Y(x) [ fe y(x) G(x, t)= y (t)y(x) y (x)yz(t) W(t) -SGC G(x, t)f(t)dt L{f(t = a)U(ta)} = e-as F(s) Yp = L{eat f(t)} = F(s a) L{f(t)U(t a)} = esL{f(t + a)} as L{t"f(t)} = (1) dm [F(s)] dsn L{8(t - to)} = e-sto Solve the following separable equation: (e-2x+y +e-2x) dx - eydy = 0 e = 0 y Which of the following is correct? The higher the coupon rate of a bond, the greater its price sensitivity to changes in interest rates. The lower the yield of a bond, the greater its price sensitivity to changes in interest rates The longer the maturity of a bond, the greater its price sensitivity to changes in interest rates. Briefly explain the procedures for the manufacturing andshipping of gaming equipment that the Gambling Devices Actestablishes and the penalties for noncompliance.Please type 600 - 800 words. Thank A firm in a perfectly competitive industry is currently producing 1,000 units per day at a total cost of $450. If the firm produced 800 units per day, its total cost would be $300, and if it produced 500 units per day, its total cost would be $275. What are the firm's ATC per unit at these three levels of production? Propose a synthesis of the compound shown below starting with 4-methoxycinnamic acid. Use the Hunsdiecker reaction as one of the steps in your synthesis. Let k be a real number and (M) be the following system. (M): {x + y = 0 (2x + y = k 1} Using Cramer's Rule, the solution of (M) is A. x=1-k,y=2-2kB. x=k-1,y=1-k C. x=1-k,y=2k-2 D. None of the mentioned You are an entrepreneur starting a biotechnology firm. If your research is successful, the technology can be sold for $23 million. If your research is unsuccessful, it will be worth nothing. To fund your research, you need to raise $3.2 million. Investors are willing to provide you with $3.2 million in initial capital in exchange for 50% of the unlevered equity in the firm. a. What is the total market value of the firm without leverage? b. Suppose you borrow $0.3 million. According to MM, what fraction of the firm's equity will you need to sell to raise the additional $2.9 million you need? c. What is the value of your share of the firm's equity in cases a and b? CHAPTER 10 KARA S KITCHEN11)Enter the payment to Keep Cold Appliances.Payment Cheque #461 Dated August 3, 2024To Keep Cold Appliances, $53 331.20 in payment account including $512.80discount for early payment. Reference invoices #KC-618 and #KC-884.Entering Purchase Returns and Credit NotesReturns on purchases also occur for a variety of reasons. For example, the goods may bedamaged or the wrong items or quantity may have been shipped. Purchase returns areentered in the same way as sales returns or credits by entering the return as a creditnote. The supplier, date, payment method and terms must be the same as the originalpurchase. You cannot change the default asset account for inventory purchases orreturns.A credit note is a reversed purchase entry.The inventory asset account and GST Paid on Purchases will be credited todecrease the inventory and restore the tax liability. Accounts Payable will be debited toreduce the amount we owe to the supplier. Any applicable freight charges, also enteredas a positive amount, will also be reversed.If the credit is not a return of inventory, enter the amount as we did for the SalesCredit above and choose an appropriate accountSESSION DATE AUGUST 14, 2024Memo #4 Dated August 9, 2024Create new inventory item:Min Regular Preferred Linked AccountsNumber Description Unit Level Price Price Asset Revenue COGSF080 Refrigerator: Fr. door, no freezer, 36 cu ft each 2 $3 200 (2 900) 1540 4020 5060Purchase Invoice #CI-6891 Dated August 9, 2024From Chillers Inc.5 F030 Refrigerator: Fr. door, drawer freezer, 32 cu ft $13 375.005 F040 Refrigerator: Fr. door, shelf freezer, 32 cu ft 19 000.003 F060 Refrigerator: Fr. door, built-in, 36 cu ft 17 640.003 F080 Refrigerator: Fr. door, no freezer, 36 cu ft 6 000.00Freight 200.00GST 2 810.75Total $59 025.75Terms: 2/10, n/30.Memo #5 Dated August 9, 2024Edit the selling price for item F040 Refrigerator: Fr. door, shelf freezer, 32 cu ft toreflect the increase in the purchase price. The new regular and web price will be$5 300 and the preferred price will be $4 900.22) Cash Purchase Invoice #BDS-9033 Dated August 14, 2024From Brandon Daily Spectator (use Quick Add for new vendor), $1 200 plus $60GST and $84 RST for ads to run for 12 weeks. Purchase invoice total $1 344 paidin full by cheque #462. Create new Group account: 1290 Prepaid Advertising The Sherlock Division recorded operating data as follows for the past year: Sales $300,000 Operating expenses 225,000 Average operating assets 225,000 Stockholders' equity 80,000 Minimum required rate of return 20% For the past year, the margin was? You should not credit the source of an image unless you can specifically name the image creator.a. trueb. false A. Star Bank offers consumer loans with a 5 per cent base rate, charges a 0.25 per cent loan origination fee, imposes a 15 per cent compensating balance requirement and must pay a 5.5 per cent reserve requirement to the central bank. The loans typically are repaid at maturity. Calculate the loan's annual gross return, assuming the risk premium on consumer loans is 1.5 per cent (show all workings).B. Referring to Part A, What will happen if regulator increase reserve requirements?pls answer part B only ________ marketing involve engaging directly with carefully targeted individual consumers and customer communities to both obtain an immediate response and build lasting customer relationships.A) Undifferentiated and differentiatedB) Mass and targetedC) Direct and digitalD) Internal and externalE) Standardized and customized Mabel Mora has a current income of $1600, which she spends only on books and movies. The price of books is $16, and the price of movies is $10. a. [2 points] Write down the equation of Mabel's budget line and graph her budget constraint, with the intercepts and the slope of the budget line clearly labeled. Put books on the horizontal (X) axis and movies on the vertical (Y) axis. b. [2 points] Suppose that Mabel chooses to purchase 55 books. On the same graph, show her utility-maximizing bundle (quantities of books and movies) and her indifference curve through this point. c. [2 points] Clearly explain what you know about how Mabel values books compared to movies (on the margin). d. [4 points] Now the price of movies increases to $20. If books are an inferior good and movies are a normal good, show what Mabel's new utility-maximizing bundle might look like on the same graph as before (including the new budget line and her indifference curve through this new point), and explain your reasoning. [You don't have enough information to determine the exact bundle of books and movies that Mabel will choose, but you can determine whether her consumption of each good will increase or decrease.] Which of the following is an attribute of investment bankers? A. They act as middlemen between the issuer and the banker. B. They make long-term investments for banking institutions. C. They provide the issuer with advice relating to the amounts of dividend to be paid. D. They bear the risk of selling a security issue.