Solve for x, y, and z. Enter the integer that is under each radical.

Solve For X, Y, And Z. Enter The Integer That Is Under Each Radical.

Answers

Answer 1

Answer:

[tex] x=\sqrt{10} [/tex]

[tex] y = \sqrt {14} [/tex]

[tex] z = \sqrt {35} [/tex]

Step-by-step explanation:

By geometric mean theorem:

[tex] x=\sqrt{2\times 5} [/tex]

[tex] x=\sqrt{10} [/tex]

By Pythagoras Theorem:

[tex] y^2 = x^2 + 2^2 [/tex]

[tex] y^2 = (\sqrt{10}) ^2 + 2^2 [/tex]

[tex] y^2 = 10 + 4 [/tex]

[tex] y^2 = 14 [/tex]

[tex] y = \sqrt {14} [/tex]

Again by Pythagoras Theorem:

[tex] z^2 = x^2 + 5^2 [/tex]

[tex] z^2 = (\sqrt{10}) ^2 + 5^2 [/tex]

[tex] z^2 = 10 + 25 [/tex]

[tex] z^2 = 35 [/tex]

[tex] z = \sqrt {35} [/tex]


Related Questions

It costs $1.16 to buy four-fifths a pound of apples. How much would it cost to
buy 8 pounds?

Answers

Answer:

11.60

Step-by-step explanation:

If the cost of 4/5th a pound of apples is $1.16, and we need to find the cost of that of 8 pounds, then you start by finding how many 4/5ths of a pound are in 8 pounds. 8 dividided by 0.8 (the decimal form of 4/5) is 10. Taking that 10, you would multiply the original cost of $1.16, which would bring you to the total of $11.60.

Help!!! answer quickly pls

Answers

Most likely (3,0)

If it’s reflected across the y axis, then it should be the opposite of (-3,0)

In the coordinate plane, what is the distance
between (-3, 5) and (-3,-8)?

Answers

Answer:

3

Step-by-step explanation:

Plug the coordinates into the distance formula to find that they are 3 units apart

Answer:

13 units

Step-by-step explanation:

sqrt (x2 - x1)^2 + (y2 - y1)^2

sqrt (-3 - (-3))^2 + (-8 -5)^2

sqrt (0)^2 + (-13)^2

sqrt 169

13


Using a standard deck of 52 cards, what is the probability that a
randomly dealt 5-card hand contains 2 kings and 3 cards that aren't
kings?

Answers

The probability that a randomly dealt 5-card hand contains 2 kings and 3 cards that aren't

kings is approximately 0.0399 or 3.99%.

To find the probability of randomly dealing a 5-card hand containing 2 kings and 3 cards that aren't kings, we need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes.

The number of ways to choose 2 kings from the 4 available kings is given by the combination formula:

C(4, 2) = 4! / (2! * (4-2)!) = 6

Similarly, the number of ways to choose 3 non-king cards from the remaining 48 cards (52 cards total - 4 kings) is:

C(48, 3) = 48! / (3! * (48-3)!) = 17,296

Therefore, the number of favorable outcomes (hands with 2 kings and 3 non-king cards) is:

6 * 17,296 = 103,776

The total number of possible 5-card hands that can be dealt from a standard deck of 52 cards is:

C(52, 5) = 52! / (5! * (52-5)!) = 2,598,960

So, the probability of randomly dealing a 5-card hand containing 2 kings and 3 cards that aren't kings is:

P(2 kings and 3 non-kings) = favorable outcomes / total outcomes = 103,776 / 2,598,960 ≈ 0.0399

Therefore, the probability is approximately 0.0399 or 3.99%.

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Please help with B ......

Answers

Answer:

17

Step-by-step explanation:

This means all students above 20, so 9 + 5 + 3 = 17

Answer:

17

pls mark brainliest

The Martins’ van can hold up to 8 passengers. Debbie writes the inequality p < 8, where p is the number of passengers that can fit in the van. Select the choice that provides the best explanation for Debbie’s error and the correct answer in this case. Debbie should have used 8p because 8 passengers can fit in the van. The correct inequality is 8p < 1. Debbie should have switched the inequality symbol to greater than. The correct inequality is p > 8. Debbie should have included 8 as a possible choice. The correct inequality is p < 9. Debbie should have used the not equals sign to compare the two sides of the inequality. The correct answer is p ≠ 8.

Answers

Answer:

Debbie should have included 8 as a possible choice. The correct inequality is p < 9.

Step-by-step explanation:

Given

Passengers = Up to 8

Required

Determine why [tex]p < 8[/tex] is incorrect and make corrections

The inequality [tex]p < 8[/tex] means that the van can hold less than 8 passengers.

To make correction, the digit 8 has to be included in the inequality.

This can be written as:

[tex]p <9[/tex] or[tex]p \le 8[/tex]

Base on the given options, option (c) best answered the question.

If the volume of the following cone is 640 feet³, what is the
length of the radius? Use 3.14 for and round the answer to
the nearest hundredth.
h=12 feet
The radius is
7
feet.

Answers

The length of the radius of the cone is approximately [tex]6.74[/tex] feet.

To find the length of the radius of the cone, we can use the formula for the volume of a cone:

[tex]\[\text{{Volume}} = \frac{1}{3} \pi r^2 h\][/tex]

The concept used to find the length of the radius is the formula for the volume of a cone.

Given that the volume is [tex]640[/tex] ft³ and the height (h) is [tex]12[/tex] ft, we can substitute these values into the formula:

[tex]\[640 = \frac{1}{3} \times 3.14 \times r^2 \times 12\][/tex]

Simplifying the equation:

[tex]\[\frac{640}{12 \times \frac{1}{3} \times 3.14} = r^2\]\[r^2 = \frac{640}{12 \times \frac{1}{3} \times 3.14}\]\[r^2 \approx 45.45\][/tex]

Taking the square root of both sides, we find:

[tex]\[r \approx \sqrt{45.45} \approx 6.74\][/tex]

Rounding the answer to the nearest hundredth, the length of the radius is approximately [tex]6.74[/tex] feet.

In conclusion, the length of the radius of the given cone, with a volume of [tex]640[/tex] ft³ and a height of [tex]12[/tex] feet, is approximately [tex]6.74[/tex] feet (rounded to the nearest hundredth).

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Element X is a radioactive isotope such that every 28 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 70 grams, how long
would it be until the mass of the sample reached 38 grams, to the nearest tenth of a
year?

Answers

Answer:

21

Step-by-step explanation:

how do u turn 3 into a fraction?

Answers

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

Put a 1 under it.

every whole number is equal to that number over 1, so three as a fraction would be 3/1 since three divided by one is still three.
so the answer is 3/1

please help i’ll give brainliest

Answers

Answer:

An animal that eats dead animals or plants.

Step-by-step explanation:

Its lowkey the defintion lol

Find sin(a) in the triangle.
Choose 1 answer:

Answers

Answer:

sin B sorryonlearning

f(x) = x2. What is g(x)?
Help me please

Answers

Answer:

Answer is B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

The answer is B

(PLEASE HELP ME ASAP)

Write down a number that has a value less than |4.7|

Answers

Answer:

4.6

Step-by-step explanation:

3.. litteraly anything less than that

Answer:

0

Step-by-step explanation:

|4.7| = 4.7

Any number less than a positive 4.7 is less than |4.7|.


Prove these are logically equivalent p->q, !q->!p ¬q→¬p,
p→q

Answers

From the truth table, we can see that p->q and ¬p∨q have the same truth values for all possible combinations of truth values for p and q. Therefore, we can conclude that p->q is logically equivalent to ¬p∨q. In summary, we can see that p->q is logically equivalent to both !q->!p and ¬p∨q.

To prove the logical equivalence of the given statements, we can show that they have the same truth values in all possible cases. We'll use a truth table to demonstrate this.

p | q | p->q | !q | !p | !q->!p | p->q = !q->!p

-------------------------------------------------

T | T |   T  |  F |  F |    T   |      T

T | F |   F  |  T |  F |    F   |      F

F | T |   T  |  F |  T |    T   |      T

F | F |   T  |  T |  T |    T   |      T

From the truth table, we can see that for all possible combinations of truth values for p and q, the statements p->q and !q->!p have the same truth values. Therefore, we can conclude that p->q is logically equivalent to !q->!p.

Now let's consider the second statement, p->q. We can rewrite it as ¬p∨q using the logical equivalence of implication.

The truth table for p->q and ¬p∨q is as follows:

p | q | p->q | ¬p | ¬p∨q

-----------------------------

T | T |   T  |  F |   T

T | F |   F  |  F |   F

F | T |   T  |  T |   T

F | F |   T  |  T |   T

From the truth table, we can see that p->q and ¬p∨q have the same truth values for all possible combinations of truth values for p and q. Therefore, we can conclude that p->q is logically equivalent to ¬p∨q.

In summary, we have shown that p->q is logically equivalent to both !q->!p and ¬p∨q.

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A tub contained 80 gallons
of water. The water drained from
the tub at a rate of 5 gallons every 4
minutes. At this rate, how many
minutes did it take
for all the water to
drain from the tub?

Answers

Answer:

its 64 because 4x16= 64

Step-by-step explanation:

what are the solutions tolog3x log3(x2 2) = 1 2log3x?x = –2x = –1x = 1x = 2there is no true solution.

Answers

To determine the solutions x⁵ + 2x³ = 3, you can use numerical methods or approximation techniques to estimate the values of x that satisfy the equation.

Let's solve the equation step by step to find the solutions.

Starting with the given equation:

log₃(x) + log₃(x² + 2) = 1 - 2log₃(x)

Now, let's simplify the equation using logarithmic properties. The sum of logarithms is equal to the logarithm of the product, and the difference of logarithms is equal to the logarithm of the quotient:

log₃(x(x² + 2)) = 1 - log₃(x²)

Next, we can simplify further by using the properties of exponents. The logarithmic equation can be rewritten in exponential form as:

([tex]3^{(log3(x(x^{2} +2)))} = 3^{(1-log3((x^{2}))}[/tex]

The base of the logarithm and the exponent cancel each other out, resulting in:

x(x² + 2) = [tex]3^{(1-log3(x^{2}))}[/tex]

Now, let's simplify the right-hand side by applying the power rule of logarithms:

x(x² + 2) = 3 / [tex]3^{(log3(x^{2} ))}[/tex]

Since  [tex]3^{(log3(x^{2} ))}[/tex]       is equal to x² by the definition of logarithms, the equation becomes:

x(x² + 2) = 3 / x²

Expanding the left-hand side:

x³ + 2x = 3 / x²

Multiplying through by x² to eliminate the fraction:

x⁵ + 2x³ = 3

This is a quadratic equation, which does not have a general algebraic solution that can be expressed in terms of radicals. Therefore, it is challenging to find the exact solutions analytically.

To determine the solutions, you can use numerical methods or approximation techniques to estimate the values of x that satisfy the equation.

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Evaluate the expression for the given value.

2w+2l, when w=7, l=5

Answers

Answer:

2w+2l.

2(7)+2(5).

14+10.

24.









Find the sample variance and standard deviation. 17, 10, 4, 8, 11 D Choose the correct answer below. Fill in the answer box to complete your choice. (Type an integer or a decimal. Round to one decimal

Answers

The sample variance is 10 and the standard deviation is 3.2.

How to find the sample variance and standard deviation?

Given data: 17, 10, 4, 8, 11

The sample size, n = 5

Mean (m) = ∑x / n

m = (17 + 10 + 4 +8 + 11)/5

m = 50/5

m = 10

x           x-m             (x- m)²

17      17-10 = 7         49

10      10-10 = 0        0

4       4-10 = -6         36

8       8 - 10 = -2        4

11       11 - 10 = 1          1

                                     

                                90

∑(x- m)² = 90

Sample variance, s² = ∑(x-x)² /(n-1)

Sample variance, s² = 90/(10 - 1)

                                 = 90/9

                                 = 10

Standard deviation (S) = √variance

Standard deviation (S) = √10 = 3.2

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A simple random sample of size n = 49 is obtained from a population that is skewed right with µ = 81 and σ = 14. (a) Describe the sampling distribution of x. (b) What is P (x>84.9)? (c) What is P (x≤76.7)? (d) What is P (78.1

Answers

The sampling distribution of x is N (µx = µ = 81, σx = 2.00).The probability of x > 84.9 is:P(x > 84.9) = P(z > 1.75) = 0.0401.The probability of 78.1 < x < 81 is:P(78.1 < x < 81) = P(-0.95 < z < 0) = 0.3289.

a)Sampling distribution of x

The sampling distribution of x is the probability distribution of all the possible sample means that can be drawn from a population under the same sampling method.

It represents the relative frequency of different values of x (sample mean) that can be obtained when samples of size n are taken from the population.

The sampling distribution of x is approximately normal when the sample size is sufficiently large, i.e. n ≥ 30. In this case, n = 49, which is sufficiently large to assume normality of sampling distribution of x.

The mean of the sampling distribution of x is µx = µ = 81, and the standard deviation is: σx = σ / √n = 14 / √49 = 2.00.

Hence, the sampling distribution of x is N (µx = µ = 81, σx = 2.00).

b)P(x > 84.9)

The z-score is:z = (x - µx) / σx = (84.9 - 81) / 2.00 = 1.75.

Using the standard normal distribution table, the probability of z > 1.75 is 0.0401.

Hence, the probability of x > 84.9 is:P(x > 84.9) = P(z > 1.75) = 0.0401

c)P(x ≤ 76.7)

The z-score is:z = (x - µx) / σx = (76.7 - 81) / 2.00 = -2.15

Using the standard normal distribution table, the probability of z ≤ -2.15 is 0.0150.

Hence, the probability of x ≤ 76.7 is:P(x ≤ 76.7) = P(z ≤ -2.15) = 0.0150d)P(78.1 < x < 81)

The z-score for x = 78.1 is:z1 = (x1 - µx) / σx = (78.1 - 81) / 2.00 = -0.95

The z-score for x = 81 is:z2 = (x2 - µx) / σx = (81 - 81) / 2.00 = 0

Using the standard normal distribution table, the probability of z1 < z < z2 is:P(z1 < z < z2) = P(-0.95 < z < 0) = P(z < 0) - P(z < -0.95) = 0.5000 - 0.1711 = 0.3289.

Hence, the probability of 78.1 < x < 81 is:P(78.1 < x < 81) = P(-0.95 < z < 0) = 0.3289.

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Please help me and no links

Answers

Answer:

Sam's is nonsense and Kim's is sense

Step-by-step explanation:

why? because 1/3 and 1/6 are not equivalent. and 1/3 is greater. so therfore Kim's makes sense

PLEASE HELPP ME!!!!
It would be greatly appreciated :)

Answers

Answer:

The slope of the line is 2/3

Answer: 1.5

Step-by-step explanation:

I plugged it in STAT, but you can do rise over run, or use the formula, y2-y2/x2-x1

Much help is needed________

Answers

Answer:

it is 14

Step-by-step explanation:

Answer:

C) 14

Step-by-step explanation:

Volume of a Sphere:

V = 4/3πr³

V = 4/3(3.14)1.5³

V = 4/3(3.14)3.375

V = 14.13

14.13 ≈ 14

Four years ago. Sherman bought 150 shares of Boca-Cola stock for $15 a share. He received a dividend of $0.30 per share each year. If the stock price has increased to $50 per share, what would be his total return?

Answers

Sherman's total return on his investment in Boca-Cola stock is $5,430.

The formula for the total return on an investment is as follows:

total return = capital gain + dividend yield

Initially, Sherman bought 150 shares of Boca-Cola stock for $15 a share.

Therefore, the initial investment (also known as the initial cost) is:

$15 x 150 = $2,250

Four years later, the stock price of Boca-Cola is $50 per share.

The capital gain is calculated as follows:

capital gain = final share price - initial share price

capital gain = $50 - $15

capital gain = $35

Therefore, the capital gain on Sherman's 150 shares is:

$35 x 150 = $5,250

Next, we need to calculate the total amount of dividends that Sherman received over the 4 years. The dividend per share is $0.30. Therefore, the total amount of dividends received is:

total dividends = dividend per share x number of shares x number of years

Sherman received dividends for 4 years, so:

total dividends = $0.30 x 150 x 4

total dividends = $180

The dividend yield is calculated as follows:

dividend yield = total dividends / initial cost

dividend yield = $180 / $2,250

dividend yield = 0.08 or 8%

Finally, we can calculate the total return:

total return = capital gain + dividend yield

total return = $5,250 + $180

total return = $5,430

Therefore, Sherman's total return on his investment in Boca-Cola stock is $5,430.

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A triangular prism of length 20 cm with a triangular base of side 8 cm and height 4 cm. Calculate the volume in litres.

Answers

The volume of a triangular prism with a base 8 cm and height of 4 cm, length of 20 cm = 0.32 liters.

To calculate the volume of a triangular prism, you multiply the area of the base triangle by the length of the prism. Given that the base triangle has a side length of 8 cm and a height of 4 cm, its area can be calculated as (1/2) * base * height = (1/2) * 8 cm * 4 cm = 16 cm².

Multiplying this by the length of the prism, which is 20 cm, we get the volume:

Volume = Base Area * Length = 16 cm² * 20 cm = 320 cm³.

To convert this volume to liters, we know that 1 liter is equal to 1000 cm³. Therefore, we can divide the volume in cm³ by 1000 to obtain the volume in liters:

Volume in liters = 320 cm³ / 1000 = 0.32 liters.

So, the volume of the triangular prism is 0.32 liters.

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x/3 less than or equal to 7

Answers

Answer:

x ≤ 21

Step-by-step explanation:

x/3 ≤ 7

x ≤ 21

Answer:

x ≤ 21

Step-by-step explanation:

With this problem, we have to solve for x, and to do that, we isolate the variable.

To do this, let’s get rid of the /3 from the x by multiplying both sides by 3

now we get x ≤ 7 times 3

finall, we get x≤21

Use convolution notation with and set up the integral to write the final answer of the following initial value ODE. There is no need to evaluate the integral. x" - 8x' + 12x = f(t) with f(t)

Answers

The integral representation of the solution to the initial value ordinary differential equation (ODE) x'' - 8x' + 12x = f(t) with f(t) is given by x(t) = x₀ * δ(t) + x₁ * δ'(t) + ∫[a,b] G(t - τ) * f(τ) dτ.

The given ODE is a linear homogeneous second-order ODE with constant coefficients. To find the integral representation of the solution, we introduce the Dirac delta function, δ(t), and its derivative, δ'(t), as the basis for the particular solution.

To set up the integral representation for the solution of the initial value ODE x'' - 8x' + 12x = f(t), we first define the Green's function G(t - τ). The Green's function satisfies the homogeneous equation with the right-hand side equal to zero:

G''(t - τ) - 8G'(t - τ) + 12G(t - τ) = 0.

Next, we set up the integral representation as follows:

x(t) = x₀ * δ(t) + x₁ * δ'(t) + ∫[a,b] G(t - τ) * f(τ) dτ,

The integral represents the convolution of the forcing function f(τ) with the Green's function G(t - τ).

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the bakers at a bakery can make 160 bagels in 4 hours. how many bagels can they bake in 6 hours? what is the rate per hour

Answers

Answer: they can make 240 bagels in 6 hours and the rate per hour is 40

Step-by-step explanation:

1. does a rectangle have opposite sides parallel
2. does a parallelogram have opposite sides parallel
3. does a trapezoid have opposite sides parallel
4. does a rhombus have opposite sides parallel

Answers

Answer:

yes I guess a rectangle has opposite sides parallel parallelogram has opposite sides parallel a trapezium has opposite sides parallel a rhombus has opposite sides parallel if I'm wrong please connect me right away thank you.

Answer:

1.Yes, 2 pairs

2.Yes, 2 pairs

3.Yes, 1 pair

4.Yes, 2 pairs

Step-by-step explanation:

1.Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.

2.A parallelogram is a four sided figure where the opposite sides are parallel.

3.A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.

4.Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.

Use Laplace transform to solve the following partial differential equation with prescribed boundary and initial data: Uz(x, t) + 2xut(x, t) = 2x, u(x,0) = 1, u(0,t) = 1, where x ER and t > 0. Show the details of your work.

Answers

The given partial differential equation is given by; Uz(x, t) + 2xut(x, t) = 2x

The Laplace transform of Uz(x, t) + 2xut(x, t) is given as follows; L[Uz(x,t)] + 2x L[ut(x,t)] = L[2x]sU(x,s) - u(x,0) + 2x[sU(x,s)-u(x,0)] = 2x/sU(x,s) + 2x/s^2 - 1(2x/s)U(x,s) = 2x/s^2 - 1 + sU(x, s)U(x, s) = [2x/s^2 - 1]/[2x/s - s]U(x, s) = s(2x/s^2 - 1)/(2x - s^2) = s/(2x - s^2) - 1/(2(s^2 - 2x))

By using the inverse Laplace transform, we have; u(x, t) = [1/s] * e^(s^2t/2x) - (1/2)sinh(t sqrt(2x)) / sqrt(2x)

Thus, the solution to the given partial differential equation is given as follows; u(x, t) = [1/s] * e^(s^2t/2x) - (1/2)sinh(t sqrt(2x)) / sqrt(2x)Where, u(x,0) = 1 and u(0,t) = 1.

The integral transform known as the Laplace transform is particularly useful for solving ordinary differential equations that are linear. It finds extremely wide applications in var-ious areas of physical science, electrical designing, control engi-neering, optics, math and sign handling.

The mathematician and astronomer Pierre-Simon, marquis de Laplace, gave the Laplace transform its name because he used a similar transform in his work on probability theory.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answers

Answer:

y= 3

x= -2

Step-by-step explanation:

..,............

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Let X1, X2, ... be i.i.d. Exp(1) random variables. Let Yn log n converges in distribution to Y, where Y has CDF Fy(y) = exp(-e^-Y) for all y R. A proton moves 0.10 m along the direction of the electric field of strength 3.0 N/C. The Electric potential difference between the protons initial and ending point is?A. 4.8E-19 VB. 0.30VC. 0.33VD. 30.0VSo Im confused on which equation to use to solve this, I thought I could use this formulaVi-Vf = EdVi-Vf = 3 x .10 = 0.30VBut I also saw a different way to solve this doingQ x E x d= 1.6E-19 x 3 x .10 = 4.8E-20 QUESTION 13If someone believes that markets are always efficient then what is the best investment strategy for them if they want to invest in the stock market?a. Fundamental analysisb. Technical analysisc. None of the optionsd. Index investing Brazil has a very high interest rate. According to _____, the Brazilian real should depreciate substantially.a. the international Fisher effect (IFE)b. purchasing power parity (PPP)c. "purchasing power parity (PPP)" and "the international Fisher effect (IFE)"d. interest rate parity (IRP) Colonists who agreed to work for another in return for passage to America were calledIndentured servantsNoblesSerfs Read the passageWhich sentence states a central idea of thepassage?A Moving ExperienceFocusing on what is absent makesit difficult to notice what is presentAnger and frustration are neveracceptable responses to changeIt happened again just like it did overy three tofour years The Wallace family was movingThis year's move would be a little different,though, because they weren't being stationedsomewhere in the United States, this time theywere transferring all the way to Aviano, ItalyColonel Wallace was a pilot in the Air Forceand he loved his job. His wife and two childrensupported his career, but this move hadgenerated quite a bit of tension inside hishousehold Sixteen-year-old Jasmin andDelwyn were twins. Delwyn seemed lessapprehensive about going to a new country,but Jasmin was dreading beginning a new lifefrom scratch, especially in ItalyMaking new friends is challengingin an unfamiliar countryChildren and parents mustcommunicate their feelings moreopenly Information necessary to prepare the year-end adjusting entries appears below. 1. Depreciation on the office equipment for the year is $11,500. 2. Employee salaries are paid twice a month, on the 22nd for salaries earned from the 1st through the 15th, and on the 7th of the following month for salaries earned from the 16th through the end of the month. Salaries earned from December 16 through December 31, 2021, were $1,500. 3. On October 1, 2021, Pastina borrowed $53,000 from a local bank and signed a note. The note requires interest to be paid annually on September 30 at 12%. The principal is due in 10 years. 4. On March 1, 2021, the company lent a supplier $23,000 and a note was signed requiring principal and interest at 8% to be paid on February 28, 2022. 5. On April 1, 2021, the company paid an insurance company $7,500 for a one-year fire insurance policy. The entire $7,500 was debited to prepaid insurance. 6. $800 of supplies remained on hand at December 31, 2021. 7. A customer paid Pastina $1,500 in December for 1,590 pounds of spaghetti to be delivered in January 2022. Pastina credited deferred sales revenue. 8. On December 1, 2021, $2,000 rent was paid to the owner of the building. The payment represented rent for December 2021 and January 2022, at $1,000 per month. The entire amount was debited to prepaid rent. Required: Prepare the necessary December 31, 2021, adjusting journal entries. b. Mr.Jack has BD.500, he can either go for a trip, pay university fees or purchase a laptop. Mr.Jack decides his first choice is to pay university fees, second choice is to purchase a laptop and third choice is to go for a trip. He decides to pay university fees. What is the opportunity cost of his decision? (2 marks) "Suppose X is normally distributed with a mean of u = 12 and a standard deviation of g = 1.4. Find the z-score corresponding to x = 15.5. Show your work." James is an agreeable and emotionally stable person. A _________, he inspires his employees to believe in the changes he wants to make to the organization. View Policies Current Attempt in Progress Crane Company made the following journal entry in late 2021 for rent on property it leases to Danford Corporation. Cash Unearned Rent Revenue $266250 O $11725 Security Technology Incorporated (STI) is a manufacturer of an electronic control system used in the manufacture of certain special- duty auto transmissions used primarily for police and military applications. The part sells for $43 per unit and STI had sales of 24,700 units in the current year, 2021. STI had no inventory on hand at the beginning of 2021 and is projecting sales of 28,100 units in 2022. STI is planning the same production level for 2022 as in 2021, 26,400 units. The variable manufacturing costs for STI are $14, and the variable selling costs are only $0.50 per unit. The fixed manufacturing costs are $211,200 per year, and the fixed selling costs are $640 per year. Required: 1. Prepare an income statement for each year usingfull costing. 2. Prepare an income statement for each year using variable costing. 3. Prepare a reconciliation of the difference each year in the operating income resulting from the full and variable costing methods. Investment decision making traditionally consists of two steps: investment banking and security analysis buying and selling risk and expected return security analysis and portfolio management On April 2, a corporation purchased for cash 7,000 shares of its own $12 par common stock at $29 a share. It sold 4,000 of the treasury shares at $32 a share on June 10, The remaining 3,000 shares were sand on November 10 for $25 a share. a. Journalize the entries to record the purchase (treasury stock is recorded at cost). If an amount box does not require an entry, leave it blank Apr. 2 b. Journalize the entries to record the sale of the stock. If an amount box does not require an entry, leave it blank Jun, 10 Nov. 10 T/F In the human heart, the muscular structure of the ventricles enables them to pump blood a greater distance than atria can find the area of the trapezoid 2.4cm 3.5cm 4.6cm Arrange the following in order of increasing radius: O2-, F- , Ne ,Rb+ ,Br- Rb+ < F- < Br- < O2- < Ne Br- < Rb+ < Ne < F- < O2- Ne < F- < O2- < Rb+ < Br- O2- < F- < Ne < Rb+ < Br- O2- < Br- < F- < Ne < Rb + Br- < F- < O2- < Ne < Rb+ F- < O2- < Ne < Br- < Rb + Rb+ < F- < Br- < Ne State laws that govern corporations: a) require that corporations solely maximize shareholder wealth. b) require managers to adopt a "greed is good" approach to corporate social responsibility. c) do not require managers to adopt a narrow view of corporate social responsibility. d) require managers to ignore corporate social responsibility. e) allow for taking multiple stakeholders into account. 8. Elements bond to make minerals or "chemical compounds". Describe in your own words the differences between the ionic, covalent, metallic and van der waal bonds. a. Relationship questions: 1. What common bonding characteristic is common to all 4 bonds? 2. Given each bonding type, identify which type of bonds are strong, weak, moderate, ect..... Which bonds would allow the mineral to scratch glass, peel apart express malleability and produce very soft type minerals? 3. 4. How does the type of mineral bond relate to mineral physical properties? jenny is a freshman in college who needs to declare her major. she is interested in history, psychology, medicine, and law. as she thinks about each of these potential majors, she considers both the positive and negative aspects of each, which cause her to go back and forth in her decision. jenny is experiencing a(n) conflict. and peter wants to go to law school because he believes being a lawyer will bring him prestige and a good income. however, he is not sure he should attend because he is very concerned about the hard work law school will involve and the money it will cost. peter is faced with a(n) conflict.