A store is having a buy one get one 30% off sale. During the sale Christopher buys two pairs of shoes that each have a regular price of 48$. How much does Christopher pay for the two pairs of shoes?

Answers

Answer 1
Answer: He paid $28.08.

Related Questions

12.75 x 2 plus 13 x 3 plus 13.25 x 4 plus 13.5 x 3 PLEASE HELPPP QWICKKKK

Answers

Answer:

158

Step-by-step explanation:

B.


The number of flowers in Lito's garden is represented as follows.


Gumamela


Orchid

Answers

Answer:

5 :12 ; what is the ratio of the number of gumamela to the total number of flowers

5 : 7 ; what is the ratio of the number of gumamela to the number of orchids

7:5 ; what is the ratio of the number of orchids to the number of gumamela

12 : 5 ; what is the ratio of the total number of flowers to the number of gumamela

12 : 7 ; what is the ratio of the total number of flowers to the number of orchid

Step-by-step explanation:

Ratios of a to b ;is written as a : b

Ratio of b to a is written as b : a

The ratio of a to the sum of a and b equals ;

a : (a + b)

Number of orchids = 7

Number of gumamela = 5

Total number of flowers = 7 + 5 = 12

Ratio two quantities are compared. A number of times a number contains another. It makes value comparisons. When two components of the same unit are compared, it is possible to determine how much of one number is represented in the other. The quotient of two mathematical equations is shown.

5:12 And what's the proportion from gumamela the total flowers in the garden?7:12 And what's the proportion of orchids in the field to the total number of flowers?5:7 And what's the number of gumamela to orchids ratio?7:5 And what's the orchid-to-gumamela ratio?12:12 What is the proportion of gumamela or orchids in the field to the overall flowers?

Learn more:

brainly.com/question/22730473

Which pair shows equivalent expressions?
2(x+2) = 2x+1
02(x+2) = x+4
02(x+4)=x+2
02(x+4)= 2/x+8

Answers

Answer:

2(x+2) = x+4

Step-by-step explanation:

The pair that shows equivalent expressions is:

2(x+2) = x+4

This is because when we distribute the 2 to the terms inside the parentheses, we get:

2x + 4 = x + 4

By subtracting x from both sides of the equation, we get:

2x - x + 4 = 4

Simplifying further, we have:

x + 4 = 4

Therefore, the expression 2(x+2) is equivalent to x+4.

Hope this helps!

Juan earns a flat fee of $150 plus $20 for every hour he works decorating 5 points
a house. Which graph correctly displays Juan's earnings?

Answers

Answer: The 3rd one is the correct answer

Step-by-step explanation:

When two basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical order? Assume each player has a different name. P(shoot free throws in alphabetical order) - (Type an integer or a simplified fraction)

Answers

The probability that they shoot free throws in alphabetical order depends on the number of players participating. If there are only two players, the probability would be 1/2 or 0.5.

Since each player has a different name, there are only two possible orders in which they can shoot free throws: alphabetical order or reverse alphabetical order. Out of these two possibilities, only one is the desired outcome (alphabetical order). Therefore, the probability of shooting free throws in alphabetical order is 1 out of 2, which can be expressed as 1/2 or 0.5

To learn more about probability

brainly.com/question/31828911

#SPJ11

I NEED HELP!!! :((((

Answers

Answer:

it represents a polynomial

Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They are having trouble deciding who will do what task, so they came up with a method based on probability. Letitia grabs some spoons and puts the is a bag. Some have purple handles and others have green handles. Scott has to pick two of the spoons. If their handles are the same, Scott will wash. If they are different colors, he will dry. It turns out there are two purple spoons and three green ones. What is the probability of Scott washing the dishes?

Answers

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

[tex]P = 2[/tex]

[tex]G = 3[/tex]

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

[tex]P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)[/tex]

This gives:

[tex]P(G_1\ and\ G_2) = P(G_1) * P(G_2)[/tex]

[tex]P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}[/tex]

[tex]P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}[/tex]

[tex]P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}[/tex]

[tex]P(G_1\ and\ G_2) = \frac{3}{10}[/tex]

[tex]P(P_1\ and\ P_2) = P(P_1) * P(P_2)[/tex]

[tex]P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}[/tex]

[tex]P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}[/tex]

[tex]P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}[/tex]

[tex]P(P_1\ and\ P_2) = \frac{1}{10}[/tex]

Note that: 1 is subtracted because it is a probability without replacement

So, we have:

[tex]P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)[/tex]

[tex]P(Same) = \frac{3}{10} + \frac{1}{10}[/tex]

[tex]P(Same) = \frac{3+1}{10}[/tex]

[tex]P(Same) = \frac{4}{10}[/tex]

[tex]P(Same) = \frac{2}{5}[/tex]

Un conductor circula a 12 m/s. Acelera y pasa a circular a 20 m/s al cabo de 10 segundos. Calcula la aceleración del coche.

Answers

Answer:

Aceleracion = 0.8 m/s²

Step-by-step explanation:

Dados los siguientes datos;

Velocidad inicial = 12 m/s

Velocidad final = 20 m/s

Tiempo, t = 10 segundos

Para encontrar la aceleración;

Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.

Esto simplemente significa que la aceleración viene dada por la resta de la velocidad inicial de la velocidad final a lo largo del tiempo.

Por lo tanto, si restamos la velocidad inicial de la velocidad final y la dividimos por el tiempo, podemos calcular la aceleración de un objeto. Matemáticamente, la aceleración viene dada por la fórmula;

[tex] Aceleracion = \frac{final \; velocidad - inicial \; velocidad}{tiempo}[/tex]

Sustituyendo en la fórmula, tenemos;

[tex] Aceleracion = \frac{20 - 12}{10}[/tex]

[tex] Aceleracion = \frac{8}{10}[/tex]

Aceleracion = 0.8 m/s²

Solve 3(x - 2) < 18

Answers

Hi there!

[tex]\large\boxed{x < 8}[/tex]

3(x - 2) < 18

Begin by dividing both sides by 3:

3(x - 2)/3 < 18/3

x - 2 < 6

Add 2 to both sides:

x - 2 + 2 < 6 + 2

x < 8

x< 8

Hope this is the answer you are looing for.

graph the solution to the inequality on the number line. y<43.5

Answers

The solution to the inequality y < 43.5 can be graphed on a number line. The graph will show all the values of y that are less than 43.5.

To graph the solution to the inequality y < 43.5 on a number line, we start by marking the point 43.5 on the number line. Since the inequality is y < 43.5, we represent it with an open circle at 43.5 to indicate that 43.5 itself is not included in the solution.

Next, we shade the region to the left of the open circle. This shaded region represents all the values of y that are less than 43.5, including any negative values and values approaching negative infinity.

The resulting graph on the number line will show a shaded region to the left of the open circle at 43.5, indicating that all values of y in that region satisfy the inequality y < 43.5.

To know more about number line click here: brainly.com/question/32029748

#SPJ11

The table below shows the number of families living in the city of Sunnyvale from 1965 to 2000. Year (after 1900) Number of Families (thousand) 65 O 31.1 70 T 30.5 75 2 30.1 80 2 28.7 85 4 27.1 90 5 25.7 95 6 23.2 20.3 2000 100 7 2015+7 -22 According to the best-fit quadratic model, approximately how many families will live in Sunnyvale in 2015? A. 18,000 y=-0.19378x² -0.15x65x +31.0148 B. 16,000 C. 14,000 D. 10,000 TI-84 Plus CE NORMAL FLOAT AUTO REAL RADIAN MP L1 L2 L3 L5 L4 0 123H567 4 ‒‒‒‒‒‒ L1(1)=0 31.1 30.5 30.1 28.7 27.1 25.7 23.2 20.3 TI-84 Plus CE NORMAL FLOAT AUTO REAL RADIAN MP QuadReg y=ax2+bx+c a= -0.1937822868 b=-0.1526507689 c=31.01480998

Answers

The best-fit quadratic model is given by the equation y = -0.19378x² - 0.15265x + 31.0148, where x represents the year after 1900.

According to the best-fit quadratic model obtained from the data, approximately 14,000 families will live in Sunnyvale in 2015.

To estimate the number of families in 2015, we substitute x = 115 (2015 - 1900) into the quadratic model:

y = -0.19378(115)² - 0.15265(115) + 31.0148

≈ 14,000

Therefore, based on the best-fit quadratic model, it is estimated that approximately 14,000 families will live in Sunnyvale in 2015. The model is obtained by performing a quadratic regression using the given data points, and it provides a reasonable estimate for the number of families in 2015 based on the trend observed in the data.

To learn more about quadratic model, click here: brainly.com/question/17933246

#SPJ11

10 people can paint a building in 5 days. If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days?


A.7/5
B.5/7
C.7/10
D.10/7

Answers

Answer:

C

20 character minimum

Can someone please help

Answers

Answer:

First row of blanks: -3 -3

Second row of blanks: 2 2 3

Third row blank: 6

Step-by-step explanation:

x/2 + 3 = 6

The objective is to isolate the variable:

Subtract both sides by 3

x/2 = 3

Multiply both sides by 2

x = 6

Given m
n, find the value of x and y.
(37-18)
(8x+12)
m
(2X+18)
n

Answers

Answer:

Step-by-step explanation:

The two inside angles will sum to 180°.

The top to angles are equal.  

Think about this as what if both of the parallel lines were intersected by a perpendicuar line.  Every angle would be a right triangle 90°.  The inside angles will sum to 180° and the opposite angles are again equal.

 (2x + 18) + (8x + 12) = 180

          10x +   30   =   180

                   10x    =   150

                      x  =  15

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

             (3y - 18)  =  (8x + 12)       x = 15

            (3y - 18)  =  (8(15) + 12)

            (3y - 18)  =  (120 + 12)

            (3y - 18)  =  132

                   3y   =   132 + 18

                   3y   =  150

                     y   =  50

A project has the following projected outcomes in dollars: $240, $310, and $560. The probabilities of their outcomes are 20%, 60%, and 20% respectively. What is the expected value of these outcomes?

Answers

If the probabilities of their outcomes are 20%, 60%, and 20% respectively, the expected value of these outcomes is $346.

To calculate the expected value of the outcomes, we multiply each outcome by its corresponding probability and then sum up the results.

In this case, the projected outcomes are $240, $310, and $560, with probabilities of 20%, 60%, and 20% respectively.

To calculate the expected value, we use the formula:

Expected value = (Outcome 1 * Probability 1) + (Outcome 2 * Probability 2) + (Outcome 3 * Probability 3) + ...

Expected value = ($240 * 0.20) + ($310 * 0.60) + ($560 * 0.20)

Expected value = $48 + $186 + $112

Expected value = $346

The expected value represents the average value or the long-term average outcome we can expect from the given probabilities and outcomes. It provides a summary measure that helps in understanding the central tendency of the distribution of outcomes.

In this case, the expected value indicates that, on average, we can expect the project's outcome to be around $346.

To learn more about expected value click on,

https://brainly.com/question/31196935

#SPJ4

A number of days, d, of sunshine is not 28.

Answers

Answer:

D<28

Step-by-step explanation:

The required inequality for the given situation can be, d > 28 or d < 28

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, write an inequality for the situation.

Situation :-

A number of days, d, of sunshine is not 28.

Here, the number of days is said to be not equal to 28, we are not given if is less or more,

It can be less or more than 28 but not 28

So, here we get two situations,

Either, the number of days, d, of sunshine is less than 28, or the number of days, d, of sunshine is more than 28.

If we write these situations, mathematically, the inequalities we will have, are :-

1) The number of days, d, of sunshine is less than 28 :-

d < 28

2) The number of days, d, of sunshine is more than 28 :-

d > 28

Therefore, the two inequalities, are :- d < 28 or d > 28

Hence, the required inequality for the given situation can be, d > 28 or d < 28

Learn more about Inequalities, click;

https://brainly.com/question/30228778

#SPJ2

The complete question is :-

Write an inequality for the situation.

A number of days, d, of sunshine is not 28 .



Which rule can be used to show that the two triangles above are similar?
SSS

SAS

ASA

Answers

Answer:

Step-by-step explanation: 675 ssa SAS 342w

Three of the cylinders in an eight-cylinder car are defective and need to be replaced. If two cylinders are selected at random (without replacement), what is the probability that two defective cylinders are selected? If two cylinders are selected at random (without replacement), what is the probability that at least one defective cylinder is selected?

Answers

Probability of selecting two defective cylinders ≈ 0.1071. Probability of selecting at least one defective cylinder ≈ 0.6429

To calculate the probability of selecting two defective cylinders when two cylinders are chosen at random without replacement, we need to consider the total number of cylinders and the number of defective cylinders. Given: Total number of cylinders: 8, Number of defective cylinders: 3. Probability of selecting two defective cylinders: To calculate this probability, we first need to determine the total number of ways to choose two cylinders out of the eight available. This can be calculated using the combination formula (nCr). Total ways to choose two cylinders out of eight: C(8, 2) = 8! / (2! * (8-2)!) = 28.

Next, we need to determine the number of ways to choose two defective cylinders out of the three available. Number of ways to choose two defective cylinders out of three: C(3, 2) = 3! / (2! * (3-2)!) = 3. Therefore, the probability of selecting two defective cylinders is: P(Two defective cylinders) = Number of ways to choose two defective cylinders / Total ways to choose two cylinders = 3/28 ≈ 0.1071 (rounded to four decimal places). Probability of selecting at least one defective cylinder: To calculate this probability, we can consider the complementary event, which is the probability of selecting no defective cylinders. Then, we subtract this probability from 1 to obtain the probability of selecting at least one defective cylinder.

Number of ways to choose two non-defective cylinders out of five remaining non-defective cylinders: C(5, 2) = 5! / (2! * (5-2)!) = 10. Total ways to choose two cylinders out of eight: C(8, 2) = 28 (as calculated earlier). Number of ways to choose at least one defective cylinder = Total ways to choose two cylinders - Number of ways to choose two non-defective cylinders= 28 - 10 = 18. Therefore, the probability of selecting at least one defective cylinder is: P(At least one defective cylinder) = Number of ways to choose at least one defective cylinder / Total ways to choose two cylinders= 18/28 ≈ 0.6429 (rounded to four decimal places).

To learn more about probability, click here: brainly.com/question/16988487

#SPJ11

A student deposited money into a savings account. The following equation models the amount of money in the account, A(1), after t years. A(1)-1575 (1.045) a. State the initial amount of money deposited into the account. b. Determine the annual interest rate being paid on the account. C. Use the equation to find the amount of money, to the nearest dollar, in the account after 15 years. d. How many years, to the nearest whole year, will it take for the account to have at least $4000?

Answers

a. The initial amount of money deposited into the account is $1575.

b. The annual interest rate being paid on the account is 4.5%.

c. The amount of money in the account after 15 years is approximately $2946.27.

d. It will take approximately 20 years for the account to reach a balance of at least $4000.

To answer these questions, let's analyze the given equation:

A(1) = 1575 * (1.045)^t

a. The initial amount of money deposited into the account is $1575. This is evident from the equation, where A(1) represents the amount of money after 1 year.

b. To determine the annual interest rate, we can compare the given equation with the general formula for compound interest:

A = P * (1 + r)^t

Comparing the two equations, we can see that the interest rate in the given equation is 4.5% (0.045) since (1 + r) is equal to 1.045.

c. To find the amount of money in the account after 15 years, we can substitute t = 15 into the equation and calculate the result:

A(15) = 1575 * (1.045)^15 ≈ $2946.27 (rounded to the nearest dollar)

Therefore, after 15 years, the amount of money in the account will be approximately $2946.

d. To find the number of years it will take for the account to have at least $4000, we need to solve the equation for t. Let's set up the equation and solve for t:

4000 = 1575 * (1.045)^t

To solve this equation, we can take the logarithm of both sides (with base 1.045):

log(4000) = log(1575 * (1.045)^t)

Using logarithm properties, we can simplify the equation:

log(4000) = log(1575) + log((1.045)^t)

log(4000) = log(1575) + t * log(1.045)

Now, we can isolate t by subtracting log(1575) from both sides and then dividing by log(1.045):

t = (log(4000) - log(1575)) / log(1.045)

Calculating this expression, we find:

t ≈ 19.56 (rounded to two decimal places)

Therefore, it will take approximately 20 years (rounded to the nearest whole year) for the account to have at least $4000.

Learn more about "amount ":

https://brainly.com/question/25720319

#SPJ11

bill is trying to plan a meal to meet specific nutritional goals. he wants to prepare a meal containing rice, tofu, and peanuts that will provide 312 grams of carbohydrates, 328 grams of fat, and 180 grams of protein. he knows that each cup of rice provides 46 grams of carbohydrates, 0 grams of fat, and 2 grams of protein. each cup of tofu provides 6 grams of carbohydrates, 12 grams of fat, and 15 grams of protein. finally, each cup of peanuts provides 26 grams of carbohydrates, 70 grams of fat, and 28 grams of protein. how many cups of rice, tofu, and peanuts should he eat?

Answers

Bill should eat 4 cups of rice, 4 cups of tofu, and 4 cups of peanuts to meet his specific nutritional goals.

To determine how many cups of rice, tofu, and peanuts Bill should eat, we need to set up a system of equations based on the given nutritional information. Let's denote the number of cups of rice, tofu, and peanuts as x, y, and z respectively.

Based on the given information, we can establish the following equations

Carbohydrate equation: 46x + 6y + 26z = 312

Fat equation: 0x + 12y + 70z = 328

Protein equation: 2x + 15y + 28z = 180

We now have a system of three equations that we can solve to find the values of x, y, and z.

Using any appropriate method to solve the system of equations, we find

12y + 70z = 328

y = 328 - 70z/12

y = 27.33 - 5.833z

putting the value of y in both equation

2x + 15(27.33 - 5.833z ) + 28z = 180

2x + 28z + 409.95 - 87.45z = 180

(2x - 59.45z = -391.95)23

46x  - 1367.35z = - 9014.85

46x + 6(27.33 - 5.833z) + 26z = 312

46x + 163.98 - 34.998z + 26z = 312

46x - 8.998z = 148.02

equation both equation

- 8.998z + 1367.35z = 9014.85 + 148.02

z = 9162.87/1358.352

z ≈ 4

Solving equation we get

x = 4 cups of rice

y = 4 cups of tofu

z = 4 cups of peanuts

Therefore, Bill should eat 4 cups of rice, 4 cups of tofu, and 4 cups of peanuts to meet his nutritional goals.

To know more about specific click here :

https://brainly.com/question/24274472

#SPJ4

Describe this sampling method: "Survey the first 40 students who enter the main

office".

Answers

Answer:

Convenience sampling

Step-by-step explanation:

From the question, we understand that 40 of all students are to be surveyed. This implies that from the 41st till the last student will not be a part of the survey.

When sampling is done, taking a part of the whole population that is near or readily available; such sampling is referred to as convenience sampling.

The whole population, in this case are all students while the convenience being selected are the first 40 students.

PLEASE HELP ME ANSWER QUICK!! (Volume)

Answers

Answer:

V = 50 m³

Step-by-step explanation:

The formula for the volume of a pyramid of base area b and height h is V = (1/3)(b)(h).

Here the volume is V = (1/3)(5 m)²(6 m), or V = 50 m³


Just look at the picture

Answers

Answer:

I believe it is 60

Step-by-step explanation:

It's going to be COS and since you don't have and angle you are going to click [tex]cos^{-1}[/tex] and then type in 9/18 so it should look like this

[tex]cos^{-1}(9/18) = 60[/tex]

A function that increases proportionally to its current value. The larger the function gets, the faster it increases.

Answers

is it a science question

Write the equation of a line that passes through the points (-2,-9) and (2,-9).

Answers

Answer:

mhmm feels so good

Step-by-step explanation:

In OK, which arc is a major arc?
G
H
74
K
A GEI
C FJG
D IJF
B HIJ

Answers

Answer:

D

i thank

Step-by-step explanation:

Paulie’s pizza is considering expanding into the pizza truck business. They calculate that the costs of a pizza truck will be $1,420 per month. If they sell pizzas for $12 each, how many will they have to sell in a month to make a profit of at least $3,400

Answers

Answer:

283 1/3 pizzas

Step-by-step explanation:

I did 3,400 div 12 = 1,420

What's the number between 1.35 and 1.351

Answers

Answer: + 1000

Step-by-step explanation:

Help me please....... :(

Answers

Answer:

The Degree of the polynomial is 3

A.
f(x) = -4|x + 2| + 3
B.
f(x) = 4|x + 2| + 3
C.
f(x) = -4|x − 2| − 3
D.
f(x) = 4|x + 2| − 3

Answers

Answer:

D

Step-by-step explanation:

Other Questions
manipulation of antecedents is an efficient way of sustaining performance in the workplace. true of false Nataro, Incorporated, has sales of $666,000, costs of $328,000, depreciation expense of $72,000, interest expense of $46,000, a tax rate of 24 percent, and paid out $48,000 in cash dividends. What is the addition to retained earnings? (Do not round intermediate calculations.) Addition to retained earnings a planet with the same mass as earth orbiting at a distance of 1 au from a star with thirty six times the sun's mass. In Country Wise, households and firms want to keep a currency to deposit ratio, c, of 0.20, while banks want to keep a required deposits ratio, r, of 0.10. Banks in this country keep no excess reserves. The price level stands at 1, or 100%, and the money base is $40 billion.a. Calculate the money multiplier.b. What is the money supply?c. How much of the money supply will be held in the form of currency? In the form of bank deposits? A serving of ceral contain 13g of protein per box how many boxes need for 1.25tons? Problem 2 (10 points). Precisely state the Mean Value Theorem for Derivatives. Use this theorem to show that if a function f is differentiable on an interval (a, b), continuous on [a, b], and f'(x)= 0 for each ze [a,b], then f is constant on [a, b]. Build generating function for ar, the number of r selections from(a) Five red, five black and four white balls.(b) Five jelly beans, five licorice sticks, eight lollipops with at least one of each type of candy.(c) Unlimited amounts of pennies, nickels, dimes and quarters.(d) Six types of lightbulbs with an odd numbers of the first and second types. Extra Credit Inclusion/Exclusion Formula If 4 married couples are arranged in a row, find the probability that no husband sits next to his wife.Hint: Inclusion/exclusion formula. Compute the probability of the complementary event. Lourdes Corporation's 13% coupon rate, semiannual payment, $1,000 par value bonds, which mature in 30 years, are callable 6 years from today at $1,025. They sell at a price of $1,331.28, and the yield curve is flat. Assume that interest rates are expected to remain at their current level.a. What is the best estimate of these bonds' remaining life? Round your answer to the nearest whole number.yearsb. If Lourdes plans to raise additional capital and wants to use debt financing, what coupon rate would it have to set in order to issue new bonds at par? Problem 3 (12 points). Let f be a bounded function defined on an interval [a, b]. State the definitions of a partition of [a, b], the lower and upper Riemann sums off with respect to a partition of [a, b], the lower and upper Riemann sums of f on [a, b], and the Riemann integral of f on [a, b]. Company X and Company Y have just exchanged the payments of an existing interest rate swap and the swap agreement has four years remaining life. Through this swap, Overnight Index Swap(OIS) is exchanged for 3% interest rate. The OIS rates for the one-year, two-year, and three-year, and four years are 2%, 3%, 4%,and 5% . All rates are annually compounded and Payments are exchanged annually. The value of this swap as a percentage of the principal is :Select one:a.6.83 %b.6.38 %c.7.83%d.7.38% A steel wire 2.4 mm in diameter stretches by 0.025 % when a mass is suspended from it. The elastic modulus for steel is 2.0 1011 N/mPart AHow large is the mass?Express your answer to two significant figures and include the appropriate units Using the first equation of motion with constant acceleration the wind velocity isv = at = 2.18* 18= 39.24m/s. say the wind velocity is v and the plane velocity is u then applying cosine rule to calculate the magnitude of velocitythe x-component of v = 135 _ 39.24cos 45=107.5 m/s and the y-component of v = 39.24sin45=27.5 m/sThen using Pythagoras theorem you can get the magnitude of v ^2 = 107.5 ^2 + 27.5^2 , v= 111 m/s. calculate the kinetic energy of an electron ejected from a piece of sodium ( = 4.41x1019 j) that is illuminated with 295 nm light In bad economic times, commercial banks are allowed to hold a) common stocks b) junk bonds with a very high yield c) speculative real estates d) all of the above e) none of the above for more profits. when personal financial statements are prepared, a presentation of financial data that is intended to communicate an entity's economic resources or obligations on a specific date is referred to as which of the following? a statement of changes in net worth b statement of financial condition c statement of economic resources and obligations d statement of personal assets calculate the miss rate for a system that makes 1,000 data requests of which 700 were found in cache memory?a.0.43%b. 30% c.70% d.1.43% Modify problem #1 from Assignment 5 so that you develop a Boolean function relPrime(a, b) which takes two parameters a and b and returns True or False based on whether or not the numbers are relatively prime. Here is the IPO header for relPrime: # function: relPrime, test if two numbers are relatively prime # input: two integers # processing: a loop that tests possible divisors # output: a Boolean value that is True if the two integers input# are relatively prime, False otherwise Do not call the print or input functions within relPrime. All the printing and user input should be done by the main program. However, all the testing of relatively prime status should be done in the function, which is called from the main program. Your new program should be able to duplicate the same input and output as was done in the previous program, as below. User input is underlined. Enter the first number:14 nter the second number:25 14 and 25 are relatively prime. Enter the first number:14 Enter the second number:21 14 and 21 are not relatively prime. Enter the first number:7 Enter the second number:14 7 and 14 are not relatively prime. Herbalink manufacturing has annual sales of RM6,000,000 and maintains an average inventory level of RM1,000,000. The average accounts receivable balance outstanding is RM990,000. The average accounts payable balance outstanding is RM490,000 and its cost of goods sold is RM4,200,000. Assume there are 365 days a year, calculate: (a) Operating cycle. (5 marks) (b) Cash conversion cycle. (5 marks) Why is refrigeration a considered short-term method of storing bacteria? a.Refrigeration slows metabolism but does not stop it. b.Refrigeration damages nucleic acids. c.Refrigeration does not slow metabolism. d.Refrigeration dehydrates cells