Consider a rectangular box B that has a bottom and sides but no top and has minimal surface area among all boxes with fixed volume V = 2. Find the dimensions of B.

The shopkeeper buys 15 shirts for $240.

The difference in price between the item's purchase price and par value is the discount. The cost price of a product can be reduced or subtracted in the form of a discount. When customers receive discounts on various goods through consumer transactions, it is primarily used. Using percentages, the discount rate is provided.

Given that a store has a sale where all shirts are sold at a discount of 20%. If the regular price of the shirts is $20.

We have to determine the number of shirts purchased for $240.

The regular price of a shirt = 20

If 20% discount is given then

20 x (20/100)

= 20 x (1/5)

= 20/5

= 4

Discount = 4

After giving a discount the price of the shirt is

20 – 4

= 16

The cost price of each shirt is 16

1 shirt = $16

? = $240

= 240/16

= 15

Therefore the shopkeeper buys 15 shirts for $240

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Answer:

181, 115, 90

Step-by-step explanation:

x = first aircraft, then

second aircraft = x - 66

third = x - 91

and total = x + x - 66 + x -91 = 3x - 157 = 386

3x = 543

x = 181

There are two factors.

The design described in this scenario has two factors: advertisement and price point. Each factor has multiple levels: there are four advertisements and five price points.

In experimental design terminology, a factor is an independent variable that is manipulated by the experimenter, and a level is a specific value or category of that factor. The goal of the experiment is to determine how each factor and its levels affect the response variable (e.g., the number of product purchases).

Therefore, in this experiment, the factor of advertisement has four levels (the four advertisements) and the factor of price point has five levels (the five distinct price points). Overall, there are two factors (advertisement and price point)

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We can write the product (y - x)(y - x) as -

x² + y² - 2xy.

Normal distribution is a function that represents the distribution of many random variables as a symmetrical bell-shaped graph. Mathematically -
\($f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}\)

Given is to find the product of -

(y - x)(y - x)

We can write the product as -

(y - x)(y - x)

y(y - x) - x(y - x)

y² - xy - xy + x²

x² + y² - 2xy

Therefore, we can write the product (y - x)(y - x) as -

x² + y² - 2xy.

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Answer:

a) Using a calculator, the exact value of 13822 x 62314 is 861,038,108.

b) To check if the answer in part a) makes sense using approximations to 1 significant figure, we round 13822 to the nearest 10,000 and 62314 to the nearest 60,000.

Approximation: 10,000 x 60,000 = 600,000,000

The approximation gives us 600 million, which is in the same order of magnitude as the exact answer of 861,038,108. Therefore, the answer in part a) appears to make sense based on the approximation.

Step-by-step explanation:

Answer:

31 divided by 11 in my smartest choice

Step-by-step explanation:

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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the probability that a patient will need to be treated for a broken bone during ski season is 19.5%.

The probability that a patient will need to be treated for a broken bone during ski season can be calculated by dividing the number of patients treated for a broken bone during ski season by the total number of patients treated during ski season.

Therefore, using the data in the table, the probability that a patient will need to be treated for a broken bone during ski season is:

Probability of a broken bone during ski season = Number of patients with broken bone during ski season / Total number of patients during ski

season  = 18 / 92 = 0.195 or 19.5%

Therefore, the probability that a patient will need to be treated for a broken bone during ski season is 19.5%.

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Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

Answer:

for the top its the first one

Step-by-step explanation:

a function is when a number has one corresponding number (some say exponent or other words)

A relation may or may not represent a function

The relations that represent a function are: (a) first ordered pair and (c) the linear graph

For an ordered pair to be a function, each x values must not point to several y-values

For a graph to represent a function, it must pass the vertical line test.

Based on the above highlights, the relations that represent a function are:

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Answer:

\(\frac{n}{2}+9=-15\)  

I hope this helps!

The interest rate would be = 8.9%

An interest rate is defined as the percentage of money that should be received by an individual for a particular period of time following an investment made.

The principal amount (p) = £9400

The simple interest = £11,907 - 9400 = 2507

The time given(T) = 3 years

The rate (R)= x%

The rate can be calculated from the formula of simple interest = P×T×R/100

make R the subject of formula;

R = 100×SI/P×T

R = 100× 2507/9400×3

R = 250700/28200

R = 8.89%

R= 8.9%

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Answer: x=5

Good luck :)

Answer:

follow me on the gram (andrewa223) also the answer is a

Step-by-step explanation:

Answer:

B. h=4.2

Step-by-step explanation:

h + 0.9 = 5.1

To get the h by itself, we can subtract 0.9 from both sides of the equation.

h = 4.2

This will leave us with h=4.2

Answer:

the answer is B

Step-by-step explanation:

h+0.9=5.1

4.2

+

0.9=5.1

Answer: A

Step-by-step explanation: using y= kx+ b, k is the slope which is 1/4 and b is the y intercept which is -5

Answer:

A

Step-by-step explanation:

using the standard form y = mx + b

m = slope

b = y intercept

so..

y = 1/4x + (-5)

which is also y = \(\frac{1}{4} x\) - 5

Answer:

2 2/4 because i just know the answer

Answer:

I think it's 12+2h

Step-by-step explanation:

In algebra, when you are solving a question where you are expressing a phrase into a mathematical expression. There needs to be few things in the mind of yours:-

-Whenever there is a use of “and” we must think of addition.

-Twice, thrice etc. means 2 times 3 times respectively. Or mathematically 2x or 3x.

Here, it is given that “the sum of 12” and “twice a number h”.This means that the addition of the number “12” and two times an unknown variable ‘h’.Which can be easily written in the algebraic form as:- 12+2h

Note: You need to remember one thing while solving these types of sums that, you must not in any case forget the chronology in which the processes are done. Suppose, if a number ‘w’ is divided with number ‘e’ then you must divide ‘w’ with ‘e’ only and not ‘e’ with ‘w’ as this would make your answer completely wrong. Therefore, always remember the order.

Hint:

Add first part to twice the unknown variable mentioned.Here, the question has given us the following statement, the sum of 12 and twice a number h. The first step we need to do is divide the phrase into 2 parts. 1st is the “sum of 12” and 2nd is the “twice a number h”. Solving the first part, we can say that it is asking us to sum or add 12 with some other number. Whereas, the second part is asking us to multiply an unknown variable 2 times. And these two separate lines are connected by the word “and” which when combined with both the two statements say to sum 12 and 2h. Therefore the answer to the above question is 12+2h.

Answer:

a. m DCB =<DAB=120 opposite angle of the parallelogram are equal

again

BP=PD diagonal bisect it

3x+7=-x+17

3x+x=17-7

4x=10

x=10/4=5/2

b. BD =3x+7-x+17=3×5/2+7-5/2+17=2×5/2+24=5+24=29

Answer:

41 1/7

Step-by-step explanation:

5 1/7 x 8

Convert 5 1/7 to improper fraction

5 1/7 = 36/7

Multiply.

36  x  8

----      --

7   x    1

288/7

Simplify.

41 1/7

---

hope it helps

Answer:

Are you looking for -6.2?

Step-by-step explanation:

If not let me know!

Answer:

irrational number

Step-by-step explanation:

because it has no repeating pattern

The number x = 90.790170  is rational number as it is a finite decimal and can be represented as a fraction.

Given data:

Let the number be represented as x.

Now, the value of x = 90.790170

Rational numbers can be positive, negative, or zero, and they can be written in the form a/b, where a is the numerator and b is the denominator, with b not equal to zero.

The number 90.790170 is a rational number. A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero.

Since 90.790170 is a finite decimal (it doesn't repeat or go on forever), it can be represented as a fraction of two integers.

Hence, 90.790170 is rational.

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Answer:

B)

{(0,0), (1, 1), (2, 2), (3, 3) }

Step-by-step explanation:

B)

{(0,0), (1, 1), (2, 2), (3, 3) }contains four points on the same line.

a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{x_1+x_2}{2}_\dfrac{y_1+y_2}{2}\right)\)

\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{10-4}{2},\dfrac{-3-9}{2}\right)\)

\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{6}{2},\dfrac{-12}{2}\right)\)

\(\\ \rm\hookrightarrow (x,y)=(3,-6)\)

Answer:

(3, - 6 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

Here (x₁, y₁ ) = (10, - 3) and (x₂, y₂ ) = (- 4, - 9) , then

midpoint = ( \(\frac{10-4}{2}\) , \(\frac{-3-9}{2}\) ) = ( \(\frac{6}{2}\) , \(\frac{-12}{2}\) ) = (3, - 6 )

The speed of the Peregrine Falcon converted from miles per hour to km/day is 9347 km/day

From the question, we are to convert the speed of the Peregrine falcon in miles per hour to km/day

From the given information,

The Peregrine Falcon can fly at a top speed of 242 miles per hour

First, convert 242 miles to km

NOTE: 1 mile = 1.60934 km

Thus,

242 miles = 1.60934 × 242 km

= 389.46028 km

Now, we will convert 1 hour to day

1 hour = 1/24 day

Therefore,

242 miles per hour = 389.46028 km / (1/24) day

= 389.46028 × 24 km / day

= 9347.04671 km/day

≈ 9347 km/day

Hence, the speed is 9347 km/day

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