Each face of a cube is a square with a side length of 3 meters. What is the total area of all the faces of the cube?

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

Answer:

1 1/15

Step-by-step explanation:

64 minutes is the same thing as 64/60 minutes.

64 goes into 60 once. 64-60=4, so that would be your numerator. You would keep the denominator as 60, since it's still out of 60.

If you put those numbers together your fraction would be

1 and 4/60, if you want to simplify, 60/4=15, so 1 and 1/15 would be your fraction.

Hope this helped!

Answer:

The expected value and standard deviation of your total winnings are -$0.081 and $3 respectively.

Step-by-step explanation:

We are given that the game of European roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green.

Gamblers can place bets on red or black. If the ball lands on their color, they double their money. If it lands on another color, they lose their money.

Let the probability of the ball landing on red slot = \(\frac{18}{37}\)

The probability of the ball landing on black slot = \(\frac{18}{37}\)

The probability of the ball landing on green slot = \(\frac{1}{37}\)

Now, it is stated that Gambler can place bets only on the red or black slot, so;

The probability of winning the bet will be = \(\frac{18}{37}\)

and the probability of losing the bet will be = \(\frac{18}{37}+\frac{1}{37}\)

                                                                        = \(\frac{19}{37}\)

If the gambler wins he gets $3 and if he loses he will get -$3.

So, the expected value of gambler's total winnings is given by;

E(X) = \(\sum X \times P(X)\)

        = \(\$3 \times \frac{18}{37} + (-\$3 \times \frac{19}{37})\)

        = \(\$3 \times (-\frac{1}{37})\)  = -$0.081

Now, the standard deviation of gambler's total winnings is given by;

S.D.(X) = \(\sqrt{(\sum X^{2} \times P(X))-(\sum X \times P(X))^{2} }\)

So, \(E(X^{2})=\sum X^{2} \times P(X)\)

                 = \(\$3^{2} \times \frac{18}{37} + (-\$3^{2} \times \frac{19}{37})\)

                 = \(\$9 \times (\frac{18}{37}+\frac{19}{37})\)  = $9

Now, S.D.(X) = \(\sqrt{\$9-(-\$0.081)^{2} }\)

                     = \(\sqrt{8.993}\)  = $2.99 ≈ $3

Hence, the expected value and standard deviation of your total winnings are -$0.081 and $3 respectively.

The large jar has better value for money than the smaller one.

To see which jar is the best value for the money, we need to take the quotient between the cost of each jar and the size. The smaller that value gets, the best value we have.

For the first jar we have:

q = £4.10/540 = 0.0075

For the second jar we have:

q' = £2.81/360 = 0.0078

Then we can see that the large jar has the best value for money.

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Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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Answer:

Step-by-step explanation:

It looks like every time the coefficient increases by 3 while the exponent increases by 1.

\(\\45\\\sum 3(n+1)x^{n}\\n = 0\)

Notice it starts at zero so 3 is multiplied by (x+1) to make it start from 0

The exponent is simply n, because at the start is it zero \(x^0=1\), then 1, then 2, so on.

The upper limit is 45 because 45 - 0 = 45 terms

a. C = 5.00 + 0.75t

b. It will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we can use the following equation:

C = 5.00 + 0.75t

In this equation, the constant term 5.00 represents the flat fee for parking, and the term 0.75t represents the additional cost per hour based on the number of hours (t) the car is parked. By adding the flat fee to the hourly cost, we get the total parking cost for t hours.

(b) To find out how much it will cost Elaine to park her car for a full 24 hours, we can substitute t = 24 into the equation:

C = 5.00 + 0.75 * 24

Calculating this expression, we get:

C = 5.00 + 18.00

C = 23.00

Therefore, it will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

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Answer:

percentage of fractions

The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

Answer:D

Step-by-step explanation:

Atrophy

#1

\(\\ \rm\Rrightarrow \dfrac{WX}{UV}=\dfrac{HI}{FE}\)

\(\\ \rm\Rrightarrow \dfrac{WX}{16}=\dfrac{10}{8}\)

\(\\ \rm\Rrightarrow WX/2=10\)

\(\\ \rm\Rrightarrow WX=20\)

Again

#2

\(\\ \rm\Rrightarrow \dfrac{WX}{UT}=\dfrac{HI}{FG}\)

\(\\ \rm\Rrightarrow \dfrac{20}{20}=\dfrac{10}{FG}\)

\(\\ \rm\Rrightarrow FG=10\)

Answer:

WX = 20

FG = 10

Step-by-step explanation:

If EFGHI ~ VUTXW

then:

The only pair of sides that both have measures is EF and VU

EF = 8

VU = 16

VU/EF = 16/8 = 2

Therefore, VUTXW is enlargement of EFGHI by a scale factor of 2.

As HI = 10

⇒ WX = 10 × 2 = 20

As UT = 20

⇒ FG = 20 ÷ 2 = 10

Step-by-step explanation:

-3r(-14r + 2r - 20)

-3r(-12r - 20)

36r² + 60r

answer is A or 36r² + 60r

An equivalent expression is given by  (2 / x ^ 3) * sqrt (2)

We have the following expression

8 / x ^ 6

Rewriting we have

sqrt (8 / x ^ 6)

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.

sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))

(2 / (x * x * x)) sqrt (2)

(2 / x ^ 3) * sqrt (2)

An equivalent expression is given by

(2 / x ^ 3) * sqrt (2)

Therefore an equivalent expression is given by  (2 / x ^ 3) * sqrt (2).

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Answer: 16 - C

Step-by-step explanation:

So basicly, what it is asking is to solve this problem. I would like to call it a puzzle because there is a missing part that we have to find. Let's get this started!

Here is the equaiton: 2 x (8 - C)

First, we will multiply 8 by 2.

8 x 2 = 16

Now the equation is: 16 - C

We don't know what C is, so this equation is as done as we can do it.

Answer: 97

Step-by-step explanation:

2 and 3 form a supplementary angel, so the sum of the angles should equal 180

The ratio expression which are equivalent to the given ratios in simplest forms are as follows;

As evident in the task content; the given ratios are;

12 cups to 21 cups and 30 beetles out of 35 insects.

To express in simplest form; divide both ratios terms by the highest common factor in each case; so that we have;

12/3 : 21/3 ===> 4 : 7.

30/5 : 35/5 ====> 6 : 7.

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Firts, lets switch x and y

In order to find the inverse, we have to clear y.

To do this with an exponential function, we use a little trick:

Apply log to both sides:

We do this in order to use the property of logarithms that allow us to turn an exponent into a coefficient.

Mathematically speaking,

(Note: Remember that log refers to natural logarithm; a logarithm with base e)

Thus,

Clearing y to get the inverse,

Therefore,

Answer:

Step-by-step explanation:

B

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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Answer: 92/3 OR 30 2/3 ??

Step-by-step explanation:

The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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Para determinar la distancia recorrida por el balón, podemos usar el teorema de Pitágoras para calcular la distancia horizontal y vertical por separado y luego sumarlas.

La distancia horizontal entre Ana y el edificio es de 30 metros, mientras que la altura del edificio es de 10 metros. Dado que el balón alcanza el techo del edificio, la distancia vertical recorrida es igual a la altura del edificio, es decir, 10 metros.

Utilizando el teorema de Pitágoras, podemos calcular la distancia recorrida por el balón:

Distancia recorrida = √(Distancia horizontal^2 + Distancia vertical^2)

= √(30^2 + 10^2)

= √(900 + 100)

= √1000

≈ 31.62 metros

Por lo tanto, la distancia recorrida por el balón es aproximadamente 31.62 metros.

The volume of the figure is 54 cubic units

Since we are not given a figure, we can assume it as a rectangular prism:

Area of the rectangular prism = a²b

Given that a = 3 units and b = 6 units, the required volume is expressed as:

V = 3² * 6

V = 9 * 6

V = 54 cubic units

Hence the volume of the figure is 54 cubic units

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The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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Answer:

Micheal=7x

Wife=2(7x)

Step-by-step explanation: