What is the solution of log, 729= 32

Answer:

El camión no puede llevar un contenedor lleno de cobre.

Step-by-step explanation:

El enunciado correcto es: Si tenemos un camión que puede transportar 10 toneladas, ¿puede llevar el camión un contenedor lleno de cobre? (Densidad del cobre: 8,94 gramos por centímetro cúbico) Dimensiones del contenedor: 1 metro, 1 metro y 2 metros.

Una tonelada equivale a 1000 kilogramos y un gramo por centímetro cúbico equivale a un kilogramo cúbico por metro cúbico. En primer lugar, calculamos la masa del contenedor a partir de la siguiente expresión:

\(m = \rho \cdot w\cdot h \cdot l\) (1)

Donde:

\(\rho\) - Densidad del cobre, medida en kilogramos por metro cúbico.

\(w\) - Anchura del contenedor, medido en metros.

\(h\) - Altura del contenedor, medida en metros.

\(l\) - Longitud del contenedor, medida en metros.

Si sabemos que \(\rho = 8940\,\frac{kg}{m^{3}}\), \(w = 2\,m\), \(h = 1\,m\) y \(l = 1\,m\), entonces la masa de contenedor es:

\(m = 17880\,kg\)

En otras palabras, el contenedor lleno de cobre tiene una masa de 17,880 toneladas, superior a la capacidad máxima que puede llevar el camión.

Por tanto, el camión no puede llevar un contenedor lleno de cobre.

The equation of the model is (b) 2x = 5

From the question, we have the following parameters that can be used in our computation:

Left = x x

Right hand side = 1 1 1 1 1

The above parameters mean that

Left = 2x

Right = 5

When represented as an equation, we have

2x = 5

Hence, the equation is (b)

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Answer:

https://brainly.com/question/11536615

Step-by-step explanation:

Step-by-step explanation:

\(-x < 3\\\\-x+x < 3+x\\\\0 < 3+x\\\\0-3 < 3+x-3\\\\-3 < x\\\\Thus,\ x > -3\\\\Hence,\ \\\\-x < 3\equiv x > -3\)

Answer:

b = -3

Step-by-step explanation:

1. Rearrange Terms

-3(3 + 6b) = 36 - 3b

-3(6b + 3) = 36 - 3b

2. Distribute

-3(6b + 3) = 36 - 3b

-18b - 9  = 36 - 3b

3. Rearrange Terms

-18b - 9  = 36 - 3b

-18b - 9 = -3b + 36

4. Add 9 to both sides

-18b - 9 = -3b + 36

-18b - 9 + 9 = -3b + 36 + 9

5. Simplify

-18b - 9 + 9 = -3b + 36 + 9

-18b = -3b + 45

6. Add 3b to both sides

-18b = -3b + 45

-18b +3b = -3b + 45 + 3b

7. Simplify

-15b = 45

8. Divide both sides by the same factor

-15b = 45

\(\frac{-15b}{-15}\) = \(\frac{45}{-15}\)

9. Simplify

b = -3

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Answer:

WWWWWW

Step-by-step explanation:

A cylinder with radius 1, height 1 in 1st octant of xyz-plane, center at origin, height from z=1 to z=2 and θ from 0 to π/2.

What is cylinder ?

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.

The cylindrical coordinate conditions can be expressed mathematically as:

1≤r≤2

0≤θ≤π/2

1≤z≤2

These conditions define a cylinder with radius 1 and height 1 located in the first octant of the xyz-plane. The cylinder has its center at the origin (0,0,0) and its height extends from z = 1 to z = 2. The angle θ ranges from 0 to π/2, meaning that the cylinder is restricted to the first quadrant in the xy-plane.

A cylinder with radius 1, height 1 in 1st octant of xyz-plane, center at origin, height from z=1 to z=2 and θ from 0 to π/2.

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Answer:

Total = ($3.86)n, but it ids not among the answer options.

Step-by-step explanation:

P would be equal to the price per pen set ($3.86) times the number of pen sets sold, n.

Total, P = ($3.86)n

I translated the paragraph into these options:

n = 3. 86P     No, n = P/3.86

P = 3. 86/n    No, P = 3.86n

n = 3. 86/P    No, n = P/3,86

P = 3. 86n.

Answer:

1.4, 0.75, 2.3, 1.67, 1.06, 3.14

Answer:

A) 99.5%

B) 42.1%

Step-by-step explanation:

A) Since the probability of 3 sixes is 0.5%, the probability of less than 3 sixes (that is, zero, one, or two sixes) is 100% - 0.5%, or 99.5%

B ) Since the probability of no sixes is 57.9%, the probability of at least 1 six is 100% - 57.9%, or 42.1%

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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The solution is the coordinate point (-1, 4)

Here we need to solve the system of equations in the diagram. Notice that the system is already graphed, the solutions are all the points where the graphs intercept.

Here we can see that there is one interception point so there is only one soluition, which is at the coordinate point (-1, 4), so that is the solution of the system.

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Answer:

y= (-1/2)x+(5/2)

Step-by-step explanation:

equation point slope

(y-y1)=m(x-x1)

y-3 = -1/2(x+1) add -3 to both sides and distribute

y=( -x/2) +(-1/2)+3 rewrite 3 as 6/2

y=(-1/2)x +(-1+6/2) solve

y= (-1/2)x+(5/2)

Answer:

(x+5)(x+2)

Step-by-step explanation:

x^2+7x+10

You need something that can go into 7x and 10.

2x5= 10 and 2+5=7

so, the answer would be (x+5)(x+2)

There is a 30.85% chance that someone will have to wait longer than 6 minutes.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

z = (raw score - mean) / standard deviation

So,

We can write,

Mean of 6 minutes and variance = 1 minutes, hence:

Standard deviation = √variance = √1 = 1 minutes

For > 6 minutes:

z = (6 - 5)/2 = 1/2=0.5

P(z > 0.5) = 1 - P(z < 0.5)

P(z > 0.5) = 1 - 0.6915

P(z > 0.5) = 0.3085

Therefore,

There is a 30.85% chance that someone will have to wait longer than 6 minutes.

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Peter watches 805 American movies and 460 Chinese movies.

Let x represent the number of American movies and y represent the number of Chinese movies and let z represent the total number of movies.

Since he watches 345 more American movies than Chinese movies. Hence:

x = y + 345

x - y = 345    (1)

Also:

x + y = z

x + y - z = 0  (2)

The ratio of Chinese movies to American movies is 4:7. Hence:

(4/11)z = y

-y + (4/11)z = 0   (3)

Solving equations 1, 2, and 3, simultaneously gives:

x = 805, y = 460 and z = 1265

Hence, Peter watches 805 American movies and 460 Chinese movies.

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Answer:

x=110

Step-by-step explanation:

You can set the equation up like this:

100=x-10

Make x by itself

x=110

The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).

In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)

(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).

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Therefore , the solution of the given problem of circle comes out to be since the numbers 1, 2, and 3 cannot be dispersed evenly around the circle with the necessary amount of gaps.

Each element of the aeroplanes creates a circle when viewed from this new angle and at a distance. (center). Its structure is composed of surfaces and undulating regions that contrast with one another. Additionally, it rotates equally within the centre in all directions. Every ultimate extent of a circular or restricted double sphere is the same as the sphere's "center."

Here,

One potential twin circle that we can create is as follows:

=> 1 2 1 3 2 5 4 5 4 3

Here, the first twin pair 1 is divided into three pairs, with the second twin pair 2 being divided into two pairs, the third twin pair being divided into three pairs, and so on. This satisfies the criteria of the puzzle, and we can verify that every twin pair appears precisely twice.

When the numbers are reversed, a second potential twin circle results:

=> 3 4 5 4 5 2 3 1 2 1

As a result, there is no such twin circle since the numbers 1, 2, and 3 cannot be dispersed evenly around the circle with the necessary amount of gaps.

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Answer: it takes 7 hours for Rocco to do the job alone.

Step-by-step explanation:

Working together, Rocco and Giulia can paint a room in 3 hours. It would have taken Rocco 7 hours to do the job alone.

Answer:

a. $6 =  ($500 + $2q) / q

b. 125

Average cost =  ($500 + $2q) / q

($500 + $2x 125) / 125 = $6

Step-by-step explanation:

Average cost = total cost / quantity produced

total cost = fixed cost + variable cost

Fixed costs are costs that do not vary with output. e.g. the cost of the logo

Variable costs are costs that vary with production e.g. cost of printing and cutting

Variable cost = $2 x quantity of parking ticket sold

let q =  quantity of parking ticket sold

variable cost = 2q

$6 = ($500 + $2q) / q

to determine the number of parking ticket to be sold for average cost to be $6, take the following steps

Multiply both sides of the equation by q

6q = 500 + 2q

collect like terms

6q - 2q = 500

4q = 500

q = 125

125 tickets have to be sold for average cost to the $125

to justify the answer, replace 125 in the first equation to confirm if $6 would gotten as the average cost

($500 + $2q) / q

($500 + $2x 125) / 125 = $6

The steps for  locating an external cause code in order, with the first step on top are given below.

The steps are as follows

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An equation showing that distance traveled on the first day plus the distance traveled on the second day is equal to 425 miles is;

425 = 320 + X

From online sources, this distance is about 425 miles from San Jose to Los Angeles and 320 miles from San Jose to Santa Barbara.

We want to find out the number of miles it is from Santa Barbara to Los Angeles.

Thus, using variables, we expect that we will get the number of miles from one city to the other.

1.) An equation showing that distance traveled on the first day plus the distance traveled on the second day is equal to 425 miles is;

425 = 320 + X

2.) An inverse operation do you need to perform on both sides to isolate x in the equation is;

425 = 320 + X

Subtract 320 from both sides.

3.) Solving the equation for X gives us;

X = 105

This means that the distance from Santa Barbra to Los Angeles it is 105 miles.

4) To confirm that our answer is correct, we add the two days distances.

320 + 105 = 425 miles

This is equal to the total distance from San Jose to Los Angeles

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Now we can see that our fraction is 33.333333333333/100, which means that 30/90 as a percentage is 33.3333%.

Answer:

First of all, remember that 100% is one whole thing.

Then.look at the problem, and see that 90 is three times 30.

-- 90 is 300% of an entire 30 .

-- To go from 30 to 90, you have to increase the 30 by 200% of itself.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cylinder A

Base Circumference=3 meters

\(2\pi r =3\\r=\frac{3}{2\pi}\)

Height=5 meters.

Volume \(=\pi r^2 h\)

\(=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3\)

Cylinder A

Base Circumference=5 meters

\(2\pi r =5\\r=\frac{5}{2\pi}\)

Height=3 meters.

Volume \(=\pi r^2 h\)

\(=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3\)

Cylinder A has a volume of \(3.58 m^3\), and Cylinder B has a volume of \(9.92 m^3.\)

Cylinder B has a greater volume.

Answer:

78

Step-by-step explanation:

102+x=180

x=180-102

x=78

Answer:

I THINK 64.8

Step-by-step explanation: