La distancia de la Tierra a la Luna es de doscientos treinta y ocho mil novecientas millas. Escribe la distancia en forma estándar y forma expandida.​

Answer:

no photooooooooooooooooooooooooooooo

Answer:

no photttttoooooooo

Step-by-step explanation:

Answer:

$108

Step-by-step explanation:

3X9= 27square foot. Then you multiply 27 by 4, which equals $108

Answer:

258ft squared is possibly the answer

48=3ײ-4

(4-)-2=6

48+6=54

Answer:

.58 cm^3

Step-by-step explanation:

The formula for finding the volume of a cube is V = a^3 where a is a side length.

If you input the given value into the formula, you get .58 cm^3

Please mark as brainliest ;)

As we have proved that if p is an odd prime, then the product 1² · 3² · ... · (p-2)² is congruent to -1 modulo p.

To prove the statement, let's consider the product P = 1² · 3² · ... · (p-2)². Our goal is to show that P ≡ -1 (mod p), which means P leaves a remainder of -1 when divided by p.

First, we note that p is an odd prime. This means that p can be expressed as p = 2k + 1, where k is an integer. We can rewrite P using this representation:

P = (1 · 1) · (3 · 3) · ... · ((2k - 1) · (2k - 1)).

Now, let's examine P more closely. We can write each factor in P as:

(2i - 1) · (2k - (2i - 1)).

Expanding this expression, we get:

(2i - 1) · (2k - 2i + 1) = 4ik - 2i + 2ki - k - 2i + 1 = 4ik - 4i + 2ki - k + 1.

We can simplify this further as:

(4ik - 4i + 2ki - k + 1) = (4ik - 4i) + (2ki - k + 1) = 4i(k - 1) + k(2i - 1) + 1.

Now, let's consider the expression (2i - 1) modulo p. Since p = 2k + 1, we can rewrite (2i - 1) as:

(2i - 1) ≡ 2i - 1 (mod p).

Substituting this back into our expression for P, we have:

P ≡ (4i(k - 1) + k(2i - 1) + 1) (mod p).

Now, let's consider the sum (4i(k - 1) + k(2i - 1)) modulo p. We can write this as:

(4i(k - 1) + k(2i - 1)) ≡ 4ik - 4i + 2ki - k ≡ -3i + k(i - 1) (mod p).

Since p = 2k + 1, we have -3i + k(i - 1) ≡ -3i + (p - 1)(i - 1) (mod p).

Expanding (p - 1)(i - 1), we get:

-3i + (p - 1)(i - 1) = -3i + pi - p - i + 1 = -4i - p + pi + 1.

Now, let's consider the expression (-4i - p + pi + 1) modulo p. We can rewrite this as:

(-4i - p + pi + 1) ≡ -4i - p (mod p).

Since -p ≡ 0 (mod p), we have -4i - p ≡ -4i (mod p).

Therefore, we have shown that:

P ≡ -4i (mod p).

Now, let's consider the range of i. We know that i takes on values from 1 to (p - 2)/2, inclusive. Since p is an odd prime, (p - 2)/2 is an integer. Therefore, we can rewrite P as:

P ≡ -4(1 + 2 + 3 + ... + [(p - 2)/2]) (mod p).

The sum 1 + 2 + 3 + ... + n can be expressed as n(n + 1)/2. Substituting this into our expression for P, we get:

P ≡ -2[(p - 2)/2] [(p - 2)/2 + 1] (mod p).

Simplifying further, we have:

P ≡ -[(p - 2)/2] [(p - 2)/2 + 1] (mod p).

Since p is an odd prime, we can rewrite p - 2 as 2k - 1. Substituting this into our expression, we get:

P ≡ -[k] [k + 1] (mod p).

Now, let's expand the product [k] [k + 1]:

[k] [k + 1] = k² + k.

Substituting this back into our expression for P, we have:

P ≡ -(k² + k) (mod p).

Now, recall that p = 2k + 1. Substituting this into our expression, we get:

P ≡ -(k² + k) ≡ -(k² + k + 1) + 1 ≡ -(k² + 2k + 1) + 1 ≡ -[(k + 1)²] + 1 (mod p).

Since p = 2k + 1, we have (k + 1)² ≡ -1 (mod p). Substituting this back into our expression, we finally have:

P ≡ -[(k + 1)²] + 1 ≡ -1 + 1 ≡ 0 ≡ -1 (mod p).

To know more about prime here

https://brainly.com/question/30646191

#SPJ4

Answer:

The area of the sector of the circle is approximately

Step-by-step explanation:

The given parameters of the circle having a shaded sector are;

The radius of the circle, r = 4 meters

The measure of the arc bounding the sector = 135°

The area of a sector of a circle, 'A', is given as follows;

\(A = \dfrac{\theta}{360 ^{\circ}} \times \pi \times r^2\)

Therefore, the area, 'A' of the given sector of the circle, is given as follows;

\(A = \dfrac{135 ^{\circ}}{360 ^{\circ}} \times \pi \times (4\ cm)^2 \approx 18.85 \ cm^2\)

The area of the sector of the circle, with radius 4 cm and bounded by an arc, A ≈ 18.82 cm².

We need to decide whether the given equations are always or never true for values of x .The given equations are ,

solve out for x,

\(\longrightarrow x -x =12+1\\ \)

\(\longrightarrow 0 =13\\ \)

This can never be true. Hence the equation is never true for any values of x.

solve out for x,

\(\longrightarrow x -x =\dfrac{3}{4}+\dfrac{3}{4}\\ \)

\(\longrightarrow 0=\dfrac{3}{2}\)

This can never be true. hence the equation is never true for any values of x.

solve out for x,

\(\longrightarrow 4x +12=8x+12-4x\\\)

\(\longrightarrow 4x -8x +4x =12-12\\\)

\(\longrightarrow 0=0\)

hence this equation is true for all values of x.

solve out for x,

\(\longrightarrow 2x -x -x =8+8\\ \)

\(\longrightarrow 0=0 \)

hence the equation is true for all values of x.

solve out for x,

\(\longrightarrow 2x +10+3x =5x-25\\ \)

\(\longrightarrow 5x -5x =-25-10\\\)

\(\longrightarrow 0 =-35\)

This can never be true. hence the equation is never true for any values of x.

and we are done!

Answer:

The area is 452.3

Step-by-step explanation:

A= 3.14r2

A= 3.14 times 12~2

A= 452.2

Answer:

2 1/2 divided by 1 5/8 equals to 1.53846153846

Answer:

CD=66

Step-by-step explanation:

12x-30=6x+18

6x=48

x=8

12(8)-30=66

CD=66

100% humidity is very common in many coastal zones, near rivers or   lakes or in your bathroom when you take a shower, and possibly in  Alaska as well as UAE.

Relative humidity:

                             Relative humidity is the ratio of the current absolute humidity to the highest possible absolute humidity (which depends on the current air temperature). A reading of 100 % relative humidity means that the air is totally saturated with water vapor and cannot hold any more, creating the possibility of rain. This doesn't mean that the relative humidity must be 100 percent in order for it to rain — it must be 100 percent where the clouds are forming, but the relative humidity near the ground could be much less.

0% humidity means there is an absence of water vapor in the air.

To learn more about Relative humidity visit:

https://brainly.com/question/22069910

#SPJ4

We want maximum profit, which is the max value of y.

We basically want for which x value, we have y as the maximum.

First,

let's take the derivative of y:

Maximum is when the derivative is equal to 0. So, the x-value when derivative is 0:

To get max profit, the widgets should be sold at $50.50

Answer:

The equivalent will be:

\(\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)\)

Therefore, option 'a' is true.

Step-by-step explanation:

Given the expression

\(\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}\)

Let us solve the expression step by step to get the equivalent

\(\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}\)

as

\(\sqrt[7]{x^2}=\left(x^2\right)^{\frac{1}{7}}\)      ∵ \(\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}\)

\(\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0\)

\(=x^{2\cdot \frac{1}{7}}\)

\(=x^{\frac{2}{7}}\)

also

\(\sqrt[5]{y^3}=\left(y^3\right)^{\frac{1}{5}}\)         ∵  \(\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}\)

\(\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0\)

\(=y^{3\cdot \frac{1}{5}}\)

\(=y^{\frac{3}{5}}\)

so the expression becomes

\(\frac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\)

\(=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)\)            ∵ \(\:\frac{1}{y^{\frac{3}{5}}}=y^{-\frac{3}{5}}\)

Thus, the equivalent will be:

\(\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)\)

Therefore, option 'a' is true.

The current density vector Jz that would produce the given vector potential A in cylindrical coordinates is Jz = -k/c r sin(θ).  

The current density required to produce the given vector potential A = kΦ is J_φ = k (∂Φ/∂ρ), where Φ is the magnetic flux.

First, let's define the cylindrical coordinates:

r = r(theta, z)

θ = θ(theta, z)

z = z

Now, we need to find the vector potential A = k Φ. Using the right-hand rule, we can determine the direction of the vector potential as the direction of the positive z-axis.

The curl of A in cylindrical coordinates is given by:

curl(A) = (1/r)(∂/∂r)(rA) + (1/rsin(θ))(∂/∂θ)(Asin(θ)) + (1/sin(θ))(∂/∂z)(Acos(θ))

Since we want A = k Φ, we have kA = -1/r(∂A/∂r) - 1/rsin(θ)(∂A/∂θ) - 1/sin(θ)(∂A/∂z).

Substituting the expression for A, we get:

k(1/r)(∂A/∂r) - 1/rsin(θ)(∂A/∂θ) - 1/sin(θ)(∂A/∂z) = -1

Now, we need to find the divergence of the magnetic field B, which is given by:

div(B) = (1/r)(∂B/∂r) + (1/rsin(θ))(∂B/∂θ) + (1/sin(θ))(∂B/∂z)

Using the Biot-Savart law, we can find the magnetic field B in cylindrical coordinates. The magnetic field is given by:

B = (1/4π)∫(J(r',θ',z') x r') x r dA'

where J(r',θ',z') is the current density vector.

We can substitute the expression for J in cylindrical coordinates and simplify the integral to obtain:

B = (1/4π)∫[(-1/r)(∫z' J(r',θ') dθ')r') - (1/sin(θ'))(∫z' J(r',θ') dz')] x r dA'

Now, we need to find the current density vector J. Using the Maxwell-Ampere law, we can find the curl of the electric field E in vacuum, which is given by:

curl(E) = -∂B/∂t

Substituting the expression for E in cylindrical coordinates, we get:

curl(E) = -∂B/∂t = (1/c) ∂(Jz)/∂t

where c is the speed of light in vacuum.

Now, we can substitute these expressions for B and curl(E) into the equation for the magnetic field and simplify to obtain:

k(1/r)(∂A/∂r) - 1/rsin(θ)(∂A/∂θ) - 1/sin(θ)(∂A/∂z) = -1

(1/c)(∂(Jz)/∂t) - 1/rsin(θ)(∂A/∂θ) - 1/sin(θ)(∂A/∂z) = -1

Solving these two equations simultaneously, we can find the constants k and Jz. Once we have these values, we can substitute them into the expression for the vector potential A to obtain:

A = k r sin(θ) + Jz/c

Therefore, the current density vector Jz that would produce the given vector potential A in cylindrical coordinates is Jz = -k/c r sin(θ).  

Learn more about current density

https://brainly.com/question/31785329

#SPJ4

Given the floating-point number system (b, s, m, M) = (10, 4, -99, 99), let's find the values of the given expressions:

(f) The floating representation of 1.0 in this system:

The floating-point representation of 1.0 in this system is 1.000 × 10^0.

(g) The largest number that is less than 1.0:

The largest number that is less than 1.0 in this system is 0.9999 × 10^0.

(h) The gap length to the left of 1.0:

The gap length to the left of 1.0 in this system is 0.0001 × 10^0.

(i) The smallest number greater than 1.0:

The smallest number greater than 1.0 in this system is 1.0001 × 10^0.

(j) The gap length to the right of 1.0:

The gap length to the right of 1.0 in this system is 0.0001 × 10^0.

(k) The ratio of (the gap length to the right of 1.0) to (the gap length to the left of 1.0):

The ratio of the gap length to the right of 1.0 to the gap length to the left of 1.0 is 1.

(l) The smallest positive integer that cannot be represented in this system:

In this system, the smallest positive integer that cannot be represented is 10000 (10^4), which is outside the specified range.

(m) The smallest representable integer that is greater than the smallest nonrepresentable positive integer:

Since the smallest nonrepresentable positive integer is 10000 (10^4), the smallest representable integer greater than that is 10001 (10^4 + 1).

(n) The length of the gap in which the smallest nonrepresentable integer lies:

The length of the gap in which the smallest nonrepresentable integer lies is 1.

(o) The number of nonrepresentable integers in the gap in part (n):

In this case, there is only one nonrepresentable integer, which is the smallest nonrepresentable integer itself.

(p) The largest number:

The largest number in this system is 0.9999 × 10^99.

(q) The gap length to the left of the largest number:

The gap length to the left of the largest number is 0.0001 × 10^99.

(r) The number of non representable integers in the gap immediately to the left of the largest number:

Since the range specified for this system does not include any non representable integers, the number of non representable integers in the gap is zero.

Learn more about floating point here:

https://brainly.com/question/31691346

#SPJ11

Answer:

i had to do this like a few weeks ago but i only remember that the parallel ones have the same slope

Step-by-step explanation:

Step-by-step explanation:

19.y+5=-12

y=-12-5

y=-17

x-y=10

x+17=10

x=10-17

x=-7

20.3x-5y=10

3*-7-5*-17=10

-21+85=10

64=10

10x+6y=-36

10*-7+6*-17=-36

-70+102=-36

32=-36

Answer:

a-x

b-/

Step-by-step explanation:

64/4x4=64

625x25/25=625

Answer:

Step-by-step explanation:

1.Collect pairs of data where a relationship is suspected.

2.Draw a graph with the independent variable on the horizontal axis and the dependent variable on the vertical axis. ...

3.Look at the pattern of points to see if a relationship is obvious. ...

4.Divide points on the graph into four quadrants.

100 is the answerrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

given expression → x/y

we know,

x = 3 and y = 27

according to expression

3/27 → 1/9

therefore 1/9 is the answer.

Hope this answer helps you!

Answer:

1/9

Step-by-step explanation:

1. First, let's plug in the values of x and y.

2. Next, we have to simplify and find the greatest common factor between 3 and 27.

3. As you can see, 3 is the GCF of 3 and 27, so we divide both 3 and 27 by 3.

Therefore, the answer is 1/9!

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Step-by-step explanation:

you can follow the same procedure for others

The derivative function for equations 1 and 2 will be

y' = -1/ [2√(1-x²)] and y' = 3/[2(1 + x²)] respectively

Here we need to find the derivative of

\(y = tan^{-1}\sqrt{\frac{1-x}{1+x} }\)

Let x = cos2z

Hence we get

\(y = tan^{-1}\sqrt{\frac{1-cos2z}{1+cos2z} }\)

\(or, y = tan^{-1}\sqrt{\frac{2sin^{2}z}{2cos^{2}z} }\)

\(or, y = tan^{-1}(tanz)\)

or, y = z

Hence dy/dx = dz/dx

We know that

x = cos2z

or, 2z = cos⁻¹x

or, 2 dz/dx = -1/√(1-x²)

Hence dy/dx = -1/ [2√(1-x²)]

The second equation is

\(y = 3tan^{-1}[x-\sqrt{1+x^{2}} ]\)

Let x = cotz

Hence we get

\(y = 3tan^{-1}[cotz-\sqrt{1+cot^{2}z} ]\)

\(y = 3tan^{-1}[cotz-\sqrt{cosec^{2}z} ]\)

or, y = 3tan⁻¹ [cotz - cosecz]

or, y = 3tan⁻¹ [cosz/sinx - 1/sinz]

or, y = 3tan⁻¹ [(cosz - 1)/sinz]

or, y = 3tan⁻¹ [-2sin²(z/2)/{2sin(z/2) cos(z/2)}]

or, y = 3tan⁻¹ [-sin(z/2)/cos(z/2)]

or, y = 3tan⁻¹ [-tan{z/2)]

or, y = 3tan⁻¹ [tan{-z/2)]

or, y = -3z/2

or, dy/dz = -3/2 dz/dx

We have

x = cotz

or, z = cot⁻¹z

or, dz/dx = -1/(1 + x²)

Hence we get

dy/dx = 3/[2(1 + x²)]

To learn more about differentiation visit

https://brainly.com/question/27986235

#SPJ4

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

Read more about multipliers:

brainly.com/question/15883095

Answer:

y = 4x + 5

Step-by-step explanation:

The equation of a straight line line is;

y = mx + b

where m is the slope and b is the y-intercept

We start by calculating the slope value by using the slope equation

m = (y2-y1)/(x2-x1)

m = (9+ 7)/(1+ 3) = 16/4 = 4

So we have the equation as;

y = 4x + b

to get the value of b, we substitute the coordinates of any of the two points

let us use (1,9)

9 = 4(1) + b

b = 9-4

b = 5

so, we have the equation of the line as;

y = 4x + 5

Answer:

4800 ft²

or

5280 ft²

Step-by-step explanation:

The deck is 48 inches by 4 inches in the drawing.

The scale is 60:1, so the real dimensions are 60 times greater than the drawing dimensions.

Let's calculate the real dimensions and also convert to feet from inches.

length = 48 in. × 60 × (1 ft)/(12 in.) = 240 ft

width = 4 in. × 60 × (1 ft)/(12 in.) = 20 ft

The real dimensions of the deck are 240 ft by 20 ft.

area = length × width

area = 240 ft × 20 ft = 4800 ft²

If the correct drawing width is really 4 2/5 in., then the real area is:

48 in. × 4 2/5 in. × 60 × 60 / 144 ft²/in.² = 5280 ft²

A correlation measures the strength, direction, and form of the relationship between two variables, x and y. The strength of the relationship refers to how closely the variables are related, with values ranging from -1 to 1.

A value of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other decreases. A value of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other also increases. A value of 0 indicates no correlation, meaning that the variables are not related.

The direction of the relationship refers to whether the variables move in the same direction or opposite directions. A positive correlation indicates that the variables move in the same direction, meaning that as one variable increases, so does the other.

A negative correlation indicates that the variables move in opposite directions, meaning that as one variable increases, the other decreases.

The form of the relationship refers to the pattern of the relationship between the variables. The form can be linear, meaning that the relationship between the variables can be described by a straight line, or nonlinear, meaning that the relationship between the variables cannot be described by a straight line.

Nonlinear relationships can take various forms, such as quadratic, logarithmic, or exponential. The form of the relationship can have important implications for interpreting the correlation coefficient and making predictions based on the relationship between the variables.

To learn more about correlation click here:

brainly.com/question/29985055

#SPJ11

The expression that shows how many beads are on the necklace in all is:

b + 12.

An expression in mathematics is a combination of numbers, variables, and/or operators that represents a mathematical relationship or quantity. It may contain constants, variables, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. Expressions are often used to describe or represent real-world situations, and can be simplified, evaluated, or manipulated using algebraic rules and properties.

In the given question,

To write an expression that shows how many beads are on Josie's necklace in all after adding b more beads:

Start with the initial number of beads on the necklace, which is 12.

To this, add the number of beads Josie added, which is b.

Combine the two terms to form the final expression: 12 + b.

Therefore, the expression that shows how many beads are on Josie's necklace in all after adding b more beads is 12 + b.

To know more about expressions and equations, visit:

https://brainly.com/question/11537309

#SPJ1