LM=7a MN=12aLM=56IF M is between L and N; find the value of the variable first then find LN

Answer:

Slope is 2/3

Step-by-step explanation:

The  volume of rectangular prism is 90 unit³.

We can consider the 1 block = 1 unit.

Length of prism = 5 unit

width of prism = 6 unit

Height of prism = 3 unit

So, Volume of rectangular prism

= l w h

= 5 x 6 x 3

= 90 unit³

Thus, the volume of rectangular prism is 90 unit³.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ1

Answer: 127^9 so 8594754748609400000

Step-by-step explanation: i’m not sure but 4+6 (7x3)-3 = 127 127^9

Answer:

x-2 =0

x=2

now

putting the x value in p

we have,

p(2) = x2 + 2x +k

= 2×2 +2×2+k

= 4+4+k

= 8+k

so,

Either

8+k =0

k= - 8

Answer:

154.44

Step-by-step explanation:

What is 13% of 396?

Y is 13% of 396

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 13% * 396

Converting percent to decimal:

p = 13%/100 = 0.13

Y = 0.13 * 396  

Y = 51.48

Now multiply by 3 (amount of continuous years)

51.48 * 3

=154.44

Hope it helps!

Answer:

D.

Step-by-step explanation:

End behavior : Left up and right down

Even degree with negative leading coefficient

Answer:

It is irrational, & cannot be written as a fraction.

Step-by-step explanation:

\(\sqrt{2}\) will give you a very odd number when plugged into the calculator.

1.414213562

With our knowledge of rational vs. irrational numbers, we know that means \(\sqrt{2}\) has to be irrational because it is not a whole number, not an integer, & cannot be condensed into a fraction.

Any time you see a number that isn't a perfect square in a square root, it might be best to guess it is irrational.

Always plug it into a calculator (if possible) to check!

Hope this helps. :)

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

1 =41

2 =85

3 =95

4 =85

5 =36

6 =49

7 =106

hope this helps

In the given case, each loaf of bread contains 25/18 cups of flour.

To find how many cups of flour are in each loaf of bread, we need to divide the total amount of flour by the number of loaves.

First, let's convert the mixed numbers to improper fractions:

\(2 2/3 cups = 8/3 cups\)

\(1 1/2 cups = 3/2 cups\)

Next, we can add the two fractions to find the total amount of flour:

8/3 cups + 3/2 cups = (16/6 + 9/6) cups = 25/6 cups

So, the recipe requires 25/6 cups of flour to make 3 loaves of bread.

To find the amount of flour in each loaf, we divide 25/6 cups by 3:

(25/6 cups) / 3 = 25/18 cups

Therefore, each loaf of bread contains 25/18 cups of flour.

Alternatively, we could simplify the mixed numbers at the beginning:

2 2/3 cups = 8/3 cups

1 1/2 cups = 6/4 cups

Then we can add the fractions:

8/3 cups + 6/4 cups = (32/12 + 18/12) cups = 50/12 cups

Finally, we can divide by 3 to find the amount of flour in each loaf:

(50/12 cups) / 3 = 25/18 cups

So the answer is the same.

To know more about amount here

https://brainly.com/question/25109150

#SPJ1

Based on the information in the triangle, the measure of ZDEB is 54°.

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.

The sum of the measures of the angles of a triangle is 180 degrees. Therefore,

mZAEC + m/AED + mZDEB = 180

(2x+4) + (5x+1) + mZDEB = 180

7x+5 = 180

7x = 175

x = 25

mZDEB = 2x+4 = 2(25)+4 = 54 degrees

Hence, the answer is 54

Learn more about triangles on

https://brainly.com/question/17335144

#SPJ1

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

Read more on vertical asymptotes and functions here: brainly.com/question/28184937

#SPJ1

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.

At Mega Mart, a 5kg cake costs $2500.

Therefore, the price per kilogram for this cake is:

Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.

At the same time, a 2kg chocolate cake costs $1200.

So, the price per kilogram for this cake is:

Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.

Now, let's calculate the total price for 10kg of cake from each option:

Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.

Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.

Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.

Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.

Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.

For similar question on cheapest price.

https://brainly.com/question/1153322  

#SPJ8

What is 888 x - 666? = -591408

\(Hello\) \(There!\)

Ummmmm... I could be wrong?

I think it is...

-591408

Hopefully, this helps you!!

\(AnimeVines\)

Given the numbers: 13.5 , 13.5% , -26/2 , 0

At first convert all numbers to the same format, i will convert all to decimal numbers

so, the numbers will be:

13.5 , 0.135 , -13 , 0

Note: 13.5% = 13.5/100 = 0.135

so, ascending the numbers from the least to the greatest

-13

0

0.135

13.5

so, the order will be :

-26/2 , 0 , 13.5% , 13.5

Answer:

≈ 11695 yd^2

The answer d

Step-by-step explanation:

Given:

r = 61 yd

\(\pi = \frac{22}{7} \)

Find: a - ?

\(a = \pi \times {r}^{2} = \frac{22}{7} \times {61}^{2} ≈ 11695\)

Answer:

B is the answer

Step-by-step explanation:

hope it helps

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

Answer:

26 units

Step-by-step explanation:

make a proportion: so sides correspond alongside eachother.

so, 15/10 =24/Y, i know you need to solve for x, but you have to find the other blank length.

now cross multiply, 10*24=15*Y

240=15Y

240/15=

Y= 16

now add Y to the length 10 to get X. So you get 10+16=26

Answer: 6

Step-by-step explanation:

Answer:

The  probability is  \(P(X < 20 ) = 0.68807\)

Step-by-step explanation:

From the question we are told that

     The proportion of  total part-time workforce is  \(\r p = 0.221\)

     The  sample  size is  n  =  80  

Generally the mean is mathematically represented as

         \(\mu = n* p\)

          \(\mu = 0.221 * 80\)

        \(\mu = 17.68\)

The  proportion of not part - time   workforce

      \(q = 1- p\)

=>   \(q = 1- 0.221\)

=>   \(q = 0.779\)

The  standard deviation is mathematically represented as

     \(\sigma = \sqrt{ 80 * 0.221 * 0.779 }\)

     \(\sigma = 3.711\)

Now  applying the normal approximation,

Then the  probability that fewer than 20 people from this sample were between the ages of 25 and 34 is mathematically represented as

     \(P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < \frac{ 20 - 17.68 }{ 3.711} )\)

Applying  continuity correction

     \(P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < \frac{ (20-0.5 ) - 17.68 }{ 3.711} )\)

       \(P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < \frac{ (20-0.5 ) - 17.68 }{ 3.711} )\)

      \(P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < 0.4904 )\)

Generally

      \(\frac{X - \mu }{ \sigma } = Z ( The \ standardized \ value \ of \ X )\)

So  

    \(P(X < 20 ) = P( Z< 0.4904 )\)

From the z-table  

        \(P( Z< 0.4904 ) = 0.68807\)

The probability is  

         \(P(X < 20 ) = 0.68807\)

A description that could explain what happened to the price of the share stock include the following: C. the price decreased by 90% and then increased by 75%.

In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

Based on the information provided, we can logically deduce that an algebraic expression that represents the situation is given by:

Algebraic expression = 1.75(0.1d)

Therefore, we have:

Rate of change (increase) = 1 + 0.75 = 75%.

Rate of change (decrease) = 1 - 0.1 = 90%.

Read more on percentage here: brainly.com/question/11360390

#SPJ1

Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

9514 1404 393

Answer:

  π/360 radians/minute

Step-by-step explanation:

The angular velocity is ...

  (2π radians)/(12 h) = (π rad)/(6× 60 min) = π/360 rad/min

According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

For more details regarding population, visit:

https://brainly.com/question/15889243

#SPJ1

Answer:

Media: 167.88 cm

Mediana:  167.6 cm

Modo: 166.67 cm

Step-by-step explanation:

Hola!

La variable de interés es:

X: estatura de un alumno de noveno año de educación básica.

1)

Primero debes ordenar los datos de menor a mayor y contar cuantos de ellos corresponden dentro de cada intervalo determinado, por ejemplo, el primer intervalo es:

[160;164)

Los intervalos están definidos con el límite inferior cerrado, es decir que incluye el valor de dicho límite, y el límite inferior abierto, es decir, que ese valor no está incluido en el intervalo.

160,160,160,161,162,163,164,165,165,165,165,166,167,167,167,167,168,168,168,169,170, 170, 170,171,173,173,173,175,175,176.

f(1)= 6 (seis valores de estatura corresponden a este intervalo)

La sumatoria de todas las frecuencias absolutas debe dar por resultado el total de observaciones n= 30

Para el segundo intervalo [164;168)

f(2)= 10

2)

hi representa la frecuencia relativa simple y esta se calcula como fi/n

Por ejemplo para el primer intervalo:

h(1)= f(1)/n= 6/30= 0.20

Esta indica la proporción de que las alturas estén entre 160 y 164 cm.

En porcentaje se expresa como hi*100, para el primer intervalo: 0.20*100)= 20%

Para el segundo intervalo h(2)= f(2)/n= 10/30= 0.33 y su porcentaje es 33%

Como indican la proporción de cada categoría de la distribución, la sumatoria de las frecuencias relativas simples de todas las categorías debe ser 1.

3)

Como lo dice su nombre, esta frecuencia es acumulada y se calcula como la sumatoria de las frecuencias absolutas simples, para el primer intervalo, dado que previo a él no hay "nada" es igual a la frecuencia absoluta simple:

F(1)= f(1)

Para el segundo intervalo, es la frecuencia absoluta simple del primer intervalo más la frecuencia relativa simple del segundo intervalo:

F(2)= f(1) + f(2)= 6 + 10= 16

4)

Esta frecuencia también representa la sumatoria de las frecuencias relativas simples.

H(1)= h(1)= 0.20 como previo al primer intervalo no existe distribución definida, la frecuencia relativa acumulada es igual a la frecuencia relativa simple.

Para el segundo intervalo la frecuencia relativa acumulada es:

H(2)= h(1)+h(2)?= 0.20+0.33= 0.57

Adjunta a la respuesta encontrarás la tabla completa.

5)

Como no específica medidas de tendencia central requeridas, voy a calcular la media, mediana y modo utilizando la tabla.

Media

X[barra]= (∑x'fi)/n= ∑x'*hi

Dónde x' representa la marca de clase de cada intervalo. Para calcular la marca de clase de los intervalos debes realizar un promedio entre sus límites y su valor siempre debe encontrarse dentro de los límites del intervalo. Si no es así, has cometido un error de cálculos:

(Limite inferior + Limite superior)/2

1. [160;164)  x₁'= (160+164)/2= 162

2. [164;168)  x₂'= 166

3. [168;172)  x₃'= 170

4. [172;176)  x₄'= 174

Una vez que calculaste las marcas de clase, puedes calcular la media:

X[barra]= ∑x'*hi= (162*0.20)+(166*0.33)+(170*0.27)+(174*0.20)= 167.88 cm

Mediana:

La mediana es el valor de la variable que divide a la muestra en dos (50%-50%).

Para poder calcularla primero debes identificar su posición, en este tipo de presentación, debes identificar el intervalo en el que se encuentra incluida la mediana.

Para muestras pares, la posición de la mediana se calcula como:

PosMe= n/2= 30/2= 15

Esto significa que la mediana corresponde a la 15va observación de la muestra, observando la columna de las frecuencias absolutas (simples o acumuladas) debes identificar cual es el intervalo de la mediana:

Al segundo intervalo se corresponde una frecuencia acumulada de 16, lo que significa que la posición de la mediana está incluida en este intervalo:

[164;168)

Entonces puedes calcular la mediana como:

\(Me= Li + c [\frac{PosMe-F_{(i-1)}}{f_i} ]\)

Dónde

Li: es el límite inferior del intervalo de mediana.

c: es la amplitud del intervalo

F₍i₋₁₎: frecuencia absoluta acumulada del intervalo anterior al intervalo mediana

fi: frecuencia absoluta del intervalo mediana

\(Me= 164 + 4 [\frac{15-6}{10} ]= 167.6\)

Me= 167.6 cm, como puedes notar, el valor de la mediana se encuentra entre los límites del intervalo.

Modo o Moda:

El modo o la moda de una distribución corresponde al valor más observado, es decir, al valor con mayor frecuencia absoluta simple. Al igual que la media, para calcular el modo primero debes identificar el intervalo que lo contiene. En este caso, el intervalo modal será aquel con la mayor frecuencia absoluta simple.

[164;168)

La fórmula para calcular el modo es:

\(Md= Li + c[\frac{(f_{max}-f_{ant})}{(f_{max}-f_{ant})+(f_{max}-f_{post})} ]\)

Li: es el límite inferior del intervalo modal

c: es la amplitud del intervalo

\(f_{max}\): es la frecuencia absoluta simple del intervalo modal.

\(f_{ant}\): es la frecuencia absoluta simple del intervalo anterior al intervalo modal.

\(f_{post}\): es la frecuencia absoluta simple del intervalo posterior al intervalo modal.

\(Md= 164 + 4[\frac{10-6)}{(10-6)+(10-8)} ]= 164+4[\frac{4}{4+2} ]= 166.67\)

Md= 166.67 cm

¡Espero que tengas un buen día!

The measure of angle A is 200 degrees

it is important to note that the sum of interior angles of a polygon is expressed as;

(n-2)180

Then,

3(180) = 540 degrees

Equate all the angles to 540 degrees

We have;

80 + -x + 90 + 45 - x + -3x + 125 = 540

collect like terms

-3x = 540 - 340

Make 'x' the subject

x = 200/-3

x = -66. 7

But angle A = -3x = -3(-66.7)

Multiply

A = 200 degrees

Learn about polygons at: https://brainly.com/question/1592456

#SPJ1

Answer:

  D

Step-by-step explanation:

The vector (1, -3) is assumed to mean that P is translated right 1 unit and down 3 units. The only shape to the right and below P is shape D.

Answer:

It would cost Jeremy $66 for 6 CDs

Step-by-step explanation:

3 CDs for $33

3(2)=6

$33(2)=$66