Quadrilateral ABCD ~ quadrilateral JKLM. What is the
length of LM?

Answer:

90-24=76°

Step-by-step explanation:

____________________

The resulting function is (f-g)(x) = 5 · x⁴ + 3 · x² + 10.

The resulting function is (f • g) (x) = 3 · (3 · x⁵ - 5 · x⁴ + 3 · x² - 15)⁵ + 6 · (3 · x⁵ - 5 · x⁴ + 3 · x² -15)² - 5.  

Let be [tex]f(x)[/tex] and [tex]g(x)[/tex] polynomial functions, the subtraction between between the two functions implies the subtraction of similar terms. If we know that [tex]f(x) = 3\cdot x^{5}+6\cdot x^{2}-5[/tex] and [tex]g(x) = 3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15[/tex], then the subtraction between the two functions:

[tex](f-g)(x) = (3\cdot x^{5}+6\cdot x^{2}-5)-(3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15)[/tex]

[tex](f-g)(x) = 5\cdot x^{4}+3\cdot x^{2}+10[/tex]

The resulting function is (f-g)(x) = 5 · x⁴ + 3 · x² + 10. [tex]\blacksquare[/tex]

The composition between two functions, the independent variable of the former function by the latter function. If we know that [tex]f(x) = 3\cdot x^{5}+6\cdot x^{2}-5[/tex] and [tex]g(x) = 3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15[/tex], then the composition between the two functions:

[tex]f\,\circ\,g\,(x) = 3\cdot (3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15)^{5}+6\cdot (3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15)^{2}-5[/tex]

(f • g) (x) = 3 · (3 · x⁵ - 5 · x⁴ + 3 · x² - 15)⁵ + 6 · (3 · x⁵ - 5 · x⁴ + 3 · x² -15)² - 5.  [tex]\blacksquare[/tex]

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Answer:

1/20=5%

Step-by-step explanation:

Answer:

A=102 and B=0

Step-by-step explanation:

Sub values for X and Y into equation, put into your calculator and you will get the correct answer.

Answer:

a) 102

b) 0

Step-by-step explanation:

A:

B:

Apply law of cosines

[tex]\\ \rm\longmapsto c^2=a^2+b^2-2abcos\gamma[/tex]

[tex]\\ \rm\longmapsto c^2=150^2+35^2-2(150)(35)cos110[/tex]

[tex]\\ \rm\longmapsto c^2=22500+1225-10500(-0.34)[/tex]

[tex]\\ \rm\longmapsto c^2=23725+3570[/tex]

[tex]\\ \rm\longmapsto c^2=27295[/tex]

[tex]\\ \rm\longmapsto c=165.2yd[/tex]

Answer:

165 yd (nearest yard)

Step-by-step explanation:

To calculate the distance from the ball to the center of the green, we need to use the cosine rule:

[tex]c^2=a^2+b^2-2ab \cos (C)[/tex]

where:

Therefore, for this triangle:

Substituting these values into the cosine rule formula:

[tex]\implies c^2=35^2+150^2-2(35)(150) \cos (110\textdegree)[/tex]

[tex]\implies c^2=23725-10500\cos(110\textdegree)[/tex]

[tex]\implies c=\sqrt{23725-10500 \cos(110\textdegree)}[/tex]

[tex]\implies c=165.2761674...[/tex]

[tex]\implies c = 165 \textsf{ yd (nearest yard)}[/tex]

Step-by-step explanation:

a.

(ax + b)² = 0

√( (ax + b)²  )= √0

ax + b = 0

dont know the rest

Answer:

y=-3/2x-3

Step-by-step explanation:

For perpendicular lines,the product of their slopes is -1 this m1•m2=-1

For the given line 3y=7+2x

y=7/3+⅔x,the slope is ⅔

For the unknown line since the y-intercept is -3 then y=mx-3

compare the slopes of both lines

m•⅔=-1

m=-3/2

hence the the perpendicular line has the equation

y=-3/2x-3

Answer:

9

27

Step-by-step explanation:

the scale factor of area is 3² = 9

the scale factor of volume is 3³ = 27

Answer:

1/2 then 4Ts

Step-by-step explanationexplanation: good luck

Using the normal distribution and the central limit theorem, it is found that:

[tex]P(246 \leq \bar{x} \leq 260) = 0.5693[/tex]

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability of a sample mean between 246 and 260 is the p-value of Z when X = 260 subtracted by the p-value of Z when X = 246, hence:

X = 260:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{260 - 250}{8.3333}[/tex]

[tex]Z = 1.2[/tex]

[tex]Z = 1.2[/tex] has a p-value of 0.8849.

X = 246:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{246 - 250}{8.3333}[/tex]

[tex]Z = -0.48[/tex]

[tex]Z = -0.48[/tex] has a p-value of 0.3156.

0.8849 - 0.3156 = 0.5693, hence:

[tex]P(246 \leq \bar{x} \leq 260) = 0.5693[/tex]

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Answer:

44% is shaded

Step-by-step explanation:

Having carefully counted, I find 44 of the squares shaded. I'm sure of it.

Answer:

Yes, the other is correct. The answer is 44%

Step-by-step explanation:

Answer:

  E, F, A, ED, BC, EF, ABC, EDF

Step-by-step explanation:

The angle and side markings show which segments and angles are congruent.

We can make a table of corresponding pairs based on the number of marks:

marks, angle, side

__

This can help us fill in the question numbers:

Answer:

Sell, 10.80

Step-by-step explanation:

PLATO Users be like

Answer:

-12(y-4x)

Step-by-step explanation:

-12y+48x=-12(y-4x)

Veremos que la distancia total recorrida es de 20 metros, y el desplazamiento es de 0 metros.

Definimos el desplazamiento como la diferencia entre la posición final y la inicial. En este caso sabemos que la persona comienza en su casa, luego va al colmado, y luego regresa a su casa.

Entonces la posicion inicial y la final son la misma, por lo que concluimos que el desplazamiento es 0.

La distancia total recorrida será igual a dos veces la distancia entre la casa y el colmado.

Esta distancia es 10 metros, entonces la distancia recorrida es:

distancia = 2*10m = 20m

Sí quieres saber mas sobre desplazamientos, puedes leer:

https://brainly.com/question/4931057

Answer:

Maggie = 15 hours

Ryan = 30 hours

Step-by-step explanation:

let x - time it takes Ryan to do the job alone.

x-15 - time it takes Maggie to do the job alone

[tex] \frac{10}{x} + \frac{10}{x - 15} = 1 \\ \\ \frac{10(x - 5) + 10x}{x(x - 15)} = 1[/tex]

[tex]10x - 150 + 10x = x {}^{2} - 15x \\ \\ 20x - 150 = x {}^{2} - 15x \\ \\ x {}^{2} - 15x - 20x + 150 = 0 \\ \\ x {}^{2} - 35x + 150 = 0 \\ \\ (x - 30)(x - 5) = 0 \\ \\ x = 30 \: and \: x - 15 = 15[/tex]

x = 5 --> not valid because x-15 will be NEGATIVE

Therfore,

Maggie can do the job in 15 hours.

Ryan can do the job in 30 hours.

Answer:

5 packages of Takis

Step-by-step explanation:

The total number packages that were placed on the shelf were 16 packages. The total number of packages of Flamas that were placed on the shelf were 9 packages. So to identify the number of packages of Takis the clerk put on the shelf, we simply do

16-9=5

Step-by-step explanation:

all points on the x axis have a y value of 0.

so, we need to find all points (x, 0) with a distance of 16 to (4, -8).

the distance to a point is the Hypotenuse of the right-angled triangle with the coordinate differences as legs.

and so Pythagoras applies :

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

so, in our case we have

16² = (4-x)² + (-8 - 0)²

256 = 16 - 8x + x² + 64 = x² - 8x + 80

x² - 8x - 176 = 0

if we have no other idea of factorization the general solution of such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -8

c = -176

x = (8 ± sqrt((-8)² - 4×1×-176))/(2×1) =

= (8 ± sqrt(64 + 704))/2 = (8 ± sqrt(768))/2 =

= (8 ± sqrt(256×3))/2 = (8 ± 16×sqrt(3))/2 =

= 4 ± 8×sqrt(3)

x1 = 4 + 8×sqrt(3) = 17.85640646...

x2 = 4 - 8×sqrt(3) = -9.856406461...

so, the points on the x axis that are 16 units apart from (4, -8) are

(x1, 0) and (x2, 0)

I am not sure in what format you need the answer.

please fill in for x1 and x2 from above what you need.

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The y - intercept of the shown line on the graph is -4

Y - intercept is the " y - coordinate of the point on line when it cuts the y - axis "

Answer:

7/10 is the fraction that Represents the shaded boxes.

I think it will help you.

Answer:

7/10

Step-by-step explanation:

Answer:

weight dog trhee monts ago is 28.i pounds

Step-by-step explanation:

Percentage:

20% × 36 =

Weight dog trhee months ago:

Step-by-step explanation:

The first one is [tex]6 \frac{1}{2} [/tex]

2nd is [tex]6 \frac{5}{8} [/tex]

3rd is [tex]6 \frac{3}{4} [/tex]

Answer: 41/145

Step-by-step explanation:

Freshmen/Total students = 41/145

Answer:

  3/2

Step-by-step explanation:

The composition of transformations has you dilate the line by a factor of 1/2, then by a factor of 3. Then the line is rotated about the origin.

The scale factor of the result will be the product of the dilation factors:

  (3)(1/2) = 3/2

The scale factor of the transformation is 3/2.

Answer:

3/2

Step-by-step explanation:

The composition of transformations has you dilate the line by a factor of 1/2, then by a factor of 3. Then the line is rotated about the origin.

The scale factor of the result will be the product of the dilation factors:

 (3)(1/2) = 3/2

The scale factor of the transformation is 3/2.

Answer:

Step-by-step explanation:

[tex]\frac{6a}{a^2-6a+9}}+\frac{9}{a^2-2a-3)}\\\\=\frac{6a}{(a-3)^2}+\frac{9}{(a-3)(a+1)}\\\\\\[/tex]

[tex]=\frac{6a(a+1)+9(a-3)}{(a-3)^2(a+1)}\\\\=\frac{6a^2+6a+9a-27}{(a-3)^2(a+1)}\\[/tex]

[tex]=\frac{6a^2+15a-27}{(a-3)^2(a+1)}\\\\=\frac{3(2a^2+5a-9)}{(a-3)^2(a+1)}[/tex]

Answer:

C

Step-by-step explanation:

2 in. x 1 1/4 in. x 1 1/2 in. = 2/1 in. x 5/4 in. x 3/2 in. = 30/8 cubic inches =                 3 6/8 = 3 3/4 cubic inches