Solve the equation
—3x +1+ 10x = x +4
X=1/2
X=5/6
X=12
X=18

Answer:

Domain: (−∞,∞)

Range: (−∞,∞)

Step-by-step explanation:

trust me

Answer:

P = 0.4688 = 46.88%

The probability that a randomly selected high school student plays organized​ sports is 0.4688.

Step-by-step explanation:

We are given that a survey of 900 randomly selected high school students determined that 422 play organized sports.

​(a) What is the probability that a randomly selected high school student plays organized​ sports?

We know that the probability of an event is given by

P = Number of desired outcomes/total number of outcomes

For the given case, the desired outcomes are those students who play organized sports and the total number of outcomes are 900 randomly selected high school students who were surveyed.

So the probabilty is

P = 422/900

P = 0.4688

P = 46.88%

​(b) Interpret this probability

There is a 46.88% chance of randomly selecting a high school student who plays organized sports or in other words, if we randomly choose a high school student then there is a 46.88% probability that the selected student plays organized sports.

Hello!

Answer:

(x + 1).

Step-by-step explanation:

Begin by using the rational root theorem to find possible factors of this equation.

We get the following:

±1, ±3, ±1/2, ± 3/2

We can use synthetic division to check numbers to see if they are a factor of the equation. After checking the possible numbers, -1 was found to produce a remainder of 0 when calculated:

-1 | 2    1     -4     -3

  +      -2     1       3

    2    -1     -3      0

Therefore, x = -1 is a possible root of this equation. Writing this as a factor would become:

x = -1

x + 1 = 0

(x + 1) is the factor.

I hope this helped you!

Answer:

  783.7 square units

Step-by-step explanation:

The formula for the surface area of a cylinder is ...

  A = 2πr^2 + 2πrh = 2πr(r +h)

Using the given numbers, the area is ...

  A = 2(3.14)(6)(6 +14.8) = 783.7 . . . square units

Answer:

About 783.7 square cm.

Step-by-step explanation:

The formula for the surface area of a cylinder is (2 * pi *r^2) + (2 * pi * r * h).

(2 * 3.14 * 6^2) + (2 * 3.14 * 6 * 14.8) = (2 * 3.14 * 36) + (2 * 3.14 * 6 * 14.8) = 6.28 * 36 + 6.28 * 88.8 = 226.08 + 557.664 = 783.744.

So, the surface area of the cylinder is about 783.7 square centimetres.

Hope this helps!

Answer:

D. $56,250

Step-by-step explanation:

Calculate the increase.

45000 × (1 + 25%)

45000 × 1.25

= 56,250

They made $56,250 this month.

Answer:

D

Step-by-step explanation:

Answer:

The answer is 2/10 :P

Step-by-step explanation:

We have To list all the possibilities first ! : 1 head, 2 head, 3 head, 4 head, 5 head, 1 tail, 2 tails, 3 tails, 4 tails and 5 tails ! ;)

We have in total 10 possibilities !

So if we want to work out the probability that she will get a 2 and a head, the answer has to be 2/10 because we have 10 possibilities !

I hope I helped you ! :P

Answer:

area of sector:

[tex] \frac{theta}{360} \times \pi \: {r}^{2} [/tex]

[tex] \frac{165}{360} \times \frac{22}{7} ( {8}^{2} )[/tex]

[tex] \frac{11}{24} \times \frac{1408}{7} [/tex]

[tex] \frac{1936}{21} [/tex]

[tex]92.19 \: {in}^{2} [/tex]

Answer:

the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]

Step-by-step explanation:

Use the fraction of the area of the circle associated with the red sector. Use a proportion to find the appropriate fraction knowing that a full circle [tex](360^o)[/tex] corresponds to the area:

[tex]Area=\pi\,R^2=\pi\, (8\,in)^2= 64\, \pi\,\,in^2[/tex]

then the proportion goes like:

[tex]\frac{64\,\pi\,\,in^2}{360^o} =\frac{sector}{165^o} \\ sector=\frac{64\,\pi\,165^o}{360^o}\,\,in^2\\sector\approx 92.15\,\,in^2[/tex]

Therefore, the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]

Answer:

This is a basic cubic function- thus the domain is all real numbers. You could think about domain as the possible x values for a graph. Since this cubic function extends from x=negative infinity to x=positive infinity, the range is all real numbers, or (-infinite, infinite) if you are told to write in interval notation.

Hope this helps!

The domain of [tex]y= x^{3}[/tex] are all real numbers, or  R due to the fact that [tex]x^{3}[/tex]  is a polynomial, which means its domain is R too.

Solution:

The domain of a particular expression is all real numbers except in the place where expression is undefined. The domain of any graph includes all the x-values that are solutions.

Interval Notation:

(-

Set-Builder Notation:

{x|x ∈R}

Determine the domain from the graph:

Thus, the domain of is:

(−∞,∞), {x|x∈R}

Learn more about the domain of polynomial:

https://brainly.com/question/12324899

If you stretch on the y-axis then you are increasing/decreasing values at a every x.

The new function is therefore:

[tex]g(x)=3\cdot2^x[/tex]

Hope this helps.

Answer:

AB ║ CD, reason If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel

Step-by-step explanation:

Statement,                                      Reason

Triangle ACD is isosceles,             Given

∠1 ≅ ∠3,                                           Given

∠3 ≅ ∠4,                                          Base angles of isosceles triangle

∠1 ≅ ∠4,                                           Substitution

∠1 and ∠4, are alt int. ∠s,                Definition

AB ║ CD,                                          Have congruent alternate interior angles

If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel

The two-column proof that shows that Segment AB║Segment CD is shown in the image attached below (See attachment).

Given the image showing an isosceles triangle, ΔACD.

The two-column proof that shows segment AB || Segment CD has been provided in the table shown in the image attached below.

We know already that:

ΔACD is isosceles

∠1 ≅ ∠3

∠3 and ∠4 base angles of the isosceles triangle, therefore, ∠3 ≅ ∠4.

By substitution, ∠1 ≅ ∠4

∠1 and ∠4 are alternate interior angles, therefore, based on the Converse of Alternate Interior Angles Theorem: AB║CD

The complete two-column proof is in the image attached below.

Learn more about Alternate Interior Angles Theorem on:

https://brainly.com/question/19486848

Answer:

y = 6

Step-by-step explanation:

You should always multiply by the easiest choice(which I see is multiplying the 7 and the 3 to get 21

7(9x + 3y = -18)

-3(8x + 7y = 10)

63x + 21y = -126

-24x -21y = -30

39x          = -156

and solve to get x = -4

then plug -4 into x any of the equations to get y = 6

( 8(-4) + 7y  = 10

  -32 + 7y  =  10

      7y = 42

        y = 6)

Answer:

The first equation should be multiplied by - 7 and the second equation by 3 .

Step-by-step explanation:

answer on edge

Answer:

The answer is option D

Step-by-step explanation:

Circumference of a circle is πd

where d is the diameter

From the question

d = 6½ feet = 13/2 feet

Circumference is

π × 13/2

= 22/7 × 13/2

= 143/7

[tex] = 20 \frac{3}{7} [/tex]

Hope this helps you

Answer:

d

Step-by-step explanation:

/its wat he sed

Answer:

given,

base= 10

height= 8

now, area of triangle =

[tex] \frac{1}{2} \times b \times h[/tex]

or, area =

[tex] \frac{1}{2} \times 10 \times 8[/tex]

therefore the area of a triangle is 40 sq units.

hope its helpful..

Answer:

A, 40 sq.units

Step-by-step explanation:

Area of Triangle:   1/2·b·h

Substitute:  h= 8, b= 10

                  A = 1/2 (10)(8)

Simplify:   A = 1/2(80) = 40

Area= 40 sq. units

Answer:

An arrow that goes from 0 to negative 3 and from negative three to 4.5

Give me brainliest,5stars,and thanks plz!

Answer:

arrow goes from negative 3 to negative 1.5 and from 0 to negative 3

Step-by-step explanation:

Answer:

B.No. The input is not possible.

Step-by-step explanation:

According to the given scenario, as we know that f(x) indicates that the baskets number and x the number of players at the practice.

Therefore, if we are having the point (12, 36) we can conclude that during practice there were 36 baskets and 12 players.

Hence, it does not make any sense which results that input is not possible

Answer:

power index

Step-by-step explanation:

Prime factor index form is expression of a number as product of its prime number. Here the prime factor is listed only once. It is necessary to insert the required power index to solve for the HCF

Tenemos que sean x e y los lados de la huerta entonces el perímetro sería:

P = 2*x + 2*y

Sabemos que el perimetro es 140, reemplazando:

140 = 2*x + 2*y

x + y = 70

despejamos y, nos queda:

y = 70 - x

Ahora tenemos que el área sería:

A = x*y

reemplazamos y:

A = x*(70 - x)

A = 70*x - x^2

Esta sería la ecuación que modela el área de la huerta.

Derivamos e igualamos a 0:

0 = 70 - 2*x

x = 70/2

x = 35

ahora calculamos y:

y = 70 - 35

y = 35

El área máxima sería:

A = 35*35

A = 1225 m^2

Answer:

13

Step-by-step explanation:

There are 6 ways to choose the first number and 5 ways to choose the second number to paint so the total number of ways is 6 * 5 = 30 but we are over counting by a factor of 2 since 1 and 6 is the same as 6 and 1 so it's 30/2 = 15, not 30. The only choices that have a product of 6 are 2 and 3 or 1 and 6 so the answer is 15 - 2 = 13.

Answer:

13 ways

Step-by-step explanation:

Total number of distinct ways to pair two faces

= C(6,2) = 6! / (2!4!) = 15

Total number of ways to pair two faces so that the product equals six

=cardinality {1*6, 2*3} = 2

Therefore

number of ways to paint two faces such that the product is not six

= 15 - 2

=13

Step-by-step explanation:

M(8.-2), M'(x,y) , [tex]$$\overrightarrow{v}[/tex] =(-5,1)

[tex]$$\overrightarrow{MM'} = $$\overrightarrow{v}[/tex]

--> x - 8 = -5 --> x= 3

---> y+2 = 1 --> y =-1

so M'(3,-1) and its reflection y-axis is (-3,-1)

The correct representation of given transformations is [tex]\bold{M(8,-2)\rightarrow M'(3,-1)\rightarrow M''(-3,-1)}[/tex]

"A translation is a geometric transformation where a geometrical figure is moved from one location to another location without changing its size, shape or orientation."

"A vector is a quantity or phenomenon that has magnitude and direction."

To find the vector from point P(a ,b) and Q(m, n)

[tex]\overrightarrow{PQ}= < m-a,n-b >[/tex]

We have been given that, the translation of M (8,-2) along vector<-5, 1 >

Let (x, y) represents the translated point along <-5, 1>

This means, <-5, 1> = <x-8, y-(-2)>

⇒ x - 8 = -5

⇒ x = -5 + 8

⇒ x = 3

Also, y + 2 = 1

⇒ y = 1 - 2

⇒ y = -1

So, the translated point is (3, -1)

The reflection of (3, -1) along y-axis is (-3, -1) .

Hence the correct representation of transformations is[tex]\bold{M(8,-2)\rightarrow M'(3,-1)\rightarrow M''(-3,-1)}[/tex] that is, option (C)

Learn more about geometric transformation here:

https://brainly.com/question/15222136

#SPJ2

Answer:

25.5°

Step-by-step explanation:

the sum of angle NMR and MRS is 180, so

2x + x + x + 78 = 180

4x = 180 - 78

4x = 102

x = 102/4 = 25.5°

Answer:

The domain is -418 < a < 8848 where a is an integer.

Step-by-step explanation:

We see from the data given that the  domain of T(a) takes both positive and negative integer values ( 8848 meters and  -418 meters); T(a) never gets decimal values (and in real life thy won't be of much use because we are not looking for that much accuracy).

So the appropriate number type for the domain of T(a) would be integers. And if you are interested, the domain is -418 < a < 8848.

Answer:

a) x = 10

Step-by-step explanation:

En este romboide, el angulo A es igual a el angulo C, y el angulo ABC es igual a el angulo CDA.

Entonces, el angulo C es 7x.

En un triangulo, los angulos se suman para ser 180 degrados. En el triangulo BCE, hay un angulo recto.

7x + 2x + 90 = 180

7x + 2x = 90

9x = 90

x = 10

Espero que este te ayude!

Answer:

A =  0    -7                             b=   0     -7

      3     2d                                   3      2d    

Let's calculate A and B:

Calculte (AB)^(-1):

Calculte B^(-1) and A^(-1):

so:

(AB)^(-1) = B^(-1) * A^(-1)

Answer:

x≤2−√6 or 0<x≤2+√6

Answer:

a = 4,

b = 12

c = 10

d = 15

Step-by-step explanation:

Since the product of each column is equal, therefore,

b*5 = 60

b = 60 ÷ 5 = 12

c*6 = 60

c = 60 ÷ 6 = 10

Since the sum of each column are equal, therefore,

12 + 10 + a = 5 + 6 + d

22 + a = 11 + d

Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.

Factors of 60 are:

(a, d)

(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)

(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)

(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)

(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]

(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)

(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)

Therefore,

a = 4,

d = 15

Answer:

Thurka got 8 questions right and 4 wrong.

Step-by-step explanation:

Thurka got "x" questions right and "y" questions wrong, therefore the sum of these questions must be equal to the total number of questions in that exam, which would be 12, therefore:

[tex]x + y = 12[/tex]

Since for each right question Thurka got 5 marks and for each wrong one 2 marks, then the total score can be written as:

[tex]5*x - 2*y = 32[/tex]

Solving the system of equations would give us the number of right and wrong questions.

[tex]\left \{ {{x + y=12} \atop {5*x-2*y=32}} \right.[/tex]

[tex]\left \{ {{2*x + 2*y=24} \atop {5*x - 2*y=32}} \right.[/tex]

[tex]7*x = 56\\x = \frac{56}{7} = 8[/tex]

[tex]y = 12 - x = 12 - 8 = 4[/tex]

Thurka got 8 questions right and 4 wrong.

Answer: D.) Cultural knowledge

Step-by-step explanation:

Answer:

solution,

Sum of exterior angles=360°

[tex]3x + 2x + 40 + 4x + x + 50 = 360 \\ or \: 3x + 2x + 4x + x + 40 + 50 = 360 \\ or \: 10x + 90 = 360 \\ or \: 10x = 360 - 90 \\ or \: 10x = 270 \\ or \: x = \frac{270}{10} \\ x = 27[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

The answer is no

Step-by-step explanation:

no

Answer:

None of the listed

Step-by-step explanation:

[tex]Solve-for ;x -in\\ 2x+2y =18\\x = 9-y\\Substitute , 9-y -for ,x- in -2x-2y=-6\\-2(9-y)-2y =-6\\18+2y-2y=-6\\18 = -6\\The -statement- is -false \\Answer ; No -Solution[/tex]