Factor the binomial completely. x2−81

Answer:

x = 31°

Step-by-step explanation:

triangle = 180°

-there is a right angle

180-90 = 90

90-59= 31

31+90+59 = 180

Answer:

[tex]x=31^{\circ},\\y=5[/tex]

Step-by-step explanation:

Since DB bisects [tex]\angle ABC[/tex], [tex]DC=DA[/tex]. Therefore, [tex]\fbox{$y=5$}[/tex].

From the isosceles base theorem, the measure of the angles adjacent to the congruent sides of an isosceles triangle are equal. Therefore, we can write the following equation:

[tex]2x+59+59=180,\\2x+118=180,\\2x=62,\\x=\fbox{$31^{\circ}$}[/tex].

Answer:

x=-2,y=2

Step-by-step explanation:

2x+y=-2 ----> y=-2-2x----(1)

25x+3y=-4 ---(2)

Replace (1) in (2)

5x+3(-2-2x)=-4

5x-6-6x=-4

-x=-4+6

-x=2

x=-2

If x=-2,then replace x in (1)

y=-2-2(-2)

y=-2+4=2

Answer:

  La probabilidad de que la pieza elegida sea defectuosa, P(D), 0.0385

La máquina con mayor probabilidad de haber producido la pieza defectuosa es A

Step-by-step explanation:

Sea D= "la pieza es defectuosa" y N= "la pieza no es defectuosa". La información del problema puede expresarse en el diagrama de árbol adjunto.

Para calcular la probabilidad de que la pieza elegida sea defectuosa, P(D), por la propiedad de la probabilidad total,

P(D) = P(A) · P(D/A) + P(B) · P(D/B) + P(C) · P(D/C) =

= 0.40 · 0.03 + 0.35 · 0.04 + 0.25 · 0.05 = 0.0385

Debemos calcular P(B/D). Por el teorema de Bayes,

P(B/D)= P(B) x P(D/B)   /  P(A) x P(D/A) + P(B) x P(D/B) +P(C) x P(D/C)  

          =        0.35 · 0.04 /     0.40 · 0.03 + 0.35 · 0.04 + 0.25 · 0.05

Calculamos P(A/D) y P(C/D), comparándolas con el valor de P(B/D) ya calculado. Aplicando el teorema de Bayes, obtenemos:

0.012

0.0385

P(A/D)= 0.311

0.014

0.0385

P(B(D)=0.363

0.0125

0.0385

P(C/D)=0.324

 La máquina con mayor probabilidad de haber producido la pieza defectuosa es A

Answer:

Esther's is more expensive

Step-by-step explanation:

2 dollars per soda

Brainly plss

Answer:

scalene and right

Step-by-step explanation:

it's a scalene triangle because all the sides have different lenghts. it's also a right triangle because of the square indicating that the triangle has a 90 degree angle making it a right triangle.

Answer:

5

Step-by-step explanation:

20/5=4

45/5=9

cant simplify farther

Answer:

the answer is 5.

Step-by-step explanation:

Factors for 20: 1, 2, 4, 5, 10, and 20.

Factors for 45: 1, 3, 5, 9, 15, and 45.

Same numbers is 5.

the answer is 5.

Answer:

C: 75%

Step-by-step explanation:

27 out of 36 are red.  You find the percentage by diving 27 by 36 and then moving the decimal place over to the right 2 spaces.  27 / 36 = .75

Answer:

substituting  & graphing

Step-by-step explanation:

Answer:

41*

Step-by-step explanation:

Answer:

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The formula for determining slope is expressed as

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

From the points given,

x1 = 0, y1 = 4

x2 = 2, y2 = 10

Slope, m = (10 - 4)/(2 - 0) = 6/2

Slope = 3

We would determine the y intercept, c by substituting m = 3, x = 0 and y = 4 into the slope intercept equation. It becomes

4 = 3 * 0 + c

c = 4

Thus, the equation of the line would be

y = 3x + 4

Answer:

D

Step-by-step explanation:

Its d because in the graph the line where they are at is positive and the answer shows (2,2) in the graph.

Answer:x+2=y

Step-by-step explanation:

Answer:

2(x-2)=6.

hope this helps

Answer:10.5 ml

Step-by-step explanation:do 75/50=1.5

Do 7 times 2.6 and get 7+2.5=10.5 miles

Answer:

b

Step-by-step explanation:

Answer:

600 im pretty sure

Step-by-step explanation:

Answer:

2 pizzas

Step-by-step explanation:

Answer:

I think it's 13

Step-by-step explanation:

Answer:

There are 7 plants in the garden.

Step-by-step explanation:

8 + 6 (Half dozen) = 14

98 divided by 14 = 7

I hope I helped.

Answer:

Given the reference to the chain rule, I assuming by "calculate", you mean "take the derivative of", in which case we have:

For the first function:

[tex]y = (2u^2 + 3)^{\frac{1}{3}}\\\\\frac{dy}{du} = \frac{1}{3}(2u^2 + 3)^\frac{-2}{3}(4u)\\\\\frac{dy}{du} = \frac{4u}{3}(2u^2 + 3)^\frac{-2}{3}\\\\\frac{dy}{du} = \frac{4u}{3(2u^2 + 3)^\frac{2}{3}}[/tex]

and for the second one:

[tex]u = \sqrt{2x + 1}\\\\u = (2x + 1)^{0.5}\\\\\frac{du}{dx} = 0.5(2x + 1)^{-0.5}(2)\\\\\frac{du}{dx} = \frac{1}{\sqrt{2x + 1}}[/tex]

Answer:

X=63 y=27

Step-by-step explanation:

X and 117 are on a straight line. All straight lines = 180 degrees.

180 - 117 = 63

90 - 63 = 27

9514 1404 393

Answer:

  1. yes

  2. no

Step-by-step explanation:

We can label the equations [1] and [2] to make the transformations to the equivalent system easier to describe.

1. The equivalent system is [1] +[2] and 2×[1]. Both of these are described as allowed transformations.

  [1] +[2] is (-x +2y) +(-3x +9y) = (10) +(-15)  ⇒  -4x +11y = -5

  2×[1] is 2(-x +2y) = 2(10)  ⇒  -2x +4y = 20

These resulting equations match the ones proposed for the equivalent system.

  yes, the systems are equivalent

__

2. The first equation of the proposed "equivalent" system is [1] +[2]. The second equation has no relation to the equations of the given system.

  [1] +[2] = (-2x +3y) +(-11x -13y) = (14) +(-6)  ⇒  -13x -10y = 8

  no, the systems are not equivalent

(This is also shown in the attached graph. The original system is in red; the "equivalent" system is in green. Equivalent systems have the same solution. These do not.)

Answer:

4.) 8%

5.)56%

6.)90%

10.)107%

11.)275%

12.)0.75%

13.)33/400

14.)30.5/100

15.)200/3

16.)62.5

17.)75%

Answer:

Criag has 4 dimes and 8 nickles

Step-by-step explanation:

1 dime = 10 cents

1 nickle = 5 cents

4 dimes = 40 cents

8 nickles = 40 cents

40 cents + 40 cents = 80 cents

8 - 4 = 4

therefore it is equivelent that criag has 4 dimes and 8 nickels.

Answer:

48

Step-by-step explanation:

4x=148+44

4x=192

x=48

Answer:

Step-by-step explanation:

there are 360 degrees inside any 4-sided polygon

so add all four angle measures and set equal to 360:

3x + x + 44 + 148 = 360

4x + 192 = 360

4x = 168

x = 42

check:

3(42) + 42 + 44 + 148 should equal 360

126 + 42 + 192 = 360

168 + 192 = 360

360 = 360

Answer: At least 50 Tickets

Step-by-step explanation:

Since each ticket cost $6.75 each you will have to

$1,600.00-$1,262.50 = $33.75 after that you will have to

$33.75÷$6.75 =$50

Answer:

15.51

Step-by-step explanation:

Answer:

15.51

Step-by-step explanation:

The calculator is $49.50.

The radio is $114.99.

First, we add them together.

49.50+114.99 = 164.49

that is the total cost of both the radio and calculator.

Next, we subrtact  180.00-164.49= 15.51.