If the suspect is found guilty, then he will go to prison.

Which of the following is a logically equivalent statement to the conditional statement above?

If the suspect does not go to prison, then he was not found guilty.
If the suspect goes to prison, then he was found guilty.
If the suspect is not found guilty, then he will not go to prison.
If the suspect is not found guilty, then he will go to prison.

Answer:

120 trees

Step-by-step explanation:

4x10=40

40x3=120

120 trees will be planted

Answer:

170°

Step-by-step explanation:

The total degrees of a circle is 360°. So the math is pretty straight forward.

130 + 60 = 190           (First you find what the known degrees are together)

360 - 190 = 170          (Next you take that added total and subtract it from 360)

x = 170                        (And there you go! Your answer!)

I hope this helped :)

Answer:

[tex]5x^{2} -4x +5[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 cm = 10 mm

a) 0.1 cm = 1 mm

1 mm = 1000 m

b) 25000mm = 25 m

1 g = 0.001 kg

c) 7g = 0.007 kg

1ml = 0.000001

d) 30000ml = 0.03 kl

Answer:

$19,000

Step-by-step explanation:

The original or initial price of the car = discount price + amount by which the car was reduced

$16,000 + $3000 = $19,000

The percentage decrease in price = (amount discounted / original price) x 100

( $3000 / $19,000) x 100 = 15.79%

Answer:

P(-5,-3)

Step-by-step explanation:

directed line segment  AB where

A(-10,-5) and B(5,1)

Vector of segment AB = B-A = <15,6>

Add one third of the vector length to A to get the partition point, P

A(-10,-5) + <15,6>/3 =A(-10,-5)+<5,2> = P(-5,-3)

Answer:

3. would be one above the negative 5

4. 3 up from positive 4

5. would be on the negative 2

write the letters on those points respectively.

Answer:

ANSWER

C.

3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x

4

−x

3

+3x

2

+18x+4

EXPLANATION

We want to multiply;

(3 {x}^{2} + 5x + 1)( {x}^{2} - 2x + 4)(3x

2

+5x+1)(x

2

−2x+4)

We use the distributive property to obtain:

3 {x}^{2} ( {x}^{2} - 2x + 4) + 5x( {x}^{2} - 2x + 4) + 1( {x}^{2} - 2x + 4)3x

2

(x

2

−2x+4)+5x(x

2

−2x+4)+1(x

2

−2x+4)

We expand to get:

3 {x}^{4} - 6 {x}^{3} + 12 {x}^{2} + 5 {x}^{3} - 10 {x}^{2} + 20x + {x}^{2} - 2x + 43x

4

−6x

3

+12x

2

+5x

3

−10x

2

+20x+x

2

−2x+4

Regroup similar terms:

3 {x}^{4} - 6 {x}^{3} + 5 {x}^{3} + 12 {x}^{2} - 10 {x}^{2} + {x}^{2} + 20x - 2x + 43x

4

−6x

3

+5x

3

+12x

2

−10x

2

+x

2

+20x−2x+4

Combine similar terms:

3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x

4

−x

3

+3x

2

+18x+4

The correct choice is C.

Answer:

[tex]9 - 4\sqrt{2}[/tex]

Step-by-step explanation:

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

tan60° = [tex]\sqrt{3}[/tex]

tan45° = 1

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex]

(2sin60°)(3tan60°) - (4tan45°)(2cos45°)

now substitute the values of each trigonometrical angles

[tex](2*\frac{\sqrt{3} }{2} )(3*\sqrt{3} ) - (4*1)(2*\frac{1}{\sqrt{2} } )[/tex]

[tex]\sqrt{3} * (3\sqrt{3}) - 4*(\frac{2}{\sqrt{2} } )[/tex]

[tex]3*3 - 4*\frac{2}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }[/tex]

[tex]9 - 4 *\frac{2\sqrt{2} }{2}[/tex]

[tex]9 - 4 * \sqrt{2}[/tex]

[tex]9 - 4\sqrt{2}[/tex]

T=Tens

U=Unit

From the question... The Unit digit is twice the Tens digit

Let the Number be xy

Meaning

y is the unit number

x is the tenth Number

Can be inferred for the question that

y=2x ...........(i)

Also

If the Number is doubled x2(times 2)

"It'll be 9more than the reversed"

Now listen

if you want to express a 2digit Number...

Let's say 45...

It can be expressed as 10x4 + 5 = 45

or

66 can be expressed as 10x6 + 6 = 66

So

It'd be better if we express this our unknown number like that too

So

Let's express "xy" like "10x + y"

Hope you grab?

Now from the second statement of the question..

If The Number is doubled...It'll be 9 more than the reversed

What is the reverse of that Number??

The reverse would be "10y + x"

You can see that x and y switched places.

so

The statement said...

2(10x + y) + 9 = 10y + x (reversed)

20x + 2y + 9 =10y + x ........(ii)

Recall from our first eqn

y=2x

Now substitute y=2x into eqn ii

20x + 2(2x) + 9 = 10(2x) + x

20x + 4x +9 = 20x + x

20x - 20x + 4x - x = -9

3x = -9

x=-3

y=2x

y=2(-3)

y=-6

So The Number is 10x + y

= 10(-3) + (-6)

=-30-6

=-36

This answer obeyed the first part of the question because the unit is twice digit(2x3)

Let's check if it obeyed the second part

2[(10(-3) + (-6)] + 9 = 10(-6) + (-3)

2(-30-6) + 9 = -60-3

-63=-63

The 2nd part is also true.

So

Our Number is -36.

I'm Open to corrections if you spot any.

Answer:

5

Step-by-step explanation:

1+2+2+3+3+3+4+5+6+6+7+7

+7+8+9 = 73

73/15 = 4.86667

you add all the numbers and divide by how many numbers there were.

so round it up and it should be 5.

Answer:

The number of employees work in clothing is 1260.

Step-by-step explanation:

Out of 1,620 workers in a 7/9 textile company work in clothing and the rest in administrative tasks. How many workers work in clothing?

Total workers = 1620

employees works for clothing = 7/9

So, the number of employees = 7/9 x 1620 = 1260

Usando la informacion dada, veremos que el número de trabajadores que trabajan en confección es 1,260.

Sabemos que hay un total de 1,620 trabajadores en la empesa textil.

7/9 de ellos trabajan en confección.

Queremos ver el número de trabajadores que trabaja en confección, para ello, simplemente debemos multiplicar la fracción del número total que trabaja en confección por el número total, es decir:

N = (7/9)*1,620 = 1,260

1,260 trabajadores trabajan en confección.

sí quieres aprender más, puedes leer:

https://brainly.com/question/12668006

Answer:

Step-by-step explanation:

Number 5

Answer:

[tex]y=\frac{6}{5}x-5[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the two given points (0,-5) and (5,1)

[tex]m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}[/tex]

Therefore, the slope of the line is [tex]\frac{6}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{6}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{6}{5}x+b[/tex]

On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:

[tex]y=\frac{6}{5}x-5[/tex]

I hope this helps!

Answer:

y = 6/5x - 5

Step-by-step explanation:

To find the equation of a linear line you need 2 things: the slope and the y-intercept.

The slope can be found by taking two points and dividing the change in y by the change in x. Using the two points highlighted, the slope would be (1 - -5)/(5-0) = 6/5.

The y-intercept is where the line crosses the y-axis, which on this line is at -5. Then plug in this information into point slope form, y = mx + b, where m is the slope.

So you get y = 6/5x - 5.

Here is standard form too if you need this instead: 6x - 5y = 25

Answer:

63=90-63= 27

Bye

Answer:

x = 5     y = 2

Step-by-step explanation:

3x + 2(3x - 13) = 19

3x + 6x - 26 = 19

9x = 45

x = 5

y = 3(5) - 13

y = 15 - 13

y = 2

Answer:

-3,000

Step-by-step explanation:

got it correct on edg

Answer:

-3000

Step-by-step explanation:

Right on edge 2021

Answer:

The answer is:

y=-2x+2+x+1

y=_2x+x+2+1

y=x+3

Hope it helps

Answer:

B 15 has to be the answer i think but ion fully know

Answer:

b 15%

Step-by-step explanation:

Answer:

La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:

O si se desea un número entero:

Step-by-step explanation:

Para identificar la velocidad que debe levar un conductor para cometer una infracción, se deben tener en cuenta las pautas dadas en el ejercicio:

Ahora debemos calcular el 12% de la velocidad máxima permitida y sumarlo a dicha velocidad, con el fin de calcular la velocidad límite justo antes de cometer la infracción:

Cómo puedes ver, cuando el conductor está manejando a 134.4 Km/h está justo al límite antes de cometer una infracción, ya que recuerda que en el enunciado se menciona que "se considera infracción si se sobrepasa según al rodar el 12% de esa velocidad", por lo tanto, la velocidad que debe tener para cometer esa infracción debe ser mayor a la velocidad límite, la cual puede ser 134.5 Km/h, aumentando solo una décima a la velocidad límite, o 135 Km/h si se requiere que la respuesta sea un número entero.

Answer:

Step-by-step explanation:

[tex]h(t)=-16t^2+v_0t+h_0[/tex] where

h(t) is the height of the ball after a certain amount of time has gone by,

-16t² is the pull of gravity in ft/s/s,

v₀t is the initial upwards velocity, and

h₀ is the height from which the ball was initially thrown. Our equation is then, filling in the info in the correct places:

[tex]h(t)=-16t^2+128t+4[/tex] where 128 is the given initial velocity and 4 is the number of feet from which the ball was initially launched.

Step-by-step explanation:

We can simply by opening the brackets ,

=> y - 1 = 5( x - 2 )

=> y - 1 = 5x - 10

=> y - 5x = -9

=> 5x - y + 9 = 0

Answer:

Graph U

Step-by-step explanation:

A graph is used to illustrate the relationship between variables.

For graph U:

Graph U is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph approaches 0 as x approaches -∞.

For graph V:

Graph V is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞.

For graph W:

Graph W is positive on (-∞, 0). The graph also increases on (-∞, 0). The graph approaches 0 as x approaches -∞.

For graph X:

Graph X is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞

For graph Y:

Graph Y is positive on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph approaches 0 as x approaches ∞.

For graph Z:

Graph Z is negative on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph is approaches 0 as x approaches -∞

5x - 17 = 48

5x − 17 + 17 = 48 + 17

5x = 65

x = 13

180 - 48 = 132

y = 132

Answer:

Step-by-step explanation:

Dilation

The value of AD will be 15 cm.

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