Evaluate the function rule below when x=-2

F(x)=1/4x

Step-by-step explanation:

area of triangle = 1/2 × base × height

= 1/2 × 6×4

= 12 cm²

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I think it’s 12cm but I am not sure sorry dude

Answer:

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Answer:

a) [tex]\vec{F_{c}}=mR\omega^{2}[/tex]

[tex]\vec{F_{c}}=9.53 \: N \vec{r}[/tex]

b) [tex]|\vec{F_{c}}|=9.53 \: N [/tex]

Step-by-step explanation:

a) The centripetal force equation is:

[tex]\vec{F_{c}}=m\vec{a_{c}}[/tex]

[tex]\vec{F_{c}}=mR\omega^{2}[/tex]

Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:

[tex]\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}[/tex]

[tex]\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}[/tex]

The centripetal force is a vector in the radius direction.

b) The magnitude of that force will be:

[tex]|\vec{F_{c}}|=9.53 \: N [/tex]

Answer: 4

Step-by-step explanation:

Answer:

20x = -58 - 2y( Ans~ x= -29/11)

17x = -49 - 2y (Ans~ x = -49/19)

Step-by-step explanation:

(1) 20x = -58 2x

   20x + 2x = -58

   22x = -58

   x = -29/11

(2) 17x = -49 - 2x

   17x + 2x = -49

   19x = -49

   x = -49/19

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Answer:

y=1

x=-3

Step-by-step explanation:

20x=-58-2y

20x/20=(-58-2y)/20

x=(-58-2y)/20

17x=-49-2y

17x/17=(-49-2y)/17

x=(-49-2y)/17

(-58-2y)/20=(-49-2y)/17

17(-58-2y)=20(-49-2y)

-986-34y=-980-40y

add 40y to both sides

6y-986=-980

add 986 to both sides

6y=6

divide both sides by 6

y=1

substitute

20x=-58-2(1)

20x=-60

x=-3

Proof: (substituting x & y values in original equations)

20(-3)=-58-2(1)

-60=-60

17(-3)=-49-2(1)

-51=-51

Answer:

Stop the line of production since the sample mean  (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]

Step-by-step explanation:

Given that;

95% confidence interval for these parts is 56.98 to 57.05

[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )

Sample mean = 56.96

We know that;

If the sample mean is within the confidence interval then, our decision is to keep the line operating as it is inside the confidence interval.

But if the sample mean is not within the confidence interval them, our decision is to stop the line of production as it is outside the confidence interval.

Now since our mean sample (56.96) does not lie between with the 95% confidence interval [tex]CI_{0.95}[/tex] = ( 56.98, 57.05 ).

Therefore, Stop the line of production since the sample mean  (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]

Answer: 15 second

Step-by-step explanation:

Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.

Joey starts running at v₁ = 10 m/sec  

Amy starts running at v₂ = 12 m/sec

we know that d = v [tex]*[/tex] t then t = d/v

Joey will take 400 / 10 = 40 seconds

Amy will take 400 / 12 = 33.33 seconds

To check  Joey  10 [tex]*[/tex] 40 = 400

And the Amy 12 [tex]*[/tex] 33.33 = 333.3

That means that time required for Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.

Therefore, 12 seconds elapse before Amy passes Joey on the track.

To learn more about arithmetic operations

https://brainly.com/question/1098659

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Answer:

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Exact Form:

b =15/4

Decimal Form:

b =3.75

Mixed Number Form:

b =3 3/4

Answer:

x     y

-2    36

-1     6

0      1

1       1/6

2       1/36

Step-by-step explanation:

Given

[tex]f(x) = (\frac{1}{6})^x[/tex]

Required

Complete the table

When x = -2.

Substitute -2 for

[tex]f(-2) = (\frac{1}{6})^{-2[/tex]

[tex]f(-2) = 1/\frac{1}{36}[/tex]

[tex]f(-2) = 36[/tex]

When x = -1

[tex]f(-1) = (\frac{1}{6})^{-1[/tex]

[tex]f(-1) = 1/\frac{1}{6}[/tex]

[tex]f(-1) = 6[/tex]

When x = 0

[tex]f(0) = \frac{1}{6}^0[/tex]

[tex]f(0) = 1[/tex]

When x = 1

[tex]f(1) = \frac{1}{6}^1[/tex]

[tex]f(1) = \frac{1}{6}[/tex]

When x = 2

[tex]f(2) = \frac{1}{6}^2[/tex]

[tex]f(2) = \frac{1}{36}[/tex]

Answer:

x=1/3

Step-by-step explanation:

Answer:

29110.87

Step-by-step explanation:

mt might is 20,401.5 ft high, and tall mountain is 8709.37 ft higher than mt might, so add their those numbers together

Answer:

10m

Step-by-step explanation:

Hope this helps! Please give me brainliest and tysm!

Answer:

10 m

Step-by-step explanation:

Area of the triangle

=40 m²

height (h) = 8 m

Base (b) = ?

We know

Area of triangle = 1/2 * b * h

40 = 1/2 * b * 8

40 = 4b

b = 10 m

Hope it will help :)

Answer:

The slope is 5

the y-intercept is (0,7)

Step-by-step explanation:

Answer:

f^(-1) = x/4

Step-by-step explanation:

1.  Starting with f(x) = 4x, replace 'f(x)' with y:  y = 4x

2.  Interchange x and y:  x = 4y

3.  Solve for y:  y = x/4

4.  Replace this y with 'f^(-1) = ":    f^(-1) = x/4

Answer:

180270

Step-by-step explanation:

Do Pemdas to find order of operations:

(264*675)+ 1239-56+887

So it is:

(178200)+2070

This equals: 180,270

Answer:

14+22=36

36 is less than n

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

8 × 25 = 200

200 × 20% = 160

Step-by-step explanation:

13.6z - 11 = -1.48.

13.6z=-1.48+11

z=9.52/13.6=0.7

Answer: Coordinates of the vertices of the vertices of the given imagen.

Answer:

Infinity

Step-by-step explanation:

9x -27 = 9x -27

-9x .     -9x

-27 = -27 = always true

Answer:

x = 13, y = 3

Step-by-step explanation:

3(5y - 2) - 4y = 27

15y - 6 - 4y = 27

11y = 33

y = 3

x = 15 - 2

x = 13

Answer:

The ratio of boys to girls is [tex]\frac{16}{20}[/tex]

The simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]

So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]

The simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by:

[tex]\frac{a}{b}[/tex]

Boys to girls:

There are 16 boys and 20 girls.

So the ratio of boys to girls is [tex]\frac{16}{20}[/tex]

Both these numbers can be simplified by 4, 16/4 = 4, 20/4 = 5. So the simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]

Girls to total students

There are 20 girls and 20 + 16 = 36 total students.

So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]

Both these numbers can be simplified by 4, 20/4 = 5, 36/4 = 9. So the simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]

Answer:

BD is just equal to the sum of BC and CD.

So we have: BD = x + x + 5

Simplifying, we have BD = 2x+5

Let me know if this helps!