Hi. I don’t know what the answer for this equation. Can somebody help me? Thanks.


Which is the reflection line for the transformation
shown?
1. x-axis
2. y-axis
3. x= -2
4. y = -2

The velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.

To find the velocity of the particle at the first instance it is at the origin, we need to find the value of t when x(t) = 0.

Since the particle is at the origin when x(t) = 0, we have:

[tex]0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1 = 0[/tex]

Using numerical methods or graphing the equation, we find that the roots are approximately t ≈ -0.618, t ≈ 1.532, t ≈ 3.143, and t ≈ 2.944.

Since t > 0, the first instance the particle is at the origin corresponds to t ≈ 2.944 (the smallest positive real root).

Now, to find the velocity of the particle at this instance, we need to find the derivative of the position function x(t) with respect to time t, which gives us the velocity function v(t):

v(t) = dx/dt

[tex]v(t) = d/dt (0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1)\\v(t) = 2t^3 - 4.5t^2 - 4t + 6[/tex]

Now, we can find the velocity at t ≈ 2.944:

[tex]v(t = 2.944) = 2(2.944)^3 - 4.5(2.944)^2 - 4(2.944) + 6[/tex]

v(t ≈ 2.944) ≈ 16.885

So, the velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.

learn more on velocity :

https://brainly.com/question/29290259

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Answer:

<3 and <6 are alternate interior angles

<4 and <6 are consecutive interior angles

<4 and <5 are alternate interior angles

<3 and <5 are consecutive interior angles

Step-by-step Explanation:

See attached images for examples of the angles.

Hope this helps!

Answer:

y = |x| + 5

Step-by-step explanation:

Calculate the points with x = -4 to 4 and match the plots.  (Attached)

Answer:

1 -9 09u and than add

Step-by-step explanation:

Answer:

a = 3x

b = -6x^2

c = 4

Step-by-step explanation:

to find b we have to multiply (x - 3) with 2x^2

= 2x^3 - 6x^2

b = - 6x^2

to find a

in the second step of division to get -9x

we have to multiply x - 3 with 3x

a = 3x

to find c we have to add next term after x in the first equation that is 4

in equation 8x + 4

so c = 4

Step-by-step explanation:

hope it helps thanks this is the answer

Answer:

✓ 42.25-39.85=2.437+1 1/4= 38.2539.25-38.25=1Eric came closer.\\

Step-by-step explanation:

:]

Answer:

eric came closer

Step-by-step explanation:

Answer:

.05x+50=55

100 minutes

Step-by-step explanation:

simplify

.05x=5 (subtract 50 on both sides)

5/.05=x

100=x

she can call for 100 minutes

Answer:

I got -1/2

Step-by-step explanation:

Answer:

m>7

Step-by-step explanation:

-7m+10<-39

-7m<-39-10

-7m<-49

7m>49

m>7

Answer:

Distance = 5

Step-by-step explanation:

D= sqrt (x1-x2)^2 + (y1-y2)^2

(5-2)^2 + (8-4)^2=3^2 + 4 ^2 = 9 +16 = 25

Sqrt of 25 = 5

Distance = 5

Hope this helps

Answer:

d=3.605551

Step-by-step explanation:

d=(8−5)2+(4−2)2−−−−−−−−−−−−−−−√

d=(3)2+(2)2−−−−−−−−−√

d=9+4−−−−√

d=13−−√

d=3.605551

Answer:

-5 ≤x≤6

[-5,6]

Step-by-step explanation:

The domain is the values that the input takes

x goes from -5 (inclusive) to 6 (inclusive)

-5 ≤x≤6

[-5,6]

Answer:

[-5, 6]

Step-by-step explanation:

    The domain of a function is the list of x values. Since the endpoints are shaded, that means those x values are included as well. Therefore, the domain of f is [-5, 6].

Answer:

At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. How many cells will be in the bottle at 10:15 a.m.?

Step-by-step explanation:

Answer:

The trigonometric ratio that I would use to find the distance from the base of the tower to the keys is the tangent; tan (86°) = height / distance.

Step-by-step explanation:

You can draw a right triangle with angle 86°, opposite leg equal to the height (50 meter) and adjacent leg equal to the distance from the base of the tower to the keys: tan (86°) = 50 m / x

=> x = 50 m / tan(86°)

x = 50 m / 14.30 = 0.98 m

Answer:

4 7/20

Step-by-step explanation:

8 1/4 - 3 9/10

get a common denominator of 20

8 1/4 *5/5 - 3 9/10 *2/2

8 5/20 - 3 18/20

borrow 1 from the 8 in the form of 20/20

7 +20/20 + 5/20 - 3 18/20

7 25/20 - 3 18/20

4 7/20

Answer: 4.35

Step-by-step explanation: 8 1/4 as a decimal is 8.25. 3 9/10 as a decimal is 3.9. 8.25 - 3.9 = 4.35.

five is your slope line

Hi there!

The slope is -5.

Because

The equation of the line is written in slope-intercept form (y=mx+b)

m is the slope (-5)

Hope it helps!

If you have any question or query, feel free to ask!

~An excited gal

[tex]SparklingFlower[/tex]

Answer:

3

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because i used my brain#

Answer:

12.5

Step-by-step explanation:

75 ÷ 6

Answer:

C. 213.65 = 12.3(I+ 4.3)​

Step-by-step explanation:

Original length: l

New length: l + 4.3

area: LW

area: 213.65 m²

area = LW = (l + 4.3)(12.3)

(l + 4.3)(12.3) = 213.65

12.3(l + 4.3) = 213.65

Answer: C. 213.65 = 12.3(I+ 4.3)​

The two tangent theorem states that if we draw two lines from the same point which lies outside a circle, such that both lines are tangent to the circle, then their lengths are the same.

Which means that DB = CB

Which means that 10x + 16 = 5x + 20

10x - 5x = 20 - 16

5x = 4

x = 4/5

And so the length of CB is

5 * 4/5 + 20 = 4+20 = 24

Good LUCK :)

9514 1404 393

Answer:

  4 : 1

Step-by-step explanation:

Each segment joining midpoints is called a "midline." It is parallel to the segment not being joined, and is half its length. All the dimensions of the smaller triangle are half those of the larger triangle. (They are similar triangles.) The ratio of areas is the square of the ratio of side lengths:

  2² : 1² = 4 : 1 . . . . . . ratio of triangle areas

Answer:138

Step-by-step explanation:

2x+49=5x+19

x=10

mqp = 7x+68

mqp = 138

Answer:

[tex]x + 3y = 5...(1) \\ 2x + y = 8...(2) \\ 2 \times (1) \\ 2x + 6y = 5...(3) \\ (3) - (2) \\ 5y = 5 \\ y = \frac{5}{5} \\ \color{red} \boxed{y = 1} \\ sub \: in \: (1) \\ x + 3(1) = 5 \\ x = 5 - 3 \\ \color{blue} \boxed{x= 2}[/tex]

9514 1404 393

Answer:

  (x, y) = (-2, -4)

Step-by-step explanation:

A graphing calculator can provide excellent help with graphing. Apps and websites are available, if your calculator doesn't do that.

The two lines intersect at the solution point: (x, y) = (-2, -4).

Answer:

triangle 1. 10•6=60m²

triangle 2. 25•14= 350cm²

* in case u need help, to find the area of a triangle use this formula;

b • h = a

base • height = area

hope this helps

#1

Area:-

[tex]\\ \sf\longmapsto \dfrac{1}{2}BH[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}(6)(10)[/tex]

[tex]\\ \sf\longmapsto 3(10)=30m^2[/tex]

#2

Area:-

[tex]\\ \sf\longmapsto \dfrac{1}{2}(25)(14)[/tex]

[tex]\\ \sf\longmapsto 25(7)[/tex]

[tex]\\ \sf\longmapsto 175cm^2[/tex]

Answer:

30√85 or 276.5863 meters

Step-by-step explanation:

Use pythag theorom. a^2+b^2=c^2

180^2+210^2=c^2

c=276.5863

Answer:

4y - 12

Step-by-step explanation:

4(y - 3)

(4 x y) - (4 x 3)