HELP PLEASE!!!
-15 < x - 8 < -4

SOLVE COMPUND INEQUALITY​

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.

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Answer:

70%

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{6}{22} = \frac{15}{a} [/tex]

[tex] \frac{3}{11} = \frac{15}{a} [/tex]

[tex]3a = 15 \times 11[/tex]

[tex]3a = 165[/tex]

[tex]a = \frac{165}{3} [/tex]

[tex]a = 55[/tex]

Answer:

yes

Step-by-step explanation:

1. 4

3x–1 = 8

x+1

2. 3

2x–1 = 20

3. log7

(5x + 3) = 3

4. log(3x + 1) – log 4 = 2

5. log4

(x – 1) + log4

(3x – 1) = 2

x ≈ 1.86

x = 68

x = 133

x = 3

x =

5

3

Answer:

The farmer needs to wait at least 17 days or more for radioactive material to dissipate down to 11%.

Step-by-step explanation:

Hope this helps. . . <3

Answer:

40%

Step-by-step explanation:

Answer:

I might be wrong but atleast i can help.

The value of NO such that R is at the centroid of the triangle will be 57.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the b.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle,

The R is centroid thus NR/RO = 2/1

As per the given NR = 38

38/RO = 2/1

RO = 38/2 = 19

Thus, NO = NR + RO = 38 + 19 = 57

Hence "The value of NO such that R is at the centroid of the triangle will be 57".

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    This is because of the law of indices which says:

[tex]\sqrt[x]{n}[/tex]= [tex]x^{\frac{1}{m} }[/tex]

    So, if we have:

[tex]\sqrt{n}[/tex]

    Then the following will be true because of this math law:

[tex]n^{\frac{1}{2} }[/tex]

Side note: The m value can be greater than n and or less than n, but if it is equal the m and n values cancel out.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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:

let 2? be 2y

2y+y^2-563=0

2y+y^2=0+563

2y+y^2=563

3y^2\3=563\3

y=13.69

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.

Answer:

A r = kt

Step-by-step explanation:

9514 1404 393

Answer:

  a) a=1, b=4, c=-5

  b) opens up; a > 0

  c) minimum = -9, the y-value of the vertex

  d) x = -5, 1

  e) y = -5, the value of c

  f) (-2, -9)

Step-by-step explanation:

A graph drawn by a graphing calculator can answer all of these questions quickly and easily.

__

a) The values of 'a', 'b', and 'c' are the values of the coefficients of the terms in the function definition. They refer to the coefficients in the standard form:

  f(x) = ax^2 +bx +c

  f(x) = x^2 +4x -5 . . . . . . . your equation with a=1, b=4, c=-5

__

b) The parabola opens up. This is because the value of 'a' is greater than zero.

__

c) The minimum is the y-value of the vertex. When the function is written in vertex form it is ...

  f(x) = (x -h)^2 +k . . . . . . . . . . . vertex (h, k)

Your function can be put into this form:

  f(x) = x^2 + 4x +4 -5 -4 . . . . . . add and subtract 4 to complete the square

  f(x) = (x +2)^2 -9 . . . . . . . . vertex form. The vertex is (-2, -9).

The y-value of the vertex is -9, the minimum value of the function.

__

d) Solving f(x) = 0, you get ...

  (x +2)^2 -9 = 0

  (x +2)^2 = 9 . . . . . . . . add 9

  x +2 = ±√9 = ±3 . . . . . take the square root; next, subtract 2

  x = -2 ±3 = {-5, 1} . . . . . the x-intercepts

__

e) The y-intercept is f(0) = c = -5.

__

f) The vertex was found in part (c) to be (-2, -9).

Step-by-step explanation:

the formula is ax^2+bx+c

the vertex is (-b/2a)i^

find it and put it on function and the j^ of the vertex is found which is -delta/4a

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:

Step-by-step explanation:

hope it helps thanks this is the answer

Answer:

The answer is C

Answer:

(6 + f) + 10

f + 16

Answer: y = -5/2 -17

Step-by-step explanation: First put the equation in point slope form

Y-y1 = m(x-x1)

y + 2 = -5/2(x+6) then simplify to slope int. form

Y= mx + b

Y = -5/2x-17

Answer:

y = (-5/2)x - 17

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = mx + b

Slope = -5/2

y = (-5/2)x + b        [tex]\longmapsto\\[/tex]         Input x and y values from given point

-2 = (-5/2)-6 + b

-2 = (-5 * -6)/(2) + b

-2 = 30/2 + b

-2 = 15 + b

b = -2 - 15

b = -17

y = mx + b

m = -5/2

b = -17

y = (-5/2)x - 17

-Chetan K

-Chetan K

Answer:..

Step-by-step explanation:..

Answer:

-101,430

Step-by-step explanation:

23 x 98 x 45 x 1 equals 101,430, but the real trick of the question is whether it is positive or negative.

23(-98) forms a negative number (-2,254)

-2254(-45) forms a positive number (101,430)

101,430(-1) forms a negative number (-101,430)

Answer:

b = 4

Step-by-step explanation:

The y- intercept is the point on the y- axis where the line crosses it

Here the line crosses the y- axis at b = 4

Answer:

is no solution an answer choice cause thats what i got

Step-by-step explanation:

Answer:

r = 27 cm

Step-by-step explanation:

[tex]Volume \ of \ ball = \dfrac{4}{3}\pi r^{3}\\\\\\\dfrac{4}{3}\pi r^{3}= 26244\pi \\\\\\r^{3}=\dfrac{26244*\pi *3}{4*\pi }\\\\\\r^{3}= 6561*3\\\\r^{3} = 3*3*3*3*3*3*3*3*3\\\\\\r=\sqrt[3]{3*3*3*3*3*3*3*3*3}=3*3*3\\\\r = 27[/tex]

Answer:

-79.8

Step-by-step explanation:

The change can be found by subracting the ending distance from the beginning distance.

In this case, its 200.6-120.8= 79.8

It is negative because the distance in the end became lower than the beginning distance.

Hope this helps!

Answer:

1638 cm, also please mark brainliest

Answer:

1

Step-by-step explanation:

The function f(x)=e⁴⁻ˣ   is differentiable for all values of x over the interval (-5,5)

A differential equation is an equation that contains one or more functions with its derivatives.

There are a few ways to tell- the easiest would be to graph it out- and ask yourself a few key questions

Function is continuous over the interval. If it is continuous it is probably differentiable

Does the function have any sharp turns in the interval. A sharp turn means it is not differentiable at that point and therefore not differentiable on the entire interval

f(x)=e⁴⁻ˣ is differentiable over (-5, 5)This is because the exponential function is continuous and infinitely differentiable

Hence, the function f(x)=e⁴⁻ˣ   is differentiable for all values of x over the interval (-5,5)

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