Question 8: The equation of motion of a particle is

s = t^3 4t^2 + 2t + 8
Where s is in meters
and t is in seconds

Find the acceleration after t=5 seconds.

The coordinates of points C, E and G are respectively; C(-0.75, 8.5),  E(3.75, 7.5) and H(7.5, 6)

We are told that the line AB is divided into 7 equally spaced points labelled as C, D, E, F, G, H and I.

Now, coordinates of A and B are; A(-3, 9) and B(9, 5)

Since they are equally spaced, then it means that point F is the midpoint of the line. If (x, y) is the coordinate of F, then;

x, y = (-3 + 9)/2, (9 + 5)/2

x, y = (6, 7)

H is the midpoint of FB. Thus;

H(x, y) = (6 + 9)/2, (5 + 7)/2

H(x, y) = (7.5, 6)

D is midpoint of A and F. Thus;

D(x, y) = (-3 + 6)/2, (9 + 7)/2

D(x, y) = (1.5, 8)

E is midpoint of F and D. Thus;

E(x, y) = (1.5 + 6)/2, (8 + 7)/2

E(x, y) = (3.75, 7.5)

C is midpoint of D and A. Thus;

C(x, y) = (-3 + 1.5)/2, (9 + 8)/2

C(x, y) = (-0.75, 8.5)

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Answer:

Select the correct answer from each drop-down menu.

Segment AB has seven equally spaced points on it. Starting at A and moving left to right, the points are C, D, E, F, G, H, and I.

In the diagram,  is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5).

The coordinates of point C are

.

The coordinates of point E are

.

The coordinates of point H are

.

cordinates for c are -1.5, 8.5 E is 1.5, 7.5 H is 6,6

Step-by-step explanation:

Answer: The answer is 2289.06

Step-by-step explanation: I assume it’s a circle as it has a radius so simply multiply 3.14 by the radius 27^2

Answer:

246

Step-by-step explanation:

h = 2

t = 4

u = 6

t - h = 4 - 2 = 2

u = h + t = 2 + 4 = 6

a) We kindly invite to check the image attached below to see a detailed graph of the piecewise function.

b) The piecewise function is continuous.

A piecewise function is a conditional combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.

a) The piecewise function described in the question is plotted on a graphing tool (i.e. Desmos), whose result is presented in the image attached below.

b) A function is continuous if and only if there is one value from range for every value of domain. The piecewise function is continuous as linear functions are continuous and the two functions of the conditional combination have the same value for x = 30.

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Answer:

where the segment ??????!??!??!?

Step-by-step explanation:

give me the segment I may be able to answer

[tex]\frac{3}{2} =\frac{x}{12}[/tex]

---Cross multiply

2x = 36

---Divide both sides by 2

x = 18

Hope this helps!

Answer:

D. translation described by (x, y) → (x, y-6)

Step-by-step explanation:

The triangle stays in the same orientation just in a diffrent spot on the graph, that spot being 6 units down from where it starts.

Hi Student!

Looking at the problem statement, we are asked to find the place value of the 1 in the number 742.513.  Let's go from right to left and name each of the place values.  7 is in the hundreds place, 4 is in the tens place, 2 is in the ones place, 5 is in the tenths place, 1 is in the hundredths place, 3 is in the thousandths place.

Therefore, our final answer for which place value the number 1 in 742.513 is, we come to the conclusion of the hundredths place.

Answer:

x = 1

Step-by-step explanation:

you can first find the two zeroes

that would be

x + 2 = 0

x - 4 = 0

x = {-2, 4}

then you average them

-2 + 4 = 2

2 / 2 = 1

the aos is 1

Answer:

x=1

Step-by-step explanation:

[tex]y=x^{2} -4x+2x-8[/tex]
[tex]y=x^{2} -2x-8[/tex]   [tex](a=1, b=-2)[/tex]
[tex]x=-\frac{b}{2a} =\frac{-2}{2*1}[/tex]
[tex]x=1[/tex]
[tex]y=(x+2)(x-4), x=1[/tex]
[tex]y=(1+2)(1-4)[/tex]
[tex]y=-9[/tex]

Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.

According to this question, the person have decided to invest money to receive a monthly payment, meaning no savings and the adequacy of using the simple interest formula:

g = C · (r/100)     (1)

Where:

If we know that g = 1500 and r = 3.1/12, then the invested money must be:

C = 100 · g/r

C = 100 · [1500/(3.1/12)]

C = 580645.16

Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.

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Answer:

See Below

Step-by-step explanation:

Since PQ is perpendicular to RS, the angles PQR and PQS would be right angles, and right anglers are congruent, so <PQR ≅ <PQS. We are given that <R and <S are the same length, so they are congruent(<R ≅ <S). Since PQ is included in both triangles and it is the same length as itself(PQ ≅ PQ).

We have three congruent parts, two angles and one side. Therefore, using AAS, ΔPQR ≅ ΔPQS

Answer:

See below ~

Step-by-step explanation:

Given :

⇒ PQ ⊥ RS

⇒ ∠R = ∠S

===============================================================

Solving :

⇒ PQ = PQ (common side)

⇒ ∠R = ∠S (given)

⇒ ∠PQS = ∠PQR = 90° (⊥ bisector forms equal right angles)

⇒ ΔPQR ≅ ΔPQS (by ASA congruence)

4² is simplified expression for  [tex]\frac{4^{4} 4^{3} }{4^{5} }[/tex].

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

Here, Given expression = [tex]\frac{4^{4} 4^{3} }{4^{5} }[/tex]

[tex]\frac{4^{4} 4^{3} }{4^{5} }[/tex] = [tex]\frac{4^{4+3} }{4^{5} }[/tex]

      = 4⁷/4⁵

      = 4⁷⁻⁵

      = 4²

Thus, 4² is simplified expression for [tex]\frac{4^{4} 4^{3} }{4^{5} }[/tex].

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Answer:

K=3.5

Step-by-step explanation:

1. y/x=k

2. 7/2 or

[tex]7 \div 2 =[/tex]

( 3.5 )

3. 10.5/3 or divided by 3 is 3.5

4. Continue divided y/x and if you get same answer than your constant of proportionality is 3.5 only for this question.

Answer:

Step-by-step explanation:

x^2 + 20^2 = 25^2

x^2 + 400 = 625

625-400=225

sqrt(225) = 15

x = 15

The volume of 10 ounces of lemonade in litres is 0.295735 litres.

He needs 10 ounces of lemonade.

To know the volume in litres, we have to convert from ounces to litres.

Therefore,

1 ounces = 0.0295735 litres

10 ounces = ?

cross multiply

volume in litres = 0.0295735 × 10

volume in litres = 0.295735

Therefore, the volume of the lemonade in litres is 0.295735 litres.

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Answer:

I'm not really sure what you mean by the numbers because that's alot.

Step-by-step explanation:

But all you have to do is:

Plus the morning and evening amount and then times it by 5

Like this: y + z x 5

I hope this helped!
Sorry if it didnt...

But have a nice day

Answer:

E looks like it is most congruent

Step-by-step explanation:

Answer:

30 % off

Step-by-step explanation:

12 dollars off of 40

40 (x) = 12

x = 12/40 = .3     or  30 %

PURRRRRR:

yeat or cartiiii

ANSWER:

The product of the functions is 3x³ - 6x² + 5x - 10

Composite functions

Given the following functions expressed as

f(x) = 3x² + 5

g(x) = x - 2

In order to determine the value of (fg)x, we will take the product of the functions as shown

f(x)g(x) = 3x²+5)(x-2)

Expand to have;

f(x)g(x) = 3x³ - 6x² + 5x - 10

Hence the product of the functions is 3x³ - 6x² + 5x - 10

Answer:

x/3 - 8 =15

x/3 =15+8

69/3 =23

69 =23*3

69. =69

Answer:

0.2683281573

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

They are asking you to combine like terms. The total should be 180.

Givens

2 angles

Total 180

Solution

8x - 3 + 4x + 3 = 180        The threes cancel. So add what's left. They are of opposite signs, so they cancel.

12x = 180                           Divide both sides by 12

12x/12 = 180 /12                        

x = 15

In this question we are provided with the two angles that is 8x - 3 and 4x + 3 respectively. It is also given that the sum of this two angles is 180°.

To solve this question we will combine the like terms and there sum must be 180°.

[tex] \small\sf{ 8x - 3 + 4x + 3 = 180°} [/tex]

[tex] \bull \: \small\sf{ We \: will \: cancel \: 3 \: because \: they \: are \: of \: opposite \: signs }[/tex]

[tex] \small\rm 8x + 4x = 180 \degree[/tex]

[tex] \bull \: \small\sf{Addition} [/tex]

[tex] \small\rm{ 12x = 180 \degree}[/tex]

[tex] \bull \: \small\sf{ Divide\: both \: side \: by \: 12}[/tex]

[tex] \small\rm{ \dfrac{12x}{12} = \dfrac{180}{12} \: = 15 \degree}[/tex]

[tex] \small \underline{ \boxed{\sf{x = 15} }}[/tex]

[tex] \rule{71mm}{4pt}[/tex]

Answer:

1) x + 1

2) y - 0

3) 9

Step-by-step explanation:

Answer:

the first answer is (x+1) the second box (y-0) and the last box is 9

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The format for a coordinate pair is (x-coordinate, y-coordinate). This means the y-coordinate comes second, and since the 7 comes second here we can say that 7 is the y-coordinate.

That is the answer

- Kan Academy Advance

The method that can be used to randomly choose these 500 people is the use of systematic random sampling.

Random sampling is defined as the method of sampling in which the whole sampling frame is being considered.

In order the survey a community of people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park, both the male and female should be considered.

The systematic random sampling will give the both male and female equal opportunity to the chosen.

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The amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.

It is defined as the function which is in the form of cosine waves in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.

We have a cos function:

y = 3/2 cos(3x) + 1

We know,

f(x) = acos(bx - c) + d

The above function represents the cos function where:

a = amplitude

b = is the period of the function

c = phase shift

d = vertical shift

On comparing we get:

a = 3/2

Thus, the amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.

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Answer:

the answer to that question is 12,600 rupees

The solutions to the trigonometric inequality in the interval is given by:

[tex]\frac{\pi}{6} \leq x \leq \frac{5\pi}{6}[/tex], or [tex]\frac{7\pi}{6} \leq x \leq \frac{11\pi}{6}[/tex]

It is given by:

[tex]\sin^{2}{x} > \cos{x}[/tex]

We have the following identity:

[tex]\sin^2{x} = 2\sin{x}\cos{x}[/tex]

Hence:

[tex]2\sin{x}\cos{x} > \cos{x}[/tex]

[tex]2\sin{x} > 1[/tex]

[tex]\sin{x} > \frac{1}{2}[/tex]

Between the first and second quadrant, the solution is:

[tex]\frac{\pi}{6} \leq x \leq \frac{5\pi}{6}[/tex]

Between the third and fourth quadrants, the solution is:

[tex]\frac{7\pi}{6} \leq x \leq \frac{11\pi}{6}[/tex]

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