Please Help me!!!
The displacement of a particle d (in km) as a function of time t (in hours) is given by: () = 2^3 + 5^2 − 3 Find the displacement, velocity and acceleration at t = 4 hours. Indicate the correct units for each of these quantities.

Answer:

[tex]\huge\boxed{C.\ \dfrac{kg}{m^3}}[/tex]

Step-by-step explanation:

[tex]density=\dfrac{mass}{volume}\\\\\text{the unit of mass is}\ kg\\\text{the unit of volume is}\ m^3\\\\\text{therefore the unit of density is}\ \dfrac{kg}{m^3}[/tex]

Answer:

$54 for 4 months   $89 in total

Step-by-step explanation:

Lisa paid $35 at first

then she paid 0.75  per song which is 0.75 *18 = $13.5

Then just multiply 13.5 by 4 b/c of 4 months

The total amount Liza has spent after 4 months is $89.

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”. For example, 2x – 5 = 13.

Given that, Lisa paid $35.00 to join an online music service, she purchases 18 songs each month at a cost of $0.75 per song,

we need to find the total amount she paid after 4 months,

So, the cost of 18 songs = 0.75 x 18 = $13.5

The cost of 18 songs in 4 months = $54

Now, the total amount she paid = $54 + $35 = $89

Hence, the total amount Liza has spent after 4 months is $89.

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Answer:

Option 2 and option 4

Step-by-step explanation:

option 2:

(2,2) ; (2*2 , 2*2)= (4,4) ;  (2*3, 2*3) = (6 , 6)

Option 4:

(4 ,1 ) ; (4*2 , 1*2) = (8 , 2) ;  (4*3 , 1*3) = (12 , 3)

Answer:

$135,629.37

Step-by-step explanation:

For computing the interest amount first we need to find out the monthly payment, present value, monthly payment and finally the interest amount which is shown below with the help of an attached spreadsheet

The value of the loan could come by

= $239,127 - $239,127 × 15%

= $203,257.95

The amount of interest saved is

= ($1,905 × 20 × 12) - ($1,399.18 × 20 × 12)

= $135,629.37

Answer:

m(∠OAC) = 52°

Step-by-step explanation:

A, B and C are the pints on a circle with center O.

m(∠ABC) = 38°

By the central angle theorem,

"Central angle subtended by two points on a circle measure the twice of the inscribed angle subtended by these points."

m(∠AOC) = 2m(∠ABC)

m(∠AOC) = 2 × 38° = 76°

Now in ΔAOC,

AO and OC are the radii, so the angles opposite to radii will measure the same.

∠OAC ≅ ∠OCA

Since, sum of all the interior angles of a triangle is 180°.

m(∠OAC) + m(∠OCA) + m(∠AOC) = 180°

m(∠OAC) + m(∠OAC) + 76° = 180°

2m(∠OAC) = 180° - 76°

2m(∠OAC) = 104°

m(∠OAC) = 52°

Answer:

[tex]1.\ 10+x+ 8 = 18+ x[/tex]

[tex]2.\ 9(3x) = 27x[/tex]

[tex]3.\ \frac{1}{2}(10x) + 7 - 3 = 5x + 4[/tex]

[tex]4.\ -5(4x) = -20x[/tex]

[tex]5.\ 10 - 2 (8x) - 3 = 7 - 16x[/tex]

[tex]6.\ 3(7x) + 3 (-5) = 21x -15[/tex]

Step-by-step explanation:

Required

Solve each expression

[tex]1.\ 10+x+ 8[/tex]

Start by collecting like terms

[tex]10+ 8+x[/tex]

Add like terms

[tex]18+x[/tex]

The expression can't be solved further

Hence; [tex]10+x+ 8 = 18+ x[/tex]

[tex]2.\ 9(3x)[/tex]

Open the bracket

[tex]9 * 3x[/tex]

[tex]27x[/tex]

The expression can't be solved further

Hence, [tex]9(3x) = 27x[/tex]

[tex]3.\ \frac{1}{2}(10x) + 7 - 3[/tex]

Open bracket

[tex]\frac{1}{2} * 10x + 7 - 3[/tex]

[tex]5x + 7 - 3[/tex]

[tex]5x + 4[/tex]

The expression can't be solved further;

Hence, [tex]\frac{1}{2}(10x) + 7 - 3 = 5x + 4[/tex]

[tex]4.\ -5(4x)[/tex]

Open the bracket

[tex]-5 * 4x[/tex]

[tex]-20x[/tex]

The expression can't be solved further

Hence, [tex]-5(4x) = -20x[/tex]

[tex]5.\ 10 - 2 (8x) - 3[/tex]

Open Bracket

[tex]10 - 2 *8x - 3[/tex]

[tex]10 - 16x - 3[/tex]

Collect like terms

[tex]10 - 3 - 16x[/tex]

[tex]7 - 16x[/tex]

The expression can't be solved further

Hence, [tex]10 - 2 (8x) - 3 = 7 - 16x[/tex]

[tex]6.\ 3(7x) + 3 (-5)[/tex]

Open both brackets

[tex]3*7x + 3 * -5[/tex]

[tex]21x -15[/tex]

The expression can't be solved further

Hence, [tex]3(7x) + 3 (-5) = 21x -15[/tex]

Answer:

x = 25

Step-by-step explanation:

Since it is an equilateral triangle it means that all the sides are 50. Each side is equal so, if you divide 150 by 3 you get 50. (and since perimeter is the adding of each side)

Now you want to try to figure out what the altitude is of the triangle so you divide it in half. Making the bottom side length now 25 because half of 50 is 25. You now have to use Pythagoreans theorem to figure out the altitude:

c^2 - a^2 = b^2

50^2 - 25^2 = b^2

2500 - 625 = b^2

1875 = b^2

√1875 = b

43.30127019

now you put that into the expression: x√3:

x√3 = 43.30127019

x = (43.30127019) ÷ (√3)

x = 25

Hope this helped!

Answer:

The answer is B. 30 seconds

Answer:

The answer is solution D.

Step-by-step explanation:

130 + 12.50p ≤ 1500

The 130 is the setup fee

The 12.50 is the amount to pay per person

p means the number of people

The symbol ≤ means smaller than or equal to so it could be either of those

The 1500 is the max amount of money that they could spend for the party.

Answer:

quadratic

Step-by-step explanation:

Linear function is represented by the data given on the table.

" Linear equation is an algebraic expression in which highest exponent of the given variables is one. It represent a straight line."

General form of linear equation

y = ax + b

According to the data given in the table,

When x = 0 , y = -3 ,

Substitute the given values of x and y in general form of linear equation

- 3 = a × 0 + b                          

⇒ - 3 = b                                 ____(1)

When x = 1 , y = 5

  5 = a × 1 + b                        

  5 = a + b                                         ____(2)

Substitute the value of b in (2) we get,

 5 = a + ( -3)

⇒ a = 8

Substitute the value of 'a' and 'b' in general form of linear equation and check whether it is true for other values of x and y.

y = 8x  - 3

check for the x = 2

   y = 8(2) -3

⇒ y = 13

Yes , it is correct.

When x =3

   y = 8 (3) - 3

⇒ y = 21

It is correct.

Hence, we conclude that Linear function is represented by the data given on the table.

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Answer:

144

Step-by-step explanation:

2(39+33)

2(72)

144

=144

Answer:

? = 140

Step-by-step explanation:

Use similar triangles and laws of proportions.

36/56 = 90/?

36 * ? = 56 * 90

? = 56 * 90/36

? = 140

Answer:

Step-by-step explanation:

Window is in the shape of rectangle

Area of the rectangular window = length * width

                                                     = 18 * 2

                                                     = 36 ft²

Answer:

36

Step-by-step explanation:

i got 100%(❁´◡`❁)

Rational exponents are quite simple really.  For instance, 2 to the power of 1/2 is the square root of two.  You take the numerator of the fraction and use that as the exponent and take the denominator and use it to root the number.  I know that sounds confusing, so I'll give a bunch of examples

2 to the power of 1/3

is the cube root of 2

2 to the power of 2/3

is the cube root of 2 to the power of 2, or the cube root of 4

2 to the power of 3/4

Is the 4th root of 2 to the power of 3, or the fourth root of 8

Hope it helps <3, if you have any questions just comment.

The required answer for the number of questions has been listed in the answer section.

Given that,
A number of questions are given

The function which is in format f(x) = a^x   where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Part A
What operation does the power 1/2 represent?
The power 1/2 represents the square root of the value i.e. x^{1/2} = √x

Part B
What operations that other fractional powers represent, such as 1/3, 1/4, and 2/3?
Power 1/3 represents the cube root i.e. x^{1/3} = ∛x
Similarly
Power 1 / 4 represents the fourth root.
Power 2 / 3 represents cube root of square i.e. (x²)^{2 / 3} = ∛x²

Thus, the solution to the question is mentioned above.

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Answer:

a = 1 ; b = -8 ; c = -5

Step-by-step explanation:

f(p) = p² - 8p  -5

a = co-efficient of p² = 1

b = co-efficient of p = -8

c = constant = -5

Answer:

D

Step-by-step explanation:

Δ KLM is equilateral ( 3 congruent angles ), thus 3 sides are congruent

KM = LM = 5

Δ MJK is isosceles ( base angles are congruent ), thus

MJ = KM = 5 , substitute value

x + 1 = 5 ( subtract 1 from both sides )

x = 4 → D

x=4

Step-by-step explanation:

all sides are 5 on the bottom triangle and the top triangle has 2 sides that are equal and one equals 5. there for it becomes x +1=5. 4

Answer:

road side cabins

Step-by-step explanation:

Answer:

There are 243 ways but the balls in the boxes.

Step-by-step explanation:

There are 109375 ways to put 5 balls in 2 boxes when the balls and boxes are distinguishable by using counting principles and combinatorics

To solve this problem,  use the concept of the multiplication principle, also known as the multiplication rule of counting.

Here's a step-by-step explanation:

Determine the number of choices for each ball: Since the balls are distinguishable, we have 5 choices for the first ball, 5 choices for the second ball, and so on, until we have 5 choices for the fifth ball. This can be represented as:

[tex]5 \times 5 \times 5 \times 5 \times 5.[/tex]

Determine the number of choices for each box: Since the boxes are distinguishable, each ball can be placed in either box 1 or box 2. Thus, there are 2 choices for each ball. This can be represented as:

[tex]2 \times 2 \times 2 \times 2 \times 2.[/tex]

To find the total number of ways, we multiply the number of choices for each ball with the number of choices for each box:

Total number of ways [tex]= (5 \times 5 \times5 \times5 \times5) \times(2 \times2 \times2 \times2 \times2)[/tex]

On multiply gives:

=  3125\times 32 = 109,375.

Therefore, there are 109375 ways to put 5 balls in 2 boxes when the balls and boxes are distinguishable.

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Answer:

512.

according to the instructions you are told to drag and carry the numbers in the box below to the correct destination in the sequence until the ninth value.

If its not correct drag to the trashcan to delete

Step-by-step explanation:

2, -4, 8, -16, 32, -64, 128, -256,512

that's the sequence to be filled in

Answer:

B

Step-by-step explanation:

Answer:

56 Hours

Step-by-step explanation:

=3+3+2+2+4=14

=14*4=56 Hours

Assuming that I read this correctly, Mohammad works 3 hours Monday, 3 hours Tuesday, 2 hours on Wednesday, 2 hours on Thursday and 4 hours on Friday. All you have to do is add all the hours he worked each week. So that would look like this. ->

3+3+2+2+4=14

Mohammad is working for 14 hours this week.

Since he has to know how many hours he is working this month (4 weeks) . He needs to multiply his weekly hours by 4. So 14*4 is 56.  

56 Hours is your answer

Answer:

The correct answer is:

[tex]g(x) = x+1[/tex]

Step-by-step explanation:

Given that:

[tex]h(x) = f\circ g(x)= \sqrt[3]{x+3}[/tex]

[tex]f(x) = \sqrt[3]{x+2}[/tex]

To find:

[tex]g(x) = ?[/tex]

Solution:

Let [tex]g(x) = m[/tex]

We have

[tex]f\circ g(x)= \sqrt[3]{x+3}\\OR\\f( g(x))= \sqrt[3]{x+3}[/tex]...... (1)

Now, we have let:

[tex]g(x) = m\\\therefore f(g(x)) = f(m)[/tex]

Putting x = in f(x), we get

[tex]f(x) = \sqrt[3]{x+2}\\\Rightarrow f(m) = \sqrt[3]{m+2}[/tex]....... (2)

Comparing equation (1) and (2):

[tex]\sqrt[3]{x+3} =\sqrt[3]{m+2}[/tex]

Taking cubes both sides:

[tex]x+3=m+2\\\Rightarrow m = x+3-2\\\Rightarrow m = x+1[/tex]

[tex]\therefore g(x) = x+1[/tex]

Hence,

The correct answer is:

[tex]g(x) = x+1[/tex]

The range of the data is 10.

Box plot, which is also known as box and whisker plot, is a method of graphically representing the measures like minimum, maximum and the quartiles of the data set.

Given is a box plot.

Range of a data set is the difference between the highest and the lowest point.

The highest and lowest point of the data set is the points where the whiskers of the box plot extends to.

Here, whiskers extends from 5 to 15.

Range = Maximum - Minimum

          = 15 - 5

          = 10

Hence the range of the data set is 10.

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Answer:

V = 65.548 cm³

Step-by-step explanation:

We have,

Volume of a ball is 4 cubic inches or [tex]4\ \text{inch}^3[/tex].

We know that, 1 inch = 2.54 cm

It is required to convert this volume to cubic centimetre or [tex]\text{cm}^3[/tex].

[tex]4\ \text{inch}^3=4\ \text{inch}^3\times (\dfrac{2.54\ \text{cm}}{1\ \text{inch}})^3\\\\V=65.548\ \text{cm}^3[/tex]

So, the volume of the ball is 65.548 cm³.

Answer:

92.7

Step-by-step explanation:

1.38 ÷ 2.6 = .53076923

this means ↑that number is what percent shadows covers

49.25 ÷ .53076923 = 92.7 (roughly)

Answer:

Option a

Step-by-step explanation:

This is a nice simple problem!

Given that the function f( x ) is equivalent to 3x + 400, respectively g( x ) = 5x + 200, all we are being asked to do is find their difference. Substitute the given values as such -

h( x ) = f( x ) - g( x )

⇒ h( x ) = ( 3x + 400 ) - ( 5x + 200 ) - Distribute negative sign, taking out ( )

⇒ h( x ) = 3x + 400 - 5x + 200 - Combine like elements

⇒ h( x ) = - 2x + 200

And there you have it! Our solution should be option a ( h( x ) = - 2x + 200 )

If you would like, there is a graph of the function in the attachment below.

Answer:

It's B on edge!

Answer: 121871

Step-by-step explanation:

Current population = 98000

Rate of increase = 3.7% / year

Total time = 2020 - 2014 = 6 years

Population in 2020 = 98000 * (1+ (3.7/100))^6

= 98000 * (1.037)^6  =  98000 * 1.243576 = 121870.505

Rounding off to nearest whole number we get the population = 121871

Answer:

121,871

Step-by-step explanation:

I took the quiz.

Answer:

1/4+1/16+1/64+1/256+1024

Sorry if i am wrong                                

If i am right please make me brainliest

Answer:

341/1024 (or) 0.333

Step-by-step explanation:

1st) 1/4 of 1 = 1/4

2nd) 1/4 of 1/4 = 1/16

3rd) 1/4 of 1/16 = 1/64

4th) 1/4 of 1/64 = 1/256

5th) 1/4 of 1/256=1/1,024

so 1/4+1/16+1/64+1/256+1/1024with the same common denominator is

256/1024+64/1024+ 16/1024+4/1024+1/1024=

341/1024