find the greatset common factor of 20 and 30

Answer:

yes

Step-by-step explanation:

Yes, it is possible for an object to have zero momentum. Momentum is defined as function the product of mass and velocity, so an object with zero mass or zero velocity will have zero momentum.

Momentum is a physical property of an object that is equal to the product of its mass and velocity. It is measured in kilogram meters per second (kg m/s) and is a vector quantity, meaning it has both magnitude and direction. In order for an object to have zero momentum, it must have either zero mass or zero velocity. An object with zero mass will always have zero momentum regardless of its velocity, while an object with zero velocity will only have zero momentum if its mass is also zero. An object with nonzero mass but zero velocity still has nonzero momentum if its mass is not zero. Therefore, it is possible for an object to have zero momentum.

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the complete question is

is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p) to explain

It is possible for an object to have No (Zero) momentum because Momentum is the product of mass and velocity, so the object with zero mass or zero velocity will have No momentum.

What is Momentum ?

The Momentum of an object is a vector quantity that is defined as the product of the mass and velocity , the unit of measurement if Kg m/s .

So , for the object to have No (zero) momentum, the object must have either zero mass or zero velocity. that means the object with zero mass will always have No (zero) momentum regardless of velocity of the object ,

whereas the object with 0 velocity will only have No (zero) momentum if the  mass is also 0 .

Therefore , By the Mathematical Definition of momentum , Yes , it is possible for the object to have No(zero) momentum .

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\(5^{w+3}=17\\\ln 5^{w+3}=\ln 17\\(w+3)\ln 5=\ln 17\\w+3=\dfrac{\ln 17}{\ln 5}\\w=\dfrac{\ln 17}{\ln 5}-3\)

Answer:

\(\huge\boxed{\sf w \approx -1.24}\)

Step-by-step explanation:

\(\displaystyle 5^{w+3}=17\)

Convert exponential form into logarithmic form.

We'll have:

\(log_{5}17=w+3\)

Using log calculator, log₅17 = 1.7604

So,

1.7604 = w + 3

1.7604 - 3 = w

-1.24 ≈ w

\(\rule[225]{225}{2}\)

Answer:

8 miles

Step-by-step explanation:

when its 3.5hours look to the left which is 8 miles

Answer:

Joe Biden

Step-by-step explanation:

Answer:

El presidente actual de los Estados Unidos es Joe Biden

Step-by-step explanation:

Answer:

The inequality 7.50c - 350 ≥ 700 can be used.

Step-by-step explanation:

Given that:

Amount spent on materials = $350

Amount the council needs to earn = $700

Selling price per corsage = $7.50

Number of corsages sold = c

Selling price per corsage * Number of corsages sold - amount spent on materials ≥ amount needs to be earned

\(7.50c - 350 \geq 700\)

Hence,

The inequality 7.50c - 350 ≥ 700 can be used.

         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}\)

             Solve x²-5x+6

\(\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}\)

(x-2)(x-3)

\(\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}\)

                      First, we think of two numbers such that

     If we multiply them, we'll get 6

      If we add them, we'll get -5

These numbers are -2 and -3.

Write them here:

(x-2)(x-3)

Now, how do we get (x-2)(x-3) from x(x-2)-3(x-2)?

Notice that (x-2) is the common term, so we factor it out:

(x-2)

And now, we write the other two terms that are left in the parentheses:

(And the terms left are x and -3)

(x-2)(x-3)

Notice that we ended up with the same answer.

           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

Figure G.

Step-by-step explanation:

Let's check through the values and calculate the radius and area for all the circle.

For circle R

Diameter = 2 feet

Radius= 1 feet

Area= πr²

Area= 3.14*1

Area= 3.14 feet²

CircleS

Diameter= 4 feet

Radius= 2 feet

Area= πr²

Area= 3.14*2²

Area= 12.56 feet²

Circle T

Diameter= 8 feet

Radius= 4 feet

Area = π r²

area= 3.14*4²

Area=50.24 feet²

Circle U

Diameter= 12 feet

Radius= 6 feet

Area = π r²

area= 3.14*6²

Area=113.04 feet²

The values of the radius and Area all match the graph in figure G

Triangle ADC also has a right angle at D, making it a right-angled triangle.

The exact value of x be 2.25.

The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.

Triangle ADB exists even a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADB = BD = 4,

Height of Triangle ADB = AD = 3,

Hypotenuse of Triangle ADB = AB

Using the Pythagoras Theorem, we get,

\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)

substitute the values in the above equation, we get

or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)

simplifying the equation, we get

or, \($(A B)^2=[9+16]$\)

or, \($(A B)^2=25$\)

or, \($\sqrt{(A B)^2}=\sqrt{25}$\)

or, AB = 25

Triangle ADC is also a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADC = DC = x

Height of Triangle ADC = AD = 3,

And, Hypotenuse of Triangle ADC = AC

Using the Pythagoras Theorem, we get,

\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)

simplifying the equation, we get

\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)

\(& \text { or },(A C)^2=\left[9+x^2\right]\)

Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,

Height of Triangle ABC = AB = 5,

And, Hypotenuse of Triangle ABC =  BC = (4 + x)

Using the Pythagoras Theorem, we get,

\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)

\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)

substitute the values in the above equation, we get

\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)

simplifying the equation, we get

\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)

\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)

8x - 18 = 0

8x = 18

\(& \text { or, } x=\frac{18}{8} \\\)

\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)

\(& \text { or, } x=\frac{9}{4} \\\)

Therefore, the value of x be 2.25.

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Answer:

768000

Step-by-step explanation:

From 1900 to 2020 = 120 means that it doubles 4 times ( once every 30 years)

=> 48000 * 2 ^ 4 = 768000

9514 1404 393

Answer:

  $403.75

Step-by-step explanation:

Joe worked 45 -40 = 5 hours of overtime this week. "Time and a half" means he will be paid for an additional 5/2 = 2.5 hours, so his gross pay this week is ...

  (45 +2.5)($8.50) = $403.75

Answer:

His average speed for the rest of the journey was of 48mph.

Step-by-step explanation:

We use the following relation to solve this question:

\(v = \frac{d}{t}\)

In which v is the velocity, d is the distance and t is the time.

First 32 miles at an average speed of 64mph.

So the time for these 32 miles is:

\(64 = \frac{32}{t}\)

\(64t = 32\)

\(t = \frac{32}{64}\)

\(t = 0.5\)

Rest of the trip:

200 - 32 = 168 miles in 4 - 0.5 = 3.5 hours. So the average speed is of:

\(v = \frac{d}{t} = \frac{168}{3.5} = 48\)

His average speed for the rest of the journey was of 48mph.

Answer:

x= 12/5

Step-by-step explanation:

Distribute the fraction and solve for x.

Answer:

C) -3/2

Step-by-step explanation:

Use m=(y2-y1)/(x2-x1)

Plug in the coordinates

(6--3)/(-1-5)

divide

=9/-6

simplify

=3/-2

=-3/2

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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The area of a regular pyramid is:

Where:

Ap = Area of the regular pyramid

Ab = Area of the basis

h = height of the pyramid

And, Ab is:

Where:

n = number of sides of the polygon

s = measure of the side of the polygon

a = apothem

So, to solve this question, follow the steps below.

Step 01: Find Ab.

To find Ab, let's extract the info from the problem:

n = 6

s = 12 cm.

a = 10.4 cm.

Then,

Step 02: Use Ab to find Ap.

From the problem:

h = 36 cm.

Then,

Answer: A) 4492.8 cm³.

The best estimate of \(-14\frac{1}{9} (-2\frac{9}{10})\) is option (d) 42

The given expression is \(-14\frac{1}{9} (-2\frac{9}{10})\)

First we have to convert the mixed fraction to the simple fraction

Mixed fraction is the a fraction represented with its quotient and remainder

Simple fraction is a fraction having whole numbers for the numerator and denominator.

The estimation is the process of calculating the approximate value of a process or calculation

First term is

\(-14\frac{1}{9}=-\frac{9(14)+1}{9}\)

= -127/9

The second term is \((-2\frac{9}{10})\)

Convert the mixed fraction to the simple fraction

\(-2\frac{9}{10}= -\frac{10(2)+9}{10}\)

= -29/10

Multiply first term and second term

(-127/9)×(-29/10) =  40.92

Hence, the best estimate of  \(-14\frac{1}{9} (-2\frac{9}{10})\) is option (d) 42

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Answer:

lord stop giving false answers to people and maybe they wont the do the same to you

Step-by-step explanation:

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

(-3,7)

Step-by-step explanation:

Hope it helps

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

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Step-by-step explanation:

The question is incomplete. Find the complete question in the attachment.

First you must know that a tossed coin can only produce a head (H) and a tail (T).

Sample space S1 = {H T}

When two coins are tossed, the possible outcomes are gotten by mapping another {H, T} to the previous sample space to have;

S2 = {HH, HT, TH, TT}

For three coin, the possible outcomes are gotten by mapping {H, T} to the previous sample space {HH, HT, TH, TT}to get S3

S3 = S1 × S2

S3 = {HHH, HHT HTH, HTT, THH, THT, TTH, TTT}

Hence the sample space of the experiment of tossing 3 coins is  {HHH, HHT HTH, HTT, THH, THT, TTH, TTT}

n(S3) = 8

b) From the sample space, you can see that the event having the first toss as a tail are E = {THH, THT, TTH, TTT}

n(E) = 4

Answer:

the average number of car(s) in the system is 1

Step-by-step explanation:

Given the data in the question;

Arrival rate; λ = 2.5 cars per hour

Service time; μ = 5 cars per hour

Since Arrivals follows Poisson probability distribution and service times follows exponential probability distribution.

Lq = λ² / [ μ( μ - λ ) ]

we substitute

Lq = (2.5)² / [ 5( 5 - 2.5 ) ]

Lq = 6.25 / [ 5 × 2.5 ]

Lq = 6.25 / 12.5

Lq = 0.5

Now, to get the average number of cars in the system, we say;

L = Lq + ( λ / μ )

we substitute

L = 0.5 + ( 2.5 / 5 )

L = 0.5 + 0.5

L = 1

Therefore, the average number of car(s) in the system is 1

Answer:

X=6

Step-by-step explanation:

5x+(x+54)=90

6x+54=90

6x=36

X=6

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

1.02 or 51/50

Step-by-step explanation:

First we convert the fraction 6/10, as a decimal

6/10 = 0.6

Then we simply multiply

1.7 × 0.6 = 1.02

Lastly we reduce

1.02 = 1 2/100 or 51/50

Answer:

While some call having one to two months' wages in reserve ideal, most financial experts say that the recommended emergency fund amount should cover three to six months' worth of household expenses. That's a great idea, and a key part of any sound financial plan, but it also requires some effort to achieve.