A rope is fixed between two trees that are 10 metres apart. When a child hangs on to the centre of the rope, it sags so that the centre is 2 metres below the level of the ends. Find the lenth of the rope.​

The meaning of the 4! ( factorial ) in mathematics is equal to                    ( 4 × 3 × 2 × 1 ).

As given in the question,

Given expression in mathematics is written as :

4! ( factorial )

In standard form meaning of the n! ( factorial ) is given by multiplication of all the terms in decreasing order till 1.

It is expressed as:

n! = n × ( n - 1 ) × ( n - 2 ) × ( n - 3 ) × ........× 3 × 2 × (n - (n - 1) ).

Apply this formula for 4! ( factorial ) we get,

4! ( factorial )

= 4 × ( 4 - 1 ) × ( 4 - 2 ) ×( 4 - 3)

= 4 × 3 × 2 × 1

= 12

Therefore, the meaning of 4! ( factorial ) in mathematics is given by

4 × 3 × 2 × 1 .

The above question is incomplete , the complete question is :

What does 4! ( factorial ) mean in mathematics?

learn more about factorial here

brainly.com/question/16003649

#SPJ4

Answer:

rectangular prism, 6 faces, 8 vertices

Answer:

The figure is a rectangular prism with 6 faces, moreover, it has 8 vertices.

Answer:

Vertex (-2.5,-300)

Step-by-step explanation:

We are given with h(t)=-16 t^2 +80 t.  We are asked to find the vertex.

X-coordinate of vertex =[tex]\frac{-b}{2a}[/tex]

Where 'a' is coefficient of [tex]t^{2}[/tex] term

'b' is coefficient of 't' term.

From given function, a= -16

b=80

So,

x-coordinate of vertex =[tex]\frac{-80}{2(-16)}[/tex]

                                =-2.5

y-coordinate of vertex =[tex]-16(-2.5)^{2} +80(-2.5)[/tex]

Simplify it,

            =-100 -200

           = -300

So, vertex is at (-2.5, -300).

Answer:

√124

Step-by-step explanation:

a^2+b^2=c^2

x^2+101= 225

x^2= 225-101

x^2= √124

Answer:

Yes. If the first friend descended 0.11 mile (-0.11) and the second friend descended 0.12 mile (-0.12), then the second friend had to have caught up to the first friend knowing that the second friend descended at least 0.11 mile. Hope this helps :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

istg if one of yall roasts my dirty calculator

Answer:

Nope

Step-by-step explanation:

If it is a square garden, all sides are equal. Area would be 17x17 and that would equal [tex]289^{2} ft[/tex] not 34

Answer:

C. 9

Step-by-step explanation:

3 sock options, 3 shoe options for each of those sock options.

3 x 3 = 9

Answer:

I hope this helps you...

please mark me as brainliest..

Answer:

40 minute = 40 : 60 hours

= 4/6 [÷10]

= 2/3 [÷2]

distance = speed × time

distance = 99 kilometers/hours × 2/3 hours

distance = 33 × 2

distance = 66km

The inequality representing p, the number of people who can go to the amusement park, is given as follows:

10.5p + 16.5 ≤ 90.

The inequality for this problem is build considering the linear cost function, defined in slope-intercept format as follows:

C(p) = mp + b.

In which the parameters are given as follows:

Parking is $16.50, and tickets cost $10.50 per person, hence the numeric values of the slope and the intercept are given as follows:

m = 10.50, b = 16.50.

Thus the cost function is given as follows:

C(p) = 10.5p + 16.5.

They have no more than $90 to spend on parking and admission, hence the inequality is defined as follows:

C(p) ≤ 90.

10.5p + 16.5 ≤ 90.

More can be learned about inequalities at https://brainly.com/question/9290436

#SPJ1

Answer:

AC=35

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin54=AC/43

AC=43sin54

AC=34.78≈35

Answer:

Your answer is B, or the second one from the left

Answer: It would be the 2nd choice

Answer:

13

Step-by-step explanation:

Just In case you want explanation-

1. 4 squared Meaning 4 x 4 = 16

2. 16 x 6 = 96

3x 6 = 18

96- 18 = 78

in the denominator, 25/ 5 = 5

11 minus 5 = 6

78 divided by 6

it gives you 13

Answer:

13

Step-by-step explanation:

Order of operations:

Parenthesis, exponents, multiplication and division, addition and subtraction

A recursive formula for the sequence is:  f(n+1) = f(n)-99.4, n ≥ 1

Consider the given sequence.

99.4, 0, -99.4, -198.8, . . .

We can observe that each next term of the sequence is decreased by -99.4

i.e., f(0) = 99.4

f(1) = f(0) - 99.4

f(1) = 99.4 - 99.4

f(1) = 0

f(2) = f(1) - 99.4

f(2) = 0 - 99.4

f(2) = -99.4

From these calculations we can say that the n-th term would be,

f(n) = f(n - 1) - 99.4

Therefore, recursive formula:  f(n+1) = f(n) - 99.4

Learn more about the recursive formula here:

https://brainly.com/question/8972906

#SPJ4

Answer: To convert 20% profit into a profit amount, you would multiply 20% by the revenue or cost of the item or service.

Let's say,

You have revenue of $1000

So,

20/100 * 1000 = $200

So the 20% profit on the revenue of $1000 is $200.

It's important to note that profit is the amount of money you make after you subtract your costs from your revenue. It's the amount you have left after all the expenses, taxes and other deductions are made.

Step-by-step explanation:

The slopes of function 1 and function 2 are respectively; -4 and 2. Thus, function 1 has a negative slope

The slope is simply defined as the change in the y-values divided by corresponding change in x-values.

1) Now, the formula for the slope between two coordinates is;

Slope = (y₂ - y₁)/(x₂ - x₁)

Let us take two coordinates from the table as;

(0, 50) and (1, 46). Thus;

Slope = (46 - 50)/(1 - 0)

Slope = -4

2) The general equation for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, we are given the equation as;

c = 2d + 10

Comparing to the standard form, we have;

Slope = 2

Thus, function 1 has a negative slope

Read more about Linear Function Slope at; https://brainly.com/question/4025726

#SPJ1

Answer:

14 miles

Step-by-step explanation:

there are 14 units in between point (-5,3) and (2,3), and since each unit is 1 mile it would be 14 miles.

function f(x) = 75 - 4.5 w.

where w = number of weeks.

this question is related to function and solution is as follows,

The owner of a mall Restaurant bought rice = 75 kg

Each week, the restaurant use rice = 4. 5 kg

so we have to make an equation of function by which we can find out the remaining rice after w number of weeks,

f(x) = 75 - 4.5 w

where ,w = number of weeks

example, find out rice after 6 weeks

number of weeks (w) = 6

put it in the function,

f(x) = 75 - 4.5(6)

f(x) = 75 - 27

f(x) = 48.

so the function is ,f(x) = 75 - 4.5 w.

Learn more about function here :-

https://brainly.com/question/12431044

#SPJ4

Answer:

9.75

Step-by-step explanation:

3/4 |1/3x+2| < 6

you can turn the < into a =

then subtract 3/4 from 6 which leaves you with 5.25. And since you know 2 will always be positive because it's in an absolute value bracket 5.25-2=3.25. Which leaves you with

|1/3x| = 3.25

then do 3.25/(1/3) which leaves you with 9.75

:)

Answer:

12/7 or 1 5/7

Step-by-step explanation:

2/7=1/2, so 4/7=1. multiply 4 by three, since one times three equals three.

Answer:

6.2300, 6.2030, 6.1031, 6.1000

Step-by-step explanation:

Answer:

6.1, 6.1031, 6.203, 6.23

Answer:

A

Step-by-step explanation:

We first put in the coefficients of each log into the log using log laws

so 4 log b y would be log b y^4

3 log b x  would be log b x^3

we next use the addition log law

to find log b y^4 + log b x^3 = log b (y^4 * x^3)

and we are done now

the answer is A

if you found this helpful consider leaving a brainliest or a thanks

Answer:

[tex]log_{b} (y^{4} x^{3} )[/tex]

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The graph of the inverse variation equation is called a rectangular hyperbola.

A form of proportionality called inverse variation occurs when one number falls as the other rises or the other way around. This suggests that if one number rises while the other decreases, the magnitude or absolute value of the first quantity will decrease, resulting in a constant product. The constant of proportionality is another name for this item.

An inverse variation is a relationship between two variables in which the product is constant; as a result, while one of the variables changes, the other changes correspondingly to maintain the same value of the product. This connection has the form of a hyperbola.

To know more about inverse variation visit: brainly.com/question/11592410

#SPJ4

Answer:

7.5 which rounds to 8

Step-by-step explanation:

2,722 divided by 360 equals 7.56

check if needed <3

Answer:

Step-by-step explanation: It would take him 15 minutes more to mow the whole yard

1/2 hour is 30 mins divided by 2 which is 15 mines times 3 is 45 mins total mins