A mother duck lines her 5 ducklings up behind her. In how many ways can the ducklings line up?
Answer

Answers

Answer 1

Answer:

120

Step-by-step explanation:

There are 5 choices for the first duckling, 4 for the second, 3 for the third, 2 for the fourth and 1 for the fifth meaning that the answer is 5 * 4 * 3 * 2 * 1 = 5! = 120.


Related Questions

Zachary can't believe how bad London's traffic is today. In the past 10 minutes, his cab has barely moved 500 meters! He wonders if walking would have been faster. If Zachary walks at an average speed of 5 kilometers per hour, how many minutes would it take him to walk 500 meters?

Answers

Answer:

6 min

Step-by-step explanation:

5 kilometers = 5,000 meters

500/5,000 = 1/10 meaning it would take him 1/10 of an hour or 6 minutes to cover this distance.

Correctly identify the first step in solving the system of equations by using the elimination method given the following equations:

5x+y=5
10x+3y=20

Answers

Answer:

x=-1 and y=10

Step-by-step explanation:

-3(5x+y=5)

10x+3y=20

-15x-3y=-15

10x+3y=20

10x-15x+3y-3y=20-15

-5x=5

x=-1

5x+y=5

(-1)5+y=5

-5+y=5

y=10

What is the range of the function below?

Answers

Answer:

C

Step-by-step explanation:

f(x)=72-4x

72-4x=0

4x=72

x=18

f(x)<=18

Find the slope of the line will mark as brain
y
=
–9
4
x

1
4
.

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer negative 9 is the answer

Step-by-step explanation:






































Find the volume of the composite solid.

Answers

Answer:

Equal.

Step-by-step explanation:

The volume of the rectangular prism is:

V = length x width x height

V = 3a x 2b x c

V = 6abc

The volume of the pyramid is:

V = (base area x height)/3

V = (a x b x 18c)/3

V = 18abc/3

V = 6abc

The two volumes are equal.

Shiela either walks or cycles to school the probability that she walks is 0.65 if she walks the probability that she is late is 0.4 if she cycles the probability that she is late is 0.1 What is the probability that she will not be late for school

Answers

Answer:

0.705

Step-by-step explanation:

Data:

walks=0.65 and is late=0.4;is not late=0.6

cycles=0.35 and is late=0.1;is not late=0.9

The probability of sheila walking and not being late:  

0.65 x 0.6=0.39  

AND probability of being not late and cycling:

0.35 x 0.9=0.315

therefore,the probability of sheila walking or cycling and still not being late:

0.39+0.315=0.705

Charlie invests £1200 at 3.5% per annum compound interest.

Work out the value of Charlie's investment after 3 years.

Answers

Answer:

£1,330.46

Step-by-step explanation:

Using the compound interest formula [tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

A = amount compounded after n years

P = principal (amount invested)

r = rate (in %)

t = time (in years)

n = time used to compound the money

Given P =  £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)

[tex]A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46[/tex]

Value of Charlie's investment after 3 years is £1,330.46

x=12-1//3x
can anyone tell me the full answer

Answers

Answer:

x=9 is the answer......

Use the Law of Sines to complete an expression that represents the angle measure x.

Answers

Answer:

The length of a is equal to 14.9.

The angle measure of b is equal to 71°.

The length of c is equal to 25.5.

General Formulas and Concepts:
Pre-Calculus

Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]

Step-by-step explanation:

Step 1: Define

Identify given from triangle.

Length corresponding with x°: 14.9

Other given angle: 71°

Length corresponding with 71°: 25.5

Step 2: Find Values

[Law of Sines] Substitute in variables:
[tex]\displaystyle \frac{\sin x^\circ}{14.9} = \frac{\sin 71^\circ}{25.5}[/tex]Isolate x° term:
[tex]\displaystyle \sin x^\circ = \frac{14.9 \sin 71^\circ}{25.5}[/tex]Isolate x°:
[tex]\displaystyle x^\circ = \sin^{-1} \bigg( \frac{14.9 \sin 71^\circ}{25.5} \bigg)[/tex]Identify variables:
[tex]\displaystyle a = 14.9 , \ b = 71^\circ , \ c = 25.5[/tex]

∴ we have completed the expression using Law of Sines.

---

Topic: Precalculus

Unit: Trigonometry

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!

Answers

Answer:

625

Step-by-step explanation:

The maximum is the y-coordinate of the vertex. The vertex is (25, 625) so the answer is 625.

Somebody please help! And show your work!

Answers

a= 34 degrees

b= 28 degrees

c= 62 degrees

Step-by-step explanation:

First you know that b is 1/2 of 56 degrees or 28.

The triangle with the a in it is isoceles because the two sides are both radii.

In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.

Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.

We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.

a whole circle equals 360.

360-56-68-112 = 124

Angle c = 1/2 of 124, or 62 degrees

Xavier, Yaozhou and Zara had some beads. Xavier and Yauzhou had a total of 438 beads. Xavier and Zara had a total of 04 beads. Yaozhou had 3 times as many beads as Zara. How many beads did Xavier have?

Answers

Answer:

Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.

Step-by-step explanation:

Let the number of beads that Xavier has be x.

Let the number of beads that Yaozhou has be y.

Let the number of beads that Zara has be z.

The total number of beads they have altogether is 438. This means that:

x + y + z = 438 _______(1)

Xavier and Zara have a total of 204 beads. This means that:

x + z = 204

=> x = 204 - z _______(2)

Yaozhou has 3 times as many beads as Zara. This means that:

y = 3z _________________(3)

Put (2) and (3) in (1):

204 - z + 3z + z = 408

3z = 408 - 204 = 204

z = 204/3 = 68

From (2):

x = 204 - 68 = 136

From (3):

y = 3 * 68 = 204

Therefore, Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.

what is the value of this expression when c=4 c^3/2

Answers

Answer:

8

Step-by-step explanation:

c ^ 3/2

Let c = 4

4 ^ 3/2

Rewriting 4 as 2^2

2 ^2 ^3/2

We know that a^b^c = a^(b*c)

2 ^(2*3/2)

2 ^3

8

the right answer is 8.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment....

How long would it take you to reach 100 for the number of times you did your activity from this graph?
PLEASE HELP NOW
ILL GIVE YOU BRAINLIEST

Answers

Answer:

33 1/3 minutes

Step-by-step explanation:

I note x- number of sentences

          y=time

when  x=3, y=1

          x=6, y= 2

           I observe that for every 3 sentences I have one more minute ( y increases by 1)  so y= x/3

when x=99 i have y=99/3=33 minutes

          for x= 100 I have y=100/3minutes= 33  1/3 minutes

CORRECT AND CLEAR ANSWER WILL BE GIVEN BRAINLIEST An object of mass 0.30 kg is thrown vertically upwards and reaches a height of 8.0 m. Calculate: (a) it's final potential energy (b) The velocity with which it must be thrown, neglecting air resistance ( assuming g = 10m/s²)

Answers

Answer:

Final potential energy = 24 Joule

The velocity with which object must be thrown = [tex]4 \sqrt{10}[/tex] m/s

Step-by-step explanation:

Given:

Mass of object, m = 0.30 Kg

Height of object, h = 8 m

Acceleration due to gravity, g = 10 [tex]ms^{-2}[/tex]

a) Formula for Potential Energy:

[tex]E_p =mgh[/tex]

Where m is the mass of object

g is acceleration due to gravity and

h is the height of object

Putting the values of m, g and h

[tex]E_p = 0.3 \times 10 \times 8\\\Rightarrow E_p =24 J[/tex]

b) Formula for initial and final velocity:

[tex]v^{2} =u^{2} +2gh[/tex]

where v is the final velocity

u is the initial velocity with which the object is thrown

g is acceleration due to gravity and

h is the height obtained by object

here v = 0 at the height 8 m because it will come to rest at the point it attains the maximum height.

h = 8m

g = -10 [tex]ms^{-2}[/tex] (negative because the object's velocity is decreasing)

Putting the values to find 'u':

[tex]0^{2} =u^{2} +2 \times -10 \times 8\\\Rightarrow u^{2} = 160\\\Rightarrow u = 4 \sqrt{10}\ m/s[/tex]

Does anyone know the answer ?

Answers

Answer:

3.75

Use the pythogorean theorm for sqrt(6.25^2 - 5^2) = x

EASY question for y’all mathy people, easy points! Question in photo.

Answers

I think the answer is D

Answer:

Step-by-step explanation:

A linear function is a line which, in slope-intercept form, follows

y = mx + b,

where m is the slope and b is the y-intercept.

The only one that follows that form is B. B can be rewritten as

[tex]y=\frac{1}{3}x+2[/tex]

and in that form we see that the slope value is 1/3 and the y-intercept is 2. The choice is B.

A is a radical function moved up from its originating spot; C is an inverse function moved down 4 units from its originating spot with a vertical asymptote at x = 0; and D is a cubic moved down 10 units from its originating spot.

B is the one you want.

which numbers are solutions of the inequality x>-12 ? check all that apply.
-20
-12
-7
0.9
8.5
16

Answers

Answer:

- 7, 0.9, 8.5, 16

Step-by-step explanation:

It should be that x must be greater than - 12, so let us consider all options;

[tex]- 20 < - 12,\\- 12 = - 12,\\ - 7 > 12,\\ 0.9 > 12,\\8.5 > - 12,\\16 > - 12[/tex]

Let us substitute x as each of these values;

[tex]x < - 12,\\x = - 12,\\x > - 12,\\x > - 12,\\x > - 12,\\x > - 12[/tex]

As you can tell, the last 4 Options are applicable;

Solution ⇒ - 7, 0.9, 8.5, 16

The solutions to inequality are - 7, 0.9, 8.5, and 16.

What is inequality?

In mathematics, an inequality is a relation that makes a non-identical contrast between two numbers or other mathematical expressions.

What are the 5 types of inequality math?

greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), not equal to symbol (≠).

Learn more about inequality here https://brainly.com/question/11613554

#SPJ2

cuba is famous of which crop​

Answers

Sugarcane is Cuba’s famous crop. It is grown throughout the island, but mainly in the eastern half.

The polynomial f(x) is written in factored form: f(x) = (x − 3)(x + 8)(x − 11) What are the zeros of the polynomial function?
x = 3, x = 8, x = 11
x = 3, x = −8, x = 11
x = −3, x = 8, x = −11
x = −3, x = 3, x = −8, x = 8, x = −11, x = 11

Answers

Answer:

x=3               x = -8           x = 11

Step-by-step explanation:

f(x) = (x − 3)(x + 8)(x − 11)

Using the zero product property

0 = (x − 3)(x + 8)(x − 11)

0 = x-3      0 = x+8     0 = x-11

x=3               x = -8           x = 11

Answer:

x=3               x = -8           x = 11

Hope this helps!

A.) 10.9
B.) 8.6
C.) 7.3

Answers

Answer:

Option (c) 7.3

Step-by-step explanation:

Since is forms a right angled traingle,

a= 3+4= 7

b = 4-2= 2

c = AB

Pythagorean theorem:

a^2+b^2 = c^2

So since we know a and B but the hypotenuse (c) is missing

7^2 + 2^2 = c^2

c^2 = 49+4

= 53

c = √53

= 7.28 rounded off to 7.3

So the length of hypotenuse or c is 7.3 units

Therefore, the length is 7.3

What is the square root of 24 to the 16th power

Answers

Answer:

24 ^ 8

Step-by-step explanation:

sqrt(24) ^ 16th power

Rewriting the square root as  ^ 1/2

24 ^ 1/2 ^ 16

We know that a^b^c = a^ (b*c)

24 ^ (1/2*16)

24 ^ 8

Answer:

2²⁴ *3⁸ or  24⁸

Step-by-step explanation:

the square root of 24 to the 16th power  can be written as 24

([tex]\sqrt{24}[/tex] )¹⁶

√ means power of 1/2 so ([tex]\sqrt{24}[/tex] )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or

24 = 4*6 and [tex]\sqrt{24} = 2\sqrt{6}[/tex]

then (2[tex]\sqrt{6}[/tex] )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸

The table shows the scores of a biology test in Mrs. Smiths class . Find the mean of the data without Kim’s score.
A- 80
B- 87.2
C- 90
D- 84.5

Answers

To find the mean, you add up all the values and divide by how many there is. So... excluding Kim’s score there are 7 students scores. Now add all the scores up which will give you 611. 611/7 = 87.286

That will give you B

Hope this helps! :)

Answer:

87.2

Step-by-step explanation:

90+93+87+83+86+90+82=611

611/7=87.29

answer is b

true or false ? why and why not ?


8a - (8a - 8) is equivalent to 8

Answers

Answer:

True

Step-by-step explanation:

Apply the distributive property

8a-(8a)- -8

Multiply 8 by -1

8a-8a- -8

Multiply -1 by -8

8a-8a+8

Simplify by adding terms

Subtract 8a from 8a

0+8

Add 0 and 8

8

Hope this helps :)

How would I do this? Solve for q. –10 + 10q = 9q

Answers

Answer:

q=10

Step-by-step explanation:

-10+10q=9q

-10=-q

q=10

A school band decides to hold a bake sale to raise money. They withdrew $50 from the band's account for ingredients. The deposit they made back into the account from the sale was $140. What was the overall increase or decrease in the band's account?

Answers

Answer:

90

Step-by-step explanation:

140-50

this is because the band took 50 and got 140 to remove 50 from 140

identify the domain of the function shown in the graph.

A. x is all real numbers
B. 0<x<5
C. -5<x<5
D. x>0​

Answers

Answer:

A, all real numbers

Step-by-step explanation:

The domain is the x value and the x value is the domain.

So when you take a look at the x values, it keeps going on and on

So when x values or y values keep going on forever we call that all real numbers

Hope this helps! Plz mark brainliest!

please help me asap​

Answers

Answer:

that's the lowest term actually

30% of consumers prefer to purchase elecktronicks online you randomly select 8 consumers find the probability that the number of consumers who prefer to purchase electronics online is a exactly 5 be more than 5 &c at most 5

Answers

Answer:

see below

Step-by-step explanation:

Take the number of people surveyed and multiply by 30 %

8 * 30%

Change to decimal form

8 * .3

2.4

About 2.4 will purchase online

There are 120 males and 180 females in Albany Tennis Club.
Write the number of males to the number of females as a ratio in its simplest form.

Answers

2:3
Let me know if you want an explanation for it
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