A garage door code has 5 digits. If no digit is repeated, how many codes are possible?

Hint: the possible digits are 0-9

Answers

Answer 1

Answer:

There are 30240 possible codes.

Step-by-step explanation:

For the first digit, there are 10 number choices possible:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

For the second digit, 9 number choices, because one of the digits cannot be repeated.

For the third, 8 number choices, because two of the digits cannot be repeated.

For the fourth, 7 number choices, because three of the digits cannot be repeated.

For the fifth, 6 number choices because four of the digits cannot be repeated.

Now multiply all the numbers, and you can see that there are 10*9*8*7*6, or 30240 codes possible.


Related Questions

Calcula el área de este hexágono. Datos: -lados 8 cm² -apotema 3'7cm²

Answers

Respuesta:

88,8 cm²

Explicación:

Consideremos un hexágono regular. Su apotema, la distancia más corta entre el centro del hexágono y uno de sus lados, es 3,7 cm y sus lados miden 8 cm.

Primero debemos calcular su perímetro, que es igual a la suma de sus 6 lados.

Perímetro = 8 cm + 8 cm + 8 cm + 8 cm + 8 cm + 8 cm = 48 cm

Luego, podemos calcular el área del hexágono usando la siguiente fórmula:

Area = Perímetro × Apotema / 2

Area = 48 cm × 3,7 cm / 2 = 88,8 cm²


Lynette has a metal doorstop with the dimensions shown.
Each cubic centimeter of the metal in the doorstop has a mass
of about 8.3 grams. Find the volume of the metal in the
doorstop. Then find the mass of the doorstop.


Answers

Volume = 105in³

Mass = 871.5g

To find the volume of the metal we can find the area of a base, and multiply it by the prism's width.

The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³

The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Answers

SA= 246
if this is right please mark as brainliest

The Osborn family goes out to dinner, and the price of the meal is $60. The sales tax on the meal is 7%, and they also want to leave a 15% tip. What is the total cost of the meal?

Answers

the total cost of the meal is $73.83


[tex]x + y = 0 \\ y = {x}^{2} + 2xy[/tex]

can any one tell this answer with dafination and all steps​

Answers

Answer:

(1, -1)

Step-by-step explanation:

Given the expression

x+y = 0 .....1

y = x²+2xy ....2

From equation 1, x = -y

Substitute into 3

y = x²+2xy

y = (-y)²+2(-y)y

y = y²-2y²

y = -y²

1 = -y

y = -1

Since x = -y

x = -(-1)

x = 1

Hence the required solution is (1, -1)

pls hekp put in sections

Answers

B

0.68 is repeated 8 times elevated with its expressed fraction. Simplesst form will stay the same

(if i had my work that i did on paper for this than i would send it but i cant find it sorry)

(branliest will be appreciated)

A company sells $982 worth of
merchandise this month. This is $40
more than twice the amount
they sold last month. Write a equation
to determine how much they sold
last month.

Answers

Answer:

2x+40=982

Step-by-step explanation:

How do I solve this arithmetic sequence?

Answers

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

Which statement is true about the equation

It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.

Answers

Answer:

it has one solution which is 4

Answer:

hope this helps you......

A space probe flies by a planet in an hyperbolic orbit. It reaches the vertex of its orbit at (5,0) and then travels along a 2 path that gets closer and closer to the line y=-x. Write an equation that describes the path of the space probe if the 5 center of its hyperbolic orbit is at (0,0).​

Answers

Answer:

[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

Step-by-step explanation:

Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).

So, we use the equation in standard form

[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]

Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.

Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,

-bx/a = -x ⇒ b/a = 1 ⇒ a = b

Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²

substituting c = 5 and a = b into the equation, we have

c² = a² + b²

5² = a² + a²

25 = 2a²

a² = 25/2

a = √(25/2)

a = ±5/√2

rationalizing, we have

a = ±5/√2 × √2/√2

a = ±5√2/2

Since a = b, b = ±5√2/2

Inserting a and b into the equation for the hyperbola, we have

[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

So, the required equation is

[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

help I don’t know how I’m supposed to do this

Answers

Answer: So, you got the length of side C. You now need to find what 10 is squared, then what plus what (in squared gates you there). A squared plus B squared is C squared. It is basic Pythagorean Threom.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For this I think you should know what SOH-CAH-TOA is, if not here.

O=opposite, A=adjacent(side), and H=-hypotenuse. We see they give us the right angle we need to solve, remember that we need the angle to the side of the right angle. Now S=sin, C=cos, T=tan, with these we use them to solve in the calculator. If you don't have a calculator, its going to be hard. But if you have a Ti-84 then set it to Degree mode. Ok moving on, We see they give us the adjacent and the hypotenuse, not the opposite.(from the given angle) So we can take off, SOH and TOA, see it doesn't have or has the incorrect sides. So we have left CAH.

Equation time:

, we see that the x is on top so we just multiply....

[tex]cos36(10)[/tex]= 8.090

I hope this helps!

7 3/4 + 3 5/6 - 1 3/4​

Answers

Answer:

This does not have to be complicated.

Just subtract 1 3/4 from 7 3/4 to get 6. Now add the 3 5/6 to that for a total of 9 5/6

Step-by-step explanation:

f(-3)=x^2+4

just need help with this

Answers

Step-by-step explanation:

f(-3)=(-3)^2+4

=9+4

=13

hope it helps u dear friend

Answer:

Step-by-step explanation:

Given

f(x) = x² + 4

Now

f(- 3) = (-3)² + 4

       = 9 + 4

       = 13

hope it helps :)

In Ty's English class, 70% of the students completed an essay by the due date. There are 30 students in Ty's English class. How
many completed the essay by the due date?

Please help out and explain the best you can ! Thank u !:))

Answers

Answer:

21 people completed the assignment by the due date, hope this helps !!!

Step-by-step explanation:

70% of 30 is 21 according to my calculator lol :D

brainliest would be swag ?

Ike's igloo sold 501 ice cream cones today.They sold half as many chocolate ice cream cone as vanilla ones. How many of each were sold?

Answers

Answer:

Chocolate cones = x = 167 cones

Vanilla cones = y = 334 cones

Step-by-step explanation:

Let

The number of Chocolate cones = x

Vanilla cones = y

Ike's igloo sold 501 ice cream cones today.

x + y = 501.... Equation 1

They sold half as many chocolate ice cream cone as vanilla ones.

x = 1/2y

x = y/2

Cross multiply

y = 2x

We substitute 2x for y in Equation 1

x + 2x = 501

3x = 501

x = 501/3

x = 167

Solving for y

y = 2x

y = 2 × 167

y = 334

Therefore,

The number of

Chocolate cones = x = 167 cones

Vanilla cones = y = 334 cones

Solve x + 10 > 14. Then graph the solution.

Answers

Answer:

x>4

Step-by-step explanation:

True or False: A secant passes through a circle once where as a tangent passes through a
circle twice.

Answers

Answer:

false

Step-by-step explanation:

A secant of a curve is a line that intersects the curve at least twice.

A - 3/4 = 1/8 step by step explanation

Answers

Answer:

A-3/4=1/8 is the equation, if you expand 3/4 it is 6/8, in order to get 1/8 you need to subtract 6/8 from 7/8

7/8-6/8=1/8 therefor A=7/8

How do I find the circumference?

Answers

The formula for circumference is 2(3.14)r
r = radius

There are 70 dogs and 55 cats at the shelter. 15 of these animals get adopted . What is the percent of the animals that got adopted

Answers

Answer: 12%

Step-by-step explanation:

Given

There are 70 dogs and 55 cats at the shelter

If 15 animals are adopted

Total no of animals =70+55=125

Percent of animals adopted is given by

[tex]\Rightarrow \dfrac{\text{Animals adopted}}{\text{Total animals}}\times 100\\\\\Rightarrow \dfrac{15}{125}\times 100=12\%[/tex]

the altitude is drawn from the vertex angle of an isosceles triangle and is 15 cm long, if the base of the triangle is 16 cm long, how long are the legs?

Answers

they are about 400cm long just make sure u put that

Write the equation of the line that passes
through the points (-7,-9) and (-3,-1)

Answers

Answer:

2x + 5

Step-by-step explanation:

I am assuming you are talking about a linear function. If it is, then the equation would be:

2x + 5.

Hope this helps!

Answer:

[tex]y = 2x + 5[/tex]

Step-by-step explanation:

For this example, I used the slope-intercept form, [tex]y = mx + b[/tex], where m represents the slope and b represents the y-intercept.

In order to find the equation, we must find the slope and y-intercept.

Finding m

The slope can be found with the formula:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex], where the x and y variables represent different x and y values from the given points.

Substituting in values from the points, we get:

[tex]m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2[/tex]

Finding b

In order to find the y-intercept, we must substitute the slope back into the original equation:

[tex]y = 2x + b[/tex]

After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.

[tex]-1 = 2(-3) + b\\-1 = -6 + b\\5 = b[/tex]

Finding the equation

After this, all that must be done is to substitute the values for b and m back into the original equation.

[tex]y = 2x + 5[/tex]

To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.

[tex](-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9[/tex]

help me out, thank you !

Answers

Answer: 12.4

Explanation: a ^2 +b^2 = c^2
7^2 + 10.2^2 = c^2
49 + 104.04=c^2
153.04 =c^2
c ≈ 12.37
Round: 12.4

PLEASE HELP RIGHT NOW ASAP IF CORRECT I WILL GIVE BRAINLIEST HELP NOW

Answers

Answer:

x^4

is the answer

Second one is 5^5 if it’s multiplying powers you add them if it’s divide you subtract the powers

Select all statements that show correct reasoning for finding 15 ÷ 2/9 * Multiply 15 by 2, then divide by 9. Multiply 15 by 9, then divide by 2. Multiply 15 by 1/9, then multiply by 2. Multiply 15 by 9, then multiply by 1/2

Answers

Answer:

Multiply 15 by 9, then divide by 2.

Step-by-step explanation:

We need to solve the given expression.

[tex]15\div \dfrac{2}{9}[/tex]

We know that, [tex]a\div \dfrac{b}{c}=a\times \dfrac{c}{b}[/tex]

We have,

a = 15, b = 2 and c = 9

So,

[tex]15\div \dfrac{2}{9}=15\times \dfrac{9}{2}\\\\=\dfrac{15\times 9}{2}\\\\=\dfrac{135}{2}\\\\=67.5[/tex]

So, the steps are "Multiply 15 by 9, then divide by 2".

hello please help i’ll give brainliest

Answers

Answer:

1

Step-by-step explanation:

Help please ! 11x+4<15 or 12x+7>-25

Answers

Answer:

A

Step-by-step explanation:

From the first inequality,we got:

11x+4<15

11x<11

x<1

From the second inequality,we got:

12x>-18

x>-3/2

Combine it together we got

-3/2<x<1

Answer:

All values of x are solutions

Step-by-step explanation:

Find the area of a sector of a circle with radius 7 cm and and central angle 240°.

Answers

The formula for finding area of a sector is angle/360 * area. Now plug in. Area of whole circle is 49pi. Central angle is 240. 240/360 = 2/3. 2/3*49pi = 98pi/3

Answer:

103 cm^2

i just took the quick check

hii please help asap ill give brainliest thanks

Answers

Answer: A) Buddhism

Step-by-step explanation:

Answer:

Thee answer is A. Buddhism. Hope this helps!

Step-by-step explanation:

Find the area. 7 in. 5 in. 12 in. ​

Answers

Answer:

I believe its 47.5

Hope this helps!

Answer:

142.5

Step-by-step explanation:

1/2×5×(7+12)=142.5

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