The volume of the Jupiter is a 143300000000000 write the stradard form

A small combination lock on a suitcase has 55 wheels, each labeled with the 10 digits 0 to 9. How many 55 digit combinations ar

den301095 [7]

Suppose $a_n$ is the number of possible combinations for a suitcase with a lock consisting of $n$ wheels. If you added one more wheel onto the lock, there would only be 9 allowed possible digits you can use for the new wheel. This means the number of possible combinations for $n+1$ wheels, or $a_{n+1}$ is given recursively by the formula

$a_{n+1}=9a_n$

starting with $a_1=10$ (because you can start the combination with any one of the ten available digits 0 through 9).

For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).

By substitution, you have

$a_{n+1}=9a_n=9^2a_{n-1}=9^3a_{n-2}=\cdots=9^na_1=10\times9^n$

This means a lock with 55 wheels will have

$a_{55}=10\times9^{54}$

possible combinations (a number with 53 digits).

7 0

3 years ago

What is 720° converted to radians? <br> a) 1/4<br> b) pi/4<br> c) 4/pi<br> d) 4pi

baherus [9]

4π radians

<h3>Further explanation</h3>

We provide an angle of 720° that will be instantly converted to radians.

Recognize these:

$\boxed{ \ 1 \ revolution = 360 \ degrees = 2 \pi \ radians \ }$
$\boxed{ \ 0.5 \ revolutions = 180 \ degrees = \pi \ radians \ }$

From the conversion previous we can produce the formula as follows:

$\boxed{\boxed{ \ Radians = degrees \times \bigg( \frac{\pi }{180^0} \bigg) \ }}$
$\boxed{\boxed{ \ Degrees = radians \times \bigg( \frac{180^0}{\pi } \bigg) \ }}$

We can state the following:

Degrees to radians, multiply by $\frac{\pi }{180^0}$
Radians to degrees, multiply by $\frac{180^0}{\pi }$

Given α = 720°. Let us convert this degree to radians.

$\boxed{ \ \alpha = 720^0 \times \frac{\pi }{180^0} \ }$

720° and 180° crossed out. They can be divided by 180°.

$\boxed{ \ \alpha = 4 \times \pi \ }$

Hence, $\boxed{\boxed{ \ 720^0 = 4 \pi \ radians \ }}$

- - - - - - -

<u>Another example:</u>

Convert $\boxed{ \ \frac{4}{3} \pi \ radians \ }$ to degrees.

$\alpha = \frac{4}{3} \pi \ radians \rightarrow \alpha = \frac{4}{3} \pi \times \frac{180^0}{\pi }$

180° and 3 crossed out. Likewise with π.

Thus, $\boxed{\boxed{ \ \frac{4}{3} \pi \ radians = 240^0 \ }}$

<h3>Learn more </h3>

A triangle is rotated 90° about the origin brainly.com/question/2992432
The coordinates of the image of the point B after the triangle ABC is rotated 270° about the origin brainly.com/question/7437053
What is 270° converted to radians? brainly.com/question/3161884

Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula

6 0

3 years ago

Read 2 more answers

I need help please

ASHA 777 [7]

Answer:

the answer would be 81

Step-by-step explanation:

6 to the second power would be 36 then you would multiply 36x2 and it would equal 72. then you would do 2x6 which is 12. then 72+12-3= 81

5 0

3 years ago

John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages

oksano4ka [1.4K]

Answer:

John’s age is 8 years

Step-by-step explanation:

Let

x -----> John’s father's age

y -----> John’s age

z -----> John’s sister's age

we know that

$x=5y$ -----> equation A

$y=2z$

$z=y/2$ -----> equation B

$(x+2)+(y+2)+(z+2)=58$

$x+y+z+6=58$

$x+y+z=52$ -----> equation C

Substitute equation A and equation B in equation C and solve for y

$5y+y+y/2=52$

Multiply by 2 both sides to remove the fraction

$10y+2y+y=104$

$13y=104$

$y=8$

<em>Find the value of x</em>

$x=5(8)=40$

<em>Find the value of z</em>

$z=8/2=4$

therefore

John’s father's age is 40 years

John’s age is 8 years

John’s sister's age is 4 years

7 0

3 years ago

What is the answer I need the answer

scoray [572]

Answer:

The correct choice is A

Step-by-step explanation:

the definition of inverse is the opposite of something or different in direction so that would mean they want you to switch what they gave you so that would mean the answer is choice A

4 0

2 years ago

The volume of the Jupiter is a 143300000000000 write the stradard form​

The volume of the Jupiter is a 143300000000000 write the stradard form