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3 years ago

How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?

1 answer:

6 0

There are 6 digits. Each digit can take ten different numbers except for the first digit since it cannot be zero.

So:

9 x 10 x 10 x 10 x 10 x 10

900000 numbers.

Another way of thinking about this is to just count up to 999,999. Obviously there are 999,999 different numbers here. But since our number has to have 6 digits in them, we have to delete 99,999 numbers. Thus there are 900,000 different numbers.

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Identify the sine function with the given attributes.

Thepotemich [5.8K]

Answer:

Last option

$f(t)=sin(\pi(t -3)) + 4$

Step-by-step explanation:

The general sine function has the following form

$y = Asin(bt-\phi) + k$

Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.

$\frac{2\pi}{b}$ is the period: time it takes the wave to complete a cycle.

k is the vertical displacement.

$\phi$ phase shift

We know that:

amplitude: 1; period: 2; phase shift: 3; vertical shift: 4

Thus:

$A =1$

$\frac{2\pi}{b}=2$

$b=\pi$

$\phi=3$

$k=4$

Then the function is:

$f(t)=sin(\pi(t -3)) + 4$

The answer is last option

4 0

2 years ago

A rental company charges a flat fee of $200 plus $50 per day. Create a linear function to represent where f(x) is the total cost

VARVARA [1.3K]

Y=50x+200

Hope that helps!

7 0

3 years ago

What is the simplest form of the expression 6x(x − 4) − 16x2 − (9x − 1)

Sedbober [7]

Use distributie property which is
a(b+c)=ab+ac
therefor
6x(x-4)=6x^2-24x

distribute the negative 1 infroont of the (9x-1)
-1(9x-1)=-9x+1
now we have

6x^2-24x-16x^2-9x+1
gropu like terms
6x^2-16x^2-24x-9x+1
add like terms
-10x^2-33x+1 is simplest form

8 0

2 years ago

Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.

ale4655 [162]

Umm..... according to what I know The ratio of the sides of a 30°-60°-90° triangle are:
short leg : long leg : hypotenuse
1 : √3 : 2
 if the short leg is 7, the long leg is √3 times that:
Answer:
7√3 ≈ 12.12 inches

8 0

2 years ago

Read 2 more answers

What is the value for x

Sloan [31]

Because this is a right angle triangle, we can use the Pythagorean theorem to find the missing leg.

The Pythagorean theorem is this: $a^{2} + b^{2} = c^{2}$

The Pythagorean theorem tells us if you square both the legs then add them up together, you will get the length of the hypotenuse squared.

We know one leg is 24 and the hypotenuse is 26. Plug them into the equation.

24^2 + b^2 = 26^2

Solve for b.

24^2 + b^2 = 26^2
576 + b^2 = 26^2
576 + b^2 = 676
b^2 = 100

Take the square root of both sides.

b = 10

So, the other leg of the triangle is 10 units long.

8 0

2 years ago

Read 2 more answers