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2 years ago

15

A garage door opener has a ten number keypad. Codes to open the door must consist of 5 digits with no adjecent digits the sane.

How many codes are possible?

1 answer:

grigory [225]2 years ago

5 0

1st slot: 10 possibilities

2nd slot: 9 possibilities

3rd slot: 9 possibilities

4th slot: 9 possibilities

5th slot: 9 possibilities

10 * 9 * 9 * 9 * 9 = 65610 Possibilities

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Lateral surface area of this gift box

azamat

I think it’s letter C

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3 years ago

Solving Quadratic Equations using the Square Root Property

Afina-wow [57]

Answer:

$x = -2$ or $x = -5$

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

$x^2 + 7x + 10 = 0$

Subtract 10 from both sides.

$x^2 + 7x = -10$

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

$x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = \dfrac{9}{4}$

Now we use the square root property, if

$x^2 = k$ , then

$x = \pm \sqrt{k}$

$x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}$

$x + \dfrac{7}{2} = \pm \dfrac{3}{2}$

$x + \dfrac{7}{2} = \dfrac{3}{2}$ or $x + \dfrac{7}{2} = -\dfrac{3}{2}$

$x = -\dfrac{4}{2}$ or $x = -\dfrac{10}{2}$

$x = -2$ or $x = -5$

5 0

3 years ago

Given f(x)=21x+14, find f(5)

loris [4]

$f(5)=21\cdot5+14=105+14=119$

6 0

3 years ago

If a^ 1/n = n What is an equivalent form of 7? Show steps plz!

Scrat [10]

Answer:

7⁷

Step-by-step explanation:

a^(1/7) = 7

a = 7⁷

6 0

3 years ago

A cell phone company $500 for a new phone and $60 for a monthly plan. If C(t) is a rational function that represents the average

lisov135 [29]

The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: $R: (500, \infty)$

Given that:

$Phone = \$500$

$Monthly\ Plan = \$60$

Let the number of months be t. So, the function C(t) is calculated as follows:

$C(t) = Phone + Monthly\ Plan \times t$

$C(t) = 500 + 60 \times t$

$C(t) = 500 + 60t$

The range is calculated as follows:

The smallest possible value of t is 0 i.e. when no monthly subscription is done.

So, we have:

$C(0) = 500 + 60\times 0= 500 + 0 = 500$

And the highest is $\infty$ i.e. for a large value of t

So, we have:

$C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty$

Hence, the range of the function is:

$R: (500, \infty)$

Read more about range of functions at:

brainly.com/question/13824428

5 0

2 years ago