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3 years ago

5

You roll 2 dice. What is the probability of getting two 5's?

1 answer:

eduard3 years ago

4 0

The coment before me is super funny lol
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Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the

nalin [4]

Answer:

$y=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (\frac{5}{4})^x$

or

$f(x)=8 \cdot (1.25)^x$

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

$y=a \cdot b^x$ , ( $b\neq 0$ ).

If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

(Why? The $y-$ intercept happens when $x=0$ . Replacing $x$ with 0 gives $y=a \cdot b^0=a \cdot 1=a$ . This says when $x=0 \text{ that} y=a$ .)

So $a=8$ .

So our function so far looks like this:

$y=8 \cdot b^x$

Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given $(1,10)$ is a point on our curve.

So when $x=1$ , $y=10$ .

$10=8 \cdot b^1$

$10=8 \cdot b$

Divide both sides by 8:

$\frac{10}{8}=b$

Reduce the fraction:

$\frac{5}{4}=b$

So the equation if it works out for the other point given is:

$y=8 \cdot (\frac{5}{4})^x$

Let's try it. So the last point given that we need to satisfy is $(2,12.5)$ .

This says when $x=2$ , $y=12.5$ .

Let's replace $x$ with 2 and see what we get for $y$ :

$y=8 \cdot (\frac{5}{4})^2$

$y=8 \cdot \frac{25}{16}$

$y=\frac{8}{16} \cdot 25$

$y=\frac{1}{2} \cdot 25}$

$y=\frac{25}{2}$

$y=12.5$

So we are good. We have found an equation satisfying all 3 points given.

The equation is $y=8 \cdot (\frac{5}{4})^x$ .

4 0

3 years ago

HELP ME I NEED SOMEHELP<br> PLZ<br> PLZ<br> PLZ

otez555 [7]

Step-by-step explanation:

2/7

2×2 = 4

___

7×2 = 14

2×3 = 6

___

7×3 = 21

2×4 = 8

___

7×4 = 12

8 0

3 years ago

In triangle DEF measurement angle D = 45 degrees meausrement angle E = 63 degrees and EF = 24 inches. What is DE to the nearest

alexandr1967 [171]

Since the angles add to 180°, angle F is 72°.

Using the law of sines,

DF/sin72° = 24/sin45°
x = 32.28

So, did you just guess at A?

This is just an answer from another website, but it should still work.

7 0

3 years ago

Read 2 more answers

Which number represents a rational repeating decimal? A. 0.77678 B. 2 5/8 <br> C. 7/9 D. 6.0

hjlf

The answer to your question is A.

3 0

3 years ago

In 3 apples cost 48¢ , how many dozen apples can be bougth for $3.84?

Law Incorporation [45]

1 dozen = 12 apples.

3 apples cost 0.48, multiply that by 4 to get the price of 1 dozen.

0.48 x 4 = $1.92 per dozen.

Divide the total you can spend ( 3.84) by cost per dozen:

3.48 / 1.92 = 2

You can buy 2 dozen.

6 0

3 years ago

Read 2 more answers