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3 years ago

How do I do rate of change???

Mathematics

1 answer:

Bad White [126]3 years ago

7 0

Answer:

Step-by-step explanation:

For our problem since we only in 10 am:

I'm going to let x=4 represent the time 10:04 am

which means I'm going to let x=17 represent 10:17am.

So when x=4, y=23 miles and when x=17,y=179 miles.

You have two points.

You can use the formula $m=\frac{y_2-y_1}{x_2-x_1}$ .

Or just line the points up vertically and subtract them vertically, then put 2nd difference over first difference. Like this:

( 17 , 179)

-( 4 , 23)

-----------------------

13 156

So the slope is 156/13=12 miles/hour.

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A type of cell reproduces by splitting itself in half. One cell becomes 2 cells, 2 cells become 4 cells, and 4 cells become 8 ce

svet-max [94.6K]

It represents a geometric sequence because it has a common ratio of 2.

In fact, a sequence is said to be geometric if any two adjacent elements are in the same ratio. In other words, if you choose any index $n \in \mathbb{N}$ and consider the two consecutive terms $a_n$ and $a_{n+1}$ , you have

$\dfrac{a_{n+1}}{a_n} = r$

no matter which index you chose. In your case, the next term in the sequence is always the double of the previous one, so the ratio between two consecutive terms is always 2, and the series is geometric with common ratio 2

4 0

3 years ago

On any given day, the number of users, u, that access a certain website can be represented by the inequality 125-4530

Masteriza [31]

Answer:

Step-by-step explanation:

Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.

Therefore, we now have two inequalities to solve for:

125-u ≤ 30

u-125≤30

For the first one, we can subtract 125 and add u to both sides, resulting in

0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.

The second one can be figured out by adding 125 to both sides, so u ≤ 155.

Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,

u ≥ 95

and

u ≤ 155

combine to be

95 ≤ u ≤ 155, or the 4th option

4 0

3 years ago

A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is

Ainat [17]

Answer:

$15.2~mph$

Step-by-step explanation:

Let the time flown by the flying carpet be $t$ . Then, we have that $(2.4)/t=(1.4)/t+2*4$ .

We multiply both sides of the equation by $t$ to get $2.4=1.4+8t$ .

We subtract $1.4$ from both sides to get $1=8t$ .

We divide both sides of the equation by $t=1/8$ .

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is $(2.4)/(1/8)=19.2$ mph.

The speed against wind is $(1.4)/(1/8)=11.2$ mph.

The speed in still wind is $(19.2+11.2)/2=(30.4)/2=15.2$ .

Therefore, the answer is $\boxed{15.2~mph}$ and we're done!

4 0

3 years ago

Which statement is correct? (If you can answer 1 and 3 it would help a lot too)

Lera25 [3.4K]

Answer:

the answer is 3 because 1x3=3

5 0

3 years ago

The number 72 is between what two perfect squares? Enter a numerical answer only.

jasenka [17]

Well a perfect square looks like this:

6 x 6
2 x 2

So the number 72 is between the PRODUCT of two perfect squares such as those.

One product has to be above 72, and the other below it.

So lets multiply.

8 x 8 = 64
9 x 9 = 81

Oh look at that, 72 is between 64 and 81.

7 0

3 years ago

Read 2 more answers