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jolli1 [7]
3 years ago
14

A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters. What is the rabbit's average rate of cha

nge? A. 1/2 B. 2 C. 5 D. 20
Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:

Average Rate of change = 2

Step-by-step explanation:

Given - A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters.

To find - What is the rabbit's average rate of change?

Formula used -

Average rate of change of a function f(x) in an interval [a, b] is \frac{f(b) - f(a)}{b - a}

Proof -

Given that,

In 1 second - Rabbit hoops 8 meters

In 7 seconds - Rabbit hoops 20 meters

So,

Average Rate of change = \frac{20 - 8}{7 - 1}

                                         = \frac{12}{6}

                                         = 2

⇒Average Rate of change = 2

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shaq invested $350 in a savings account that earns 5% interest, compounded annually. How much interest will he earn in 2 years
fgiga [73]

Answer:

$25.39

Step-by-step explanation:

So if he has a 5% investment, then that means that every year he will get back 5% of the amount he invested.

So all one has to do is to find out 5% of the amount invested

Since it is asking for the amount earned in two years, then one will have to add back 5% twice

so 5% of 350

5% can be written as 0.05

so then the problem is

0.05 * 350

= 7.5

add that to the total amount and repeat the process

350 + 7.5

= 357.5

5% of 357.5

0.05 * 357.5

=17.885

because this is money one has to round to the second decimal point

= approx. 17.89

so now find the total amount earned by adding the two values

7.5 + 17.89

= 25.39

6 0
4 years ago
Suppose we roll one fair six-sided die, and flip six coins. what is the probability that the number of heads is equal to the num
sergejj [24]

The probability that the number of heads is equal to the number showing on the die is \frac{21}{128} .

According to the question

we roll one fair six-sided die, and flip six coins

i.e

The Total Outcomes is the product of the sample spaces for the dice and the coins.  

sample spaces for the dice = 6

sample spaces for the coins = 2⁶

S = 6.2⁶

S = 384

Now, The  probability is

Therefore, the Favorable Outcomes

Consider the number of ways to get each total of heads from 1 to 6.

= 2⁶-1 (as TTT is excluded )

= 63

The probability that the number of heads is equal to the number showing on the die

As

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes

By substituting the values in the formula

Probability(Event) = \frac{63}{384}

Probability(Event) = \frac{21}{128}

Hence, the probability that the number of heads is equal to the number showing on the die is \frac{21}{128}

To know more about probability here:

brainly.com/question/11234923

#SPJ4

3 0
1 year ago
The ladder is 15 feet tall. If she places the ladder 12 feet away from the base of the house then leans it towards the wall, the
madam [21]
The wall is 9 feet tall

8 0
3 years ago
callie has $24.65 to spend on groceries.after buying 6 potaos ,she had $18.95 left. if each potato coast the same amount,what is
slava [35]

Answer:

$5.75

Step-by-step explanation:

3 0
3 years ago
Need help on any number cause it is due tomorrow
Savatey [412]
<span>I think the easiest way to answer all of these is to just go ahead and find the equation of the line first. 

I'm pretty sure that by the time you see this problem, you've learned how to find
the equation of a line that passes through two given points.  You have two points:  (2, 100) and (5, 205).  The equation of the line through them is
[ y = 35x + 30 ].  (That's the answer to #8.)

6).  The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30.  (Also the y-intercept.)

7).  The cost per month is $35.  (The slope of the line.)

8).  We already did that, up above.  [  y = 35x + 30 ].

9).  'x' in the equation is the number of months.
There are 12 months in one year.

y = 35(12) + 30 = $450</span>
6 0
3 years ago
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