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Sidana [21]
3 years ago
7

Kenny bought 20 packs of baseball cards. There are 12 cards in each pack. How many cards did Kenny buy?

Mathematics
2 answers:
Elden [556K]3 years ago
8 0

Answer:

240

Step-by-step explanation:

20 x 12 = 240

Rus_ich [418]3 years ago
3 0
Kenny bought 240 baseball cards.
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Please help me with this.
vodka [1.7K]

The rate of change would be 300 bacteria per minute at 0.1 minutes past 1 PM

<h3>The exponential function of the bacteria</h3>

The given parameters are:

Initial, a = 20

At 30 minutes, Value = 500

An exponential function is represented as:

y = ab^t

Where a is the initial value.

So, we have:

y = 20b^t

After 30 minutes, we have:

20b^30 = 500

Divide both sides by 20

b^30 = 25

Take the 30th root of both sides

b = 1.11

Substitute b = 1.11 in y = 20b^t

y = 20(1.11)^t

Hence, the exponential model is y = 20(1.11)^t

<h3>Minutes to reach 11,000</h3>

This means that:

y = 11,000

So, we have:

20(1.11)^t = 11000

Divide both sides by 20

1.11^t = 550

Take the logarithm of both sides

tlog(1.1) = log(550)

Divide both sides by log(1.1)

t = 66

Hence, the population would reach 11,000 after 66 minutes

<h3>The population at 2PM</h3>

This means that:

t = 60 i.e. 60 minutes after 1PM

So, we have:

y = 20(1.11)^60

Evaluate

y = 10481

Hence, the population at 2PM is 10481

<h3>The rate of change at 2PM</h3>

In (c), we have:

y = 10481 ------ population at 2PM is 10481

t = 60

The rate of change is calculated as:

Rate = 10481/60

Evaluate

Rate = 174.68

Hence, the rate of change at 2PM is 174.68 bacteria per minute.

<h3>When the rate would be 300 bacteria per minute?</h3>

The rate of change is calculated as:

Rate = Population/Time

So, we have:

y/t = 300

This gives

y = 300t

Substitute y = 300t in y = 20(1.11)^t

300t = 20(1.11)^t

Divide both sides by 20

15t = (1.11)^t

Using a graphing calculator, we have:

t = 0.1

Hence, the rate would be 300 bacteria per minute at 0.1 minutes past 1 PM

Read more about exponential functions at:

brainly.com/question/11464095

#SPJ1

7 0
2 years ago
The maximum capacity of the school auditorium is 420 people. Write an inequality for the situation. Tell what type of numbers th
konstantin123 [22]
An Inequality looks like this: <
The equation would look like this: Maximum People = x then x<=420
Good luck
8 0
3 years ago
Read 2 more answers
9. What is the value<br> of the expression?<br> 21.3 + (-34.87)
azamat

Answer:

-13.57

Step-by-step explanation:

21.3 + (-34.87) = -13.57

Mark me as brainliest if you want to.

4 0
3 years ago
The set notation of [-5,16) is?
valentina_108 [34]

Answer: \left\{x | x \in \mathbb{R}, \ -5 \le x < 16\right\}

=======================================================

Explanation:

We have some number x such that x is a real number, so we write that as x \in \mathbb{R} which is saying "x is in the real number set".

The portion -5 \le x < 16 is how x is restricted. This means x can be -5 or larger, but also must be smaller than 16.

This is from the interval notation [-5, 16). The square bracket means we include -5 as part of the interval, but we exclude 16 because of the curved parenthesis.

The curly braces surrounding everything indicates that we have a set of values.

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

Side note:

If x is an integer, then we can get this roster set {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} showing all of the integers between -5 and 16, including -5 but excluding 16.

Though chances are your teacher will want you to stick to real numbers rather than just integers.

4 0
4 years ago
Translate the problem into a mathematical sentence, using c as your variable
zalisa [80]

c=8

Step-by-step explanation:

13-5=c, c=8

6 0
3 years ago
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