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andrew-mc [135]
3 years ago
9

Determine if the equation y = 2(0.45)x represents exponential growth or decay

Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0
We have that
y = 2(0.45)^x

in this problem 
2-----------> is the Coefficient
0.45-------> is the Base
<span>x-----------> is the Exponent

we know that
</span><span>If the base  is less than 1 (but always greater than 0), the function will be exponential decay
</span>It is decay because as x values increase, y values decrease.
<span>0.45 < 1  and 0.45 > 0
therefore

the equation
</span>y = 2(0.45)^x
represents <span>exponential decay
</span>
the answer is
exponential decay<span>

</span>
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An urn contains 12 balls, of which 4 are white.
wel

Answer:

a) \frac{1}{3}

b) \frac{4}{12}\,,\,\frac{4}{11}\,,\,\frac{4}{10}\,,...

Step-by-step explanation:

Number of balls in the urn = 12

Number of white balls in the urn = 4

So, number of balls which are not white = 12 - 4 = 8

We know that probability = No. of outcomes/Total number of outcomes

Let A_i\,,\,B_i\,,\,C_i denotes the event of getting white ball by A, B and C

a) each ball is replaced after being drawn.

Probability = Number of white balls/Total number of balls

Solution: P(A_i)=P(B_i)=P(C_i)=\frac{4}{12}=\frac{1}{3}

b)the balls that are withdrawn are not replaced.

Solution:

If A wins: P(A_1)=\frac{4}{12}=\frac{1}{3}

If A lost and B wins: P\left ( B_1|A_1^{c} \right )=\frac{4}{11}

If A and B lost and C wins: P\left ( C_1|A_1^{c}\,B_1^{c} \right )=\frac{4}{10}

and so on....

4 0
3 years ago
Which values of k are solutions to the inequality StartAbsoluteValue negative k minus 2 EndAbsoluteValue less-than 18? Check all
Stella [2.4K]

Answer:

You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:

First, remember how the absolute value works:

IxI = x if x ≥ 0

IxI = -x if x ≤ 0

Then if we have something like:

IxI < B

We can rewrite this as

-B < x < B

Now let's answer the question, here we have the inequality:

I-k -2I < 18

Then we can rewrite this as:

-18 < (-k - 2) < 18

Now let's isolate k:

first, we can add 2 in the 3 parts of the inequality:

-18 + 2 < -k - 2 + 2 < 18 + 2

-16 < -k < 20

Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:

-1*-16 > -1*-k > -1*20

16 > k > -20

Then k can be any value between these two limits.

So the correct options (from the given ones) are:

k = -16

k = -8

k = 0

6 0
3 years ago
Read 2 more answers
What is the lcd of: 8/9x 2/3x=1/9x 45?
spayn [35]
LCD would be 18

8/9 = 16/18
2/3 = 12/18
1/9 = 2/18
5 0
3 years ago
Your job as investigator is to determine who caused this accident. Is the driver responsible , or is the farmer responsible? Rea
ziro4ka [17]
It’s 6 i’m pretty sure, your welcome have a good day
3 0
2 years ago
S(t)=9t-4, find S(4)
melamori03 [73]
For this problem, you need to substitute 4 in for your variable t. the original equation is S(t) and the one you need is S(4) -- in other words, evaluate this equation when t = 4.

S(4) = 9(4) - 4
S(4) = 36 - 4
S(4) = 32 is your answer.
3 0
3 years ago
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