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Anuta_ua [19.1K]
2 years ago
7

What is the inverse of f(x)=1.5^x+4

Mathematics
1 answer:
STatiana [176]2 years ago
4 0

Answer:

Step-by-step explanation:

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Express each of the following in logarithmic form ​
vodomira [7]

Answer:

See explanation.

Step-by-step explanation:

(i)  5^3 = 125

log 5^3 = log 125

Using the rule log a^n = n log a

3 log 5 = log 125.

(ii) 3^-2 = 1/9

-2 log 3 = log 1/9

(iii)   10^-3 = 0.001

-3 log 10 = log 0.001

(iv)   81^3/4 = 27

3/4 log 81 = log 27.

5 0
2 years ago
Read 2 more answers
Suppose you purchase a bundle of 18 bare-root broccoli plants. The sales clerk tells you that on average you can expect 8% of th
neonofarm [45]

Answer:

There is a 57.18% probability that you will lose at most 1 of the broccoli plants.

Step-by-step explanation:

For each plant, there are only two possible outcomes. Either they die, or they do not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem, we have that

There are 18 plants, so n = 18.

8% of the plants die before producing any broccoli. So p = 0.08.

Use the binomial formula to find the probability that you will lose at most 1 of the broccoli plants.

This is

P = P(X = 0) + P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{18,0}.(0.08)^{0}.(0.92)^{18} = 0.2229

P(X = 1) = C_{18,1}.(0.08)^{1}.(0.92)^{17} = 0.3489

P = P(X = 0) + P(X = 1) = 0.2229 + 0.3489 = 0.5718

There is a 57.18% probability that you will lose at most 1 of the broccoli plants.

7 0
3 years ago
Put in steps please and hurry
WARRIOR [948]
Based on what i have seen i believe your answer is going to be A.
7 0
3 years ago
Kevin can travel 22 1/2 miles in 1/4 hours . What is his average speed in miles per hour
Zanzabum
Just do 22 1/2 divided by 1/4 which is:

90 mph
3 0
3 years ago
Claire has $300 Is an account. She decides she is going to take out $25 each month.
Elena-2011 [213]
Recursive equation would be f(x+1) = f(x) - 25 with f(0) = 300

Explicit equation would be f(x) = -25x + 300

And graph would looks like this: 

5 0
3 years ago
Read 2 more answers
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