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Illusion [34]
3 years ago
9

D(n)=5/16(2)^n-1 please help lol

Mathematics
1 answer:
Sedaia [141]3 years ago
3 0

Answer:

In this maths tutorial, we introduce exponents / powers and roots using formulas, solved examples and practice questions.

Powers and Roots | Formulas, Solved Examples, Practice Problems

Exponents, also called powers, are a way of expressing a number multiplied by itself by a certain number of times.

When we write a number a, it is actually a1, said as a to the power 1.

a2 = a*a

a3 = a*a*a

:

:

an = a*a*a*a* . . . n times.

Basic formulas in Powers and Roots

Some basic formulas used to solve questions on exponents are:

(am)n = (an)m = amn

am.an = am+n

a-m = 1/am

am/an = am-n = 1/an-m

(ab)n = anbn

(a/b)n = an/bn

a0 = 1

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What is 8546 divided by 2 [8546/2]
kvv77 [185]
8546/2 = 4273

Hope this helps!

3 0
3 years ago
Read 2 more answers
F(x)=x^2. What is g(x)?
Contact [7]

Answer:

Do you have options? The answer would be

g(x)=(x/3)^2

x = 1 btw

Because x = 1, if you have options then it'll most likely be g(x)=(1/3]^2

Step-by-step explanation:

Hope this helps

4 0
3 years ago
Suppose the number of hits a webpage receives follows a Poisson distribution. The average number of hits per minute is 2.4.
JulijaS [17]

Answer: a) P(x=0) = 0.0907, b) P(x≥10) = 0.7986

Step-by-step explanation: the probability mass function of a possion probability distribution is given as

P(x=r) = (e^-λ)×(λ^r) /r!

Where λ = fixed rate at which the event is occurring and each event is independent of each other = 2.4

a) P(x= at least one) = P(x≥1)

P(x≥1) = 1 - P(x<1)

But P(x<1) = P(x=0) { we can not continue to negative values because our values of x can only take positive values of integer}

Hence, P(x≥1) = 1 - P(x=0)

P(x=0) = e^-2.4 * 2.4^0/(0!)

P(x=0) = 0.0907×1/1

P(x=0) = 0.0907

b) if the average number of hits in 1 minutes is 2.4 then for 5 minutes we have 2.4×5 = 12.

Hence λ = 12.

P(x= at least 10) =P(x≥10) = 1 - P(x≤9)

P(x≤9) will be gotten using a cumulative possion probability distribution table whose area is to the left of the distribution.

From the table P(x≤9) = 0.2014.

P(x≥10) = 1 - 0.20140

P(x≥10) = 0.7986

4 0
3 years ago
Solve for x. 4(2-x)+13=2x+3
gregori [183]

Answer:

x = 3

Step-by-step explanation:

4(2-x)+13=2x+3

distribute the 4.

8 - 4x + 13 = 2x + 3

combine like terms.

21 - 4x = 2x + 3

18 = 6x

divide by 6.

x = 3

check.

4(2 - 3) + 13 = 2(3) + 3

4(-1) + 13 = 6 + 3

-4 + 13 = 9

9 = 9

correct!

4 0
3 years ago
Jack is mixing a cleaning solution that is 12% bleach.After mixing the solution,jack has 150 ounces of cleaning solution.how man
marysya [2.9K]
To solve for the ounces of bleach that Jack used, we utilize the formula below

Bleach = (Percentage of bleach)*(Total ounces of cleaning solution)
Bleach = 0.12*150 ounces
Bleach = 18 ounces

<em>ANSWER: 18 ounces of bleach</em>
5 0
3 years ago
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