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2 years ago

Find the product of (3^6)(3)(3^5) Express your answer using exponents

Mathematics

2 answers:

VikaD [51]2 years ago

6 0

Answer:

3^12

Step-by-step explanation:

When multiplying the same number with different exponents you have to add the the exponents. For example:

$a^x + a^y = a ^{x+y}$

So (3^6)(3)(3^5) or (3^6)(3^1)(3^5) = 3^(6+1+5) = 3^12

andreev551 [17]2 years ago

4 0

Answer:

3^12

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

A number increased by 5 is two times the number

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2 years ago

Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event

enot [183]

Answer:

$P(x < 3) = 25\%$

$E(x) = 3$

Step-by-step explanation:

The given parameters can be represented as:

$\begin{array}{ccccccc}x & {5} & {4} & {3} & {2} & {1}& {0} & P(x) & {25\%} & {30\%} & {20\%} & {15\%} & {5\%} & {5\%} \ \end{array}$

Solving (a): P(x < 3)

This is calculated as:

$P(x < 3) = P(x = 0) + P(x = 1) + P(x =2)$ ----- i.e. all probabilities less than 3

So, we have:

$P(x < 3) = 5\% + 5\% + 15\%$

$P(x < 3) = 25\%$

Solving (b): Expected number of events

This is calculated as:

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = 5 * 25\% + 4 * 30\% + 3 * 20\% + 2 * 15\% + 1 * 5\% + 0 * 5\%$

$E(x) = 125\% + 120\% + 60\% + 30\% + 5\% + 0\%$

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Express as decimal

$E(x) = 3.40$

Approximate to the nearest integer

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3 0

3 years ago

How many solutions are there to the system of equations? StartLayout enlarged left-brace 1st row 4 x minus 5 y = 5 2nd row negat

kkurt [141]

Answer:

Only one solution $x=\frac{5}{4},y=0$

Step-by-step explanation:

$4x-5y=5..............(1)\\0.08x+0.10y=0.10...........(2)$

Multiply equation $(2)$ by $50$

$4x-5y=5........(3)$

Now from equation $(1)$ $+$ equation $(3)$

$8x=10\\x=\frac{10}{8}\\x=\frac{5}{4}$

Put the value in equation $(1)$

$5-5y=5\\5y=0\\y=0$

hence only one solution exists $\left(\frac{5}{4},0\right)$ .

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2 years ago

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Answer:

1: 4

Step-by-step explanation:

to find the ratio

12: 48

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2 years ago