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3 years ago

How do I simplify 3⁶ x 3⁵

Mathematics

2 answers:

elena55 [62]3 years ago

6 0

Answer:

$3^{11}$

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$ thus

$3^{6}$ × $3^{5}$ = $3^{(6+5)}$ = $3^{11}$

IgorC [24]3 years ago

4 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ {3}^{11} }}}}}$

Step-by-step explanation:

$\sf{ {3}^{6} \times {3}^{5} }$

Add the indices and take the same base

$\dashrightarrow{ \sf{ {3}^{6 + 5} }}$

$\dashrightarrow{ \boxed{ \sf{ {3}^{11} }}}$

Hope I helped!

Best regards! :D

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Help please it would help my grade alot

Alexxandr [17]

Answer:

It cooled 58.4 degrees

Step-by-step explanation:

T(t) = 68 + 144e ^(-.052t)

We want to find the value when t= 10

T(10) = 68 + 144e ^(-.052*10)

= 68 +85.611

T(10) =153.611

We also need to know

T(0)= 68 + 144e ^(-.052*0)

=68+144

=212

We want to know how much it cools

That would be the temperature at time 0 minus the temperature at time 10

T(0) - T (10)

212-153.611

58.389

To the nearest tenth

58.4 degrees

3 0

3 years ago

PLSSS I NEED THE ANSWER

BabaBlast [244]

Answer:

1. 6.4 meters of streamers left to make pompoms

2. He will be able to make 8 pompoms

Step-by-step explanation:

4 x 1.6 = 5.6 meters were used to make decorations.

Then we do 12 - 5.6 = 6.4

per one pompom it takes 0.8 meters of streamers.

6.4 is the left over so we do

6.4 divided by 0.8 = 8 pompoms you can make

6 0

2 years ago

f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential 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 combinations 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.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

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

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

4 0

3 years ago

Translate to an equation and solve the product of 2 and a number increased by 8 is -48

Marizza181 [45]

The equation would be 2x+8=-48 and x=-28

4 0

4 years ago

H=-16t^2+96t+4<br>solve by factoring

zlopas [31]

Answer:

6 plus or minus square root of 37/2

Step-by-step explanation:

Is the quadratic formula allowed or no?

4 0

3 years ago

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How do I simplify 3⁶ x 3⁵​

How do I simplify 3⁶ x 3⁵