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3 years ago

Convert the expression (√5)(∛5) to exponential form. Show your work.

Mathematics

1 answer:

tresset_1 [31]3 years ago

7 0

Answer:

${5}^{ \frac{5}{6}}$

Step-by-step explanation:

$( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}$

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A bird drops a stick from the top of Miami Tower. The height of the stick after x seconds is given by f(x) = 625 - 16x^2.

Leni [432]

ANSWER

The maximum value is 625

EXPLANATION

The height of the stick that the bird dropped is modeled by the function;

$f(x) = 625 - 16x^2$

This function is already in the vertex form.

Let me rewrite it clearly for you to see.

$f(x) = - 16(x - 0)^2 + 625$

When we compare this to;

$f(x)=a(x-h)^2+k$

we have h=0 and k=625.

k=625 is the y-value of the vertex.

This is the maximum value on the graph of this function.

3 0

3 years ago

The sum of 17 and a number x is expand to 20 (Write an equation for the decription)

Rudiy27

So the sum of 17 and a number x means to add them on one side of the equals sign. The other side would be your 20.

17 + x = 20

3 0

3 years ago

The probability that a randomly selected 3-year-old male chipmunk will live to be 4 years old is 0.96516.

mezya [45]

Using the binomial distribution, it is found that there is a:

a) The probability that two randomly selected 3-year-old male chipmunks will live to be 4 years old is 0.93153 = 93.153%.

b) The probability that six randomly selected 3-year-old male chipmunks will live to be 4 years old is 0.80834 = 80.834%.

c) The probability that at least one of six randomly selected 3-year-old male chipmunks will not live to be 4 years old is 0.19166 = 19.166%. This probability is not unusual, as it is greater than 5%.

-----------

For each chipmunk, there are only two possible outcomes. Either they will live to be 4 years old, or they will not. The probability of a chipmunk living is independent of any other chipmunk, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

0.96516 probability of a chipmunk living through the year, thus $p = 0.96516$

Item a:

Two is P(X = 2) when n = 2, thus:

$P(X = 2) = C_{2,2}(0.96516)^2(1-0.96516)^{0} = 0.9315$

The probability that two randomly selected 3-year-old male chipmunks will live to be 4 years old is 0.93153 = 93.153%.

Item b:

Six is P(X = 6) when n = 6, then:

$P(X = 6) = C_{6,6}(0.96516)^6(1-0.96516)^{0} = 0.80834$

The probability that six randomly selected 3-year-old male chipmunks will live to be 4 years old is 0.80834 = 80.834%.

Item c:

At least one not living is:

$P(X < 6) = 1 - P(X = 6) = 1 - 0.80834 = 0.19166$

The probability that at least one of six randomly selected 3-year-old male chipmunks will not live to be 4 years old is 0.19166 = 19.166%. This probability is not unusual, as it is greater than 5%.

A similar problem is given at brainly.com/question/24756209

6 0

3 years ago

Question 8

Lelechka [254]

Answer:

$695.88

Step-by-step explanation:

579 + 32 = 611

8% of 611 = 48.88

611 + 48.88 = 659.88

Stay safe! <3

6 0

3 years ago

GIVE ME THE ANSWER* due in 10 minutes

Vlad1618 [11]

Hello from MrBillDoesMath!

Answer:

35x - 600

Discussion:

Area of unshaed rectangle =

area of full rectangle - area of shaded rectangle =

35x - 600

Thank you,

MrB

3 0

3 years ago

Read 2 more answers