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3 years ago

∜64= 4ˣ, what is the value of x?

Mathematics

1 answer:

svlad2 [7]3 years ago

8 0

Answer:

x = (2 i π n)/log(4) + log(2 sqrt(2))/log(4) for n element Z

Step-by-step explanation:

Solve for x:

2 sqrt(2) = 4^x

Hint: | Reverse the equality in 2 sqrt(2) = 4^x in order to isolate x to the left hand side.

2 sqrt(2) = 4^x is equivalent to 4^x = 2 sqrt(2):

4^x = 2 sqrt(2)

Hint: | Eliminate the exponential from the left hand side.

Take the logarithm base 4 of both sides:

Answer:x = (2 i π n)/log(4) + log(2 sqrt(2))/log(4) for n element Z

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PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Andrej [43]

Answer:

one real solution

Step-by-step explanation:

We can use the discriminant to find the types of solutions

b^2 -4ac where ax^2 +bx+c=0

Since

x^2 -8x+16 =0

we know a=1 b=-8 and c=16

(-8)^2 - 4(1)(16)

64 -64 = 0

If the discriminant > 0 we have two real solutions

If the discriminant = 0 we have 1 real solutions

If the discriminant < 0 we have two complex solutions

Since it equals zero, we have one real solution

8 0

2 years ago

Read 2 more answers

(4-3√3)(2-√3)???? (the question marks signal the gap between the question and then me starting to distribute)

katen-ka-za [31]

You have two binomials. I would just FOIL them:

First:   4 x 2 = 8

Outside: 4 (-√3) = -4√3

Inside:   -3√3 (2) = -6√3

Last:   -3√3 (-√3) = 9

Addummup: 8 - 4√3 - -6√3 + 9 = 17 - 10√3

6 0

2 years ago

Read 2 more answers

Last week Kelly ran 28 Miles. This week she ran 32 miles. What was the percent change in number of miles she ran?

scZoUnD [109]

Hey!

4/28 =?
= 1/7.
1/7 =?
=14.3%

Hope this helped!

8 0

3 years ago

I’m about to spam questions if you can answer them please do .

Tamiku [17]

Answer:

id say anything between 15 to 30 i dont have the stuff i need to answer this 100% accurately

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Meteorologists in Texas want to increase the amount of rain delivered by thunderheads by seeding the clouds. Without seeding, th

Dafna11 [192]

Answer:

There is no significant difference in the amount of rain produced when seeding the clouds.

Step-by-step explanation:

Assuming that the amount of rain delivered by thunderheads follows a distribution close to a normal one, we can formulate a hypothesis z-test:

Null Hypothesis

$\bf H_0$ : Average of the amount of rain delivered by thunderheads without seeding the clouds = 300 acrefeet.

Alternative Hypothesis

$\bf H_a$ : Average of the amount of rain delivered by thunderheads by seeding the clouds > 300 acrefeet.

This is a right-tailed test.

Our z-statistic is

$\bf z=\frac{370.4-300}{300.1/\sqrt{30}}=1.2845$

We now compare this value with the z-critical for a 0.05 significance level. This is a value $\bf z^*$ such that the area under the Normal curve to the left of $\bf z^*$ is less than or equal to 0.05

We can find this value with tables, calculators or spreadsheets.

In Excel or OpenOffice Calc use the function

NORMSINV(0.95)

an we obtain a value of

$\bf z^*$ = 1.645

Since 1.2845 is not greater than 1.645 we cannot reject the null, so the conclusion that can be drawn when the significance level is 0.05 is that there is no significant difference in the amount of rain produced when seeding the clouds.

8 0

3 years ago