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vodomira [7]
2 years ago
7

What is log squared with a base of 4 with the exponent (x^2+x) and the whole thing is equal to 0.25. Find the domain of x and fi

nd what x is equal to.
Mathematics
1 answer:
alexandr1967 [171]2 years ago
6 0

Answer:

X = 1 , -2

Step-by-step explanation:

Given in question as,

(log4(x² + x))² = 0.25

log4(x² + x) = 0.5

Applying log base property if      log(a)X = b,   then X =a^b

Or, x² + x = 4^0.5

     x² + x = 2

     x² + x - 2 = 0

     x²+2x-x-2 = 0

     (x + 2) (x - 1) = 0

So, x = 1 and -2   Answer

   

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Dmitriy789 [7]
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Since hyp = 6sqrt2, the leg is 6.
The leg is also the hypotenuse of the triangle on the right side.
x is the side across from the hypotenuse and it is the short leg so x = (1/2)6
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3 0
3 years ago
The Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 2 times its height
garik1379 [7]

9514 1404 393

Answer:

  6.2 ft

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr²h

Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...

  3000 ft³ = π(2h)²h

  (3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³

  h = ∛(750/π) ft ≈ 6.2 ft

The pool is about 6.2 feet deep.

3 0
2 years ago
A study conducted on 40,000 words in the English language found that about 6,670 words started with the letter T, which is the m
melisa1 [442]

To answer this problem, first let us calculate for the theoretical probability obtained from the study conducted:

Theoretical Probability = 6,670 / 40,000

Theoretical Probability = 0.16675 = 0.17

From the given choices, the list of words which can give this similar amount of probability is:

“to, sarcastic, epithet, for, less, corruptible, than, the, offspring, open, any, primary, loyalty, table, out, whom, example, who, mention, say”

In this set of words, the number of words starting with letter T is 4. Calculating for the probability of getting a word starting with T in this set is:

Sample probability = 4 / 20

<span>Sample probability = 0.20</span>

5 0
3 years ago
Read 2 more answers
12.5% of a number is 25, find the number
tankabanditka [31]

Answer:

200

Step-by-step explanation:

Let's call the number x :
12.5% of x = 25

Changing 12.5% into decimal would be 0.125

Now we have the equation :

0.125x = 25

Divide both sides by 0.125 to make x the subject :

x = 25 ÷ 0.125

x = 200

To check we can substitute this value into the question :

12.5% of 200 = 25

Hope this helped and have a good day

4 0
1 year ago
Whitney has a total of 30 cupcakes for her guests. the function rule, 30 ÷ x where x is the number of guests, can be used to fin
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10 because 30 divided by 3 it will equal 10
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