∜64= 4ˣ, what is the value of x?

Answers

Answer 1

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


Related Questions

please help
Evaluate.


−[5.8−3(3.2)](−0.2)2+3

What is the value of the expression?

Enter your answer as a decimal in the box.

please help Evaluate.[5.83(3.2)](0.2)2+3What is the value of the expression?Enter your answer as a decimal

Answers

The value of the expression expressed as a decimal is -92.0

Given the expression

\(\frac{-|5.8-3(3.2)|}{0.2^2} + 3\)

Expand the denominator and the numerator:

\(=\frac{-|5.8-9.6|}{0.04} + 3\\=\frac{-|-3.8|}{0.04} + 3\\= \frac{-3.8}{0.04} + 3\\= -95 + 3= -92.0\)

Hence the value of the expression expressed as a decimal is -92.0

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Answer:

-92.0

Step-by-step explanation:

Got it right on my quiz

The function f(x) = −23x + 4 represents the average number of teacher absences due to illness, f(x), when the school uses x bottles of hand sanitizer per month. What is a reasonable domain for the function in this situation?
A. x ≤ 6
B. 0 ≤ x ≤ 6
C. 0 ≤ x ≤ 4
D. all real numbers

Answers

The reasonable domain for the function f(x) = -2/3x + 4 in this situation is B. 0 ≤ x ≤ 6

How to determine the domain of the function?

In this question, we have:

Function, f(x) = -2/3x + 4

Where

x is the bottles of hand sanitizer per month

The function f(x) cannot be less than 0

So, we have

-2/3x + 4 = 0

This gives

-2/3x = -4

Solve for x

x = 6

This means that x cannot exceed 6

Hence, the domain is (b) . 0 ≤ x ≤ 6

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The height of a triangle is 4 ft less than the base x. The area is 126ft^2 find the dimensions of the triangle

Answers

The dimension of the triangle are base = 18 ft , height = 14 ft .

The area of ​​a triangle is defined as the total area bounded by the three sides of a given triangle. It's basically equal to half the base multiplied by the height which is given by \(A=\frac{1}{2} \times b \times h\)       ..(1)

It is given that height of a triangle is 4 ft less than the base x which can be represented as height = x - 4   ....(2)  and base = x

Putting above values in equation (1) , we get

   \(126=\frac{1}{2} \times(x-4)\times x\\252=x(x-4)\\252=x^2-4x\\x^2-4x-252=0\)

On factorizing , we get

  \(x^2-(18x-14x)-252=0\\(x^2-18x)+(14x-252)=0\\x(x-18)+14(x-18)=0\\(x+14)(x-18)=0\)

On equating it with zero , we get

  \(x+14=0\\x=-14\)

as length cannot be in negative so , we will not consider this solution.

   \(x-18=0\\x=18\)

Using equation (2)

Height will be = 18 - 4 = 14 ft.

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Evaluate.
(a – 2013
when a =
— 3 ana b = -1
3 6
2
Enter your answer in the box.
-27

Evaluate.(a 2013when a = 3 ana b = -13 62Enter your answer in the box.-27

Answers

Solution:

\( \\ (a - 2b) ^{3} \)

\( \\ ( - 3 - 2 \times \frac{ - 1}{2} ) ^{3} \)

\( \\ = (- 3 + 1) ^{3} \)

\( \\ = ( - 2) ^{3} \)

\( \\ = ( - 2)( - 2)( - 2)\)

\( \\ = - 8\)

Answer:

\( \\ {\boxed{ - 8}}\)

Hope it helps♦♦♦♦

(a-2b)³ a= -3 b= -1/2= (-3-2 [ -1/2 ] )³= (-3-1 [ -1 ] )³= (-3+1)³= (-2)³= (-2)×(-2)×(-2)= -8

please mark this answer as brainlist

Evaluate x + y when x=-87 and y = 34.
-121
-53
53
121

Answers

-87 + 34 = -53. Just gotta plug in numbers

The value of x + y = - 53

What is Linear Equation in 2 variables?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given data ,

The value of x = - 87

The value of y = 34

The equation x + y is calculated by substituting the values of x and y in the equation ,

Therefore , x + y = ( - 87 ) + 34

                           = -53

Hence , the value of x + y is equal to - 53

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1. They each walk 500 units to school. Who walks 500 feet, and who walks 500 yards? Explain your reasoning​

1. They each walk 500 units to school. Who walks 500 feet, and who walks 500 yards? Explain your reasoning

Answers

Answer:

Below

Step-by-step explanation:

If they each walk in straight lines to the school Lin is closer than Elena

 so Lin walks 500 ft   and Elena walks 500 yards ( which is 1500 ft)

Question 2
What is the lateral surface area of the triangular prism with the given net?
Select one:
15
9
5
12
9
9
8
8
B
8
10

Answers

Answer:

the answer is B) 24.

Step-by-step explanation:

To find the lateral surface area of the triangular prism, we need to find the perimeter of the base and then multiply it by the height of the prism.

Looking at the net, we can see that the base is a triangle with sides of length 3 cm, 4 cm, and 5 cm. So the perimeter of the base is:

3 cm + 4 cm + 5 cm = 12 cm

The height of the prism is given as 2 cm. Therefore, the lateral surface area is:

12 cm x 2 cm = 24 cm²

So the answer is B) 24.

IF THIS HELPED, CAN YOU PLEASE GIVE 5⭐? thank you

trying to find the arc length of the arc for the polar curve r=8cosθ between 0 and π4

Answers

Answer:

Step-by-step explanation:

To find the arc length of the polar curve r = 8cosθ between 0 and π/4, we can use the formula for arc length:

L = ∫a^b √(r^2 + (dr/dθ)^2) dθ

Substituting in the values for r and dθ, we get:

L = ∫0^(π/4) √(8^2cos^2θ + (-8sinθ)^2) dθ

= ∫0^(π/4) √(64cos^2θ + 64sin^2θ) dθ

= ∫0^(π/4) √(64) dθ

= ∫0^(π/4) 8 dθ

= 8(π/4 - 0)

= 8π/4

= 2π

Therefore, the arc length of the polar curve r = 8cosθ between 0 and π/4 is 2π.

If the prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5, what would you need to multiply it by to get the prime factorization of 3000?​

Answers

To get the Prime factorization of 3000 we need to multiply by 5.

What is Prime Factorization:  

When the number is factored using prime numbers, or primes, the process is known as prime factorization. The easiest method to determine the prime factors of a given number is to keep dividing the given number by the prime factors until we will get 1.

For example, the Prime factorization of 45 is given below

=> 45/5 = 9, 9/3 = 3,  3/3 = 1

=> 45 = 5 × 3 × 3

 

Here we have

The prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5

Let us assume that on multiplying with p,

we will get the factorization of 3000

=> 2 x 2 × 2 × 3 × 5 × 5 × p = 3000

=> p = \(\frac{3000}{2\times 2 \times 2 \times 3 \times 5 \times 5}\)  

Her 2 x 2 × 2 × 3 × 5 × 5 = 600

=> p = \(\frac{3000}{600}\)

=> p = 5  

Therefore,

To get the Prime factorization of 3000 we need to multiply by 5.

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TC= 0.0001Q^2-0.02Q+5+500Q

Answers

Answer:   0

.

0

0

0

1

2

0

.

0

2

+

5

+

5

0

0

Step-by-step explanation:

Which is equivalent to 3/84"?

Which is equivalent to 3/84"?

Answers

Answer:

\(\sqrt[12]{8} ^x\)

Step-by-step explanation:

\(3 / \frac{1}{4} = 12\)

Graph the solution set of the following linear equation
2x+2y<-6

Answers

Graph the inequality by finding the boundary line, then shading the appropriate area.

y < −x −3

Graph the solution set of the following linear equation 2x+2y&lt;-6
Graph the solution set of the following linear equation 2x+2y&lt;-6

Suppose Derrick is an insect enthusiast who measured the body length and weight of three insects in his backyard. His data are shown in the table.

Answers

Answer:

Step-by-step explanation:

Name 3 planes that intersect at point O

Answers

Al chile no se wey, buscale en otro lado

Allie had four and three-fourths tubes of purple paint. She used two and one-fourth tubes. Later, she found three and three-eighths more tubes. How many tubes of purple paint does she have now?


five and thirteen over twenty-four tubes

five and nine over twenty-four tubes

five and seven over eight tubes

five and one over eight tubes

Answers

By subtracting and adding mixed numbers, we can see that at the end she has (5 + 7/8) tubes of paint.

How many tubes of purple paint does she have now?

We know that initially Allie had (4 + 3/4) tubes of purple paint, and she sed (2+ 1/4) tubes.

So at this point we need to take the difference between the two mixed numbers, we will get:

(4 + 3/4) - (2 + 1/4) = (4 - 2) + (3/4 - 1/4)

(4 - 2) + (3/4 - 1/4) = 2 + 2/4

2 + 2/4  = 2 + 1/2

Then she founds (3 + 3/8) more. Now we need to add that:

2 + 1/2 + (3 + 3/8) = (2 + 3) + (1/2 + 3/8)

(2 + 3) + (1/2 + 3/8) = 5 + (4/8 + 3/8)

5 + (4/8 + 3/8) = 5 + 7/8

She has 5 + 7/8 tubes of purple paint.

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WILL GIVE BRAINLIEST

WILL GIVE BRAINLIEST

Answers

Answer:

\(\frac{y}{8}\)

Step-by-step explanation:

quotient means division

the / means divide

Answer:

y/8

Step-by-step explanation:

quotient means divide, so y divided by 8, or y/8

9 cm
7 cm
7 cm
7 cm
The area of one of the bases of the above figure is about 21.2 cm2. The
surface area of the figure is?
A. 273.4 cm2
B. 210.4 cm2
C. 231.4 cm2
D. none of the above

9 cm7 cm7 cm7 cmThe area of one of the bases of the above figure is about 21.2 cm2. Thesurface area of

Answers

Answer:

d

Step-by-step explanation:

none of the above mhhmm

Answer:

the answer to the question is 231.4 cm^2

Step-by-step explanation:

just got it wrong  

Which of the following would be a solution to the system of inequalities below?
A (3, 2)
B (3, 5)
C (3, 0)
D (3, -1)

Answers

I think it should be C

Please help meee!!!!

Please help meee!!!!

Answers

Step-by-step explanation:

I answered that already.

Simplify 12.856677878

Answers

Answer:

12.86

Step-by-step explanation:

this is rounded to the nearest hundredth

Age If you add Natalie's age and Fred's age, the result is 40. If you add Fred's age to 4 times
Natalie's age, the result is 76. Write and solve a system of equations to find how old Fred and
Natalie are.

Answers

Answer:

Fred is 28 yrs old. Nathalie is 12yrs old

Step-by-step explanation:

Let Nathalie's age be x

Let Fred's age be a

x+a=40 yrs•••••1

4x+a=76yrs•••••2

a=40-x

Substitute a for 40-x in equation (2)

4x+40-x=76

3x=76-40

3x=36

x=12

a=40-12

a=28

what is the supplement of 4 degrees​

Answers

Answer:

176

Step-by-step explanation:

Supplementary angles add up to 180 degrees. So we have 176 as our answer :)

Need help ASAP due in 7 minutes
Will make you brainlist

Need help ASAP due in 7 minutes Will make you brainlist

Answers

Answer:

A

Step-by-step explanation:

A is the only answer with ordered pairs that have a consistent rate of change, -1/3

X=91° and y=42° what is z?

X=91 and y=42 what is z?

Answers

Here, we just need to add x and y and subtract it from 180.

x + y = 91 + 42 = 133.

180 - 133 = 47.

Hence, z = 47 degrees.

Answer:

47°

Step-by-step explanation:

straight line = 180° we remove the angles x and y and find z

180 - 91 - 42 =

47°

An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7 0-07<4-4 < 23.5
0-29 O 29

Answers

To find the 99% confidence interval for the difference in means, we first need to calculate the mean and standard deviation of the differences between the first and second assembly times.

The differences are: -9, 22, 0, -19, -105, 24, -46, -8, -5, -8, -8

The mean of the differences is: -9.5

The standard deviation of the differences is: 38.3

To calculate the 99% confidence interval, we use the formula:

(mean difference) +/- (t-value) * (standard deviation of differences / square root of sample size)

The sample size is 11, so the degrees of freedom are 10. Using a t-table with 10 degrees of freedom and a 99% confidence level, we find the t-value to be 3.169.

Plugging in the values, we get:

-9.5 +/- 3.169 * (38.3 / sqrt(11))

Which simplifies to:

-9.5 +/- 23.5

Therefore, the 99% confidence interval for the difference in means is (-33, 14).

HELP ME!!!!
ZEARN!!!!!!!!!

HELP ME!!!!ZEARN!!!!!!!!!

Answers

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

Dooren can type 2 pages of her report in 5 minutes. At this rate, how many pages could she type in half an hour?

Answers

Answer:

60 pages

Step-by-step explanation:

2pages = 5min

30 x 2 = 60

Therefore, in half an hour Doreen can type 60 pages

Please help I’ll upvote your work

Please help Ill upvote your work

Answers

The solution set of f(x) > 0 is x ∈ (-2, 8).

What is the set of the function?

To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.

Let's start by finding the domain of the function:

x² - 6x - 16 ≠ 0

We can solve for x by using the quadratic formula:

x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13

So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).

Now let's factor the numerator and denominator of f(x):

f(x) = (x + 10)/[(x - 8)(x + 2)]

The critical points occur where the numerator or denominator of f(x) changes sign.

The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.

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Deandre's chocolate bar is 53% cocoa. If the weight of the chocolate bar is 69 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.

Answers

The grams of cocoa does it contains is 36.57 grams

How many grams of cocoa does it contains?

From the question, we have the following parameters that can be used in our computation:

Weight of the chocolate bar = 69

Proportion = 53%

This implies that

Grams of cocoa = weight of the chocolate bar * Proportion

Substitute the known values in the above equation, so, we have the following representation

Grams of cocoa = 53% * 69

Evaluate the products

Grams of cocoa = 36.57

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Tickets for a school play cost $6.00 each. Simoom sold 8 tickets to her mother, then sold x tickets to her aunt. How much money did Simoom collect for the tickets

Answers

Answer:

48 + 6x

Step-by-step explanation:

I hope this is right...

Since she already sold 8 tickets, 8x6 is 48.

Then, she sold x tickets to her aunt so it is 6x.

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