32^1/25 x 2^x = 8^1/4. work out the exact value of x.

Answers

Answer 1

Answer:

The exact value of x is 2.

Step-by-step explanation:

To find the exact value of x, we need to solve the given equation for x. The equation is:

32^1/25 x 2^x = 8^1/4

To solve this equation, we need to rewrite it in a form that allows us to isolate the variable x. We can start by using the properties of exponents to simplify the left-hand side of the equation. We can use the property that says that raising a number to a fractional power is the same as taking the square root of that number, raised to the power of the denominator of the fraction. So, we can write:

(32^1/25)^2 = (32^1/25)^25/25 = 32^1/25

This simplification allows us to rewrite the left-hand side of the equation as follows:

32^1/25 * 2^x = (32^1/25)^2 * 2^x

Next, we can use the property of exponents that says that the product of two numbers raised to the same power is equal to the product of the numbers, raised to that power. So, we can rewrite the left-hand side of the equation as follows:

(32 * 2)^1/25 * 2^x = (32^1/25)^2 * 2^x

Then, we can use the property of exponents that says that raising a product to a power is the same as raising each factor to that power. So, we can rewrite the left-hand side of the equation as follows:

(32^1/25) * 2^(1/25 + x) = (32^1/25)^2 * 2^x

Finally, we can use the property of exponents that says that the exponent of a power is equal to the product of the exponents of the base and the power. So, we can rewrite the left-hand side of the equation as follows:

(32^1/25) * 2^(1/25 * 25 + 1 * x) = (32^1/25)^2 * 2^x

Since the right-hand side of the equation is already in a form that allows us to isolate the variable x, we can now use the property of exponents that says that raising a number to a power and then taking the square root of that number is the same as


Related Questions

In a regression analysis, the coefficient of correlation is .16. The coefficient of determination in this situation is a. 4.00. b. 2.56. c. .4000. d. .0256.

Answers

The coefficient of determination in a regression analysis with a coefficient of correlation of 0.16 is 0.026, which corresponds to option d.

The coefficient of determination, denoted as R-squared, is a measure of how well the regression line fits the observed data. It represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s).

The coefficient of correlation, denoted as r, is the square root of the coefficient of determination. In this case, since the coefficient of correlation is 0.16, the coefficient of determination is 0.16 squared, which is equal to 0.026.

Option d, 0.0256, is the closest value to the coefficient of determination of 0.026, which corresponds to the given coefficient of correlation of 0.16. Therefore, option d is the correct answer.

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Jen's goal is to run a total of 22 miles in 5 days Monday she ran for three quarters of a mile Tuesday 5:00 and 1/8 Wednesday 0 Thursday 6 and 1/4 how many did she run on Friday

Answers

Jen needs to run 6 and 7/8 miles on Friday to reach her goal of running a total of 22 miles in 5 days.

We have,

To find out how many miles Jen ran on Friday, we can start by adding up the miles she ran on Monday, Tuesday, Wednesday, and Thursday:

Monday: 3/4 mile

Tuesday: 5 miles and 1/8 mile

Wednesday: 0 miles

Thursday: 6 and 1/4 miles

Total miles from Monday to Thursday:

3/4 + 5 + 1/8 + 0 + 6 and 1/4 = 15 miles and 1/8

We know that Jen's goal is to run 22 miles in 5 days.

So, to find out how many miles she needs to run on Friday, we can subtract the total miles she has already run from her goal:

22 - 15 and 1/8 = 6 and 7/8 miles

Therefore,

Jen needs to run 6 and 7/8 miles on Friday to reach her goal of running a total of 22 miles in 5 days.

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What are the coordinates of the point on the
directed line segment from (4, 3) to (9, 8) that
partitions the segment into a ratio of 2 to 3?

Answers

The required coordinates are (6, 5).

Let A denotes the point (4, 3), and B denotes the point (9, 8).

Let C denote the point which divides the line segment AB in the ratio of 2:3.

The distance between A(4, 3) and B(9, 8) is given by

AB = √{(x₂ - x₁)² + (y₂ -y₁)²}

= √{(9 - 4)² + (8 - 3)²

= √{5² + 5²}

= √(2×5²)

= 5√2

We have AC + BC = AB

AC and BC are in the ratio 2:3.

Therefore 2x + 3x = AB

⇒5x = 5√2

⇒x = √2.

Therefore, AC = 2√2 and BC = 3√2.

Using the distance formula,

AC = √{(x - 4)² + (y - 3)²}

⇒ 2√2 = √{(x - 4)² + (y - 3)²}

⇒ √(2² + 2²) = √{(x - 4)² + (y - 3)²} (taking the 2 inside the square root.)

⇒ x - 4 = 2 ⇒ x = 6

⇒ y - 3 = 2 ⇒  y = 5.

Therefore the required coordinates are (6, 5).

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you may not use the break and continue statements within the same set of nested loops. t/f

Answers

The given statement is false because In programming, the break and continue statements serve different purposes and can be used independently or together within nested loops.

The break statement is used to exit the current loop prematurely. When encountered, it terminates the loop and continues with the next statement after the loop. This can be useful when a specific condition is met, and you want to stop the execution of the loop immediately.

The continue statement, on the other hand, is used to skip the current iteration of a loop and move on to the next iteration. It allows you to skip certain iterations based on a specific condition without terminating the entire loop.

Both break and continue statements can be used within nested loops. In such cases, the break statement will exit only the innermost loop it is placed in, while the continue statement will skip to the next iteration of the innermost loop.

By using break and continue strategically within nested loops, you can control the flow of execution based on specific conditions. This flexibility allows you to fine-tune the behavior of your program and optimize its efficiency.

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Note : This is a computer science question

the solomon four-group design utilizes how many control groups?

Answers

The Solomon four-group design includes two control groups: one that is not pretested and does not receive treatment, and another that is not pretested but receives treatment.


In the Solomon four-group design, there are two treatment groups and two control groups. The purpose of this design is to examine the interaction effect between pretesting and treatment.

The first control group does not receive any treatment, while the second control group also does not receive treatment but is pretested. These two control groups help to measure the impact of pretesting on the dependent variable.

The two treatment groups receive the treatment being studied, with one group being pretested and the other group not being pretested. By comparing the pretested and non-pretested treatment groups, researchers can determine if there is an interaction effect between pretesting and the treatment.

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can someone help with this? ​

can someone help with this?

Answers

Answer:

-√(18)i, √(18)i

Step-by-step explanation:

3x^2+54 = 0

So first, no real solution, but...

x^2+18 = 0

x^2 = -18

==> x = -√(18)i, √(18)i

A four-foot tree was planted. It will grow 2.5 feet each year. The relationships between x, the number of years since the tree has been planted, and y, the projected height of the tree is a linear relationship.

Write an equation to represent this relationship.​

Answers

The relation between these two variables can be represented by the linear equation:

y = 4ft + 2.5ft*x

How to write an equation that represents this relationship?

We know that the original height of the tree was 4 ft, and it grows 2.5 feet each year.

Then if we define the variables:

y = height.

x = number of years.

The relation between these two variables can be represented by the linear equation:

y = 4ft + 2.5ft*x

This linear equation relates the height of the tree as a function of the number of years since it was planted.

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Answer:

y = 4ft + 2.5ft*x

Step-by-step explanation:

What is the value of f(x) when x = −3

Evaluate f(x) = 3x − 7 when x = 4.

Hurry and solve these 2 questions!!

Answers

F(-3) = -16 and f(4)=5 these are the correct answers

Find the slope for the line that passes through the points (-2,5) and (1,0)

Answers

Answer:

\(m=\frac{-5}{3}\)

Step-by-step explanation:

Pre-Solving

We want to find the slope between the points (-2,5) and (1,0).

The slope (m) can be found using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are points.

Solving

We are already given the values of the points, but let's label their values to avoid any confusion and mistakes.

\(x_1=-2\\y_1=5\\x_2=1\\y_2=0\)

Now, substitute into the formula.

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{0-5}{1--2}\)

Simplify this to:

\(m=\frac{0-5}{1+2}\)

\(m=\frac{-5}{3}\)

The slope is -5/3.

A ladder is 50 feet and a cast a 25 foot shadow, Mark is 6 feet how long would his shadow be?

Answers

I believe the answer is 3

They are tryng to compare the ladder to Mark

If Mark is 6 ft. Long he would have a shadow with the length of 3

The ladders shdw is half of its actual size!

So Marks wouldbe too

pleaseee helppppp..will give 15 pts​

pleaseee helppppp..will give 15 pts

Answers

I think square is the right answer

Find the value of x. Round your answer to the nearest tenth.

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

3.106

Step-by-step explanation: hope this helps

Answer:

Step-by-step explanation:

\(Sin \ 15 =\dfrac{opposite \ side}{hypotneuse}\\\\\\0.2588=\dfrac{x}{12}\\\\\\0.2588*12=x\)

x = 3.1056

x = 3.1

Thomas bought 120 whistles, 168 yo-yos and 192 tops. He packed an equal amount of items in each bag. A) What is the maximum number of bag that he can get?

Answers

Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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y= 2x-3
y= x+4
Graph each system and determine the number of the solutions that it has. If it has one solution, name it.

Answers

x=7
y=11
basically just put the equations together because they are both equal to y

2x-3 = x+4
then just evaluate that and you’ll find x
after just input the answer into one of the equations and then you get your answers
i hope this help!!

Callie has 3,264 beads. She wants to divide the beads evenly to make 32 necklaces. How many beads will be
used for each necklace?

Answers

Answer:

102 beads will be used for each necklace.

Step-by-step explanation:

3,264/32=102

what is the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time?

Answers

Using the concepts of probability, we got that  0.063 is the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time

We know very well that probability is defined as the fraction of number of favorable outcomes to the total number of outcomes.

Here, we are rolling a 6-faced dice.

Getting 3 on the top face of dice is same as the any number getting from 1 to 6 on the top face of the dice.

So, every number has equal probability to come on the top face,  therefore the probability of getting 3 on the top face of dice is (1/6)

Now, similarly total number of marbles in the bag=6 blue +3 black+8 orange marble=17 marbles.

Now, picking one marble from 17 marble is can be done in \(^1^7C_1\)  ways, similarly  choosing 1 blue marble from 6 marble can be done in \(^6C_1\) ways.

So, probability of picking 1 blue marble randomly=6/17

Now, the probability of picking 1 blue marble from 17 marbles along with rolling dice probability is given by =(6/17)×(1/6)=(1/17)=0.063

Hence, the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time is 0.063

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the lifetimes of lightbulbs of a particular type are normally distributed with a mean of 392 hours and a standard deviation of 9 hours. find the 90th percentile.

Answers

The 90th percentile with a mean of 392 hours and a standard deviation of 9 hours is  403.538.

Given:

The lifetimes of light bulbs of a particular type are normally distributed with a mean of 392 hours and a standard deviation of 9 hours.

P(z<=?) = 0.90

z = 1.282

1.282 = x - mean / standard deviation

1.282 = x - 392 / 9

1.282 * 9 = x - 392

11.538 = x - 392

x = 392 + 11.538

x = 403.538.

Therefore the 90th percentile with a mean of 392 hours and a standard deviation of 9 hours is 403.538.

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can anyone help me it’s algebra 2

can anyone help me its algebra 2

Answers

Answer:

2.5

Step-by-step explanation:

4x+1=11

4x=11-1

4x=10

x=10/4

=2.5

ANSWER:

2.5

STEP-BY-STEP-EXPLANATION

4x + 1 = 11
4x = 11 - 1 (get the numbers on one side)
4x = 10
x = 10/4
x = 2.5

Hope that helped

Simplify by combining like terms. 8x + 9 - 4x + 12


SOMEONE PLS HELPP, I NEED TO TAKE THIS TEST TO BRING UP MY GRADE PLS ANSWER FAST‼️‼️‼️

Answers

4x+21 I think I’m not sure.

Create an
equation that has -13 and 12
as solutions.

Answers

Answer:

-13 + 25 = 12

Step-by-step explanation:

You get 12 because 13 is a negative so subtract 25 from 13 and that turns 13 into 0 so 0 + 12 = 12

Sorry if my explanation didn't make sense.

A system of equations and its solution are given below.

System A
5x-y=-11
3x-2y=-8
solution: (-2,1)

To get system B below, the second equation in system A was replaced by the sum of that equation and the first equation in system A multiplied by -2.

System B
5x-y=-11
?


A.
The second equation in system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
B.
The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
C.
The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
D.
The second equation in system B is 7x = 30. The solution to system B will not be the same as the solution to system A.

Answers

I think its B i could be wrong though
B I had this one one of my test before

If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°, then find m∠1 and m∠2. *

Answers

Answer:

64, 26

Step-by-step explanation:

Complementary angles = two angles added up to 90 degrees

(14 x + 8) + (8x - 6) = 90

22x + 2 = 90

22x = 88

x = 88/22

x = 4

14x + 8

= 14(4) + 8

=56 + 8

= 64

8x - 6

= 8(4) - 6

=26

holaaandaaa cuanto es 22+22

Answers

Step-by-step explanation:

22+22=44

Es una pregunta fácil, incluso un niño pequeño puede responder a esto.

Simply 12/16 to lowest term and find an equivalent faction that has a denominator of 32

6/8, 28/32
3/4, 12/32
3/4, 24/32
2/6, 24/32

Answers

Because of this, 24/32 is the equal fraction of 12/16 with a denominator of 32.

what is fraction ?

A mathematical expression that depicts a portion of a whole is a fraction. Normally, it is marked with a horizontal line separating the numerator from the denominator. A few examples of fractions are 1/2, 3/4, and 5/8. The denominator represents the overall number of parts in the whole, whereas the numerator represents the number of parts that are being taken into account. For instance, in the fraction 3/4, the denominator 4 denotes the entire number of parts in the whole, while the numerator 3 denotes three parts.

given

We can divide both the numerator and the denominator by their largest common factor, which is 4 to simplify 12/16 to its simplest form. Therefore:

12/16 = (12 ÷ 4) / (16 ÷ 4) = 3/4

We must multiply the numerator and denominator of 3/4 by an appropriate factor that will produce a denominator of 32 in order to discover an equivalent fraction with a denominator of 32.

Since 4 x 8 = 32, we can multiple the numerator and denominator by 8 to get the following result:

3/4 = (3 × 8) / (4 × 8) = 24/32

Because of this, 24/32 is the equal fraction of 12/16 with a denominator of 32.

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improper fraction: 3 ⅝

Answers

Answer: The improper fraction for 3 ⅝ is 29/8.

Step-by-step explanation: ^^

How many 2 1/7 inch pieces of thread can be
cut from a spool with 8 3/4 inches of thread?

Answers

A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.

How many pieces of thread can be cut ?

In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)

Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be

calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.

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Which type(s) of symmetry does the uppercase letter H have? (1 point)
reflectional symmetry
point symmetry
reflectional and point symmetry
rotational symmetry

Answers

The uppercase letter H has reflectional symmetry and does not have rotational symmetry or point symmetry.

The uppercase letter H has reflectional symmetry. Reflectional symmetry, also known as mirror symmetry, means that there is a line (axis) along which the shape can be divided into two equal halves that are mirror images of each other. In the case of the letter H, a vertical line passing through the center of the letter can be drawn as the axis of symmetry. When the letter H is folded along this line, the two halves perfectly match.

The letter H does not have rotational symmetry. Rotational symmetry refers to the property of a shape that remains unchanged when rotated by a certain angle around a central point. The letter H cannot be rotated by any angle and still retain its original form.

The letter H also does not have point symmetry, which is also known as radial symmetry or rotational-reflectional symmetry. Point symmetry occurs when a shape can be rotated by 180 degrees around a central point and still appear the same. The letter H does not exhibit this property as it does not have a central point around which it can be rotated and remain unchanged.

In summary, the uppercase letter H exhibits reflectional symmetry but does not possess rotational symmetry or point symmetry.

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Write a question that has the quotient of -3/8

Answers

-6/16 hope this helps

Lee's cell phone plan includes calls and texts. He pays $40 for unlimited calling. He also pays $0.10 for every text message sent. Which of the tables shown here correctly describes the relationship between the number of text messages Lee sends in a month, x, and the cost in dollars, y, of his monthly bill? Select all that apply.

Answers

Answer:

hi 40.1 i need  friend

Step-by-step explanation:

is 1.25 the same as 25%???????????????????????

Answers

Answer:

It depends on what your original amount is

Step-by-step explanation:

If the original value is 5, then yes 1.25 is 25% of five. If not, then they are not the same.

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