what is the value of power 0f a if a in 5 ^ a = 1 over 125​

Answers

Answer 1

Answer:

㏑(5a)=㏑(1)

Expand ㏑(5a) by moving a outside the logarithm.

.................................

a㏑(5)=㏑(1)

a=0/㏑(5) => a=0

Step-by-step explanation:


Related Questions

using the f-notation identify the f-value having area 0.975 to its left

Answers

Using the f-notation, the f-value having area 0.975 to its left is 10.65.

What is the f notation?

The f-notation represents the cumulative distribution function of the F-distribution, which is a probability distribution that arises in the context of hypothesis testing and statistical inference.

It should be noted that to find the f-value having area 0.975 to its left, we need to use a table of values for the F-distribution or a statistical software that can calculate the inverse cumulative distribution function. Here, we assume that the degrees of freedom are known. In this case, the value is 10.65.

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using the f-notation identify the f-value having area 0.975 to its left

$5,025 per year for a weekend lifeguarding job at a local pool. He wants to know how much his monthly

Answers

Answer:

He would have to divide 5,025 by 12 which is 418.75

Step-by-step explanation:

I explained it up there. Hope this helps!

A rectangular solid with sides a and b, and with a height of 20 cm has a volume of 120 cm³. Find the formula which defines b in terms of a. Why is this formula an indirect proportion? What is the domain of this function? A rectangular solid with sides a and b, and with a height of 20 cm has a volume of 120 cm³. Find the formula which defines b in terms of a. Why is this formula an indirect proportion? What is the domain of this function?

Answers

The volume of a rectangular solid is given by V = abh, where a, b, and h are the length, width, and height of the solid, respectively. We are given that the height of the rectangular solid is 20 cm, and its volume is 120 cm³. Substituting these values into the formula, we get:

120 = ab(20)

Simplifying this equation, we get:

b = 6/a

Therefore, the formula that defines b in terms of a is b = 6/a.

This formula is an indirect proportion because as the value of a increases, the value of b decreases, and vice versa. In other words, the product of a and b is constant (in this case, 120), so if one of the variables increases, the other must decrease to maintain the same product.

The domain of this function is all positive real numbers except for a = 0, since division by zero is undefined. Therefore, the domain of the function is (0, ∞).

Find the value of x and 30 degrees 45 degrees

Answers

The values of the trigonometric functions for 30 degrees are sine = 1/2, cosine = √3/2, and tangent = 1/√3. The values of the trigonometric functions for 45 degrees are sine = √2/2, cosine = √2/2, and tangent = 1.

Trigonometric functions are ratios that relate the sides of a right triangle to its angles. The sine function represents the ratio of the length of the opposite side to the length of the hypotenuse, the cosine function represents the ratio of the length of the adjacent side to the length of the hypotenuse, and the tangent function represents the ratio of the length of the opposite side to the length of the adjacent side. The values of these functions depend on the angle being measured.

As for solving for the value of x, it is not possible without more information about the equation in question. Different equations require different methods of solution, and without knowing the specific equation, it is impossible to provide a solution. In general, the process of solving an equation involves manipulating the equation algebraically to isolate the variable being solved for. Once the variable is isolated, the value can be calculated.

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Solve the proportion.
8/9 = p/81

Answers

Step-by-step explanation:

8/9 = p/81

641/9 = p

p = 71.2

Answer:

p=72

Step-by-step explanation:

8/9=p/81

cross multiply

8(81)=9p

648=9p

/9.    /9

72=p

hopes this helps

Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.


Outcome Frequency
Green 4
Black 6
Orange 5

Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67

Answers

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Plz plz plz help me quickly I’ll give brainlist!!!!!!!!!!

Plz plz plz help me quickly Ill give brainlist!!!!!!!!!!

Answers

Answer:

Yeah, I also got 2.4 percent..

hello, can you please check if this is correct?

hello, can you please check if this is correct?

Answers

Answer:

(0,-2)

Step-by-step explanation:

The y axis is the axis that is up and down

The y intercept or where it cuts the y axis is at the point -2

The x value is 0 and the y value is -2

The y intercept is (0,-2)

Answer:

it's 0,-2

Step-by-step explanation:

Look where it touches the y axis (going up and down)

PLEASE HELP Which ordered pair is a solution of the line y – 2x = 6? (2, 2) (0, -3) (-3, 0) (1, -3)

Answers

Answer:

(-3,0)

Step-by-step explanation:

I just plugged in each ordered pair till i found the correct one. But you could also graph the line y= 2x + 6 and see which coordinate it goes through

Answer:

0,-3

Step-by-step explanation:

first you want to find the equation of the line by adding 2x to both sides to get

y=2x+6

then you would plug in the numbers to find the correct points.

(2)=2(2)+6

this doesn't work so it is not the answer

(0)=2(-3)+6

that would work so the answer would be 0,-3

need help homies, no steps needed

need help homies, no steps needed

Answers

Answer:

12 have a good day

Step-by-step explanation:

Find the equation of a line that pae through the point (-2,-3) and ha a gradient of -3. Leave your anwer in the form y = m x c

Answers

The equation of line is y = -3x - 9

To solve this problem we will use slope intercept form in straight lines.

The slope-intercept form is one of the ways to represent a straight line.

To form the slope-intercept form of a line we need the slope of the line and it,s y intercept.

y = Mx + c

Where,

M = Slope of the line

c = y-intercept of the line

(x,y) are the points that satisfy the line or we can say lie on a line.

now, moving to the problem  we have,

M = -3

x = -2

y = -3

Equation of line is y = -3x + c

There is one unknown term here which is c.

So to find it we will put (-2,-3) in the line.

-3 = (-3)(-2) + c

c = -9

Hence the equation of a line is y = -3x -9

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Recently, class A had a Math exam, but class B had a Verbal exam. Joe in class A has a math score of 160. The math scores in class A have and . Eric in class B has a verbal score of 80. The verbal scores in class B have and . Suppose students in classes A and B have very similar academic background. Further suppose that both classes are huge and we can consider the 2 data sets as 2 populations. Which of the following statements

Answers

The correct statement is that Joe performed worse than Eric.

To determine which student performed better, we need to compare their standardized scores. Joe's math score of 160 in class A has a mean (μ) of 150 and a standard deviation (σ) of 20. We calculate the z-score for Joe's score as follows:

z = (160 - 150) / 20 = 0.5

On the other hand, Eric's verbal score in class B is 80, with a mean (μ) of 72 and a standard deviation (σ) of 8. The z-score for Eric's score is calculated as:

z = (80 - 72) / 8 = 1

Comparing the z-scores, we find that Eric has a larger standardized score (z = 1) compared to Joe's score (z = 0.5).

This indicates that Eric's score is relatively higher compared to the mean and standard deviation of his class, suggesting better performance.

Therefore, the correct statement is that Joe performed worse than Eric.

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Write the equation of the line that passes through the points (6,-4) and (6,-1) Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answers

The line that passes through the points (6,-4) and (6,-1) is:

x = 6

How to find the equation of the line?

We want to find the equation of the line that passes through the points (6, -4) and (6, -1)

Now, this is really trivial, as you can see that both points have the same x-value (the x-value is the first value of each coordinate pair), which means that our line is x = constant = 6

Then we have a vertical line:

x = 6

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If the sum of the interior angles of a polygon is 4680°, how many sides does the polygon have?

Answers

Answer:

oh yes i see

Step-by-step explanation:

ya well good luck! :)

Bob and Alice each have a bag that contains one ball of each of the colors blue, green, orange, red, and violet. Alice randomly selects one ball from her bag and puts it into Bob’s bag. Bob then randomly selects one ball from his bag and puts it into Alice’s bag. What is the probability that after this process the contents of the two bags are the same? (Hint: you can simplify your solution using "without loss of generality".)

Answers

The probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

Without loss of generality, we can assume that Alice selects a ball from her bag and puts it into Bob's bag first.

At the start, there are a total of 5 balls in each bag, so the probability of Bob selecting the same ball that Alice put into his bag is 1/5. After this exchange, each bag now contains 6 balls.

Now, Alice randomly selects a ball from her bag, which has 6 balls in total. The probability of Alice selecting the same ball that Bob put into her bag is also 1/6.

To find the overall probability, we multiply the probabilities of both events occurring:

Probability = (1/5) \(\times\)(1/6) = 1/30.

Therefore, the probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

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A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.

Answers

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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A map is drawn using a scale of 1cm/80 mi
Two cities are 280 miles apart
How far apart are the cities on the map?

Answers

Answer:

280/80 = 28/8 = 7/2 = 3.5 cm

Step-by-step explanation:

the ratio is 1cm/80mi = a cm/280mi

so you get 280cm * mi = 80mi*a cm

so a = 280/80 = 3.5  


What would happen if you subtracted the equation for z from the equation for 10z?



Answers

Answer:9z

Step-by-step explanation:10z-1z=9z

Answer:

the answer would be 3

Step-by-step explanation:

9z = 3

Here’s another one.. so sorry if this confused you..

(Also I got this question wrong..)

Heres another one.. so sorry if this confused you.. (Also I got this question wrong..)

Answers

Answer:

hmmm did you try 14?

It’s prob 13,


I dunno.. I keep thinking since it has the eighth meaning 8. Do 20-8=13


A store kepper increased the price of hats by 5%. a hat was originally at 15.00 what is the new cost of the hat

Answers

Answer:

$15.75

Step-by-step explanation:

We know

A storekeeper increased the price of hats by 5%

100% + 5% = 105%

So, the hat cost is now 105% of its original cost.

105% = 1.05

15 times 1.05 = $15.75

The new cost of the hat is $15.75

need help asap… plssss

need help asap plssss

Answers

Answer: \(\sqrt{0.15}\) and \(\frac{11}{28}\)

Step-by-step explanation:

       First, we will turn the percent into a decimal. A percent divided by 100 becomes a decimal.

42% / 0.42

       Next, we will divide \(\frac{3}{8}\) and turn it into 0.375 because it makes them easier to compare.

       Lastly, we will compare all the given answer options and see which are greater than 0.375 and less than 0.42.

✗ \(\frac{4}{9}\) = 0.444444

✓ \(\sqrt{0.15}\) = 0.387

✗ 0.3

✗ 3.9

✓    = 0.39

Find the area.

A. 188 in.2
B. 278 in.2
C. 322 in.2
D. 250.5 in.2

Find the area. A. 188 in.2B. 278 in.2C. 322 in.2D. 250.5 in.2

Answers

A 188 inches .2 Because you have to run them all to the nearest five

in government data, a household consists of all occupants of a dwelling unit. choose an american household at random and count the number of people it contains. here is the assignment of probabilities for the outcome. the probability of finding 3 people in a household is the same as the probability of finding 4 people.

Answers

The probability that the household contains 3 people must be 0.16

The probability of finding 3 people in a household is the same as the probability of finding 4 people.

The probability = Number of favorable outcomes / Total number of outcomes

The probability is the occurrence of the random event. The value of the probability varies from 0 to 1

Therefore if we add all the probability together, the result will be one

Also The probability of finding 3 people in a household is the same as the probability of finding 4 people.

Consider the probability of finding 3 people = Probability of finding 4 people = x

Then the equation will be

0.25 + 0.32 + x + x + 0.07 + 0.03 + 0.01 = 1

Add the terms

0.68 + 2x = 1

2x = 1 - 0.68

2x = 0.32

x = 0.32 / 2

x = 0.16

Hence, the probability that the household contains 3 people must be 0.16

The complete question is:

In government data, a household consists of all occupants of a dwelling unit. choose an American household at random and count the number of people it contains. here is the assignment of probabilities for the outcome. the probability of finding 3 people in a household is the same as the probability of finding 4 people. what is the probability of finding 3 people in the household ?

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in government data, a household consists of all occupants of a dwelling unit. choose an american household

what is 7 + (-5) + (-3)

Answers

Answer:

-1

Step-by-step explanation:

7+(-5)+(-3)

7-5-3

7-8

=-1

Answer:

the answer is -1

Step-by-step explanation:

simple:

7+(-5)

= +2  ( seven has the higher absolute value, so we go with positive)

+2 + (-3)

= -1 (we go with the negative this time because -3 has the higher absolute value)

(answer is above)

Solve the system of equations 2x - 7y =7 8x - 28y = 32

Answers

The given pair of equations has no solution.

a system of linear equation in 2 variables is expressed as ax+by+c=0

where a,b,c are constants and x,y are variables.

we can find its solution by following methods:

substitution methodaddition methodelimination methodsubtraction method.

In each of these methods we have to eliminate one variable by replacing, adding or subtracting it from other equation.

The value of the remaining variable can be found by putting the value of known variable in the original equation.

Here In this given question we will first find out the value of x from the 1st equation in terms of variable y and then substitute in other equation to get the answer.with this method we get the following:

equation 1: 2x - 7y = 7

equation 2: 8x - 28y = 32

The first equation can be re-written as: x = (7 + 7y)/2

This can be substituted into the second equation and solved:

(7+7y)4 - 28y = 32

28 + 28y - 28y = 32

28=32(which is not possible)

.: No solution.

So, no solutions for these equations exists.

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The equation shows the relationship between x and y: y = -4x + 9 What is the slope of the equation? (5 points)​

Answers

Answer:

the answer is m= -4

Step-by-step explanation:

hope this helps!! have a nice day!!

Can I conclude ? (Please don’t be wrong I’ll give brainlist)

Can I conclude ? (Please dont be wrong Ill give brainlist)

Answers

Answer:

Yes

Step-by-step explanation:

ΔGHJ ≅ΔGKJ    -------> A A S congruent

If p=180−0.2D, calculate the optimal profit if the total cost is $30,500.

Answers

To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.



To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:

Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).

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Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).

Answers

Answer:y =3 x=1 hope this helps :)

Step-by-step explanation:

four hundred seventeen ten-thousandths is how much greater than four hundred seventeen hundred-thousandths?

Answers

\(\begin{gathered} \text{Four hundred seventeen ten-thousandts}\Rightarrow0.0417 \\ Four\text{ hundred sevent}een\text{ hundred thousandths}\Rightarrow0.00417 \\ So,0.0417-0.00417 \\ \Rightarrow0.03753 \end{gathered}\)

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