find the value of x in the equation without evaluating the power
Answer:
4
Step-by-step explanation:
Here's my method of doing this:
We'll be using logarithms
Our question is:
\((\frac{1}{3})^{2}\) × \((\frac{1}{3})^x\) = \(\frac{1}{729}\)
If we don't want to evaluate any powers at all we'll have to make each term have the same base (so that we can ignore the base — \(\frac{1}{3}\))
we need to figure out what power of a \(\frac{1}{3}\) the \(\frac{1}{729}\) is.
what we can do is the following:
\((\frac{1}{3})^?\) = \(\frac{1}{729}\)
\(3^?\) = 729
If we take the "log" of each, we can find out what power of 3 gives 729.\(log(3^?) = log\ 729\)
We must remember this rule: \(log(a^n) = n \times log(a)\)
\(? \times log 3 = log 729\)
\(? = \frac{log\ 729}{log\ 3}\)
? = 6 (with a calculator)
This means that to get 729, we need to do \(3^6\)
Therefore \((\frac{1}{3})^6 = \frac{1}{729}\)
We can now solve the equation!
\((\frac{1}{3})^{2}\) × \((\frac{1}{3})^x\) = \(\frac{1}{729}\)
\((\frac{1}{3})^{2}\) × \((\frac{1}{3})^x\) = \((\frac{1}{3})^6\)
Since each term of our equation has the same base of \(\frac{1}{3}\) we can ignore it and just deal with the powers!
We must remember this rule: \(x^a \times x^b = x^{a + b}\)
Using this rule:
\((\frac{1}{3})^{2}\) × \((\frac{1}{3})^x\) = \((\frac{1}{3})^6\) becomes...
\(2 + x = 6\)
\(x = 6 - 2 = 4\)
this is for a discussion can anyone help
Answer:
Step-by-step explanation:
To make long equation simpler to simplify
Combine like termsAdd paranetheses in place they're neededRemove redundant termsCancel out the denominator if possibleInverse operation can be used to cancel out terms, which can be used to simplify the expression. Example:
\(x^2 = 9\)
taking the inverse of this by taking teh square root
\(\sqrt(x^2) = \sqrt(9) = 3\)
Jeremiah bought a jacket for $110.25. If sales tax is 8.5%, how much will he pay in total?
Answer:
He would pay $119.62125 -> $119.62
Step-by-step explanation:
Answer:
Step-by-step explanation: x = 119.64
help me its due today :')
Answer:
9 feet easy to solve this is answer
Can someone answer these problems and show how they got the answer? It would be greatly appreciated! 50 POINTS+Brainliest if you show all of the work!
Answer: For the first one the answer is -25/34
Step-by-step explanation:
15-(-10) over -14-20
Answer:
Step-by-step explanation:
the y to the x + the bylingou = the slope point = 46
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
A box contains several copies of Mrs. Spencer's new pamphlet. The box weighs 2,000 grams. This chart shows the effect of adding or taking away a pamphlet. Pamphlets Added to the box(x) Effect on the Box's Weight (y) 0 0 1 6 2 12 3 18 Is this an example of continuous or discrete data? discrete continuous
Answer:
This example represents discrete data.
Step-by-step explanation:
Discrete data refers to information that can only take certain specific values. In this case, the number of pamphlets added to the box (x) can only take on integer values such as 0, 1, 2, 3. Similarly, the effect on the box's weight (y) is also given as specific values: 0, 6, 12, 18.
In contrast, continuous data would involve measurements that can take any value within a range, such as height, weight, or temperature.
Since the number of pamphlets added and the corresponding effect on the box's weight are presented as specific, separate values, the data in this example is considered discrete.
A coach calculated the mean and the mode of the number of points scored by 6 players.
• mean: 7 points
mode: 8 points
How many points did player 5 score?
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
An isosceles trapezoid has a perimeter of 33 centimeters. Its shorter base measures 6 centimeters and its longer base measures 9 centimeters. The two remaining sides have the same length; what is that length?
Answer:
I don't know what you think you should
identify each angle that is adjacent to angle 2. I will mark brainliest
Answer:
Angles 1 and 4
Step-by-step explanation:
The two angles are said to be adjacent angles when they share the common vertex and side.
In our case, angles 1 and 4 are the answers.
For two figures to be considered congruent, their corresponding sides and angles must all be the same. Congruence can occur in any geometric figures, from simple line segments to complicated shapes with many sides and angles. Here’s another way to think about congruence: if you cut two figures out of paper, you could place one cutout on top of the other cutout and it would disappear. Consider that geometric figures are made up of an infinite number of points. When superimposed on top of each other, all of the points in one figure would match up with all of the points in the other figure.
According to the passage, which of the following is not true?
A
Paper cutouts can be used to determine congruence.
B
Congruent figures have exactly the same size and shape.
C
Congruence only happens in three- or four-sided figures.
D
Two octagons can be congruent if their corresponding sides and angles match up.
Answer:
Anwer is C
Step by step explanation:
help.Write an equation that represents the relationship between the x-value and the y-value.
Answer:
y=3x
Step-by-step explanation:
Find the approximate perimeter of the figure below
Can someone please he\p?
Answer:
C. -6.1, -6 4/9, 6.3..., 630%
Step-by-step explanation:
-6.1 in mixed number form is -6 1/10, making it greater than -6 4/9. This is because, if the numbers were positive, -6 4/9 would be greater than -6.1, but since the numbers are negative, it's opposite.
Therefore, the answer is:
C. -6.1, -6 4/9, 6.3..., 630%
Have a nice day and your welcome! Mark brainliest! <3
ILL GIVE 50 + 25 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
x is indirectly proportional to y, if x = 32 and y = -10, write the proportional constant and equation. Then if y = -51, find x.
TYVM!!
Answer: 10
Step-by-step explanation:
add subtract and add again
PLEASE HELP!!!!! SEMESTER TEST PART 2 K12 PLEASE ANSWER ALL THE QUESTIONS GETS BRAINLIEST
Answ
Step-by-step explanation:
which pair of numbers has a lcm of 12
1 and 6
2 and 3
2 and 6
3 and 4
Answer:
3 and 4
and
2 and 6
Step-by-step explanation:
3×4=12
2×6=12
Answer:
3 and 4
2 and 6
Step-by-step explanation:
Cover the edge length to an equivalent fraction.
Height: 2 1/2 units
Answer:
Step-by-step explanation:
1/2 + 2
1/2*2/1 = 4/2+ the 1/2 from the side = 5/2
How did the Hungarians treat the people of Transylvania?
They were imprisoned.
They were treated like slaves.
They were given citizenship.
They were given their freedom.
Answer:
(a)They were treated like slaves.
Answer:
B. Treated like slaves
Step-by-step explanation:
also this is history not math lol
Can y’all help? Image provided
Answer:
Welll, of you know the # of the servings, then u can divide it into 5 parts. just ge the # of servings ÷ 5
8. Explain why 30+1 = 6 is the same as 30 -/-/--/-X-X = 0. What is
the value of x in this example?
Answer:
5
Step-by-step explanation:
5 because of two ways one you could do 6*what is 30. Or you could do repeated addition 30=5+5+5+5+5+5. But when you do 30=5-5-5-5-5-5. You are doing repeated subtraction which is equivalent to 30-5*6= 0.
Hope this helps more than the link! :)
please hurry no links
Find the value of the expression: h x 2 for h = 4
Answer: 8
Step-by-step explanation:
h = 4 so,
the expression will be
4 x 2
= 8
Item 5
In the number 7.7592, how does the value of the 7 in the ones place compare to the value of the 7 in the tenths place?
Drag and drop a fraction into the box to correctly complete the statement.
The value of the 7 in the ones place is Response area the value of the 7 in the tenths place.
Answer:
The value in the ones place is 10 times the value in the tens place
Hope this helps
Which choice when added to | −5 + 7 | will equal zero?
| +5 − 7 | [ 2] − | −5 + 7 | [3] | −( −5 + 7 ) | [4] | 7 − 5 |
i know the anwser is two but how do you get it
i need it by 5/1/23 at 8pm
Answer:
[ 2] − | −5 + 7 |
Step-by-step explanation:
Since we know that | −5 + 7 | is an absolute value, we know that the answer will be positive no matter what.
Step 1) Solve. | −5 + 7 | = 2.
Step 2) Find which other absolute value is equal to -2.
After solving [2], − | −5 + 7 | = -2, we know that the answer is choice 2.
We know this because | −5 + 7 | = 2, however, since it is multiplied by (-), it becomes -2. And 2 + (-2) = 0
???????????????????????????
Answer:
12 and 78 are complementary.
80 and 100 are supplementary.
50 and 50 are neither.
Step-by-step explanation:
Hope it helps! =D
in a survey of 3,100 people who owned a certain type of car, 2,015 said they would buy that type of car again. What percent of people of the people surveyed were satisfied with the car?
The percent of people of the people surveyed were satisfied with the car is the percent of people of the people would buy that type of car again, so we have: 2015 ÷ 3100 × 100% = 65%
ANSWER: 65%
Ok done. Thank to me :3
Answer:
2015 / 3100%= 65%
Step-by-step explanation:
You could never tell how many people there are in this world. So that is why the 3100 should have a percentage which is divided by 2015, equals 65%.
ONE QUESTION just one. Help
Answer:
0.015625
Step-by-step explanation:
Answer:
(1/64) or 0.015625
Step-by-step explanation:
Pretty simple, you just have to square the numerator and denominator. 1 squared is 1 and 8 squared is 64.
pls help me it’s due today