Answers
Answer:
The value of the expression given is:
4Step-by-step explanation:
First, you must divide the expression in three, and to the final, you can multiply it:
[(3^8)*(2^(-5))*(9^0)]^(-2) [(2^(-2))/(3^3)]^4 3^28Now, we can solve each part one by one:
First part.
3^8 = 6561 2^(-5) = 0.03125 9^0 = 1 (Whatever number elevated to 0, its value is 1) (6561 * 0,03125 * 1) = 205.03125And we elevate this to -2:
205.03125^-2 = 2.378810688*10^(-5) or 0.00002378810688Second part.
2^(-2) = 0.25 3^3 = 27 0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925And we elevate this to 4:
0.00925925925925^4 = 7.350298528 * 10^(-9) or 0.000000007350298528Third Part.
3^28 = 2.287679245 * 10^13 or 22876792450000At last, we multiply all the results obtained:
0.00002378810688 * 0.000000007350298528 * 22876792450000 = 3.999999999999999999 approximately 4We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result.
Answer:
\(\Huge \boxed{\mathrm{4}}\)
\(\rule[225]{225}{2}\)
Step-by-step explanation:
\(\displaystyle \sf (3^8 * 2^{-5} * 9^0)^{-2} * (\frac{2^{-2}}{3^3 } )^4 *3^{38}\)
Distributing the power of -2 to the parenthesis,
\(\displaystyle \sf (3^{-16} * 2^{10} * 9^0)* (\frac{2^{-2}}{3^3 } )^4 *3^{38}\)
Distributing the power of 4 to the fraction,
\(\displaystyle \sf (3^{-16} * 2^{10} * 9^0)* (\frac{2^{-8}}{3^{12} } )*3^{38}\)
Multiplying,
\(\displaystyle \sf \frac{3^{-16} * 2^{10} * 9^0* 2^{-8} *3^{38}}{3^{12} }\)
Simplifying,
\(\displaystyle \sf \frac{2^2 *3^{22}}{3^{22} }\)
\(\sf 2^2 =4\)
\(\rule[225]{225}{2}\)
Related Questions
PLEASE HELP DUE AT 3:00 PM EST
A three-character code uses the letters D and Q. Either of the letters may be repeated.
Find the probability of the code QDQ.
Answers
Sarah wants to predict how many t-shirts your homeroom will sell. She wants to compute the mean number of T-shirts sold by the other homerooms to do this.
Explain how the other homerooms' data support David's claim.
PLEASE HELP QUICK. THIS IS A TEST.
Answers
u can add 10 plus 8 u can get 18 or if u get other number u wrong
I realised that there is a lack of information in the question. Please provide so we can guide you.
Please mark this brainliest thank you :)
Adam is purchasing a new television that costs $2,187.96 after tax. He borrowed the money from his parents and must pay back the full amount plus simple interest at the rate of 3.5%. What is the total amount he will pay if he takes 2 years to pay his parents back? (Include Decimal with the cents; No Commas)
Answers
Basic Interest
When there is only one compounding every time period, simple interest is applied.
The formula for calculating interest after t years is 1 = Prt.
Where P is the initial sum and r is the interest rate in decimal form.
The following are the parameters for this problem:
P = 2187.96, r = 0.035, t = 2.
The interest will therefore be paid at the rate of 1=Prt = 2187.96 x 0.035 2 = $153.16.
Jillian calculates that see will take 95 minutes to run 7 miles. She runs the distance in 80 minutes. What is Jillian’s percent error?
Answers
Answer:
Kawaii, the problem is the comparison with the calculated time for Jillian and the actual time for Jillian to run the 7 miles.
%error=(calculated value - experiemental value)/calculated * 100%
%error=(95-80)/95*100%=15/95 *100% = 15.79 ≈ 16% error
Note: 16% error is the approximate error because the numbers have 2 significant figures stated in the problem.
Step-by-step explanation:
5/6 × 36 =?
HELP IS NEEDED!!!!!!!!!!
Answers
Answer:
5/6 × 36 = 30
Step-by-step explanation:
What Is Distributive Property? According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
you have to do all of the questions and add the answers together
Answers
Answer: Where is the question?
Step-by-step explanation:
I'm sorry, I'm not sure what you mean. Could you please clarify which questions you are referring to and what you would like me to add together?
HELP ANSWER THIS I WILL GIVE TEN POINTS AND THANKS!
REMEMBER TO EXPLAIN STEP-BY STEP! AND GET THE CORRECT ANSWER!
The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?
Answers
Answer:
(10t + u)(10u + t) = 4,930
100tu + 10t^2 + 10u^2 + tu = 4,930
101tu + 10t^2 + 10u^2 = 4,930
10t^2 + (101u)t + (10u^2 - 4,930) = 0
(101u)^2 - 4(10)(10u^2 - 4,930)
= 10,201u^2 - 400u^2 + 197,200
= 9,801u^2 + 197,200
We see that u = 5 gives 442,225.
√442,225 = 665
(10t + 5)(50 + t) = 4,930
500t + 10t^2 + 250 + 5t = 4,930
10t^2 + 505t - 4,680 = 0
2t^2 + 101t - 936 = 0
t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)
= (-101 + √17,689)/4
= (-101 + 133)/4 = 32/4 = 8
So the numbers are 58 and 85.
58 + 85 = 143
The diagram shows a box made from a cube with an additional cuboid attached. The area of the cuboid's end surface is 7cm².
The entire box has a volume of 140cm³. How long is each side of the cube?
Give your answer to one decimal place
Answers
If the relationships below are given in the form (input, output), which pairing always describes a function? (a person’s age in years, that same person’s height in inches) (a person’s weight in pounds, that same person’s height in inches) (a person’s height in centimeters, that same person’s height in inches) (a person’s telephone number, that same person’s height in inches)
Answers
Answer:
A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:
(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.
(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.
(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.
(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.
So, the pairings that always describe a function are:
(a person’s age in years, that same person’s height in inches)
(a person’s weight in pounds, that same person’s height in inches)
(a person’s height in centimeters, that same person’s height in inches)
These three pairings meet the criteria of a function, where each input corresponds to a unique output.
The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)
How did we arrive at this assertion?A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:
1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).
2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.
3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.
4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).
So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)
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Fill in the missing digits to complete the division problem. CLEAR CHECK 9 3 | 3 2 7 6 9 − 2 7 ↓ ↓ 0 6 − 0 0 − 0
Answers
what is the height of a rectangular prism that has a volume of 28- meters cubed, a length of 8 meters and a width of 7 meters,
Answers
What is -4/7 divided by 5?
Answers
Answer:
-4/35
Step-by-step explanation:
A book store is giving a 15% discount on all books.
Which expressions can be used to find the sale price of a book with an original price of x dollars? Select all that apply.
A. x + 0.15x
B. -0.15x
C. 1.15x
D. x - 0.15x
E. 0.85x
Answers
Answer:
i think its d
Step-by-step explanation:
discount means subtracting from the original price
Write an equation that reflects this relationship using to represent the amount of fish in grams and to represent the number of calories.
Answers
Answer:
y=3/4x
Step-by-step explanation:
If the line goes over by 30 and up by 40, it is 40y=30x, and simplified and in slope-intercept form, it is y=3/4x
V=3/4x
Step-by-step explanation:
If the line goes over by 30 and up by 40, it is 40y=30x, and simplified and in slope-intercept form, it is y=3/4x
So that will be the answer
I need help, please quickly
Answers
Answer: The ratio is 18:3
Step-by-step explanation:
Answer: 6 to 1
Step-by-step explanation:
A ratio refers to a fraction. In this case the question asks how many players to coaches there are.
The word "to" means that is where the fraction bar goes.
Players/Coaches
There are 18 players and 3 coaches.
18/3
18 can be divided by 3, 6 times so the fraction can be simplified to
6/1 meaning there are 6 players for every coach.
If the circumference of a circle is 11 pi, what is the area?
Answers
Answer:
So our answer in pi form is 30.25π
Step-by-step explanation:
The circumference of a circle is given by the formulas :
\(2\pi r\) or \(\pi d\) where r is radius and d is the diameter
Since
11π = 2πr
We can solve for r to use it in the area of a circle formula:
\(\frac{11\pi }{2\pi } = r\)
r = 5.5
The area of a circle is given by the formula:
\(\pi r^{2}\) where r is the radius/.
Since we found r we can find the area:
π(5.5)² = 30.25π
So our answer in pi form is 30.25π
Answer:
As you have not specified the format in which to give the answer, I am giving three ways of writing it:
\(\sf 30.25 \pi \ units^2\)
\(\sf \dfrac{121}{4} \pi \ units^2\)
95.03 units² (nearest hundredth)
Step-by-step explanation:
Formulae
Circumference of a circle = 2πrArea of a circle = πr²(where r is the radius)
Given:
circumference = 11πTherefore, use the given value and the circumference equation to find the radius:
⇒ circumference = 11π
⇒ 2πr = 11π
⇒ 2r = 11
⇒ r = 5.5
Now we have found the radius, simply substitute this into the equation for area of circle:
⇒ area of a circle = πr²
= π5.5²
= 30.25π units²
ten fewer than 3 times the sum of a number and eight is 2
what is the "number"
Answers
Answer:
3n-10=8*2
3n-10=16
3n=26
n=8.7(rounded)
(i didn't get the 8 is 2 part)
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
Answers
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Find the value of k.
Answers
Answer:
96 degrees
Step-by-step explanation:
180 - 84 = 96
96 + 84 = 180
the table shows how thee coordinates change when you rotate a point 90^0 counterclockwise around the origin. Compare the coordinates of the image point to the original point.
Original: (2,1) (-1,3) (-4,-2) (6,-5)
rotated: (-1,2) (-3,-1) (2,-4) (5,6)
Answers
(8d+4)–(d+2)
Subtract
Answers
Answer:
7d+2
Step-by-step explanation:
:)
Answer: 7d+2
Step-by-step explanation:
(8d+4)-(d+2)
8d+4-d-2
7d-2
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 3700 kilograms have already been loaded into the container. write an inequality representing cc, the total number of 100-kilogram crates that can be loaded into the shipping container.
Answers
23800/100=238
Isabella invests money in an account paying a simple interest of 4.5% per year. If no money will be added or removed from the investment, what should she multiply her current balance by to find her total balance in a year in one step?
Please help! I am terrible at math.
Answers
Answer:
multiple by .045 with her current balance
QUICK HELP
Paul’s bank does not charge him a fee for cashing checks as long as he keeps a balance, b, of at least $500 in his checking account. Which inequality represents this situation?
A.
b>$500
B.
b≤$500
C.
b<$500
D.
b≥$500
Answers
Answer:
D
Step-by-step explanation:
The symbol, ≥, represents at or greater than the amount on the right side. This means the balance must be at or greater than $500.
HELP
The question is in the attachment below
Answers
Answer:
2 miles / (1/2) hour = 4 miles/hour
h = 4m
At (1, 4), the constant of proportionality appears.
Please look at the photo
Answers
Answer:
Loren's work is not correct because you are originally dividing by 61.4. In the division problem, they moved the decimal point to the right and did the same to the problem inside of the division symbol to make it easier. After you would finish doing all the division, you would count the amount of spaces behind the decimal point and put the decimal point that many spaces in the answer. Loren forgot to count the decimal point that you moved right at the beginning. To summarize, Loren forgot the decimal point you moved at the beginning and Maddie is correct.
Step-by-step explanation:
find the greatest possible decimal with 2 decimal places that is equal to 7 when rounded to the nearest whole number.
Answers
Answer:
7.49
Step-by-step explanation:
When rounding, if it is below 4 you round down, but above 5 is rounded up. Also, you look to the decimal closest to the number you are rounding. So, the greatest possible number is 7.49.
20 points to whoever gets these right!! <3
Answers
Answer:
1st one 8/20
Step-by-step explanation:
What’s j+12=25 tape diagram
Answers
An equation is a mathematical statement that shows two mathematical expressions equal.
An equation consists a variable that does not have a fixed value to it.
Given,
j+12=25
Here ‘j’ is the variable.
To find ‘j’ we just need to 12 from 25.
So, 25 - 12 = 13
Hence, now we know that ‘j’ is equal to 13.
Proof :
13 + 12 = 25
Learn more about Equations here
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Mark BRAINLIEST
Is it correct now???? :D
Answers
Answer:
yep, the swirly one or curved one is nonlinear
Step-by-step explanation:
Answer:
Ye
Step-by-step explanation: