A and b are positive integers and a-b=2 ... Evaluate the following:
27^1/3 b / 9^1/2 a
There is an image attached of the problem
Answers
Answer:
Step-by-step explanation:
a-b=2
[tex]\frac{27^{\frac{1}{3} b} }{9^{\frac{1}{2}a } } \\=\frac{(3^{3}) ^{\frac{1}{3} b} }{(3^{2} )^{\frac{1}{2} a} } \\=\frac{3^b}{3^a} \\=3^{b-a} \\=3^{-(-b+a)} \\=3^{-2}\\=\frac{1}{3^2} \\=\frac{1}{9}[/tex]
Related Questions
In the picture, the "3" is called...
Answers
Answer:
The radical sign
Step-by-step explanation:
In the picture 3 is called the radical sign. So option 3 is correct.
9. Bianca is hosting a dinner party for 10 people. The main course's recipe states
that 400 g of sausage and 500 g of dry pasta is enough for four people.
a) How much sausage will she need?
b) How much pasta will she need?
Answers
Answer:
a) 1000 grams
b) 1250 grams
Step-by-step explanation:
Find out how much grams of sausage and dry pasta she needs for each person.
4 people = 400 g
1 person = 400 ÷ 4 = 100 g (sausage)
4 people = 500 g
1 person = 500 ÷ 4 = 125 g (dry pasta)
Find out how much grams of sausage and dry pasta is needed for 10 people.
10 person = 100 x 10 = 1000g (sausage)
10 person = 125 x 10 = 1250g (dry pasta)
what is the measure of the angle
Answers
Answer:
70
Step-by-step explanation:
all angles that are triangles= to 180 so 180-110=70
In 6 months, the membership of the fitness company went from 3500 to 4200. What was the percent of increase in the membership
Answers
Answer:
20% increased
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side of the right
triangle.
15
20
Helppppp
Answers
Answer:
25 units
Step-by-step explanation:
H^2= S1^2 + S2^2
= 15^2 + 20^2
=225 + 400
= 625
= square root of 625
= 25 units
23/50 simplified in fraction form
Answers
The simplified fraction is 23/50.
We have,
To simplify the fraction 23/50, find the greatest common divisor (GCD) of the numerator (23) and the denominator (50), and then divide both the numerator and the denominator by the GCD.
The GCD of 23 and 50 is 1, as they have no common factors other than 1.
Now, divide both the numerator and the denominator by 1:
23 ÷ 1 = 23
50 ÷ 1 = 50
Thus,
The simplified fraction is 23/50.
Learn more about fractions here:
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Parking at a large university has become a very big problem. University administrators are interested in determining the average parking time (e.g. the time it takes a student to find a parking spot) of its students. An administrator inconspicuously followed 250 students and carefully recorded their parking times. The university is interested in using the information from the sample of 250 students collected to learn information about the entire student parking population. Would this be an application of descriptive or inferential statistics
Answers
Answer:
Inferential statistic
Step-by-step explanation:
The art of making deductions or data driven predictions from statistical data refers to an aspect of statistics called Inferential statistics. Inferential statistics differs from descriptive statistics which is another aspect which focuses on presenting characteristics of data. Here, we make statistical deductions about the entire population from the results obtained about the sample statistic. In the scenario above, the statistic derived from the sample data will be used to make deductions about the general population of students who park in the university. Therefore, from the statistic obstaied from the sample, we infer about the population.
How many solutions?
3(x + 4) = 3x + 12
Answers
Answer:
Step-by-step explanation:
First we must distribute the multiplier 3 over x + 4, obtaining 3x + 12.
We then have 3x + 12 = 3x + 12, or 12 = 12. This is always true; the given equation has an infinite number of solutions.
Kimberly wants to get a backpack that cost $35 it is now on sale for 15% off she has to pay 7.5% sales tax what is the sales price of the backpack
Answers
Answer:
$44.26
Step-by-step explanation:
The computation of the sales price is shown below:
Its cost is $35
There is a sale off i.e. 15% off
And, the sales tax rate is 7.5%
SO, the sale price is
= $35 × 100 ÷ 85 + ($35 × 100 ÷ 85) × 7.5%
= $41.17 + $41.17 × 7.5%
= $41.17 + $3.09
= $44.26
Hence, the sales price is $44.26
What is
2 x 9 x 9 x 9 x 2 x 9
In index notation
Answers
Answer:729 with a power of 36
Step-by-step explanation:index notation is basically a power a power is a number such as 2x9x9x9x2x9=26244 And 729 with a power of 36 is adding 729 ,36 times.or you can just multiply 729 times 36 the easy way. Hope this helped and can I get brainliest plss.
A figure has vertices A = (0, 0), B = (1, 3), C = (0, 4), and D = (-1, 1). Which of the following is the MOST precise classification for figure ABCD?
Answers
Answer:
Parallelogram
Step-by-step explanation:
The sides match up
The most precise classification for figure ABCD will be a parallelogram.
What is the quadrilateral?The definition of a quadrilateral is a planar form with four sides, four vertices, and four angles. Concave and convex are the two primary kinds.
Type of quadrilateral are:
Trapezoid.Rectangle.Parallelogram.Rhombus.Square.Kite.A figure has vertices A = (0, 0), B = (1, 3), C = (0, 4), and D = (-1, 1).
The distance between AB is given as,
AB = √[(1 - 0)² + (3 - 0)²]
AB = √10 units
The distance between AD is given as,
AD = √[(-1 - 0)² + (1 - 0)²]
AD = √2 units
The measure of the adjacent sides is not equal. Then the MOST precise classification for figure ABCD will be a parallelogram.
More about the quadrilateral link is given below.
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mike pays $26 for 10 baseball tickets. if he wants to buy 30 baseball tickets, how much will he pay?
Answers
Will mark brainly
1,2,3,4, and 5 if you can:)
Answers
Answer:
1. A 2. B 3.D 4.C 5. E
Step-by-step explanation:
Can anyone help me with this question please ?
I’ll mark you as a brainliest.
Answers
Answer:
0.5
Step-by-step explanation:
Don't know if i did it right very sorry if wrong make sure to down vote if wrong have good day good luck on test ;)
Select all equations that match the solution for this equation: 5(x - 12) = 20
60 + 20 ÷ 5
1/5(60 + 20)
(16 + 20) • 5
(16 - 12) • 5
1/5(75 - 63
Answers
Answer:
The answer is x=16 so whatever the equations should look like it should be this:
Step-by-step explanation: 5(x-12)=20 5x-60=20 add 60 to 20 and get 5x=80 x=16
please help due pretty soon
Answers
Answer:
A
Step-by-step explanation:
just trust me I know what I'm talking about
on a map 2.5 inch represents 16 miles. if the distance between two cities on the map is 8.75 inches, how far apart are the cities. and pls show work
Answers
Answer:
56 miles
Step-by-step explanation:
8.75 ÷ 2.5
= 3.5
16 × 3.5
= 56
the cities are 56 miles apart
A savings account earns 8% interest each year, compounded quarterly (4 times a year). If a person invests $100 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?
Answers
Answer:
251.817012
Step-by-step explanation:
1. Write out equation to get 100(1.08)^n*4
2. Use 3 for n
3. Simplify to get 100(1.08)^12
4. Solve to get 251.817012
what does BD equal to?
Answers
Answer:
Step-by-step explanation:
[tex]tan\theta =16/20\\ \\ \theta=arctan(4/5)\\ \\ tan(90-\theta )=BD/20\\ \\ BD=20tan(90-\theta )\\ \\ BD=20tan(90-arctan(4/5))\\ \\ BD=20[/tex]
David bought a bicycle for $75.00. If he sold it for 20% of the original price, how
much did he sell it for?
Answers
Answer:
$15
Step-by-step explanation:
75.00(0.20) = $15
Helpppppppppp meeee please
Answers
Answer:
<2 and <8
<3 and <5
Step-by-step explanation:
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
This is my 100th question answered!
What is the slope of the line that passes through the points (6, 4) and (3, 8)?
-4/3
-3/4
3/4
4/3
Answers
(8-4)/(3-6) = 4/-3
The slope is -4/3
-3(6v-3w-5)
HELP!! the subject i am on it really confusing
Answers
Answer: -18v+9w+15
Step-by-step explanation:
1. -3(6v)-3(-3w)-3(-5)
2.-18v+9w+15
Pleasee help me...
Terri has a balance of $795 on his credit card. He is currently making monthly credit card payments of $20 a month. What will happen if he increases the amount he is paying by $18 a month?
A. It will take him less time to repay the loan
B. It will take him longer to repay the loan
C. The interest rate will decrease
D. The interest rate will increase
Answers
Answer:
D is the answer
Step-by-step explanation:
Mark brianliest pls
Somw help please! And can you give me the correct answer ..
Answers
Answer:
X=5Step-by-step explanation:
[tex]12x + 19 + 22x - 9 = 180[/tex]
[tex]12x + 22x = 180 - 19 + 9[/tex]
[tex] \frac{34x}{34} = \frac{170}{34} [/tex]
[tex]x = 5[/tex]
hope it helps....
Laura borrowed $490 at 11% for 6 years. what was the total interest?
Answers
Answer:
$323.4
Step-by-step explanation:
I = Prt
I = (490)(0.11)(6)
I = 323.4
Answer:
$323.40
Step-by-step explanation:
where is the crab located?
Answers
the one wirh my mouse over js 55
Answers
Answer:
55 is the answer
Step-by-step explanation:
180-76-49= 55 !!!!!
Answer:
55°
Step-by-step explanation:
Find the product.
(2x^2 - 4x + 1)(5x-7)
10x^3 - 34x^2 + 33x - 7
7x^3 - 20x^2 + 33x - 7
10x^3 - 6x^2 - 23x - 7
10x^3 + 6x^2 - 20x-7
Answers
10x^3 - 34x^2 + 33x -7
Answer: A. 10x^3 - 34x^2 + 33x - 7
Which is a simplified form of the expression -9(y + 1) + 5y?
Answers
Answer:
Your answer is -4y - 9
Step-by-step explanation:
Simplify the expression.
~Brainiliest please~