Answer:
a^-27
Step-by-step explanation:
(a^3)^-3)^3)
(a^-9)^3)
a^-27
When we represent the expression ((a³)⁻³)³ as a power of a, the result obtained is a⁻²⁷
How to represent the expression as a power of a?The following data were obtained from the question:
Expression: ((a³)⁻³)³Representation as power of a =?We can represent the expression ((a³)⁻³)³ as a power of a by using the power law of indices as illustrated below:
((a³)⁻³)³
Recall
(Bᵐ)ⁿ = Bᵐⁿ (i.e multiply the power)
Thus,
((a³)⁻³)³ = (a⁻⁹)³
= a⁻²⁷
Thus, we can conclude from the above calculation that the representation of the expression ((a³)⁻³)³ as a power of a is a⁻²⁷
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i have 72 non fiction books and 328 fiction books for sale. What percent is non fiction books?
Answer:
18%
Step-by-step explanation:
First find the total. 72+328=400
Next do 72/400=0.18
Convert to percent by multiplying by 100
18%
A rectangular swimming pool measures 40 ft by 60 ft and is surrounded by a path of uniform width around the four edges. The perimeter of the rectangle formed by the pool and the surrounding path is 248 ft. Determine the width of the path.
Answer:
6ft
Step-by-step explanation:
Lets x = the width of the path the surrounding path will add 2x to the pool dimension,therefore over all dimesion: (2x+40) by (2x+60) the overall perimeter (2x + 40) + 2(2x+60) = 248 Simplify divide by 2, result (2x+40) +(2x+60) = 124
Combine like terms 2x + 2x +40 +60 =124
4x + 100 = 124
4x=124 = 100
4x=24
x=24/4
x= 6ft is the width of the path
check this by finding the perimeter with these values; 2x = 12 ft
2 ( 12 + 40 ) + 2( 12 +60 )
2( 52 + 2(72)
104 + 144 = 248; confirms our solution of x= 6 ft
Pls help me with this question
Answer:
[tex]y = 2000(1.05)^{36[/tex]
Step-by-step explanation:
Given
[tex]a = 2000[/tex] -- Initial population
[tex]r = 5\%[/tex] --- Rate (monthly)
Required
Determine the population in 3 years
The question shows an exponential distribution and the final population will be calculated using:
[tex]y = a(1 + r)^x[/tex]
Where x is the number of months.
[tex]x = 3\ years[/tex]
[tex]x = 3* 12\ months[/tex]
[tex]x = 36[/tex]
So, we have:
[tex]y = 2000(1 + 5\%)^{36[/tex]
Convert % to decimal
[tex]y = 2000(1 + 0.05)^{36[/tex]
[tex]y = 2000(1.05)^{36[/tex]
(c) is correct
Pls help I’ll give you branliestttttt
Which is larger:
A. the absolute value of 12
B. the absolute value of -15
Answer:
A
Step-by-step explanation:
I am pretty sure this is right and I hope this helps
Answer:
B. the absolute value of -15
Step-by-step explanation:
Ok so,
lets rewrite them for it to make sense
| 12 | = 12
| - 15 | = 15
so now the question is "which is larger 12 or 15?" and the answer is 15 obvs lol
" | " = means absolute value
hope this helps have a good day!
17/2 is bigger than what?
Answer:
7/2= 8.5 so it can be bigger then 1/2 or anything under 8.5
Step-by-step explanation:
1) Dan ate 1/12 of a pumpkin, while Sandy ate 1/2 of a pumpkin. In total, how much pumpkin did these two eat?
Answer:
1 pumpkin
Step-by-step explanation:
1/2 + 1/2 is 1. They ate 1 pumpkin in total.
Suppose your friends have the following ice cream preferences: 31% of your friends like chocolate (C). The remaining do not like chocolate. 15% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 5% of your friends like Chocolate (C) and also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate
Answer:
0.3333 = 33.33% of this group likes chocolate
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Of the friends who like sprinkles, what proportion of this group likes chocolate:
So,
Event A: Likes sprinkles
Event B: Likes chocolate
15% of your friends like sprinkles (S) topping.
This means that [tex]P(A) = 0.15[/tex]
5% of your friends like Chocolate (C) and also like sprinkles (S).
This means that [tex]P(A \cap B) = 0.05[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.15} = 0.3333[/tex]
0.3333 = 33.33% of this group likes chocolate
Find the equation of a line perpendicular to -3x + 5y = -1 that contains the point (0, -5)
Answer:
y = -5/3x - 5
Step-by-step explanation:
convert -3x + 5y = -1 to slope-intercept form:
5y = 3x - 1
y = 3/5x - 1/5
slope of a line perpendicular to the above equation would be -5/3
y = mx + b
-5 = -5/3(0) + b
b = -5
y = -5/3x - 5
help of you can.
An equation is shown below:
4x + 2(x − 3) = 4x + 2x − 11
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)
Answer:
Part A: No Solution
Part B: Distributive Property
Step-by-step explanation:
4x + 2x - 6 = 6x - 11
6x - 6 = 6x - 11
-6 ≠ -11
No Solution
Answer:
Part A. Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
Part B. Distributive Property
Step-by-step explanation:
Simplifying
4x + 2(x + -3) = 4x + 2x + -11
Reorder the terms:
4x + 2(-3 + x) = 4x + 2x + -11
4x + (-3 * 2 + x * 2) = 4x + 2x + -11
4x + (-6 + 2x) = 4x + 2x + -11
Reorder the terms:
-6 + 4x + 2x = 4x + 2x + -11
Combine like terms: 4x + 2x = 6x
-6 + 6x = 4x + 2x + -11
Reorder the terms:
-6 + 6x = -11 + 4x + 2x
Combine like terms: 4x + 2x = 6x
-6 + 6x = -11 + 6x
Add '-6x' to each side of the equation.
-6 + 6x + -6x = -11 + 6x + -6x
Combine like terms: 6x + -6x = 0
-6 + 0 = -11 + 6x + -6x
-6 = -11 + 6x + -6x
Combine like terms: 6x + -6x = 0
-6 = -11 + 0
-6 = -11
Solving
-6 = -11
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
Plz guys help me plz
Answer:
The answer is A!
Step-by-step explanation:
Its correct, I took the quiz :)
11z > -33 help please
Hans purchased 29.4 centimeters of wire for 14.70$. Find the unit price in dollars per centimeter
Answer:
$0.50/cm
Step-by-step explanation:
HELP! Brainliest to first correct answer with work shown!
Answer:
Step-by-step explanation:
A. f(8) = 11
B. f(x) = 7, so x = 3
please answer this quick. will give brainliest
Answer:
the time Ari spent to walk is
[tex]1 \frac{3}{4} \div 1 \frac{1}{4} = 1.4(h)[/tex]
the time Beth spent to walk is
[tex]1 \frac{1}{2} \div 1 \frac{1}{8} = 1.(3)(h)[/tex]
the time Cathy spent to walk is 1h21' = 1.35(h)
so the time Ari spent > Cathy > Beth
=> list: Beth, Cathy, Ari
help me pls and be serious or I’ll hurt u
Answer:
-9
Step-by-step explanation:
Khan Academy huh? Well, the answer's -9.
-7 = -9 + 2
Hope that helps!
Beth’s brother is 140% of Beth’s height. If Beth’s brother measures 140cm, how tall is Beth?
Answer:
100 cm
Step-by-step explanation:
let x be the height of Beth
and y be the height of Beth's Brother
By 1st Condition
y = 140% * x
y = (140/100) * x
y = 1.4 x ..........................(Eq 1)
By 2nd Condition
y = 140
Put the value of y in the equation 1
140 = 1.4 *x
x = 140 / 1.4
x = 100 cm
Is collecting Taxes a
Delegated power
Reserved power
Concurrent power
Answer: C.concurrent power
Step-by-step explanation: Such powers are called concurrent powers. These include the power to tax, spend, and borrow money. State governments operate their own judicial systems, charter corporations, provide public education, and regulate property rights.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
First option
Step-by-step explanation:
Biotechnology contains genetic manipulation and agricultural purposes, so growing crops in areas they usually do not grow would be a positive use of biotechnology.
I hope you get the problem right.
Express using algebra A increased by 50% and then decreased by 50% of that
Answer:
.5(1.5A)
Step-by-step explanation:
Increasing by 50% is the same as multiplying by 1.5. Decreasing by 50% is the same as multiplying by .5. Multiply by 1.5 first then surround with parentheses and multiply by .5.
Answer:
.5(1.5A)
Step-by-step explanation:
Increasing by 50% is the same as multiplying by 1.5. Decreasing by 50% is the same as multiplying by .5. Multiply by 1.5 first then surround with parentheses and multiply by .5.
Andrew wants to buy new shirts for his job.
Andrew wants to buy at least 5 new shirts to wear to his new job.
Short sleeve shirts cost $14 each and long sleeve shirts cost $18 each.
Andrew wants to spend no more than $100.
Which system of inequalities can be used to find how many short sleeve shirts, x, and how many long sleeve shirts, y, he can buy?
Answer:
my anm,e is andrew and i dont have a job :/
Step-by-step explanation:
Answer:
x + y ≤ 5
14x + 18y ≥ 100
Step-by-step explanation:
just trust me
never trust strangers
Find the Area of the triangle
6.3 yd
3.4 yd
jfdxaMXDCJINCIZSCKZDXVSJOISACXKISZPIAnhCPKISZJCPKNSPKCN KPZSA
Answer:
Jassjsjdhjajjjjajajajajjjajajajajajqjqjjqjsjsjajajajajjajajaja
Evaluate each expression using the value w=4, a=2, and h=5
Equation is:
6w+2a
Answer:
6w + 2a = 28
Step-by-step explanation:
the expression given, 6w + 2a, contains no variable h, so it's best to just ignore that h = 5.
first, plug in the values for w and a. you can do this in whatever order you want, but i'll start with w for this example.
plug in 4 for w.
6w + 2a
6(4) + 2a
now plug in 2 for a.
6(4) + 2a
6(4) + 2(2)
after plugging in the values, your expression is 6(4) + 2(2).
all that's left is to simplify. again, this can be done in whatever order you prefer, but i'm going to start with 6(4).
6(4) + 2(2)
24 + 2(2)
continue simplifying by multiplying 2(2).
24 + 2(2)
24 + 4
now add 24 + 4.
24 + 4 = 28
so, when w = 4 and a = 2, 6w + 2a = 28.
you can check the answer by plugging those values for a and w back into the completed equation.
6w + 2a = 28
6(4) + 2(2) = 28
24 + 4 = 28
28 = 28
since both sides of the equation are equal, that means that your answer of 28 is correct! :)
i hope this helps! have a great day <3
Alexandra missed 52 questions on her multiple choice science final and earned a
grade of 74%. How many total questions were on the final exam?
Answer:
Step-by-step explanation:
100-74-26
26%->52
100%->52÷26×100
= 200
round up 6,614,980 to hundreds
well just look at the tens digit and see if it is bigger or smaller than 5, in this case 8>5
so the answer is 6,615,000, it is 000 because 9+1 became a 10
13.1 divided by 1.6, answer quickly.
Answer:
8.1875
Step-by-step explanation:
WHICH SERIES OF TRANSFORMATIONS CAN BE USED TO SHOW THAT ABC~DEF?
Answer:
A) is correct
Step-by-step explanation:
Solve for the indicated variable
for x: d=ax+bx
Answer:
d/ ( a+b) = x
Step-by-step explanation:
d=ax+bx
Factor out x
d = x( a+b)
Divide each side by (a+b)
d/ ( a+b) = x (a+b)/ (a+b)
d/ ( a+b) = x
How many times greater is the area of Circle 1 than the area of Circle 2?If circle ones radius is 9 and circle twos radius is 3
It is 9 fr 100% pls trust me
The area of the circle {1} is 9 times greater than circle {2}.
What is Area?
Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is to find how many times greater is the area of circle 1 than the area of circle 2 if circle ones radius is 9 and circle twos radius is 3.
We can write the areas of both the circles as -
A{Ο} = πR²
A{Ο1} = π x 9 x 9
A{Ο2} = π x 3 x 3
We can write -
A{Ο1} / A{Ο2} = {π x 9 x 9} / {π x 3 x 3}
A{Ο1} / A{Ο2} = 9
A{Ο1} = 9A{Ο2}
Therefore, the area of the circle {1} is 9 times greater than circle {2}.
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