Exponent properties help us to simplify the powers of expressions. The quotient of the given expression [tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}[/tex] is (2∛3 - ∛18).
What are the basic exponent properties?[tex]{a^m} \cdot {a^n} = a^{(m+n)}\\\\\dfrac{a^m}{a^n} = a^{(m-n)}\\\\\sqrt[m]{a^n} = a^{\frac{n}{m}}\\\\(a^m)^n = a^{m\times n}\\\\(m\times n)^a = m^a\times n^a\\\\[/tex]
Given to us
[tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}[/tex]
We will solve the problem using the basic exponential properties,
[tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}\\\\ = \dfrac{6}{\sqrt[3]{9}} - \dfrac{3(\sqrt[3]{6})}{\sqrt[3]{9}}\\\\ = (6\cdot 3^{-\frac{2}{3}}) - [3 \cdot (2 \cdot 3)^{-\frac{2}{3}}3^{-\frac{2}{3}}]\\\\= (2 \cdot 3 \cdot 3^{-\frac{2}{3}}) - [3 \cdot 2^{-\frac{2}{3}} \cdot 3^{-\frac{2}{3}}3^{-\frac{2}{3}}]\\\\[/tex]
[tex]= [2 \cdot 3^{(1-\frac{2}{3})}] - [2^{\frac{1}{3}}\cdot 3^{(1+\frac{1}{3} - \frac{2}{3})}]\\\\= [2 \cdot 3^{(\frac{1}{3})}] - [2^{\frac{1}{3}}\cdot 3^{(\frac{2}{3})}]\\\\= 2\sqrt[3]{3} - \sqrt[3]{2}\sqrt[3]{9}\\\\=2\sqrt[3]{3} - \sqrt[3]{18}[/tex]
Hence, the quotient of the given expression [tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}[/tex] is (2∛3 - ∛18).
Learn more about Exponents:
https://brainly.com/question/5497425
Answer:
A
Step-by-step explanation:
ansawer k lol
what is:
2 = -8 + 2u
If possible please answer as soon as possible
a dress store is having a sale where all merch is 1/4 off a women buys 48$ of merch at the sale price. what would she have to pay at the regular price?
Answer:
$64
Step-by-step explanation:
1/4 means 25%
$48 means 75%
$48 divided by 3 equals 16
$48 plus 16 equals $64
One construction company can do certain job in ten days and a second construction company can do the same job in fifteen days. How many will it take to complete the job if the two construction companies work together?
Answer:
technically it should take 12 and a half days
Step-by-step explanation:
that is what is in-between the two amounts of days so it's the average if they bothe worked together but in my opinion in reality I think if they worked together it would take less than 10 days
Answer:
Step-by-step explanation: it will take them 5 days to complete the job
Help me please I’ll give brainly
Subtract 5x^2-8x-1 from
-(5x^2 -x - 8).
Answer:
-10x² - 7x + 7
Step-by-step explanation:
Subtract:
-5x² - 8x - 1 - (5x² - x - 8)-5x² - 5x² - 8x + x - 1 + 8-10x² - 7x + 7Remember: subtracting a negative number is adding that number
-Chetan K
Answer:
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Or if you prefer:
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Step-by-step explanation:
have a good day
Ok i want the answer if someonr knows it please help me
[tex]\huge \text{Hello there! :)}[/tex]
I'm Joyous to help you today!
Answer:
[tex]3h=54[/tex]
Step-by-step explanation:
To get the product between 3 and Han's score (h), we multiply them:
[tex]3~x~h~--> 3h[/tex]
And since we know that this product is equal to 54, we'll have that the equation that corresponds to the situation is:
[tex]3h=54[/tex]
Hope this Helps!
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Gabriel owns a small business selling used books. He knows that in the last week 89 customers paid cash, 20 customers used a debit card, and 30 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Answer:
.22 chance next customer pays with credit card
Step-by-step explanation:
This is because there was in all 139 customers during that week, and 30/ 139 0.21582733812. This rounded to hundredth would be .22
help..............................
Answer:
b,d
Step-by-step explanation:
this looks like a kite
diagonals bisect. so d is true.
ab and dc are parallel
so b is also true
which equation is another way to show 5/4
Answer: 1.25
Step-by-step explanation: 4/4 is 1 and 1/4 is .25 so add it together and you have your answer
Jane has 9 cups of sugar. A batch of cookies uses 1 ¹⁄₂ cups of sugar. How many batches of cookies can Jane make?
Answer:
6 batches
Step-by-step explanation: because 9 divided by 1 1/2 cups of sugar is 6
Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest form. an=-2 an = an-1 -13 an=
From the recursive rule
[tex]a_n = a_{n-1}-13[/tex]
it follows that
[tex]a_{n-1}=a_{n-2}-13 \implies a_n = a_{n-2} - 2\times13[/tex]
[tex]a_{n-2}=a_{n-3}-13 \implies a_n = a_{n-3} - 3\times13[/tex]
and so on. Notice how the subscript on a on the right side and the coefficient multiplied by 13 add up to n (n - 2 + 2 = n; n - 3 + 3 = n; and so on). If we continue the pattern, we'll end up with
[tex]a_n = a_1 + (n-1)\times13[/tex]
so that the explicit rule for the n-th term in the sequence is
[tex]a_n = -2 + 13(n-1) \implies a_n = \boxed{13n-15}[/tex]
What is the domain of the function graphed below?
Answer:
The domain is the set of x values for which the function resides in.
In this graph, it is unclear as to if the function goes on to infinity, but if it does, the answer is quite easily:
(-2, 4] and [7, ∞)
since the function starts on the left at -2 then continues to the right, with a pause, then indefinitely after.
Discussion
1. In the voice of your selected historical figure, make a preliminary argument for
your position.
2. In the voice of your selected historical figure, respond to a point made by
another student.
3. In your own voice, briefly describe something you learned because you had to
imagine yourself in another person's position.
Role plays are a strategy to understand the points of view of other people according to their thinking or the context in which they live.
How to make an argument?An argument is a statement that is characterized by being very well supported by verifiable facts. When we want to defend our position, we must argue it through statements that validate our point of view.
According to the above, if we make a role play selecting to personify a historical character and defend his point of view on a specific topic, we must take into account:
Her/His thoughts and ideologies.Her/His context.These role plays are very important to learn more about the life of a historical figure or other person, because they make us aware of their way of thinking and how they have been influenced by different factors throughout their lives.
Learn more about point of view in: https://brainly.com/question/14834722
Answer:
1. The work place is a place for work, not for drinking and messing around. Please drink all you want on your own time or just accept the punishment.
2. I agree with ___ that alcohol is not tolerable and it isn't good for your work
3. I learned the owners sometimes have to make unpopular decisions for the good of their business and employees.
There are 33
small cubes in the cube below.
Write an expression for the number of small
cubes in the large cube at the right.
Answer:
729 small cubesStep-by-step explanation:
The small cube has side of 3 units and its volume is:
V = s³ = 3³The large cube is 3 times larger on each side, so its volume is:
V = (3*3)³ = 9³ = 729 unit cubesPls help!
A farmer owns a total of 19 ducks and horses.
The ducks and horses have 64 legs altogether.
How many horses are there?
Answer:
6 ducks and 13 horses
Step-by-step explanation:
Let H and D be the numbers of Horses and Ducks, respectively.
We are told that:
H + D = 19
Our biology book confirms that:
1 horse = 4 legs, and
1 duck = 2 legs
[In most cases on Earth]
So we can say that:
4H + 2D = 64 legs
Rewrite
H + D = 19 as: H = 19 - D
and then substitute:
4H +2D = 64 legs
4(19-D) +2D = 64 legs
76 - 4D + 2D = 64 legs
-2D = - 12
D = 6 [We have 6 ducks]
Then:
H + D = 19
H + 6 = 19
H = 13 [There are 13 horses]
=============================
Check:
Do 6 ducks and 13 horses have a total of 64 legs?
6*2 + 4*13 = 64?
12 + 52 = 64?
YES
help with either of these questions pleaseee at least one of them I’m so confused rn I’d really appreciate it and will brainlist you dw
Step-by-step explanation:
a) Fred → 35 years old
James → J years old
(3 × J) - 1 = 35
3J - 1 = 35
b) the number of people (n) Anita can invite depends on her age (A) and you add (+) 2.
therefore, n= A +2
2.a) n represents the no of phones he sells.
so if he charges $10 for a phone, then
n × 10 will represent the amount of money he makes for the no of phones he sells. you are given that P represents the amount of money he makes from selling a phone which is 10N and also his weekly salary, $ 250. this is the amount of money he receives for the whole week.
Hence, 10n + 250 = P
ans: P= 10n + 250
b) the next week he sells 20 phones. he charges $10 per phone. then he will make $200 from selling the phones. but he will also receive his weekly salary, which is $250. total money he receives equals $450.
a better way to reach the answer is using the above equation:
P = 10n + 250, where n= 20
P= (10*20) + 250
P= $450
hope you understand this now,
s.
The parent function, f(x) = 5^x, has been vertically compressed by a factor of one-half, shifted to the left three units and down two unlts.
Choose the correct function to represent the transformation.
Answer: Choice C
[tex]\displaystyle g(x) = \left(\frac{1}{2}\right)5^{x+3}-2[/tex]
=====================================================
Explanation:
The 1/2 out front handles the vertical compression by 1/2. For example, if two points are vertically spaced by 10 units, then their new vertical distance is now (1/2)*10 = 5 units.
The x+3 in the exponent means "shift 3 units to the left". Effectively what's going on is that the old input x is now x+3, ie 3 units larger than before. This shifts the xy axis itself 3 units to the right. If we held the curve fixed in place while the xy axis moved like this, then it gives the illusion the curve is moving 3 units to the left.
Then finally the -2 at the very end shifts the curve down 2 units. This is because whatever the y coordinate is, we subtract 2 from it to do this vertical shifting. For example, the point (0,62.5) shifts 2 units down to (0,60.5)
What is a fraction that is equivalent to 2/5 and the numerator is 18 less than the denominator
Answer:
Let the denominator be x
x-18/x=2/5
5(x-18)=2x
5x-90=2x
3x=90
x=30
The fraction is 12/30
Hope it helps you!
Step-by-step explanation:
If she arrives home without her iClicker device and she is sure she has the iClicker device after leaving the first class, what is the probability (to at least 3 significant figures) that she left it in the 5th class
Answer:
its simple the answer 15
Step-by-step explanation:
multiply 3x5=15 boom
HELPPP
i need answers asappppp
Answer:
The expressions are equivalent
Step-by-step explanation:
We can start by simplifying the first expression:
1.25x+4+0.75x-3
Move like terms so that they are together:
1.25x+0.75x+4-3
Now, combine like terms:
2x+1
The expressions are equivalent
what is his average speed for end the entire trip 280 miles
?
Answer:
20mph
Step-by-step explanation:
because when you divide the 280 it goes by 20 mph to get to 280 miles by quarters but in 20s
Evaluate the function
Answer:
f = 9.25 (I think but maybe I read f(4) wrong)
Step-by-step explanation:
so f(4) means x = 4.
The new equation is
f(4) = 2x4 ^2 - 4 + 9
you first do 2x4^2. The minus 4. The add 9.
the answer to that is 4f = 37
Then solve
F = 9.25
the length of the pool is 5 meters more than it’s width. The area is 24 square root. What is the length of the pool?
What are the terms in the expression 7x + 4y + 12
Answer:
The terms in the expression are 7x, 4y, and 12.
Step-by-step explanation:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.
Answer:
7x, 4y, and 12
Step-by-step explanation:
First answer gets brainliest. And one hundo points
Answer:
option C.
Step-by-step explanation:
option C is the correct answer.
Direct variation: y = kx .........where k is constant.
10 = k * -5
k = -2
Then check if all are linear and matches.
y = -2 * -4
y = 8 ...matches.
then
y = -2 * -3
y = 6 ........matches
then
y = -2 * -2
y = 4 ........matches
then
y = -2*-1
y = 2 ......matches as well. so direct variation.
Which value of x makes the equation x plus 3 equals 8 true?
Answer: x = 5
Step-by-step explanation:
Replace x with 5: 5+3=8
This is true!
Mrs. Jackson’s class has 18 boys and 12 girls. 30% of her students take the bus to and from school? How many of her students do NOT take the bus?
Put the following equation of a line into slope-intercept form, simplifying all fractions.
8x+6y=
8x+6y=
\,\,18
18
Answer:
do u have a full screenshot of it???
Step-by-step explanation:
i will mark brainliest
Answer:
The fraction is the area of the cross section and multipling by the height to get the volume= 17/2=8.5 unite cube
Formula for volume is length × width× height
Length ×width is the area, and the area is given so you just times that to the height
Zayden walkes 3/4 miles in 1/5 hour. what is his speed in miles per hours
Answer:
Step-by-step explanation: