Which expression is equivalent to...? Screenshots attached. Please help! Thank you.
Answers
Answer:
[tex]4x^{3} y^{2} (\sqrt[3]{4 x y})[/tex]
Step-by-step explanation:
Another complex expression, let's simplify it step by step...
We'll start by re-writing 256 as 4^4
[tex]\sqrt[3]{256 x^{10} y^{7} } = \sqrt[3]{4^{4} x^{10} y^{7} }[/tex]
Then we'll extract the 4 from the cubic root. We will then subtract 3 from the exponent (4) to get to a simple 4 inside, and a 4 outside.
[tex]\sqrt[3]{4^{4} x^{10} y^{7} } = 4 \sqrt[3]{4 x^{10} y^{7} }[/tex]
Now, we have x^10, so if we divide the exponent by the root factor, we get 10/3 = 3 1/3, which means we will extract x^9 that will become x^3 outside and x will remain inside.
[tex]4 \sqrt[3]{4 x^{10} y^{7} } = 4x^{3} \sqrt[3]{4 x y^{7} }[/tex]
For the y's we have y^7 inside the cubic root, that means the true exponent is y^(7/3)... so we can extract y^2 and 1 y will remain inside.
[tex]4x^{3} \sqrt[3]{4 x y^{7} } = 4x^{3} y^{2} \sqrt[3]{4 x y}[/tex]
The answer is then:
[tex]4x^{3} y^{2} \sqrt[3]{4 x y} = 4x^{3} y^{2} (\sqrt[3]{4 x y})[/tex]
Related Questions
whats the distance between point A (-2,-1) and point B (3,2)
A. √34
B. √8
C. 4
D. 5
Answers
Answer:
d = √34
Step-by-step explanation:
(-2, -1) & (3, 2)
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(3 + 2)² + (2 + 1)²]
d = √[(5)² + (3)²]
d = √(25 + 9)
d = √34
Answer: A. √34
Step-by-step explanation:
I had the same problem
Solve for B. B x 2 = 36
Answers
The answer is 18 . Because 36 divided by 2 is 18
Answer: The answer is 18.
Step-by-step explanation: I know this because 18 is half of 36 and if you add 18 + 18 it will be the same as 18 x 2.
I hope this helps! :}
how many time can 7 go into 60
Answers
Answer:
8 times? I'm not sure its actually 8 times with remainder of 4
Step-by-step explanation:
8 x 7 = 56
[tex]60 \div 7 = 8.57[/tex]
Georgia is a farmer and wants to plant a crop of tomato plants so she can sell her crop at the local farmer's market. She already has a large number of plants cultivated from last year's harvest. Each should produce an average of 35 tomatoes per plant during the growing season. She has found a nursery to buy more tomato plants at which are a different type. She found that these tomato plants will cost $5.25 each and should produce 25 tomatoes per plant on average over the course of the growing season. When planting, she wants to arrange the plants so that there are 5 fewer plants in each column than there are in each row. Georgia can spend no more than $500 on the tomato plants. In order to meet customer demands, she needs to produce at least 5,000 tomatoes during the growing season. Let x represent the number of plants in a row, and let y represent the number of plants that Georgia already has. Create a system of inequalities to find the number of plants in a row and the number of plants Georgia already has, and use it to determine how many of the solutions are viable.
Answers
Answer:
D None of the solution region is viable because there cannot be a negative number of tomato plants in a row and she can not have a negative number of tomato plants already on hand.
Step-by-step explanation:
I got this of an other page through my searching, and it won the brainliest so it must be correct, there can be considered an answer of no solution region as an answer but this what I think is false so as I said,
None of the solution region is viable because there cannot be a negative number of tomato plants in a row and she can not have a negative number of tomato plants already on hand.
is the answer
Answer:
its the one that says only some are viable because some are negative i took it on PLATO and that was the answer :)) i hope this helps
Step-by-step explanation:
If
= =, then xis
can you plz help me fast
Answers
Answer:
x=8
Step-by-step explanation:
9 3
---- = -----
24 x
Using cross products
9 * x = 3 * 24
Divide each side by 9
9x/9 = 3*24/9
x = 3/9 * 24
x = 1/3 *24
x = 8
The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠L? Describe the relationship between ∠F and ∠L. (1 point)
Answers
Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle-degree. Hope this helps <3
Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.
What are alternate interior angles?Alternate interior angles are formed when a transversal passes through two lines.
The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.
In the figure,we can see that ∠F and ∠L are alternate interior angles.
So the angles are ∠F=∠L=67.5
Hence Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.
To know more about alternate interior angles follow
https://brainly.com/question/24839702
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Which measure of center would be best to compare the data sets?
Answers
Answer:
Choosing the "best" measure of center. Mean and median both try to measure the "central tendency" in a data set. The goal of each is to get an idea of a "typical" value in the data set. The mean is commonly used, but sometimes the median is preferred.
Step-by-step explanation:
Final answer:
To compare data sets, one must consider whether to use the mean or the median. The mean is suitable for symmetric, outlier-free distributions, while the median is better for skewed data or data with outliers.
Explanation:
Comparing Data Sets Using Measures of Center
When comparing data sets to understand the center, it's crucial to choose the most appropriate measure of center. The mean and the median are the two most common measures. The mean, which is the sum of all values divided by the number of values, is a great indicator of the center for symmetric distributions without outliers. In contrast, the median, which is the middle value in an ordered list, is robust to outliers and is better for skewed distributions.
To determine which measure to use, consider whether the data contain outliers or extreme values that could heavily influence the mean. If so, the median would be a better representation of the center. Moreover, the shape of the data set (symmetrical vs. skewed) and the presence of outliers or extreme values are crucial considerations. The median appears more suitable for skewed data sets, while the mean could be a more accurate measure for symmetric, outlier-free data.
Help in this better study state test
Brainlist+points
Please explain:’|!
Answers
Answer:
D.51,00
Step-by-step explanation:
To turn percentages to decimals you divide by 100. 80/100=.8. Now multiply this by how many people attended the game. .8 x 64,000= 51,200
23 1/8 as an improper fraction
Answers
Answer:
185/8
Step-by-step explanation:
23 1/8
23*8=184+1=185
over 8
Start by multiplying 23 and 8. This gives 184.
Next, add 184 and 1. 185
Lastly, put 185 over the denominator
The answer is: 185/8
Please answer ASAP! 100 points!
Simplify the expression: (2x-3y)^2/(3y-2x)^2
Answers
Answer:
[tex]\large\boxed{\dfrac{(2x-3y)^2}{(3y-2x)^2}=1}[/tex]
Step-by-step explanation:
[tex]\dfrac{(2x-3y)^2}{(3y-2x)^2}=\dfrac{(2x-3y)^2}{\left(-1(2x-3y)\right)^2}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\dfrac{(2x-3y)^2}{(-1)^2(2x-3y)^2}=\dfrac{(2x-3y)^2}{1(2x-3y)^2}=\dfrac{(2x-3y)^2}{(2x-3y)^2}=1[/tex]
write each decimal as a fraction in simplest form 0.5
Answers
Answer:
1/2
Step-by-step explanation:
0.5 is half and can be represented many ways such as 4/8, 6/12, 50/100 etc. But the simplest form is 1/2.
What is the value of x?
Answers
i believe 68 is the answer.
68! Is the correct answer
i need help asap! please
Answers
Answer:
11.25
Step-by-step explanation:
The slope is [tex]\frac{3}{4}[/tex]
Using this we can find Δx and Δy.
The slope is Δy/Δx
And Δx is 15 since the number of units from 12 to 27 is 15.
So Δy/15 = [tex]\frac{3}{4}[/tex]
Multiply so they have common denominators.
4Δy/60 = [tex]\frac{45}{60}[/tex]
Multiply each side by 60 and solve.
4Δy = 45
Δy = 11.25
So the length of x is 11.25
Calculate the unit rate for each item. Round to the nearest cent
A box of 4 light bulbs costs $3.79
A bag of 5 oranges costs $2.19.
A package of 12 bars of soap costs $5.25
Answers
Answer:
Box=0.95
Orange bag=0.44
Package=0.44
Step-by-step explanation:
Divide the cost by the amount of whatever. For ex. The 3.79/4 because there are 4 boxes.
Final answer:
The unit rate for a box of 4 light bulbs is $0.95 per bulb, for a bag of 5 oranges it's $0.44 per orange, and for a package of 12 bars of soap, the unit rate is $0.44 per bar.
Explanation:
To calculate the unit rate for each item, you divide the total cost by the number of items in the package. This tells you the cost per single item. Let's calculate the unit rates, rounding to the nearest cent.
A box of 4 light bulbs costs $3.79. Unit rate: $3.79 ÷ 4 = $0.95 per light bulb.A bag of 5 oranges costs $2.19. Unit rate: $2.19 ÷ 5 = $0.44 per orange.A package of 12 bars of soap costs $5.25. Unit rate: $5.25 ÷ 12 = $0.44 per bar of soap.Remember, when working with prices, it's standard practice to round to the nearest cent, which represents the smallest unit of currency used in transactions.
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets cost $15. For one performance, there were 60
tickets sold in all, and the total amount paid for them was $1300. How many tickets of each type were sold?
Answers
Answer:
26 of each
Step-by-step explanation:
To solve write this as an equation (35x)+(15x)=1300
For this case we have:
x: Variable representing the types of advance input
y: Variable representing the same-day entry types
We have according to the cost:
[tex]35x + 15y=1300[/tex]
According to the number of tickets:
[tex]x + y = 60[/tex]
We have a system of two equations with two unknowns:
[tex]35x + 15y = 1300\\x + y = 60[/tex]
We multiply the second equation by -35:
[tex]35x + 15y = 1300\\-35x-35y = -2100[/tex]
We add:
[tex]-20y = -800\\y = \frac {800} {20}\\y = 40.[/tex]
Thus, 40 same-day tickets were sold.
[tex]x + 40 = 60\\x = 60-40\\x = 20[/tex]
20 advance tickets were sold
Answer:
20 advance
40 same-day
I don’t understand how I’m supposed to do this problem!
Answers
Answer:
$36.75
Step-by-step explanation:
We can determine that 7% is also 0.07 (if we convert a percent to a decimal).
We can find the sales tax for the pool by multiplying the sale price and the sales tax rate.
[tex]525*0.07=36.75[/tex]
So the sales tax is $36.75
I need help with this one please..
Answers
I think it's 60 I'm NOT sure. I just multiplied those three numbers
14 is 70% of what number? Enter your answer in the box.
Answers
Answer:
20
Step-by-step explanation:
We have, 70% × x = 14
or,
70 /100 × x = 14
Multiplying both sides by 100 and dividing both sides by 70,
we have x = 14 × 100 /70
x = 20
If you are using a calculator, simply enter 14×100÷70, which will give you the answer.
Answer:
Step-by-step explanation:
the answer is 20
If events A and B are INDEPENDENT, then
A) A and B must occur together.
B) A and B cannot occur together.
C) A and B must occur simultaneously
D) A's occurrence cannot affect the probability of B's occurrence.
Answers
Answer:
They can't occur together because independent means by itself.
Step-by-step explanation:
The correct answer is D) A's occurrence cannot affect the probability of B's occurrence. This reflects the defining characteristic of independent events in probability, where the occurrence of one event does not influence the likelihood of another.
If events A and B are independent, then this means that the occurrence of event A does not affect the probability of event B occurring, and vice versa. This is a fundamental concept in the study of probability which distinguishes independent events from dependent or mutually exclusive events.
Among the options provided, the correct choice is D) A's occurrence cannot affect the probability of B's occurrence. Independent events have no influence on each other, meaning that if you know event A has happened, this knowledge does not change the likelihood of event B happening, and conditional probability does not apply here.
On the other hand, mutually exclusive events cannot occur together. If A and B were mutually exclusive, then the probability of both A and B occurring at the same time would be zero. This is not the case with independent events, where the probability of A and B occurring is simply the product of their individual probabilities if the events are occurring simultaneously.
Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.
a. 20-100
b. 20-40
Answers
Answer:
See below.
Step-by-step explanation:
a. A person with 20-100 vision can see from a distance of 20 feet what a person with 20-20 vision can see from 100 feet.
b. If you have 20-40 vision you can see from 20 feet what a person with 20-20 vision can see from 40 feet.
Answer:
The explanations are provided below:
Step-by-step explanation:
a. A person with 20-100 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 100 feet. This simply means that the person can see about 100 feet what a normal sighted person can.
b. A person with 20-40 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 40 feet.
This is the same as explanation (a).The person can see from a distance of 40 feet what a normal person can see.
What is the probability that a customer ordered a large given that he or she ordered a hot drink?
Answers
Answer: 29%
Step-by-step explanation:
A total of 75 people ordered a hot drink. 22 of them ordered a large.
22/75 = 29 (to the nearest percent)
Write 91.5% as a decimal
Answers
Answer:
0.915
Step-by-step explanation:
move the decimal two to the left and take a the percentage
Answer:
The answer is .915
Step-by-step explanation:
91.5/100 = .915
When baking a cake, you have a choice of the following pans:
*a round cake pan that is 2 inches deep and has a 7 inch diameter.
*a 6 inch x 9 inch rectangular cake pan that is 2 inches deep.
Which of these pans has the larger volume? Justify your answer
PLEASE ANSWER ASAP TODAY!!!
Answers
Answer:
It is 6x9
Step-by-step explanation:
Simple match 9x6 54 and 7x2 14 well I would rather have 54 units of cake that 14 Lol
Answer:
The rectangular cake pan has greater volume compared to the round cake pan.
Explanation:
If baking this cake, I would use a rectangular cake pan because it's volume is a total of 108 square inches. The round cake pan, on the other hand, has the total volume of 76.97 square inches. In conclusion, the rectangular cake pan has greater volume compared to the round cake pan.
Note:
Hope this helps! Have a wonderful rest of your day!
-kiniwih426
PLEASE HELP ME ASAP !!!!
Answers
Answer:
The correct answer is third option
The sum of any number and its opposite is 0
Step-by-step explanation:
It is given an expression,
8.29 * (-5.62 + 5.62)/5.62
To find the correct reason
Here - 5.62 + 5.62 = 0
5.62 is opposite to - 5.62
because sum of a number and its opposite is 0.
Therefore the correct answer is third option.
The sum of any number and its opposite is 0
Answer:
The sum of any number and it's opposite is 0.
Step-by-step explanation:
Given expression is [tex]8.29\cdot\frac{-5.62+5.62}{5.62}[/tex]
Now we need to find the reason about why the given expression equals to 0.
If you look at the numerator carefully then you will find that numerator contains two terms -5.62 and +5.62 which are exactly same and opposite in sign. So they will cancel each other and give result 0.
After that we get only multiplication and division operation and we know that multiplication by 0 gives 0. that's why the final answer is 0.
So the correct choice is "The sum of any number and it's opposite is 0."
Please help and thank you
Answers
Answer: the answer is c
Step-by-step explanation: the first line is the min and the next is q1 and then the medium and q3 max
6. Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.
a. After four weeks, who has more money in the
who has more money in their savings account? Explain how you know.
b. after how many weeks will Andre and Elena have the same amount of money in their savings
accounts?
Answers
Andre saves more money than Elena after four weeks and after 6 weeks the savings of Andre and Elena is the same and this can be determined by forming the linear equation.
Given :
Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week.Elena starts with $10 in her savings account and adds $20 each week.Let w represents the total number of weeks. So, the linear equation that represents the situatuion "Andre starts with $100 in his savings account and adds $5 per week" is:
S = 5w + 100
The linear equation that represents the situatuion "Elena starts with $10 in her savings account and adds $20 each week" is:
S' = 20w + 10
a) After four weeks the savings of Andre is given by:
S = 5(4) + 100
S = 20 + 100
S = $120
After four weeks the savings of Elena is given by:
S' = 20(4) + 10
S' = 80 + 10
S' = $90
So, Andre saves more money than Elena after four weeks.
b) Now, the number of weeks after which the savings of Andre and Elena are the same is:
5w + 100 = 20w + 10
Simplify the above equation in order to determine the value of 'w'.
90 = 15w
w = 6
So, after 6 weeks the savings of Andre and Elena is the same.
For more information, refer to the link given below:
https://brainly.com/question/21835898
48 divided by four fifths
Answers
Answer:
The answer is 60.
Step-by-step explanation:
[tex]\frac{48}{1}[/tex]÷[tex]\frac{4}{5}[/tex]
Now, apply the fraction rule(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}):
[tex]\frac{48}{1}[/tex]×[tex]\frac{5}{4}[/tex]
Cross-cancel(common factor of 4):
[tex]\frac{12}{1}[/tex]×[tex]\frac{5}{1}[/tex]
Multiply:
[tex]\frac{12 x 5}{1 x 1}[/tex]
Simplify:
12 x 5=60
The answer is 60
hope this helps :)
Which set of coordinates does not represent a function?
Answers
Answer:
C
Step-by-step explanation:
There are two outcomes for the input of 1 in the value of x, which violates the standards of a function
For the single value of x, the value of y will be single. Then option C does not represent a function.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function
We know that the value of x must be different.
For the single value of x, the value of y will be single.
Then option C does not represent a function.
More about the function link is given below.
https://brainly.com/question/5245372
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What is the vertical shift of the graph of the parent cosecant function to the graph of the function below?
A. 1 unit down
B. 2 units down
C. 3 units down
D. 4 units down
Answers
Answer:
Option: C is the correct answer.
C. 3 units down.
Step-by-step explanation:
We know that the graph of a cosecant function has a minimum value for a upward open curve as : 1
It could be seen from the graph.
But here the minimum value of the upward open curve in the transformed function is: -2
This means that the vertical shift is given by:
-2-1=-3
This means that there is a vertical shift of 3 units down in the parent function.
Answer:
3 units down
Step-by-step explanation:
(80 points)
Please help! Show all of your work for your answers as well.
Answers
Answer:
[tex]\large\boxed{Q1.\ A=\dfrac{5}{6}x^2}\\\boxed{Q2.\ 250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}}\\\boxed{Q3.\ \dfrac{81x^{16}y^{36}}{16z^{28}}}\\\boxed{Q5.\ y^\frac{1}{2}=\sqrt{y}}[/tex]
Step-by-step explanation:
[tex]Q1.\\\\\text{The formula of an area of a triangle:}\\\\A_\triangle=\dfrac{bh}{2}\\\\b-\ \text{base}\\h-\text{height}\\\\\text{We have}\ b=\dfrac{5}{3}x,\ h=x.\ \text{Substitute:}\\\\A_\triangle=\dfrac{\left(\frac{5}{3}x\right)(x)}{2}=\dfrac{5x^2}{(3)(2)}=\dfrac{5}{6}x^2[/tex]
[tex]Q2.\\\\2(5m^4n^{-1})^3\qquad\text{use}\ (ab)^n=a^nb^n\\\\=2(5^3)(m^4)^3(n^{-1})^3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=(2)(125)(m^{4\cdot3})(n^{-1\cdot3})\\\\=250m^{12}n^{-3}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{250m^{12}}{n^3}[/tex]
[tex]Q3.\\\\\left(-\dfrac{3x^4y^9}{2z^7}\right)^4\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{3^4(x^4)^4(y^9)^4}{2^4(z^7)^4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\dfrac{81x^{4\cdot4}y^{9\cdot4}}{16z^{7\cdot4}}=\dfrac{81x^{16}y^{36}}{16z^{28}}[/tex]
[tex]Q4.\\\\\left(x^0y^{\frac{1}{3}\right)^\frac{3}{2}\cdot x^0\qquad\text{use}\ a^0=1\ \text{for any value of}\ a\ \text{except}\ 0\\\\=\left(1\cdot y^\frac{1}{3}\right)^\frac{3}{2}\cdot1\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=y^{\left(\frac{1}{3}\right)\left(\frac{3}{2}\right)}\qquad\text{cancel 3}\\\\=y^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\=\sqrt{y}[/tex]