Answers
Answer:
[tex](8x^6) * (xy^2)^3 = 8x^9y^6[/tex]
[tex](2x^3y^2)^3 = 8x^9y^6[/tex]
Step-by-step explanation:
Given
[tex]8x^9y^6[/tex]
Required
Select 2 equivalent expressions
The equivalent expressions are (a) and (c) and the proof is as follows
(a)
[tex](8x^6) * (xy^2)^3[/tex]
Open brackets
[tex](8x^6) * (xy^2)^3 = 8x^6 * x^{1*3}y^{2*3}[/tex]
[tex](8x^6) * (xy^2)^3 = 8x^6 * x^3y^6[/tex]
Apply law of indices
[tex](8x^6) * (xy^2)^3 = 8x^{6+3}y^6[/tex]
[tex](8x^6) * (xy^2)^3 = 8x^9y^6[/tex]
(c)
[tex](2x^3y^2)^3[/tex]
Open brackets
[tex](2x^3y^2)^3 = 2^3x^{3*3}y^{2*3}[/tex]
[tex](2x^3y^2)^3 = 8x^9y^6[/tex]
Related Questions
Find The Value of X in the picture I showed.
Answers
Answer:
x = 4
Step-by-step explanation:
You can do this by realizing that since JG is the diameter then 6 + 11x + 22x - 1 must equal 180 minus 43 because that is the measure of HG. So then just set it up like an algebra equation.
137 = 6 + 11x + 22x - 1
137 = 33x + 5
132 = 33x
x = 4
Find the mode(s), if any, of the following numbers: 22, 54, 22, 36, 17, 22, 17, 18
Answers
Solve the inequality:
8+4x≥12
Select one:
x≤1
x≥5
x≥1
x≤5
Answers
Answer:
x≥1
Step-by-step explanation:
A semicircle with diameter 3.5m. Find the perimeter if the semicircle. Take pi = 3.14
Answers
Step-by-step explanation:
perimeter is (pi×diameter)/2
perimeter =(3.14×3.5)/2
perimeter =5.49m
What is the slope of JK? J=(2, 4), K(6, 1), L(2, -2), M(-2, 1)
Answers
Answer:
-3/4
Step-by-step explanation:
First, we find the change in x & change in y.
Change in x: 6 - 2 = 4
Change in y: 1 - 4 = -3
Since slope is rise (change in y) over run (change in x),
-3/4 is the slope.
HELP !!!!!!! PLEAZEEEEE
Answers
Answer:
x = 30 y = 70 z = 80
Step-by-step explanation:
Three friends go to book fair Alan spends $2.60 Maria spend three times as much as Allen Aiko spends $3.95 less than Maria how much does Aiko spend
Answers
Answer:
Aiko spends $3.85
Step-by-step explanation:
2.60 times 3 - 3.95 = 3.85
Answer:
3.85
Step-by-step explanation:
2.60x3=7.80 7.80-3.95=3.85
Can someone help me with I’m lost
Answers
1. 2x - 0 = 8
2x = 8
x = 4
2. 2x - -8 = 8
2x + 8 = 8
2x = 0
x = 0
3. 2(5) - y = 8
10 - y = 8
- y = -2
y = 2
4. 2(-3) - y = 8
-6 - y = 8
- y = 14
y = -14
Liz has added 20% of the total amount of acid that she needs
in the beaker for her experiment. She has put in 10 ml so far.
How much more does she need to add? Plz help
Answers
20%= 1/5
10*5=50
Since 10 is 1/5 of 50 and the question is how much more, subtract it from 50 and you get 40.
Sorry if it’s hard to understand. I did it in my head and it’s hard to explain when you know how to do it lol.
Bree took a math test and scored 152 points which was 95% of the total possible points
on the test. What was the total number of possible points.
Answers
152 divided by 95 = 1.6 and 1.6 x 100 =160
There are 160 adults and 285 children at a zoo. The zoo makes a total of $5,875 from the entrance fees, and the cost of an adult and a child to attend is $25, how much does it cost each for a parent and a child? Let a represent an adult. Let c represent a child. Enter a system of equations to represent the situation, then solve the system. The system of equations is . The adult tickets cost $ and the child tickets cost $ .
Answers
Answer:
cbzxnphfgzhohdxhlkvcdtbcdil to m kl nhi aaugi
i will pay someone to do my geometry review sheet answer fast
Answers
Answer:
where is it?
Step-by-step explanation:
Answer:
okay
Step-by-step explanation:
is it easy? good luck to me and your question
What is the value of a?
Answers
Answer:
your answer will be option B
Step-by-step explanation:
[tex]\frac{10}{12} =\frac{a}{38} \\\\a=\frac{(10) (38)}{12} \\\\=31.6[/tex]
6) On Cupcake Wars, the bakers must fill 1000 cupcake cones in the final challenge!
If the cupcakes are cone shaped and have a radius of 3 cm and a height of 6 cm, how
many cubic centimeters are need to fill 1000 cupcakes?
Answers
Answer:
Don't know the answer to bad for u hahahahahah
Step-by-step explanation: get better
A triangle has vertices X(2, 1), Y(5, 4), and Z(5, 1). What is the area of the triangle?
Answers
Answer:
Step-by-step explanation:
They gave you an easy triangle. You can tell by the coordinates that X and Z are horizontally aligned, and Y and Z are vertically aligned, so Z is a right angle.
Area = 0.5(XZ)(YZ) = 0.5(3)(3) = 4.5 square units.
How many milliliters of chocolate milk are in the container shown? Enter your answer in the box.
A pitcher shows 4 lines at 1, 2, 3, and 4 liters from bottom to top. Chocolate milk rises to the level of the line at 3 liters.
Answers
Answer:
I don't know
Ich bin fett
I'm just a fat boy watching ph once a month
Step-by-step explanation:
bobo Ampt
Five friends are sharing 7 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
Answers
Answer:
1.4
Step-by-step explanation:
7 ÷ 5 = 1.4 or 7/5 as a fraction
Combine like terms to simplify; (5x + 2) + (4x + 5). 1 point 9x - 7 9x + 7 -9x - 11 X + 7
Answers
(5x + 2) + (4x + 5)
= 5x + 2 + 4x + 5
= 5x + 4x + 5 + 2
= 9x + 7
PLEASE HELP PLEASE URGENT!!
Find the number of unique permutations of the letters in each word.
BALLOON
A) 630
B)1,260
C) 1,870
D) 315
Answers
Answer:
B) 1,260
Step-by-step explanation:
7!/2!2! = 1,260
NEED HELP! WILL GIVE BRAINLIEST! <3
Answers
Answer:
See explanation
Step-by-step explanation:
1) 5/10
2) 3/10
3) 2/10
4) 7/10
Answer:
1) [tex]\frac{5}{10} = \frac{1}{2}[/tex]
2) [tex]\frac{3}{10}[/tex]
3) [tex]\frac{2}{10} = \frac{1}{5}[/tex]
4) [tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Probability = [tex]\frac{number of favourable outcomes}{total number of favourable outcomes}[/tex]
gray marbles = 5
white marbles = 3
black marbles = 2
total number of marbles = 10
f(n) restul impartirii lui n la 3. Sa se stabileasca daca functia f este periodica
Answers
Answer:
jajajajjajajajjajajajjajajb mucho men
Step-by-step explanation:
f
f
f
What is an equation of the line that passes through the points (0, 3) and (5, -3)?
Answers
Answer (assuming it can be in slope-intercept form):
[tex]y = -\frac{6}{5} x+3[/tex]
Step-by-step explanation:
1) First, use the slope formula [tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope of the line. Substitute the x and y values of the given points into the formula and solve:
[tex]m =\frac{(-3)-(3)}{(5)-(0)} \\m = \frac{-3-3}{5-0}\\m = \frac{-6}{5}[/tex]
So, the slope is [tex]-\frac{6}{5}[/tex].
2) Now, use the slope-intercept formula [tex]y = mx + b[/tex] to write the equation of the line in slope-intercept form. All you need to do is substitute real values for the [tex]m[/tex] and [tex]b[/tex] in the formula.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{6}{5}[/tex] for it. Since [tex]b[/tex] represents the y-intercept, substitute 3 for it. (Remember, the y-intercept is the point at which the line hits the y-axis. All points on the y-axis have an x-value of 0. Notice how the given point (0,3) has an x-value, too, so it must be the line's y-intercept.) This gives the following equation and answer:
[tex]y = -\frac{6}{5} x+3[/tex]
If x = 5 units, y = 6 units, and h = 6 units, find the area of the trapezoid shown above using decomposition. A. 102 square units B. 30 square units C. 66 square units D. 48 square units
Answers
Answer:
C. 66 square units
Step-by-step explanation:
The area of the middle rectangle would by base × height, or y × h, or 6 × 6.
The area is 36.
The area for one triangle would 1/2 × base × height.
(But since there are two triangles to solve for, the 1/2 is not necessary, and we can just do base × height again.)
So, it would be x × h, or 5 × 6.
The area is 30.
Combine both areas to get the whole area of 66 units²
Today, everything at a store is on sale. The store offers a 20% discount.
If the regular price of an item is x dollars, what is the discount price in dollars?
0.8x or x-0.2x
0.9x
0.7x
0.6
Answers
Answer:
0.8x or 0.2x
Step-by-step explanation:
20% of x = 20/100 × x = 0.2x
So discount price = x - 0.2x = 0.8x
Answer:
A =greatest amount
Step-by-step explanation:
The picture shows the top view of a piece of glass. A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet. Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply. A. A = 2 1 2 × 4 B. A = 5 2 + 4 C. A = ( 2 1 2 + 2 1 2 ) + ( 4 + 4 ) D. A = 5 2 × 4 E. A = ( 2 × 2 1 2 ) + ( 2 × 4 ) F. A = 2 1 2 + 4 answer and u get brainlyest
Answers
Answer:
d. and e.
Step-by-step explanation:
i did the test
Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that A rectangular piece of glass is shown.
The length is measured as 4 feet.
The width is measured as 2 and one-half feet.
We have to find the equations can be used to find the area of the piece of glass.
Area=Length×width
Area=4 feet × 2 and one-half feet
=4×[tex]2\frac{1}{2}[/tex]
=4×5/2
Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.
To learn more on Area of Rectangle click:
https://brainly.com/question/20693059
#SPJ2
in town 35% of 15 000 voters did not cast vote in election How many people cast their votes?
Answers
Let p = number of people that cast their vote.
p = 0.35(15, 000)
p = 5,250
determine whether (7,8) is a solution of 7x+9y=11
Answers
Answer:
(7, 8) is NOT a solution to the equation
Step-by-step explanation:
x = 7 and y = 8 so fill those into the equation
7(7) + 9(8) = 11
49 + 72 = 11
121 = 11
this makes the equation NOT true
So no, (7, 8) is NOT a solution to the equation
How many cm are in 3.05 miles?
(1 inch (in) = 2.54 centimeters (cm) and 1 mile (mi) = 63.360 inches (in)
Answers
Answer:
490849.9
Step-by-step explanation:
Answer:
490849.92 centimeters
1. Is the following question a statistical question? " During which month did your family take a vacation?"
2. What is the statistical variable represented by the following question, and is it categorical or quantitative? "How many TV sets are owned by families?"
Answers
Problem 1
Answer: No, it is not a statistical question
Explanation:
This is because the question is directed at a specific family, your family in particular. If the surveyor is only asking one person, then there's no need for statistics since a sample isn't formed.
If the question is posed to many people taking a survey, then it would be statistical in nature. However, no further context or clarification is given, so I'll assume that the question is directed at one person, or one family, only. I think your teacher would say "During which month do families take vacation?" to be more general and involve statistics.
==============================================================
Problem 2
Answer: The statistical variable is the number of tv sets owned, and this variable is quantitative
Explanation:
The variable is what we want to figure out, and it's random in nature. Hence the name "random variable". It takes on nonnegative whole numbers 0,1,2,3,... so we can see the data set is discrete. The term "discrete" in math means that there aren't infinitely many numbers between two values. For example, if we pick 2 and 5, we can see the values 3,4 are between them and that's it. Contrast this with a continuous data set and there are infinitely many real numbers between 2 and 5 (eg: 2.78912 and 3.412)
While it might be tempting to think of a discrete number set as finite, that's not entirely true. We have infinitely many nonnegative whole numbers to work with. Though of course, there's a realistic limit that we arrive to and someone having 277 televisions is completely out of the ordinary, if not impossible.
The data variable "Number of TV sets owned" is not only discrete, but it's also ordinal, interval and ratio data as well. Here's a breakdown of what I mean
Ordinal = The data values 0,1,2,3,... can be ordered and it makes sense to do so. Usually the order is from smallest to largest.Interval = Gaps between any two values make sense. So going back to 2 and 5, the gap here is 3. Meaning that if family A has 2 tvs and family B has 5 tvs, then we can say that family B has 3 more tvs compared to family A. Such a statement is valid which means interval data applies.Ratio = Not only can we subtract, but we can also divide. If family A has 2 tvs and family B has 6 tvs, then we can see that the second family has 6/2 = 3 times as many televisions compared to the first family. Again, you have to ask if such a statement makes sense for this type of data to apply.Since we have many terms apply to this, it sometimes helps to pick just one and try to have it describe the others implicitly. So we go for ratio data since that encapsulates interval and ordinal data types as well. If something is ratio, then automatically it must be ordinal and interval. Division depends on the numbers being well ordered, and that gaps between values make sense and are consistent.
To recap, the data type is quantitative, discrete, and we have a ratio scale.
The variable "number of tv sets owned" is not categorical since the choices to pick from 0,1,2,3,... aren't names; instead they are numbers in which we can perform math operations on and have it make sense. So that's why we go for quantitative data instead of categorical. If it asked "what brand of TV are owned by families?", then the categories of the various brand names would be the answer choices, and lead to categorical data.
Side note: categorical data is always qualitative
A 95% confidence interval is found to be (28, 32). The sample standard
deviation is 7, and the sample size is 49. If you wanted a smaller interval,
what could you do?
Answers
Answer:
b
Step-by-step explanation: