Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below.
x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction
What is Tyler’s error?
Both powers should be in the numerator with positive exponents.
Both powers should be in the denominator with positive exponents.
The power x cubed should be in the numerator and the power y Superscript 9 in the denominator.
The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.
Answers
Answer:
D. The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.
Step-by-step explanation:
The correct simplification is the following:
\(\frac{x^{-3}}{y^{-9}} = \)
\(= \frac{1}{x^3} \times \frac{1}{y^{-9}} =\)
\(= \frac{1}{x^3} \times y^{9} =\)
\(= \frac{y^{9}}{x^3}\)
Answer:
The answer is D)
Start Fraction 1 Over r Superscript 7 Baseline End Fraction + Start Fraction 1 Over s Superscript 12 End Fraction
Step-by-step explanation:
Did the Test Zero & Negative Exponents on Engenuity.
Related Questions
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
Give correct answer and I will give you branlist
Answers
Hello!
Space = 5 cm + 10cm + 10cm + 20cm + 22cm + 30cm => space = 15cm + 10cm + 20cm + 22cm + 30cm => space = 25cm + 20cm + 22cm + 30cm => space = 45cm + 22cm + 30cm => space = 67cm + 30cm => space = 97cm²
Good luck! :)
Answer:
97cm square
Step-by-step explanation:
Phil is riding his bike. He rides 23 miles in 2 hours, 34.5 miles in 3 hours, and 46 miles in 4 hours. Find the
constant of proportionality and write an equation to describe the situation. Let x represent the number of
hours.
The constant of proportionality is k =
The equation that describes the relationship is y =
Answers
Answer: Constant = 11.5
y = 11.5x.
Step-by-step explanation:
This is direct variation so the equation of proportionality is
y = kx where y = miles, x = hours and k is a constant.
23 = 2k
k = 11.5
34.5 = 3k
k = 11.5
46 = 4k
k = 11.5
The equation is my= 11.5x.
Answer:
I mean... at least he is fit-
In her computer science class, Rebecca is learning how to program computer games. For her final project, Rebecca is creating her own multilevel game. There is a proportional relationship between the number of levels Rebecca has created for her game, x, and how long (in weeks) it took her to program them, y. Write an equation for the relationship between x and y. Simplify any fractions. y=
Answers
Answer:
G=100x*8y
Step-by-step explanation:
X = the levels. I put 100 for this. 8 weeks to put each level. Lets say its kinda like Fortnite where each level reached gets you a new item. * weeks represents the time she took the figure out what item would go to each level.
I have a triangle with two equal sides and need to find x the angle they give me is 74, and my answer needs to be 53 or 56 but all i get is 32 can someone help me.
Answers
Answer:
56 prob
Step-by-step explanation:
I ONLY NEED HELP WITH 2 AND 6 TEH REST ARE FOR INFO
Josue and Sara both walk dogs during the week. They each walk 10 dogs in the morning and 10 other dogs in the afternoon. Select one of the groups to see how much the dogs in each group weigh. The heavier dogs usually have more energy and want to take longer walks than the smaller dogs.
Josue's dogs:
Morning:
26, 21, 15, 35, 38, 16, 13, 28, 30, 25
Afternoon:
15, 12, 9, 7, 44, 23, 55, 10, 37, 35 Sara's dogs:
Morning:
39, 21, 12, 27, 23, 19, 19, 31, 36, 25
Afternoon:
15, 51, 8, 16, 43, 34, 27, 11, 8, 39
1. Which dog-walker did you select? Circle one.
Josue
Comparing the Morning and Afternoon Groups
2. Create frequency tables to represent the morning and afternoon dogs as two sets of data. Group the weights into classes that range 10 pounds. (4 points: 2 points for appropriate intervals, 2 points for correctly portraying data)
3. What is the median of the morning (AM) group? What is the median of the afternoon (PM) group? (2 points: 1 point for each answer)
Am group median: 25.5 Pm group median: 19
4. What is the first quartile (Q1) of the morning (AM) group? What is the first quartile (Q1) of the afternoon (PM) group? (2 points: 1 point for each answer)
Am group first Quartile = 16 Pm group first Quartile = 10
5. What is the third quartile (Q3) of the morning (AM) group? What is the third quartile (Q3) of the afternoon (PM) group? (2 points: 1 point for each answer)
Am group third Quartile = 30 Pm group third Quartile = 37
6. Create a comparative box plot for the morning and afternoon dogs, and label each with its five-number summary. (6 points: 3 points for the correct form of plot, 3 points for appropriate labels)
7. What is the interquartile range (IQR) of the morning (AM) group? What is the interquartile range (IQR) of the afternoon (PM) group? (2 points: 1 point for each answer)
Am group Interquartile Range = 14 Pm group Interquartile Range = 27
8. The average weights of the dogs are the same for the morning and afternoon groups. But based on your comparative box plot and the IQRs of the two groups, which group of dogs do you think would be easier to walk as one group? Why? (2 points: 1 point for answer, 1 point for justification)
Am group because its Interquartile gruop is smaller than the Pm group
Answers
The sum of two numbers is 80. If the difference between the same two numbers is 8, find the two numbers.
Answers
Answer:
The numbers are 44 and 36
Step-by-step explanation:
n + n - 8 = 80
2n - 8 = 80
2n (- 8 + 8) = 80 + 8
2n = 88
2n/2 = 88/2
n = 44
44 - 8 = 36
A scuba diver is 15.5 feet below the surface of the water. If the diver continues to swim downward at a rate of 2.5 feet per second, what is her location, in feet, relative to the surface after 712 seconds? feet
Answers
The answers is: 33
33 is the integer that represents her location relative to the surface after 7 seconds.
And 33 feet far the diver have to go to return to the surface.
Step-by-step explanation:
Given:
A scuba diver is 15.5 feet below the surface of the water.
The diver continues to swim downward at a rate of 2.5 feet per second.
Now, to find the integer represents her location relative to the surface after 7 seconds.
And to find how far does the diver have to go to return to the surface.
So, to get the integer represents her location relative to the surface after 7 seconds.
Initial depth = 15.5 feet.
Distance traveled down = 7 × 2.5 = 17.5 feet.
Final depth of water surface = Initial depth + Distance traveled down.
Final depth of water surface = 15.5 feet + 17.5 feet.
Final depth of water surface = 33 feet.
Thus, 33 is the integer represents her location relative to the surface after 7 seconds.
Now, to get how far does the diver have to go to return to the surface:
As, the diver goes to 33 feet down to the surface.
Thus, the diver to return she have to go through the same distance.
So, to return to the surface she need to go to 33 feet far.
Therefore, 33 is the integer that represents her location relative to the surface after 7 seconds.
And 33 feet far the diver have to go to return to the surface.
Which question is NOT a statistical question?
a.What is the average attendance for school field hockey games?
b.How often do middle school students eat fresh fruit every week?
c.What is the height of the Empire State Building?
d.How did students’ math grades change over the year?
Answers
Answer:
The answer is C. What is the height of the Empire State Building.
I AM SO DAM DUM. PLEASE HELP
Answers
Answer: The length of the base of the triangle is, 9.1 inches
Step-by-step explanation: The area of the triangle below is 23.66 square inches.
And, The height = 5.2 inches
We know that;
Area of triangle = 1/2 × Base × Height
Substitute all the values we get;
⇒ 23.66 = 1/2 × Base × 5.2
⇒ 23.66 = Base × 2.6
⇒ Base = 23.66 / 2.6
⇒ Base = 9.1 inches
Explanation: 23.66 times 2 is 47.32 divided by 5.2 is 9.1 and 9.1 times 5.2 is 47.32 divided by 2 is 23.66
Please help me I just need the ticket price.
Answers
HELP PLEASE FOR 100 POINTS!! For each parabola, a) Write the equation of the function; b) Give the minimum or maximum value of the function; c) Find the domain and range.
Answers
a- y=x^2
b- Maximum (0,0)
c- Domain= (-infinity,+infinity)
Range=(-infinity, 0]
Number 6:
a- y=-x^2 (the - changes the direction of parabola)
b- Minimum (0,0
c- Domain= (-infinity,+infinity)
Range= [0, +infinity)
*note when I use [] and ()
same with the + and - infinities
Hope this helps! :)
Answer:
1 problem is b 2 problem is c
Step-by-step explanation:
There is MORE THAN ONE ANSWER !!!!!
Answers
The median is not affected by outliers, therefore the MEDIAN IS A RESISTANT MEASURE OF CENTER. For a symmetric distribution, the MEAN and MEDIAN are close together. In a skewed distribution, the mean is farther out in the long tail than the median.
3x+4y=16
find the value of x and y
Answers
-3x -3x
4y=-3x+16
—- ———-
4 4 4
Y=-3
- x + 4
4
Simplify the equation.
Answers
Answer:
Step-by-step explanation:
5(x-3y)+2(4x+y)-(x+y)
5x-15y+8x+2y-x-y
5x+8x-x-15y+2y-y
13x-x-13y-y
12x-12y
explanation:
add 5x and 8x and you get 13x−15y+2y−x−y
then subtract x from 13 x and you get 12x-15y+2y-y
then you add -15y and 2y and you get 12x-13y-y
then you subtract y from -13y and you get 12x-14y (answer).
help help help help help help help please please please please please please please
Answers
Please help me with this question.
Answers
Answer:
C
Step-by-step explanation:
Because both have ratios of marker/price
because it’s shown to determine the cost of 13 markets
What is composition of functions?
Answers
i needdd helppp i need to answer this in 10 minn!!!
6th grade
Answers
Answer: use your big head
Step-by-step explanation:
Look It up
Use the distributive property to write the following expression without parentheses.
-3/5(20x-20y)
Answers
Answer:
-12x+12y
Step-by-step explanation:
\(-\dfrac{3}{5}(20x-20y)=\\\\-\dfrac{3}{5}(20x)+-\dfrac{3}{5}(-20y)=\\\\-12x+12y\)
Hope this helps!
Answer:
\(-12x+12y\)
Step-by-step explanation:
We have the following expression:
\(-\frac{3}{5} (20x-20y)\)
TO remove the parenthesis, we need to multiply each term within them by each term on the outside of the parenthesis. Then, we can simplify our answer..
\((-\frac{3}{5} )(20x)-(-\frac{3}{5} )(20y)\\\\-12x+12y\)
Please help really quickly! Thank you!
Answers
Help
What are the chances of choosing a black marker out of a bag containing 3 red markers, 5 blue markers, 3 yellow markers, and 4 black markers?
Answers
Answer: 16/225
Step-by-step explanation:
i did the math
3 red + 5 blue + 3 yellow + 4 black
= 15 markers
And there’s 4 black markers so it would be a 4 (number of items) over the total amount (15)
Estimate: 4.1 * 7.8 *2.3
Answers
Answer:
yea yeah
Step-by-step explanation:
singing challenge
Paula spent 3/8 of her allowance on clothes and 1/6 on entertainment. What fraction of her allowance did she spend on the other items?
Answers
Answer:
11/24
Step-by-step explanation:
x=1-(3/8+1/6)
so
x=1-(13/24)=11/24
sorry if i need any.
Answer:
11/24
Step-by-step explanation:
you have to make the denominators the same.
to do that, you must find the LCM (Least Common Multiple) of the denominators which are 6 and 8.
Multiples of 6: 6, 12, 18, 24 (6 multiplied by 4 = 24)
Multiples of 8: 8, 16, 24 (8 multiplied by 3 = 24)
the LCM of 6 and 8 is 24 - this means that the smallest number that BOTH 6 and 8 can be divided into, WITHOUT leaving a remainder is 24.
From there, you multiply the ENTIRETY of each fraction by the number the denominator multiplies by to get 24:
3/8 multiplied by 3/3 = 9/24
1/6 multiplied by 4/4 = 4/24
NB: If you wish to check if your new and your old fractions are the same, all you have to do is simplify the new fractions and see whether or not you get back the old ones.
Next, you add the new fractions:
9/24 + 4/24 = 13/24
To get the allowance that she spent on other items:
24/24 (which is equal to 1 or 1 whole) - 13/24
This then results in 11/24 which is your answer
Do the ratios
8
12
and
3
2
form a proportion?
Answers
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
Learn more about functions at: https://brainly.com/question/25638609
#SPJ1
The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
https://brainly.com/question/30721594
a 20-foot flagpole casts a 6-foot Shadow how tall is a nearby building that casts a 30-foot shadow
Answers
Hey There!!
The answer to this is: The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is 5x. Then all you have to do is 20x5 and you get 100 ft.
Hope It Helps!~
please help with these questions (no links)
Answers
Answer:
tbh im sorry i dont know :(
7. C=2pie is 6.283185307
8. C=5pie is 15.70796327
9. C=8pis is 25.13274123
Please help me I really need this one
Answers
Answer:
The answer is 48^2cm
Step-by-step explanation:
Multiply the sides✔✔✔
Will give brainliest to the best or first answer!
Answers
Answer: Not what's written down.
Step-by-step explanation:
Okay, so basically, if you have a letter, no other number can go with that number with a letter. So like 5x + 2b -7.
There is only one number that has x, so 5x.
Same with b. 5x + 2b.
Now, there is no letter with the 7, so that will stay the same.
So, the answer is 5x + 2b -7.
Now, I look at your question.
If I do all of the work I just showed, the answer is C.