Express the following fraction in simplest form using only positive exponents. \frac{12u^{10}}{4(u^{3})^4}
4(u
3
)
4
12u
10
The simplified form of the fraction is 3/u², where u is a positive real number.To simplify this fraction, we can first simplify the denominator by using the exponent rule that says: \((a^{m}) ^{n} =(a^{m*n})\). Applying this rule, we get:
4(u³)⁴ = 4u³*⁴ = 4u¹²
Now, we can substitute this value back into the original fraction and simplify further:
(12u¹⁰)/(4(u³)⁴) = (12u¹⁰)/(4u¹²)
We can simplify the fraction further by dividing both the numerator and the denominator by the greatest common factor (GCF) of 12 and 4, which is 4. Also, we can simplify the exponent by using the exponent rule that says: \(\frac{a^{m} }{a^{n}} =a^{m-n}\). Applying these steps, we get:
(12u¹⁰)/(4u¹²) = (3u¹⁰)/(u¹²) = 3/u²
Therefore, the simplified form of the fraction is 3/u², where u is a positive real number.
Find more about Fraction
brainly.com/question/29995320
#SPJ4
What is the quotient of (-168) + (-14) + (-3)? Pls help me
A: -36
B: -4
C: 4
D: 36
Answer: B: -4
Step-by-step explanation: -168/-14 = 12
12/-3 = -4
Please send the answer. Anyone.
Answer:
god will help u
Step-by-step explanation:
Which operation is done first to evaluate this expression: 5 + 7 x 2 - 9
Answer:
7*2 and then you would go from left to right, 7*2 =14 then it would be 5+14-9, then 19-9=10 and there you go.
Step-by-step explanation:
Answer:
Multiply the 7 and the 2
7 x 2
Step-by-step explanation:
5 + 7 x 2 - 9
PEMDAS
P there are no parentheses
E there are not exponents
MD multiply and divide from left to right
5 + 7 x 2 - 9
The number of days between May 20 and November 22 is: Multiple Choice O None of these O 186 O 183 O 197 O 206
The number of days between May 20 and November 22 is 182 days. Option C, 183 is the closest answer to the correct answer.
To determine the number of days between May 20 and November 22, we first need to determine the number of days in each month. Here are the days in each month of the year: January: 31 days, February: 28 days (or 29 in a leap year)March: 31 days, April: 30 days, May: 31 days, June: 30 days, July: 31 days, August: 31 days, September: 30 days, October: 31 days, November: 30 days, December: 31 days. Using the formula D = (M2 - M1) × 30 + (D2 - D1) where D is the number of days, M is the month, and D is the date, we can calculate the number of days between May 20 and November 22:D = (11 - 5) × 30 + (22 - 20)D = 6 × 30 + 2D = 180 + 2D = 182.
Let's learn more about month:
https://brainly.com/question/20927686
#SPJ11
Will Give You Brainlist
Answer:
I think the y-intercept is 0. I hope I'm right.
when you are interrogating the external validity of a sample, which is the most important question to ask? how many people are in the sample? how many people are in the population? how was the sample collected? how were the participants measured?
While all the questions are important, the method of sample collection has the greatest impact on the external validity of a sample.
When interrogating the external validity of a sample, the most important question to ask is: "How was the sample collected?" The method of sample collection is crucial because it determines how representative the sample is of the larger population. If the sample is not collected in a systematic or random manner, the results may not be generalizable to the population as a whole. Additionally, the size of the sample (i.e., "how many people are in the sample?") is also important as a larger sample size generally increases the confidence in the results. The size of the population (i.e., "how many people are in the population?") is relevant in determining the proportion of the population represented by the sample. Lastly, "how were the participants measured?" is significant in understanding the reliability and validity of the data collected.
To know more about sample visit:
brainly.com/question/32907665
#SPJ11
Find M∠ABD.
ABC= 30*
CBD= 45*
An investor has $75,000 to invest in a CD and a mutual fund. The CD yields 6% and the mutual fund yields 7%.
The mutual fund requires a minimum investment of $10,000, and the investor requires that at least twice as much
should be invested in CDs as in the mutual fund. How much should be invested in CDs and how much in the
mutual fund to maximize the return? What is the maximum return?
In the data set below, what is the interquartile range?
34 60 65 70 72
Answer:
The Interquartile Range or (IQR) is 24
Step-by-step explanation:
Since the data set is ordered, we don't need to order it.
Now, to find the interquartile range:
First, find median which is 65 since it is in the middle
Next, we find the median in Quartile 1 and Quartile 3 (Quartile 2 is median)
So in Quartile 1, median is 47
Quartile 2, median is 71
Now find the range of those two:
71 - 47 = 24
Hope this helps!!
NEED HELP ASAP
Which of the following vertices would minimize the objective function N = 7x + 2y?
A. (4,0)
B. (6,3)
C. (3,9)
D. (0,12)
The vertices that would minimize the objective function N = 7x + are (4, 0)
How to determine which of the vertices that would minimize the objective function N = 7x + 2y?The objective function is given as
N = 7x + 2y
Next, we substitute the values in the options in the objective function
So, we have
A. (4,0)
N = 7(0) + 2(4)
N = 8
B. (6,3)
N = 7 x 6 + 2 x 3
N = 48
C. (3,9)
N = 7 x 3 + 2 x 9
N = 39
D. (0,12)
N = 7 x 0 + 2 x 12
N = 24
The smallest result in the above computations is 8
Hence, the vertices that would minimize the objective function N = 7x + are (4, 0)
Read more about objective function at
https://brainly.com/question/14309521
#SPJ1
Professor Kumar shares her students' test scores on the classroom door. 12 earned an A, 9 earned a B, 23 earned a C, 2 students earned a D, and 2 students earned an E. In statistical terms, this is a
In statistical terms, this is a frequency distribution or frequency table.
It represents the number of occurrences (frequency) of each category or class (A, B, C, D, E) in a dataset (the students' test scores).
We have,
Frequency distributions are used to summarize and organize data, making it easier to analyze and understand the distribution of values or categories within a dataset.
Suppose Professor Kumar has a total of 48 students in her class, and she shares their test scores on the classroom door.
Total students = 12 + 9 + 23 + 2 + 2 = 48
The scores are categorized into five letter grades: A, B, C, D, and E.
The frequency distribution would look like this:
Letter Grade Frequency
A 12
B 9
C 23
D 2
E 2
This table shows the number of students (frequency) who earned each letter grade.
Thus,
In statistical terms, this is a frequency distribution or frequency table.
Learn more about the frequency table here:
https://brainly.com/question/29084532
#SPJ12
Michael bought a $12.99 CD and 3 packs of gum. Andie bought a different CD for $8.99 and 6 packs of
gum. Each of them spent the exact same amount. Which equation below could be used to find g, the
cost of one pack of gum?
A 12.99+ g = 8.99 + 9
B 12.99 + 3g = 8.99 + 69
C 12.99 + 8.99 = 3g + 69
D 12.99 + 69 F 8.99 +39
Answer:
I think that B is the best answer
In a two-tailed test, a statistician got a z test statistic of 1.47. What is the p-value? Select one: a. .0708 b. .1416 c. .0874 d. .0301
The p-value is 2 * 0.0708 = 0.1416.
To find the p-value associated with a z test statistic of 1.47 in a two-tailed test, we need to calculate the probability of observing a test statistic as extreme or more extreme than 1.47 in both tails of the standard normal distribution.
The p-value is the probability of observing a test statistic as extreme or more extreme than the observed value. In a two-tailed test, we need to consider both tails.
To find the p-value, we can use a standard normal distribution table or a statistical calculator. In this case, using a standard normal distribution table, we find that the area to the right of 1.47 is 0.0708.
Since it is a two-tailed test, we need to consider both tails. Therefore, the total p-value is twice the area in one tail.
Know more about probability here:
https://brainly.com/question/32004014
#SPJ11
1
For what value of x is the equation -3x + 7 = -17 true?
Answer:
-3x+7=-17 x=8
Step-by-step explanation:
-3*8+7=-17
PLEASE I NEED HELP RN!!!
Find the Incenter: Given A (-4,2), B(4,5), and C(3,-1) Rounded to the nearest hundredth.
9514 1404 393
Answer:
(1.43, 1.87)
Step-by-step explanation:
The formula for the incenter requires we know the lengths of the sides of the triangle. These are found using the distance formula.
BC = √((4-3)^2 +(5+1)^2) = √37
AC = √((-4-3)^2 +(2+1)^2) = √58
AB = √((-4-4)^2 +(2-5)^2) = √73
Then the incenter is ...
(A(BC) +B(AC) +C(AB))/(BC +AC +AB)
≈ (6.08276(-4, 2) +7.61577(4, 5) +8.54400(3, -1))/22.2425
≈ (1.42808, 1.87480)
Rounded to hundredths, the incenter is (1.43, 1.87).
a-If given that we were tasked to evaluate the model, between MAPE and R2 which of these parameters do we use?
b-If given that model A has a higher MAPE than model B but model B has a higher R2 than model A, then how do we choose among the two?
c-Between the MAPE , MAD and MSD, which of these parameters shall we use for accuracy measures and why?
a. When evaluating a model, we use R2 as a parameter for performance assessment.
b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.
c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.
When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.
The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.
When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.
Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.
Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.
It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.
Learn more about Model
brainly.com/question/32196451
#SPJ11
help with my geometry please
Answer:
x = 11
z = 86
Step-by-step explanation:
8x + 6 and 10x-16 are vertical angles
Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.
To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:
8x + 6 - 6 = 10x - 16 - 6
8x = 10x - 22
Now we can subtract 8x from both sides of the equation:
8x - 8x = 10x - 22 - 8x
0 = 2x - 22
To solve for x, we can add 22 to both sides of the equation:
0 + 22 = 2x - 22 + 22
22 = 2x
Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2
x = 11
Therefore, the solution to the equation is x = 11.
Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)
Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.
First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94
180 - 94 = z
z = 86
Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
the volume of a sphere is decreasing at a constant rate of 3 cubic centimeters per second. at the instant when the radius of the sphere is decreasing at a rate of 0.25 centimeter per second, what is the radius of the sphere?
As the volume of the sphere is decreasing at a constant rate of 3 cm³/s, the radius of the sphere is 0.98 cm
The volume of the sphere is given by:
V = 4/3. πr³
Where:
r = radius.
Take the derivative with respect to t
dV/dt = 4. πr² dr/dt
Data from the problem:
dV/dt = 3 cm³/s
dr/dt = 0.25 cm/s
Plug these parameters into the equation:
3 = 4. πr² (0.25)
πr² = 3
r² = 3/π
r = sqrt (3/π) = 0.98 cm
Learn more about derivative here:
https://brainly.com/question/28838381
#SPJ4
PLEAse help geometry
Answer:
A clockwise rotation of 90° about the origin
2.4-1.2x=20.5-(3x+10)
Answer:
x=4.5
Step-by-step explanation:
Isolate the variable by dividing by each side by factors that don't contain the variable.
find the point on the curve r(t)=(2cost 2sint e^t)
To find the point on the curve r(t)=(2cost, 2sint, e^t) we need to evaluate the x, y, and z coordinates at a specific value of t. Let's choose t=0 for simplicity.
So, plugging in t=0 we have:
r(0) = (2cos(0), 2sin(0), e^0)
r(0) = (2, 0, 1)
Therefore, the point on the curve at t=0 is (2, 0, 1).
To find the point on the curve r(t) = (2cos(t), 2sin(t), e^t) for a specific value of t, you can plug in the value of t into the parameterized equation:
1. Replace t with the specific value you're interested in (e.g., t = a).
2. Compute 2cos(a) for the x-coordinate.
3. Compute 2sin(a) for the y-coordinate.
4. Compute e^a for the z-coordinate.
The point on the curve will be (2cos(a), 2sin(a), e^a).
Learn more about point on the curve here: brainly.in/question/4174294
#SPJ11
if rooms revenue is $75,884 and the total number of rooms sold is 662, then the average daily rate is: group of answer choices $114.63 $125.00 $118.75 $136.50
The average daily rate is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the average daily rate is (option) $114.63.
The average daily rate is a measure of the average amount of money that a hotel is able to generate per room per day. It is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the total rooms' revenue was $75,884 and the total number of rooms sold was 662, which gives us an average daily rate of $114.63. This is a useful measure for hotels to gauge the performance of their business and to set pricing accordingly. It also helps hotels identify opportunities for increasing revenue, such as offering discounts or promotions to attract more customers.
Learn more about average daily rate: https://brainly.com/question/28752501
#SPJ4
Connor edits 34 pages in 8 hours.
The rate at which Connor edits pages is 4.25 pages per hour.
How to find the rate of work?
We define "rate" as the ratio in which two measurements are related to each other.
In this case, the rate at which Connor edits is given by the quotient between the total number of pages that Connor edited and the time in which he did it, then we get:
R = (34 pages)/(8 hours) = 4.25 pages per hour.
From this, we can conclude that Connor edits 4.25 pages per hour
If you want to learn more about rates, you can read:
https://brainly.com/question/8728504
Answer: 1 hour = 4.25
12 hour = 51
HELLLP!!! Which of the following is a true statement?
A) 3/4 > 13/16
B) 6/7 < 5/8
C) 1/3 < 24/72
D) 3/5 > 4/7
Answer:
C is the correct answer.
Step-by-step explanation:
All you have to do is divide 72 by three to get it into thirds and 1/3 is 24.
Answer:
D
Step-by-step explanation:
3/5>4/7
find the common denominator
the common denominator is 35
so since you multiply 7 to 5 to get 35 multiply 7 to 3
3/5 = 21/35
since you multiply 5 to 7 to get 35 multiply 5 to 4
4/7 = 20/35
21/35 > 20/35
HELP PELASE
Jerry is planning a 500-mile trip and estimates it will take 10 hours. Approximately how fast will he be traveling?
If it helps i have the image here :]
Answer:
50miles an hour
Step-by-step explanation:
50miles an hour because R = d/t so 500 / 10 is 50
so rate is 50/hour
An angle measures 12° less than three times it’s supplement. Find the measure of the angle
Answer:
132 degrees.
Step-by-step explanation:
Let the supplement be x and the angle be y.
x + y = 180 degrees.
y = (3x - 12) degrees.
x + 3x - 12 = 180
4x = 192
x = 48 degrees
y = 132 degrees
Hope this helped!
biomedical researchers are testing a cancer treatment to see if it is safe for human use. this can be thought of as a hypothesis test with the following hypotheses. h0: the medicine is safe ha: the medicine is not safe the following is an example of what type of error? the sample suggests that the medicine is safe, but it actually is not safe.
a. type 1
b. type 2
c. not answer
The scenario you described, in which the sample suggests that the medicine is safe, but it actually is not safe, represents a Type 2 error. In hypothesis testing, a Type 1 error occurs when we reject the null hypothesis (H0) when it is actually true. In this case, it would mean concluding that the medicine is not safe when it is, in fact, safe.
The example of the sample suggesting that the medicine is safe, but it actually is not safe, is an example of a type 2 error. This error occurs when the null hypothesis (in this case, that the medicine is safe) is incorrectly accepted, leading to the conclusion that the medicine is safe when it is actually not. Hope this answer helps!
a. Type 1 error occurs when the null hypothesis (H0) is rejected when it is actually true. In this case, the null hypothesis is that the medicine is safe. A Type 1 error would mean concluding that the medicine is not safe when it actually is safe. b. Type 2 error occurs when the null hypothesis (H0) is not rejected when it is actually false. In this case, the null hypothesis is that the medicine is safe. A Type 2 error would mean concluding that the medicine is safe when it actually is not safe.
To more know about hypothesis visit:-
https://brainly.com/question/1866915
#SPJ11
Please help asap! thanks!
Answer:
it could be either A or D
SLAP ME IF I AM WRONG!
Step-by-step explanation: