if w=span{u1,u2}, determine whether each of the following vectors is in w⊥
Answers
w⊥ (read "w perp") is the set of all vectors that are orthogonal (perpendicular) to every vector in w. In other words, if v is in w⊥, then v is perpendicular to both u1 and u2.
Now, onto the specific question. We have w=span{u1,u2}, which means that w is the set of all linear combinations of u1 and u2. In other words, any vector in w can be written as c1u1 + c2u2 for some constants c1 and c2.
To determine whether a vector is in w⊥, we need to check if it is perpendicular to both u1 and u2. We can do this using the dot product.
Recall that the dot product of two vectors u and v is defined as u·v = ||u|| ||v|| cos(θ), where ||u|| and ||v|| are the magnitudes of u and v, and θ is the angle between them. If u and v are perpendicular, then cos(θ) = 0 and their dot product is 0 as well.
So, for each vector we are given, we can compute its dot product with u1 and u2 and check if they are both 0.
If they are, then the vector is in w⊥. If not, then the vector is not in w⊥.
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Related Questions
You walk down a hill for 45 meters. You accomplish this in 9 seconds. What is your velocity?______m/s.
Don't forget to include a negative sign if the answer is negative!
Ex: 10 m/s or -10 m/s. DO NOT USE DECIMALS.
Answers
Velocity is 5m/s.
In the given statement is :
You walk down a hill for 45 meters. You accomplish this in 9 seconds. What is your velocity? ______m/s.
Firstly, Let's know the:
What is Velocity?
Velocity refers to the rate of change in displacement with respect to time.
Furthermore, distance and displacement are the key points of the velocity.
Now, Calculate the velocity, by using formula of Velocity
Velocity = Displacement/ time
And, Velocity = 45/9 = 5m/s.
Therefore Velocity is 5m/s
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It took Hank 3.4 hours to travel 124 miles. At that rate, how long will it take Hank to travel 310 miles?
Answers
Answer: Time = 8.5 hours
Step-by-step explanation:
Step 1
Speed = distance / time
Distance traveled by Hank = 124 miles
Time = 3.4 hrs
Speed= Distance / Time
= 124/ 3.4 = 36.47 miles per hour
Step 2
At this same rate of speed =36.47 miles per hour, if he travels 310 miles, he will spend=
Time = Distance / Speed
Time = 310/ 36.47
Time =8.5 hours
simplifying with like terms; 2(3y + 10)
Answers
2 ( 3y + 10)
Use 2 to multiply both 3y and 10
Therefore, you have
2 x 3y + 2 x 10
6y + 20
briefly explain the goal for defining and measuring variability. a measure of variability describes the degree to which the scores in a distribution are . variability also measures the .
Answers
Variability provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out to clustered together. The purpose for measuring variability is to obtain an objective measure of how the scores are spread out in a distribution
What is variability ?Variability also measure how accurately individual score or sample represent the entire population
When the standard deviation is 0 , the scores have no variability.
Variability describes how far the data points are from each other and from the center of the distribution. In addition to measures of central tendency, measures of variability provide descriptive statistics that summarize the data.
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Select the correct answer. Let f(x) and g(x) be polynomials as shown below. Which of the following is true about f(x) and g(x)? f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are closed under multiplication because when multiplied, the result will not be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will not be a polynomial.
Answers
f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given f(x) and g(x) two polynomial functions in the standard form of the polynomial,
According to Closure Property, when something is closed, the output will be the same as the input.
The polynomials f(x) and g(x) can be seen in the image.
On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.
Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.
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Complete question:
The double number line shows that 42 people watched Deon's new video today.
People
Percentage
0
0
42
100
People
0%
Complete the table to show different percentages of the number of people who watched the
video.
42
100%
Percentage
100% of 42 people
50% of 42 people
150% of 42 people
Answers
The different percentages are, 42%, 21% and 63%.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The word "percent" is used to symbolize it.
There is no dimension to percentages. As a result, it is known as a dimensionless number. We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
Now, according to the given information, the double number line shows that 42 people watched Deon's new video today.
Now, we are to find,
100% of 42 people.
This is, (100/100)*42 = 42%.
Again, 50% of 42 people is,
(50/100)*42 = 21%.
Again, 150% of 42 people is,
(150/100)*42 = 63%.
Hence, the percentages are, 42%, 21% and 63%.
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Answer:
Answers are in the explaination.
Step-by-step explanation:
100% of 42 people answer is 42
50% of 42 people answer is 21
150% of 42 people answer is 63
f (x) = |x|
g (x) = |x| + 1
we can think of g as a translated (shifted) version of f.
Use nonnegative numbers:
to get the function of g, shift f (up/down/left/or right) by ------- units.
So, do i shift up, down, left, or right and by how many units?
Answers
To get the function of g(x) = |x| + 1,
You shift UP by 1 unit.
What is the difference between the height and slant height
of this pyramid?
Height (h)
Slant height (L): 10.50
10.0
Answer using complete sentences.
L
S
L
S
Answers
The difference between the height (h) and the slant height (L) of the pyramid is that the height measures the vertical distance from the apex to the base, while the slant height measures the length along the surface of the pyramid from the apex to any point on the base's edge.
The height (h) of a pyramid refers to the perpendicular distance between its base and its apex. It is the vertical measurement from the highest point of the pyramid to the base. In the given context, the specific value of the height (h) is not provided, so we cannot determine its exact value.
On the other hand, the slant height (L) of a pyramid refers to the length of the line segment that connects the apex of the pyramid to any point on the edge of its base. The slant height is measured along the surface of the pyramid, forming an inclined line from the apex to the base. In this case, the slant height is given as 10.50 units.
Therefore, the difference between the height (h) and the slant height (L) of the pyramid is that the height measures the vertical distance from the apex to the base, while the slant height measures the length along the surface of the pyramid from the apex to any point on the base's edge.
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45 boys and 90 girls are taking Choir this year at Travis Middle School. 20% of the students enrolled have secured solos. How many students have secured solos?
Answers
Answer: 27 students
Step-by-step explanation:
First take 45 + 90 = 135 students total
20% = 0.2
Then take 135 times 0.2 = 27 students
Enter the mixed number as an improper fraction.
2
2
5
=
Answers
Answer:
12/5Step-by-step explanation:
2 2/5 is equal to 12/5 because...
1 2/5 = 7/5
2 2/5 = 12/5
You add five to the numerator for each 1 you get in the mixed number.
Hope this helps! <3
How do you teach partial product multiplication?
Answers
Partial product multiplication involves breaking down multiplication problems into smaller, manageable parts. It is taught by demonstrating how to multiply each digit of one number by each digit of the other number and then adding the products.
Start with a simple example. For instance, you could use the problem 23 x 4. Write out the problem horizontally with the larger number on top.
Break down the numbers. Look at each digit in the larger number and multiply it by the entire smaller number. For example, 2 x 4 = 8 and 3 x 4 = 12.
Write out the partial products. Write each partial product below the original problem, aligned by the place value of the digit being multiplied. In this case, the partial products are 8 and 12.
Add up the partial products. Add up the partial products to get the final product. In this case, 8 + 12 = 20. So 23 x 4 = 92.
Practice with more examples. Once students understand the process, you can give them more complex problems to solve using partial product multiplication. Make sure to include problems that require carrying over to the next place value.
Reinforce the concept. To help reinforce the concept, you can have students create their own problems to solve using partial product multiplication.
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A line 5y = px - 4 passes through the point (7,2). Find the value of p. 2 Given that the point (-1,q) lies on this line, find the value of q. Explain why the point (2,-3) does not lie on this line. (a) (b) (c)
Answers
Answer:
p=2, q=-1.2
Step-by-step explanation:
Q1. Sub x=7, y=2 into eqn 5y = px-4:
5(2) = p(7)-4
7p-4 = 10
7p = 14
∴ p = 2
Q2. Sub x=-1, y=q, p=2 into eqn 5y = px-4:
5(q) = 2(-1) - 4
5q = -2 - 4
5q = -6
∴ q = -1.2
Let Vector f = ( 4, 3, 7 ) and vector g = (-1, 0, 2) . Which graph shows vector f + vector g
Answers
Represents the vector f + g. C.
The sum of two vectors, we simply add their corresponding components.
In this case,
f + g = (4 - 1, 3 + 0, 7 + 2) = (3, 3, 9)
So the resulting vector has components (3, 3, 9).
Now we need to find the graph that represents this vector.
Graphing a vector in three dimensions can be challenging, but we can use the following method:
Start at the origin (0, 0, 0) of the 3D coordinate system.
Move 3 units in the x-direction, 3 units in the y-direction, and 9 units in the z-direction.
Mark the endpoint of this displacement as the tip of the vector.
Option A has a similar direction, but it is longer than f + g.
Option B has the correct length, but it is pointing in the wrong direction.
Option D is pointing in the correct direction, but it is too short.
We only add the respective components of the two vectors to get their sum.
Thus, f + g = (4 - 1, 3 + 0, 7 + 2) = (3, 3, 9) in this situation.
The resultant vector has three (3), three (3), and nine (9).
We now need to identify the graph that this vector is represented by.
It might be difficult to graph a vector in three dimensions, however we can try the following approach:
Start at the 3D coordinate system's origin (0, 0, 0).
Move three units in the x, three units in the y, and nine units in the z directions.
Make a note of the vector's tip being the terminus of this displacement.
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Circuitville has been selling an average of 22 Intelliphones per day. On August 31 they have an inventory of 110 Intelliphones. Write a linear function modeling the daily inventory. Then use the model to predict the date the store will have to restock if they want to have at least 25 phones in stock at all times.
Answers
The linear function modelling the daily inventory in t days after August 31 is given by:
I(t) = 110 - 22t.
Using the given function, they must restock the store on September 3.
What is a linear function in slope-intercept format?A linear function, in slope-intercept format, is modeled according to the following rule:
y = mx + b
In which:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).In the context of this problem, we have that:
The intercept is of b = 110, as on the reference day, which is of August 31, they have 110 Intelliphones.The slope is of m = -22, as on each day they sell 22 phones, meaning that the amount decays by 22.Thus the model is given as follows:
I(t) = 110 - 22t.
They must have at least 25 phones in stock at all times, hence:
I(t) >= 25
110 - 22t >= 25
22t <= 85
t <= 85/22
t <= 3.86.
Rounding down, as after 4 days they would have less than 25 phones, they must restock the store on September 3, which is 3 days after August 31.
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PLS HELP NOW IM TIMED WILL GIVE BRAINLEST
What are dot plots best used for?
A:Dot plots are best used to show a distribution of data.
B: Dot plots are best used to show answers to a non-statistical question.
C: Dot plots are best used to help you ask questions.
D: Dot plots are best used to help you tally data.
Answers
Answer:
A: Dot plots are best used to show a distribution of data. You use dot plots in coordinate graphs. If you're wondering why my previous answer was deleted, it's because it was "incomplete". So, I had to make a new one. Brainly admins always delete things that have nothing wrong with it, but they don't care about the things that are inappropriate.
For the first four hours of the day, the arrival rate at the gas station is 18 vehicles per hour. The gas station is capable of serving 16 vehicles per hour. The last vehicles arrives exactly four hours after the start of the day. Assume that the system is empty at the start and that no vehicle who arrives leaves without being served.
How long will that vehicles be in the gas station (in hours)?
Note: Round your answer to 2 decimal places.
Answers
The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.
To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.
Given:
Arrival rate: 18 vehicles per hour
Service rate: 16 vehicles per hour
Time: 4 hours
First, let's calculate the total number of vehicles that arrive during the 4-hour period:
Total number of vehicles = Arrival rate * Time
= 18 vehicles/hour * 4 hours
= 72 vehicles
Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:
Time to serve all vehicles = Total number of vehicles / Service rate
= 72 vehicles / 16 vehicles/hour
= 4.5 hours
Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.
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5a) Determine the measure of each unknown angle
Answers
Answer:
Step-by-step explanation:
25, i think
the length of a rectangular plot of land exceeds the width by 7 m if the area pf the plot is 198 m square what is the length
Answers
Answer:
28.142m
Step-by-step explanation:
area of rectangle=width x lenght
so; (rotating the formula with what is given)
area of rectangle/width=lenght
197/7=lenght
28.142m =lenght
Answer:
Length is 18 m and width is 11 m
Step-by-step explanation:
So based on the information given length is seven cm more than your width, and since we don’t know the values of these, we can plot this information into a formula that looks like this: (x+7)(x)=198, which is basically how you take the area of the plot of land.
If you multiply your values, you will get a quadratic equation that looks like this x²+7x-198. If you follow the quadratic formula to solve this equation, the positive result you will get for x is 11, this is your width. And since length exceeds by 7, you just add 7 to 11 to find the length, which ends up being 18.
to verify, you can simply multiply these two values
Find the surface area of the triangular prism. ______ square centimeters
Answers
Step-by-step explanation:
there is answer in the image above
PLZ HELP NEED ASAP!!!!!!!! will give brainliesst!!!
Answers
Use Pythagoras
18^2 +b2=30^2
325+b^2=900
(Rearrange to make b^2 subject)
B^2=900-325
B^2=576
Square root 576
=24
Sara left a bin outside in her garden to collect rainwater. she notices that 1 over 8 gallon of water fills 2 over 3 of the bin. write and solve an equation to find the amount of water that will fill the entire bin. show your work. explain your answer in words.
Answers
The amount of water that will fill the entire bin is 16/3 gallons.
Given: 1 over 8 gallon of water fills 2 over 3 of the bin.
Let's assume that the bin has a capacity of V gallons of water. Therefore, we need to find the amount of water that will fill the entire bin.
To write an equation, we know that: 1 over 8 gallon of water fills 2 over 3 of the bin.
Then, we can write the equation as: 1 over 8 V = 2 over 3V/8 = 2/3
Simplifying the above equation we get: V = (8 x 2) / (3 x 1) = 16 / 3 gallons
Hence, the amount of water that will fill the entire bin is 16/3 gallons.
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Vision Source has a pair of glasses that are 20% more than the same pair of glasses at ABC Eye. If the glasses are $85 at ABC Eye, then how much more will you pay at Vision Source?
Answers
Answer:
the answer is $102
Step-by-step explanation:
because %20 is equal to $17
is the magnitud eof a vector different in different coordinate systems
Answers
The magnitude of a vector is not dependent on the coordinate system. Rather, it is a measure of the vector's length. It is calculated using the Pythagorean theorem, which is independent of the coordinate system used.
When working with vectors in different coordinate systems, it is important to keep in mind that the components of the vector may vary depending on the system. The magnitude, on the other hand, remains constant. In vector calculus, vectors play a vital role. Vectors are mathematical entities that are used to represent physical quantities with both magnitude and direction. These quantities include velocity, force, and displacement, among others. The magnitude of a vector is a measure of its length, whereas the direction is the angle between the vector and some fixed reference line. The magnitude of a vector is not dependent on the coordinate system. Rather, it is a measure of the vector's length. It is calculated using the Pythagorean theorem, which is independent of the coordinate system used. When working with vectors in different coordinate systems, it is important to keep in mind that the components of the vector may vary depending on the system. The magnitude, on the other hand, remains constant. This is due to the fact that the Pythagorean theorem, which calculates the magnitude of a vector, is independent of the coordinate system used. To summarize, the magnitude of a vector is not dependent on the coordinate system used, while the components of the vector may vary. It is important to keep this in mind when working with vectors in different coordinate systems.
The magnitude of a vector is a measure of its length, and it is independent of the coordinate system used. The components of the vector may vary depending on the system, but the magnitude remains constant. When working with vectors in different coordinate systems, it is important to keep in mind that the Pythagorean theorem, which calculates the magnitude of a vector, is independent of the coordinate system used.
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The price of bananas went from $0.20 per lb to $0.60 per lb in four years. Find the rate of change of the price of bananas.
Answers
Answer:10¢ per year
Step-by-step explanation:every year that pass the bananas price rose by 10¢
To study the effect of mindfulness meditation on mental health, an experimental investigation was done by comparing serum cortisol (as an indicator of stress level) between 2 groups of medical students who volunteered to participate in the study. Group 1 took a 4- day meditation program, while Group 2 did not. Volunteers from both groups then had a blood test and their serum cortisol was measured in nmol/L. Results were as follows: Group 1: 267 245 263 316 246 282 379 300 291 306 425 190 346 150 344 Group 2 470 222 443 506 455 518 360 408 375 246 189 368 Do the results support the hypothesis that meditation helps reduce stress level, with 95% confidence? You must properly identify and follow all the necessary steps for this investigation (Hint: for comparing variances, you can use 98% confidence.)
Answers
The results of the study suggest that the 4-day meditation program had a significant effect in reducing the stress levels of the medical students compared to the group that did not participate in the meditation program.
To determine if the results support the hypothesis that meditation helps reduce stress levels, we need to perform the necessary statistical analysis. Here are the steps involved:
Step 1: Define the hypothesis:
The null hypothesis (H₀) is that there is no significant difference in stress levels between the two groups.
The alternative hypothesis (Hₐ) is that there is a significant difference in stress levels between the two groups, with meditation reducing stress.
Step 2: Identify the appropriate statistical test:
Since we are comparing the means of two independent groups and want to test if there is a significant difference, we can use an independent samples t-test.
Step 3: Set the significance level:
The significance level (α) is the probability of rejecting the null hypothesis when it is true. In this case, we will use a significance level of 0.05, corresponding to a 95% confidence level.
Step 4: Calculate the sample statistics:
Calculate the means, standard deviations, and sample sizes for both groups.
Group 1:
Mean (x1) = (267 + 245 + 263 + 316 + 246 + 282 + 379 + 300 + 291 + 306 + 425 + 190 + 346 + 150 + 344) / 15 = 290.2
Standard deviation (s1) = 70.764
Sample size (n1) = 15
Group 2:
Mean (x2) = (470 + 222 + 443 + 506 + 455 + 518 + 360 + 408 + 375 + 246 + 189 + 368) / 12 = 377.5
Standard deviation (s2) = 109.057
Sample size (n2) = 12
Step 5: Conduct the statistical test:
We can now perform an independent samples t-test using the sample statistics.
Step 5a: Test for equal variances:
Before conducting the t-test, we need to check if the variances of the two groups are equal. We can use a F-test to compare the variances.
Null hypothesis (H₀): The variances of the two groups are equal.
Alternative hypothesis (Hₐ): The variances of the two groups are not equal.
Using a significance level of 0.02 (98% confidence), we can calculate the F-statistic and compare it to the critical F-value from the F-distribution table.
F = s1² / s2² = 70.764² / 109.057² = 0.428 (approximately)
The critical F-value for a 98% confidence level with (n1-1) = 14 and (n2-1) = 11 degrees of freedom is 3.72.
Since our calculated F-value is smaller than the critical F-value, we fail to reject the null hypothesis. Thus, we can assume equal variances.
Step 5b: Conduct the t-test:
Since the variances are assumed to be equal, we can perform the independent samples t-test using the sample means and pooled standard deviation.
Pooled standard deviation (sp) = √(((n1 - 1) × s1² + (n2 - 1) × s2²) / (n1 + n2 - 2)) = √(((15 - 1) × 70.764² + (12 - 1) × 109.057²) / (15 + 12 - 2)) = 90.362
t = (x1 - x2) / (sp × √(1/n1 + 1/n2)) = (290.2 - 377.5) / (90.362 × √(1/15 + 1/12)) = -2.227
Degrees of freedom (df) = n1 + n2 - 2 = 15 + 12 - 2 = 25
Using the t-distribution table or a statistical software, we can find the critical t-value for a two-tailed test at a significance level of 0.05 with 25 degrees of freedom. The critical t-value is approximately ±2.060.
Since our calculated t-value (-2.227) is smaller than the critical t-value (-2.060), we reject the null hypothesis and accept the alternative hypothesis. Therefore, there is evidence to support the claim that mindfulness meditation helps reduce stress levels, with a 95% confidence level.
In conclusion, the results of the study suggest that the 4-day meditation program had a significant effect in reducing the stress levels of the medical students compared to the group that did not participate in the meditation program.
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Write 8 x 10^-2
in standard notation.
Answers
Answer:
0.08
Step-by-step explanation:
hope that helps :)
use the divergence theorem to compute the net outward flux of the field f across the surface s, where s is the boundary of the tetrahedron in the first octant formed by the plane xyz.
Answers
The net outward flux across the boundary of the tetrahedron is 5, using the concept of the gradient of a function.
The gradient function in a vector field
The gradient function is related to a vector field and it is derived by using the vector operator ∇ to the scalar function f(x, y, z). The gradient is a fancy word for derivative or the rate of change of a function. It's a vector (a direction to move) that. Points in the direction of greatest increase of a function are zero at a local maximum or local minimum because there is no single direction of increase
Vector field:
F = ( -x, 3y, 2 z )
Δ . F = (i δ/δx + j δ/δy + k δ/δz) (-x, 3y, 2 z )
Δ . F = [δ/δx(-x)] + δ/δy (3y) + δ/δz (2z)]
Δ . F = - 1 + 3 + 2
Δ . F = 4
According to divergence theorem
Divergence Theorem
The divergence theorem states that the surface integral of the normal component of a vector point function F over a closed surface S is equal to the volume integral of the divergence. F took over the volume V enclosed by the surface S. The divergence theorem says that when adding up all the little bits of outward flow in a volume using a triple integral of divergence, the total outward flow from that volume, as measured by the flux through its surface.
Flux = ∫∫∫ Δ. (F) DV
x+ y +z = 1; so, 1st octant
x from 0 to 1
y from 0 to 1 -x
z from 0 to 1-x-y
∫₀¹∫₀¹⁻ˣ∫₀¹⁻ˣ⁻y (4) dz dy dx
= 4 ∫₀¹∫₀¹⁻ˣ (1 - x - y) by dx
= 5
Therefore, conclude that the net outward flux across the boundary of the tetrahedron is 5
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On another planet, the isotopes of titanium have the given natural abundances. What is the average atomic mass of titanium on that planet? average atomic. mass \( = \)
Answers
Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.
To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.
Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:
Isotope Natural Abundance
Titanium-46 70%
Titanium-47 20%
Titanium-48 10%
To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.
Average Atomic Mass of Titanium:
(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)
=(32.2amu)+(9.4amu)+(4.8amu)
=46.4amu
Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).
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Ms. Alder rents a car for her business. She may drive it up to 5,000 miles per month without paying a penalty. So far this month, she has made 3 trips, each 1,247 miles. Can she make this same trip one more time this month? Choose the correct answer and explanation.
Answers
Answer:
Yes, she can make this same trip one more time this month
Step-by-step explanation:
Here, we want to know if she can make the same trip one more time this month without paying a penalty
Mathematically, since the trip is same distance at all times
For a maximum of 4 trips, the distance per trip will be 5,000/4 = 1,250 miles
Since 4 * 1247 will definitely be less than 5,000;
this means that she can take a fourth trip in that month since she would not have exhausted the 5,000 miles without fine
Help please it would mean a lot
Answers
Answer:
2. (x^2 + 3y)(x^2 - 3y)
Step-by-step explanation:
According to algebraic formula:
x^2 - y^2 = (x + y)(x - y)
We have x^4 - 9y^2 => (x^2)^2 - (3y)^2
=> (x^2 + 3y)(x^2 - 3y) or (x^2 - 3y)(x^2 + 3y)
Answer:
(2) (x²-3y)(x²+3y)
Step-by-step explanation:
x⁴-9y²
Factor/GCF:
x⁴ = (x²)(x²)
-9y² = (-3y)(3y)
Combine:
(x²-3y)(x²+3y)