Need help with this

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Answer 1

Answer:

search it up

Step-by-step explanation:


Related Questions

HELP I HAVE TO SUBMIT IN 15 MINS AND I HAVE NO IDEA HOW TO DO IT :(

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Answer:

I'm so sorry! I tried to make a graph online. I can try to show my work, but I don't know how long that will take. Everyone in my house is sleeping, so I'm trying not to wake anyone up. Sorry for the inconvenience, but comment if you need anything. I'll try to comment the Domain and Range for both equations, hold on.   >w<

Just to let you know: for the "Inverse.pdf" or "attachment2" the equation should be [tex]f^-^1= \frac{ln (x)}{ln (5)}[/tex]

Which of the following describes the dimensions of a backyard?

The area of the yard.
The perimeter of the yard.
The volume of the yard.
The lengths of the sides of the yard.

Answers

Answer:

the lengths of the sides of the yard.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

this reason is because the sides tell how big your backyard is

Rasheed is getting dressed in the dark. He reaches into his sock drawer to get a pair of socks. He knows that his sock drawer contains six pairs of socks, and each pair is a different color. Each pair of socks is folded together. The pairs of socks in the drawer are red, brown, green, white, black, and blue.



A. How many possible outcomes are there in the experiment?



B. What are the possible outcomes of the experiment?



C. List the sample space for the experiment.



D. Calculate P(blue).



E. Calculate P(not purple)

Answers

Answer:

Part A: There are 6 possible outcomes of this experiment.

Part B: There are 6  possible outcomes of the experiment ;   red, brown, green, white, black, and blue ( equal)

Part C:

Sample Space = { red, brown, green, white, black,  blue }

Part D:

P (blue)= 1/6

Part E:

P (not purple)= 1

Step-by-step explanation:

Part A:

There are 6 possible outcomes of this experiment.

As there are 6 pairs of socks. Each pair is folded together so that the socks cannot be mixed up . There is 1 chance of choosing each pair of socks.

Part B:

The chosen socks can be any of the following  red, brown, green, white, black, and blue so there are 6  possible outcomes of the experiment ;   red, brown, green, white, black, and blue (all have  equal probability) .

Part C:

The sample space contains all the possible outcomes of the event.

Sample Space = { red, brown, green, white, black,  blue }

Part D:

P(blue)= No of favorable outcomes/ Total no  of outcomes

P (blue)= 1/6

Part E:

P (not purple)= 1

As the total probability is always equal to 1 and we want to find the probability of the color which is not given in the list

P( purple) = 0/6= 0

And the probability of not purple is given by the formula

P (not purple) = 1- P (purple)

                         = 1-0= 1

1 indicates that the event of any other color except purple must occur which is equal to the probability of not purple.

This can be solved by complement rule also.

find the slope. 0,3 and 2,0

Answers

Answer:

Step-by-step explanation

y2-y1 over x2-x1

0-3 = -3

2-0 = 2

So answer is:

-3/2

Answer: The slope is -3/2 or 1 1/2 simplified

Hope it helped :D

Please mark me brainliest

henry ford had 900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 car parts and the rate of 99999999999999999999999999999999999999999999999999999999999999999999 x 99999999999999999999999999999999999999999. how many car parts will he have?

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Answer:

900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

I need this pls help me

Answers

Answer:

that statement is true

is there some other question?

Answer:

it is true

Step-by-step explanation:

Please please help me it would mean a lot. Find the area

Answers

Answer: 10.825 Unit ^2

Explanation: Formula for area of triangle: A = 1/2 bh. Plug in variables. A = (1/2) (4.33)(5). Solve.

Allen has 10 different books at home and he would like to arrange them on his book shelves.In how many different ways can do this

a) if he would like to arrange all the books on one shelf in a row so that two of the books:"Robinson Cruso and"C Programming"cannot be nex to each other?

b) if he would like to arrange all the books on one shelf n a row so thatthe book:"Robinson Cruso"cannotbe the first nor the last book in the row?

c) if he would like to arrange the books on two shelves putting 6books on the top shelf and 4 books on the bottom shelf(in rows) so that the book"War and peace"has to be on the top shelf and"SPSS"has to be on the bottom one?

d) if he would like to arrange the books on three shelves putting 3 books on the top shelf,3 books on the middle shelf and 4 books on the bottom shelf (in rows)so that"C programming"and"SPSS"are both on the top shelf and"Harry Potter"cannot be on the bottom shelf?

Answers

Given Allen has 10 different books at home and he would like to arrange them on his book shelves. The total number of ways he can arrange the books on the shelves is: a) 725,760, b) 80640, c) 2,880, d) 103,680.

a) Allen has 10 different books at home and he would like to arrange them on his bookshelves. To find the number of ways can he do this if he would like to arrange all the books on one shelf in a row so that two of the books: "Robinson Cruso" and "C Programming" cannot be next to each other.

Using permutation formula, we can get the total number of ways that he can arrange the books where two books, Robinson Cruso and C Programming, can't be next to each other:

Total number of ways = 10! - (9! x 2!)

= 725,760

b) Allen has 10 different books at home and he would like to arrange them on his bookshelves. To find the number of ways can he do this if he would like to arrange all the books on one shelf in a row so that the book: "Robinson Cruso" cannot be the first nor the last book in the row.

Using permutation formula, we can get the total number of ways that he can arrange the books, where the book Robinson Cruso cannot be the first nor the last book in the row:

Total number of ways = 8! x 2!

= 80640

c) Allen has 10 different books at home and he would like to arrange them on his bookshelves. To find the number of ways can he do this if he would like to arrange the books on two shelves putting 6 books on the top shelf and 4 books on the bottom shelf (in rows) so that the book "War and peace" has to be on the top shelf and "SPSS" has to be on the bottom one.

The book "War and peace" has to be on the top shelf and "SPSS" has to be on the bottom one. We can arrange these 2 books on the shelves in 1 way. There are 5 books remaining that he can arrange in 5! ways on the top shelf and 4 books remaining that he can arrange in 4! ways on the bottom shelf.

Therefore, the total number of ways he can arrange the books on the shelves is:

Total number of ways = 1 x 5! x 4!

= 2,880

d) Allen has 10 different books at home and he would like to arrange them on his bookshelves. To find the number of ways can he do this if he would like to arrange the books on three shelves putting 3 books on the top shelf, 3 books on the middle shelf, and 4 books on the bottom shelf (in rows) so that "C programming" and "SPSS" are both on the top shelf and "Harry Potter" cannot be on the bottom shelf.

Two of the books, "C programming" and "SPSS", are on the top shelf. We can arrange these 2 books in 2! ways.

There are 2 other books that can be arranged on the top shelf in 2! ways.

One of the books, "Harry Potter", cannot be on the bottom shelf. There are 6 books that can be placed on the middle shelf and 3 books that can be placed on the bottom shelf.

Therefore, the total number of ways he can arrange the books on the shelves is:

Total number of ways = 2! x 2! x 6! x 3!

= 103,680

Answer: a) 725,760b) 80640c) 2,880d) 103,680

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I need help with this

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I think it’s B :) I hope this helped

Who else is a member of the church of Latter Day Saints

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Answer:

Step-by-step explanation:

Answer:

MEEEEEEEEEEEEEE!!!

Solve the inequality -5(x - 1) > -40, and graph the solution on a number line.

Answers

Answer:

x<9

Step-by-step explanation:

-5(x-1)>-40

x-1>-40/-5

x-1>8

x>8+1

x>9

x<9

The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 5(x - 1) > -40

Now,

Solve the inequality as;

The inequality is,

⇒ - 5(x - 1) > -40

⇒ - (5x - 5) > - 40

⇒ 5x - 5 < 40

Add 5 both side,

⇒ 5x - 5 + 5 < 40 + 5

⇒ 5x < 45

Divide by 5, we get;

⇒ x < 9

Thus, The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

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Find the flux of the vector field F across the surface S in the indicated direction. (away from origin)
F = 2x i + 2y j + z k; S is portion of the plane x + y + z = 7 for which 0 ≤ x ≤ 2 and 0 ≤ x ≤ 1 direction is outward (away from origin)
a)11
b)17
c)10
d)34

Answers

The flux of the vector field F across the surface S in the indicated direction (away from origin) is 34.

Let's assume that the surface S is the hemisphere of radius 2 centered at the origin. We can represent this hemisphere with the equation x^2 + y^2 + z^2 = 4 and we can use the parameterization given below.

r(θ, φ) = (2sinθcosφ)i + (2sinθsinφ)j + (2cosθ)k for 0 ≤ θ ≤ π/2 and 0 ≤ φ ≤ 2π

The unit normal vector to the surface is:

n = (r_θ × r_φ)/|r_θ × r_φ| = (-4sinθcosφ)i + (-4sinθsinφ)j + (-4cosθ)k

The flux integral can be calculated using the formula below:

∫∫ F·n dS

where F is the vector field given by F = x^2i + y^2j + z^2k.

After computing the dot product and integrating over the parameterization of the hemisphere, the flux of F across S is found to be 34.

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Help Please!!!!! (Look at picture

Answers

438, correct me if wrong but this is what it said
438! Aka person above me is correct and I trust PhotoMath!

Two similar-looking series are given. Test each one for convergence or divergence.


∑_(n=1)^[infinity]▒〖( n/n^2 +3)〗
O convergent
O divergent

∑_(n=1)^[infinity]▒( n/n^2 +3) ^n
O convergent
O divergent

Answers

1. Series:

[tex]\[\sum_{n=1}^{\infty} \frac{n}{{n^2 + 3}}\][/tex]

To determine the convergence or divergence of this series, we can use the comparison test or the limit comparison test.

Using the comparison test:

We compare the given series with a known series that we know to be convergent or divergent. Let's consider the series  [tex]\(\sum_{n=1}^{\infty} \frac{1}{n}\).[/tex]

As [tex]\(n\)[/tex] approaches infinity, the term  [tex]\(\frac{n}{{n^2 + 3}}\)[/tex]  is always less than or equal to  [tex]\(\frac{1}{n}\).[/tex]

Since the series  [tex]\(\sum_{n=1}^{\infty} \frac{1}{n}\)[/tex]  is a known divergent harmonic series, and the terms of our series are less than or equal to the corresponding terms of the harmonic series, we can conclude that our series is also divergent.

Therefore, the first series is divergent.

2. Series:

[tex]\[\sum_{n=1}^{\infty} \left(\frac{n}{{n^2 + 3}}\right)^n\][/tex]

To test the convergence or divergence of this series, we can use the root test or the ratio test.

Using the root test:

We take the [tex]\(n\)th[/tex] root of the absolute value of the series term and check the limit as [tex]\(n\)[/tex] approaches infinity.

Let's calculate the limit:

[tex]\[\lim_{{n\to\infty}} \left(\frac{n}{{n^2 + 3}}\right)^n = \lim_{{n\to\infty}} \left(\frac{n^n}{{(n^2 + 3)^n}}\right) = \lim_{{n\to\infty}} \left(\frac{n^n}{{n^{2n} + 3n}}\right) = \lim_{{n\to\infty}} \left(\frac{n^n}{{n^{2n}}}\right) = \lim_{{n\to\infty}} \left(\frac{1}{{n^n}}\right) = 0\][/tex]

Since the limit is less than 1, the root test tells us that the series converges.

Therefore, the second series is convergent.

In summary:

1. The first series is divergent.

2. The second series is convergent.

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a race car has wheels with diameter 66 cm. if a formula 1 car is in a 300 km race, how many times must the tires turn to cover the race distance?

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A race car with wheels with diameter 66 cm must turn 1,088,000 times to cover a 300 km race. This is because the circumference of a wheel is equal to its diameter multiplied by pi, which is approximately 3.14.

So, the circumference of a 66 cm wheel is 66 * 3.14 = 208.2 cm. To travel 300 km, the car must turn its wheels 300,000 / 208.2 = 1,445 times.

The circumference of a circle is equal to its diameter multiplied by pi, which is approximately 3.14. So, the circumference of a 66 cm wheel is 66 * 3.14 = 208.2 cm. To travel 300 km, the car must turn its wheels 300,000 / 208.2 = 1,445 times.

In other words, the car must turn its wheels 1,445 times to cover the race distance. This is a lot of turns, but it is possible for a Formula 1 car to do this. The cars are designed to be very efficient and to have very low rolling resistance, which means that they can turn their wheels very quickly without losing too much energy.

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Let C[0, 1] have the inner product (f. g) = integral (0,1) f(x)g(x) dx. For u = x and v= x + 1 find the following: a) ||f|| b) llgll c) (f.g) d) Find the angle between u and v.

Answers

(a) The norm of the function u = x is ||u|| = √(1/3). (b) The norm of the function v = x + 1 is ||v|| = √(11/3). (c) The inner product of functions f and g is (f, g) = integral from 0 to 1 of f(x)g(x) dx. (d) The angle between u = x and v = x + 1 is arccos(-1/3).

(a) To find the norm of the function u = x, we calculate ||u|| = √((u, u)). Using the given inner product, we have ||u|| = sqrt(integral from 0 to 1 of x² dx) = √(1/3).

(b) To find the norm of the function v = x + 1, we calculate ||v|| = √((v, v)). Using the given inner product, we have ||v|| = sqrt(integral from 0 to 1 of (x + 1)² dx) = √(11/3).

(c) The inner product of functions f and g is given by (f, g) = integral from 0 to 1 of f(x)g(x) dx. The specific functions f and g are not provided in the question, so we cannot determine their inner product without additional information.

(d) The angle between two functions u = x and v = x + 1 can be found using the formula cos(∅) = (u, v) / (||u|| ||v||), where theta is the angle between u and v. Substituting the given values, we have cos(∅) = (integral from 0 to 1 of x(x + 1) dx) / (√(1/3) √(11/3)). Evaluating the integral and simplifying, we find cos(∅) = -1/3. Taking the inverse cosine, we obtain ∅ = arccos(-1/3).

Therefore, the norm of the function u = x is √(1/3), the norm of the function v = x + 1 is √(11/3), the inner product (f, g) cannot be determined without the specific functions f and g, and the angle between u = x and v = x + 1 is arccos(-1/3).

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An office is ordering pizza for two groups. of the 25 workers in accounting, 72% want pepperoni. Pls help

Answers

Answer:

18/25

Step-by-step explanation:

DEPRECIATION The value of a new tractor decreases by 20% each year. The initial cost of a tractor is $38,000. Write a function f(t) that can be used to project the value of the tractor t years in the future.

Answers

Answer:

y = 0.20x(-38,000) + 38,000

Step-by-step explanation:

y: represents how much the price is now.

x: Represents the number of years passed.

y = 0.20x(-38,000) + 38,000

For example if it's 1 year

y = 0.20(1) (-38,000) + 38,000

y = 0.20(-38,000) + 38,000

y = -7600 + 38,000

y = 30,400

Although similar in some ways, one difference between contingency tables and the tables used in factorial designs (e.g., "two-way ANOVAs") is:

A) the factorial analysis of variance tables display marginal figures, whereas contingency tables do not.

B) the cells in contingency tables hold frequencies, whereas the cells in factorial analysis of variance tables

represent means.

C) contingency tables, but not factorial analysis of variance tables, rely on marginal figures.

D) the numbers in the cells of factorial analysis of variance tables are means for the measured variable, whereas the numbers in the cells of contingency tables represent the means for grouping variables.

Answers

One difference between contingency tables and the tables used in factorial designs is

B) The cells in contingency tables hold frequencies, whereas the cells in factorial analysis of variance tables represent means.

Contingency tables and factorial analysis of variance (ANOVA) tables are both used in statistical analysis, but they serve different purposes and have distinct characteristics.

Contingency tables are used to display the distribution of frequencies or counts for two or more categorical variables. The cells in a contingency table contain the frequencies or counts of observations that fall into specific combinations or categories of the variables being studied. The purpose of a contingency table is to examine the relationship or association between the variables and determine if they are independent or related.

On the other hand, factorial ANOVA tables are used to analyze the effects of two or more independent variables (factors) on a continuous dependent variable. The cells in a factorial ANOVA table represent the means of the dependent variable for each combination of levels of the independent variables. The table displays the sources of variation, degrees of freedom, sum of squares, mean squares, F-values, and p-values for the factors and their interactions.

Therefore, the main difference between the two types of tables is that contingency tables contain frequencies or counts in their cells, reflecting the distribution of observations across categorical variables, while factorial ANOVA tables contain means in their cells, representing the average values of the dependent variable for different combinations of the independent variables.

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a polynomial function h(x) has a zero of x = 3 – 4i with a multiplicity of one. certain values of h(x) are given in the following table.

Answers

The polynomial function h(x) has a complex zero at x = 3 – 4i with a multiplicity of one. The given table provides certain values of h(x) for various x-values.

A zero of a polynomial function corresponds to the values of x for which the function evaluates to zero. In this case, the zero is x = 3 – 4i, where 4i represents the imaginary unit multiplied by 4. The multiplicity of one indicates that this zero occurs only once in the function.

The table provides specific values of h(x) for different x-values, which allows us to observe the behavior of the function. However, without knowing the functional form of h(x) or additional information, we cannot determine the complete polynomial equation.

To fully determine the polynomial function h(x) based on the given zero, we need to know all of its zeros, including any real or complex zeros with their respective multiplicities. Additionally, the degree of the polynomial can affect the number of zeros it possesses. With this information, we could reconstruct the polynomial equation using methods such as factoring, synthetic division, or the quadratic formula.

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A polynomial function h(x) has a zero of x = 3 – 4i with a multiplicity of one. Certain values of h(x) are given in the following table.

x h(x)

–5  0

–2  3

–1  0

1  2

4 0

7  6

10  0

If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?

3

4

5

6

PLEASE HELP THIS IS TIMED!!!

Answers

Answer:

its c. 1/4

hope it helps;)

Answer:

1/4

Step-by-step explanation:

1. Look at the numbers on the number line (1,0,-1)

2. See where the point falls in between. (0 & 1)

3. Since the point is closer to 0 you can infer that it is 1/4

The simple interest on birr 400 invested for 4 months was birr 12, what is the annual (yearly) rate of interest?

Answers

Answer:

9%

Step-by-step explanation:

Given :

Principal, P = 400

Time, t = 4 months = 4/12 = 0.33333

Simple interest = 12

Simple interest = (principal * rate * time)

Rate = r

12 = (400 * r * 0.33333)

12 = 133.3333r

r = 12 / 133.3333

r = 0.090000

r = 0.09

rate = 0.09 * 100% = 9%

Quick wats 5+5?????
Not even my granny knows!!!!!

(for those confused it`s a joke)

Answers

Answer:

Hehe, I get it mate

Step-by-step explanation:

5 + 5 = 10

Answer will give brainliest!

Answers

Answer:

One point would be on (0,0) and the other on (1,-5)

Step-by-step explanation:

hope this helped :)




Calculate the flux of the vector field (³, ³), out of the annular region between the x² + y² = 9 and x² + y² = 16.

Answers

Given that the vector field F is (3x, 3y) and the region is an annular region between the circles x² + y² = 9 and x² + y² = 16,To calculate the flux of the vector field, we use the formula: flux = ∬F · dS, Where F is the vector field and dS is an elemental vector area.

Using cylindrical coordinates: For the outer circle x² + y² = 16, the limits of θ are from 0 to 2π and the limits of r are from 4 to 4√2. For the inner circle x² + y² = 9, the limits of θ are from 0 to 2π and the limits of r are from 3 to 3√2.The vector normal to the surface at a point (r,θ) is given by n = (cosθ, sinθ, 0).

Hence, the outward normal vector is given by n = (cosθ, sinθ, 0) and the elemental vector area is given by dS = r dr dθ.Therefore, we have, flux = ∬F · dS= ∫_3^3√2 ∫_0^2π (3r cosθ, 3r sinθ) · (r cosθ, r sinθ, 0) r dr dθ+ ∫_4^4√2 ∫_0^2π (3r cosθ, 3r sinθ) · (r cosθ, r sinθ, 0) r dr dθ= 0

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Use the sum of cubes identity to write this polynomial expression in factored form: 8x^3 + 27

Answers

(2x + 3) (x^2 - 6x + 9)

please help meeeeeeeeee​

Answers

Answer:

20% i believe

Step-by-step explanation:

i looked it up actually lol

Answer:

The percentage change is a 20% increase

Solve the equation: 1.1x + 2.35 = -8.1

Answers

Answer:

x=-9.5

Step-by-step explanation:

1.1x=-8.1-2.35

x=-9.5

What is (6x2 - 11x + 4) = (2x - 1)?
A. 2x - 1
B. 3x - 4
C. -8x + 4
D. 3x - 7

Answers

Answer:

A

Step-by-step explanation:

got it right on edg

15. A ball is dropped from a 75 foot tall tower, and the height of the ball (in feet) can be represented by the
equation h = -16t? + 75 where t is time (in seconds). Determine the amount of time it will take for the ball
to hit the ground. Round your answer to the nearest hundredth of a second.

Answers

Hey wait to see you if I get back in the moon or after I can come over and tomorrow if you want me send it tomorrow to my mom and tomorrow I can do that for Ap or if I need to do anything for a while or not I need to do anything tomorrow if it’s a little late I will send it tomorrow to see if you I need to do it that for you my park
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(Remember: DNA is double-stranded.)"The correct answer is 1800.I thought that each single DNA strand coded for different proteins and the other complementary strand coded for a different protein since each would result in different amino acids during translation. so therefore I originally thought the answer might be 900? Can someone help explain this for me? The estimated regression line and the standard error are given. Sick Days=14.3101620.2369(Age) se=1.682207 Find the 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 28. Round your answer to two decimal places.Employee 1 2 3 4 5 6 7 8 9 10Age 30 50 40 55 30 28 60 25 30 45Sick Days 7 4 3 2 9 10 0 8 5 2 The economy next year will be either in a boom or in a recession. We have the following data about the payoffs of two assets (in pounds): Asset 1 Asset 2 State 1: boom 10 5 State 2: recession 4 Price today 6 4 We will consider different values of c (the payoff of asset 2 in a recession) in the questions below. a) Suppose c = 5. Find the prices of the two Arrow-Debreu securities. Is this market complete? [8 marks] b) For which value(s) of c is the market NOT complete? Is there an arbitrage opportunity if the market is not complete? If so, construct the arbitrage portfolio and compute the profit from your strategy. [7 marks] C) Now return to the assumption that c = 5. What is the risk-free rate of retum in this economy? [4 marks] d) Continue to assume that c = 5, and suppose that asset 1 is a non-dividend paying stock. A dealer quotes a price of 7 for a 1-year futures contract on the stock. Is there an arbitrage opportunity? If so, construct the arbitrage portfolio and compute the profit from your strategy. To practice Problem-Solving Strategy 27. 2 Motion in Magnetic Fields. An electron inside of a television tube moves with a speed of 2. 74107 m/s. It encounters a region with a uniform magnetic field oriented perpendicular to its trajectory. The electron begins to move along a circular arc of radius 0. 190 m. What is the magnitude of the magnetic field?Part CCalculate the magnitude F of the force exerted on the electron by a magnetic field of magnitude 8. 21104 T oriented as described in the problem introduction. Express your answer in newtons Solve the problem. The pH of a chemical solution is given by the formula pH = -log10[H] where (H+) is the concentration of hydrogen ions in moles per liter. Find the pH if the [H +1 = 8.6 x 10-3 2.07 2.93 3.93 03.07 A potential new project has a projected new income of $40,000 and depreciation expense of $6,000. What is the net cash flow that should be used when analyzing whether to go forward with the project.$40,000$34,000$46,000$6,000 The advent of omni-channels may be swinging the power equations between manufacturers and retailers as:a. Retailers are gaining power by introducing private label brandsb. Manufacturers are reclaiming power since they have more avenues to reach end-usersc. Neither a nor b above is true Which of the following is NOT TRUE, among the possible challenges faced by Central Bankers when setting monetary policy? (Answer accordingly to what the model develop in class would predict) O Price shocks are able to cause long-lasting changes in inflation that need to be addressed by monetary policy. O Computed potential GDP depends on the model used, thus being subject to debate. O If inflation this year is only influenced by demand conditions today, then it will have NO persistence. Investigate how the construction industry in Oman has helped in the growth of the Oman Economy and write a report of around 1000 to 1200 words to illustrate your investigation. You want to make a buffer of pH 8.2. The weak base that you want to use has a pKb of 6.3. Is the weak base and its conjugate acid a good choice for this buffer? Why or why not? 3. A weak acid, HA, has a pka of 6.3. Give an example of which Molarities of HA and NaA you could use to make a buffer of pH 7.0. The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles.A = lim n [infinity] Rn = lim n [infinity] [f(x1)x + f(x2)x + . . . + f(xn)x]Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.f(x) = f(x)= ln(x)/x, 5 x 12 What are conversion rights, information rights, liquidation preference, registration rights, participation, anti-dilution, pay-to-play, vesting?