Find the value of x.
helllppp
tysm

Find The Value Of X.helllppp Tysm

Answers

Answer 1

Answer:

Step-by-step explanation:

Find The Value Of X.helllppp Tysm

Related Questions

The function f and g are given by [tex]f(x)=x^2[/tex] and [tex]g(x)=-^1_2 x+5[/tex].

Let R be the region bounded by the x-axis and the graphs f and g as shown at the bottom. Also, I only need you to answer part b, I've already finished part a.


a) Describe how you would find the area of R.


[tex]R=18 \frac{2}{3}[/tex]


b) The region R is the base of a solid. For each y, where
0 < y < 4, the cross-section of the solid taken perpendicular to the y-axis is a rectangle whose base lies in R and whose height is 3y. Explain how you would write an expression that gives the volume of the solid.

Answers

As you've pointed out, R is a different region that I originally thought. The area of R can be computed using either

[tex]\displaystyle \int_0^2 x^2 \, dx + \int_2^{10} -\frac x2 + 5 \, dx[/tex]

or

[tex]\displaystyle \int_0^4 (10-2y)-\sqrt y \, dy[/tex]

Either way, you've gotten the correct area for part (a).

For part (b), we can use part of the integral with respect to [tex]y[/tex] above. The horizontal distance between the curves [tex]y=x^2[/tex] and [tex]y=-\frac x2+5[/tex] is obtained by first solving for [tex]x[/tex],

[tex]y=x^2 \implies x=\sqrt y[/tex]

[tex]y=-\dfrac x2+5 \implies x = 10-2y[/tex]

so the length of each cross section is [tex]10-2y-\sqrt y[/tex].

The height of each cross section is [tex]3y[/tex].

Then the volume of the solid is

[tex]\displaystyle \int_0^4 3y \left(10-2y-\sqrt y\right) \, dy = \boxed{\int_0^4 -6y^2 + 30y - 3y^{3/2} \, dy}[/tex]

The instructions don't say to evaluate, but if you're looking for practice the volume ends up being 368/5, or 73  3/5.

simplify (2+3)2 + 8/2

Answers

Answer

[tex]2 \times 2 + 6 \times 2 + \frac{8}{2 } [/tex]

[tex]4 + 12 + 4[/tex]

[tex]16 + 4[/tex]

[tex]20[/tex]

(2+3)2+8/2
5•2+8\2
10+4
=14

This table shows how many students from two high schools attended a
football game
Attended the game
Total
Did not attend
the game
90
Westville
60
150
North Beach
110
90
200
Total
170
180
350
A student is randomly selected.
What is the probability that a student attended the game, given that the
student is from North Beach? Round your answer to two decimal places,
O A. 0.57
B. 0.48
C. 0.55
OD. 0.65

Answers

The probability that a student attended the game, given that the student is from North Beach is 0.65.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a student attended the game, given that the student is from North Beach = number of North beach students that attended the game / total number of students who attended the game

110 / 170 = 0.65

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ил
-
10: Find the x-and y-intercepts of the graph of the function f(x) = x^4 − 1
Solution :

Answers

Find the x-and y-intercepts of the graph of the function f(x) = x^4 − 1

Answer: The given equation is

f(x) = x^{4} - 1

x- and y-intercept of the graph of the function f(x) = x^4 - 1 is

x-intercept(s): (1,0), (−1,0)

y-intercept(s): (0, −1)

A graph of the above point is attached

Step-by-step explanation:

Given equation, f(x) = x^{4} - 1

let's assume the above equation with respect to y to find intercept i.e

y = x^{4} - 1 .........................(i)

Now, for the x-intercept put y = 0 in eq.(i)

So, we get,

0 = x^4 - 1

x^4 = 1

x = -1, +1

from above we get the x-intercept (1,0), (−1,0)

Now, for the y-intercept put x = 0 in eq.(i)

So, we get

y = 0^4 - 1

y = -1

from above we get the y-intercept (0, -1)

Therefore, from all above

x- and y-intercept of the given equation f(x) = x^4 - 1 is

x-intercept(s): (1,0), (−1,0)

y-intercept(s): (0, −1)

Graph of the given equation f(x) = x^4 - 1 with intercept is

Calculate the probability for the following situation, then select the correct answer:

You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card greater than 6 (assume the ace is equal to 1) from the deck?

Answers

The probability is P = 0.135

How to find the probability?

First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.

P(head) = 1/2P(odd number) = 3/6  (there are 3 odd numbers on the dice)P(card greater than 6) = 28/52 (28 cards with numbers larger than 6).

The joint probability is given by the product between the individual probabilities, so we get:

P = (1/2)*(3/6)*(28/52) = 0.135

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(02.05 LC)

Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of f(x) + 4?

The graph shifts 4 units up.
The graph shifts 4 units down.
The graph shifts 4 units left.
The graph shifts 4 units right.

Answers

Answer:

1st option

Step-by-step explanation:

given the graph of f(x) then the graph of f(x) ± c is a vertical translation of f(x)

• if - c then a shift down of c units

• if + c then a shift up of c units

then for f(x) + 4 is a shift up of 4 units

The table shows the multiplication of two linear expressions.

A 2-column table with 5 rows. First column is labeled Reason with entries Given, Step 1, Step 2, Step 3, Step 4. Second column is labeled Step with entries three-fourths x (negative 8 x + 6), (three-fourths x) (negative 8 x) + (three-fourths x) (6), three-fourths times (negative 8) times x times x + three-fourths times 6 times x, (three-fourths times (negative 8)) times (x times x) + (three-fourths times 6) times x, negative 6 x squared + 9 over 2 x.

What is the mathematical reasoning for Step 3?

associative property
commutative property
distributive property
simplify

Answers

The mathematical reasoning for Step 3 is a distributive property.

What is distributive property?

It should be noted that the distributive property is the multiplication of the sum of two to more addends by a number that will give same result.

In this case, the mathematical reasoning for Step 3 is a distributive property.

Therefore, the correct option is C.

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Answer: C. Distributive Property

Christine has scored 73, 85, 70, and 63 on her previous four tests. What score does she need on her next test so that her average (mean) is 73?

Answers

Answer:

74

Step-by-step explanation:

(73 + 85 + 70 + 63 + x)/5 = 73.

You find the average by adding all of the test scores and dividing that number by the number of tests.  We had four test, so will will take that total, plus some mystery number (let's call it x), we divide that total by 5 because now there are 5 tests and not 4.  We already know what we want the average to be, we want the average to be 73.  We now have:

(291 + x)/5 = 73  Multiply both sides by 5

291 + x =365  Subtract 291 from both sides to get

x = 74

Answer: 74

Step-by-step explanation:

The mean is the average of all the values, which we find by finding the sum of each value and dividing by the total number of data points.

With 5 data points, we can use this equation to find, x, or the data point needed to obtain a mean of 73:

[tex]\frac{73+85+70+63+x}{5}=73\\ 291+x=365\\x=74[/tex]

Which of the following points is in the solution set of y < x2 - 2x - 8?

Answers

The solution set of the given inequality has a domain of (-∞, ∞) and the vertex(h,k) = (1, -9)

What is the solution set for inequality?

The solution set for inequality is the set of all solutions for which the inequality is defined. It can also be represented in an interval notation.

Given that:

y < x² - 2x - 8

By rewriting the equation in the parabola standard form 4p(y-k) = (x - h)², we have:

[tex]\mathbf{4\times \dfrac{1}{4}(y-(-9)) = (x-1)^2}[/tex]

Therefore, the parabola properties are:

The solution set of the domain is (-∞, ∞)Vertex(h,k) = (1, -9) Focal length |p| = 1/4

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do you have a picture of what the graph would look like?

Answers

The attached graph represents the piecewise function.

How to determine the graph of the equation?

The piecewise function is given as:

f(x) = 3x - 5, x ≤ -1

      = -2x + 3, -1 < x < 4

      = 2, x ≥ 4

To plot the graph, we simply plot the equations together with their domains

i.e.

3x - 5 with the domain of x ≤ -1,  -2x + 3 with the domain of -1 < x < 4 and 2 with the domain of x ≥ 4

See attachment for the graph of the function

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What is the equation of the rational function g(x) and its corresponding slant asymptote?

Rational function with one piece increasing from the left in quadrant 3 and passing through the point negative 3 comma 0 and going to the right asymptotic to the line x equals 2 and another piece increasing from the left in quadrant 3 asymptotic to the line x equals 2 and passing through the point 3 comma 0 and going to the right

g of x is equal to the quantity x squared minus 9 end quantity over the quantity x plus 2 end quantity with a slant asymptote at y = x + 2
g of x is equal to the quantity x squared minus 9 end quantity over the quantity x minus 2 end quantity with a slant asymptote at y = x + 2
g of x is equal to the quantity x squared minus 9 end quantity over the quantity x plus 2 end quantity with a slant asymptote at y = x – 2
g of x is equal to the quantity x squared minus 9 end quantity over the quantity x minus 2 end quantity with a slant asymptote at y = x – 2

Answers

The solution to the Questions are

The alternate hypothesis demonstrates that there are two possible outcomes for the test.Decision rule: If z > 2.05 or z<-2.05, reject H0z=2.59The two-tailed nature of the test is shown by the alternative hypothesis.The result of the test yields the following P-value: 0.0096

What is the alternate hypothesis?

(a)

The alternate hypothesis demonstrates that there are two possible outcomes for the test.

(b)

Here we have

[tex]n_{1}=40,\\\\ \bar{x}_{1}=102,\sigma_{1}=5,n_{2}=50,\bar{x}_{2}=99,\sigma_{2}=6[/tex]

(b)

Here the test is two-tailed. So for [tex]\alpha =0.04[/tex], the critical values of the z-test are -2.05 and 2.05.

Decision rule: If z > 2.05 or z<-2.05, reject H0

(c)

Test statistics will be

[tex]z=\frac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu_{2})}{\sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}} \\\\\\z=\frac{(102-99)-(0)}{\sqrt{\frac{5^{2}}{40}+\frac{6^{2}}{50}}}[/tex]

z=2.59

(d)

The two-tailed nature of the test is shown by the alternative hypothesis.

(e)

The result of the test yields the following P-value: 0.0096

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find w + y + y + z


someone pls help

Answers

Answer:

300

Step-by-step explanation:

30+30+w+x+y+z = 360 (all angles round a point add up to 360)

Simplifying :

60 + w+x+y+z = 360

Subtracting 60 from both sides :

w+x+y+z = 300

Hope this helped and brainliest ?

Sum of entire angle=360°

so

30+x+y+x+w+30=360w+x+y+z=360-60w+x+y+z=300

Please help me with this problem literally so desperate right now.

Answers

Answer: 13 inches by 2 inches

Step-by-step explanation:

26 can be made by:

1 x 26

2 x 13

There are only 2 possibilities for the dimensions.

2 x 3 + 7 is 13, which fits the requirements.

Which means, the length is 13 and the width is 2.

Find the area of a triangle with legs that are: 16 m, 12 m, and 8 m.

Answers

Answer: 46.48 m²

Step-by-step explanation:

this question was answered already, go search it up

What is the equation of the line that is perpendicular to the line defined by the equation 2y=3x+2 and goes through the point (3,2)

Answers

The equation of the perpendicular line is [tex]y=-\frac{2}{3}x+4[/tex]

Equation of perpendicular lines

The equation is defined by 2y = 3x + 2

Rewrite the equation in the form y = mx + c

[tex]y=\frac{3}{2}x + 1[/tex]

The slope, m = 3/2

The y-intercept, c = 1

The equation perpendicular to the given line will be of the form:

[tex]y-y_1=\frac{-1}{m}(x-x_1 )[/tex]

Substitute [tex]x_1=3, y_1=2, and m=\frac{3}{2}[/tex] into the equation above

[tex]y-2=\frac{-2}{3} (x-3)\\\\y-2=-\frac{2}{3}x+2\\\\y=-\frac{2}{3}x+4[/tex]

Therefore, the equation of the perpendicular line is [tex]y=-\frac{2}{3}x+4[/tex]

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Chandra invests $75 every month at 4.8%/a compounded monthly for 8 years. What is the total amount of
Chandra's investments after 8 years?

Answers

The total amount of Chandra's investments after 8 years exists at $110.03 Compound interest.

How to estimate the total amount of Chandra's investments after 8 years?

The formula for calculating the compound interest exists described as;

[tex]A = P(1+r/n)^{nt[/tex]

where, P is the amount invested = $75

r be the rate. = 0.048

t be the time = 8 years

n = 12 (monthly)

Substitute, the values in the above equation, then we get

[tex]$A = 75(1+0.048/12)^{96[/tex]

A = 75(1.467)

A = 110.03

Hence the total amount of Chandra's investments after 8 years is $110.03 Compound interest.

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A stairway rises 6 feet 4 inches over a horizontal distance of 8 feet 6 inches. What is the diagonal length of the stairway

Answers

Answer:

10.6 ft

Step-by-step explanation:

to find the diagonal length of the stairway we can use the pythagorean theorem or a^2 + b^2 = c^2

6'4" is also 6 1/3' or 19/3'

8'6" is also 8 1/2' or 17/2'

now square them both

361/9 + 289/4

make them have the same denominator

1444/36 + 2601/36

add them

4045/36

take the square root

10.6000524 is your answer

10.6 ft

1 On a trip, a family drove 270 kilometers in 3 hours. a Find how many kilometers were traveled in one hour. Express this as a rate per hour. it rate​

Answers

90 kilometers per hour
270/3=90

Answer:

90 kilo per hour

Step-by-step explanation:

hope that helps!!

A customer's stock value seems to be rising exponentially. The equation for
the linearized regression line that models this situation is log(y) = 0.30x +0.296,
where × represents number of weeks. Which of the following is the best
approximation of the number of weeks that will pass before the value of the
stock reaches $600?

Answers

Considering the given regression equation, the number of weeks that will pass before the value of the stock reaches $600 is of:

B. 8.3.

What is the regression equation?

The value of the stock y after x weeks is given as follows:

log(y) = 0.3x + 0.296.

We have to solve for x when y = 600, hence:

log(600) = 0.3x + 0.296

0.3x = 2.7782 - 0.296

x = (2.7782 - 0.296)/0.3

x = 8.3 weeks.

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A truack Cars a load of 50 boxes 50 men are 20kg boxes and the rest and 25 ка Boxes. Is the Total weight of all Boxes is 1175 kg. How many of each type are there? X = 50kg Y=20kg 2= 25kg then sum of that is 1175 kg​

Answers

The number of boxes with 20kg = 15

The number of boxes with 25 kg = 35.

How to estimate the value of X and Y?

To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.

Total weight of all boxes = 1175kg

Total number of boxes = 50

X + Y = 50........................(1)

20X + 25Y = 1175 .............(2)

(1) [tex]\times[/tex] 20

20 (X + Y = 50)

20X + 20Y = 1000 .............(3)

Subtracting (3) from (2), we get

20X + 25Y = 1175 -

20X + 20Y = 1000

--------------------

5Y = 175

Y = 175/5

Y = 35

Substitute the value of y in (1), then we get

X + Y = 50

X + 35 = 50

X = 50 - 35

X = 15

The value of X = 15 and Y = 35

Number of boxes with 20kg = 15

Number of boxes with 25 kg = 35.

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(giving brainlyst) Question 2(Multiple Choice Worth 2 points) (13.03 LC) Which statement best describes the expression (5 x 3-12) x 87 O Subtract the product of 5 and 3 from the product of 12 and 8. O Multiply the difference of 12 and 8 by the product of 5 and 3. O Multiply the difference of 5 and 3 by 8, then subtract 12. O Subtract 12 from the product of 5 and 3, then multiply by 8. k​

Answers

Answer:

See below

Step-by-step explanation:

Using PEDMAS:

O Subtract 12 from the product of 5 and 3, then multiply by 87​

Given the similar hexagon-based prisms pictured below, if prism 2 has a surface area of 256 cm, what is the surface area prism 1? Hint : the ratio of surface areas is the scale factor squared.

Answers

Using the hint that the ratio of surface areas is the scale factor squared, the surface area of prism 1 is 36 square cm

How to determine the surface area prism 1 using the hint that the ratio of surface areas is the scale factor squared?

From the figure, we have the following parameters

Prism 1 = 3 cm

Prism 2 = 8 cm

Calculate the scale ratio of dilation from prism 2 to prism 1 using the following equation

Scale ratio = Prism 1/Prism 2

Substitute the known values in the above equation

Scale ratio = 3m/8m

This gives

Scale ratio = 0.375

The surface area of prism 1 is then calculated using the following equation

Area of prism 2 = Scale ratio^2 * Area of prism 1

Substitute the known values in the above equation

Area of prism 2 = 0.375^2 * 256 square cm

Evaluate the product

Area of prism 2 = 36 square cm

Hence, the surface area of prism 1 is 36 square cm

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x+11=35 solve on algebraic equation

Answers

Answer:

x = 24

Step-by-step explanation:

x + 11 = 35

x = 35 - 11

x = 24

x+11=35

Subtract 11 on both sides.

x=35−11

Subtract 11 from 35 to get 24.

x=24 === Answer

What kind of multi step do I have to do to prove a is parallel to b and m parallel to n.

Answers

The proof that line n is perpendicular to both a and b is proved below using definition of right angle and perpendicular transversal theorem.

How to prove Perpendicular and Parallel Lines?

We are given that;

Line a is parallel to line b

Line m is parallel to line n.

A) We want to prove that line a is perpendicular to n.

From the image, we see that there is a right angle sign on the opposite side of ∠1 facing m.

Now, we know that by definition of a right angle that ∠1 will also be a right angle.

Since angle 1 is a right angle, then we can say the line transversal a is perpendicular to line m.

B) We want to prove that line b is perpendicular to n.

The definition of the perpendicular transversal theorem, states that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Thus, b will be perpendicular to n.

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Todd and his friends are painting 5 equal sections of a wall. The wall is 10 feet tall, but its length is unknown.

Each section will be a different color, so they need to know the area of each section
1. Write an expression for the total area of the wall. Explain how you came up with your expression

Answers

The expression for the total area of the wall is 10x.

What is area of rectangle?

Let l be length and b be breadth of the rectangle.

Then the area is the product of length and breadth of the rectangle.

That is area = l* b

We can find the expression for the total area of the wall as shown below:

Let the total length of the wall be x.

Height=10 ft

Total area = Height*Length

Putting the value of length and breadth in the above formula.

Total area = 10*x

Total area = 10x

Hence, the expression for the total area of the wall is 10x.

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Suppose we want to choose colors, without replacement, from the colors red, blue, green, and purple.

(a) How many ways can this be done, if the order of the choices is relevant?

(b) How many ways can this be done, if the order of the choices is not relevant?

Answers

The number of ways when the choice is not relevant is 4

How to determine the number of ways?

The number of colors are:

Colors, n = 4

The color to choose are:

r = 3

Relevant choice

When the choice is relevant, we have:

[tex]Ways = ^nP_r[/tex]

This gives

[tex]Ways = ^4P_3[/tex]

Evaluate

Ways = 24

Hence, the number of ways when the choice is relevant is 24

Not relevant choice

When the choice is not relevant, we have:

[tex]Ways = ^nC_r[/tex]

This gives

[tex]Ways = ^4C_3[/tex]

Evaluate

Ways = 4

Hence, the number of ways when the choice is not relevant is 4

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Select linear or nonlinear to correctly classify each function. Function Linear Nonlinear 72=x3+y Linear – 72= x 3 +y Nonlinear – 72= x 3 +y y+1=5(x−9) Linear – y+1=5( x−9 ) Nonlinear – y+1=5( x−9 ) 7y + 2x = 12 Linear – 7y + 2x = 12 Nonlinear – 7y + 2x = 12 4y = 24 Linear – 4y = 24 Nonlinear – 4y = 24

Answers

The linear functions are: y + 1 = 5(x - 9), -y + 1 = 5(x − 9), 7y + 2x = 12, -7y + 2x = 12, 4y = 24,  and -4y = 24

How to classify the functions?

As a general rule, linear functions take any of the following forms:

y = mx + b

Ax + By = C

y - y1 = m(x - x1)

Any equation that take a different form is not a linear function

Using the above as a guide, the linear functions are:

y + 1 = 5(x - 9), -y + 1 = 5(x − 9), 7y + 2x = 12, -7y + 2x = 12, 4y = 24,  and -4y = 24

Other functions are nonlinear

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Using the data in the table, which statement is true?

Answers

The true statement is mean > median

How to determine the true statement?

The mean is the average value.

So, we have

Mean = Sum/Count

This gives

Mean = (8 * 1 + 10 * 3 + 14 * 2)/(1 + 3 + 2)

Evaluate

Mean = 11

The mode is the measure with the highest frequency.

So, we have

Mode = 10

The median is the middle element

So, we have

Median = 10

The mean (11) is greater than the mode and the median

Hence, the true statement is mean > median

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which equation is represented by the graph below a. y=1/8ex b.y=1/2ex c.y=2ex. d.y=8ex

Answers

D.y will be cause it in the 8 thingy

Factor ​f(x) =3x^2+23x^2-35x+9 into linear factors given that -9 is a zero of​ f(x).

Answers

Using the Factor Theorem, the function factored into linear factors is given as follows:

[tex]3x^2 + 23x^2 - 35x + 9 = 3(x + 9)(x - 1)\left(x - \frac{1}{3}\right)[/tex]

What is the Factor Theorem?

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

-9 is a zero of f(x), hence [tex]x_1 = -9[/tex] and:

3x³ + 23x² - 35x + 9 = (x + 9)(ax² + bx + c)

ax³ + (b + 9a)x² + (9b + c)x + 9c = 3x³ + 23x² - 35x + 9

The coefficients are given as follows:

a = 3.9c = 9 -> c = 1.b + 9a = 23 -> b = -4.

Hence:

3x³ + 23x² - 35x + 9 = (x + 9)(3x² - 4x + 1)

[tex]3x^2 + 23x^2 - 35x + 9 = 3(x + 9)(x - 1)\left(x - \frac{1}{3}\right)[/tex]

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Other Questions
if a substance has a half-life of 4.50 years, how many years will it take for 50.0 g of the substance to be depleted to 0.0500 g? what is not an advantage of changing from a push system to a pull system? Find the equation of thw straight line through the point (4. -5)and is (a) parallel as well as (b) perpendicular to the line 3x+4y=0 Let A be a n x n matrix and let B = I - 2A + Aa.) Show that if x is an eigenvector of A belonging to an eigenvalue of A, then x is also an eigenvector of B belonging to an eigenvalue of B. How are ? and related?b.) Show that if = 1 is an eigenvalue of A, then the matrix B will be singular.NOTE - was originally supposed to be Mu, but the symbol isnt supported. what even marked the start of World War 2 What was the Iron Curtain that Winston Churchill referred to?A wall of Soviet missiles positioned along its borderA way to push the Soviet Union out of Eastern EuropeAn imaginary line that separated communist countries from free countries in Europeis An imaginary line that separated communist countries from free countries in Europe 1. (7 points) Evaluate the integral by changing to polar coordinates. Rarctan(y/x)dA, where R={(x,y):1x^2+y^24,0yx} Give unambiguous CFGs for the following languages. a. {w in every prefix of w the number of a's is at least the number of bs) b. {w the number of a's and the number of b's in w are equal) c. (w the number of a's is at least the number of b's in w Exercise 8.9.3: Characterizing the strings in a recursively defined set. i About The recursive definition given below defines a set of strings over the alphabet (a, b): Base case: ES and a ES Recursive rule: if x ES then, XbES (Rule 1) oxba e S (Rule 2) This problem asks you to prove that the set Sis exactly the set of strings over {a, b} which do not contain two or more consecutive a's. In other words, you will prove that x e Sif and only if x does not contain two consecutive a's. The two directions of the "if and only if" are proven separately. (a) Use structural induction to prove that if a string x e S, then x does not have two or more consecutive a's. (b) Use strong induction on the length of a string x to show that if x does not have two or more consecutive a's, then x E S. Specifically, prove the following statement parameterized by n: For any n 2 0, let x be a string of length n over the alphabet (a, b) that does not have two or more consecutive a's, then xe S. Let d, f, and g be defined as follows.d: {0, 1}4 {0, 1}4. d(x) is obtained from x by removing the second bit and placing it at the end. For example, d(1011) = 1110.f: {0, 1}4 {0, 1}4. f(x) is obtained from x by replacing the last bit with 1. For example, f(1000) = 1001.g: {0, 1}4 {0, 1}3. g(x) is obtained from x by removing the first bit. For example, g(1000) = 000.(a) What is d-1(1001)?(c) What is the range of g f? you are given that tan(a)=3 and tan(b)=6. find tan(ab). give your answer as a fraction. A camera lens usually consists of a combination of two or more lenses to produce a good-quality image. Suppose a camera lens has two lenses - a diverging lens of focal length 11.7 cm and a converging lens of focal length 5.85 cm. The two lenses are held 6.79 cm apart. A flower of length 11.7 cm, to be pictured, is held upright at a distance 52.5 cm in front of the diverging lens; the converging lens is placed behind the diverging lens. a) How far to the right of the convex lens is the final image? When money serves as a standard for comparing values of different things, it is functioning as aOA. hedge against inflation.OB. standard of deferred payment.OC. store of value.OD. unit of accounting. Jenny packaged 108 eggs in carton. Write this statement as a rate agbr(s) ag (aq) br-(aq) ksp = 5.4 x 10-13 ag (aq) 2nh3(aq) ag(nh3)2 (aq) kf = 1.7 x 107 calculate the molar solubility of agbr(s) in 5.00 m nh3 solution If blue light of wavelength 434 nm shines on a diffraction grating and the spacing of the resulting lines on a screen that is 1.05m away is what is the spacing between the slits in the grating? You are building a style sheet for your website. you want unvisited hyperlinks to be steelblue.you want visited links to be orange. you don't want any links to be underlined. in your brandnew style sheet, drag the correct code to satisfy all three requirements into the blank area onthe style sheet. An investment of $144767 is expected to generate an after-tax cash flow of $79500 in one year and another $125500 in two years. The cost of capital is 10 percent. What is the internal rate of return? Simulation analysis requires a model foundation of logical formulas that correctly express the relationships between parameters and decisions to generate outputs of interest.a. Trueb. False Richard Rambo presently owns the Marine Tower office building, which is 20 years old, and is considering renovating it. He purchased the property two years ago for $800,000 and financed it with a 20-year, 75 percent loan at 4.5 percent interest (monthly payments). Of the $800,000, the appraiser indicated that the land was worth $200,000 and the building $600,000. Rambo has been using straight-line depreciation over 39 years (1/39 per year for simplicity). At the present time Marine Tower is producing $52,000 in NOI, and the NOI and property value are expected to increase 2 percent per year. The current market value of the property is $820,000. Rambo estimates that if the Marine Tower office building is renovated at a cost of $200,000, NOI will be about 20 percent higher next year ($62,400 vs. $52,000) due to higher rents and lower expenses. He also expects that with the renovation the NOI will increase 3 percent per year instead of 2 percent. Furthermore, Rambo believes that after five years, a new investor will purchase the Marine Tower office building at a price based on capitalizing the projected NOI six years from now at a 6 percent capitalization rate. Selling costs would be 6 percent of the sale price. Rambo is currently having to pay 35 percent tax on ordinary income, 20 percent on capital gain, and 25 percent on depreciation recapture which he expects to remain the same in the future. He also would not be subject to any passive activity loss limitations. If Rambo does the renovation, he believes that he could obtain a new loan at a 5 percent interest rate and a 20-year loan term (monthly payments).Required: a. Assume that if Rambo does the renovation, he will be able to obtain a new loan that is equal to the balance of the existing loan plus 75 percent of the renovation costs. What is the incremental return (ATIRRe) for doing the renovation versus not doing the renovation? Assume a five-year holding period.