help i need this to be answerd

Help I Need This To Be Answerd

Answers

Answer 1

Answer:

What is it, you need help with?

Step-by-step explanation:

:)


Related Questions

Please help!!!!! 8th grade mathHint not A

Answers

Answer:

c

Step-by-step explanation:

it passes vertical line test and is linear

Answer:

C

Step-by-step explanation:

The answer is C. Hoped it helped.


6th grade math plz help

Answers

Answer:

The question needs more information but you can see that all the numbers in the 1st column are multiplied by 6 to equal the number in column 2

Step-by-step explanation:

3 x6 =18

6 x 6= 36

9 x6= 54

12 x6 =72

Help ASAP 15 Points

The hot water heater in the Alvarez's home holds 70 gallons of water. Each shower taken uses 5.4 gallons
of water. How much water is left after 3 showers. (Hint: Write an equation relating the number of showers and
the number of gallons left in the tank)

Answers

Answer:

53.8 gallons

Step-by-step explanation:

5.4*3=16.2

5.4 (gallons used per shower) * 3 (number of showers) = 16.2 (gallons used in 3 showers)

70-16.2=53.8

70 (Water in tank) - 16.2 (gallons used in 3 showers) = 53.8 (gallons of water left)

Hope this helps! Please brainliest!!!

Answer:

A(3) = 53.8 gallons left after 3 showers

Step-by-step explanation:

A(x) = volume of water left in tank = 70 gallons - (5.4 gallons)x, where x is the number of showers already taken.  

After  3 showers, the volume of water left is A(3) = 70 gal - (5.4 gallons)(3), or

A(3) = 53.8 gallons left after 3 showers

Find a Mobius transformation f such that f(0) = 0, f(1) = 1, f([infinity]) = 2, or explain why such a transformation does not exist.

Answers

A Möbius transformation is a transformation of the form f(z) = (az+b)/(cz+d), where a, b, c, and d are complex numbers and ad-bc ≠ 0. The complex number z maps to f(z).

To find the Möbius transformation f such that f(0) = 0, f(1) = 1, f([infinity]) = 2, we follow these steps:

Step 1: Map 0 to 0 We need to map 0 to 0, so we set f(0) = 0. So, we get 0 = (a(0) + b) / (c(0) + d). This gives us b = 0. Step 2: Map infinity to 2We need to map [infinity] to 2, so we set f([infinity]) = 2. So, we get 2 = (a[infinity] + b) / (c[infinity] + d). This gives us a/c = 2/d. Cross-multiplying the terms, we get ad = 2c.

Let us assume that d = 1, then we have a = 2c.

We can substitute this value of a in the Möbius transformation, and we get f(z) = (2cz) / (cz + 1).Step 3: Map 1 to 1To map 1 to 1, we evaluate the Möbius transformation at z = 1. We get f(1) = (2c) / (c + 1) = 1.

Solving this, we get c = -1/2. Therefore, the Möbius transformation is f(z) = (2z) / (z - 2).

Hence, we have found the required Möbius transformation f(z) = (2z) / (z - 2) such that f(0) = 0, f(1) = 1, and f([infinity]) = 2.

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WILL GIVE BRAINLIEST what is
453252 x 213414

Answers

Answer:

96730322328

Step-by-step explanation:

I hope this helps

The answer is


9.67303223x10^10.

determine the mode of the set of data in the stem and leaf plot below​

Answers

Answer:

51

Step-by-step explanation:

mode is the value which appears the most than other values. In this case 51 will appear 3 times.

Answer:

5.1

Step-by-step explanation:

dont forget the decimal

Emmy is tossing bean bags at a target. She hit the target on 9 out of her last 18 tries. Considering this data, how many hits would you expect Emmy to get during her next 16 tosses?

Answers

Answer:

I would expect Emmy to get 8 hits in her next 16 tosses.

Emmy is to get 8 hits in her next 16 tosses.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that Emmy is tossing bean bags at a target. She hit the target on 9 out of her last 18 tries. Considering this data.

The probability is,

P = 9 / 18

P = 0.5

The expected number of the hits on the target in 16 tosses will be;-

Number = 16 x 0.5

Number = 8

Therefore, Emmy is to get 8 hits in her next 16 tosses.

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What is the area of the triangle?
5
4
3
units2

Answers

Answer:

area of triangle =1/2 p×b=1/2×4×3=6unit²

a cylinder with the radius of 12 feet and height of 1.2 feet. What is the total surface area of the cylinder in square feet?

Answers

Answer:

995.26

Step-by-step explanation:

I'm not sure but this is what I got

Instructions:type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). Consider the parabola represented by the equation -2y2 = 4x. This parabola will open to the. The equation of the directrix of the parabola is. The focus of the parabola is

Answers

The given parabola is a downward-opening parabola, its directrix is y = -1/2, and its focus is located at (0, -1/2).

The parabola represented by the equation [tex]-2y^2 = 4x[/tex] is a downward-opening parabola.

To understand the direction of the parabola, we can look at the coefficient of the [tex]y^2[/tex] term in the equation. Since it is negative (-2), the parabola opens downwards. If the coefficient were positive, the parabola would open upwards.

The equation of the directrix of a parabola can be determined by rearranging the given equation to the standard form, which is [tex](y - k)^2 = 4p(x - h)[/tex], where (h, k) represents the vertex of the parabola and p represents the distance between the vertex and the focus.

In the given equation, [tex]-2y^2 = 4x[/tex], we can divide both sides by -2 to obtain [tex]y^2 = -2x[/tex]. Comparing this to the standard form, we can see that the vertex is at (0, 0) since h = 0 and k = 0.

The coefficient of x in the standard form equation is 4p. Therefore, in our equation, 4p = -2, which implies p = -1/2.

Since p is negative, the directrix will be a horizontal line parallel to the x-axis and situated below the vertex. The equation of the directrix can be written as y = -1/2.

The focus of the parabola can be found by adding p to the y-coordinate of the vertex. In this case, since the vertex is at (0, 0) and p = -1/2, the focus will be at (0, -1/2).

In summary, the parabola represented by [tex]-2y^2 = 4x[/tex] is a downward-opening parabola. The equation of the directrix is y = -1/2, and the focus is located at (0, -1/2).

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Berverly has 2 pens she buys 1 more pen enter the numerical expressions in the box that models this situation

Answers

Answer:

2 + 1 = 3

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Berverly already has = 2 pens

Berverly bought = 1 pen

Then to show this situation in numerical expression, we have to add both values, then

= 2 + 1 = 3

Hence, this shows that the total number of pens Berverly has after buying is 3.

CAN SOMEONE PLEASE HELP!!! I DONT UNDERSTAND. I WILL GIVE BRAINLIEST!!!

Answers

Answer:

586.76

Step-by-step explanation:

Take the area of the rectangular prism = 348

Find the area of the cylinder = 477.52

Divide the cylinder by 2 = 238.76

Add both together = 586.76

Can we just get rid of math forever?

Answers

Answer:

I don't think so .... :(((

show directly from the definition that if (xn) and (yn) are cauchy sequences, then (xn) (yn) and (xnyn) are cauchy sequences.

Answers

Given that (xn) and (yn) are Cauchy sequences, then for any ε > 0, there exist N1 and N2 such that |xn - xm| < ε/2, for all n, m ≥ N1 and |yn - ym| < ε/2, for all n, m ≥ N2. Then, for all n, m ≥ max{N1, N2},

we have: |xnyn - xmym| = |xnym - xmym + xmym - xnym| ≤ |xn - xm||ym| + |ym - yn||xm| ≤ |xn - xm|ε/2 + |ym - yn|ε/2 < εThis shows that (xnyn) is a Cauchy sequence.

Moreover, for any ε > 0, there exists N such that |xn - xm| < ε/2 and |yn - ym| < ε/(2max{|x1|, |x2|, . . . , |y1|, |y2|, . . . , |yn|}) for all n, m ≥ N. Then, for all n, m ≥ N,

we have: |xnyn - xmym| = |xnym - xmym + xmym - xnym| ≤ |xn - xm||ym| + |ym - yn||xm| + |ym - yn||yn| ≤ |xn - xm|ε/(2max{|x1|, |x2|, . . . , |yn|}) + |ym - yn|ε/(2max{|x1|, |x2|, . . . , |yn|}) + |yn|ε/(2max{|x1|, |x2|, . . . , |yn|}) < ε.

This shows that (xn)(yn) is also a Cauchy sequence.

Therefore, from the given definition, it has been shown that if (xn) and (yn) are Cauchy sequences, then (xn) (yn) and (xnyn) are Cauchy sequences.

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The product of 3 consecutive even integers is equal to the cube of the first plus the square of the second plus twice the square of the third. Find the integers. Please show work.

Answers

Answer:

6, 8 and 10  and  -2, 0, 2

There are two roots x = -2 and 6,    

but the since I don't believe 0 is an even number the answer is 6, 8 and 10

I was incorrect according to G0ggle zero is an even number so another answer is  -2, 0, 2

Step-by-step explanation:

read the question and convert the English to mathematics

x, y and z    even consecutive number

y = x+2

z = y+2 = x+4

and

xyz = x³ + y² + 2z²                                   substitiute x terms  in for y and z

x(x+2)(x+4)  = x³ + (x+2)² + 2(x+4)²           solve for x by graphing on DEMOS

                                                                 x = -2, 6  solved algebraically below

x = -2   y=0   z=2

x = 6    y=8   z=10

Checked both answers

xyz = x³ + y² + 2z²

-2(0)2 = -8 + 0 + 8                  when x = -2

   0   =  0

and

6(8)(10)  =  6³ + 8² +2(10)²      when x = 6

   480   =  216+64+200

             =  480

x(x+2)(x+4)  = x³ + (x+2)² + 2(x+4)²                           solved algebraically

(x²+2x)(x+4)   = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + 3x² + 20x + 36

      3x² - 12x - 36 = 0         factor out the 3

      3[x² - 4x - 12] = 0

       3(x+2)(x-6) = 0     x = -2 and -12




Find all eigenvalues of the given matrix. (Enter your answers as a comma-separated list.) 1 0 0 00-4 A = 04 0 a = =

Answers

The eigenvalues of the given matrix A are 1, 2, and -2.

To find the eigenvalues of the matrix A:

A = [1 0 0]

[0 -4]

[0 4]

To find the eigenvalues, we need to solve the characteristic equation |A - λI| = 0, where λ is the eigenvalue and I is the identity matrix.

The matrix A - λI is:

A - λI = [1 - λ 0]

[0 -4]

[0 4 - λ]

Taking the determinant of A - λI:

|A - λI| = (1 - λ)(-4 - λ(4 - λ))

Expanding the determinant and setting it equal to zero:

(1 - λ)(-4 - λ(4 - λ)) = 0

Simplifying the equation:

(1 - λ)(-4 - 4λ + λ²) = 0

Now, we can solve for λ by setting each factor equal to zero:

1 - λ = 0 or -4 - 4λ + λ² = 0

Solving the first equation, we get:

λ = 1

Solving the second equation, we can factorize it:

(λ - 2)(λ + 2) = 0

From this equation, we get two additional eigenvalues:

λ = 2 or λ = -2

Therefore, the eigenvalues are 1, 2, and -2.

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find the nth maclaurin polynomial for the function. f(x) = sin(x), n = 3
P3(x) = ___

Answers

The third-degree Maclaurin polynomial for f(x) = sin(x) is P3(x) = x - (x^3) / 6.

To find the nth Maclaurin polynomial for the function f(x) = sin(x) when n = 3, we need to compute the polynomial up to the third-degree term.

The Maclaurin polynomial for a function f(x) centered at x = 0 is given by the formula:

Pn(x) = f(0) + f'(0)x + (f''(0)x^2) / 2! + (f'''(0)x^3) / 3! + ...

Let's calculate the nth Maclaurin polynomial for f(x) = sin(x) when n = 3:

First, we find the values of the function and its derivatives at x = 0:

f(0) = sin(0) = 0

f'(x) = cos(x), so f'(0) = cos(0) = 1

f''(x) = -sin(x), so f''(0) = -sin(0) = 0

f'''(x) = -cos(x), so f'''(0) = -cos(0) = -1

Using these values, we can write the Maclaurin polynomial:

P3(x) = 0 + 1x + (0x^2) / 2! + (-1x^3) / 3!

Simplifying further, we have:

P3(x) = x - (x^3) / 6.

Therefore, the third-degree Maclaurin polynomial for f(x) = sin(x) is:

P3(x) = x - (x^3) / 6.

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The students in Mr. Andersen's science class counted the number of leaves on each of 11 different rose bushes. The data they collected is:

26, 54, 38, 65, 58, 35, 52, 43, 55, 41, 61

What is the range of the set of data?

Answers

Answer:

35

Step-by-step explanation:

subtract highest and lowest numbers

XXX
X
х
3
4
? 11 14 1 13
Worm Length (inches)
?
inch
?
DONE
AZ
539 Complete

Answers

Answer:

I can't able to understand this question plz check this question if it is right or not

corine in making potato salad for each bowl of potato salad she needs 1/4 cup of potatoes how many cups of potatoes will she use if she makes 32 bowls of potato salad ?

Answers

Answer:

8 cups of potatoes are needed

Step-by-step explanation:

One way of doing this work is to write out

1/4 cup                                             1 cup

------------- , which is equivalent to  ------------ (a unit rate)

 1 bowl                                              4 bowl

and then multiply this unit rate by 32 bowls:

(1/4)(32 bowls) = 8 cups of potatoes are needed

Sam needs a new jacket. Use the information
below to decide where Sam should buy the
jacket. The one he wants costs $84 dollars at
Coats 'R Us, but is 20% off. The same jacket
costs $95 at Coat Barn, but is 25% off. Where
should he buy the jacket and why?
A. Sam should buy the jacket at Coats 'R Us
because it is cheaper before the discount.
B. Sam should buy the jacket at Coats 'R Us
because it is cheaper after the discount.
C. Sam should buy the jacket at Coat Barn
because it is cheaper there after the discount.
D. Sam should buy the jacket at Coat Barn
because it has a bigger discount.

Answers

Answer:

B. Sam should buy the jacket at Coats 'R Us because it is cheaper after the discount

Answer:

I suggest that sum should buy the jacket at coats 'R us because it is still cheaper after the discount even when you've not counted the discount in it is still cheaper than the other one and the other one even when it has such a high discount it is still not cheap so I suggest that the answer is choice B

approximate the sum of the series correct to four decimal places. [infinity] (−1)n − 1n2 8n n = 1

Answers

To approximate the sum of the series [infinity] (−1)n−1n^2/(8n), we can use a numerical method such as the partial sum method.

Let's calculate the partial sums of the series and add up terms until the sum converges to a desired level of accuracy. We will stop adding terms once the absolute difference between two consecutive partial sums is less than the desired accuracy.

Let's start by calculating the partial sums:

S_1 = (-1)^1-1(1^2)/(81) = 1/8

S_2 = (-1)^2-1(1^2)/(82) + (-1)^1-1(2^2)/(82) = 1/8 - 1/16 = 1/16

S_3 = (-1)^3-1(1^2)/(83) + (-1)^2-1(2^2)/(83) + (-1)^1-1(3^2)/(83) = 1/8 - 1/16 - 1/24 = -1/24

We can observe that the partial sums alternate between positive and negative values. This indicates that the series does not converge to a specific value but oscillates between two values.

To approximate the sum, we will calculate partial sums until the difference between two consecutive partial sums is less than the desired accuracy. Let's say we want the accuracy to be 0.0001.

Let's continue calculating partial sums:

S_4 = (-1)^4-1(1^2)/(84) + (-1)^3-1(2^2)/(84) + (-1)^2-1(3^2)/(84) + (-1)^1-1(4^2)/(84) = 1/8 - 1/16 - 1/24 + 1/32 = -1/48

S_5 = (-1)^5-1(1^2)/(85) + (-1)^4-1(2^2)/(85) + (-1)^3-1(3^2)/(85) + (-1)^2-1(4^2)/(85) + (-1)^1-1(5^2)/(8*5) = 1/8 - 1/16 - 1/24 + 1/32 + 1/40 = 1/120

The difference between S_4 and S_5 is 1/120 - (-1/48) = 1/120 + 1/48 = 1/80, which is greater than 0.0001.

Therefore, we can approximate the sum of the series as -1/48, correct to four decimal places.

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Factor the expression: 2x^2 +21x+49

Answers

Answer:

(2x+7)(x+7)

Step-by-step explanation:

Find the circumference of the pizza to the nearest hundredth.
18 in.
be
RE
circumference: about
GLASE
SHELIN
HALL​

Answers

Complete Question

Find the circumference of the pizza to the nearest hundredth.

When Diameter = 18 in.

Answer:

56.55 inches

Step-by-step explanation:

A pizza is circular in shape.

The formula for the circumference of a circle is given as:

πD

Where D = Diameter

From the above question,

Diameter = 18 inches

Hence,

Circumference of the circular pizza = π × 18 inches

= 56.548667765 inches

Approximately = 56.55 inches

A coach uses a new technique to train gymnasts. 7 gymnasts were randomly selected and their competition scores were recorded before and after the training. The results means of two populations are shown below. Assume that two dependent samples have been randomly selected from normally distributed populations. Using a 0.01 level of significance, test the claim that the training technique is effective in raising the gymnast scores?

before 9.5, 9.4, 9.6, 9.5, 9.5, 9.6, 9.7

after 9.6, 9.6, 9.6, 9.4, 9.6, 9.9, 9.5

Answers

There is insufficient evidence to support the claim that the training technique is effective in raising the gymnasts scores.

In hypothesis testing, we often use significance levels such as 0.01 to determine whether or not there is enough evidence to support the hypothesis.

Here is the solution to the given problem.

The null hypothesis is that the training technique is not effective in raising the gymnasts' scores.

It is expressed as

H0: µd = 0.

The alternative hypothesis is that the technique is effective in raising the gymnasts' scores.

It is expressed as

Ha: µd > 0.

The significance level α = 0.01 is given.

Therefore, the given problem can be tested using a one-tailed t-test.

This is because the alternative hypothesis states that the mean difference between the two populations is greater than zero.

A t-test is appropriate because the sample sizes are less than 30.

The difference between the before and after competition scores of each gymnast should be calculated.

This gives us the difference scores, which are as follows:

0.1, 0.2, -0.02, -0.1, 0.1, 0.3, -0.2.

Next, we compute the mean and standard deviation of the differences. We have:

n = 7d

= 0.0714Sd

= 0.1466

Then we compute the t-statistic:

t = (d - µd) / (Sd / √n)

t = (0.0714 - 0) / (0.1466 / √7)

t = 1.5184

The degrees of freedom for this test are (n - 1) = 6.

Using a t-distribution table with 6 degrees of freedom and a significance level of 0.01 for a one-tailed test, we find that the critical t-value is 2.998.

For the given problem, the test statistic t = 1.5184 is less than the critical value of 2.998.

Therefore, we do not reject the null hypothesis.

There is insufficient evidence to support the claim that the training technique is effective in raising the gymnast scores.

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PLEASE HELP I WILL GIVE BRAINLIEST IF YOU DO BOTH
please give me a real answer

Answers

Answer:

Q2. angle 5 +angle 6=90°

angle 5+ 6°=90°

angle 5=90°-6°

angle 5=84°

Q.3 angle 8+angle 9=90°

angle 8 + 11°=90°

angle 8=90°-11°

angle 8=79°

Answer this question
y is less than or equal to three more than the product of x and negative two thirds put it on standard form

Answers

I hope this helps you

A flowerpot has a diameter of 15 centimeters. Which expression can be used to find its circumference, C, in centimeters?
A
C = 7.5 × π

B
C = 15 × π

C
C = 2 × 15 × π

D
C = 15 × 15 × π

Answers

The answer is C because the formula is 2 x pai x radius

HELP
I WILL GIVE YOU BRAINLIEST

Give the solution to this quadratic.
y = 3(x-1)^2

Answers

Answer:

y=3x^2-6x+3

Step-by-step explanation:

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

(1.5, -4)

Step-by-step explanation:

( -1, -5) and (4, -3)

[tex](\frac{-1+4}{2} ,\frac{-5-3}{2} )\\\\(\frac{3}{2} ,\frac{-8}{2} )\\\\(1.5,-4)[/tex]

Other Questions
QN 3:There are two developers interested in buying a piece of land in a busy town. You have been asked to estimate the residual value for each development using the following information: Developers profit: 15% Property management fees: 1.5% of Annual RentalIncome Professional fees: 10% of Building costs Voids & contingencies: 3% of Building costs Advertising, marketing & sales fees: 5% of completed development Site Acquisition fees: 2%a) Developer A wishes to develop an office building 4,000m2 gross external area (with 3,600m2 Net Internal Area). It is estimated that Building costs will be 2,500,000; Rent is 300 per m2; and the development will take 24 months. You also know that the finance rate is 9% and the developer s yield is 8%. (7 Marks)b) Developer B plans to develop luxury flats on the site. The developer is proposing 24 units which are expected to sell at 250,000 each. It is estimated that the development period will be 18 months with development costs reaching 2,100,000. The developer s finance rate is 10%. (7 Marks)c) Discuss the various techniques that can be used to estimate construction costs at the pre-contract stages, including outlining the procedures followed to arrive at fairly accurate cost reports. (6 marks) PARKA MAUR The War an Poverty has been gong on to decades While event spending continues to the are not a Pemprovide samples of new or cativ weys which makes might as they1. The War on Poverty has b for a given quantity, the total profit of a perfectly competitive firm is equal to the vertical distance between the firm's total revenue curve and its total cost curve. T/F Numerical Analysis and differential equation( please help with Q21 the polynomial p2(x) = 1 1 2 x2 is to be used to approximate f (x) = cos x in [1 2 , 1 2 ]. find a bound for the maximum error) John's employment wages are $ 158,000 for 2021. What is theemployee portion of the Social Security tax that will be deductedon this amount?a) $ 9,796.00b) $ 8,853.60c) $ 8537.40d) $ 10,534.05 A cell membrane at 37C is found to be permeable to Ca2+ but not to anions, and analysis shows the inside concentration to be 0.100 M and the outside concentration to be 0.001 M in Ca2+.a. What potential difference in volts would have to exist across the membrane for Ca2+ to be in equilibrium at the stated concentrations? Assume that activity coefficients are equal to 1. Give the sign of the potential inside with respect to that outside.b. If the measured inside potential is +100 mV with respect to the outside, what is the minimum (reversible) work required to transfer 1 mol of Ca2+ from outside to inside under these conditions? Factory Overhead Costs During May, Jernigan Company incurred factory overhead costs as follows: indirect materials, $3,080; indirect labor, $2,910; utilities cost, $1,280; and factory depreciation, $3,640. Journalize the entry to record the factory overhead incurred during May. If an amount box does not require an entry, leave it blank. Consider the following reaction:POCl3(g) POCl(g) + Cl2(g) Kc = 0.450A sample of pure POCl3(g) was placed in a reaction vessel and allowed to decompose according to the above reaction. At equilibrium, the concentrations of POCl(g) and Cl2(g) were each 0.150 M. What was the initial concentration of POCl3(g)?Answer: 0.200 M Answer the questions below using the following information on stocks A, B, and C. Stock ABC Beta 1.822.20.8 Assume the risk-free rate of return is 3% and the expected market return is 12% According to CAPM, what is the required return for stocks A, B, and C? Calculate the definite integral S4 **+2 2 dx, by: +2 a) trapezoidal rule using 6 intervals of equal length. b) Simpson's rule using 6 intervals of equal length. Round the values, in both cases to four decimal points describe and give an example ofTropical xerophytic forests and subtropical rain forests Charlie's Indifference curves have the equation y constant/x, where larger constants correspond to better indifference curves. Charlle strictly prefers the bundle (5, 13) to the bundle O None of the a Minerals can form in all of the following ways EXCEPT:a) Crystallization from a magmab) Metamorphismc) Physical weatheringd) Precipitation from hot springs it destroyed a european coalition of austrian, polish, bavarian, and saxon forces at vienna in 1683 and held the city for ten years. I know how to do part (a); I just need help with part (b). I have the answer, but I can't figure out how to arrive at it. I thought it would just be P(2,2) P(4,4) P(2,2) or 2!4!2!, but that's not working out for me.Here's the problem:At a college library exhibition of faculty publications, two mathematics books, four social science books, and two biology books will be displayed on a shelf. (Assume that none of the books is alike.)(a) In how many ways can the eight books be arranged on the shelf?40,320 ways(b) In how many ways can the eight books be arranged on the shelf if books on the same subject matter are placed together?576 ways Epsilon company is considering investing in Project X or Project Y. Project X generates the following cash flows: year ""zero"" = 339 dollars (outflow); year 1 = 255 dollars (inflow); year 2 = 290 dollars (inflow); year 3 = 335 dollars (inflow); year 4 = 186 dollars (inflow). Project Y generates the following cash flows: year ""zero"" = 230 dollars (outflow); year 1 = 120 dollars (inflow); year 2 = 100 dollars (inflow); year 3 = 200 dollars (inflow); year 4 = 120 dollars (inflow). The MARR is 10%. Compute the External Rate of Return (ERR) of the BEST project. Standing at a location, a person can throw a ball anywhere within a circle of radius 50 yards. A randomly chosen person attempts to throw a ball. What is the average and standard deviation of the distance thrown by any individual? LetA=102111215 and b=317.Define the linear transformation T:R2R2as T(x)=Ax. Find a vector xwhose image under Tis b.x=Is the vector xunique? (enter YES or NO) A new client has just been released from the hospital after intensive treatment for multiple injuries after a motorcycle accident. what type of care will he probably receive? Marks cost does not vary directly with time spent talking because