Y Equals Negative Square Root Of The Quantity X Plus 3 End Quantity Minus 4 Y Equals Negative Square (2024)

Mathematics College

Y Equals Negative Square Root Of The Quantity X Plus 3 End Quantity Minus 4 Y Equals Negative Square (1)

Answers

Answer 1

The radical function y = √(-x + 3) - 4 has domain {x ∈ R I x ≥ 3} and range {y ∈ R I y ≤ -4}.

The correct option is 3.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

We have four functions:

1). y = -√(x - 3) + 4

2). y = -√(x + 3) - 4

3). y = √(-x + 3) - 4

4). y = √(-x - 3) + 4

When the value of the x is greater than or equal to 3.

Then we have only function 3 defined.

The domain of the function 3 is {x ∈ R I x ≥ 3}

And the range of the function 3 is {y ∈ R I y ≤ -4}

Hence, the required function is y = √(-x + 3) - 4.

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Related Questions

Please help me answer this question ASAP!!
Will mark as brainliest and 50+ points if correct!

Answers

Student B was correct by finding the product of 17 and 19

What is PEDMAS?

PEDMAS is simply described as a mathematical acronym that represents the different arithmetic operations in the sequential form of use in solving expressions and equations.

They represent;

ParenthesesExponentDivisionMultiplicationAdditionSubtraction

From the information given, we have that;

17(4 + 15)

expand the parentheses first, add the values , we get

17(19)

multiply the values

323

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The table below gives the conversions between volume and ounces of different kinds of flour. Kind of Flour Volume Ounces Bread Flour European-Style Artisan Bread Flour Perfect Pizza Blend Flour White Whole Wheat Flour Unbleached All-Purpose Flour 1 cup 1 cup 1 cup Question Help: Post to forum 1 cup 1 cup 4.5 3.75 4.25 4.75 4 Given that your recipe calls for 11.75 ounces of European-Style Artisan Bread Flour how many cups will you need? Enter your answer as a fraction or decimal.​

Answers

The number of cups needed is given as follows:

3.13 cups.

How to obtain the number of cups needed?

The number of cups needed is obtained applying the proportions in the context of the problem.

The recipe calls for 11.75 ounces of European-Style Artisan Bread Flour, while each cup of European-Style Artisan Bread Flour has a volume of 3.75 ounces, hence the number of cups needed is obtained as follows:

11.75/3.75 = 3.13 cups.

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On any given day in which it had rained, there was a 40% chance that the morning was cloudy. When you wake up in the morning, you notice that it is cloudy (event C). If you want to know the probability that it will rain (event R), which formula would you use? a.) PCR)P(R) P(RIC)= PC) b.) PCRPC) P(RIC)= P(R) c.) P(RIC)P(R) P(CIR)= P(C) d.) P(RIC)PC) PCR) = P(R)

Answers

The correct formula to use is Bayes' theorem, which relates the conditional probabilities of two events: P(R | C) = P(C | R) × P(R) / P(C) the option E.

where P(R | C) is the probability of raining given that it is cloudy, P(C | R) is the probability of it being cloudy given that it has rained, P(R) is the prior probability of raining, and P(C) is the probability of it being cloudy.

Using the given information, we have:

P(C | R) = 0.4 (the probability that the morning is cloudy given that it has rained is 0.4)

P(R) = the prior probability of raining, which is not given

P(C) = the probability of it being cloudy, which is not given

So we cannot directly calculate P(R | C) using the formula. We would need either the prior probability of raining or the probability of it being cloudy, or both, to compute the probability of raining given that it is cloudy.

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Complete Question

On any given day in which it had rained, there was a 40% chance that the morning was cloudy. When you wake up in the morning, you notice that it is cloudy (event C). If you want to know the probability that it will rain (event R), which formula would you use? a.) PCR)P(R) P(RIC)= PC) b.) PCRPC) P(RIC)= P(R) c.) P(RIC)P(R) P(CIR)= P(C) d.) P(RIC)PC) PCR) = P(R) e) P(R | C) = P(C | R) × P(R) / P(C)

Please help me solve these 3 math problems

Answers

The domain of the rational function h(x) = (x - 3)/(x² - 4) is equal to (-∞, -2) ∪ (-2, 2) ∪ (2, ∞).

The possible points that would lie on h(x) = x² - x + 1 are (3, 7).

True: (1, -1) is a point of the graph of f(x) = -2(x + 1)² + 7.

What is a domain?

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

From the graph of h(x) = (x - 3)/(x² - 4), the domain in interval notation and set builder notation is as follows;

Domain = (-∞, -2) ∪ (-2, 2) ∪ (2, ∞)

Domain = {x|x ≠ 2, -2}.

Next, we would determine possible x-value for the given quadratic function as follows;

h(x) = x² - x + 1

7 = x² - x + 1

7 - 1 = x² - x

6 = x² - x

x² - x - 6 = 0.

x² - 3x + 2x - 6 = 0.

x(x - 3) + 2(x - 3) = 0

(x + 2)(x - 3) = 0

x = 3 or x = -2.

For second quadratic function f(x) = -2(x + 1)² + 7, we have:

f(x) = -2(x + 1)² + 7

-1 = -2(1 + 1)² + 7

-1 = -2(2)² + 7

-1 = -8 + 7

-1 = -1 (True).

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Write a function name add that takes two parameter a and b, then return the output of a + b.

Answers

A function name add that takes two parameters a and b and returns the output of a + b is:

def add(a, b):

return a + b

In the function definition, parameters are listed between a set of parentheses and are separated by commas.

A function block begins with the def keyword, followed by the function name and parentheses ( ( ) ). Input parameters should be enclosed in these brackets. You can also define parameters within these brackets.

To create a function with output parameters, we have to follow these below steps.

By returning the resulting tuple: >>> >>> def func1(a, b):

Use global variables.

By passing a mutable (changeable in-place) object:

By passing a dictionary to be modified:

Bundle the value with a class instance.

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40$ to 50$ is what percent increase

Answers

Answer:

25 %

It's just like adding tax. You do $40 x 0.25 which equals $10. $40 + 25% increase = $50

a large square is divided into $4$ small congruent rectangles and a small square as shown. the areas of the large and small squares are $25$ and $7$, respectively. what is the length of a diagonal of a small rectangle? [asy] size(4cm); path p

Answers

As a result, rectangle problem solution is we are aware that d(8) = 2.83. (rounded to two decimal places)

What is a rectangle?

A rectangular is a square to four right angles in the Euclidean plane. It is also known as a rectangle that appears to have equal angles, or an equiangular quadrilateral. A straight angle is an additional option for the parallelogram. A square has four edges that are the same length. A quadrilateral with four 90° vertices and four equal sides is rectangular in form. As a result, it is sometimes referred to as a rectangular parallelogram.

Here,

Let's write x for the small square's side length and y for the big square's side length. Since the tiny square's area is 7, the equation is: x2 = 7; y2 = 25.

As a result, each rectangle's size is:

=> w(y - 2w) = 4.5

By enlarging and streamlining this equation, we arrive at:

=> -2w² + wy = 4.5

Rearranging gives us:

2w^2 - wy + 4.5 = 0

When we solve for w using the quadratic method, we obtain:

w = [y ± √(y² - 36)] / 4

Since we are aware that y2 = 25, we can enter this into the equation to obtain:

w = [y ± √(25 - 36)] / 4

w = [y ± √(-11)] / 4

Y must be positive because it is a square's edge length, so we have:

y < 6

So,

d² = x² + w²

When we replace w = [y - (y2 - 36)] / 4 with y2 = 25, we obtain:

d^2 = 7 + [y - √(y² - 36)]

d^2 / 16

By replacing x with 6, we obtain:

d^2 = 7 + [y - √y² - 36)² / 16 < 7 + (6 - 5) (6 - 5)

d² = 8

As a result, we are aware that d(8) = 2.83. (rounded to two decimal places)

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Roberto had $20. He bought a soccer ball that
cost m dollars. He now has less than $5 left.
Which inequality represents this situation?
A. 20-m < 5
C. m -20 < 5
B. 20-m>5
D. m-20 > 5

Answers

Answer: A. 20 - m < 5

Step-by-step explanation:

The money after Roberto bought the soccer ball that costs $m:

$20 - $m

now he has less than $5.

So the value should be less than $5

$20 - $m < $5

20 - m < 5

Answer:

20-m < 5

Step-by-step explanation:

start with the 20 then take it away by m thsts why its 20 - m < 5 and not m - 20 < 5

x+y =-3 slope intercept form

Answers

Answer:

y = -x - 3

Step-by-step explanation:

To convert the linear equation x + y = -3 to slope intercept form, we simply have the isolate y on one side.

We can isolate y by subtracting x from both sides.

x + y = -3

-x -x

y = -x - 3

consider the below four correlation coefficients between two variables. which correlation coefficient indicates the weakest relationship between variables? -0.65 0.05 0.82 -3.45

Answers

The correct answer is 0.05, because the weakest relationship between the variables would be the one closest to 0, which is 0.05.

A correlation coefficient measures the strength and direction of the linear relationship between two variables, with values ranging from -1 to 1.

A value of -1 indicates a perfect negative linear relationship, 0 indicates no linear relationship, and 1 indicates a perfect positive linear relationship. Therefore, the correlation coefficient that indicates the weakest relationship between the variables would be the one closest to 0, which is 0.05.

The other values indicate moderate to strong linear relationships, with -0.65 indicating a moderate negative linear relationship, 0.82 indicating a strong positive linear relationship, and -3.45 indicating a problem with the data as correlation coefficients cannot be less than -1 or greater than 1.

Therefore, the correct answer is 0.05.

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the sum of one-seventh of a number and five-sixths of the number?

Answers

Answer:

hi you need to be Betta at cash s

NEED HELP ASAP PLS AND THX PIC IS ATTACHED

Answers

Based on the information in the graph, it can be inferred that figure A''B''C'' was rotated 90° and was subsequently reflected in the bottom left.

What does the image show us?

The image shows the figure ABC a triangle in the upper right part of a Cartesian plane. There, it is seen that the coordinates of these figures are:

A = (1,1)B = (2,4)C = (1,3)

In the upper left part we see the same figure but with a 90° rotation to the left. Then the coordinates of this figure would be:

A' = (-1,1)B' = (-4, 2)C' = (-1, 3)

Finally, in the lower left part we see the same figure, but this time it has been reflected from the quadrant above. Then the coordinates of this figure would be:

A'' = (-1,-1)B'' = (-4,-2)C'' = (-1,-3)

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How do you figure out compound interest

Answers

The compound interest can be calculated by

monthly interest rate is raised to the number of emulsion ages minus one, and the starting principal amount is multiplied by both of these factors.

What is Compound Interest?

The interest that's calculated using both the principal and the interest that has accrued during the former period is called emulsion interest. It differs from simple interest in that the star isn't taken into account when determining the interest for the posterior period with simple interest.

Given:

The monthly interest rate is raised to the number of compound ages minus one, and the starting top quantum is multiplied by both of these factors.

The performing value is latterly subtracted from the loan's entire original quantum.

Compound interest = total quantum of principal and interest in future( or unborn value) minus principal amount at present (or present value)

= [P[tex](1 + i)^n[/tex]] – P

= P [[tex](1 + i)^n[/tex]– 1]

Where

P = principal

i = nominal periodic interest rate in chance terms

n = number of compounding periods

For illustration,

Consider a$ 10,000 loan with a 5 interest rate that grows every time. What would the interest rate be? This is what it would be

= $10,000 [(1 + 0.05)³ – 1]

= $10,000 [1.157625 – 1]

= $1,576.25

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Find the point on the curve r(t)=(5sint)i+(5cost)j+12tk at a distance 39π units along the curve from the origin in the direction of increasing arc length.

Answers

The point on the curve that is a distance of 39π units from the origin in the direction of increasing arc length is (-5, 0, 36π).

We want to find the point on the curve that is a distance of 39π units from the origin along the curve in the direction of increasing arc length. To do this, we will need to use the arc length formula:

L = ∫ ||r'(t)|| dt

where L is the arc length, r'(t) is the derivative of r(t), and || || denotes the magnitude (length) of a vector.

We can simplify r(t) to:

r(t) = 5 sin(t) i + 5 cos(t) j + 12t k

Taking the derivative, we get:

r'(t) = 5 cos(t) i - 5 sin(t) j + 12 k

The magnitude of r'(t) is:

||r'(t)|| = sqrt((5cos(t))^2 + (-5sin(t))^2 + 12^2) = sqrt(169) = 13

Now we can set up the integral for arc length:

L = ∫ ||r'(t)|| dt

= ∫13 dt

= 13t + C

where C is the constant of integration.

To find the value of C, we use the fact that the starting point is the origin (when t = 0), so the arc length at that point is zero:

L(0) = 0

13(0) + C = 0

C = 0

So the arc length formula simplifies to:

L = 13t

We want to find the point on the curve that is a distance of 39π units from the origin in the direction of increasing arc length. To do this, we set L = 39π and solve for t:

39π = 13t

t = 3π

Now we substitute t = 3π back into the original equation for r(t):

r(3π) = 5 sin(3π) i + 5 cos(3π) j + 12(3π) k

= -5i + 0j + 36πk

So, (-5, 0, 36) is the point on the curve that is 39 units away from the origin and is pointing in the direction of increasing arc length.

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Prove the following statement directly from the definitions. The product of any two even integers is a multiple of 4. Proof: Let m and n be any two even integers. By definition of even there exists an integer r such that m =| 2r , and there exists an integer s such that n = 2s By substitution, mn = 4 · which is an integer because products of integers are integers. Thus mn = 4 · (an integer), and so 4|mn by definition of divisibility.

Answers

The statement 'the product of any two even integers is a multiple of 4.' is proved.

Here, we need to prove the statement ' The product of any two even integers is a multiple of 4.'

Let us assume that m and n be any two even integers.

By definition of even integer, there exists an integer r such that m = 2r , and there exists an integer s such that n = 2s

Now consider the product of integers m and n

m × n

= 2r × 2s

= 4rs, which is an integer because products of integers are integers. Therefore, mn = 4 · (an integer),

and so 4|mn ...............by definition of divisibility.

Hence proved.

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Answers

The expression in the form of Quotient, Remainder is:

x + 1, R 4

Option A is the correct answer.

What is an expression?

An expression isa way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(x² + 3) ÷ (x - 1)

Using synthetic division.

x - 1 ) x² + 3 ( x + 1

x² - x

(-) (+)

x + 3

x - 1

(-) (+)

4

This means,

The remainder is 4.

The quotient is x + 1.

Now,

Quotient, Remainder = x + 1, R 4

Thus,

Quotient, Remainder = x + 1, R 4

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Ms. Sair gave her class to read. Carrie read 5 pages in that time. At what rate, in pages
per hour, does Carrie read?

Answers

The rate in pages per hour is 27 1/2 pages per hour.

What is the rate?

In order to determine the rate at which Carrie reads per hour, divide the total number of pages read by the equivalent time in hours.

Rate = number of pages read / number of hours it tool

Number of hours = number of minutes / 60 = 12 / 60 = 1/5

5 1/2 ÷ 1/5

11/2 x 5 = 55/2 = 27 1/2 pages per hour

Here is the complete question:

Ms. Robinson gave her 12 minutes to read. Carrie read 5½ pages in that time. At what rate, in pages per hour, did Carrie read?

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Please help me out! ACCOUNTING CHAP 7 RECONCILIATION

Answers

The Adjusted bank and book balance equals the amount of $9,850 in the Bank Reconciliation.

Bank Reconciliation Statement for July 31, 20Y5 for Stone Systems

Particulars Amount

Balance on bank statement $10,240

Additions:

Outstanding Deposits $3,840

Deductions:

Outstanding checks $3,690

Bank Error (600-60) $540

Adjusted bank balance $9,850

Balance in books $7,795

Additions:

Note Collection plus interest $2,000

Incorrect recording of check ($880-$800) $80

Deductions

Bank Service charges $25

Adjusted book balance $9,850

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The product is to be marked up 17%. Its current price is $120.85. What will its price be after markup?

Answers

The Price after Mark up will be $141.3945.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

The product is to be marked up 17%.

Its current price is $120.85.

Now, the Price after marked up is

= 120.85 + 17% of 120.85

= 120.85 + 20.5445

= $141.3945

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HELP WITH C
5mph buffer what is the new function and graph?

Answers

The function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The coordinate points from the graph are (10, 550) and (30, 200).

Here, slope = (200-550)(30-10)

= -350/20

= -35/2

= -17.5

Substitute m= -17.5 and (x, y)=(10, 550) in y=mx+c, we get

550=-17.5(10)+c

c=550+175

c=725

So, the equation is y= -17.5x+725

Thus, f(n)= -17.5n+725

a) The fine at every speed should go up by $10.

So, the coordinates are (10, 560) and (30, 210)

New slope (m)= (210-560)(30-10)

= -350/20

= -35/2

= -17.5

Substitute m= -17.5 and (x, y)=(10, 560) in y=mx+c, we get

560=-17.5(10)+c

c=550+175

c=735

So, the equation is y= -17.5x+735

Thus, f(n)= -17.5n+735

b) The fine at every speed should be doubled in construction zones.

So, the coordinates are (20, 550) and (60, 200)

New slope (m)= (200-550)(60-20)

= -350/40

= -8.75

Substitute m= -8.75 and (x, y)=(20, 550) in y=mx+c, we get

550=-8.75(10)+c

c=550+87.5

c=637.5

So, the equation is y= -8.75x+637.5

Thus, f(n)= -8.75n+637.5

Therefore, the function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.

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solve the problem: -(2x+4)=3x-5

Answers

Answer:

x = 1/5

Step-by-step explanation:

Distributing the first half, we get -2x - 4 = 3x - 5

Adding 5 and 2x on both sides: 1 = 5x

Dividing by 5: x = 1/5

The Column of Trajan was built with?

A- a long shaft of marble.

B- concrete and wooding forms.

C- granite blocks faced with ceramic tiles.

D- marble blocks that were stacked.

Answers

Step-by-step explanation:

The Column of Trajan was built with a long shaft of marble. The column was constructed in 113 AD to commemorate the victories of Emperor Trajan in his campaigns in Dacia (modern-day Romania). The column stands at 30 meters (98 feet) tall, including the pedestal, and has a diameter of 3.7 meters (12 feet). The column is decorated with a spiral frieze that winds up the column depicting scenes of Trajan's victories over the Dacians. The column is one of the best-preserved examples of Roman monumental sculpture and is considered a masterpiece of Roman art.

Answer:

The Column of Trajan was built with B- concrete and wooden forms.

Step-by-step explanation:

The Column of Trajan is a Roman triumphal column that commemorates the victories of the Roman emperor Trajan in the Dacian Wars. It is located in Rome, Italy and stands at a height of 98 feet (30 meters) tall. The column was constructed between 106 and 113 CE and is made of Carrara marble. However, the interior of the column was not constructed of solid marble blocks, but rather a series of 20 large drums made of concrete and encased in marble. These drums were created using wooden forms and poured concrete, which was then faced with marble. The reliefs that cover the exterior of the column depict scenes from Trajan's victories and were also carved into the marble casing.

James had a large bag of raisins and he ate3/4 of it over the weekend. Monday he decided to share the remaining raisins with 2 friends so that each of 3 of them get a fair share. What portion of the whole bag of raisins did each of friends get

Answers

The share of the whole bag of raisins individually of the friends get will be 1/12.

What is Algebra?

Algebra is the study of ideational symbols, while logic is the manipulation of all those opinions.

James had a large bag of raisins and he consumed 3/4 of it over the weekend. Then the share of raisins left is given as,

⇒ 1 - 3/4

⇒ 1/4

Monday he determined to share the remaining raisins with 2 friends so that individuals of the 3 of them fetches a fair share. Then the portion of the entire bag of raisins did separately of the friends get will be given as,

⇒ (1/4) / 3

⇒ 1 / (4 x 3)

⇒ 1 / 12

The share of the whole bag of raisins separately among the friends get will be 1/12.

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Expand the brackets and simply where possible. 9 ( 4 x − 3 + 5 x )

Answers

Answer:

81x-27

Step-by-step explanation:

=9*4x-3*9+9*5x

=36x-27+45x

=81x - 27

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K
Phill and Dottie Turner have a new grandchild, Brenda. They want to create a trust fund for her that will yield $220,000 on her 18th birthday.
a) What lump sum would they have to deposit now at 5.6%, compounded continuously, to achieve $220,000?
b) Phill and Dottie decide instead to invest a constant money stream of R(t) dollars per year. Find R(t) such that the accumulated future value of the
continuous money stream is $220,000, assuming an interest rate of 5.6%, compounded continuously.
a) To achieve $220,000, they would have to deposit :
(Round to the nearest cent as needed.)

Answers

The evaluation of the amount required for the trust fund with a compounding interest rate on the investment as follows;

a) Phill and Dottie Turner will have to invest $82,503.5 to achieve $220,000 on Brenda's 18th birthday

b) The amount to be invested per year is about $7,282

What is a compound interest rate?

A compound interest is one in which the interest rate is applied on the further interest rates.

The amount the trust fund Phill and Dottie Turner plan to create for their new grandchild Brenda will yield on her 18th birthday = $220,000

a) The compound interest rate of the required lump sum to be deposited = 5.6%

Let P represent the lump sum, we get;

A = P·(1 + r)ⁿ

Where;

A = The amount achieved by the trust fund = $220,000

r = The annual percentage rate = 5.6% = 0.056

n = The number of periods = 18 years

Therefore;

220,000 = P × (1 + 0.056)¹⁸

P = (220,000 ÷ ((1 + 0.056)¹⁸)) ≈ 82503.5

The lump sum that would need to be deposited is about $82,503.5

b) The continuously streaming amount R(t) per year such that the accumulated future value is $220,000, can be found as follows

Future value of the annuity, FV, can be found using the following formula;

[tex]FV_A = R(t)\times \left(\frac{e^{r\cdot t}-1}{e^r-1} \right)[/tex]

Therefore;

[tex]220000 = R(t)\times \left(\frac{e^{0.056\times 18} - 1}{e^{0.056} - 1} \right)[/tex]

[tex]R(t)=\frac{220000}{ \left(\frac{e^{0.056\times 18} - 1}{e^{0.056} - 1} \right)} \approx 7282[/tex]

The amount to be invested per year using a continuously compounding interest rate, to have a stream that accumulates to $220,000 is about $7282 per year

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at what angle of incidence (again from the air side) in degrees will the reflected and refracted rays be perpendicular to each other

Answers

The angle of incidence will be the Brewster's angle, which is around 57.3°.

When light hits a surface, it can be reflected and refracted. The angle of incidence is the angle between the incoming light and the normal line to the surface. The normal line is a line perpendicular to the surface. When light is incident from the air side, the angle at which the reflected and refracted rays are perpendicular to each other is known as the Brewster's angle. This angle is approximately 57.3° for light with a wavelength of 550nm. At this angle, the reflected and refracted rays will be perpendicular to each other. The refracted ray is also known as the light's angle of refraction. If the angle of incidence is greater than the Brewster's angle, the angle of refraction will be smaller than 90°, meaning that the refracted and reflected rays will not be perpendicular to each other.

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The complete question is

at what angle of incidence (again from the air side) in degrees will the reflected and refracted rays be perpendicular to each other as the light's angle of refraction.

in the diagram alongside, establish that a pair if triangle is similar and find x:​

Answers

The value of x in the triangle is 14 cm.

How to find the midsegment of a triangle?

The mid segment is a line segment that joins the mid points of two sides of a triangle. It is parallel to the third sides and is half the length of the third side.

Therefore, let's find the length x of the triangle as follows:

Base on the mid segment principle,

PQ = 6 cm

SR = TS

If SR = 7 cm

Hence,

x = SR + TS

x = 7 + 7

x = 14 cm

Therefore,

TR = x = 14 cm

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the mayor of a large city will run for governor if he believes that more than 30 percent of the voters in the state already support him. he will have a survey firm ask a random sample of n voters whether or not they support him. he will use a large sample test for proportions to test the null hypothesis that the proportion of all voters who support him is 30 percent or less against the alternative that the percentage is higher than 30 percent. suppose that 35 percent of all voters in the state actually support him. in which of the following situations would the power for this test be highest?

Answers

The power of the test will be highest when the sample size is large and the significance level is small.

The power for this test would be highest in the following situations:

When the sample size n is largeWhen the true proportion of voters who support the mayor is significantly higher than 30 percentWhen the significance level (alpha) is high

There are a few ways to increase the power of the test:

Increase the sample size (n) of the survey.Decrease the significance level (alpha) of the test.Use a one-tailed test instead of a two-tailed test, since the alternative hypothesis is that the percentage is higher than 30%.Increase the actual proportion of voters who support the mayor from 35%.

The greater the sample size, the greater the test's power. The smaller the significance level, the greater the power of the test. The larger the difference between the true proportion and the null hypothesis value, the greater the power of the test.

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using the shell method, determine the volume of a solid formed by revolving the region bounded by the curves , about the line . y=12x−11,y=x−−√, and x=0.V=2π∫(x−−√)2−(12x−11)2dx

Answers

The volume of the solid is approximately 107.7 cubic units on revolving the region bounded by the curves , about the line . y=12x−11,y=x−−√, and x=0.V=2π∫(x−−√)2−(12x−11)2dx .

To use the shell method to determine the volume of the solid formed by revolving the region bounded by the curves y=12x−11, y=x−√, and x=0, about the line y=0, we first need to find the limits of integration.

The curves intersect at x=1, so we can integrate from x=0 to x=1. At any given value of x between 0 and 1, we can find the height of the solid by subtracting the y-coordinate of the curve y=12x−11 from the y-coordinate of the curve y=x−√. This gives us the function h(x) = (x−√)−(12x−11) = 11−√x−12x.

To use the shell method, we imagine the solid as a series of thin, hollow cylinders stacked side by side. The height of each cylinder is given by h(x), and the radius is given by the distance from the line y=0 to the curve y=12x−11.

Therefore, the volume of each cylinder is given by V = 2πrhΔx, where r = 12x−11 and Δx is a small width of the cylinder. Integrating this expression over the limits of integration from x=0 to x=1 gives us the total volume of the solid:

V = 2π∫0^1 (12x−11)(11−√x−12x) dx

Simplifying this expression, we get:

V = 2π∫0^1 (11−√x) (12−11x) dx

We can evaluate this integral using integration by substitution, letting u = 11−√x, so du/dx = −1/(2√x), and dx = −2u du. Substituting these into the integral, we get:

V = 2π∫11^8 u (2u/11−1) (−2u) du

Simplifying further, we get:

V = 8π∫8^1 u^2 (1−u/11) du

Integrating this expression gives us:

V = 8π [u^3/3−u^4/44]8^1

V = 8π (512/3−511/44)

V = 8π (1497/44)

Therefore, the volume of the solid is approximately 107.7 cubic units.

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15s + 23(1903 - s) = ​

Answers

-8s + 43769

Hope this helped

Answer:

[tex] \sf \: -8s + 43769 [/tex]

Step-by-step explanation:

Now we have to,

→ Simplify the given expression,

The expression is,

→ 15s + 23(1903 - s)

Let's simplify the expression,

→ 15s + 23(1903 - s)

→ 15s + 23(1903) - 23(s)

→ 15s + 43769 - 23s

→ (15s - 23s) + 43769

→ (-8s) + 43769

→ -8s + 43769

Hence, answer is -8s + 43769.

Y Equals Negative Square Root Of The Quantity X Plus 3 End Quantity Minus 4 Y Equals Negative Square (2024)
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