find ∫ c x 3 y 4 d x where c is the arc of the curve x = y 2 from (0,0) to (4,2)

Answer:

$460.

Step-by-step explanation:

\(Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\\)

So the price yesterday was $460

Answer:

165000

Step-by-step explanation:

simple interest

PV(1+it)

150000(1+5*.02)

=165000

if you need it then the interest earned would just be 165000-150000= 15000

A) 0.1741; B) 0.1844; C) 0.4114. Probability of randomly chosen family owning a condo is 0.1741, renting in general is 0.1844 and not owning a house is 0.4114.

A) To calculate the probability of randomly chosen family owning a condo: Divide the number of families who own a condo (739) by the total number of families (5000). 739/5000 = 0.1478. Round that to four decimal places and you get 0.1741.

B) To calculate the probability of randomly chosen family renting in general: Add the number of families who rent a house (456) and the number of families who rent an apartment (1428) and divide that by the total number of families (5000). (456 + 1428) / 5000 = 0.1844. Round that to four decimal places and you get 0.1844.

C) To calculate the probability of randomly chosen family not owning a house: Subtract the number of families who own a house (2377) from the total number of families (5000). 5000 - 2377 = 2623. Divide that by the total number of families (5000). 2623/5000 = 0.5246. Round that to four decimal places and you get 0.4114.

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Answer:

16000.00

Step-by-step explanation:

Based on the given conditions, formulate 16000 x 2.72^(6%x0)

Evaluate the equation/expression: 16000

Round the number: 16000.00

Answer:

16000.00

Answer:

Simplify the expression.

3x2/2

hope this makes sense lol

Step-by-step explanation:

Answer:

1.5 : 1 (or) 3/2

Step-by-step explanation:

Given expression,

→ 3x/2x

Let's simplify the expression,

→ 3x/2x

→ (3 ÷ 2)(x ÷ x)

→ (1.5)(1)

→ 1.5

Now the required ratio will be,

→ 3 : 2

→ 1.5 : 1

Hence, required ratio is 1.5 : 1.

Answer:

y = 1/25

Step-by-step explanation:

Reciprocal of y^(1/2)  : 1/y^(1/2)

1/y^(1/2) = 5

y^(1/2) = 1/5

y = (1/5)^2

Answer:

Step-by-step explanation:

Answer: He will need 49 tiles.

Step-by-step explanation:

Given: The patio will measure 13.5 feet by 43 feet.

Area of patio = 13.5 feet x 43 feet [Area = length x width]

= 580.5 sq. feet

Since area of each concrete tile = 12 sq. inch

Number of concrete tiles required to cover patio = (Area of patio) ÷ (area of each concrete tile)

= 580.5 ÷ 12

= 48.375 sq. inch ≈49

When the radius of the snowball is 4 and shrinks at a rate of 2 inches per hour then the rate of change of the surface area s is equal to 64π in²/hr

As the radius r is shrinking at the rate of two inches per hour, it can be represented as;

dr/dt = -2 in / hr

Here, the negative sign represents the shrinking of the snowball with time t.

The surface area of a sphere can be represented by the formula;

S = 4πr²

Now we differentiate S with respect to t by keeping radius (r) as a variable as follows;

dS/dt = d/dt (4πr²)

dS/dt = 4π (d/dt) (r²)

dS/dt = 4π × 2r (dr/dt)

Putting the value of r = 4 and calculated value of dr/dt = -2 in the equation as follows;

dS/dt = 4π × 2(4)(-2)

dS/dt = -64π

Therefore, the rate of change of surface area s is calculated to be 64π in²/hr.

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60 degrees is the measure of arc BC from the figure

The given diagram is a circle with several arc angles

arcAWB = 120 degrees

The line AC is a diameter

Since the sum of angles on a straight line is 180 degrees, hence:

arc AWB + arcBC = 180

arcBC = 180 - arc ZWX

arcBC = 180 - 120

arcBC = 60 degrees

Hence the measure of the arc BC from the diagram is 60 degrees

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1540 3/20

Step-by-step explanation:

Answer:

x=-3, y=9. (-3, 9).

Step-by-step explanation:

-9x-5y=-18

4x+5y=33

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

-5x=15

x=15/-5

x=-3

4(-3)+5y=33

-12+5y=33

5y=33-(-12)

5y=33+12

5y=45

y=45/5

y=9

Answer:

-9x - 5y = -184x + 5y = 33

At what points is the function y x+5 1²-8r+15 continuous, The function y = x^2 - 8x + 15 is continuous for all points.

To determine where the function y = x^2 - 8x + 15 is continuous, we need to check if there are any points where the function is discontinuous.

A polynomial function like y = x^2 - 8x + 15 is continuous for all real numbers. It does not have any points of discontinuity or restrictions on its domain. Therefore, the function is continuous for all points.

The average rate of change of the function f(x) = x + 1 over the interval [-1,1] can be found by evaluating the function at the endpoints of the interval and calculating the difference in y-values divided by the difference in x-values.

f(-1) = -1 + 1 = 0

f(1) = 1 + 1 = 2

The average rate of change is given by: (2 - 0) / (1 - (-1)) = 2 / 2 = 1.

Hence, the average rate of change of the function over the interval [-1,1] is 1.

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The preparation of the stockholders' equity statement for the year ended December 31, 2021, is as follows:

Court Casuals

Statement of stockholers' equity

December 31, 2021

Common Stock                        $116,000

Additional Paid-in Capital  $5,326,000

Retained Earnings              $3,677,000

Treasury Stock                         $-2,000

Total stockholders' equity  $9,117,000

The stockholders' equity statement includes the common stock, additional paid-in capital, retained earnings, and the subtraction of the treasury stock.

Court Casuals

Stockholers' equity on January 1, 2021

Common Stock $90,000

Additional Paid-in Capital $4,100,000

Retained Earnings $3,000,000

Net income for the year, 2021, = $900,000

May 18: Cash $1,300,000 Common Stock $26,000 Additional Paid-in Capital $1,274,000 (26,000 x $50 - $26,000)

May 31: Treasury Stock $4,500 Additional Paid-in Capital $175,500 (4,500 x $40 - $4,500) Cash $180,000

Jul 1: Cash Dividend $223,000 (90,000 + 26,000 - 4,500) x $2 Dividends Payable $223,000

July 31: Dividends Payable $223,000 Cash $223,000

August 18: Cash $130,000 Treasury Stock $2,500 Additional Paid-in Capital $127,500 (2,500 x $52 - $2,500)

Statement of Retained Earnings, December 31, 2021:

Beginning balance  $3,000,000

Net income                 $900,000

Dividends                     -223,000

Ending balance        $3,677,000

Beginning balance  $90,000

May 18: Cash              26,000

Ending balance       $116,000

Beginning balance  $4,100,000

May 18: Cash              1,274,000

May 31: Cash                -175,500

August 18: Cash            127,500

Ending balance      $5,326,000

May 31: Cash                 $4,500

August 18: Cash             -2,500

Ending balance            $2,000

Thus, we can summarize from the stockholders' equity that Court Casuals has outstanding shares of 114,000 (116,000 - 2,000) at $1 par, which is the difference between the ending balances of the common stock and the treasury stock accounts, after reflecting the equity transactions for the year.

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Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

That's

Slope of the through points

(15, -6) and (-3, 13) is

Since the lines are parallel their slope are also the same

So slope of parallel line = - 19/18

Equation of the line using point (4,2) and slope -19/18 is

We have the final answer as

Hope this helps you

Answer:y=-1.583x-8.332

Step-by-step explanation:

First find slope from two points (-6-13)/(15+3)=-1.583

Now line is parallel so the slope would be same for the other line passing through (4,2) now as the general equation of line is

y=mx+c

2=-1.583(4)+c

Solving for c equals to -8.332

So final equation is

y=1.583x-8.332

The statement <S and <H are equal in measure is False

The similarity statement is given as:

ΔRST is similar to ΔHGF

This means that:

Hence, the statement <S and <H are equal in measure is False

Because S equals G and R equals H

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We introduced three conditions that should be met before we construct a confidence interval for an unknown population proportion: Random, Normal, and Independent.

There are three crucial requirements that must be met in order to establish a confidence interval. These are Independent, Random, and Normal.

Any survey is carried out objectively.

It is required to assure randomness. An independent choice is equally likely to be made in a random sample. Similar to how the confidence interval is built, normal is used to confirm which phenomena are being employed or to correct the approach if necessary. In a similar vein, independent is crucial because it contains the facts to be analyzed. For the purpose of calculating the standard deviation, independent is used.

Therefore, it's crucial to consider the Random, Normal, and Independent criteria while building a confidence interval.

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a) To find the equation of the line tangent to the graph of f at x = e^2, we need to find the slope of the tangent line and the y-intercept. The slope of the tangent line is given by the derivative of f evaluated at x = e^2: f'(e^2) = (1 - ln(e^2))/(e^2)^2 = (1 - 2)/e^4 = -1/e^4

The y-intercept is found by plugging x = e^2 into the original function and finding the corresponding y-value: f(e^2) = ln(e^2)/e^2 = 2/e^2

We can use this information to write the equation of the tangent line in point-slope form: y - f(e^2) = -1/e^4(x - e^2)

b) To find the x-coordinate of the critical point of f, we need to find the value of x at which f'(x) = 0 or is undefined.

f'(x) = (1 - lnx)/x^2

When we set f'(x) to 0, we get 1 - lnx = 0 lnx = 1 x = e.

As a result, the critical point is at x = e.To determine whether this point is a relative minimum, a relative maximum, or neither, we need to find the second derivative of f(x) and evaluate it at x = e.

f''(x) = -(1 + lnx)/x^3

Evaluating at x = e, we get: f''(e) = -(1 + ln(e))/e^3 = -(1 + 1)/e^3 = -2/e^3

Since the second derivative is negative, the critical point is a relative maximum.

c) To find the x-coordinate of the point of inflection, we need to find the value of x at which f''(x) = 0.

f''(x) = -(1 + lnx)/x^3

Setting f''(x) = 0, we get 1 + lnx = 0 lnx = -1 x = e^-1

So the point of inflection is at x = e^-1.

d) To calculate f(x) = lnx/x, we need to substitute the value of x into the function. f(x) = lnx/x

For example, if we want to calculate f(2) f(2) = ln(2)/2 = 0.693147180559945/2 = 0.346573590279973

So f(2) = 0.346573590279973

The strategy for generating a hypothesis that does not fit among the options provided is option C) Thinking of things unilaterally.

Introspection, finding exceptions to the rule, and thinking about variables in terms of amount or degrees are all valid strategies for generating hypotheses.

Introspection involves reflecting on personal experiences, thoughts, and observations to generate hypotheses about a particular phenomenon or question.

Finding exceptions to the rule involves identifying instances that do not conform to the expected pattern or generalization, which can lead to the formulation of alternative hypotheses.

Thinking about variables in terms of amount or degrees involves considering how varying levels or quantities of a particular variable may impact the outcome or relationship being studied, which can help generate hypotheses about the nature and direction of the relationship.

On the other hand, "thinking of things unilaterally" is not a recognized strategy for generating hypotheses. The term "unilaterally" typically refers to actions or decisions made by one side or party without considering others.

Hypothesis generation involves considering multiple perspectives, factors, and possibilities, rather than approaching it unilaterally.The correct answer is option c.

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Answer:

Step-by-step explanation:

chicken

The following is an example of a quadratic inequality: x^2 + 2x - 8 > 0.

This is an example of a quadratic inequality because it is an inequality involving a quadratic function (x^2 + 2x - 8) which is of the form ax^2 + bx + c where a, b, and c are constants.

Quadratic inequalities can be solved by factoring the quadratic expression, using the Quadratic Formula, or graphing the inequality. In order to solve a quadratic inequality, it is important to understand the types of solutions that can be expected.

Solutions may include one solution, two solutions, or no solutions. Additionally, when graphing a quadratic inequality, the graph may be a line or a region. To determine which type of graph to use, the type of inequality must be identified (greater than or less than). If the inequality is a greater than or less than inequality, then the graph will be a region. If the inequality is an equal to inequality, then the graph will be a line.

Solving and graphing quadratic inequalities is an important skill in algebra as it allows us to visualize and solve complex problems.

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Answer:

Step-by-step explanation:

✓ A. (0, 0) [y < 3x + 2 → 0 < 2]

× B. (0, 2) [y < 3x + 2 → 2 < 2]

✓ C. (1, 4) [y < 3x + 2 → 4 < 5]

× D. (1, 7) [y < 3x + 2 → 7 < 5]

✓ E. (2, 6) [y < 3x + 2 → 6 < 8]

× F. (2, 8) [y < 3x + 2 → 8 < 8]

Answer:

x = 112

y = 76

Step-by-step explanation:

x + 68 = 180

x = 180 - 68

x = 112

y = 76 (Because of alternate interior angles)

Answer:

For three points to be collinear, the vectors connecting the first point to the second point and the first point to the third point must be parallel. That is, the cross product of these two vectors must be equal to the zero vector.

The vector connecting the first point (1, 2, 3) to the second point (4, 7, 1) is:

v = <4-1, 7-2, 1-3> = <3, 5, -2>

The vector connecting the first point (1, 2, 3) to the third point (x, y, 2) is:

w = <x-1, y-2, 2-3> = <x-1, y-2, -1>

To check if these two vectors are parallel, we can take their cross product and see if it is equal to the zero vector:

v x w = <(5)(-1) - (-2)(y-2), (-2)(x-1) - (3)(-1), (3)(y-2) - (5)(x-1)>

     = <-5y+12, -2x+5, 3y-5x-6>

For this cross product to be equal to the zero vector, each of its components must be equal to zero. This gives us the system of equations:

-5y + 12 = 0

-2x + 5 = 0

3y - 5x - 6 = 0

Solving this system, we get:

y = 12/5

x = 5/2

Therefore, the values of x and y that make the three points collinear are x = 5/2 and y = 12/5.

Answer:

Step-by-step explanation: it is C

Answer:15

Step-by-step explanation:3/4