F(x)=square root of 9-kx^2/k show your work

Answer:

Independent

Step-by-step explanation:

Flipping a coin is independent of each flip.

Answer:

Independent

Step-by-step explanation:

The flipping of two coins are an independent event. The reason for this is that one coin flip does not affect the outcome of the other flip. An example of a dependent event would be coat sales and weather, as cold weather would affect the amount of coats sold.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

The correct answer is

A.    [tex]pq^4r^4[/tex]

Step-by-step explanation:

Answer:25.12

Step-by-step explanation:

Use the second equation

C = 8(3.14) = 25.12

Answer:

Area = 50.24 feet²

Circumference = 25.12 feet

Step-by-step explanation:

If the circle's diameter is 8 feet, then the radius will be 4 feet.

A=4²(3.14)

=16(3.14)

=50.24

C=2π(4)

C=8π

C≅25.12

Step-by-step explanation:

87,959 ==> 88,000 is the nearest hundred

The answer is:

Work/explanation:

When rounding to the nearest hundredth, round to 2 decimal places (DP).

Which means we should round to 5.

5 is followed by 9, which is greater than or equal to 5. So, we drop 9 and add 1 to 5 :

87. 96

In a Production Possibility Curve (PPC) with product output Y on the vertical axis and product output X on the horizontal axis the following points are described as follows.

- Point Q represents an unemployment rate of 100 percent. It is located at the origin, where both axes intersect, indicating no product output due to complete unemployment.

- Point R signifies full employment and is located at the maximum product output on the X-axis, showing the economy's capacity when all resources are fully utilized.

- Point S indicates where the US economy typically operates, within the usual range of product output levels on the X-axis, reflecting a balanced unemployment rate that includes frictional and structural unemployment.

Learn more about PPC:
https://brainly.com/question/28193924
#SPJ1

Answer:

6b + 5n = 101

Step-by-step explanation:

The correct system of equations that can be used to find b, the number of bracelets Ily sold, and n, the number of necklaces she sold is:

b + n = 18

6b + 5n = 101

In this system, the first equation represents the total number of items sold, which is 18. Since b represents the number of bracelets and n represents the number of necklaces, the equation b + n = 18 reflects that the total number of bracelets and necklaces sold should add up to 18.

The second equation represents the total amount of money Ily earned from selling bracelets and necklaces. Since bracelets were sold for $6 each and necklaces for $5 each, the equation 6b + 5n = 101 represents the total amount of money earned, which is $101.

Therefore, the correct system of equations is:

b + n = 18

6b + 5n = 101

The number of paperback copies sold is 366,300.

Let's solve the problem :

Calculate the number of hardback copies sold.

We are given that 35,000 hardback copies were sold before the paperback version was issued.

Calculate the number of paperback copies sold.

From the time the first paperback copy was sold until the last copy of the novel was sold, nine times as many paperback copies as hardback copies were sold.

Let's assume the number of hardback copies sold is H.

Therefore, the number of paperback copies sold would be 9H.

Set up the equation for the total number of copies sold.

The problem states that a total of 442,000 copies of the novel were sold in all. We can set up the equation as follows:

H + 9H + 35,000 = 442,000

Solve the equation for H.

Combining like terms, we have:

10H + 35,000 = 442,000

10H = 442,000 - 35,000

10H = 407,000

H = 40,700.

Calculate the number of paperback copies sold.

We already know that the number of paperback copies sold is 9 times the number of hardback copies sold.

Therefore, the number of paperback copies sold would be:

9H = 9 [tex]\times[/tex] 40,700 = 366,300

For similar question on equation.

https://brainly.com/question/22688504  

#SPJ8

The present value of the stream of savings estimates is approximately $200,256.

To determine whether the firm should make the investment in new software, we need to calculate the present value of the stream of savings estimates and compare it to the cost of the software.

The present value (PV) of the savings estimates can be calculated using the formula:

[tex]PV = C1/(1+r)^1 + C2/(1+r)^2 + ... + Cn/(1+r)^n[/tex]

Where C1, C2, ..., Cn represent the savings in each year, r is the minimum annual return required (8% or 0.08), and n is the number of years (5).

Given the savings estimates in the table, we have:

C1 = $35,000

C2 = $45,000

C3 = $50,000

C4 = $55,000

C5 = $60,000

Plugging these values into the present value formula and using the minimum annual return rate of 8% (0.08), we can calculate:

[tex]PV = 35000/(1+0.08)^1 + 45000/(1+0.08)^2 + 50000/(1+0.08)^3 + 55000/(1+0.08)^4 + 60000/(1+0.08)^5[/tex]

Evaluating this expression, we find that the present value of the stream of savings estimates is approximately $200,256.

Since the present value of the savings estimates is greater than the cost of the software ($172,395), the firm should make this investment. The investment is expected to provide a return greater than the minimum required annual return of 8%.

For more such questions on Stream

https://brainly.com/question/30003494

#SPJ8

The present value of the stream of savings estimates is $149,622.

To determine if the firm should make the investment, we need to calculate the present value of the stream of savings estimates and compare it to the initial cost of the software.

The present value (PV) of the savings estimates can be calculated using the formula:

PV = C1/(1+r)¹ + C2/(1+r)² + ... + Cn/(1+r)ⁿ

Where:

PV = Present value

C1, C2, ..., Cn = Cash flows in each period

r = Discount rate (minimum annual return)

Given the savings estimates in the table over a 5-year period and a minimum annual return of 8% (0.08), we can calculate the present value as follows:

PV = $15,000/(1+0.08)¹ + $35,000/(1+0.08)² + $50,000/(1+0.08)³ + $45,000/(1+0.08)⁴ + $40,000/(1+0.08)⁵

PV = $13,888.89 + $30,864.20 + $41,152.46 + $34,682.34 + $29,034.09

PV = $149,621.98 (rounded to the nearest dollar)

The present value of the savings is higher than the initial cost of the software ($172,395), the firm should make this investment if it requires a minimum annual return of 8% on all investments.

For similar questions on savings

https://brainly.com/question/30101466

#SPJ8

Answer:

The five-number summary of the data represented by the given box plot is: Min: 72, Q1: 76, Median: 79, Q3: 80.5, Max: 84. Therefore, the correct option is: Min: 72, Q1: 76, Median: 79, Q3: 80.5, Max: 84.

Step-by-step explanation:

The answer is:

3x + 12

Work/explanation:

To simplify this expression, we will use the distributive property:

[tex]\sf{3(x+4)}[/tex]

Distribute the 3:

[tex]\sf{3\cdot x + 3 \cdot 4}[/tex]

[tex]\sf{3x+12}[/tex]

Answer:

  A. The multiplication that takes place while distributing comes before addition and subtraction in order of operations.

Step-by-step explanation:

You want to know the error that adding -4+4 on the left and 1+1 on the right represents in the solution of the equation ...

The correct solution procedure would be to eliminate the parentheses using the distributive property as a first step:

  4x -6x +8 +4 = -x +3x +3 +1

Comparing this to Maricella's first step, we see that she ignored the step of using the distributive property to multiply the constants inside parentheses by the factor outside. The appropriate description of Maricella's mistake is ...

A. The multiplication that takes place while distributing comes before addition and subtraction in order of operations.

__

Additional comment

Adding like terms would give ...

  -2x +12 = 2x +4

  8 = 4x . . . . . . . . . . . add 2x-4 to both sides

  2 = x . . . . . . . . . . divide by 4

<95141404393>

Answer:

8

Step-by-step explanation:

i took the test mde 100

The surface area of a cylinder is 284m² and it's volume is 366.9m³

To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:

From the given question, the data are;

a. The surface area of the cylinder is;

SA = 2π(4)² + 2π(4)(7.3)

SA = 283.999≈284m²

b. The volume of the cylinder is

v = πr²h

v = π(4)²(7.3)

v = 366.9m³

Learn more on surface area and volume of a cylinder here;

https://brainly.com/question/27440983

#SPJ1

The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc RS = 2(m∠RQS)

Also arc AD = 140°

2(m∠RQS) = 140°

m∠RQS = 140°/2 {divide through by 2}

m∠RQS = 70°

Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

Read more about angle here:https://brainly.com/question/24423151

#SPJ1

The different coordinates after respective rotation are:

1) A'(2, 0)

2) A'(0, -2)

3) A'(-2, 0)

There are different methods of transformation such as:

Translation

Rotation

Dilation

Reflection

Now, the coordinate of the given point A is: A(0, 2)

1) The rule for rotation of 90 degrees clockwise is:

(x, y) →(y,-x)

Thus, we have:

A'(2, 0)

2) The rule for rotation of 180 degrees is:

(x, y) → (-x,-y)

Thus, we have:

A'(0, -2)

3) The rule for rotation of 180 degrees is:

(x, y) → (-y,x)

Thus, we have:

A'(-2, 0)

Read more about Rotation coordinates at: https://brainly.com/question/29141821

#SPJ1

Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.

To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:

I = P * r * t

Where:

I = Interest earned

P = Principal (initial investment)

r = Interest rate per year (expressed as a decimal)

t = Time (in years)

Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:

4850 * 0.076 * t = 8000

Simplifying the equation:

369.8t = 8000

To find t, we divide both sides of the equation by 369.8:

t ≈ 8000 / 369.8 ≈ 21.62 years

For such more question on interest rate

https://brainly.com/question/29451175

#SPJ8

The proportion by which the later temperature exceeds the earlier temperature is 3/5 or 3:5.

To determine the proportion by which one temperature exceeds the other, we need to calculate the difference between the two temperatures and express it as a proportion of the starting temperature.

First, calculate the temperature difference between 7:00 am and 3:00 pm:

temperature difference = 24°C - 15°C = 9°C

Now, express the temperature difference as a proportion of the starting temperature (15°C).

Proportion = Temperature difference / Starting temperature

Proportion = 9/15

Proportion = 3/5

Learn more about proportion on:

brainly.com/question/1781657

#SPJ1

Question in English

In a city the temperature was measured at 7:00 am and the value was 15°C, then it was measured at 3:00 pm the value was 24°C. Starting from the level of measurement of this variable, in what proportion does one temperature exceed the other, analyze your answer.

The transformed matrix, after interchanging R1 and R2, is:

2 9 4 5

8 -2 1 7

1 4 -4 9

To interchange rows R1 and R2, we swap the positions of the first and second rows in the matrix. This operation can be performed by physically swapping the rows or by using the properties of matrix operations. Let's apply this row operation to the given matrix:

Original matrix:

8 -2 1 7

2 9 4 5

1 4 -4 9

Interchanging R1 and R2, we get:

2 9 4 5

8 -2 1 7

1 4 -4 9

After switching R1 and R2, the modified matrix is:

2 9 4 5

8 -2 1 7

1 4 -4 9

In the transformed matrix, the original first row (8 -2 1 7) becomes the second row, and the original second row (2 9 4 5) becomes the first row. The remaining rows (R3) remain unchanged.

Therefore, R1 and R2 are switched, and the resulting matrix is:

2 9 4 5

8 -2 1 7

1 4 -4 9

for such more question on transformed matrix

https://brainly.com/question/4289712

#SPJ8

The three arithmetic means between 10 and 130 are 40, 70, and 100.

To find the three arithmetic means between 10 and 130, we need to calculate the common difference between consecutive terms.

The common difference (d) can be found using the formula:

d = (last term - first term) / (number of terms - 1)

In this case, the first term is 10, the last term is 130, and we need to find three arithmetic means.

d = (130 - 10) / (3 + 1) = 120 / 4 = 30

Now, we can calculate the three arithmetic means by adding the common difference to the previous term:

First arithmetic mean = 10 + 30 = 40

Second arithmetic mean = 40 + 30 = 70

Third arithmetic mean = 70 + 30 = 100

So 40, 70, and 100 are the three arithmetic means between 10 and 130.

for such more question on arithmetic means

https://brainly.com/question/23706022

#SPJ8

The joint probability is found by multiplying the probability of event J by the probability of event K P(J and K) = P(J) * P(K) Option C.

When two events J and K are independent, it means that the occurrence or non-occurrence of one event does not affect the probability of the other event. In other words, the probability of event J happening is completely unrelated to the probability of event K happening.

The joint probability of two independent events J and K is the probability that both events J and K occur simultaneously. Since the events are independent, the probability of their intersection is equal to the product of their individual probabilities.

The joint probability is found by multiplying the probability of event J by the probability of event K.

This formula holds true for independent events because there is no interaction or dependency between the events. Each event has its own probability, and when they occur together, the joint probability is simply the product of their individual probabilities. Option C is correct.

For more such question on probability. visit :

https://brainly.com/question/251701

#SPJ8

The exact value of sec(-135°) is 1.

To find the exact value of sec(-135°), we need to use the relationship between secant and cosine functions.

The secant function is defined as the reciprocal of the cosine function:

sec(theta) = 1 / cos(theta).

We know that the cosine function has a period of 360°, which means that cos(theta) = cos(theta + 360°) for any angle theta.

In this case, we want to find sec(-135°). Since the cosine function is an even function (cos(-theta) = cos(theta)), we can rewrite sec(-135°) as sec(135°).

Now, let's focus on finding the value of cos(135°). The cosine function is negative in the second and third quadrants.

In the second quadrant, the reference angle is 180° - 135° = 45°. The cosine of 45° is equal to √2/2.

Therefore, cos(135°) = -√2/2.

Now, we can find sec(135°) using the reciprocal property:

sec(135°) = 1 / cos(135°).

Substituting the value of cos(135°), we have:

sec(135°) = 1 / (-√2/2).

To simplify further, we multiply the numerator and denominator by -2/√2:

sec(135°) = -2 / (√2 * -2/√2).

Simplifying the expression:

sec(135°) = -2 / -2,

sec(135°) = 1.

For more such questions on sec visit:

https://brainly.com/question/30571162

#SPJ8

The x- and y-intercept values in the graph for the function f and in the table for the function g(x), indicates that the correct option is option C

The x-intercept is the point at which the y-value is 0, and the coordinates of the point is specified as the x-intercept.

The x-intercept is the point at which the x-value is 0, and the coordinates of the point is specified as the y-intercept

The question compares the x- and y-intercepts of the graph and the function in the table

The x-intercept of the function f in the graph are; (0, 3)

The y-intercept of the function f in the graph are; (4, 0)

The function g(x) in the table indicates that the x- and y-intercepts are;

The value of g(x) is 0 at the ordered pair (1, 0), therefore, the x-intercept of g(x) is (1, 0)

The value of x is 0 at the ordered pair (0, 4), therefore, the function, g(x) has a y-intercept at the point (0, 4)

Therefore, the function f and g have different intercepts, but the value in the table and the graph indicates that as x approaches infinity, the y-value, approaches -1, the correct option is therefore, option C

Learn more on the x- and y-intercept of a graph here: https://brainly.com/question/29252186

#SPJ1

Hello !

Answer:

[tex]\large \boxed{\sf \sum\limits^6_{k=3}(-2k+5)=-16}[/tex]

Step-by-step explanation:

We want to calculate the following sum :

[tex]\sf \sum\limits^6_{k=3}(-2k+5)[/tex]

Let's remember the following property :

[tex]\fbox{\begin{tabular}{1\textwidth}\star\ \underline{\sf Linearity:}\\ \sf \sum\limits^n_{k=n_0}(\alpha a_k+\beta b_k)=\alpha\sum\limits^n_{k=n_0} a_k+\beta \sum \limits^n_{k=n_0}b_k\end{tabular}}[/tex]

Now we can apply this property to our formula :

[tex]\sf \sum\limits^6_{k=3}(-2k+5)\\=-2\sf \sum\limits^6_{k=3}(k)+\sum\limits^6_{k=3}5[/tex]

Now we can calculate :

[tex]\sf \sum\limits^6_{k=3}(-2k+5)\\=-2(3+4+5+6)+(6-3+1)5\\=-2\times18+4\times 5\\=-36+20\\\boxed{\sf \sum\limits^6_{k=3}(-2k+5)=-16}[/tex]

Have a nice day ;)

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

The ordered pairs which are in the solution set of the system of linear inequalities are (5, –2), (3, 1), (4, 2).

The correct answer to the given question is option C.

The system of linear inequalities is:y > -1/2 x y < 1/2 x + 1

On a coordinate plane, two straight lines are shown.

The first solid line has a negative slope and goes through (0, 0) and (4, -2).

Everything above the line is shaded.

The second dashed line has a positive slope and goes through (-2, 0) and (2, 2).

Everything below the line is shaded.

We will check which of the given ordered pairs lie in the solution set of this system of linear inequalities. 1. (5, -2) Putting x = 5 and y = -2, we get:

y > -1/2 x   ⇒   -2 > -1/2 (5)   ⇒   -2 > -2.5  which is false.

xy < 1/2 x + 1   ⇒   (5)(-2) < 1/2 (5) + 1   ⇒   -10 < 3.5  which is false.

Therefore, the ordered pair (5, -2) is not in the solution set of the system of linear inequalities. 2. (3, 1) Putting x = 3 and y = 1, we get:

y > -1/2 x   ⇒   1 > -1/2 (3)   ⇒   1 > -1.5  which is true.

xy < 1/2 x + 1   ⇒   (3)(1) < 1/2 (3) + 1   ⇒   3 < 2.5  which is false.

Therefore, the ordered pair (3, 1) is not in the solution set of the system of linear inequalities. 3. (-4, 2) Putting x = -4 and y = 2, we get:y > -1/2 x   ⇒   2 > -1/2 (-4)   ⇒   2 > 2  which is false. xy < 1/2 x + 1   ⇒   (-4)(2) < 1/2 (-4) + 1   ⇒   -8 < -0.5  which is true.

Therefore, the ordered pair (-4, 2) is in the solution set of the system of linear inequalities. Hence, the answer is (5, –2), (3, 1), (4, 2).

For more such questions on linear inequalities, click on:

https://brainly.com/question/11897796

#SPJ8

Part I- a) y = (x + 25)(x + 9)

b) y = x^2 + 34x + 225

c) y=  (x + 17)^2 - 64

d) The y-intercept is (0, 225), The y-intercept is (0, 225).

e) The graph of the parabola has the vertex at (-17, -64), x-intercepts at (-25, 0) and (-9, 0), and the y-intercept at (0, 225).

f) Only positive values of x make sense because the dimensions of a pool and deck cannot be negative.

g) y = 465 square yards

Part II- a) y = (6 + 2x)^2

b) 169 = (6 + 2x)^2

c) x = 3.5 feet

Part I:

y = (x + 25)(x + 9)

b) To rewrite the equation in standard form using the FOIL method:

y = x^2 + 9x + 25x + 225

= x^2 + 34x + 225

c) To rewrite the equation in vertex form by completing the square:

y = (x^2 + 34x) + 225

= (x^2 + 34x + (34/2)^2) + 225 - (34/2)^2

= (x^2 + 34x + 289) + 225 - 289

= (x + 17)^2 - 64

d) The vertex of the parabola is (-17, -64). The x-intercepts are found by setting y = 0 and solving the equation:

0 = (x + 17)^2 - 64

64 = (x + 17)^2

x + 17 = ±√64

x + 17 = ±8

x = -17 ± 8

x = -25, -9

Therefore, the x-intercepts are (-25, 0) and (-9, 0).

The y-intercept is obtained by setting x = 0 in the equation:

y = (0 + 17)^2 - 64

y = 17^2 - 64

y = 289 - 64

y = 225

Therefore, the y-intercept is (0, 225).

e) The graph of the parabola has the vertex at (-17, -64), x-intercepts at (-25, 0) and (-9, 0), and the y-intercept at (0, 225).

f) Only positive values of x make sense because the dimensions of a pool and deck cannot be negative. In this context, negative values for x would not provide meaningful solutions for the width of the deck.

g) The point on the graph that represents the total area including the pool but not the pool deck is the y-intercept (0, 225).

h) When x = 6 yards, the total area of the pool and deck can be found by substituting the value into the equation from Part b:

y = (6 + 17)^2 - 64

y = 23^2 - 64

y = 529 - 64

y = 465 square yards

Part II:

a) The equation for the area of the enclosed space in the form y = (side length)^2, considering the hot tub and the deck around it, is:

y = (6 + 2x)^2

b) Substituting the area of the enclosed space (169 square feet) for y in the equation:

169 = (6 + 2x)^2

c) Solving the equation for x:

√169 = √((6 + 2x)^2)

13 = 6 + 2x

2x = 13 - 6

2x = 7

x = 7/2

x = 3.5 feet

Therefore, the width of the deck space around the hot tub is 3.5 feet.

for such more question on parabola

https://brainly.com/question/9201543

#SPJ8

Answer:

? = 157°

Step-by-step explanation:

the measure of the secant- secant angle KLM is half the difference of the intercepted arcs , that is

[tex]\frac{1}{2}[/tex] (CJ - KM) = ∠ KLM , that is

[tex]\frac{1}{2}[/tex] (? - 53) = 52° ( multiply both sides by 2 to clear the fraction )

? - 53° = 104° ( add 53° to both sides )

? = 157°

The sample variance (s²) is approximately 29.5 and the sample standard deviation (s) is approximately 5.4.

To find the sample variance and standard deviation,

Calculate the mean (average) of the given data set.

21 + 12 + 6 + 7 + 10 = 56

Mean = 56 / 5 = 11.2

Square the result of subtracting the mean from each data point.

(21 - 11.2)² = 96.04

(12 - 11.2)² = 0.64

(6 - 11.2)² = 27.04

(7 - 11.2)² = 17.64

(10 - 11.2)² = 1.44

Calculate the sum of the squared differences

96.04 + 0.64 + 27.04 + 17.64 + 1.44 = 142.8

Divide the sum by (n-1), where n is the number of data points (in this case, 5).

142.8 / (5-1) = 35.7

The result is the sample variance (s²).

Take the square root of the sample variance to determine the sample standard deviation (s).

s = √35.7 ≈ 5.4

Therefore, the sample variance is approximately 29.5 (rounded to one decimal place) and the sample standard deviation is approximately 5.4 (rounded to one decimal place).

For more such questions on deviation, click on:

https://brainly.com/question/475676

#SPJ8

Answer:

Step-by-step explanation:

Remember PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)

35 - 12 : 2 + 8² =

35 - 6 + 64 =

93