2/9 dividend by 2/3​

Answer:

Hi,

Step-by-step explanation:

Using Al's kashi theorem,

diag²=9²+23²-2*9*23*cos(80°)=538,109654....

diag=23,197190... (ft)

The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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Answer: edge

Step-by-step explanation: just took the quiz

Edge is  the name of the sides of the two nappes of a right circular cone, Option B is correct.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The edge of a cone refers to the line segment formed by the intersection of the two circular bases and the lateral surface of the cone.

It is also called the slant height or the generatrix of the cone.

The vertex refers to the point at the top of the cone where the two nappes meet

The base refers to the circular face at the bottom of the cone, and

the parabola is a curve that is not directly related to the cone.

Hence, Edge is  the name of the sides of the two nappes of a right circular cone.

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Answer:

-28

Step-by-step explanation:

Simply plug -5 in for x in the given equation

f(-5) = 5(-5) - 3

f(-5) = -25 - 3

f(-5) -28

Answer:

\( \sf \: f( - 5) = - 28\)

Step-by-step explanation:

Now we have to,

→ Find the required value of f(-5).

The function is,

→ f(x) = 5x - 3

Then the value of f(-5) will be,

→ f(x) = 5x - 3

→ f(-5) = 5(-5) - 3

→ f(-5) = -(5 × 5) - 3

→ f(-5) = -25 - 3

→ [ f(-5) = -28 ]

Hence, the value of f(-5) is -28.

Answer:

I hope this is helpful. I had to crop it slightly to insert it.

Answer:  See the graph image attached

Step-by-step explanation:

x   y

0  -3

1   -4

Answer:

Step-by-step explanation:

v

Answer:

(5,2)

Step-by-step explanation:

when you plug them in they appear true!

Answer: a=8 b=-4

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The inequality to determine the number of runs per inning, p Kim's team could have scored is; 4r + 6 > 17

Let r represent the number of runs per inning. Thus for 4 innings, we have 4r.

The team already has 6 runs. Now add the additional runs to this to get;

4r + 6

The team wants to score more than the other team, this means they need more than 17 and so the inequality required is;

4r + 6 > 17

Subtract 6 from each side to get;

4r + 6 - 6 > 17 - 6

4r > 11

Divide both sides by 4 to get:

r > 2.75

Approximating to a whole number gives;

r > 3

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Answer:

6+4p> 17
3

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

Sorry if wrong

Answer:

A. After 10 weeks, each boy has earned a total of $75

Step-by-step explanation:

Answer:

p = 0.35

q = 0.65

n = 7

Step-by-step explanation:

To calculate the distribution, we have the following values;

p = 35% = 35/100 = 0.35

q = 1-p = 1-0.35 = 0.65

n = 7

Answer:

p = 0.35

q = 0.65

n = 7

Step-by-step explanation:

To find the value of k that satisfies the given equation, we need to evaluate the integral and set it equal to k squared.

The integral of the given function, 4kx - 5k, with respect to x from 0 to k is:

∫(0 to k) (4kx - 5k) dx

Using the power rule of integration, we can integrate each term separately:

∫(0 to k) 4kx dx - ∫(0 to k) 5k dx

Integrating each term:

2kx^2 evaluated from 0 to k - 5kx evaluated from 0 to k

Plugging in the limits of integration:

[2k(k)^2 - 2k(0)^2] - [5k(k) - 5k(0)]

Simplifying further:

2k(k^2) - 0 - 5k^2 + 0

2k^3 - 5k^2

Now, we set this expression equal to k^2:

2k^3 - 5k^2 = k^2

Rearranging the equation:

2k^3 - 6k^2 = 0

Factoring out k^2:

k^2(2k - 6) = 0

Setting each factor equal to zero:

k^2 = 0 or 2k - 6 = 0

The first equation, k^2 = 0, implies that k = 0. However, since the question states that k > 0, this solution is not valid.

Solving the second equation:

2k - 6 = 0

2k = 6

k = 3

Therefore, the value of k that satisfies the equation is k = 3.

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(a) Yes, this function is continuous for all values of t. (b) Yes, this function is continuous at t = 18. (c) Yes, this function is continuous for all t ≥ 0. (d) The domain for this application is all real numbers except t = -1.5.

(a) The given function is a rational function, and it is continuous for all values of t except where the denominator becomes zero. In this case, the denominator 2t + 3 is never zero for any real value of t, so the function is continuous for all values of t.

(b) To determine the continuity at a specific point, we need to evaluate the function at that point and check if it approaches a finite value. Since the function does not have any singularities or points of discontinuity at t = 18, it is continuous at that point.

(c) The function is defined for all t ≥ 0 because the denominator 2t + 3 is always positive or zero for non-negative values of t. Therefore, the function is continuous for all t ≥ 0.

(d) The domain of the function is determined by the values of t for which the function is defined. Since the function is defined for all real numbers except t = -1.5 (to avoid division by zero), the domain is (-∞, -1.5) U (-1.5, ∞), which can be represented in interval notation as (-∞, -1.5) ∪ (-1.5, ∞).

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Answer:

€270

Step-by-step explanation:

If a fruit vendor has bought 165kg of apples at € 2 per kilo, the total amount spent is expressed as;

Cost price = 165 * 2 = €330

If 15kg spoilt, the amount of fruit remaining will be 165 - 15 = 150kg

If he rests he sells for € 4 per kilo, then;

Selling price = 150 * 4 = €600

Amount earned = €600 - €330

Amount earned = €270

Answer:

m<1=74

m<2=106

m<3=74

Step-by-step explanation:

m<1:

=180-106

=74

m<2:

=106

m<3;

if m<1 is 74, m<s will also be 74

a) To find the extreme points and determine if they are minimum or maximum, we need to take the derivative of the function and set it equal to zero.

a) f(x) = x^2 + x - 6

Taking the derivative:

f'(x) = 2x + 1

Setting it equal to zero and solving for x:

2x + 1 = 0

2x = -1

x = -1/2

To determine if it is a minimum or maximum, we can examine the concavity of the function. Since the coefficient of x^2 is positive (1), the function opens upward and the critical point at x = -1/2 is a minimum.

b) f(x) = x^3 + x^2

Taking the derivative:

f'(x) = 3x^2 + 2x

Setting it equal to zero and solving for x:

3x^2 + 2x = 0

x(3x + 2) = 0

This gives two critical points:

x = 0 and x = -2/3

To determine if they are minimum or maximum, we need to examine the concavity of the function. Since the coefficient of x^3 is positive (1), the function opens upward. The critical point at x = 0 is a minimum, while the critical point at x = -2/3 is a maximum.

b) Graphical method:

To solve the problem graphically, we will draw a graph representing the constraints and find the feasible area. Then we will identify the corner point feasible solutions (CPFS) and determine if there is an optimal solution.

a) Maximize subject to:

x1 + x2

2x1 + 5x2 <= 5

x1 + x2 <= 5

3x1 + x2 <= 15

x1, x2 >= 0

b) Minimize subject to:

x1 + x2

-x1 + x2 <= 5

x2 <= 3

3x1 + x2 >= 7

x1, x2 >= 0

Unfortunately, the given optimization problems are incomplete as there are no objective functions specified. Without an objective function, it is not possible to determine an optimal solution or solve the problem graphically.

Please provide the objective function for the optimization problems so that we can proceed with the graphical solution and find the optimal solution, if any.

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a) The extreme point for the function f(x) = x² + x - 6 is a minimum point.

b) The extreme point for the function f(x) = x³ + x² is neither a minimum nor a maximum point.

Step 1: For the function f(x) = x² + x - 6, to find the extreme points, we can take the derivative of the function and set it equal to zero. By solving for x, we can identify the x-coordinate of the extreme point. Taking the second derivative can help determine if it is a minimum or maximum point. In this case, the extreme point is a minimum because the second derivative is positive.

Step 2: For the function f(x) = x³ + x², finding the extreme points follows the same process. However, after taking the derivative and solving for x, we find that there are no critical points. Without any critical points, there are no extreme points, meaning there are no minimum or maximum points for this function.

In summary, for the function f(x) = x² + x - 6, the extreme point is a minimum, while for the function f(x) = x³ + x², there are no extreme points.

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The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.

We shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

A penny = 1 cent, so

x pennies = x cents

A dime = 10 cents so;

6 dimes = 6 × 10cents

6 dimes = 60 cents

A nickel = 5 cents so;

4 nickels = 4 × 5 cents

4 nickels = 20 cents

Arthur's coins in total = (x + 60 + 40) cents

Arthur's coins in total = (x + 80) cents.

Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.

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Answer:

Stems cells, commonly found in the bone marrow.

Step-by-step explanation:

Stem cells are cells with the potential to develop into many different types of cells in the body. They serve as a repair system for the body. ... They are unspecialized, so they cannot do specific functions in the body. They have the potential to become specialized cells, such as muscle cells, blood cells, and brain cells.

The function is : f(x) = sqrt(x)

Formula to translate 2 units down is g(x) = f(x) - 2

Formula to reflect horizontally is h(x) = -g(x)

After applying both, the function is h(x) = -f(x) + 2

To draw the graph of h(x), we can make use of the parent graph of f(x) and apply the following transformations:

Flip the parent graph of f(x) horizontally;

Shift the flipped graph of f(x) 2 units upward;

The transformed function is the reflection of the parent function f(x) about the y-axis, translated 2 units up the y-axis.

To draw the graph of h(x), follow the below steps:

Draw the graph of the parent function, f(x) = sqrt(x).

Flip the graph horizontally. This can be done by changing the sign of the radicand, which is x. The new equation is h(x) = -sqrt(x).

Shift the graph 2 units upward. This can be done by adding 2 to the function, h(x) = -sqrt(x) + 2.The final graph looks like the following:

Graph of h(x) = -sqrt(x) + 2:

Formula to translate 3 units up and 2 units to the left is `g(x) = f(x + 2) + 3`.

After applying both, the function is `g(x) = sqrt(x + 2) + 3`

To draw the graph of g(x), we can make use of the parent graph of f(x) and apply the following transformations:

Shift the parent graph of f(x) 2 units to the left;

Shift the shifted graph of f(x) 3 units upward;

The transformed function is the parent function f(x) shifted 2 units to the left and 3 units upward.

To draw the graph of g(x), follow the below steps:

Draw the graph of the parent function, f(x) = sqrt(x).

Shift the graph 3 units upward. This can be done by adding 3 to the function, g(x) = sqrt(x + 2) + 3.The final graph looks like the following:

Graph of g(x) = sqrt(x + 2) + 3:

Formula to reflect vertically is `g(x) = -f(x)` and the formula to translate 5 units to the left and 2 units down is `h(x) = g(x + 5) - 2`.

After applying both, the function is `h(x) = -sqrt(x) + 5 - 2`.Simplify the above equation, `h(x) = -sqrt(x) + 3`To draw the graph of h(x), we can make use of the parent graph of f(x) and apply the following transformations:

Reflect the parent graph of f(x) about the x-axis;

Shift the reflected graph of f(x) 5 units to the left;

Shift the shifted graph of f(x) 2 units downward;

The transformed function is the parent function f(x) reflected about the x-axis, shifted 5 units to the left, and 2 units downward.

To draw the graph of h(x), follow the below steps:

Draw the graph of the parent function, f(x) = sqrt(x).

Reflect the graph about the x-axis. This can be done by changing the sign of the function. The new equation is h(x) = -sqrt(x).

Shift the graph 5 units to the left. This can be done by replacing x with (x - 5). The new equation is h(x) = -sqrt(x - 5).

Shift the graph 2 units downward. This can be done by subtracting 2 from the function, h(x) = -sqrt(x - 5) - 2.

The final graph looks like the following:

Graph of h(x) = -sqrt(x - 5) - 2:

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The value of the constant of proportionality is, 20

We have to given that;

the point (4, 80) represent he bicyclist rides 80 miles in 4 hours.

Hence, We can conclude that;

The equation for constant of proportionality is,

y = kx

80 = 4k

k = 80 / 4

k = 20

Thus, The value of the constant of proportionality is, 20

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The distance from the base of the ladder to the wall is 4.23 feet. And the inclination angle will be 73.74°.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The length of the ladder is 10 feet. And the inclination angle is 65°. Then the distance from the bottom of ladder to the wall is given as,

cos 65° = x / 10

x = 4.23 feet

If the ladder reaches a window 9.6 feet above the ground, then the angle is given as,

sin θ = 9.6 / 10

sin θ = sin 73.74°

     θ = 73.74°

The distance from the base of the ladder to the wall is 4.23 feet. And the inclination angle will be 73.74°.

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\(g(-4)\)

\(g(x)=x^2 - 4x\)

\(g(-4)=(-4)^2-4(-4)\)

\(g(-4)=16-4(-4)\)

\(g(-4)=16+16\)

\(g(-4)=32\)

Answer: g(-4) = 32

Solution:

Given the function below

Applying the general cosine function formula

The amplitude is

The period is

Hence, the period is 6 and amplitude is 2

The graph of the function is shown below

Answer:

D

Step-by-step explanation:

square root of 49 is 7 x 2 = 14

⬛️ rt of 49 is 7 minus ⬛️ rt 16 (4) =3

⬛️ rt 25 is 5 plus ⬛️ rt 16 (4) = 9

⬛️ rt 25 is 5 x 3 = 15

The margin of error will be Z * sqrt((p * (1 - p)) / n) and confidence Interval = p ± (Margin of Error).

a. The margin of error at a 95% confidence level can be calculated using the formula:

Margin of Error = Z * sqrt((p * (1 - p)) / n)

where Z is the z-score corresponding to the desired confidence level, p is the proportion from the survey (47%), and n is the sample size (1,026). By substituting these values into the formula, we can calculate the margin of error.

b. To construct the 95% confidence interval for the population proportion, we use the formula:

Confidence Interval = p ± (Margin of Error)

where p is the proportion from the survey and the Margin of Error is calculated in part a. By substituting the values into the formula, we can determine the lower and upper bounds of the confidence interval.

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Answer:

When you roll a 6-sided cube, numbered 1 to 6, the probability of rolling a 2 is 1:6. This is an example of theorectical probability.

Step-by-step explanation:

The probability of rolling a 2 on a 6-sided dice is  

1

6

The probability of rolling two 2s on two 6-sided die is, by the multiplication principle,  

1

6

×

1

6

=

1

36

Subjective is something that is based on personal opinion, so I think the answer is actually theoretical probability! Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

Hope this helps, have a good day :)

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The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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