can someone help me !

1)

The value of growth constant is 0.1791 .

Given,

Year 2000 ; population = 10000

Year 2010 ; population = 60000

Now,

According to Malthusian model

P(t) = \(P_{0} e^{kt}\)

\(P_{0}\) = initial population size,

k = growth constant

Now ,

substitute the values ,

60000 = 10000(\(e^{k * 10}\))

6 =  (\(e^{k * 10}\))

Take ln on both sides

1.791 = 10 * k

k = 0.1791

2)

Now the population to be 100000,

Substitute in the expression,

100000 = 10000(\(e^{0.1791 * t}\))

10 = (\(e^{0.1791 * t}\))

Take ln on both sides,

2.30 = 0.1791 *t

t = 12.85 years .

3)

Population in 2020 will be approximately 359453.

Given,

Year 2000 ; population = 10000

Year 2010 ; population = 60000

Now,

Substitute the value in the formula,

P(t) = 10000(\(e^{20 * 0.1791}\))

P(2020) ≈ 359453.

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Answer:

$123 dollars is the answer bc math.

Answer

Step-by-step explanation:

the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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The equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is 3x + 2y + z = 8.

We need a point b and a vector v along the line in order to characterize it. We might alternatively begin with the two points a and b and use the formula v = ab.
A point Q and a vector n perpendicular to the plane are required in order to describe a plane. Later on, we'll look at how to get n from various types of information, such as the positions of three points on a plane.

A plane is a flat, endlessly long, two-dimensional surface. A plane is a point with zero dimensions, a line with one dimension, and space with three dimensions in two dimensions. The picture below that is attached shows the answer.

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Question correction:

Find the equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0

The pairs of vertical angles as required to be identified in the task content are as follows;

By definition; Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In essence, vertical angles are two angles opposite each other formed at the intersection of two lines.

On this note; the pair of vertical angles are as follows;

A. <1 and <4.

D. <2 and <5.

E. <3 and <6.

Ultimately, the correct answer choices are; Choices A, D and E.

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As per latent heat, size of 11.61 BTUH is required to complete the whole action.

Let's assume the ice was at 32° F. So, 144 BTU/lb is required as latent heat. To melt ice and make it 32°F water required BTU is:

10 × 144 = 1440 BTU ( m× l = H where m is the mass and l is the latent heat )

To, convert 10°F ice to 32°F ice required heat is,

10×0.5035× ( 32° - 10°) = 110.77 BTU ( H = msΔt, m= mass, s = specific heat of ice, and Δ t = difference in temperature which is, 32° - 10° = 22°)

Now, to convert 32°F water to 212°F water required heat is:

10×1×180 = 1800 BTU ( SPECIFIC HEAT OF WATER IS 1 and Δt = 212-32 = 180°F )

To covert 212°F water to 212°F steam the required heat is,

10 × 970 = 9700

Now, to convert 212°F steam to 400°F steam, the required heat is ;

10 × .47 × 188 = 883.6 BTU ( The specific heat if steam is .47, Δt = 188°F )

Now total heat is, 883.6 BTU +9700 BTU + 1800 BTU + 110.77 BTU + 1440 BTU = 13934 BTU

Required power to convert it within 20 min. or 1200 sec is,

13934/1200 = 11.61 BTUH.

We can now say that, if 10 pounds of ice starts at ten degrees and is changed to steam at 400 degrees in twenty minutes, 11.61 BTUH is required.

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Answer:

100 yes there are trust me

First of all it's important to note that all parallelograms, rhombuses and squares are quadrilateral and they meet the following properties:

- Rhombus: quadrilateral whose four sides have the same length.

- Parallelogram: quadrilateral that has two pairs of parallel sides.

- Square: quadrilateral whose four sides and internal angles have the same length/measure.

With these definitions in mind we can solve the True or False table in the picture.

The first statement is false not every quadrilateral is a rhombus. For example rectangles that are not squares are not rhombuses since their four sides aren't all equal.

The second is true, as we saw before parallelograms are quadrilaterals. The same reason applies to the third statement, squares are qudrilaterals.

Now let's see the last statement. A rhombus with four right angles is a quadrilateral that has four equal sides (because it's a rhombus) and four equal angles (all measuring 90°). These are the conditions required for a quadrilateral to be considered a square so this last statement is true.

Then the answers are:

F

The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

(b) \(y^ = b0 + b1 * x\) is the regression equation(c) \(y^ = b0 + b1 * 52.5\) based on gross income

(a) To create a scatter diagram, you would plot the data points with adjusted gross income (x-axis) and the average or reasonable amount of itemized deductions (y-axis). Unfortunately, I cannot create a visual diagram here, but you can do this in a spreadsheet software or graphing tool.

(b) To develop the estimated regression equation using the least squares method, you need to first calculate the mean of both x (adjusted gross income) and y (itemized deductions). Then, calculate the sum of the products of the differences between each x and its mean, and each y and its mean. Divide that sum by the sum of the squares of the differences between each x and its mean to find the slope (b1).

b1 = Σ[(x - mean_x)(y - mean_y)] / \(Σ[(x - mean_x)^2\)]

Next, find the intercept (b0) using the equation:

b0 = mean_y - b1 * mean_x

The estimated regression equation will be in the form:

\(y^ = b0 + b1 * x\)

(c) To predict the reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52,500, plug the value of x (52.5, since the data is in thousands) into the regression equation:

\(y^ = b0 + b1 * 52.5\)

Compute the value of \(y^\), then round your answer to two decimal places. The result will be the reasonable level of total itemized deductions in thousands of dollars.

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Answer: 4:3 (4 being the baseballs, and 3 being the golf balls)

I hope this helps, and Happy Holidays! :)

The possible outlier may be \((0,1)\) as the second component is not greater than second components of the remaining pairs in comparison.

In this data set, we observe that data set observes the rule that first component increases inasmuch the second component of the ordered pairs decreases. Thus, the possible outlier may be \((0,1)\) as the second component is not greater than second components of the remaining pairs in comparison. \(\blacksquare\)

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Shock advertisement are a type of advertising strategy that aims to provoke strong emotional responses from viewers by presenting controversial, shocking, or disturbing content.

An example of a shock add is Poking fun at events

By displaying content that is debatable, surprising, or upsetting, shock advertisement try to elicit strong emotional reactions from their target audience.

The goals of shock advertisements are to draw attention, leave a lasting impression, and elicit conversation about the good or message they are promoting.

These commercials frequently defy accepted norms, step outside of the box, and employ vivid imagery or provocative storytelling approaches.

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The Celsius temperature that has the same value as when converted to a Fahrenheit temperature is -40

From the question, we have the following parameters that can be used in our computation:

F = 9/5C + 32

The Celsius temperature that has the same value as F implies that

C = F

Substitute the known values in the above equation, so, we have the following representation

C = 9/5C + 32

So, we have

C - 9/5C = 32

Evaluate the like terms

-4/5C = 32

So, we have

C = -32 * 5/4

Evaluate

C = -40

Hence, the value of C is -40

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The answer is \(k\) ≥ \(\frac{91}{12}\)

First, you must flip the equation

\(12k+29\) ≥ \(120\)

Then, you must subtract 29 on both sides

\(12k\) ≥ \(91\)

Finally, divide both sides by 12

\(k\) ≥ \(\frac{91}{12}\)

Answer:

see explanation

Step-by-step explanation:

let the number be x , then

\(\frac{1}{2}\) x = 44.3 ← is the equation

Answer:

x / 2 = 44.3

Hope that helps!

Step-by-step explanation:

(a) The number of choices with no restriction is 10,000.

(b) The number of choices with no repeated digits is 5,040.

(c) The number of choices with no repeated digits and the third digit as 0 is 648.

(a) With no restriction, there are 10 choices for each digit, ranging from 0 to 9. Since a 4-digit pin code consists of four digits, the total number of choices is 10^4 = 10,000.

(b) When no digit is repeated, the number of choices for the first digit is 10. For the second digit, there are 9 choices remaining (as one digit has been used). Similarly, for the third digit, there are 8 choices remaining, and for the fourth digit, there are 7 choices remaining. Therefore, the total number of choices is 10 × 9 × 8 × 7 = 5,040.

(c) When no digit is repeated and the third digit is fixed as 0, the number of choices for the first digit is 9 (excluding 0). For the second digit, there are 9 choices remaining (as one digit has been used, but 0 is available).

For the fourth digit, there are 8 choices remaining (excluding 0 and the digit used in the second position). Therefore, the total number of choices is 9 × 9 × 8 = 648.

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Answer:

1. m∠CUK = 70°

2. m∠K = 112°

Step-by-step explanation:

1. The given parameters of the parallelogram LUCK are;

∠C = 68°

∠LUK = 42°

From the diagram of parallelogram LUCK obtained from an online source, we have;

Given that LUCK = A parallelogram, we have;

The same side interior angles ∠C and ∠U are supplementary angles

Therefore;

∠C + ∠U = 180°

∠U = 180° - ∠ C

∴ ∠U = 180° - 68° = 112°

∠U = 112°

By angle addition property, ∠U = ∠LUK + ∠CUK

∴ m∠CUK = ∠U - ∠LUK

By plugging in the value of ∠LUK = 42°, and ∠U = 112°, we have;

m∠CUK = ∠U - ∠LUK = 112° - 42° = 70°

m∠CUK = 70°

2. By angle addition property, we have;

∠K = ∠LKU + ∠CKU

∠LKU and ∠CUK are alternate interior angles

∴ ∠LKU = ∠CUK = 70°

Similarly, ∠CKU and ∠LUK are alternate interior angles

∠CKU = ∠LUK = 42°

m∠K = ∠LKU + ∠CKU = 70° + 42° = 112°

m∠K = 112°.

Answer:

PARALLEL

Step-by-step explanation:

The second equation, y = (1/3)x - 4, has already been solved for y.  To compare the slopes easily, we need now to solve the first equation for y, obtaining y = (1/3)x - 4.

We see that these two lines have the same slope, m = 1/3, and thus conclude that these lines are PARALLEL.

Answer:

The locus of the midpoints of the radii of the sphere is a sphere half the radii M of the given sphere and having the same center as of the given sphere.

Step-by-step explanation:

Since the constant rate is equal to

the initial population is b= 75,00 and the line equation in slope-intercept is

The model is given by:

Local minimum: x = 5
Local maximum: x = -1
No inflection points.

To find the local minima, maxima, and inflection points of the function f(x) = (x – 5)(x + 1)^2, we need to find its critical points and analyze its concavity.

Step 1: Find the first derivative of f(x):
f'(x) = d/dx [(x – 5)(x + 1)^2]
Using the product rule, f'(x) = (x – 5) * 2(x + 1) + (x + 1)^2

Step 2: Find the critical points by setting f'(x) = 0:
0 = (x – 5) * 2(x + 1) + (x + 1)^2
This equation has two solutions: x = 5 and x = -1.

Step 3: Find the second derivative of f(x):
f''(x) = d^2/dx^2 [(x – 5)(x + 1)^2]
f''(x) = 2(x + 1) + 2(x + 1) + 2(x – 5)

Step 4: Evaluate the second derivative at the critical points to determine their nature:
f''(5) = 2(6) + 2(6) + 2(0) = 24 > 0, indicating a local minimum at x = 5.
f''(-1) = 2(0) + 2(0) + 2(-6) = -12 < 0, indicating a local maximum at x = -1.

There are no inflection points since f''(x) never changes sign.

Your answer:
Local minimum: x = 5
Local maximum: x = -1
No inflection points.

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Advantages of using a permutation as in problem 1 include increased efficiency and simplicity, while disadvantages include reduced flexibility and a potential loss of information.

Permutations are mathematical operations that rearrange elements in a list or sequence, and there are different ways to define and generate permutations. A permutation specified in problem 1 may have certain desirable properties, such as being easy to compute, having low computational complexity, or having a simple mathematical form.

These advantages, however, can also be disadvantages if they limit the ability to capture more complex or subtle relationships between elements, or if they prevent the use of other methods that may be more appropriate for a particular application. Therefore, the choice of a specific permutation method depends on the requirements of the problem and the available computational resources.

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Hyperbola will form out from the cone.

The generator, vertex, and vertical axis are three crucial components of the double-napped cone. Conic sections or conics are the curves that result from the division of a double-napped cone into sections by a plane.

A plane intersects with both parts of a double cone to form a hyperbola, which is an open curve with two branches. The hyperbola will be symmetrical regardless of whether the plane is parallel to the axis of the cone or not.

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Answer:

52

Step-by-step explanation:

Here it's given that p is inversely proportional to the square of q. We can write this mathematically as ,

\(\longrightarrow p \propto \dfrac{1}{q^2} \)

Let k be the constant of proportionalality .

\(\longrightarrow p = \dfrac{k}{q^2}\)

Again it's given that when p is 13 , q is 4 . On substituting this in the above equation we can find out the value of k , as ;

\(\longrightarrow 13 =\dfrac{k}{4^2}\)

Solve out for k ,

\(\longrightarrow k = 13 (16)\)

Multiply ,

\(\longrightarrow k = 208 \)

Again when the value of q is 2 , we need to find out the value of p . So ,

\(\longrightarrow p =\dfrac{k}{q^2}\)

Substitute ,

\(\longrightarrow p =\dfrac{208}{2^2}\\ \)

\(\longrightarrow p = \dfrac{208}{4}\)

Simplify,

\(\longrightarrow p = 52 \)

This is the required answer.

The system of equations that gives the (7,-3)

2x - 5y = 29

6x + 3y = 33 Option D

We can solve by the method of simultaneous equations so that we can be able to obtain the lines.

We have that;

2x - 5y = 29 ---- (1)

6x + 3y = 33 ---- (2)

Multiply equation (1) by 6 and equation (2) by 2

12x - 30y = 174

-(12x + 6y = 66)

y = -3

From equation 1;

2x = 29 - -5y

Where y = -3

x  =  29 - -5(-3)/2

x = 7

Thus the intersection of the lines that we have in the problem can now be obtained as (7,-3)

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Answer:

27

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

(h - g)(2)

= h(2) - g(2)

= 2² + 1 - 2(2) = 4 + 1 - 4 = 1