K The function that models the growth of the population, P, at any hour, t, is 6. A species of bacteria has a population of 500 at noon. It doubles every 10 h. P(t) = 500 500 (2 16). a) Why is the exponent 10? b) Why is the base 2? c) Why is the multiplier 500? d) Determine the population at midnight. e) Determine the population at noon the next day. f) Determine the time at which the population first exceeds 2000.

The approximate internal rate of return on this project is approximately 13.59% at which the present value of the cash inflows (profits) is equal to the initial investment.

To calculate the approximate internal rate of return (IRR) for this project, we need to determine the discount rate at which the present value of the cash inflows (profits) is equal to the initial investment.

Given:

Initial investment = $2,000,000

Annual profit generated = $400,000

Number of years = 7

We can set up the following equation:

PV of cash inflows = Initial investment

To calculate the present value of the cash inflows, we need to discount each year's profit at the discount rate (IRR) and sum them up. Using a financial calculator or spreadsheet software, we can iterate different discount rates until the present value of the cash inflows matches the initial investment. Using an iterative process, the approximate internal rate of return (IRR) for this project is found to be approximately 13.59%.

To know more about rate,

https://brainly.com/question/33519589

#SPJ11

The dot represents the vertex, and the x represents the point where the parabola touches the x-axis. The parabola is symmetric about the vertical line x = h and does not cross the x-axis anywhere else.

A parabola is a type of curve that is defined by a specific mathematical equation, namely, the quadratic equation. It is a symmetrical curve that can be described as the shape of the graph of a quadratic function.

by the question.

If (h, k) is a zero of the function, then. \(f(h) = 0\). Substituting this into the equation for f(x), we get:

\(0 = a(h - h)^2\)

\(0 = 0\)

This is a true statement, which tells us that (h, k) is indeed a zero of the function.

Now, let's consider the graph of this function. Since the coefficient a is non-zero, the parabola will be facing either upwards or downwards. If a > 0, then the parabola will be facing upwards, and if a < 0, then the parabola will be facing downwards.

Since the vertex of the parabola is at (h, k), the axis of symmetry is the vertical line x = h. Therefore, the parabola is symmetric about this line.

Finally, since (h, k) is also a zero of the function, the parabola must cross the x-axis at x = h with a single point of tangency. This means that the parabola just touches the x-axis at this point and does not cross it.

To learn more about parabola:

https://brainly.com/question/29075153

#SPJ1

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's write the equation of line in slope point form ~

\(\qquad \sf  \dashrightarrow \:y - y1 = m(x - x1)\)

\(\qquad \sf  \dashrightarrow \:y -2 = 3(x -1)\)

\(\qquad \sf  \dashrightarrow \:y -2 = 3x - 3\)

\(\qquad \sf  \dashrightarrow \:y = 3x -1\)

Now, let's use this equation of line to plot two points ~

Now, plot these points on graph ~

Consequently, the room has a 7 meter width. The room's length is

\(= 7 * 3 meters = 21 meters\)

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

Given that the length of the rectangular space is three times its breadth

The chamber has a 56-meter perimeter.

Assume that the room's width is x.

As a result, the room is three times as long.

The room's perimeter is now equal to 2(3x + x).

\(Here, 2(3x + x) = 56\\ 2 * 4x = 56\\ 8x = 56\\ x = 7.\)

Consequently, the room has a 7 meter width.

The room's length is

\(= 7 * 3 meters\\= 21 meters\)

To know more about Rectangle visit:
https://brainly.com/question/29123947

#SPJ4

The height of the rectangle is 16.6 millimeters.

To find the height of a rectangle, we can use the formula for the perimeter of a rectangle, which states that the perimeter is equal to twice the sum of its length and width. In this case, the base of the rectangle is given as 15.8 millimeters, and the perimeter is given as 64.8 millimeters.

Let's denote the height of the rectangle as h. Using the formula, we can express the given information as:

Perimeter = 2 × (Base + Height)

Substituting the given values, we have:

64.8 = 2 × (15.8 + h)

To solve for h, we first simplify the equation by multiplying the values inside the parentheses:

64.8 = 2 × 15.8 + 2 × h

Next, we simplify further:

64.8 = 31.6 + 2h

Subtracting 31.6 from both sides:

64.8 - 31.6 = 2h

33.2 = 2h

To isolate h, we divide both sides by 2:

33.2/2 = h

16.6 = h

For more questions on height

https://brainly.com/question/28990670

#SPJ8

The evaluated value of the given expression when j = 0.5 and k = 0.25 is 6.5.

The given expression is 7j+5−8k7j+5−8k7, j, plus, 5, minus, 8, k.

We need to evaluate the given expression when j=0.5j=0.5j, equals, 0, point, 5 and k=0.25k=0.25k, equals, 0, point, 25.

Now we substitute the values of j and k in the given expression.

7(0.5)+5−8(0.25)7(0.5)+5−8(0.25)7, times, 0, point, 5, plus, 5, minus, 8, times, 0, point, 25=3.5+5-2=6.5

The value of the expression when j=0.5j=0.5j, equals, 0, point, 5 and k=0.25k=0.25k, equals, 0, point, 25 is 6.5, which is the final answer.

Therefore, the evaluated value of the given expression when j = 0.5 and k = 0.25 is 6.5.

To know more about evaluated value visit:

https://brainly.com/question/29181699

#SPJ11

Answer:

You are not dumb, I might be though.

Step-by-step explanation:

Answer:

6.626621133E31 or

3.9e+20

Step-by-step explanation:

you can use a caclulator to do this

Answer:

a. f(2) = 6

b. f(3) + f(-3) = 62

d. 3(x+1)^2 - 5(x+1) + 4

e. This one looks like the secant line equation. Not fully sure.

Step-by-step explanation:

You replace whatever is inside of the parenthesis with the x in the function. For the first two, you just have to calcluate the numbers.

For the other two , you have use algebra. For d, you replace x with x+1.

A domain is the set of all possible input values for a function or relation. In these questions, the domain is not specified.

A relation is a set of ordered pairs that relates elements from two sets. In these questions, we are given relations defined by sets of ordered pairs.

To determine if a relation is a well-defined function, we need to check if each input has exactly one output. In other words, we need to check if there are no repeated inputs with different outputs.

1) The relation R given by {(x, y) : sin2 x + cos2 x = y} is a well-defined function because for every x in the domain, there is only one corresponding y. This is because sin2 x + cos2 x always equals 1, so there are no repeated inputs with different outputs.

2) The relation R given by {(x, y) : y = tan x} is not a well-defined function because there are multiple x values that correspond to the same y value. For example, tan(0) = 0 and tan(pi) = 0, so there are repeated inputs with the same output.

3) The relation R given by {(x, y) : xy = 1} is a well-defined function only if the domain excludes 0. This is because if x=0, then the relation is undefined. For all other values of x, there is only one corresponding y that makes the relation true.

To know more about domains visit:

https://brainly.com/question/26098895

#SPJ11

Answer:

57

Step-by-step explanation:

2 out of 3 can be expressed as 2/3. Since we are looking at the 1 out of 3 people, we can use the expression 1/3 x 171 or 171/3, which equals 57

Answer: beetween 47.62 and 71.34

Step-by-step explanation:

hope this helps if it doesnt im sorry

Answer:

Step-by-step explanation:

i am unsure what the answer is girl

Step-by-step explanation:

2. a) SA= 33cm²

b) w= 1cm

c) l= 5cm

d) h= 5cm

3. 38 100 cm² if wood

Answer:

Third one : y + 1 = 3(x - 2)

Step-by-step explanation:

The standard form is y - y1 = m(x - x1)

Answer:

5

Step-by-step explanation:

p=4 b=3 h=?

h²=p²+b²

=4²+3²

=16+9

h²=25

h=5

Answer:

-70

Step-by-step explanation:

keep adding -4 until you reach the 18th term for example

-2

-6

-10

-14

-18

-22

-26

-30

-34

-38

-42

-46

-50

-54

-58

-62

-66

-70

According to the question c is a circle centered at the​ origin, oriented​ counterclockwise, that encloses disk r in the plane The two-dimensional curl of the vector field \(\(f = 2x, 2y\) is \(0\)\).

To calculate the curl of a vector field, we use the formula \(\(\text{curl}(f) = \frac{\partial f_y}{\partial x} - \frac{\partial f_x}{\partial y}\)\).

For the given vector field \(\(f = 2x, 2y\)\), the partial derivatives are

\(\(\frac{\partial f_y}{\partial x} = 0\) and \(\frac{\partial f_x}{\partial y} = 0\)\).

Substituting these values into the curl formula, we have \(\(\text{curl}(f) = 0 - 0 = 0\)\).

Therefore, the two-dimensional curl of the vector field \(\(f = 2x, 2y\) is \(0\)\).

To know more about derivatives visit -

brainly.com/question/32516233

#SPJ11

the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.

A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.

Given the mean is 121 while the standard deviation of the women is 9. Therefore, Using the z-table, the probability can be found.

(a) The probability that a woman selected at random has blood pressures greater than 136.

\(P(x > 136) = 1 - P(x < 136)\\\\P(x > 136) = 1 - P(z < \dfrac{x-\mu}{\sigma})\)

                  \(=1 - P(z < \dfrac{136-121}{9})\\\\=1 - P(z < 1.667)\\\\=1-0.9515\\\\=0.0485\)

(b) The probability that a woman selected at random has a blood pressure less than 114.

\(P(x < 114)= P(z < \dfrac{114-121}{9})\\\\\)

                  \(= P(z < -0.77)\\\\= 0.2206\)

(c) The probability that a woman selected at random has a blood pressure between 114 and 128.

\(P(114 < x < 128)= P(\dfrac{114-121}{9} < z < \dfrac{128-121}{9})\\\\\)

                  \(= P(-0.77 < z < 0.77)\\\\= P(z < 0.77)-P(z < -0.77)\\\\= 0.7794 - 0.2206\\\\=0.5588\)

Hence, the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.

Learn more about Z-table:

https://brainly.com/question/6096474

#SPJ1

To verify whether the function f(x) = \(x^{2}\)- 7 has an inverse function, we need to determine if it is a one-to-one function. An inverse function or an anti function is defined as a function, which can reverse into another function

A function is one-to-one if it passes the horizontal line test, meaning that no two distinct points on the graph of the function have the same y-coordinate. In this case, f(x) = \(x^{2}\)- 7 is a parabolic function that opens upward and has a minimum point. Since the parabola opens upward, it is not one-to-one. Therefore, f(x) = \(x^{2}\) - 7 does not have an inverse function. Now, to find (t-1)(a), we can use Theorem 5.9, which states that if a function f has an inverse function g, then f(g(x)) = x for every x in the domain of g. Since f does not have an inverse function, we cannot directly use this theorem. Hence, we cannot find (t-1)(a) using the given function f and the real number a because f does not have an inverse function.

Learn more about inverse function Here:

https://brainly.com/question/29141206

#SPJ11

The probability of making a Type II error if the null hypothesis is actually true is C) 0.

If the null hypothesis is actually true, it means that there is no difference between the sample and population, or no effect of the independent variable. A Type II error occurs when the null hypothesis is not rejected, even though it is actually false. Therefore, the probability of making a Type II error when the null hypothesis is actually true is 0.

The probability of making a Type II error can be calculated using the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false. However, this information is not provided in the question.

For more questions like Probability click the link below:

https://brainly.com/question/30034780

#SPJ11

Answer:

First Newton's Law of motion

Step-by-step explanation:

a body will remain in it's constant motion or at rest unless acted upon by an external force.

Answer:

30.4

Step-by-step explanation:

2 times 15.2

As the sample size increases, the variability among the sample means decreases, option A.

The number of observations used to calculate estimates for a certain population is known as the sample size. The sample size was determined by drawing from the population. Sampling is the practise of choosing a portion of the population from which to draw conclusions about the characteristics of the entire population. A subset of a population is chosen for study based on the number of entities in it.

Population data is a sizable collection of information that covers the whole population under investigation. All the components that are investigated for the research make up a population.

Yet, sample data is a component of the population. Generally, computing the entire population is rather cumbersome and challenging. In this instance, a representative sample of the population is chosen. Sample data refers to this sample.

Learn more about Sample size:

https://brainly.com/question/30224379

#SPJ4

Jacinta should use the normal probability distribution model. She chose this model because the height of any given plant is independent of any other. Therefore, she expects the distribution of heights to be bell-shaped and symmetric. She assumes that the variability of the plant heights in the population should be normally distributed.

The probability model: Probability density function for a normal distribution is given as:f(x) = 1/(σ√(2π)) * e-((x-μ)²/2σ²) where

μ = mean of the population distribution

σ = standard deviation of the population distribution

√ = square root e = 2.718 (constant)

f(x) = Probability Density Function of Normal Distribution

Based on the information given, Jacinta expects the distribution of the height of the plants to be a normal distribution. Thus, to compare the sample percentage to the percentage the probability model asserts, she will use the z-score formula, which is expressed as:z = (x - μ) / (σ/√n)where, x = the sample meanμ = the population meanσ = the population standard deviation n = the sample size

To know more about Probability visit-

https://brainly.com/question/31828911

#SPJ11

Answer:

1/4096

Step-by-step explanation:

\((4*2)^{{(2-2*2)}^2}\\\\=8^{-2^2}\\\\=[\frac{1}{64}]^2\\\\=\frac{1}{4096}\)

you work from bottom to top

Answer:

The cost of 15 potatoes is $7.50

Step-by-step explanation:

The potatoes are sold at a rate of $0.5 per potato.

1. Given Amanda can only spend $5 on potatoes at that price, she can buy at most $5 / 0.5 = 10 potatoes.

Amanda can buy at most 10 potatoes

2. Sam wants to buy 15 potatoes at that very same price. The cost of 15 potatoes is:

15 * $0.5 = $7.50

The cost of 15 potatoes is $7.50

Section 4 focuses on elementary functions, transformations such as shifts and stretches, and quadratic functions, including parabolas.

Section 4 of the curriculum aims to provide a foundation in elementary functions and their properties.

Students will explore various types of elementary functions, including linear, polynomial, exponential, logarithmic, and trigonometric functions.

They will learn about the key characteristics and behaviors of these functions, such as their domains, ranges, and asymptotic behavior.

The section also covers transformations of functions, including vertical shifts (changes in the y-coordinate), vertical stretches or compressions, horizontal shifts (changes in the x-coordinate), and horizontal stretches or compressions.

These transformations allow students to manipulate the graphs of functions, observing how they change in shape and position.

Furthermore, the curriculum introduces quadratic functions and their graphical representation as parabolas.

Students will investigate the properties of quadratic functions, such as the vertex, axis of symmetry, and the effects of coefficients on the shape and position of the parabolic graph.

Overall, Section 4 serves as a comprehensive introduction to elementary functions, transformations, quadratic functions, and parabolas, providing a solid foundation for further mathematical exploration.

Learn more about Function click here :brainly.com/question/572693

#SPJ11

Thus, the p-value is greater than 0.10 (the significance level α), indicating that there is not enough evidence to support the alternative hypothesis.

To find the p-value, we need to calculate the test statistic and compare it to the critical value.

Given:

Sample 1: sample size (n1) = 22, variance (\(s_{1}^2\))

= 8, mean (x1(bar))

= 51

Sample 2: sample size (n2) = 20, variance (\(s_{2}^2)\)

= 11, mean (x2(bar))

= 50.5

To calculate the test statistic, we can use the formula for the difference in means:

t = (x1(bar) - x2(bar)) / √((\(s_{1}^2\)/n1) + (\(s_{2}^2\)/n2))

Substituting the given values:

t = (51 - 50.5) / √((8/22) + (11/20))

  = 0.5 / √(0.3636 + 0.55)

  = 0.5 / √0.9136

  ≈ 0.53

Now we need to find the degrees of freedom. For independent samples with equal variance, the degrees of freedom (df) can be calculated using the formula:

df = n1 + n2 - 2

Substituting the given values:

df = 22 + 20 - 2

  = 40

With α = 0.10, the critical value for a one-tailed test (upper tail) with 40 degrees of freedom is 1.684.

Now, we can determine the p-value. Since the alternative hypothesis is μ1 - μ2 > 0, we are conducting an upper-tailed test.

The p-value is the probability of obtaining a test statistic as extreme as the one observed (t = 0.53) under the null hypothesis.

By comparing the test statistic to the critical value, we can determine the conclusion:

Since the test statistic (0.53) is less than the critical value (1.684), we fail to reject the null hypothesis.

Therefore, the conclusion is: "We don't have enough evidence to conclude that the difference in means is > 0; therefore, H0 is not rejected."

To know more about statistic visit:

brainly.com/question/29342780

#SPJ11

The product of \(\rm (2m - 9)^2\) is \(\rm 4m^2-36m+81\).

Given

The product of \(\rm (2m - 9)^2\).

Multiplication is the process of calculating the product of two or more numbers.

The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a’ multiplied by ‘b’.

The product of \(\rm (2m - 9)^2\) is;

\(=\rm (2m - 9)^2\\\\= (2m-9)\times (2m-9)\\\\= 2m(2m-9)-9(2m-9)\\\\= 4m^2-18m-18m+81\\\\=4m^2-36m+81\)

Hence, the product of \(\rm (2m - 9)^2\) is \(\rm 4m^2-36m+81\).

To know more about Multiplication click the link given below.

brainly.com/question/19943359

Answer:The product of  is 4 m2 - 36 m + 81.

Given

The product of .

What is multiplication?

Multiplication is the process of calculating the product of two or more numbers.

The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a’ multiplied by ‘b’.

The product of  is;4 m2 - 36 m + 81

Hence, the product of  is 4 m2 - 36 m + 81.

Step-by-step explanation:hope this helps