N
A city has a population of 360,000 people. Suppose that each year the population grows by 3%. What will the population be after 13 years?
Use the calculator provided and round your answer to the nearest whole number.

Answer:

-8x² - 12x + 1

Step-by-step explanation:

just add or subtract values with the same terms. eg -7x + 4x ,, etc

Answer: 15,048

Step-by-step explanation:

As per the Newton's method, the equal ration of the Pizza is 3: 2: 3

In math, Newton's method states that a technique for solving equations of the form f(x)=0 by successive approximation

Here we have given that three calculus students entered a pizza parlor. they were quite hungry and ordered an entire pie, instead of having the pizza maker cut the pie in the usual manner they asked her to slice the pie into three equal areas using only two parallel slices.

And we need to find these slices be made in order to accomplish this

Here let us assuming that the pizza has unit radius, and the area of the pizza is π and each piece has to have area π/3.

Therefore, the given details is enough to find the height of a circle segment such that its area is one third of the original circle,

As per the Newton's method, we get the value of h as,

=> h ≈ 0.735068 ≈ 4492/6111,

Therefore the three slices have widths approximately proportional to 3:2:3.

To know more about Newton's method here

https://brainly.com/question/29900853

#SPJ4

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/4.A spinner is a gambling tool used for games and competitions. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result.

When it stops, a pointer will land on one of many different numbered segments of the spinner, each of which corresponds to a particular reward or consequence. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result. Probability is the study of the likelihood of events taking place.

Probability is expressed as a fraction, decimal, or percentage and is always between 0 and 1. The probability of an event can be calculated using the following formula: Probability = number of favorable outcomes / total number of possible outcomes. Given the spinner has a polka-dot section, 2 white sections, and 1 shaded section, it has a total of 4 sections.

Therefore, the probability of the spinner stopping at a polka-dot section is 1/4.Also, after the first spin, the spinner still has 2 white sections. Therefore, the probability of stopping at a solid white section is 2/4 or 1/2 (since there are only 2 possible outcomes after the first spin).

To determine the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section, we must multiply the probability of each event.1/4 × 1/2 = 1/8

Hence, the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

Know more about  probability  here:

https://brainly.com/question/25839839

#SPJ8

True

In a symmetrically shaped distribution of scores, regardless of whether it has one mode or two modes, the mean value tends to be similar to the median value.

When a distribution is symmetric, it means that the data is evenly distributed around the central point, resulting in a bell-shaped curve. In such cases, the mean, median, and mode are typically close to each other.

The mean is the arithmetic average of all the scores in a distribution, while the median represents the middle value when the scores are arranged in ascending or descending order. In a symmetric distribution, the mean and median are located at the exact center of the distribution.

If the distribution has only one mode, it means that there is one prominent peak or high point in the data. In this case, the mean and median will coincide with the mode and will be similar.

If the distribution has two modes, it means that there are two prominent peaks in the data, but they are symmetrical around the center. Even though there are multiple modes, the mean and median will still be similar and tend to be located between the two modes.

In summary, in symmetrically shaped distributions, regardless of the presence of one or two modes, the mean and median values are expected to be close to each other.

Learn more about Distribution

brainly.com/question/29664127

#SPJ11

Answer:

x+4y=13

Step-by-step explanation:

slope m= -1/4

(-3,4)

Slope intercept form: y=mx+c. plug in values of x,y,m, find c

4=(-1/4)*(-3)+c

c=4-3/4=(16-3)/4=13/4

Equation of line is:

y=(-1/4)x+13/4

To bring it to standard form, 4y=-x+13

x+4y=13

Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2  such that f'(c) = 0.

Given:

Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.

f(x)=x^2−4x+8, [0,4]

when, x = 0

f(x) = x^2 -4x +8

f(0) = y = 0 - 0 + 8 = 8

when, x=4

f(5) = y = 16 - 16+8 =

thus, we have 2 points (0, 8) ; (4, 8)

slope,m = {8-(8)} / {4-0} = 0

hence, we have to calculate all the points,x where 0<x<8 and slope=0

f '(x) = 2x - 4 = 0

or, f '(c) = 2c - 4 = 0

c = 4/2 =2 ( 0<x<4)

hence, the there is only one solution c=2 which satisfies Rolle's theorem.

Learn more about the rolle's theorem here:

https://brainly.com/question/13972986

#SPJ4

Answer:

Step-by-step explanation: I think -5 would change to a positive 5 because of the distributive property. In the part -(2x-5), there is a invisible 1 next to the left parenthesis, so it would be -1(2x-5). Then you would distribute the -1 one to the 2x and the -5. So the thing would look like this: -2x+5.

The bearing of point A from point O is 256°.

In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.

Given that, angle x= 076° and angle y = 111°.

Now, the bearing of point A from point O is

180°+ 076°

= 256°

Therefore, the bearing of point A from point O is 256°.

Learn more about the bearings here:

https://brainly.com/question/27962362.

#SPJ1

Rotation - Rotation is a plane transformation that rotates every point in a figure through a given angle and direction on a fixed point.

Transformation - Transformation is a process that alters the shape and or position of a point, a line, or a geometric figure.

Translation - Translation occurs when a figure is relocated from one position to another without changing its size, shape, or orientation.

Dilation - Dilation is a transformation that alters the size of a figure, whether enlarging or shrinking it, but it has no effect on the shape of the figure.

Angle of Rotation - Angle of Rotation is the amount that a figure is rotated about a fixed point referred to as the point of rotation.

Line of Reflection - Line of Reflection is a transformation in which each point in a shape appears at an equal distance on the opposite side of a given line.

Hope this helps!!

Answer:

nsgs6

68÷9

02_3

73929

Step-by-step explanation:

8282×627=628373

Answer:

i hope this helps you!

Step-by-step explanation:

To determine the 95% energy bandwidth (B) of the signal g(t) = [0.5sinc²(0.5 t) cos(2 t)], we can apply Parseval's Theorem. Parseval's Theorem states that the total energy of a signal in the time domain is equal to the total energy of the signal in the frequency domain. Mathematically, it can be expressed as:

∫ |g(t)|² dt = ∫ |G(f)|² df

In this case, we want to find the frequency range within which 95% of the energy of the signal is concentrated. So we can rewrite the equation as: 0.95 * ∫ |g(t)|² dt = ∫ |G(f)|² df

Now, we need to evaluate the integral on both sides of the equation. Since the given signal is in the form of a product of two functions, we can separate the terms and evaluate them individually. By applying the Fourier transform properties and integrating, we can find the value of B.

For part (b), when we consider g(2t), the time domain signal is compressed by a factor of 2. This compression results in a corresponding expansion in the frequency domain. Therefore, the 95% energy bandwidth of g(2t) will be twice the value of B determined in part (a). This can be justified by considering the relationship between time and frequency domains in Fourier analysis, where time compression corresponds to frequency expansion and vice versa.

Learn more about Parseval's Theorem here: brainly.com/question/33212886

#SPJ11

a) (2.3 × \($10^4\)) × (1.5 × \($10^{-2}\)) in standard form

The number in standard form is 345

explanation:

The given two multiplication of the numbers is :

(2.3 × \($10^4\)) × (1.5 × \($10^{-2}\))

First we multiply the non exponential terms as shown below

2.3 × 1.5 = 3.45

Now we multiply the exponential terms as shown below

\($10^4\) × \($10^{-2}\) = 100

Now multiplying the exponential and non exponential term we get the number in standard form as shown below

(2.3 × \($10^4\)) × (1.5 × \($10^{-2}\))  in standard form 345

(3.6 × \(10^-5\))÷(1.8 × 10²) in standard form 0.0000002

(8 ×  10^-3) ×  (2 ×  \(10^-4\) in standard form  1.6 × \(10^-6\)

(6 × 10²)/(3 × 10-5) in standard form 20,00,0000

5.1 × \($10^-1\) in ordinary number is 0.51

(1.7 × \(10^4\)) × (8.5x ×\(0^-2\)) in standard form  1.445 × 10³.

3.45 x  100 = 345

Therefore, the number in the standard form is 345

b) (3.6 × \(10^-5\))÷(1.8 × 10²) in standard form

The number in standard form is 0.0000002

explanation:

By dividing 3.6 by 1.8 we get “2”, hence the above equation becomes,

(2 × \(10^-5\)) /\(10^2\)

We know that

\(\frac{x^{a} }{x^{b} } = x^{a-b}\)

Therefore the above equation becomes,

2 × \(10^-7\)

since the exponent of 10 is negative , therefore 7 zeros are written on the left hand side of the number = 0.0000002

Therefore, the number in the standard form is 0.0000002

c) (8 × \(10^-3\)) × (2 × \(10^-4\)) in standard form

The number in standard form is 1.6 × \(10^-6\)

explanation:

Given the product of scientific notations:

(8 ×  \(10^-3\)) ×  (2 ×  \(10^-4\))

This can be expressed as:

(8 × 2) ×  (\(10^-3\) × \(10^-4\))

= 16 ×  \(10^-3\)-4

= 16 × \(10^-7\)

= 1.6 × \(10^1\) × \(10^-7\)

= 1.6 × \(10^-6\)

Therefore, the number in the standard form is 1.6 × \(10^-6\)

d) (6 × 10²)/(3 × 10-5) in standard form

The number in standard form is 20,00,0000

e)  5.1 × 10^-1 as an ordinary number

The ordinary number is 0.51

usual form of 5.1 × \(10^1\) is

5.1 ×  1/ \(10^1\)

= 5.1/10

= 0.51

Therefore , ordinary number is 0.51

f) (1.7 × \(10^4\)) × (8.5 × \(10^-2\))  in standard form.

The number in standard form is 1.445 × 10³.

To learn more about standard form refer :

https://brainly.com/question/19169731

#SPJ13

Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..

What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i

This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.

To know more about amplifier visit:

https://brainly.com/question/32812082

#SPJ11

Answer:

y =4

x=1

Step-by-step explanation:

in comment

sbajbaaj

Answer:

Step-by-step explanation:

The first is 2, the second is 6 and the third is 14.

By utilizing Cramer's Rule, which entails determining the determinants of several matrices, The correct option is (e) none of the above

What is Matrix?

The given system of equations can be written in matrix form as follows:

| 1 -3 1 | | x | | 4 |

| 2 -1 0 | | y | = |-24 |

|-3 0 -3 | | z | | 0 |

Finding the determinant of the coefficient matrix (A) and the determinants of the matrices created by replacing the y-column with constants (B) and dividing by the determinant of A are required in order to solve for y.

The determinant of matrix A is given as -11.

To find the determinant of matrix B, we replace the y-column with the constants:

| 1 -3 1 |

| 2 -1 0 |

|-3 0 -3 |

| 4 -3 1 |

|-24 -1 0 |

| 0 0 -3 |

The determinant of matrix B is -9.

Now, we can find the value of y by using Cramer's Rule:

y = determinant of B / determinant of A

= (-9) / (-11)

= 9/11

Therefore, the value of y in the solution set is y = 9/11.

None of the options (a), (b), (c), or (d) match the correct value of y = 9/11, so the answer is (e) None of the above.

Learn more about Matrix here brainly.com/question/28777961

#SPJ4

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. In science, observation can also entail the perception of information and the recording of that information using tools.

Because of ethical considerations or practical limitations, an observational study infers information from a sample to the population even when the researcher has no control over the independent variable.

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the possibility or effectiveness of something that has never been done before. Experiments show what happens when a certain component is modified, which sheds light on cause-and-effect relationships.

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

To learn more about Experimental Study refer to :

https://brainly.com/question/30363686

#SPJ4

Answer: 210

Step-by-step explanation:

We are given the following parent function f(x)

The transformed function g(x) is

Notice that the change is done in the horizontal direction.

Recall that the transformation rule for the horizontal translation to the left is given by

Where c is the number of units by which the graph is shifted to the left.

So, we should expect that the graph is horizontally shifted to the left by 1 unit.

Therefore, the above is graph represents the transformed function g(x) which is horizontally shifted to the left by 1 unit.

The time take for the object to cool down is 5 minutes.

The temperature of a substance is a measure of its thermal energy and it is important to know how it changes over time.

Heat transfer occurs from hot to cold, meaning that the coffee will transfer heat to the room until both reach thermal equilibrium. The temperature difference between the coffee and the room is

=> 80°C - 25°C = 55°C.

We will use this value to calculate the rate of heat transfer. We know that the final temperature of the coffee will be 45°C, so the temperature difference will become

=> 45°C - 25°C = 20°C.

The time it takes to cool from 80°C to 45°C will depend on the heat transfer rate, which is affected by factors such as the mass of the coffee, the material of the container, and the surrounding environment.

Let us consider that the average heat rate is 60 seconds that is one minute.

Then the time taken for it is calculated as,

=>20 x 60 = 300

So, in minutes 5 minutes.

To know more about temperature here,

https://brainly.com/question/7510619

#SPJ4

Answer:

D. 2√2

Step-by-step explanation:

sin 45° = 1/√2

P/H = 1/√2

x/4 = 1/√2

= 1/√2 × 4

= 4/√2

x = 4×√2/√2×√2

= 4√2 /2

= 2√2

Option D. 2√2

Answer:

17.5 miles per every hour

Step-by-step explanation:

All you do is divide 420 by 24 to find the unit

Unit rate = total miles/ total time.

Unit rate = 420/24 = 17.5 miles per hour

Answer:

13/30

Step-by-step explanation:

There are seventeen red and thirteen green apples in a bag. I am going to take out an apple without looking. What is the probability that the apple will be green?

The Probability that the apple that will be picked is green is calculated as:

Number of green apples/ Total number of apples

Total number of apples = 17 red apples + 13 green apples

= 30 apples

Hence:

P( Green apples) = 13/30

Answer:

Step-by-step explanation:

Remember the midpoint formula:

\((\frac{x2+x1}{2},\frac{y2+y1}{2} )\\\)

Substitute in your values

 \((\frac{7.6+21.8}{2},\frac{1.7+9.3}{2} )\\\)

Solve

\((\frac{29.4}{2},\frac{11}{2} )\\(14.7,5.5)\\\)

Answer: (14.7,5.5)

Step-by-step explanation: I got it right on the test...

The formulas for the rigid transformations of the figures are listed below:

Case 1: (x, y) → (x - 10, y + 9)

Case 2: (x, y) → (- y, x)

Case 3: (x, y) → (- x, y)

Case 4: (x, y) → (- y, x)

Case 5: (x, y) → (x, - y)

Case 6: (x, y) → (x, y + 10)

In this question we find six cases of rigid transformations applied on figures. The most common rigid transformations are listed below:

Then, by direct inspection, we derive the following rigid transformations:

Case 1 (Translation)

(x, y) → (x - 10, y + 9)

Case 2 (Rotation)

(x, y) → (x · cos (- 270°) - y · sin (- 270°), x · sin (- 270°) + y · cos (- 270°))

(x, y) → (- y, x)

Case 3 (Reflection about y-axis)

(x, y) → (- x, y)

Case 4 (Rotation)

(x, y) → (x · cos 90° - y · sin 90°, x · sin 90° + y · cos 90°)

(x, y) → (- y, x)

Case 5 (Reflection about x-axis)

(x, y) → (x, - y)

Case 6 (Translation)

(x, y) → (x, y + 10)

To learn more on rigid transformations: https://brainly.com/question/28004150

#SPJ1

Answer:

yes

Step-by-step explanation:

every hours of training has mapped to monthly pays and each element in hour of training has mapped to unique element in monthly pay.