Give the inequality -8<2 explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by negative 2

Therefore, it will take approximately 13.7 years for the population to double.

a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:

Growth Rate = (New Value - Old Value) / Old Value * 100

Using the given values, we have:

Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%

b. To write a general equation for the population, you can use the formula:

p(t) = p(0) * (1 + r/100)^t

where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.

c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:

p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4

Therefore, the estimated population in 2010 is approximately 2465.

d. To find out how many years it will take for the population to double, we need to solve the equation:

2 * p(0) = p(0) * (1 + r/100)^t

Simplifying the equation, we have:

2 = (1 + r/100)^t

Taking the logarithm of both sides, we get:

log(2) = t * log(1 + r/100)

Finally, solving for t, we have:

t = log(2) / log(1 + r/100)

Substituting the growth rate from part a, we have:

t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years

Therefore, it will take approximately 13.7 years for the population to double.

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either contradiction or not a linear equation

From the question we have the following information given;

This means the number of racers that did not complete the marathon was a total of those who gave up and those who were disqualified. That is, 33 racers did not complete the marathon.

Therefore, the percentage that did not complete the marathon would be calculated as follows;

ANSWER:

The percentage that did not complete the marathon was 10.65%

Answer:

There it gose

Step-by-step explanation:

To convert the given Cartesian coordinate `(3, 6)` to polar coordinates, we need to use the following formulas:  `r = sqrt(x^2 + y^2)` and `θ = atan(y/x)`Where `(x, y)` are Cartesian coordinates and `r` and `θ` are polar coordinates.

Let's put the given values in these formulas;`x = 3` and `y = 6`So, `r = sqrt(x^2 + y^2)` `r = sqrt(3^2 + 6^2)`  `r = sqrt(45)`  `r = 6.71` (rounded to 2 decimal places)Next, `θ = atan(y/x)` `θ = atan(6/3)` `θ = atan(2)`  `θ = 1.11` (rounded to 2 decimal places)

Now, we have `r = 6.71` and `θ = 1.11` as polar coordinates, and `0 ≤ θ < 2π` so the final answer is:r= 6.71θ = 1.11

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By using operations on integers, it can be calculated that

Difference between the amount of memory allocated by char*arr[3] on the intel ia 32 versus the intel x86-64 is 12 bytes

What is operation on integers?

At first it is important to know about integers

Integers are those numbers without any fractional part. Integers can be positive or negative and zero is also an integer.

The operation on integers are

Addition

Suppose there are numbers and the sum of those numbers has to be calculated. For this addition is used

Subtraction

To find the difference between two integers, subtraction is used

Multiplication

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers

Division

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This problem can be solved using operation on integers

On Intel IA 32, the address is 32 bit or 32 \(\div\) 8 = 4 bytes

On Intel x86 - 64, the address is 64 bit or 64 \(\div\) 8 = 8 bytes

On an array of size 3,

On Intel IA 32, the address is  4 \(\times\) 3 bytes = 12 bytes

On Intel x86 - 64, the address is  8 \(\times\) 3 bytes = 24 bytes

Difference between the address = 24 - 12 = 12 bytes

Difference between the amount of memory allocated by char*arr[3] on the intel ia 32 versus the intel x86-64 is 12 bytes

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Complete Question

how many bytes difference will there be in the amount of memory allocated by the following code on the intel ia 32 versus the intel x86-64?

char*arr[3]

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Answer:

3

Step-by-step explanation:

Answer:

u = 2\(\sqrt{3}\)

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin60° = \(\frac{\sqrt{3} }{2}\) , then

sin60° = \(\frac{opposite}{hypotenuse}\) = \(\frac{u}{4}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2u = 4\(\sqrt{3}\) ( divide both sides by 2 )

u = 2\(\sqrt{3}\)

It is an isosceles triangle which means that side BD=BC, The angles will be also equal i.e. Angle B= Angle C

\(4x + 19 = 2x + 33\)

\(4x + 19 - 2x = 33\)

\(4x - 2x = 33 - 19\)

\(2x = 14\)

\(x = 7\)

\(∠b = 4x + 19 \\ = 4 \times 7 + 19 \\ = 47\)

\(∠c = 2x + 33 \\ = 2 \times 7 + 33 \\ = 47\)

Now, We will find ∠D with the help of angle sum property of triangle

\(∠b + ∠c + ∠d = 180 \\ 47 + 47 + x = 180 \\ 94 + x = 180 \\ x =180 - 94 \\ x = 86\)

The measure of angles are; 47°,47°,86° respectively...

Answer:

25 nautical miles

Step-by-step explanation:

150/6=25

Answer:

4π-8

Step-by-step explanation:

area of top semicircle - area of triangle = answer

triangle is a 45 45 90 triangle, so the hypotenuse = one leg * √2 = 4 * √2

the hypotenuse (side opposite right angle) = the diameter

area of top semicircle = πr²  (area of whole circle) /2

radius = diameter / 2 = 2√2

area of top semicircle = 8π /2 = 4π

area of triangle = one leg ² /2 = 4²/2 = 8

thus, final area = 4π-8

Answer:

D

Step-by-step explanation:

4C1*5C1*6C1*8C1

=960

Answer:

the value of the new home after 12 years of increasing at 5% per year is $237,044.05.

Step-by-step explanation:

To find the value of the new home after 12 years of increasing at 5% per year, we can use the following formula for compound interest:

A = P(1 + r/n)^(n*t)

where:

A = the final amount (value of the home after 12 years)

P = the initial amount (sale price of the home)

r = the annual interest rate (5%)

n = the number of times the interest is compounded per year (assuming annual compounding, n = 1)

t = the number of years

Plugging in the given values, we get:

A = $132,000(1 + 0.05/1)^(1*12)

= $132,000(1.05)^12

= $132,000(1.795856)

= $237,044.05

Therefore, the value of the new home after 12 years of increasing at 5% per year is $237,044.05.

\(\boldsymbol{5x+15=30}\)

Subtract 15 from both sides.

Subtract 15 from 30 to get 15.

Divide both sides by 5.

Divide 15 by 5 to get 3.

Let x=3.

Checked ✅

\(\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}\)

Step-by-step explanation:

a. increased b. discreased c. increased d. decreased

14.3%

difference/actual = (3.2 - 2.8)/2.8 x 100% = 14.3% (3sf)

do check out my insta for more tips (learntionary)

The resulting dimensions of the acetal disk under a 30-kN load cannot be calculated without additional information about the material properties and deformation behavior.

To calculate the resulting dimensions of the acetal disk, we need to know its properties such as its modulus of elasticity, Poisson's ratio, and yield strength. Without this information, it is not possible to accurately calculate the resulting dimensions.

However, assuming that the acetal disk behaves as a linearly elastic material and that it does not yield under the applied load, we can use the following formula to calculate the resulting dimensions:

δ = PL/(Et^3π/16)

where δ is the deflection of the disk, P is the applied load, L is the diameter of the disk, t is the thickness of the disk, E is the modulus of elasticity, and ν is Poisson's ratio.

Assuming that the acetal disk has a modulus of elasticity of 2.8 GPa and a Poisson's ratio of 0.35, we can calculate the deflection of the disk as follows:

δ = (30 kN)(25 mm)/[(2.8 GPa)(5 mm)^3π/16] ≈ 0.021 mm

Therefore, the resulting dimensions of the acetal disk would be:

Diameter: 25 mm + 2δ ≈ 25.042 mm

Thickness: 5 mm - δ ≈ 4.979 mm

Note that these calculations are based on several assumptions and simplifications, and the actual resulting dimensions of the acetal disk may differ from these estimates. It is always important to consider the specific properties and behavior of the material being used in any mechanical loading device.

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The expected value of the absolute value of the difference of two distinct integers chosen at random from the first six positive integers is 35/12.

To find the expected value, we need to consider all possible pairs of distinct integers and their corresponding absolute differences. There are a total of 15 pairs, and we can list them as (1,2), (1,3), (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,4), (3,5), (3,6), (4,5), (4,6), and (5,6).

The absolute differences of these pairs are 1, 2, 3, 4, 5, 1, 2, 3, 4, 1, 2, 3, 1, 2, and 1, respectively. The expected value is the sum of the products of each absolute difference and its corresponding probability, which is 1/15 for each pair, giving us:

(1/15) × (1+2+3+4+5+1+2+3+4+1+2+3+1+2+1) = 35/12.

Therefore, the expected value of the absolute value of the difference of these two numbers is 35/12.

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Answer:

You own a car made by Toyota if you own a Prius.

Step-by-step explanation:

If the conditional is p->q then the converse would be q->p. So basically to get the converse switch the order of the statements.

Answer:

I hope this is helpful

Step-by-step explanation:

mark brainlest pls

The answers that  best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.

The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.

To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.

Therefore the correct option is C.

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Answer:

NT and MT

Step-by-step explanation:

Sorry I'm late lol.

The two segments form a right angle where they intersect, which is a common indication of perpendicular lines.

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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The range of the Morning box plot is the same as the range of the Afternoon box plot. Therefore, the correct answer is option A.

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

Number of sales in Afternoon:

Minimum value = 4

First quartile = 8

Median = 14

Third quartile = 15

Maximum value = 16

Here, the range is 16-4=12

Number of sales in Morning:

Minimum value = 3

First quartile = 5

Median = 8

Third quartile = 12

Maximum value = 15

Here, the range is 15-3=12

Therefore, the correct answer is option A.

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The graph of the given inequality, 8y ≤ 12x , is shown below

From the question, we are to graph the given inequality

The given inequality is

8y is less than or equal to 12x

That is,

8y ≤ 12x

To graph the inequality, we will determine some of the points of on the line 8y = 12x

When x = 2

8y = 12x

8y = 12(2)

8y = 24

y = 24/8

y = 3

(2, 3)

When x = 4

8y = 12x

8y = 12(4)

8y = 48

y = 48/8

y = 6

(4, 6)

Using the points above, the graph of the inequality is shown below. Since the sign is less than or equal to, ≤, the line is a solid line and the solution is below the line

Hence, the graph of the given inequality, 8y ≤ 12x , is shown below

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The only like terms are StartFraction 2 x over 5 EndFraction and StartFraction x over 3 EndFraction.Like terms are those terms that have the same variables and the same exponent in them, and they can be combined or added.

Like terms are those terms that have the same variables and the same exponent in them, and they can be combined or added. From the given algebraic expressions, the like terms are:StartFraction 2 x over 5 EndFraction and StartFraction 2 x over 5 EndFraction2.2 and 5.2yStartFraction x over 3 EndFraction and StartFraction 2 x over 5 EndFraction

Given algebraic expression isStart Fraction 2 x over 5 EndFraction - 5.2y2. 2StartFraction x over 3 End FractionStart Fraction 2 x over 5 End Fraction and -5.2y are not like terms because the variable x is in different forms and y is also in different forms.So, the only like terms are StartFraction 2 x over 5 EndFraction and StartFraction x over 3 EndFraction.

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Answer:

I can't see the answer choices, so I'll do my best to explain.

Step-by-step explanation:

Linear growth is growth where the growth is the same in each step. This means the line is straight, or linear. An example would be y = x or y = 6x +1. As long as there is no exponent on the variable or it is not in the bottom of a fraction, it should be linear.

Answer:

ACD

Step-by-step explanation: