5/6 = 25/? Fractions

No, the growth model function that represents the population of the city is not linear in this case.

A linear function has a constant rate of change, meaning that the population would increase by the same amount each year. However, in this scenario, the population is increasing at an annual rate of 4% per year. This means that the population growth is exponential, not linear.

To model the population growth over time, you would need to use an exponential function, such as:

P(t) = P₀ * (1 + r)^t

Where:

P(t) represents the population at time t,

P₀ represents the initial population (in this case, 10000),

r represents the annual growth rate (4% or 0.04),

and t represents the number of years.

Using this exponential function, you can calculate the population at any given year based on the initial population and the growth rate.

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We will investigate how to evaluate a function given an input value.

A function is defined as a unique relationship between an input and an output variable. Furthermore, for each value of an input there is a unique value of an output. In graphical terms all functions qualify the vertical line test.

A function is expressed in terms of an independent variable also called as an input variable. It is defined over the domain of indepedent variable which expresses a set of values that are of control, whereas, the output of a function depends on its domain.

We are given the following function as follows:

The above function is defined for all real values of ( x ) unless specified in the context of the problem. We can go ahead and write down the domain of the above function as follows:

We are to evaluate the given function [ f ( x ) ] for one of the values from the domain expressed above i.e:

The operation of evaluating a function can be summarized as a substitution of the input value in the function's relationship and simplifying the result as follows:

The above result of the function evaluation is as follows:

Answer: concave

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer:

like 149

Step-by-step explanation:

big brain

Answer:

To prove that none of the terms of the sequence 2, 5, 8 are perfect squares, we need to show that no integer exists such that its square equals 2, 5, or 8.

First, let's consider 2. We can start by assuming that there exists an integer n such that n^2 = 2. However, this leads to a contradiction, because the square of any integer is always non-negative, so n^2 cannot be equal to a negative number like 2. Therefore, there is no integer n such that n^2 = 2, and 2 is not a perfect square.

Similarly, let's consider 5. Again, assume that there exists an integer n such that n^2 = 5. However, this leads to another contradiction, because the square of any integer is always either a perfect square or a number that is slightly larger than a perfect square (for example, 4^2 = 16 and 6^2 = 36). Since 5 is not a perfect square, it cannot be equal to the square of any integer, and there is no integer n such that n^2 = 5.

Finally, let's consider 8. We can again assume that there exists an integer n such that n^2 = 8. However, this leads to a contradiction, because the square of any even integer is always a multiple of 4 (for example, (2n)^2 = 4n^2). Since 8 is not a multiple of 4, it cannot be equal to the square of any integer, and there is no integer n such that n^2 = 8.

Therefore, we have shown that none of the terms of the sequence 2, 5, 8 are perfect squares.

Answer:

D (4,11)

Step-by-step explanation:

Answer: it’s d

x is just going up by 1 and y is going up by 2

Answer:

± (1 ÷ 9)

Step-by-step explanation:

Data provided in the question

Since  3 is added to the absolute value and -9

The result is 4

Now this information should be transformed in a mathematical equation

Let us assume be x so the product of the number and -9 be -9x

Fo rthe absolute value we use the mode. Thus the required expression is:

3 + |-9x|

Given that the result is 4

So, it would be

3 + |-9x| = 4

Now Solving the above equation which is given below:

|-9x| = 4-3

|-9x| = 1

here we will remove the mode by introducing ± sign which is shown below:

-9x = ± 1

-9x = 1 or -9x = -1

x = -1/9

or

x = \(\frac{1}{9}\)

Therefore, the value of x is ± (1 ÷ 9).

The domain of the given graph is All real numbers except 0.

Domain:

Domain refer the set of inputs accepted by the function. Basically, the set of all x axis values are the domain for the function.

Given,

Here we have the graph.

And we have to find the domain for the given graph.

While we looking into the given graph we have identified that there are two line are passing on the coordinate plane.

And the graph shows a particular case of a hyperbola, which is continuous for all values of x, except the value of x where discontinuity exists. Therefore, the domain of the function is all real numbers except 0.

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Answer:

(-1,-2)

Step-by-step explanation:

Hello!

The solution to the system is at the intersection between the two graphed lines.

Remember that a coordinate is written in (x,y) format, so we take the x-value of the points and the y-value of the point.

The coordinate is (-1, -2).

Answer: 4

This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.

4/5 ÷ 1/5

Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:

4/5 x 5

To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.

You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.

Hope this helps!

time is measured in seconds

Answer:

2100

Step-by-step explanation:

Explanation:

The angles do not need to be touching, or adjacent, for them to be supplementary. They simply need to add to 180 degrees.

We have 70+110 = 180, so that proves the angles are supplementary. They can be rearranged to glue together to form a straight angle.

If the angles were supplementary and adjacent, then we can consider them as a linear pair. This is possibly what Suzie might be thinking about.

Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

Step-by-step explanation:

when using similar processes to converting from smaller to large units. When converting a large unit to a smaller one, you can multiply;when you convert a smaller unit to large one, you can divide.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

25 + 14 / (5-3)

25 + 14 / 2

25 + 7

32

a) the demand equation in the form of p = f(Q) is p = -10/3Q + 14533.33

b) when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

c) when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

To find the demand equation in the form of p = f(Q), we need to determine the relationship between the price per unit (p) and the quantity demanded (Q) based on the given information.

Let's use the two data points provided:

Point 1: Price (p1) = Rs 1200, Quantity (Q1) = 4000

Point 2: Price (p2) = Rs 1500, Quantity (Q2) = 3000

First, we calculate the slope of the demand equation using the formula:

Slope = (Q2 - Q1) / (p2 - p1)

Substituting the values, we get:

Slope = (3000 - 4000) / (1500 - 1200) = -1000 / 300 = -10/3

Next, we use one of the data points and the slope to find the y-intercept (b). Let's use Point 1:

p1 = Rs 1200, Q1 = 4000

Using the equation of a straight line (y = mx + b), we can rearrange it to solve for b:

b = y - mx

b = 1200 - (-10/3)(4000) = 1200 + 40000/3 = 1200 + 13333.33 = 14533.33

Therefore, the demand equation in the form of p = f(Q) is:

p = -10/3Q + 14533.33

To find the number of calculators demanded (Q) when the price per unit is Rs 1650, we can rearrange the equation and solve for Q:

1650 = -10/3Q + 14533.33

-10/3Q = 1650 - 14533.33

-10/3Q = -12883.33

Q = (-12883.33) / (-10/3)

Q = 12883.33 * 3/10

Q ≈ 3865

Therefore, when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

Now, let's determine the price per unit (p) when 4500 calculators are demanded. We rearrange the equation and solve for p:

4500 = -10/3Q + 14533.33

-10/3Q = 4500 - 14533.33

-10/3Q = -10033.33

Q = (-10033.33) / (-10/3)

Q = 10033.33 * 3/10

Q ≈ 3010

Therefore, when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

By using the slope-intercept form of a linear equation and the given data points, we can determine the demand equation and solve for various scenarios, including finding quantities demanded at specific prices and determining the appropriate price for a given quantity demanded.

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Answer:

15. d(1,3) e(4,4) g(1,-1) f(4,-2)

16. e(2,-1) f(4,-1) g(2,-3) h(4,-5)

Step-by-step explanation:

These are the coordinates to each point (x,y)

I hope this helps!!

Step-by-step explanation:

f(1)= 1²+4×1=5

f(2)=2²+4×2= 12

f(3)=3²+4×3=21

domain

1,2,3

range

5,12,21

Answer:

0,1,4,9,16,25,36,49,64,81,121,144,169,196,225,256,289,324,361,400

n^2 will still give you an odd integer, but if you add one it will be an even integer

The value of x from the venn diagram if P(T | V) = 1/5 is 16

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

The venn diagram

From the venn diagram, we have the following probability values

P(T | V) = (x - 4)/(3x + x - 4)

Evaluate the like terms

So, we have

P(T | V) = (x - 4)/(4x - 4)

From the question, we have

P(T | V) = 1/5

This means that

(x - 4)/(4x - 4) = 1/5

When evaluated, we have

x = 16

Hence, the value of x is 16

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Answer:

20 in³

Step-by-step explanation:

Area of a triangle is half the base times the perpendicular height:

A=0.5bh

=0.5*10*4

=20