Factor the trinomial below.

9x2 + 6x + 1

A. (3x + 1)(3x – 1)
B. (9x + 1)(x – 1)
C. (9x + 1)(x + 1)
D. (3x + 1)(3x + 1)

The weight of a newly hatched channel catfish after four weeks of exponential growth is approximately 1.14 grams.

To find the weight at the end of four weeks, we need to convert the number of weeks to days since the growth rate is given in terms of daily percentage increase. The formula to calculate exponential growth is A = C(1 + r)^t, where A is the final weight, C is the initial weight, r is the growth rate, and t is the number of periods. In this case, C = 0.3 grams, r = 0.10 (10% daily increase), and t = 4 weeks x 7 days/week = 28 days. Plugging in these values, we get A = 0.3(1 + 0.10)^28. Evaluating the expression, the weight at the end of four weeks is approximately 1.14 grams.

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Answer with Step-by-step explanation:

We are given that a  class's test scores are normally distributed with the average score 60.

We know that the curve of a normal distribution is symmetric about its mean.

60-14=46

60+14=74

Hence, the point 46 lies to the left of the mean and 74 lies to the right of mean and the two points have the same function value

(since the graph is symmetric to the left and right of mean i.e. points which are equidistant from the mean have same values)

Answer:

One of the answers I got that was correct was the box on the furthest left.

Step-by-step explanation:

Functions can be represented as equations, and equations can be represented as functions.

The value of b is 1/2

The graph is given as:

[tex]\mathbf{y = b^x}[/tex]

From the graph, we have the following point:

(x,y) = (-1,2)

Substitute these values in the function

[tex]\mathbf{2 = b^{-1}}[/tex]

Rewrite as:

[tex]\mathbf{2 = \frac{1}{b}}[/tex]

Multiply both sides by b

[tex]\mathbf{2b = 1}[/tex]

Divide both sides by 2

[tex]\mathbf{b = \frac{1}2}[/tex]

Hence, the value of b is 1/2

Read more about graphs and functions at:

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To find the density of the stone, subtract the initial volume of water from the final volume, then divide the mass of the stone by the volume. The density of the stone is 2.45 g/cm³.

In order to find the density of the stone, we first need to calculate its volume. The volume can be determined by subtracting the initial volume of water in the graduated cylinder from the final volume with the stone submerged. In this case, the volume of the stone is 30.2 mL - 20 mL = 10.2 mL.

Next, we can use the formula for density: density = mass/volume. Plugging in the given values, we have density = 25 g/10.2 mL.

Since density is mass divided by volume, we need to convert mL to g/cm³. 1 mL is equal to 1 g/cm³. Therefore, the density of the stone is 25 g/10.2 mL = 2.45 g/cm³.

The question relates to combinatorial mathematics and asks for possible arrangements of 5 cars of three different colors. Treating identical colors as one entity, we find that there are 6 ways to arrange the color groups and another 6 ways to arrange the red cars among themselves, resulting in 36 possible arrangements.

The subject of this question is combinatorial mathematics. We're asked how many different arrangements there are if we have 5 cars to be displayed in 5 parking spaces, with the condition that the cars are identical besides their color; 3 of them are red, 1 is blue, and 1 is yellow.

Since three cars are identical (red ones), we treat them as one. So initially, we have three 'entities' to arrange: the red group (of 3 cars), the blue car, and the yellow car. These can be arranged in 3! (which means 3 factorial, or 3 * 2 * 1) = 6 ways.

However, within the red group, those 3 red cars can be arranged amongst themselves in 3! = 6 ways.

Therefore, to get the total number of arrangements, we multiply these results together, giving us: 6 * 6 = 36 different arrangements.

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Answer: Muslims

Total Muslims in Indonesia is approximately 207.2 million or 87.2 (90%) of the total population. Other religions recognized by the Indonesian government aside from Islam are Protestant, Catholic, Hindu, Buddhism, and Confucian which accounts for  6.9,2.9,1.7,.7 and .05% of the total population, respectively.   

Religion is a  mandatory personal data to the Indonesians.

Answer:

MUSLIMS

Step-by-step explanation:

It would take the apprentice 30 hours to wire the house alone.

Let's assume that the work done by the electrician alone in 1 hour is represented by E, and the work done by the apprentice alone in 1 hour is represented by A. According to the given information, the electrician can wire the house in 20 hours, so E = 1/20. When the electrician and the apprentice work together, they can wire the house in 12 hours, so their combined work in 1 hour is represented by (E + A) = 1/12.

To find out how long it would take the apprentice to wire the house alone, we can subtract the work done by the electrician in 1 hour (E) from the combined work done by both the electrician and the apprentice in 1 hour (E + A), which gives us A = (E + A) - E. Substitute the values:

A = (1/12) - (1/20) = (20 - 12) / (12 x 20) = 8 / 240 = 1/30.

So, the apprentice can wire the house alone in 30 hours.

y = 1/(x - 2)   - 3

y' = d(x - 2)^-1 / dx   The three is a constant and will disappear.

y' = d(x - 2)^-1 -1 d(x - 2)/dx

y' = -1*(x - 2)^-2 * 1  

The minus comes from bringing down the original power down and reducing the power by one of the question. The 1 at the end comes from differentiating what is inside the brackets. It is called the chain rule

d(x - 2) / dx = d(x) / dx which is 1. The two, being a constant, disappears. The final answer is

y' = - (x - 2)^-2

Answer:

[tex]\displaystyle y' = \frac{-1}{(x - 2)^2}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]  

Basic Power Rule:

Derivative Rule [Quotient Rule]:                                                                           [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \frac{1}{x - 2} - 2[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

It would be 30

Step-by-step explanation:

I did it on plato

A will tells everyone what will happen to your money, possessions, and property when you die. There are many reasons to make a will. First, it will be easier for your family and friends to sort everything out. Without a will, it can be very stressful and time consuming to figure out how to allocate everything. Plus, if you don't have a will the law will decide how to allocate it and this might not be the way you want it. It can be especially important to write a will if you have children or other family that depend on you financially. This way, you can leave them the most possible to help them even when you are no longer alive. By writing a will, you can decrease the amount of inheritance tax that might need to be paid on any property and money that you will leave behind. Ultimately, by writing a will you will be able to decide who you leave your money, possessions, and property to when you die which can be very important to some individuals.