In a laboratory experiment, the population of bacteria in a petri dish started off at
2600 and is growing exponentially at 13% per day. Write a function to represent the
population of bacteria after t days, where the hourly rate of change can be found
from a constant in the function. Round all coefficients in the function to four decimal
places. Also, determine the percentage rate of change per hour, to the nearest
hundredth of a percent.

Answer:

-1

Step-by-step explanation:

Think of the slope as the number in front of x

Answer:

the slope is the value multiplied by x , so the slope is −1 . We know the y -intercept is b , or −7 , so it is at (0,−7) .

Step-by-step explanation:

In 1990, the average person in the United States consumed approximately 0.000532 lb (or 0.24 grams) of artificial sweeteners per year, based on USDA data.

In 1990, according to the USDA, each person in the United States consumed an average of 133 lb of artificial sweeteners per year.
To calculate the average consumption of artificial sweeteners per person, you can divide the total consumption by the population of the United States in 1990.
Let's assume that the population of the United States in 1990 was 250 million people.
To find the average consumption per person, you would divide the total consumption of 133 lb by the population of 250 million people:
133 lb / 250,000,000 people = 0.000532 lb/person
Therefore, in 1990, the average person in the United States consumed approximately 0.000532 lb (or 0.24 grams) of artificial sweeteners per year.

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Among all unbiased estimators which are weighted averages of Y₁, ..., Yₙ, the sample mean as an estimator of population mean is an estimator with lower sampling variances.

The sample mean is known to be an unbiased estimator of the population mean.

Which means that on average, it provides an estimate that is equal to the true population mean.

However, when considering estimators that are weighted averages of the observations.

The sample mean tends to have lower sampling variances compared to other unbiased estimators.

Lower sampling variance is desirable because it indicates less variability in the estimates obtained from different samples.

A lower sampling variance implies that the sample mean is likely to be closer to the population mean, providing a more precise estimate.

Therefore, among unbiased estimators that are weighted averages, sample mean stands out as having a lower sampling variance.

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The slope formula is m= y2-y1/x2-x1.

m= 4-0/2-5

m=4/-3

Therefore, 4/-3 is the slope.

Answer:

The first option, incase something happens to the president, they’re next in line.

Step-by-step explanation:

Answer:

Reindeer and snowflake are 4

tree is 8

snowman is 1

Step-by-step explanation:

An inverse relationship can not direct.

We know that an inverse proportion represents inverse or indirect relation between two quantities.

In inverse relationship, one value increases while the other value decreases, and vice versa.

But in case of direct relationship, if one quantity increases , the other quantity also increases, and  if one quantity decreases , the other quantity also decreases.

When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity  'n' decreases, and vice versa.

Also, an inverse relationship always has a negative slope.

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The positions of the keys in a hash table of size n = 7 has been determined and the collisions are resolved by linear probing.

To determine the positions of the keys in a hash table of size n=7 and insert them into the hash table while resolving collisions by linear probing, we need to first apply a hash function that maps the keys to a specific position in the table. Let's assume that we use the simple mod function as the hash function: h(key) = key % 7.
Using this hash function, the keys will be mapped to the following positions in the hash table:
- 34 -> h(34) = 6
- 78 -> h(78) = 1
- 93 -> h(93) = 2
- 5 -> h(5) = 5
- 74 -> h(74) = 4
- 81 -> h(81) = 4
We can see that two keys, 74 and 81, are mapped to the same position in the table (position 4). This is called a collision. To resolve collisions using linear probing, we simply look for the next available position in the table and insert the key there.
Starting from the position of the collision (position 4), we check the next positions in the table sequentially until we find an empty position. The keys will be inserted into the following positions:
- 34 -> position 6
- 78 -> position 1
- 93 -> position 2
- 5 -> position 5
- 74 -> position 4 (original position)
- 81 -> position 5 (next available position after collision)
Therefore, the final hash table with the keys inserted using linear probing will look like this:
0 | |
1 |78|
2 |93|
3 | |
4 |74|
5 |5|
6 |34|

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Answer:

No

Step-by-step explanation:

No, it is not because the 3 dollars is a steady price. A expression will look like 7n+3. Since the 3 dollars is a steady price you can never have a unit rate.

Answer:

It's proportional

Step-by-step explanation:

10-3=7  7/1 = 7

17 - 3= 14 1 4/2 = 7

31 - 3 = 28 28/4 = 7

38 -3 = 35 35/5 = 7

73 - 3 = 70 70/10 = 7

The most likely cause for the change in pH after bubbling CO2 through the solution is the formation of carbonic acid.

When CO2 is bubbled through an aqueous solution, it can react with water to form carbonic acid (H2CO3). This reaction occurs due to the dissolution of CO2 in water, which undergoes a chemical equilibrium process. Carbonic acid is a weak acid that can release hydrogen ions (H+) into the solution, thus lowering the pH. The presence of carbonic acid lowers the pH value compared to the original pH of the solvent.

This phenomenon is commonly observed when CO2 is dissolved in water, such as in carbonated beverages. The carbonic acid formed from the reaction with CO2 contributes to the acidic properties of the solution. Therefore, the most likely cause for the change in pH after bubbling CO2 through the solution is the formation of carbonic acid, leading to a decrease in pH.

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Answer:

Angle C is the opposite angle of AB

Side AB is opposite to angle ∠ACB in triangle ABC

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given rectangle, AC is the diagonal

ABC and ADC are two right triangles.

We have to find the angle which is opposite to the side AB.

The angle opposite to side AB is angle C.

In the option we have angle ∠ACB.

Hence, Side AB is opposite to angle ∠ACB in triangle ABC

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The given ratio of yes votes to no votes is 3:4

Then,

The ratio of yes votes: to no votes = 3:4  

Yes votes = 2721,

Now,

2721/3 = 907

907 × 4 = 3628.

Hence, there were 3628 no votes.

To calculate the ratio, use this formula:

Ratios equate two numbers, usually by dividing them. If you are comparing one data point (x) to any other data point (y), your formula would be x/y. This means you are dividing information x by information y.

For example, if A is 50 and B is 100, your ratio will be 50/100 the ratio will be 1:2.

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Answer:

Trapezoid

Step-by-step explanation:

The two-dimensional shapes could be the cross-section of a cube sliced by a plane in any direction is square and triangle. Option B is correct.

When a 2 dimensional plane figure at any angle is intersected, a solid object, a cross-section is formed. The shape of this cross-section is based on the type of plane, its angle of intersect and type of solid.

Now, when a cube sliced by a plane in any direction, the following cross section is formed-

Thus, the two-dimensional shapes could be the cross-section of a cube sliced by a plane in any direction is square and triangle. Option B is correct.

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This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

Answer:

look at the photo.............

Answer:

I think the answer is B. f(x) = -1/3x - 4

Step-by-step explanation:

Use the given functions to set up and simplify  

4−16.

XF(x)=X

Fx

1 − 7 = −6

2 − 10 = −8

3 − 13 = −10

4 − 16 = −12

Answer: 56 square meters

Step-by-step explanation:

Answer:

140 sports articles

Step-by-step explanation:

7 x 20 = 140

Volunteer/voluntary response bias, also known as self-selection bias, occurs when research participants exert control over the decision to engage in the study.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

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Answer:

im 100% sure that th ans is 2200

Step-by-step explanation:

261 is rounded to 300 and 757 is rounded to 800 and 1086 is rounded to 1100 all that added up is 2200

Answer:

The slope of f(x) is equal to the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

Step-by-step explanation:

F(x) is already given to you on the graph. You need to plot the x and g(x) graph. (remember g(x) is just a fancy way of saying y)

Once this line is plotted, you will see that f(x) and g(x) are parallel to one another. G(x) is below f(x), so its y-intercept is lower.

Answer:

x=-6

Step-by-step explanation:

Subtract 5 from 1 So: 2/3x=-4

Multiply 3/2 on both sides : x=-12/2

So x = -6

Answer:

\({x = -6}\)

Step-by-step explanation:

Note: * = times (x)

\(\huge {\frac{2}{3} x + 5 = 1}\\\)

\(\frac{2}{3}x + 5 = 1\\-5 \hspace9 \hspace9 -5\\\\\frac{2}{3}x = -4\\ * 3 \hspace9 *3\\\\2x = -12\)

Now that we've isolated the x, we want to simplify it. We do this so we can make x by itself as just x instead of 6x.

\(\frac{2x}{2} = \frac{-12}{2} \\\\\frac{2x}{2} = x\\\\\frac{-12}{2} = -6\\\\\huge\boxed {x = -6}\)

~\(InLoveWithPugs\)

\(\\{\texttt\\Moderator \hspace3\& \hspace3 Math\ Enthusiast\)

Answer: 45

Step-by-step explanation:

Answer: -8x+13

Step-by-step explanation:

f(x) = −2x + 7

g(x) = 4x - 3

(fog)(x)=

f(g(x))=

f(4x-3)=

-2(4x-3)+7=

-8x+6+7=-8x+13

Answer: C

Step-by-step explanation:

A negative times a negative equals a positive.

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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Answer:

Step-by-step explanation:

Igneous

Sedimentary

Metamorphic

Hope that helps!

Answer:

8x + 9

Step-by-step explanation:

Answer:

Step 4 is incorrect ⇒ C

Step-by-step explanation:

Let us check step by step

∵ sin(x + y)

∵ sin(z) = cos(\(\frac{\pi}{2}\) - z)

→ Replace z by (x + y)

∴ sin(x + y) = cos(\(\frac{\pi }{2}\) - [x + y])

∴ Step 2 is correct

∵ cos(\(\frac{\pi }{2}\) - [x + y]) = cos(\(\frac{\pi }{2}\) - x - y])

∵ take [\(\frac{\pi }{2}\) - x] as the 1st angle and y as the 2nd angle

∴ cos(\(\frac{\pi }{2}\) - x - y]) = cos([\(\frac{\pi }{2}\) - x] - y)

∴ Step 3 is correct

∵ cos(a - b) = cos(a)cos(b) + sin(a)sin(b)

→ Replace a by ([\(\frac{\pi }{2}\) - x] and b by y

∴ cos([\(\frac{\pi }{2}\) - x] - y) = cos(\(\frac{\pi }{2}\) - x)cos(y) + sin(\(\frac{\pi }{2}\) - x)sin(y)

∴ Step 4 is incorrect, the second angle is y not (-y)

∵ cos(\(\frac{\pi }{2}\) - x) = sin(x)

∵ sin(\(\frac{\pi }{2}\) - x) = cos(x)

∴ cos(\(\frac{\pi }{2}\) - x)cos(y) + sin(\(\frac{\pi }{2}\) - x)sin(y) = sin(x)cos(y) + cos(x)sin(y)

∴ Step 5 is correct

Answer:

C. Step 4

Step-by-step explanation:

got it right on edge :)

Answer:

3 is 15 degrees and 1 is 67 degrees