tyrell is working in a lab testing bacteria populations. after starting out with a population of 250 bacteria, he observes the change in population and notices that the population triples every 15 minutes. part a) find the equation for the population p in terms of time t in minutes. round values to three decimal places. part b) find the population after one hour. round to the nearest bacterium.

Answer:

well jus subtract

Step-by-step explanation\

think about it

Answer:

The total amount of students in the primary school is 1,980.

Step-by-step explanation:

130, 210, 290, ......

210 - 130 = 80

The difference between each grade is 80 students.

(g = grade)

g1 = 130, g2 = 210, g3 = 290, g4 = 370, g5 = 450, g6 = 530

130+210+290+370+450+530 = 1980

(i) The set of boundary points of S is {1}.

(ii) There are no interior points in S.

(iii) S is not an open set because it does not contain any interior points.

(iv) S is a closed set because it contains all of its boundary points.

Let's analyze the set S step by step:

(i) Boundary points of S:

A boundary point of a set is a point that is neither an interior point nor an exterior point. In this case, since S consists of the elements x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n approaches infinity, x approaches 1. So, the set of boundary points of S is {1}.

(ii) Interior points of S:

An interior point of a set is a point that has an open neighborhood contained entirely within the set.

In this case, since S is defined as x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n increases, x approaches 1.

However, for any n, we can always find another n' greater than n such that 1 - 1/n' is closer to 1.

Therefore, there are no interior points in S.

(iii) S as an open set:

An open set is a set that contains all of its interior points.

Since S has no interior points (as discussed in part ii), it cannot contain all of its interior points.

Therefore, S is not an open set.

(iv) S as a closed set:

A closed set is a set that contains all of its boundary points.

In this case, the set of boundary points of S is {1}, and this set is contained within S itself.

Therefore, S contains all of its boundary points and is considered a closed set.

In summary, the set S has a single boundary point {1}, no interior points, is not an open set, and is a closed set.

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Answer:

48

Step-by-step explanation:

10+5+18+15

pls mark brainliest

Answer:

x/8 -1

Step-by-step explanation:

If the lengths of all the sides of a polygon are tripled, but the angles remain the same, the area of the polygon will increase by a factor of 9. This is because the area of a polygon is directly proportional to the square of its side length. Therefore, tripling the side lengths will increase the area by a factor of 3^2, which is 9.

When the lengths of all the sides of a polygon are tripled while the angles remain the same, the new polygon will be similar to the original one but with larger sides. To determine what happens to the area of the polygon in this case, let's consider the following steps:

1. All the sides of the polygon are tripled. This means that each side's length is now 3 times its original length.

2. The angles of the polygon remain the same, so the overall shape is preserved.

3. To find the area of the new polygon, we can use the formula for the area of a similar polygon: (New area) = (scale factor)^2 * (Original area), where the scale factor is the ratio of the new side length to the original side length.

4. In this case, the scale factor is 3 (since the lengths of the sides are tripled). So, we have (New area) = (3)^2 * (Original area).

5. Therefore, the new area is 9 times the original area.

In conclusion, when the lengths of all the sides of a polygon are tripled and the angles remain the same, the area of the polygon increases by a factor of 9.

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Answer:

Her error was multiplying -3 and -4 which gives +12 but she wrote -12 instead

Step-by-step explanation:

Mariana workings:

-3(2x - 4) = -12

-6x - 12 = -12

Her error was multiplying -3 and -4 which gives +12 but she wrote -12 instead

-6x = 0

x=0

Correct workings:

-3(2x - 4) = -12

-6x + 12 = - 12

-6x = -12 - 12

-6x = -24

x = -24/-6

x = 4

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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Problem N 9

we have that

UW=UV+VW -----> by addition segment postulate

substitute given values

(2x-8)=(x-8)+(12)

solve for x

2x-8=x+4

2x-x=4+8

therefore

The answer is

Answer:

ya  poop in the coffee and then ya see how  many pounds there is find the the type urself

Step-by-step explanation:

To answer this question, we need to have into account the following:

1. In the context of interval notation, the word "or" can be represented by the symbol "U".

2. We need to rearrange the inequality -x > 6 in a way that we have positive x.

We can proceed as follows:

We can express the inequality in this way because it expresses all of the values greater than 2, and these values tend to the positive infinity. We have parenthesis here since the values are not equal to 2 (only greater than 2).

If we multiply both sides of the inequality by -1, we need to reverse the direction of the inequality as follows:

Now, we have all of the values less than -6, not equal, and because of this, we have to use parenthesis:

Therefore, we can say that:

Can be expressed in interval notation as:

In summary, the answer to this question is:

Answer:

21 gallons

Step-by-step explanation:

if this helps vote brainiest.

The percent change between the maximum population and the current population for this herd of caribou is -60%. This means that the current population is 60% lower than the maximum population due to habitat loss.

To determine the percent change between the maximum population and the current population for this herd of caribou, we need to use the formula for percent change, which is:
Percent Change = (New Value - Old Value) / Old Value x 100%

In this case, the old value is the maximum population size of 500,000, and the new value is the current population size of 198,000. So, we can plug these values into the formula:

Percent Change = (198,000 - 500,000) / 500,000 x 100%
When we simplify this equation, we get:
Percent Change = -302,000 / 500,000 x 100%

The negative sign indicates a decrease in population, which makes sense given that the current population is lower than the maximum population due to habitat loss. To find the actual percent change, we can divide -302,000 by 500,000 and then multiply by 100:

Percent Change = -0.604 x 100%
Rounding to the nearest whole number, we get:
Percent Change = -60%

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Answer:

aaalot I'm guessing I'm stu.pid

The type of sampling used in each case of the students to pay tuition fee for the fall semester is simple random sampling.

Simple random sampling is the method that was applied in this instance. Each person in the population has an equal probability of being chosen for the sample when using simple random sampling. In this instance, the amount of tuition each participant in the sample paid for the autumn semester was questioned.

The type of sampling in the next case is stratified sampling. After classifying the students into freshmen, sophomores, juniors, or seniors, 25 students from each group are chosen. The sample will be representative of each group thanks to this technique.

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Complete question is:

A study wants to determine the average tuition that san jose state undergraduate students would pay per semester. each student in the following samples is asked how much tuition he or she paid for the fall semester. what is the type of sampling in each case?

A sample of 100 undergraduate San Jose State students is taken by organizing the students’ names by classification (freshman, sophomore, junior, or senior), and then selecting 25 students from each.

Answer:

b hope it helps have a great day

Answer:

the first three graphs represent linear functions.

Step-by-step explanation:

The last graph is NOT a linear function because two of the x points are the same number, but end up with different y points (The two 1's have different y-points)

furthermore, the first three graphs all create linear graphs.

hope this helps

When using a frequency distribution to identify the interval containing the median, the most useful column is the cumulative frequencies (option d).

The cumulative frequencies provide the running total of the frequencies as you move through the intervals. The median is the middle value of a dataset, and it divides the data into two equal halves. By examining the cumulative frequencies, you can determine the interval that contains the median value.

The cumulative frequencies allow you to track the progression of frequencies as you move through the intervals. When the cumulative frequency exceeds half of the total number of observations (n/2), you have found the interval containing the median.

The cumulative frequencies help you identify this interval by showing you the point at which the cumulative frequency crosses or exceeds the halfway mark. By examining the interval associated with that cumulative frequency, you can determine the interval containing the median value.

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The value of the test statistic is approximately 2.54.

To find the value of the test statistic, we can use the formula for calculating the test statistic for a single-sample hypothesis test for the population mean. The formula is:

t = (\(\bar x\) - μ) / (s / √n)

Where:

\(\bar x\) is the sample mean,

μ is the population mean,

s is the sample standard deviation,

n is the sample size.

Given information:

Sample mean (\(\bar x\)) = 5.8 ppm

Population mean (μ) = 5.5 ppm

Sample variance (σ^2) = 0.36 ppm^2

Sample size (n) = 26

To calculate the sample standard deviation (s), we take the square root of the sample variance:

s = √(σ^2)

s = √(0.36)

s = 0.6

Now we can calculate the test statistic (t):

t = (5.8 - 5.5) / (0.6 / √26)

t = 0.3 / (0.6 / √26)

t = 0.3 / (0.6 / 5.099)

t = 0.3 / 0.118

t ≈ 2.54 (rounded to two decimal places)

Therefore, the value of the test statistic is approximately 2.54.

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Answer:

4pi/15=θ  - i think

Step-by-step explanation:

S = r*θ

r=9

s=12pi/5

12pi/5=9*θ

12pi/45=θ

4pi/15=θ

Answer:

2x6x6+7+j

34+67897790+b,xyy

Answer:

12 or 24 apples.

Step-by-step explanation:

If you can divide the apples evenly among 4 children, then you can automatically divide them among 2 children (since 4 is a multiple of 2). Therefore, the possible number of apples that the box could contain are given by:

\(n_1 = 3*4 = 12\ apples\\n_2 = 3*4*2 = 24\ apples\)

The box could contain 12 or 24 apples.

Answer:

12 or 24 because they are divisable by 2 3 and 4

Step-by-step explanation:

Answer:

6=2 , 12=4, 15=5, 24=8

Step-by-step explanation:

The equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

Here is the explanation -

To calculate the equivalent units for the Compounding Department in August 2019 using the weighted average method, we need to consider the units that were started and completed, as well as the ending work-in-process.

Step 1: Calculate the equivalent units for units started and completed:
- 36,000 pounds were started.
- 34,000 pounds were transferred out.
Equivalent units for units started and completed = 34,000 pounds.

Step 2: Calculate the equivalent units for ending work-in-process:
- Ending work-in-process was 70% processed.
- Beginning work-in-process was 2,000 pounds (60% processed).
Equivalent units for ending work-in-process = (70% x Ending work-in-process) + (60% x Beginning work-in-process)
Equivalent units for ending work-in-process = (70% x 2,000 pounds) + (60% x 36,000 pounds)
Equivalent units for ending work-in-process = 1,400 pounds + 21,600 pounds
Equivalent units for ending work-in-process = 23,000 pounds.

Step 3: Calculate the total equivalent units:
Total equivalent units = Equivalent units for units started and completed + Equivalent units for ending work-in-process
Total equivalent units = 34,000 pounds + 23,000 pounds
Total equivalent units = 57,000 pounds.

Therefore, the equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

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Answer:

Step-by-step explanation:

As given

a = -4, b = -5 and c = 1

also  2b - 3ac

Now putt the values in above we get

2b - 3ac

=2*(-5)-3*(-4)*(1)

= -20+12

=-8  Ans....

Answer:

its A

Step-by-step explanation:

The probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that:

Weight/Calories   1000-1500   1500-2000 2000-2500    Total

per Day              

120 lb.                        90            80      10        180

145 lb.                        35            143       25        203

165 lb.                        15             27         75         117

Total                       140            250        110       500

Hence, Total no. of person consumes 2000 to 2,500 calories in a day = 110

And, Total = 500

Now the probability that a person consumes 2,000 to 2,500 calories in a day :

⇒ 110 / 500

⇒ 0.22

Hence  the probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.

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Answer:

10.3 meters.

Step-by-step explanation:

From Triangle ABC

\(\tan 29^\circ =\dfrac{6.3+x}{h} \\h \tan 29^\circ=6.3+x\\h=\dfrac{6.3+x}{\tan 29^\circ}\)

From Triangle ADC

\(\tan 19^\circ =\dfrac{x}{h} \\h \tan 19^\circ=x\\h=\dfrac{x}{\tan 19^\circ}\)

Since the values of h are the same

\(\dfrac{x}{\tan 19^\circ}=\dfrac{6.3+x}{\tan 29^\circ}\\\\x\tan 29^\circ=\tan 19^\circ(6.3+x)\\x\tan 29^\circ=6.3\tan 19^\circ+x\tan 19^\circ\\x\tan 29^\circ-x\tan 19^\circ=6.3\tan 19^\circ\\x(\tan 29^\circ-\tan 19^\circ)=6.3\tan 19^\circ\\x=\dfrac{6.3\tan 19^\circ}{\tan 29^\circ-\tan 19^\circ} \\x=10.3$ meters (to the nearest tenth of a meter)\)

The height of the first balcony above stage level is 10.3 meters.

Ratio tables : A table that can be used to find and organize Equivalent ratios.

Equivalent Ratios : Ratios that describe the same relationship.

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.

When expressed in their most basic form, equivalent ratios—also referred to as equivalent fractions—have the same proportion to one another. Let's use the following ratios as an example right away. We are aware that the ratio of the numerators to the denominators in each of these fractions is the same.

Equivalent ratios have the same value. Write two ratios as fractions and compare them to see if they are equal. The ratios are comparable if the fractions are equal.

A table that can be used to find and organize equivalent ratios.

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Answer:

1 solution

Step-by-step explanation:

To find this out you can just solve the equation so if you simplify you get

2+6x-24=3x

-3x=-22

x=22/3

so one solution

The equation with infinitely many solutions is:

9x + 80 - 1x = 8*(x + 10)

An equation has infinitely many solutions when the dependence on x vanishes.

If you look at the third equation, we get:

9x + 80 - 1x = 8*(x + 10)

If we simplify the left side and expand the right side, we get:

8x + 80 = 8x + 80

So we have the exact same thing in both sides, this means that the equation is true for any value of x, so the equation has infinite solutions.

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