Find the radius of the circle. I need help​

The average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

To determine the average speed during the interval between 1 second and 2 seconds, we need to find the displacement of the object during that time interval and divide it by the duration.

Looking at the graph, we can observe that the object's position increases from approximately 0 meters at 1 second to approximately 8 meters at 2 seconds.

Therefore, the displacement is 8 meters - 0 meters = 8 meters.

The duration of the time interval is 2 seconds - 1 second = 1 second.

To calculate the average speed, we divide the displacement by the duration:

Average speed = Displacement / Duration = 8 meters / 1 second = 8 m/s.

Therefore, the average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

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Answer:

(10/3)π units

Step-by-step explanation:

120 degrees is equivalent to (2π)/3 radians.  Applying the arc length formula s = r Ф, we get:

s = arc length = (5 units)(2π)/3 = (10/3)π units

Answer:

I think it's C and E am not sure

The population 2 hours before that is 2691 if the population of a colony of bacteria increases by 4% of what the population was at the beginning of the hour.

A population is a distinct group of individuals that can be distinguished for the purposes of data collection and analysis by at least one feature. Populations are used in statistics and other branches of mathematics. Data is typically collected from a sample while learning about a large population.

Between sample size and population, the population will always be larger in number. The entire group of individuals under study is referred to as the population. 250 persons make up the population in the illustration, which is the same size as the high school under consideration.

We have P₀=2488

Rate of increase=R=4%

Time=2 hours

Bacteria count =P

P=P₀\((1+(R/100)^{T}\)

=2488×(1+(4/100))²

=2488×1.0816

=2691.0208≈2691

Therefore, the population 2 hours before that is 2691.

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Answer:

Step-by-step explanation:

The area is equal to the length mutiply to the width.

Answer:

90 m^2

Step-by-step explanation:

Lateral Area = perimeter of base * height

= (3m+8m+7m) * 5m

= 90 m^2

Like if this helped

Answer:

D

Step-by-step explanation:

If we use pemdas and simplify the whole equation by each step (parentheses, exponets, muliplation, addition, and subtraction) it will give us our answer I got D

Option D

Answer:

Step-by-step explanation:

The fourth image because when looking for liner equations if you draw a line through them and it only touches once its linear equation!

sorry if im wrong...  

The value of x in the triangle is 2.

An equilateral triangle has sides that each measure 4x - 5 centimetres. An isosceles triangle has two sides that each measure 2x - 4 centimetres and one side that measures 6x - 3 centimetres.

Therefore, an equilateral triangle has three sides equal to each other and an isosceles triangle have two sides equal to each other.

Hence, the perimeter of a triangle is the sum of the whole sides of the triangle.

Therefore, let's find x using the two triangles if they have the same perimeters

4x - 5 + 4x - 5 + 4x - 5 = 2x - 4 + 2x - 4 + 6x - 3

12x - 15 = 10x - 8 - 3

12x - 10x = -11 + 15

2x = 4

x = 4 / 2

x = 2

Therefore,

x = 2

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Answer:

x = 131

Step-by-step explanation:

the angle adjacent to x on line l corresponds to 49° and are congruent, then

49 and x are adjacent and sum to 180° , that is

x + 49 = 180 ( subtract 49 from both sides )

x = 131

Answer:

£280

Step-by-step explanation:

The surface area of the box is 2[(50)(50)+(50)(10)+(50)(10)]=7000\) square centimeters.

So, it costs \(7000(0.04)=280\) pounds.

Answer: i think you need them to ask questions

Step-by-step explanation: whenever you ask a question it shows your questions and how many you need, so you have to answer questions to get some.

Answer:

-5

Step-by-step explanation:

-5x+6 = 2(-3x + 1) + x - 16

-5x+6 = -6x + 2 + x - 16

-5x+6 = -5x -14

+6≠-14⇒x∈Ф

Answer:

x = -1

Step-by-step explanation:

The axis of symmetry is a line that divides the two sides of a parabola through the vertex.

Answer:

y=-2x+3

Step-by-step explanation:

Use the slope formula

\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

According to the table, x=1 and y=1. There is another point x=2 and y=-1.

We can say that \(x_{1}=1\) and \(y_{1} =1\). We can also say that \(x_{2}=2\) and \(y_{2}=-1\). Plugging this into the equation we get:

\(m=\frac{-1-1}{2-1}=-2\).

This means that the slope of your equation is -1/2

Point intercept form is y=mx+b

So plugging the slope in we have \(y=2x+b\)

We can plug in one of the values from the value table for x and y, but to keep things simple, I’m going to just use x=1, and y=1, the first values on the table. Plugging these into the equation we get:

\(1=-2(1)+b\\ 1=-2 +b\\b=1+2 \\b=3\)

So our equation is \(y=-2x+3\)

Answer:

7.70

Step-by-step explanation:

100%-> 38.50

20% ->7.70

Answer: SHE GOT 13 MONTHS YES SHE DO, 13 MONTHS LEFT IS ANSWER

Step-by-step explanation:

Answer:

mark brainliest plz mark brainliest plz

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Apparently x+1<5, so the arrow has to go backwards. It also means that x can be 4 or lower, but not 5, so we can add a shaded circle to represent that.

Hope this helps! If it did, please give brainliest! :)

Answer: 16

Step-by-step explanation:

      The geometric number between 7 and 28 is 16. Geometric numbers are the numbers you get by multiplying by a factor. If we multiply by 2 for this common geometric sequence, we get 16:

1 * 2 = 2, 2 * 2 = 4, 4 * 2 = 8, 8 * 2 = 16,16 * 2 = 32, etc.

         7 < 16 < 28

Answer:

49

Step-by-step explanation:

(3m + 58) + (8m + 155) = 180

11m + 213 =180

11m = -33

m = -3

PCM = 3m + 58 = -9 + 58 = 49

Answer:128391389708714902787902717138123712839113791380138477356798123102745374213809129830192382910830198913813091831923841209381036592387141283902171283041287841830214801274123092184091237040283921840912809184091830471938047019340912793018240812040148014819083017409180914727484911111111111111111111111111111111111122222222222222222222222222222222222222222222222222222223333333333333333333333333333333333333333333333333333333333344444444444444444444444444

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since each person forwards to email to 3 other people, the expression for the number of additional people who received it after rounds (including Elijah) is We can rewrite this as

The probability that the escape happens at 4 in a discrete Brownian walk with bounds [-3, 4] depends on the specific rules. Without further information, it is not possible to determine the exact probability.

A discrete Brownian walk is a mathematical model that describes a random process where a particle moves in discrete steps.

The bounds [-3, 4] indicate that the particle can move between -3 and 4 inclusively. The probability of escaping at 4 would depend on the rules governing the movement of the particle.

To calculate the probability, we would need to know the probabilities associated with each possible step, such as the probability of moving left or right at each point in the walk.

Additionally, we would need information on any constraints or conditions that determine when the escape occurs.

Without these specific details, it is not possible to determine the probability of escape happening at 4 in the given discrete Brownian walk with bounds [-3, 4].

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The percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is  28.87%.

Given that the carrying capacity is directly proportional to the area, we can write:

C1 ∝ A1 = πr₁²

Since the carrying capacity is directly proportional to the area, we have:

C2 ∝ A2 = πr₂²

To find the percentage increase in diameter, we need to find the ratio of the increased area to the initial area and then express it as a percentage. Let's calculate this ratio:

(A2 - A1) / A1 = (πr₂² - πr₁²) / (πr₁²) = (r₂² - r₁²) / r₁²

We can also express the ratio of the increased carrying capacity to the initial carrying capacity:

(C2 - C1) / C1 = (60 - 36) / 36 = 24 / 36 = 2 / 3

Since the area and the carrying capacity are directly proportional, the ratios should be equal:

(r₂² - r₁²) / r₁² = 2 / 3

Now, let's substitute r = D/2 in the equation:

((D₂/2)² - (D₁/2)²) / (D₁/2)² = 2 / 3

(D₂² - D₁²) / D₁² = 2 / 3

Cross-multiplying:

3(D₂² - D₁²) = 2D₁²

3D₂² - 3D₁² = 2D₁²

3D₂² = 5D₁²

Dividing by D₁²:

3(D₂² / D₁²) = 5

(D₂² / D₁²) = 5 / 3

Taking the square root of both sides:

D₂ / D₁ = √(5/3)

To find the percentage increase in diameter, we subtract 1 from the ratio and express it as a percentage:

Percentage increase = (D₂ / D₁ - 1) × 100

Percentage increase = (√(5/3) - 1) × 100

Percentage increase = 28.87%

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Answer:

48 and 32

Step-by-step explanation:

both numbers get rounded by 8 going up and down rounding it to 40

Answer: 7 miles

Step-by-step explanation:

First take 21 and divide it by 3

1/3rd of 21 miles is 7 miles.

Then add another 7 to get 14 miles. That is how far his mom drove him, 14 miles. So take 21 minus 14 and you get 7. Thus the answer is 7 miles left to walk to work.

Answer: 7/14

Step-by-step explanation:

A. The larger page number that was stuck together is 213.

B. There are 212 pages in the book.

Let's assume that the larger page number that was stuck together is represented by 'x'.

A. To find the larger page number that was stuck, we can set up an equation using the given information.

The average of the page number before the stuck pages and the page number after is 212.5. So, we can write the equation as:

(x - 1 + x)/2 = 212.5.

Simplifying the equation, we have: (2x - 1)/2 = 212.5.

Multiplying both sides by 2, we get: 2x - 1 = 425.

Adding 1 to both sides, we have: 2x = 426.

Dividing both sides by 2, we find: x = 213.

Therefore, the larger page number that was stuck together is 213.

B. To determine the total number of pages in the book, we can assume that the book has 'n' pages.

Since the stuck pages are in the middle, there are equal numbers of pages before and after the stuck pages.

The average of the page number before the stuck pages and the page number after is 212.5.

So, we can write the equation as: (n + 213)/2 = 212.5.

Multiplying both sides by 2, we get: n + 213 = 425.

Subtracting 213 from both sides, we have: n = 212.

Therefore, there are 212 pages in the book.

In summary, the larger page number that was stuck is 213, and there are 212 pages in the book.

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Therefore, the sum of the first 7 terms of the given geometric sequence is 127/128.

To find the sum of the first 7 terms of a geometric sequence, we need to determine the common ratio and the first term of the sequence.

Let's denote the first term of the sequence as 'a' and the common ratio as 'r'.

Given that the 4th term is 1/16 and the 7th term is 1/128, we can write the following equations:

a * r^3 = 1/16 (equation 1)

a * r^6 = 1/128 (equation 2)

Dividing equation 2 by equation 1, we get:

(r^6)/(r^3) = (1/128)/(1/16)

r^3 = 1/8

Taking the cube root of both sides, we find:

r = 1/2

Substituting the value of r back into equation 1, we can solve for 'a':

a * (1/2)^3 = 1/16

a * 1/8 = 1/16

a = 1/2

Now we have the first term 'a' as 1/2 and the common ratio 'r' as 1/2.

The sum of the first 7 terms of the geometric sequence can be calculated using the formula:

Sum = a * (1 - r^n) / (1 - r)

Substituting the values into the formula, we have:

Sum = (1/2) * (1 - (1/2)^7) / (1 - 1/2)

Simplifying the expression

Sum = (1/2) * (1 - 1/128) / (1/2)

Sum = (1/2) * (127/128) / (1/2)

Sum = (127/128)

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Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

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Using the unitary method we solved the problems and found the answers below:

1 ) Number of VIP members = 1009

2) Total fees per month from regular members = $72,875

3) Difference in amounts = $180

4) Number of total staff = 131

5) Total break time = 1.5 hours

What is the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value. This method allows us to calculate both the value of many units from the value of one unit and the value of a single unit from the value of many units.

Given,

Total number of members = 3924

Amount paid by a regular member per month = $25

Amount paid by a VIP member per year = $480

1) Given there are 2915 regular members.

Then, the number of VIP members = total members - regular members

                                           =  3924 - 2915 = 1009

2) Using the unitary method, we can find the total membership fee received from regular members in one month.

1 member = $25

2915 members = 25 * 2915 = $72,875

3) Amount paid by a regular member in one year = 25 * 12 = $300

The difference in the amount paid by VIP and regular member =  480-300 = $180

4) Using the unitary method,

 1 staff = 30 members

3924 members = 3924/30 = 130.8 = 131 staffs

5) In every 2 hours, the lifeguard gets 30 minutes break.

Then in 6 hours, the lifeguard gets = 30/2 * 6 = 90 minutes = 1.5 hours break

Therefore using the unitary method we solved the problems and found the answers below:

1 ) Number of VIP members = 1009

2) Total fees per month from regular members = $72,875

3) Difference in amounts = $180

4) Number of total staff = 131

5) Total break time = 1.5 hours

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