What is the equation of the following line? Be sure to scroll down first to see all answer options.

By using the concept of growth, it can be calculated that

There are 7023550 bacteria after 19 hours

What is growth?

Growth is the process in which a value of an object or asset increases at a certain rate over a certain period of time.

Here, concept of growth is used

A culture of bacteria has an initial population of 9700 bacteria and double every 2 hour

So,

\(P_0 =\) 9700

d = 2 hours

t = 19 hours

\(P_t = 9700 \times 2^{\frac{19}{2}}\)

\(P_t = 7023550\)

There are 7023550 bacteria after 19 hours

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Answer: the answer is she need 13$

Step-by-step explanation: equation > 40 - 27 = 13

brainliest please?

MAIN ANSWER :the total degree of freedom is (n-1)

120-1=119

SUPPORTING ANSWER:

Degrees of freedom refer to the maximum number of logically independent values in a data sample, which are values with the freedom to vary. If there is an outstanding requirement of the data sample, specific data sample items must be chosen once the degrees of freedom quantity has been selected.

BODY OF THE ANSWER

given that total no of patients are n=120

different types of treatement are 4

the total degree of freedom is (n-1)

120-1=119

final answer :therefore final answer is 119.

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The total degree of freedom is (n-1) that is 120-1=119

What is degree of freedom?

Degrees of freedom refer to the maximum number of logically independent values in a data sample, which are values with the freedom to vary. If there is an outstanding requirement of the data sample, specific data sample items must be chosen once the degrees of freedom quantity has been selected.

What is random sample?

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.

Given that total no of patients are n=120

Different types of treatment are 4

The total degree of freedom is (n-1)

120-1=119

Therefore final answer is 119.

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The probability of obtaining at least one tail on the tosses of a penny, nickel, dime, and quarter can be found using the complement rule.

The probability of getting all heads on the tosses is (1/2)^4 = 1/16. Therefore, the probability of getting at least one tail is 1 - 1/16 = 15/16. This means that there is a 93.75% chance of obtaining at least one tail on the tosses. It is important to note that this assumes that the coins are fair and have an equal chance of landing heads or tails on each toss.

The probability of obtaining at least one tail when tossing a penny, nickel, dime, and quarter can be calculated using complementary probability. Since each coin has 2 outcomes (heads or tails), there are 2^4=16 possible outcomes in total. The only scenario without a tail is if all coins show heads, which has a 1/16 probability. To find the probability of at least one tail, subtract the probability of all heads from 1: 1 - 1/16 = 15/16. Therefore, the probability of obtaining at least one tail on the tosses is 15/16 or approximately 93.75%.

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The angle between the ladder and the ground is - 0.075 rad/s.

Pythagoras' theorem is a essential relation in Euclidean geometry among the 3 facets of a proper triangle. It states that the region of the rectangular whose aspect is the hypotenuse (the aspect contrary the proper angle) is identical to the sum of the regions of the squares on the alternative  facets.

cosθ = x/10

On differentiating the above equation,

- sinθdθ/dt = (1/10)dx/dt

dθ/dt = -(1/10)dx/dt/sinθ

sinθ = y/10

= √(100 - 36)/10

= 0.8; dθ/dt

= -(1/10)·0.6 ft/s/0.8

= - 0.075 rad/s

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To find the volume of a solid obtained by rotating a region around the x-axis, you can use the disk or washer method. Divide the region into small disks or washers and find the volume of each by integrating over the interval.

Let's look at the part of the region between x=0 and x=1. To rotate this part around the y-axis, we'll need to find the radius of each shell. The radius of each shell is just the distance from the y-axis to the point on the curve, so it's equal to x. The height of each shell is just the height of the region, which is given by y. So the volume of this part of the region is: V1 = ∫[0,1] 2πxy dx. The part of the region between x=1 and x=4. To find the radius of each shell, we'll need to use the equation of the circle x^2 + y^2 = 4. Solving for y, we get y = √(4-x^2). So the radius of each shell is equal to √(4-x^2). The height of each shell is still just y. So the volume of this part of the region is: V2 = ∫[1,4] 2πy√(4-x^2) dx

The part of the region between x=4 and x=5. To find the radius of each shell, we'll need to use the equation of the line y=x-4. So the radius of each shell is equal to x-4. The height of each shell is still just y. So the volume of this part of the region is: V3 = ∫[4,5] 2πy(x-4) dx. Adding up these three volumes, we get the total volume: V = V1 + V2 + V3

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Answer:

-3 Or 3 it could be any one of them

Step-by-step explanation:

-3 or 3

Rise/run so an

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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The measure of one of its angle is 150°

A Polygon is a two-dimensional closed figure made up of line segments (not curves). Polygon is a combination of two words, poly (which means many) and gon (which means shape) (means sides). To create a closed figure, at least three line segments must be connected end to end.

Given that

12 sided regular polygon

We can use the following formula to calculate the total number of degrees in any shape:

(n−2)⋅180

[Where n = number of sides]

(12−2)⋅180

(10)⋅180

=1800

So a 12-sided polygon has 1800 degrees. To calculate the measure of one angle, divide the total number of degrees (1800) by the number of sides, n.

(1800/12) = 150°

Therefore the measure of one of its angle is 150°

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Answer:

Step-by-step explanation:

1           1/8

16          2

20         2.5

24          3

The value next to one indicates the conversion between a quarter and a toonie. 1 quarter is worth to 1/8 of a toonie

The numerical value of 1.2 × 1.222 is approximately 1.4664.

To calculate the numerical value of 1.2 × 1.222, we multiply the two numbers together. Let's break it down step by step:

Start with the multiplication operation: 1.2 × 1.222.

Multiply the decimal numbers without considering the decimal point. We have 12 × 1222.

Perform the multiplication of the whole numbers: 12 × 1222 = 14,664.

Count the total number of decimal places in both factors. In this case, we have one decimal place in 1.2 and three decimal places in 1.222.

Add the total number of decimal places from both factors. 1 + 3 = 4.

Place the decimal point in the product by counting four places from the right of the final result obtained in step 3.

The final result is 14,664, with the decimal point placed four places from the right, giving us 1.4664. Therefore, the numerical value of 1.2 × 1.222 is approximately 1.4664.

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Answer:

cone: 157.08

cylinder: 502.65

sphere: 113.1

Step-by-step explanation:

Answer:

ummmm what did he sayyyyyyyyy

Step-by-step explanation:

Answer:

11.17 ft

Step-by-step explanation:

Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.

Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by

L = Δθ/360 × 2πr where  Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ =  -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.

Substituting r and  Δθ into L, we have

L = -80°/360° × 2π(8 ft)

= -8/36 × 16π ft

=  -32π/9 ft

= -100.53/9 ft

= -11.17 ft

Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft

Answer:

y=-6x-7

(You write the equation in slope-intercept for (y=mx+b).

Then you go from there, subtracting when needed.)

Answer:

y= -1/6x -7

Step-by-step explanation:

18x+3y=-21

first find y intercept

18(0)+3y=-21

/3               /3

y intercept is -7.

next find slope

18x+3y=-21

-3y          -3y

18x=-3y-21

slope is -1/6

so the answer is y=-1/6x-7

Answer:

8 inches

Step-by-step explanation:

The area of a circle is:

A = π\(r^{2}\)

We know the area is 16π

16π = π\(r^{2}\)

16 = \(r^{2}\)

Taking the square root of both sides.

4 = r

The diameter is 2 times the radius.

D = 2r.

D = 2(4) = 8 inches

Answer:

pi r *2 = 16 pi

r*2=16

r= squre root of 16 = 4

diameter = 2r = 8 units

There are 1287 ways of arranging 8 blue marbles and 12 red marbles without placing 2 blue marbles next to each other.

What is a combination?

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

Here, we

Consider lining up all the blue marbles and placing one red marble in between them. Let that arrangement be fixed. The remaining red marbles will be 5 red marbles. Note that the arrangement will be:

x BR x BR x BR x BR x BR x BR x BR x B x

Note that this is the same even if our arrangement is

x B x RB x  RB x RB x RB x RB x RB x RB x

There is a total of 13 places to arrange 8 blue marbles among 12 red marbles.

8 marbles can be placed in ¹³C₈ ways

Total possible arrangements = ¹³C₈ = 1287

Hence, there are 1287 ways of arranging 8 blue marbles and 12 red marbles without placing 2 blue marbles next to each other.

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The polar form of the equation \(\(x^2 - y^2 = 2y\)\) is given by \(\(r = -\cos(2\theta) \cdot 2\cos(\theta)\).\)

To explain the steps in deriving the polar form, we start by expressing the given equation in terms of \(\(r\) and \(\theta\).\) We can rewrite \(\(x\) and \(y\)\) in polar coordinates as \(\(x = r\cos(\theta)\) and \(y = r\sin(\theta)\).\) Substituting these into the equation, we get \(\((r\cos(\theta))^2 - (r\sin(\theta))^2 = 2(r\sin(\theta))\).\)

Simplifying further, we have \(\(r^2\cos^2(\theta) - r^2\sin^2(\theta) = 2r\sin(\theta)\).\)

Using the trigonometric identity \(\(\cos^2(\theta) - \sin^2(\theta) = \cos(2\theta)\),\) we can rewrite the equation as \(\(r^2\cos(2\theta) = 2r\sin(\theta)\).\)

Dividing both sides by \(\(2\),\) we obtain \(\(r\cos(2\theta) = r\sin(\theta)\).\)

Finally, we divide both sides by \(\(r\)\) to get the polar form \(\(r = -\cos(2\theta) \cdot 2\cos(\theta)\).\)

Therefore, the correct answer is \(\(r = -\cos(2\theta) \cdot 2\cos(\theta)\).\)

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Using the together rate, it is found that if Mrs Adams camps alone, she will use all the water in 24 hours.

The together rate is the sum of each separate rate.

In this problem, the rates are:

Hence:

\(\frac{1}{12} + \frac{1}{x} = \frac{1}{8}\)

\(\frac{x + 12}{12x} = \frac{1}{8}\)

\(12x = 8x + 96\)

\(4x = 96\)

\(x = \frac{96}{4}\)

\(x = 24\)

If Mrs Adams camps alone, she will use all the water in 24 hours.

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Answer:

50 miles per hours

Step-by-step explanation:

400 miles per 8 hours is the same as

200 miles for 4 hours which is the same as

100 miles for 2 hours which is still the same as

50 miles per hour

I just divided each one by two until I reached the unit rate

Answer: It would be 50 MPH

Step-by-step explanation:

400/4=100 miles

8/4=2 hours

so now you divide by two

100/2=50 miles

2/2=1 hour

or you could go directly to dividing by 8

400/8=50 miles

8/8=1 hour

Note that the Absolute Values of the above numbers will be:

5,4,3,2,1,0,1,2,3,4,5. Since positive values cannot be represented on the Negative spectrum of the Coordinate system, we are left with 0,1,2,3,4,5 which means is represented by 0 ≤ x ≤ 5. See the attached Number Line.

A number line is a graphical representation of numbers on a line, where each point corresponds to a unique real number. It is important for understanding numerical concepts and operations visually.

The absolute value of a number is the distance of the number from zero, regardless of its sign. It is represented as a positive number and is important for understanding the magnitude of a quantity or a distance between two points on a number line.

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Answer:

b=92/3x

Step-by-step explanation:

Divide everything by 3x and simplify.

Answer:

lol :(

Step-by-step explanation:

(hope this helps can i plz have brainlist :D hehe)

Answer:

3120

Step-by-step explanation:

5% of 2600 is 130, keep that in mind

15% of 2600 is 390, also keep that in mind

If you add 130+390, that equals 520, 520+2600 is 3120, your welcome

~Akmp10

Mrs. Irfan needs to buy 10,000 tiles to cover the floor of her balcony.

To determine the number of tiles Mrs. Irfan needs to cover her balcony, we need to first calculate the area of each tile. The area of each tile can be determined by multiplying its length and breadth:

Area of each tile = Length × Breadth = 20 cm × 10 cm = 200 cm²

Next, we need to calculate the total area of the balcony, which is given as 200 cm². However, we need to convert this to square centimeters since we have determined the area of each tile in square centimeters. We can do this by multiplying 200 cm² by 10,000 (1 square meter is equal to 10,000 square centimeters):

Total area of balcony in square centimeters = 200 cm² × 10,000 = 2,000,000 cm²

To determine the number of tiles Mrs. Irfan needs, we can divide the total area of the balcony by the area of each tile:

Number of tiles needed = Total area of balcony ÷ Area of each tile

= 2,000,000 cm² ÷ 200 cm²

= 10,000 tiles

Complete question:

Mrs. Irfan wants to use tiles of a length of 20 cm and a breadth of 10 cm to cover the floor of her balcony. The area of the balcony is 200 cm^2. how many tiles does she need to buy(1sq m = 10,000 Sq cm)?​

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The length of PR in the triangle is 229 feet.

To indirectly measure the distance across a river, Savannah stands on one side of the river and uses sight lines to a landmark on the opposite bank. Savannah draws  the diagram below to show the lengths and angles that she measured. Let's find PR, the distance across the river.

Triangle PRE is similar to triangle POC. Therefore, similar triangles are the triangles that have corresponding sides in ratio to each other and corresponding angles congruent to each other.

Hence,

PR = x

165 / 255 = x / x + 125

cross multiply

165(x + 125) = 255x

165x + 20625 = 255x

165x - 255x = - 20625

-90x = - 20625

divide both sides of the equation by -90

x = - 20625 / - 90

x = 229.166666667

Therefore,

PR = 229 ft

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Answer:

r = 3 ft

Step-by-step explanation:

A = πr²

9π = πr²

9π/π = r²

9 = r²

√9 = r

3 = r

Hope this helps!

Let's see

#a

Take 28

#2

Take 9,10

Answer:

Two-digit number greater than 25:   32

Rewrite 32 as the difference of 2 numbers: 40 - 8

Therefore, x = 40  and  y = 8

\(\begin{aligned}\implies (40-8)^2 & =40^2-2(40)(8)+8^2\\ & = (4 \cdot 10)^2-(80)(8)+64\\ & = 4^2 \cdot 10^2-640+64\\ & = 16 \cdot 100-640+64\\ & = 1600-640+64\\ & = 960+64\\ & = 1024\end{aligned}\)

Let a = 10

Let b = 11

\(\begin{aligned}\implies 10^3+11^3 & =(10+11)(10^2-10 \cdot 11+11^2)\\& = 21(100-110+121)\\ & = 21(-10+121)\\ & = 21(111)\\& = 21 (100 + 10 + 1)\\ & = (21 \cdot 100)+(21 \cdot 10)+(21 \cdot 1)\\ & = 2100 +210+21\\ & = 2310 + 21\\ & = 2331\end{aligned}\)

Answer:

Please refer to the image

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need to add up 4 angles to get 360.

Here is what you fill out for the missing boxes: