A semi-commercial test plant produced the following daily outputs in tonnes/ day: 1.3 2.5 1.8 1.4 3.2 1.9 1.3 2.8 1.1 1.7 1.4 3.0 1.6 1.2 2.3 2.9 1.1 1.7 2.0 1.4 a) Prepare a stem-and leaf display for these data. b) Prepare a box plot for these data.

The 50th term is 290.

It is a sequence where there is a common difference between each consecutive term.

Example:

12, 14, 16, 18, 20 is an arithmetic sequence.

We have,

-4, 2, 8, 14,

This is an arithmetic sequence.

First term = a = - 4

Common difference.

d = 2 - (-4) = 6

d = 8 - 2 = 6

Now,

The nth term = a + (n -1)d

So,

n = 50

a = -4

d = 6

50th term.

= -4 + (50 - 1) 6

= - 4 + 49 x 6

= - 4 + 294

= 290

Thus,

The 50th term is 290.

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The complete question:

What is the 50th term of the sequence that begins −4, 2, 8, 14, ...?

The actual area of the logo 1 is 24ft²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The actual sides of the logo 1 will be;

base = 1/2 in

= 1/2 × 8 = 4ft

small base = 1/4 × 8 = 2ft

The logo can be sub divided into two equal trapezoid.

area of trapezoid = 1/2 (a+b)h

= 1/2( 4+8) 2

= 12 ft²

area of the logo = 2 × 12 = 24ft²

Therefore the area of the logo is 24ft²

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Answer:

190.06

Step-by-step explanation:

8.5 x 22.36

Answer:

We don't know

Step-by-step explanation:

enWe know that the baker makes 35 BLUEBERRY muffins BUT we do not know how many OTHER muffins he makes. If he just has blueberry, then he would be making 35.

Hope this helps! Have a great day :)

Step-by-step explanation:

Solution is given in the atttachment

hope it's helpful

Answer: 4.1

Step-by-step explanation:

P(0 received correctly) = P(0 sent) × P(0 received correctly | 0 sent)= \((2/3) × 0.8= 0.5333\) (rounded to 1 decimal place)Thus, the probability that a 0 is received is 0.5333 (rounded to 1 decimal place).

0.5333

A space probe near Neptune communicates with Earth using bit strings. Suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. When a 0 is sent, the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 1) is 0.2. When a 1 is sent the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 0) is 0.2.The probability that a 0 is received correctly is given in the problem as 0.8, and the probability that a 0 is sent is 2/3. Therefore, the probability that a 0 is received correctly

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Thus, the value of the unknown number for the given word problem is found as :x = 6.5.

A word problem is an exercise in mathematics that takes the form of such a hypothetical query and requires the solution of equations and mathematical analysis.

Using the "GRASS" method to solve word problems is a solid strategy. Given, Required, Analytic, Solution, and Statement is also known as GRASS. A word issue can be simplified using GRASS, making it simpler to solve.

Given word problems:

Twice the difference of a number and 4 is 5

Let the unknown number be 'x'.

Now,

The difference of the number and 4 : x - 4

Twice the result : 2(x - 4)

The outcome equals the  5.

2(x - 4) = 5  (Requires equation)

Solve the expression to find the number:

2(x - 4) = 5

2x - 8 = 5

2x = 5 + 8

2x = 13

x = 13/2

x = 6.5

Thus, the value of the unknown number for the given word problem is found as :x = 6.5.

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complete question:

Twice the difference of a number and 4  is 5. Find the unknown number.

When a chemical is discharged from a stack, the plume width generally increases with distance downwind from the stack location.

This is due to the dispersion of the chemical in the atmosphere.
1. Emission: The chemical is released from the stack into the atmosphere.

The height of the stack and the initial velocity of the emission influence the initial dispersion of the plume.
2. Atmospheric dispersion: The plume starts to disperse in the atmosphere due to factors such as wind, turbulence, and atmospheric stability.

Wind carries the plume downwind, while turbulence and atmospheric stability influence the vertical and horizontal spread of the plume.
3. Plume width increase: As the plume moves downwind, it continues to disperse horizontally, leading to an increase in plume width.

This occurs irrespective of the atmosphere class stability, as other factors like wind and turbulence also play a significant role in the dispersion process.
4. Concentration decrease: As the plume width increases, the concentration of the chemical within the plume generally decreases.

This is because the chemical is spreading out over a larger area.
In summary, the plume width of a chemical discharged from a stack increases with distance downwind from the stack location, due to factors such as wind, turbulence, and atmospheric dispersion.

This increase in plume width occurs irrespective of the atmosphere class stability.

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Answer:

HJ = LK

HI=MK

JI=ML

ML=6 units

Hope this helps!

Answer:

y = 2.5x + 22

Step-by-step explanation:

the two points are (4,32) and (8,42)

The slope would be

\(\frac{42 - 32}{8-4}\) = \(\frac{10}{4}\) = \(\frac{5}{2}\) = 2.5

This is the slope.  She saves $2.50 per week.

the y-intercept is how much money she started with

Use one point.  I will us (4,32) and the slope (2.5)

y = 32

m = 2.5

x = 4

y = mx + b

32 = 2.5(4) + b

32 = 10 + b   Subtract 10 from both sides

22 = b

This is the y-intercept.  This is how much money she had in the beginning.

y =mx + b

y = 2.5x + 22

the area of one petal of the region bounded by the circle with center at the origin and radius r = cos(4) is approximately 3.75π square units.  

To find the area of one petal of the region bounded by the circle with center at the origin and radius r = cos(4), we can use the formula for the area of a circular sector:

Area = (1/2)π\(r^2\) * (θ/360)

where θ is the angle between the positive x-axis and the sector's line of symmetry. The sector's line of symmetry is the line perpendicular to the positive x-axis that passes through the center of the circle.

In this case, θ = 45 degrees, which is half of the full angle of 90 degrees. Therefore, we can simplify the formula to:

Area = (1/2)π\(r^2\) * 45/360

Substituting r = cos(4), we get:

Area = (1/2)π(cos(4))\(^2\) * (45/360)

= (1/2)π(1 - sin\(^2(4))\) * (45/360)

= (1/2)π(1 - 1/2) * (45/360)

= (1/4)π * 45/360

= (1/4)π * 1.5

= 3.75π square units

Therefore, the area of one petal of the region bounded by the circle with center at the origin and radius r = cos(4) is approximately 3.75π square units.  

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Full Question ;

Find the area of one petal of the polar curve r=cos(4θ).

The type of items on the list, and the amount of time between list presentation and recall.

The shape of the function relating the probability of an item's recall to the item's position on a list is typically described as the serial position curve. The curve is generally U-shaped, with a higher probability of recall for items at the beginning and end of the list and a lower probability of recall for items in the middle of the list. This pattern is known as the primacy and recency effect, respectively.

The primacy effect refers to the higher probability of recall for items at the beginning of the list, which is thought to be due to the greater opportunity for rehearsal and encoding of these items into long-term memory. The recency effect refers to the higher probability of recall for items at the end of the list, which is thought to be due to the items still being held in short-term memory and easily retrieved.

Overall, the shape of the function can be affected by various factors such as the length of the list, the type of items on the list, and the amount of time between list presentation and recall.

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Answer: i give up typing essays ill just give it to you straight azure clicks per second is 8.5 or 17/2

bronze click per second is 9.5 38/4

crimsons time is 2.28 i guessed the closest and used a calulator good thing i learned this recently

clicks for desert is 34.9 or 35 not too clear but 34.9 is closer but you can choose i got this from guesing the division and i got 35/4.2 and 34.9/4.2

emeralds time is 0.40 3/.40 or 3/0.40

clicks for the last one or fuscia is 6 6/0.70 is well 8 gawd dammit you made me rite anotha essay

For the given function H(t) = -12cos( πt/45 ) + 18 the maximum height is  30 units.

Function to modeled the height 'H' of the Ferries wheel is given by:

H(t) = -12cos( πt/45 ) + 18

Where 't' represents the time in seconds.

For cosine trigonometric function,

-1 ≤ cosα ≤ 1

Here cos function lies between two values -1 and 1.

Substitute cos( πt/45 ) = 1 or -1

When cos( πt/45 ) = 1

H(t) = -12(1) + 18

⇒H(t) = 6 units

When cos( πt/45 ) = -1

H(t) = -12(-1) + 18

⇒H(t) = 30 units

Maximum height of a required cabin is equals to 30 units.

Therefore, the maximum height of given cabin represented by the function

H(t) = -12cos( πt/45 ) + 18 is equal to 30 units.

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If the triangles are similar, the option that must be true is option B. StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction

When the sides and angles of two or more shapes or figures correspond accordingly, they are considered alike or said to be similar.

The triangle RXY  is enclosed by the triangle RST as seen in the provided illustration. Due to the similarity of the two triangles, it is possible to compare the lengths of their sides using necessary ratios.

Hence: RY/RS = RX/RT = XY/TS

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Answer:

11 inches is your answer sorry if i am wrong i hope this helps

Step-by-step explanation:

answer is D have a great day :)

Answer:

10/(1+√11),  1+√11 and 10/(1-√11) and  1-√11

Step-by-step explanation:

Let x be the first number and y the second number

two numbers that multiplied together give me 10

x*y = 10

and the difference of the two numbers is -2?

x-y = -2

we can write x in terms of y so we only have one variable y

x-y =-2 , add y to both sides

x-y+y = y -2, combine like terms

x= y-2

x*y = 10, substitute x=y-2

(y-2)y = 10, distribute in parenthesis

y² -2y-10 = 0, subtract 10 from both sides

We can use the quadratic formula to solve y² -2y-10 = 0

y = (-b±√b²-4ac)/2a, where a= 1, b= -2, c= -10

y = (2±√4+4*1*10)/2

y = (2±√44)/2

y= (2±2√11)/2

y= 1±√11

x*y = 10, divide both sides by y

x= 10/y

x= 10/(1±√11)

Check :

x*y = 10

[10/(1±√11)] * (1±√11) = 10

⇒[10/(1+√11)] * (1+√11) = 10✅

⇒[10/(1-√11)] * (1-√11) = 10✅

⇒[10/(1+√11)] * (1-√11) = 10❌

⇒[10/(1-√11)] * (1+√11) = 10❌

x-y = -2

⇒

[10/(1+√11) ] -(1+√11) =

[10 -(1+√11 )(1+√11 )]/ (1+√11 ) =

[10 - (1+11+2√11)]/ (1+√11) =

(10-12 -2√11) / (1+√11) =

(-2 -2√11) / (1+√11) =

-2(1+√11)/ (1+√11) =

-2 ✅

⇒

[10/(1-√11) ] -(1-√11) =

[10 -(1-√11 )(1-√11 )]/ (1-√11 ) =

[10 - (1+11-2√11)]/ (1-√11) =

(10-12 +2√11) / (1-√11) =

(-2 +2√11) / (1-√11) =

-2(1 -√11)/ (1-√11) =

-2 ✅

As per the given equation, the length of the arc of the curve from point p to point q is 1.8973

Here we have given the equation y = 1/2 x².

Then the the length of the arc of the curve from point p to point q is calculated by using the formula,

=> \(\int\limits^q_p {\sqrt{1+(\frac{dy}{dx} )^2} } \, dx\)

Here we have to extract the value of (x1, x2) from the given coordinates, then we get,

=> (x1, x2) = (-3, 3)

Now, we have to find the derivative of y, then we get he value as,

=> dy/dx = x

So, the length is calculated as,

=> \(\int\limits^3_{-3} {\sqrt{1+x^2} } \, dx\)

As per the power rule of derivative, then reduced form of the equation is written as.

=> [x/√x²+1]₋₃³

When we apply the value of x as the given limit, then  we get,

=> [3/√3²+1] - [(-3)/√(-3)²+1]

=> [3/√10] + [3/√10]

=> 6/√10

=> 1.8973

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Answer:

5; dollars is the anser.

rrr

Answer:

-28*F, hope this helps!

Answer:

-28 F

Step-by-step explanation:

please give the other guy brainliest :))))

The general solution of the system of differential equations is given by:

[x1(t); x2(t)] = c1 [2t; t] e^(5t) + c2 [t; t] e^(9t)

where c1 and c2 are constants.

Let's first find the eigenvalues of the coefficient matrix. The characteristic polynomial is given as:

λ^2 - 14λ + 65 = 0

We can factor this as:

(λ - 5)(λ - 9) = 0

So, the eigenvalues are λ = 5 and λ = 9.

Now, let's find the eigenvectors corresponding to each eigenvalue:

For λ = 5:

(A - 5I)x = 0

where A is the coefficient matrix and I is the identity matrix.

Substituting the values, we get:

[3-5 1; 1 -5] [x1; x2] = [0; 0]

Simplifying, we get:

-2x1 + x2 = 0

x1 - 4x2 = 0

Taking x2 = t, we get:

x1 = 2t

So, the eigenvector corresponding to λ = 5 is:

[2t; t]

For λ = 9:

(A - 9I)x = 0

Substituting the values, we get:

[-1 1; 1 -3] [x1; x2] = [0; 0]

Simplifying, we get:

-x1 + x2 = 0

x1 - 3x2 = 0

Taking x2 = t, we get:

x1 = t

So, the eigenvector corresponding to λ = 9 is:

[t; t]

Therefore, the general solution of the system of differential equations is given by:

[x1(t); x2(t)] = c1 [2t; t] e^(5t) + c2 [t; t] e^(9t)

where c1 and c2 are constants.

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The Stokes approximation and Oseen approximation are methods used to determine the motion of fluid particles in a fluid dynamics problem.

The Stokes approximation applies to slow-moving fluid particles, where viscous forces are dominant, while the Oseen approximation applies to higher velocities, where convective forces are dominant..Oseen approximation: In this approximation, the equations governing the motion of fluid particles account for the convective forces in addition to the viscous forces.

This approximation is valid at moderate Reynolds numbers and is used when the viscous forces are still strong but not as dominant as in the Stokes approximation. The velocity of the fluid decreases less rapidly than in the Stokes approximation, and the approximation is valid for Reynolds numbers greater than one .The difference between the results of the two approximations lies in their range of applicability and the accuracy of their results.

The significance of the difference between the two approximations lies in their application to real-world problems. In fluid dynamics, it is essential to have accurate approximations to predict the behavior of fluid particles accurately. Therefore, choosing the appropriate approximation for the specific problem is critical. knowing the range of applicability of each approximation can help in determining the parameters for the problem.

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Step-by-step explanation:

The multiplier method involves multiplying the original value by a factor that represents the percentage increase.

To increase £88 by 14%, we can follow these steps:

Convert the percentage increase to a multiplier by adding 1 to the percentage as a decimal.

14% = 0.14

Multiplier = 1 + 0.14 = 1.14

Multiply the original value by the multiplier.

New value = £88 x 1.14

= £100.32

Therefore, to increase £88 by 14% using the multiplier method, we need to multiply £88 by 1.14, resulting in a new value of £100.32.

To solve this question we will use the following expression to compute the theoretical probability:

Now, recall that the possible outcomes of rolling a die are 1, 2, 3, 4, 5, and 6. Therefore the probability of obtaining no 6 in each rolling is:

Then, the probability of obtaining no 6's in four rollings is:

Simplifying the above product we get:

Answer:

To check the if a table represents a linear function we have to find the rate of change between the first two ordered pairs can be compared to the rate of change between the first and last ordered pairs to see if they are the same.

Well, a straight line is proportional to a linear function (on a graph). And the answers to the numbers can't be the same. If the X input is 5, for instance, and the Y output is 7, then Another non-linear X input of 5 and Y output of 8 follows.

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

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Answer:

i think C

Step-by-step explanation:

sorry if its wrong

Answer:

A

Step-by-step explanation:

A is the only option that equals 48 besides 4x12, which is not really prime factorization.

Also, 48 breaks down into 16x3, which breaks down into either \(2^{4}\) or \(4^{2}\) x 3, since 3 is already a prime number.

Answer:

23.96g

Step-by-step explanation:

Make sure to thank me!!!