Share £45 in the ratio 4:5

Answer:

3x - 2

Step-by-step explanation:

\(4x + 2 - \frac{ {x}^{2} + x - 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}^{2} + 4x - 3x- 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}(x + 4) - 3(x + 4)}{x - 3} \\ \\ = 4x + 2 - \frac{ (x + 4) \cancel{(x- 3)}}{\cancel{(x- 3)}} \\ \\ = 4x + 2 - (x + 4) \\ \\ = 4x + 2 - x - 4 \\ \\ = 4x - x + 2 - 4 \\ \\ = 3x - 2\)

Answer:

I'll help

Step-by-step explanation:

To calculate the process capability ratio (Cp), we use the formula:

Cp = (USL - LSL) / (6  σ)

Where:

USL = Upper Specification Limit

LSL = Lower Specification Limit

σ = Standard Deviation

Given:

Upper Specification Limit (USL) = 2,200 hours

Lower Specification Limit (LSL) = 1,500 hours

Standard Deviation (σ) = 80 hours

Calculating Cp:

Cp = (2,200 - 1,500) / (6  80)

Cp = 700 / 480

Cp = 1.46 (rounded to two decimal places)

The process capability ratio (Cp) is approximately 1.46.

To determine if the process is capable of producing chips within the specified limits, we need to compare Cp to the desired threshold. Generally, a Cp value greater than 1 indicates that the process is capable of meeting the specifications.

In this case, the Cp value is 1.46, which is greater than 1, so we can say that the process is capable of producing chips to the design specifications.

Now, let's calculate the process capability index (Cpk). The formula for Cpk is as follows:

Cpk = min[(USL - μ) / (3  σ), (μ - LSL) / (3  σ)]

Where:

μ = Mean (average life of the chips)

Given:

Mean (μ) = 1,600 hours

Standard Deviation (σ) = 80 hours

Upper Specification Limit (USL) = 2,200 hours

Lower Specification Limit (LSL) = 1,500 hours

Calculating Cpk:

Cpk = min[(2,200 - 1,600) / (3  80), (1,600 - 1,500) / (3  80)]

Cpk = min[600 / 240, 100 / 240]

Cpk = min[2.5, 0.42]

Cpk ≈ 0.42 (rounded to two decimal places)

The process capability index (Cpk) is approximately 0.42.

Since Cpk is less than 1, it indicates that the process is not capable of meeting the specification limits adequately. Therefore, we can conclude that the process does not meet the specification requirements.

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Answer:

Option D

Step-by-step explanation:

We convert 5 2/3 into an improper one:

17/3

There are 5 people in his family

17/3 * 1/5 = 17/15

So option D

Answer:

(x + 20) + x = 180

-x                    -x

x + 20 = 180 - x

-x                   -x

20 = 180 - 2x

-180     -180

-160 = -2x

divide by -2 on both sides.

80 = x

Let's double check!

80 + (80 + 20) = 180!

The value of x for line m = 80!

Now let's find the value of x on line n:

(4x + 5) + x = 180

-x                    -x

4x + 5 = 180 - x

-5              -5

4x = 175 - x

+x       +x

5x = 175

divide by 5 on both sides.

x = 35

Let's double check!

35 + (4 x 35 - 5)

= 170 hmm it doesnt match 180 but just go with it.

Correct option is C. That number is 0.

Let the number is x

It divided by 2=  x/2

And divided by 4=  x/4

∴  x/2 = x/4

⇒4x=2x

⇒2x=x

The only time that can be possible is when x=0

2(0)=0

Then 0 is the number.

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Answer:

m=3/2

Step-by-step explanation:

Answer:

I am not sure but A.69° . anything else but wrong answer sorry

Step-by-step explanation:

and thanks for you free points .

The part of the coordinate plane that is equidistant from the points A(-3, 2) and B(3, 2) is the horizontal line with a y-coordinate of 2.

The points A(-3, 2) and B(3, 2) have the same y-coordinate, which means they lie on a horizontal line. The midpoint of the line segment AB will also lie on this line.

To find the midpoint, we can average the x-coordinates and the y-coordinates of the two points.

The x-coordinate of the midpoint is (-3 + 3) / 2 = 0 / 2 = 0.

The y-coordinate of the midpoint is (2 + 2) / 2 = 4 / 2 = 2.

Therefore, the midpoint of AB is (0, 2).

Since the midpoint lies on the same horizontal line as the points A and B, any point on this line will be equidistant from A and B. This line is parallel to the x-axis and has a y-coordinate of 2.

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Answer:

Step-by-step explaiton

i hope this helps

The conclusions that can be made about the two distributions are:

Options A and D are correct.

The means-to-MAD ratio is found by dividing the mean of a dataset by its Mean Absolute Deviation (MAD).

We have that in Data Set 1, the means-to-MAD ratio is 54/4 = 13.5, and in Data Set 2, the means-to-MAD ratio is 60/2 = 30.

Since the means-to-MAD ratio in Data Set 1 is 13.5 and in Data Set 2 is 30, we can conclude that the two distributions are not similar.

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Answer:

TUNNEL:

f(x) = -2/4.9  \(x^{2}\)  + 9.8

TRUCK:

Width (m) < 9.8

Height (m) <  -2/4.9 ( \(Width^{2}\) /4 - \(4.9^{2}\) )

Step-by-step explanation:

Please see attachment

If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, The quadratic model to represent the tunnel will be f(x)= (-2/4.9)x²+9.8.

Any function of the form\(\rm f(x) =ax^2+bx+c\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.

It is given that, If the maximum height of the tunnel is the same as its maximum width, 9.8 meters.

We have to determine a quadratic model to represent the tunnel.

The quadratic function is formed as,

f(x) =K(x-x₁)(x-x₂)

x₁=width/2

x₁=9.8/2 = 4.9

x₂= -x₁ = -4.9

Substitute the obtained value as,

f(x) = K(x-4.9)(x-(-4.9))

f(x) =K(x²-4.9²)

f(0)=9.8

The value of K is obtained as a result,

K=-2×4.9/(4.9)²

K= -2/4.9

Substitute the value of K as,

f(x) = -2/4.9(x²-4.9²)

f(x) = (-2/4.9)x²+2×4.9

f(x)= (-2/4.9)x²+9.8

Thus, if the maximum height of the tunnel is the same as its maximum width, 9.8 meters, The quadratic model to represent the tunnel will be f(x)= (-2/4.9)x²+9.8.

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1.)A   2.)B.  3.)C.  4.)C.   5.)B

I think the only one i might of gotten wrong is 4. if any are wrong. please let me know for future reference.

~ItsOniiSama ❤

Hope this helps! If so please ,mark brainliest!

Answer:

1. A

2. A

3. C

4. C

5. B

Step-by-step explanation:

i do beleive these are the correct answers

the sorted list from smallest to largest using the selection sort algorithm is: 1, 2, 6, 10, 25, 30, 45, 50, 58, 86.

To sort the list 6, 45, 10, 25, 58, 2, 50, 30, 86, 1 using the selection sort algorithm from smallest to largest, we need to repeatedly select the smallest element from the unsorted portion of the list and move it to the sorted portion of the list.

After the first iteration of the outer for loop, the smallest element in the list, 1, is selected and moved to the beginning of the list. The list becomes: 1, 45, 10, 25, 58, 2, 50, 30, 86, 6.

After the second iteration of the outer for loop, the smallest element in the unsorted portion of the list, 2, is selected and moved to the second position of the list. The list becomes: 1, 2, 10, 25, 58, 45, 50, 30, 86, 6.

After the third iteration of the outer for loop, the smallest element in the unsorted portion of the list, 6, is selected and moved to the sixth position of the list. The list becomes: 1, 2, 6, 25, 58, 45, 50, 30, 86, 10.

After the fourth iteration of the outer for loop, the smallest element in the unsorted portion of the list, 10, is selected and moved to the ninth position of the list. The list becomes: 1, 2, 6, 10, 58, 45, 50, 30, 86, 25.

After the fifth iteration of the outer for loop, the smallest element in the unsorted portion of the list, 25, is selected and moved to the fifth position of the list. The list becomes: 1, 2, 6, 10, 25, 45, 50, 30, 86, 58.

After the sixth iteration of the outer for loop, the smallest element in the unsorted portion of the list, 30, is selected and moved to the eighth position of the list. The list becomes: 1, 2, 6, 10, 25, 45, 50, 30, 86, 58.

After the seventh iteration of the outer for loop, the smallest element in the unsorted portion of the list, 45, is selected and moved to the seventh position of the list. The list becomes: 1, 2, 6, 10, 25, 30, 50, 45, 86, 58.

After the eighth iteration of the outer for loop, the smallest element in the unsorted portion of the list, 50, is selected and moved to the eighth position of the list. The list becomes: 1, 2, 6, 10, 25, 30, 45, 50, 86, 58.

After the ninth and final iteration of the outer for loop, the smallest element in the unsorted portion of the list, 58, is selected and moved to the ninth position of the list. The list becomes: 1, 2, 6, 10, 25, 30, 45, 50, 58, 86.

Therefore, the sorted list from smallest to largest using the selection sort algorithm is: 1, 2, 6, 10, 25, 30, 45, 50, 58, 86.

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Answer:

? = 65°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ UPT is an external angle of the triangle, thus

? + 50° = 115° ( subtract 50° from both sides )

? = 65°

Step-by-step explanation:

using SOH CAH TOA

0=30°, hyp =x,adj=y,opp=4

sin0=opp/hyp

sin 30=4/x

0.5=4/x

0.5x=4

divide both sides by 0.5

x=8

using c²=a²+b²

where c=Hypotenuse=8

a=opposite=4

b=Adjacent=y

making b the subject of formula

b²=c²-a²

b²=8²-4

b²=64-16

b²=48

b=√48

b=4√3

Answer:

0.5

Step-by-step explanation:

If one part = 1/17

Then, 8 parts = 1/16 x 8 = 1/2

1/2/as a decimal is 0.5

Hope this helps

Answer:

WildCraft it’s a cool animal sim!!!

Step-by-step explanation:

Answer:

Doom

Step-by-step explanation:

Pretty good run and guy game, really good graphics depending on which game you play, I recommend playing Doom 2016 first to understand the story, Doom eternal is fun though....

The distance between port 3 to port 1 is 7.7 miles.

Distance is the length along a line or line segment between two points on the line or line segment.

Here, a rough sketch is attached.

The angle between 3.5 and 6 is = (90⁰ + 15⁰) = 105⁰.

We will need the law of cosine = \(\sqrt{a^2 + b^2 -2abcos\alpha }\)

So the distance between port 3 to port 1 is:

      \(\sqrt{3.5^2 + 6^2 -2 X 3.5 X 6 X cos 105 }\)

    = 7.6889

    ≈ 7.7

Thus, the distance between port 3 to port 1 is 7.7 miles.

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Yuki would have typed more than Neil at 10:30 AM and the inequality is 45×90+45 × x < 90 × x

We know that Neil started 90 minutes earlier than Yuki by subtracting the time difference So that tells us that

at 10:30 AM Neil would have typed 45 times 90. After x minutes he would have typed 45*90+45*x and Yuki would have typed 60*x.

Words typed by Yuki will be greater than those that will be Words typed by Neil

45×90+45 × x < 90 × x

When we will try in  Solving the above inequality would give us

x >90

it means that 90 minutes after 10:30 AM

Yuki would type more than Neil.

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The expression is x+2-2y

It is given to us that logp5=x and logp7=y

Now we are required to find logp(5p^2)/49 in terms of x and y

we know that in logarithmic formulas

loga^b=b loga

logab = log a+log b

log a/b= log a- log b

Now using these formulas to find the solution,

logp 5p^2/49

= logp5+ logp p^2 -log 49

=logp5+2 logpp-2log7

we know that logpp=1,hence

= logp5+2 -2 logp7

=x+2-2y

Hence the expression is x+2-2y

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The function is one-to-one: Yes, the function is one-to-one. It passes the horizontal line test, meaning that no horizontal line intersects the graph at more than one point. This indicates that each x-value corresponds to a unique y-value, making the function one-to-one.

For the function y = -ln(-x):

The graph has an asymptote: Yes, the function has an asymptote. As x approaches 0 from the left side, the function approaches negative infinity.

The function is increasing on its entire domain: No, the function is not increasing on its entire domain. Since the natural logarithm function is only defined for positive values, the domain of the given function is restricted to negative values of x. Therefore, it is not increasing on its entire domain.

The function is decreasing on its entire domain: No, the function is not decreasing on its entire domain. Similar to the previous point, the function is not defined for positive values of x, so it is not defined on its entire domain and cannot be considered decreasing on the whole domain.

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Answer:

naiga

Step-by-step explanation:

/ 'lkjm566666666666666666666

Answer: f(x)+3

Step-by-step explanation:

g is 3 units ABOVE f. Therefore, f(x)+3 is the only answer, since f(x+3) would only shift the graph to the left, f(x-3) would shift the graph to the right, and f(x)-3 would translate the graph 3 units DOWN, not up. So, the correct answer is f(x) + 3

Answer:

198 in²

Step-by-step explanation:

triangle (A=1/2)bh [A=1/2(22×8)] b=22 H=8

rectangle (A=bh) [A= 22×5] B=22 H=5

triangle = 88

rectangle = 110

So, 88+110 = 198

The total area of the composite figure is 224 inches squared

From the question, we have the following parameters that can be used in our computation:

The composite figure

The total area of the composite figure is the sum of the individual shapes

So, we have

Surface area = 1/4 * 3.14 * 14² + 14 * 5

Evaluate

Surface area = 223.86

Approximate

Surface area = 224

Hence. the total area of the figure is 224 inches squared

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