simplify the expression: (2y + 1)(5)

The smoothed forecast for this year depends on last years forecast and

observation, as well as the value of alpha.

Response:

The given parameter are;

α = 0.2

From a similar question online, we have the following possible values;

Last year's smoothed forecast, F₄ = 15,000

Last years actual value, A₄ = 20,000

Required:

The forecast this year

Solution:

The exponential smoothing relationship is expressed as follows;

F₅ = F₄ + α·(A₄ - F₄)

Which gives;

F₅ = 15,000 + 0.2 × (20,000 - 15,000) = 16,000

Learn more about forecasting here:

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Answer: 30 mph

Step-by-step explanation: As we know: the formula for Average Speed (AS) is Average Speed = Total Distance ÷ Total Time.

Since we don't know exactly how far Jen needed to drive, our distance there will be 1, and since we don't know how long it took to get there, we will put 1 as well.

Now we have to state the distance and time to get back.  The distance will stay the same so we keep it 1. Now it is stated that when returning, it took Jen 3 times slower to get back, so we do 1 × 3 (because it took her longer) and get 3.

Next, we substitute: AS=TD÷TT ⇒ AS= (1+1) ÷ (1+3) = 2 ÷ 4= 1/2 or 1.4

Since our given beginning speed was 60mph, we need to multiply by 1/2 to get the final answer:

1/2 x 60 = 30

So ya, this is the answer *100% correct, checked on another website*

The vector representation of the phasor is given by:

24∠-30

A phasor is a complex number, in the following format:

[tex]p = M\sin{(\theta - s)}[/tex]

In which:

The vector representation is given by:

M∠s.

In this problem, the signal is:

[tex]v = 24\sin{(\theta - 30^\circ)}[/tex]

Hence, the vector representation is given by:

24∠-30

More can be learned about phasors at https://brainly.com/question/26334176

Answer:

parallel: y = -8x+-27

perpendicular: y= [tex]\frac{1}{8} +5\frac{1}{2}[/tex]

Step-by-step explanation:

Answer: s=n+6

Step-by-step explanation:

We know that s increases by 1 every time n increases by 1.

So we have s = n + [something]

To find this [something], we can just substitute one pair of values.

Take n=1, s=7 - we'll get 7 = 1 + [something] -> [something] = 6

So we have s = n+6

Answer:

1/4

Step-by-step explanation:

Answer:

total = 75x + 112

Step-by-step explanation:

I did 75x because x would be how many weeks and added 112 because of the starting amount

Answer:

[tex]a = \frac{1}{2} bh \\ \\ b = a \div ( \frac{1}{2} h) \\ \\ b = a \times \frac{2}{h} \\ \\ b = \frac{2a}{h} [/tex]

Answer:

  a.  given ∠1≅∠2, the converse of the corresponding angles theorem shows l║m.

Step-by-step explanation:

There are several things you need to know to be able to answer this question.

__

You are given ∠1 ≅ ∠2, so the hypothesis of the converse of the corresponding angles theorem is already true. The conclusion that the lines are parallel is what you are asked to prove. To prove that, you only need to identify the angles as being corresponding, and invoke the theorem. The logic matches answer choice A.

 ∠1≅∠2 is given. The diagram shows ∠1 and ∠2 are corresponding angles, so by the converse of the Corresponding Angles Theorem, l║m.

Answer:

65 degrees

Step-by-step explanation:

All angles of a triangle have to add up to 180 degrees. After establishing that, we can see that there are two angles given. 25 degrees and a 90-degree symbol. So if two angles add up to 115 degrees, we can do 180-115=65 to find the angle of C.

Answer:

m∠C=65°

Step-by-step explanation:

m∠B=90°

m∠A=25°

m∠A+m∠B+m∠C=180°

25°+90°+m∠C=180°

m∠C=180°-(90°+25°)

m∠C=65°

Hope it helps! :)

Answer:

10

Step-by-step explanation:

Even numbers less than 30 are:

2,4,6,8,10,12,14,16,18,20,22,24,26,28

We know it has two digits so we can cross out:

2,4,6,8

We are left with the last piece of information being that it's total is 10 - none of the remaining numbers add up / total to 10 therefore Spooky's favourite number is 10 !

Discounts are used to reduce the price of items

The percentage discount during the sale is 22.41%

The given parameters are:

Worth = Rs 58000

Selling price = Rs 45000

Start by calculating the discount amount

Discount = Worth - Selling Price

So, we have:

Discount = Rs 58000 - Rs 45000

Discount = Rs 13000

The percentage discount is then calculated as:

[tex]\% Discount = \frac{Discount}{Worth}[/tex]

This gives

[tex]\% Discount = \frac{13000}{58000}[/tex]

Simplify

[tex]\% Discount = 22.41\%[/tex]

Hence, the percentage discount during the sale is 22.41%

Read more about discounts at:

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Answer:

12.5

Step-by-step explanation:

In a rectangle, the two diagonals are equal length, so MK = JL = 2x + 9

Note MK = 2 * MN, so

2x + 9 = 2 * (3x + 1)

expand:

2x + 9 = 6x + 2

Solve:

9 - 2 = 6x - 2x

4x = 7

x = 7/4

MK = JL = 2x + 9 = 2 * 7/4 + 9 = 7/2 + 9 = 3.5 + 9 = 12.5

Answer:

B. Parallel lines have the same slope

Step-by-step explanation:

The slope is the inclination, two parallel lines have the same inclination and never intersect.

Hope this helps

Answer:

the answer is going to be letter b

Answer:

3 times

Step-by-step explanation:

Area of circle =pi*r^2

Area of shaded area=pi*4*4\2 (semi circle)

Area of unshaded area=pi *6*6-pi*4*4/2=pi*24

Divide 2nd by 1st

We get 3 times

Answer:

Step-by-step explanation:

Answer:

295 cm[tex] {}^{2} [/tex]

Answer:

5/14

Step-by-step explanation:

4/7 x 5/8 = 20 /56

Then divide by 4

20/56 x 4/4 = 5 /14

Answer:

The answer is 5/14

Step-by-step explanation:

i know cuz i took the test

Answer:

7/10 or 0.7

Step-by-step explanation:

-3/2 (1/3 - 4/5)

(-3/2) (1/3 + -4/5)

(-3/2)(1/3) + (-3/2)(-4/5)

-1/2 + 6/5

7/10

I think this PDF should assist you in the property of operations for fractions and also help you in solving future problems.

Answer:

I'm pretty sure you would just add and subtract as needed.

Step-by-step explanation:

Sorry if i'm wrong.

Answer:

π/4, or 3π/4

Step-by-step explanation:

dy/dx = cos(x)*cos(x)+sin(x)*[-sin(x)]=(cosx)^2-(sinx)^2=[1-(sinx)^2]-(sinx)^2 = 1-2(sinx)^2

Tangent line is horizontal, so dy/dx = 0

1-2(sinx)^2 = 0

(sinx)^2 = 1/2

sinx = [tex]\frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}}[/tex]

Between 0 and pi, sinx >0

so sinx = [tex]\frac{1}{\sqrt{2}}[/tex]

x = π/4, or 3π/4

Answer:

A(8,9,10,11,12)

Step-by-step explanation:

A(8,9,10,11,12)

Answer:

The missing numerator is 2

Step-by-step explanation:

Assign "x" to the numerator sought:

[tex]\frac{x}{7} +\frac{13}{14} =1\frac{3}{14}[/tex]

[tex]\frac{14x+91}{98} =\frac{14+3}{14}[/tex]

[tex]14x+91=98(\frac{17}{14} )[/tex]

[tex]14x=\frac{1666}{14} -91[/tex]

[tex]14x=119-91[/tex]

[tex]x=\frac{28}{14}[/tex]

[tex]x=2[/tex]

Hope this helps

Answer: 27 1/2 miles per gallon

Step-by-step explanation: trust me bro

Answer:

[tex]6.19=6\frac{19}{100}[/tex]

Step-by-step explanation:

[tex]6.19=6\frac{19}{100}[/tex]