Given the following information 1. The linear regression trend line equation for the de-seasonlized data (Unadjusted): Ft= 177+8t 2. Seasonality Index table Year Period 2021-period 1 2021-period 2 2021-period 3 1 16 17 18 Seasonality Index (SI) 0.78 1.35 1.18 2021 Find the Adjusted Forecast in year 2022 for Period - 2 (Round your answer to 2 decimal places)

Answers

Answer 1

Therefore, the adjusted forecast for period-2 of the year 2022 is 249.75 (rounded to 2 decimal places). Hence, the required answer is: Adjusted forecast for period-2 of the year 2022 is 249.75.

The given information for solving this question is as follows:

1. The linear regression trend line equation for the de-seasonalized data (Unadjusted):

Ft= 177+8t2.

Seasonality Index table Year Period

2021-period 12021-period 22021-period 31 16 17 18

Seasonality Index (SI) 0.781.351.18

The objective is to determine the adjusted forecast for period-2 of the year 2022. Therefore, the following steps will be followed:

Step 1: Calculate the de-seasonalized forecast (unadjusted) for period-2 of the year 2022 using the given linear regression trend line equation:

Since the data for the year 2022 is required, the value of t will be equal to 2022-2021

1Ft= 177 + 8t

1Ft = 177 + 8(1)= 185

So, the unadjusted forecast for period-2 of the year 2022 is 185.

Step 2: Calculate the seasonal index for period-2 of the year 2022 from the given table:

The year is 2022 and the period is 2, so the seasonal index for period-2 of the year 2022 is 1.35.

Step 3: Calculate the adjusted forecast for period-2 of the year 2022 by multiplying the unadjusted forecast with the seasonal index:

Adjusted forecast = Unadjusted forecast × Seasonal index

Adjusted forecast = 185 × 1.35

Adjusted forecast = 249.75

Therefore, the adjusted forecast for period-2 of the year 2022 is 249.75 (rounded to 2 decimal places).

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Related Questions

Exercise #1: A rectangular, right prism (or box) has a length of 8 inches, a width of 4 inches, and a height of 5
inches.
= 1 in
(a) What is the area of the base of the box? Use appropriate units.
(b) What is the volume of the box? Use appropriate units. How can
you use your answer to part (a) to determine the volume?

Answers

Step-by-step explanation:

(a) What is the area of the base of the box? Use appropriate units.

A=lw

A=8(4)

A=32 inches

(b) What is the volume of the box? Use appropriate units. How can

you use your answer to part (a) to determine the volume?

V=lwh

V=8(4)(5)

V=160 inches

I need help please ??

Answers

Answer:

a. 2(4*8 + 8*6 + 4*6)

2(32+48+24)

2(104)

208 in^2

b. 4*8*6 = 192 in^3

Consider the following relation R 1

and set of functional dependencies F 1

R 1

={A,B,C,D,E,I}
F 1

={A→C,AB→C,C→DI,CD→I,EC→AB,EI→C}

(a) Determine all the candidate keys for the relation R 1

. (b) Find the attribute closure for (ACD) and (BCI) for the relation R 1

. (c) Find the minimal cover(F c

) of the relation R 1

. (d) Decompose the relation R 1

into BCNF form.

Answers

The decomposed relations are R2 (ABCEI), R3 (CDI), and R4 (CD).

a. To calculate the candidate key for the relation R1, we will calculate the closure of all the attributes using the functional dependencies given in F1. We can start by calculating the closure of attribute A, which is A+ = A, C, and D.

However, A does not form a candidate key since it does not contain all the attributes of R1. We can move on to calculating the closure of attribute AB.

A+ = AB, C, D, and I.

Since A and B together can generate all attributes of R1, AB is a candidate key. We can verify this by checking if the closure of AB+ generates all attributes of R1, and indeed it does.

Similarly, we can calculate the closure of attributes CD, EC, and EI to see if they can form candidate keys.

CD+ = C, D, and I, EC+ = A, B, C, and E, and EI+ = C and D. Therefore, the candidate keys for R1 are AB, CD, EC, and EI.

b. Attribute closure for (ACD) and (BCI):

ACD+ = A, C, D, IBCI+ = B, C, D, E, I

c. To find the minimal cover (Fc) of the relation R1, we can start by eliminating the redundant functional dependencies in F1 using the following steps:

Eliminate redundant dependencies: We can eliminate the dependency CD → I since it is covered by the dependency C → DI

Obtain only irreducible dependencies: We can simplify the dependency EC → AB to E → AB since C can be eliminated since it is a non-prime attribute.

Remove extraneous attributes: We can remove the attribute C from A → C since A is a superkey for R1. Therefore, the minimal cover (Fc) of the relation R1 is:

A → CC → DDI → CE → ABE → C

d. To decompose the relation R1 into BCNF form, we can use the following steps:

Identify dependencies violating BCNF:

The dependencies AB → C and EC → AB are violating BCNF since the determinants are not superkeys for R1.

Decompose the relation: We can create two new relations R2 and R3 as follows:

R2 (ABCEI) with dependencies AB → C and E → ABR3 (CDI) with dependencies C → DI and CD → I

Both R2 and R3 are in BCNF since all the determinants are superkeys for the respective relations.

However, they are not a lossless join decomposition since there is no common attribute between R2 and R3.

Therefore, we need to add a new relation R4 (CD) with the primary key CD, which has a foreign key in R3.

This ensures that the join of R2, R3, and R4 is lossless. Therefore, the decomposed relations are R2 (ABCEI), R3 (CDI), and R4 (CD).

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Todd made a table to show different plans he can use to save $500. Complete the table. Which plan can Todd use to save $500 in less than 16 weeks and have $20 extra? Explain how you found your answer

Answers

Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

In plan A,

Plans for saving = $500

Amount of saving each week = $20

∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)

= 25

In plan B,

Plans for saving = $500

Amount of saving each week = $30

∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)

= 17

In plan C,

Plans for saving = $500

Amount of saving each week = $40

∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)

= 13

In plan D,

Plans for saving = $500

Amount of saving each week = $50

∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)

= 10

So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

Answers

The height of the cliff is approximately 244 feet (to the nearest foot).

To find the height of the cliff, we can use the trigonometric relationship between the angle of elevation and the height of the object.

Let's denote the height of the cliff as h.

In a right triangle formed by the boat, the cliff, and the line of sight to the top of the cliff, the angle of elevation (θ) is given as 19°45'. This angle is formed between the horizontal line (from the boat to the base of the cliff) and the line of sight to the top of the cliff.

We can use the tangent function to relate the angle of elevation and the height of the cliff:

tan(θ) = height of cliff / distance to the base of the cliff

tan(19°45') = h / 685

To find the value of tan(19°45'), we can convert the angle to radians and use a calculator or table. In this case, tan(19°45') is approximately 0.356.

0.356 = h / 685

Now, we can solve for h:

h = 0.356 * 685

h ≈ 244.06

Therefore, the height of the cliff is approximately 244 feet (to the nearest foot).

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Given cos 0 = - 3/5 and cot A < 0, find the tan 0

Answers

Solution

Given that cos θ= 3/5 and cot x < 0, then tanθ = ?

Using trigonometric function and angle

$cos=\frac{adj}{hyp}$

USING PYTHAGORAS therorem

$\begin{gathered} adjacent=-3 \\ opposite=x \\ hypotenuse=5 \end{gathered}$

$\begin{gathered} hYP^2=OPP^2+ADJ^2 \\ 5^2=x^2+(-3)^2 \\ 25=x^2+9 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt{16} \\ x=4 \end{gathered}$

Tanθ = opposite/adjacent

$tan\theta=\frac{4}{-3}=-\frac{4}{3}$

Question 3(Multiple Choice Worth 2 points)
(Comparing Data MC)

The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.

Which drive-thru is able to estimate their wait time more consistently and why?

Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range

Answers

Burger Quick is able to estimate their wait time more consistently than Super Fast Food because it has a smaller interquartile range (IQR).

In this case option A is correct

The IQR is a measure of the spread of the middle 50% of the data in a distribution and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). A smaller IQR indicates that the data is more tightly clustered around the median and there is less variability in the data.

In this case, the IQR for Burger Quick is (24 - 9.5) = 14.5 minutes, while the IQR for Super Fast Food is (15.5 - 12) = 3.5 minutes. Therefore, Burger Quick is able to estimate their wait time more consistently than Super Fast Food.

The range is a measure of the spread of the data in a distribution and is calculated as the difference between the maximum and minimum values. A smaller range indicates that the data is more tightly clustered around the center and there is less variability in the data. However, in this case, the range for Super Fast Food is smaller than the range for Burger Quick, but this alone does not necessarily indicate which drive-thru is able to estimate their wait time more consistently.

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Please help me ASAP with this math problem

Answers

Answer:

Root( c square -9)

Step-by-step explanation:

The answer u have is the answer for a^2

Answer:

Root (c square -9)

Step-by-step explanation:

Find the slope of each graph by comparing the ratio of the rise over the run. (only do #3)

Answers

Answer: undefined

Step-by-step explanation:

Question 3 is undefined.

rise/0 is undefined.

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

3. A man stands 200 ft to the left of where a car starts moving north. The car is
moving at 50ft/sec. (a) Find the rate at which the diagonal distance from the man
to the car is changing once the car has been traveling for 10 seconds. (b) Find the
rate at which the angle from the man to the car is changing at the same moment
(10 seconds after the car starts moving). Round answers to 4 decimal places.
200 ft
car (moving at 50 ft/sec)
O

Answers

The length of the diagonal will be 538.5 ft. Then the rate at which the angle from the man to the car is changing at the same moment will be 46.43 ft/s.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A man stands 200 ft to the left of where a car starts moving north. The car is moving at 50ft/sec.

The rate at which the diagonal distance from the man to the car is changing once the car has been traveling for 10 seconds. Then the length of the diagonal will be

L² = x² + y²

L² = 200² + (50 × 10)²

L² = 40000 + 250000

L² = 290000

L = 538.50 ft

Then the rate at which the angle from the man to the car is changing at the same moment will be

L² = x² + y²

Differentiate with respect to time, then we have

2L (dL/dt) = 0 + 2y (dy/dt)

2(538.5) (dL/dt) = 2 (500) (50)

dL/dt = 46.43 ft/sec

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Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. Can these numbers be the length of the sides of a triangle? Show the math to prove your answer. Then circle YES or NO. 1) 8,9,10 2) 1, 1, 2 3) 6,9,8 yes or no yes or no yes or no

Answers

Answer:

1) yes 2) no 3) yes

Step-by-step explanation:

The lengths of the two shorter sides must be greater than the length of the longest side.

1) 8 + 9 > 10 yes

2) 1 + 1 = 2 no

3) 6 + 8 > 9 yes

The lengths which can be side of triangle are:

8, 9, 106, 9, 8

Apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

1. 8, 9, 10:

The sum of the lengths of the two smaller sides is 8 + 9 = 17 > 10

Therefore, these numbers can be the lengths of the sides of a triangle.

2. 1, 1, 2:

The sum of the lengths of the two smaller sides is 1 + 1 = 2.

No, 2 is equal to the length of the longest side.

So these numbers cannot be the lengths of the sides of a triangle.

3. 6, 9, 8:

The sum of the lengths of the two smaller sides is 6 + 8 = 14 > 10

Therefore, these numbers can be the lengths of the sides of a triangle.

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if 0°<0<90° and sin0=12/13, find cos0 using trigonometric identities.

• 12/5
• 5/12
• 12/13
• 5/13

Answers

here's the solution,

we know :

$ \sin( \theta) = \dfrac{perpendicular}{hypotenuse} $

So,

$ \dfrac{p}{h} = \dfrac{12}{13} $

so.. let the perpendicular be 12x and hypotenuse be 13x

now,

by applying pythagoras theorem,

$b {}^{2} = h {}^{2} - p {}^{2} $

where,

b = base h = hypotenuse p = perpendicular

So,

$b {}^{2} = ({13x})^{2} - ({12x})^{2} $$ b {}^{2} = 169x {}^{2} - 144x {}^{2} $$ {b}^{2} = 25x {}^{2} $$b = 5x$

so,

$ \cos( \theta) = \dfrac{b}{h} $

$ \cos( \theta) = \dfrac{5x}{13x} $

$ \cos( \theta) = \dfrac{5}{13} $

hope it helps !!

Which tasks are performed by individuals in the Science and Math pathway? Select all that apply.

research human behavior
design and test machinery
develop scientific theories
interpret designs and documents
perform calculations and make predictions
maintain lab equipment to perform experiments

Answers

Answer:

1, 3, 5, 6 I hope that's correct for you

Answer:

Step-by-step explanation:

hope this helps

The function(t)--4.87+18.75 is used to model the height of an object projected in the air, where h() is the height in
meters and t is the time in seconds. What are the domain and range of the function h(0)? Round values to the nearest
hundredth.
25
20+
(1.9, 18.05)
15-
10+
st
"

Answers

The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.

How to calculate the domain of the function?

In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:

0= -4.87t² + 18.75t.

4.87t(-t + 3.85) = 0

t = 0 or t = 3.85.

Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).

How to calculate the range of the function?

h(t) = -4.87t² + 18.75t

h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)

h(t) = -4.87(t - 1.925)² + 18.05

Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).

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Answer:

A on EDGE 2022

Step-by-step explanation:

is there a standard statistical power when you calculate significance without using statistical power?

Answers

No, there is no standard statistical power when calculating significance without using statistical power.

Statistical power is the probability of rejecting a false null hypothesis. It is usually calculated before conducting a study to determine the required sample size. If statistical power is not used, the significance level (usually set at 0.05) is used to determine whether the null hypothesis can be rejected. However, this approach does not take into account the possibility of a type II error (failing to reject a false null hypothesis) and can result in low statistical power. To improve statistical power, it is recommended to calculate the required sample size using statistical power before conducting a study.

Without using statistical power, there is no standard for determining the required sample size and statistical power. Using only significance level can result in low statistical power and increase the likelihood of type II errors. Calculating statistical power is recommended for accurate and reliable results.

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Which expression is equal to the expression below?
(2• 6) 4
O A. 84
B. 24.64
O c. 4. (2.6)
OD. 2. (6)

Answers

Answer:

Step-by-step explanation:

(2*6)4

(12)4

Hoped it helped :)

The correct expression is equal to the given expression is,

⇒ 2⁴ × 6⁴

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Expression is,

⇒ (2 × 6)⁴

Now, We can simplify as;

⇒ (2 × 6)⁴

⇒ 2⁴ × 6⁴

Thus, The correct expression is equal to the given expression is,

⇒ 2⁴ × 6⁴

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The distribution of ph levels for all community swimming pools in a large county is approximately normal with mean 7. 5 and standard deviation 0. 2. According to swimming pool studies, the safest ph levels for water in swimming pools are between 7. 2 and 7. 8. (a) one community swimming pool in the county will be selected at random. What is the probability that the selected pool has a ph level that is not considered safe?.

Answers

The probability that the selected pool has a ph level not considered safe is approximately 0.22 (or 22%). This can be calculated using the cumulative probability of a normal distribution with a mean of 7.5 and a standard deviation of 0.2.

1. Calculate the z-score for the lower limit of 7.2: (7.2 - 7.5) / 0.2 = -1.5

2. Calculate the z-score for the upper limit of 7.8: (7.8 - 7.5) / 0.2 = 1.5

3. Calculate the cumulative probability of the lower limit: P(-1.5) = 0.0668

4. Calculate the cumulative probability of the upper limit: P(1.5) = 0.9332

5. Calculate the probability that the selected pool has a ph level not considered safe: P(not safe) = 1 - (P(1.5) - P(-1.5)) = 0.22

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Stephen Curry plays for the Golden States Warriors and touts a 90% free throw shooting record. If he shot 20 free throws in a game, how many did he miss?
I NEED HELPPPPPPPP PLEASE

Answers

He missed 2.

90% of 10 is 9. So he makes 9 shots and misses 1 for every 10 free throws.

So just double that number (1 shot missed) and so you get 2 missed shots

Hope this helps, and please consider marking branliest if this did

WILL MARK BRAINLIEST!
Simplify -5a + a

Answers

Answer:

-5a+a

= -4a

Step-by-step explanation:

mark me brainlist

Athlete endorsers are often viewed as role models and expected to portray positive character traits while maintaining high moral standards, though in recent years, some athletes have rebelled against this notion. However, in some cases, teams, organizations, and brands will be willing to overlook moral or ethical blunders and character issues if a player is popular with the target audience. What is your opinion about the moral, ethical, and character standards in place for athlete endorsers? Drawing on the tenets of a Christian worldview (CWV) perspective, what would you do if you were asked to sign an athlete endorser with questionable character or moral and ethical values that were in conflict with your own?

Answers

In such a situation, I would choose not to endorse the athlete.

From a Christian worldview perspective, moral, ethical, and character standards hold significant importance. Athlete endorsers, as role models, should strive to uphold positive character traits and high moral standards. However, it is evident that in recent years, some athletes have challenged this notion.

When faced with the decision to sign an athlete endorser with questionable character or conflicting moral and ethical values, it is crucial to prioritize one's own values and beliefs. As a Christian, I would consider the impact of endorsing such an athlete on my personal integrity, as well as the message it sends to others.

It is essential to remain true to one's own moral compass and avoid promoting behavior that goes against Christian values. By doing so, I would be staying consistent with my beliefs and upholding the standards I hold dear.

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The measure of each exterior angle of a regular polygon of 12 sides is ______ .
A.45o
B.75o
C.60o
D.30o

Answers

The measure of each exterior angle of a regular polygon of 12 sides is equal to 30° option D.

A polygon's exterior angles are generated by extending one of its sides and extending the other side. The sum of a polygon's outside angles equals 360 degrees. You've probably heard of the phrase polygon. A polygon is an enclosed flat shape made up of three or more line segments. The line segments are referred to as sides, and the location where two sides intersect is referred to as the polygon's vertex.

Adjacent sides are a pair of sides that meet at the same vertex. The inner angle is the angle formed by one of the vertices. For all polygons, the interior and external angles at each vertex vary.

We know that the sum of a polygon's outer angles is 360.

As a result, the exterior angle of a regular polygon with 12 sides Equals 360/ 12 = 30.

So, The measure of each exterior angle of a regular polygon of 12 sides is equal to 30°.

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A theater is selling tickets to a play. adult tickets cost $8 each and children's tickets cost $5 each. they collect $275 after selling x adults tickets and y children's tickets. if they bought 25 adult tickets, how many children tickets did they buy?

Answers

If the theater bought 25 adult tickets and collected $275 in total, then they must have bought 15 children's tickets to reach that revenue amount.

Let's determine the number of children's tickets the theater bought based on the information provided.

We know that the theater collected a total of $275 from selling adult and children's tickets combined. We also know the price of an adult ticket is $8, and the price of a children's ticket is $5. Let's denote the number of adult tickets as "x" and the number of children's tickets as "y."

The total revenue collected can be calculated by multiplying the number of adult tickets by the price per adult ticket and the number of children's tickets by the price per children's ticket, and then summing the two amounts:

Total revenue = (Price per adult ticket * Number of adult tickets) + (Price per children's ticket * Number of children's tickets)

Since we already know the number of adult tickets (25), we can substitute the given values into the equation and solve for the number of children's tickets:

$275 = ($8 * 25) + ($5 * y)

Simplifying the equation:

$275 = $200 + $5y

Next, let's isolate the variable "y" by subtracting $200 from both sides of the equation:

$275 - $200 = $5y

$75 = $5y

To find the value of "y," we divide both sides of the equation by $5:

$75 / $5 = y

15 = y

Therefore, the theater bought 15 children's tickets.

In summary, if the theater bought 25 adult tickets and collected $275 in total, then they must have bought 15 children's tickets to reach that revenue amount.

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f(x) = -7x - 1 f()= -8

Answers

f(x) = -7x - 1

f()= -8

-7x - 1 = -8

-7x - 1 + 1 = -8 + 1

-7x = -7

-7x/-7 = -7/-7

The numbers -1/5 and -5 are 'negative reciprocals.' True or False?

Answers

Answer:

False

Step-by-step explanation:

The negative reciprocal of -1/5 would be 5, and the negative reciprocal of -5 is 1/5. A way to double-check is all negative reciprocals add to -1.

-1/5 + -5= -5 1/5

Hope this helps and you understand negative reciprocals more for future problems ahead.

Problem 1. (1 point) dy Find a solution to = dx = xy + 4x + 5y + 20. If necessary, use k to denote an arbitrary constant. help (equations)

Answers

The general solution to the given differential equation is y = (-9/5)x - 404/25 + k, where k is an arbitrary constant.

Rearrange the equation to bring all terms involving y on one side:

dy/dx - 5y = xy + 4x + 20

Calculate the integrating factor μ(x) using the formula:

$\mu(x) = e^{\int P(x)dx}$

P(x) = -5, so ∫P(x)dx = ∫(-5)dx = -5x

Therefore, μ(x) = $e^{-5x}$

Multiply both sides of the equation by μ(x):

$e^{-5x}dy/dx - 5^{-5x}y = xe^{-5x} + 4x^{-5x} + 20e^{-5x}$

Simplify the left side using the product rule:

$d/dx(\mu (x)y) = xe^{-5x} + 4xe^{-5x}+ 20e^{-5x}$

Integrate both sides with respect to x:

$\int d/dx(\mu (x)y) dx = \int (xe^{-5x} + 4xe^{-5x} + 20e^{-5x} ) dx$

Let's denote $\int xe^{-5x}$dx as I₁,

$\int 4xe^{-5x} dx$ as I₂, and

$\int 20e^{-5x}$ dx as I₃.

I₁: Integration by parts is needed.

∫u dv = uv - ∫v du

Let u = x and $dv = e^{-5x} dx.$

Then du = dx and v = ∫e⁻⁵ˣ dx = (-1/5)e⁻⁵ˣ

Applying the formula:

I₁ = uv - ∫v du

= x(-1/5)e⁻⁵ˣ- ∫(-1/5)e⁻⁵ˣ dx

= (-1/5)xe⁻⁵ˣ+ (1/25)e⁻⁵ˣ + k₁

I₂:

Using the substitution u = -5x and du = -5 dx, we can rewrite I₂ as:

$I_2= 4\int xe^{-5x} dx = 4(-1/5)\int ue^u du$

$= -4/5 \int ue^u du$

Let u = u and dv = $e^u$ du.

Then du = du and v = $e^u$ .

Applying the formula:

I₂ = -4/5 (uv - ∫v du)

= -4/5 (u $e^u$ - ∫ $e^u$ du)

= -4/5 (u $e^u$ - $e^u$ ) + k₂

= -4/5 (x+1)e⁻⁵ˣ + k₂

I₃:

Since ∫20e⁻⁵ˣ dx does not depend on x, it is simply:

I₃ = 20∫e⁻⁵ˣ dx = -4e⁻⁵ˣ + k₃

Substitute the results back into the equation:

e⁻⁵ˣy = (-1/5)xe⁻⁵ˣ + (1/25)e⁻⁵ˣ+ k₁ - (4/5)(x+1)e⁻⁵ˣ+ k₂ + (-4e⁻⁵ˣ+ k₃)

y = (-1/5)x - (4/5)(x+1) - 4 + (1/25) + k

Combining the constants:

y = (-1/5)x - (4/5)x - 4/5 - 4 + 1/25 + k

y = (-9/5)x - 4/5 - 4 + 1/25 + k

y = (-9/5)x - 404/25 + k

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1. The image below represents the dimensions of
Mike's Bike ramp in feet. How far does Mike have to
ride to reach the end of his ramp? Give the exact
distance.
V
5
10
SIMPLIFY THE RADICAL.

Answers

Answer:

V plus 5 is four

Step-by-step explanation:

dimensions of