PLS HELP PLS ITS MY BIRTHDAY!!

PLS HELP PLS ITS MY BIRTHDAY!!

Answers

Answer 1
I’m gonna try and solve it but happy birthday

Related Questions

1
2
3
4
5
The fair spinner shown in the diagram above is spun.
Work out the probability of getting a factor of 12.
Give your answer in its simplest form.

Answers

Answer:

4/5

Step-by-step explanation:

1, 2 , 3 and 4 are factors of 12

so 4 out of 5

4/5 is the probability of getting factor of 12

Find the ratio for each.
24
lo
х
26
sin x =
COS X =
tan x =
sin c =
COS C=
tan c =

Find the ratio for each.24lo26sin x =COS X =tan x =sin c =COS C=tan c =

Answers

I got you.

sin x = 24/26
cos x = 10/26
tan x = 24/10

sin c = 10/26
cos c = 24/26
tan c = 10/24

Apply the ratios for trigonometric functions for the above.
• sin = O/H
• cos = A/H
• tan = O/A

Good luck. If you have any other questions about trig, I should be able to answer them thoroughly.





3 - 2(9 + 2m) = m
Solve for m

Gracias por favor show your work

Answers

3 - 2 (9 +2m)
Distribute -2 through the parentheses
3 - 18 - 4m
Calculate that difference‼️
Subtract 3-18 which is -15 - 4
The answer is (-15 - 4m) I hope this helps :-)

Answer:

m = -3

Step-by-step explanation:

3 - 2(9 + 2m) = mSolve for m Gracias por favor show your work

Tamar's house is greater than 472 and less than 500 which number can be on Tamar's house?

Tamar's house is greater than 472 and less than 500 which number can be on Tamar's house?

Answers

490… I don’t know how to explain this without sounding condescending

490

472 <490<500

it fits the criteria

Anna ordered a large pizza with 2 toppings. What was the total cost of her pizza?

Answers

Answer: The cost of a large pizza with 2 toppings depends on the pizza place. Let's say the cost is $15 per pizza, and each additional topping costs $2.

Step-by-step explanation:

Assume each of the 8 drivers is required to contribute an equal share (equivalent to their share of the expected loss of the UConn Drivers pool) to the 8 person pool to cover losses. a. Would the people in North Campus choose to join the UConn Drivers pool? Why or why not? b. Would the drivers in Alumni Quad want to join the UConn Drivers pool? Why or why not? 7. Assume that each driver were required to contribute an amount proportional to their own expected loss (this means that if the actual losses of UConn Drivers were equal to the UConn Drivers expected loss, then North Campus drivers would contribute an amount equal to the North Campus expected loss and Alumni Quad would make a contribution equal to the Alumni expected loss) a. Would the people in North Campus choose to join the UConn Drivers pool? Why or why not? b. Would the drivers in Alumni Quad want to join the UConn Drivers pool? Why or why not? Extra Credit - 5 Points Gampel Insurance Company offers an insurance policy that the North Campus and Alumni drivers may purchase. There is no loading so the premium is the equal share as in Question 6. Gampel does not have any expenses and does not want to make a profit, just break even for the year. The actual losses for each of North Campus and Alumni Quad come in exactly at the expected loss. No additional calculations are necessary for this question. What will Gampel most likely experience for a financial result - a profit, break even or a loss? Why? 4. These four drivers are considering pooling their losses with another group of four uncorrelated drivers (Alumni Quad Drivers) facing a different loss distribution (for each driver in the group): a. What is the expected loss for each member of this new pool of Alumni Quad Drivers? b. What is the standard deviation of loss for each member of the Alumni Quad Drivers? 5. Now, the North Campus Drivers and Alumni Quad Drivers decide to all pool their risks, becoming a single pool of eight drivers ( UConn Drivers ). a. What is the expected loss for each member of this new 8-person pool (UConn Drivers)? b. The standard deviation for each member of UConn Drivers is complicated to calculate and you do not have to do so for this question. Directionally, how would you expect the standard deviation for the members of UConn Drivers to compare with the standard deviations of each of the smaller pools, North Campus Drivers and Alumni Quad Drivers (Higher/Lower/No Change). Why?

Answers

(a) People in North Campus would choose to join the UConn Drivers pool (b) Drivers in Alumni Quad would not choose to join the UConn Drivers pool

(a) People in North Campus would still choose to join the UConn Drivers pool if each driver contributes an amount proportional to their own expected loss. This is because the proportional contribution ensures that they only pay for their own losses, reducing their individual financial risk.

(b) Drivers in Alumni Quad would not choose to join the UConn Drivers pool if each driver contributes an amount proportional to their own expected loss. This is because their expected losses are higher than those in the UConn Drivers pool, and joining the pool would mean sharing the losses of drivers with lower expected losses, which would increase their financial burden.

Gampel Insurance Company is expected to break even for the year because the actual losses for both North Campus and Alumni Quad drivers come in exactly at the expected loss. Since there are no additional expenses or profits, the premiums collected from the drivers will cover the expected losses, resulting in a break-even financial result for Gampel Insurance Company.

(a) The expected loss for each member of the new pool of Alumni Quad Drivers would be equal to the expected loss of the individual drivers in the Alumni Quad group.

(b) The standard deviation of loss for each member of the Alumni Quad Drivers would be equal to the standard deviation of loss of the individual drivers in the Alumni Quad group.

(a) The expected loss for each member of the new 8-person pool (UConn Drivers) would be the sum of the expected losses of the individual drivers from both North Campus and Alumni Quad.

(b) Directionally, the standard deviation for the members of the UConn Drivers pool would be lower than the standard deviations of each of the smaller pools (North Campus Drivers and Alumni Quad Drivers). Combining the risks of the drivers from different pools helps diversify the overall risk, resulting in a lower overall standard deviation compared to the individual pools.

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point A is at (3,4) and point M is at (5.5,0) . M is the midpoint between point A and point B. What are the coordinates for Point B

Answers

Answer:

(8, -4)

Step-by-step explanation:

SOMEONE JUST GIVE ME THE ANSWER

SOMEONE JUST GIVE ME THE ANSWER

Answers

Answer: I thought I saw options in the corner could you give me the options? And then I'll give my answer in the comment box;) no worries we'll figure it out!! :)

Step-by-step explanation:

Answer:

Area is 68x^2 the missing number by 3x is 5 and the missing number at the bottom is 4.

Step-by-step explanation:

Help me please I am having trouble figuring out the answer. Help me find the ratio.

Help me please I am having trouble figuring out the answer. Help me find the ratio.

Answers

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Which of the following statements is false concerning either of the Allowable Increase und Alle Decrease columns in the Sensitivity Report? The values equate the decision variable profit to the cost of resources cxpended The values provide a means to recognize when alternate optimal solution exist. The values give the range over which an objective function coefficient can change without dans the optimal solution The values give the range over which a shadow price is accurate.

Answers

Answer:

Step-by-step explanation:

The false statement concerning either the Allowable Increase or Allowable Decrease columns in the Sensitivity Report is: "The values equate the decision variable profit to the cost of resources expended."

The Allowable Increase and Allowable Decrease columns in the Sensitivity Report provide important information about the sensitivity of the optimal solution to changes in the model parameters. Specifically, they help determine the range over which an objective function coefficient or a constraint's right-hand side (resource value) can change without impacting the optimal solution.

However, the statement that the values in these columns equate the decision variable profit to the cost of resources expended is false. The Allowable Increase and Allowable Decrease values do not directly relate to the decision variable profit or the cost of resources expended. Instead, they provide insights into the flexibility or sensitivity of the model's solution to changes in specific parameters. They allow for understanding when alternate optimal solutions exist and provide guidance on the acceptable range of changes for objective function coefficients or shadow prices without affecting the optimal solution.

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Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy.

A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39.
Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg
Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg
The 12-egg carton has the lower unit cost, so it is the better buy.

What was her first error?
She should have divided the cost of the carton by the number of eggs to find the price per egg.
She should have divided the number of eggs by the cost of the carton to find the price per egg.
She made a computational error when multiplying to find the unit price of the two cartons.
She made an error in choosing the eggs with the lower unit cost to be the better buy.

Answers

Answer:

She should have divided the cost of the carton by the number of eggs to find the price per egg.

Covert °F to °C .
(*SHOW YOUR WORK*)

6) 82°F to °C = ___________

7) 104°C to F =____________

8) 68°F to C = ____________

9) 47°C to F =_____________​

Answers

Answer:

6 ≈ 27.78C

7 = 219.2F

8 = 20C

9 = 116.6F

Step-by-step explanation:

6. From the formula C/5 = (F-32)/9

     We get C/5 = (82-32)/9

     C = (50/9)*5

     C ≈ 27.78

7. From the formula C/5 = (F-32)/9

     We get 104/5 = (F-32)/9

     F-32 = 104/5 * 9

     F-32 = 187.2

     F = 219.2

8. From the formula C/5 = (F-32)/9

    We get C/5 = (68-32)/9

     C/5 = 36/9

     C/5 = 4

     C = 5 * 4

     C = 20

9. From the formula C/5 = (F-32)/9

    We get C/5 = (F-32)/9

     47/5 = (F-32)/9

     (47/5)*9 = (F-32)

     84.6 = F-32

     F = 84.6 + 32

     F = 116.6

Formula Used

Temperture Conversion

C/5 = (F-32)/9 = R/4 = (K-273)/5

C - Celcius, F - Fahrenheit, R - Rankine, K - Kelvin

Note

Please use the correct subject next time

6) 82°F to C°

Formula

(82°F − 32) × 5/9 = 27.78°C

82°F=27.78°C

7) 10°C to °F

Formula

(104°C × 9/5) + 32 =219.2°F

104°C =219.2°F

8) 68°F to C°

Formula

(68°F − 32) × 5/9 = 20°C

68°F=20°C

9) 47°C to °F

Formula

(47°C × 9/5) + 32 = 116.6°F

47°C =116.6°F

a)decrease 20 in the ratio 4:5
b) divide 392 in the ratio 3:4
c) increase 100 in the ratio 5:2 and 7:4
d). decrease 60 in the ratio 3:5 and 1:4 ​

Answers

a)  The ratio that is 20 less than 4:5 is 8.88 : 11.1

To decrease 20 in the ratio 4:5, we first need to find the total number of parts in the ratio:

4 + 5 = 9

Calculate the value of each part:

20 / 9 = 2.22

4 parts: 4 x 2.22 = 8.88

5 parts: 5 x 2.22 = 11.1

Therefore, the ratio that is 20 less than 4:5 is 8.88:11.1.

b) The ratio in which 392 is divided in the ratio 3:4 is 168 : 224.

To divide 392 in the ratio 3:4, we first need to find the total number of parts in the ratio:

3 + 4 = 7

Calculate the value of each part:

392 / 7 = 56

Multiply 56 by each part in the ratio:

3 parts: 3 x 56 = 168

4 parts: 4 x 56 = 224

Therefore, the ratio in which 392 is divided in the ratio 3:4 is 168:224.

c) Ratio for the first ratio is 79.45 : 30.58

The ratio for the second ratio is 50.45 : 18.18

We can follow the same as above for each ratio:

5  + 2= 7 parts

100 / 7 = 14.29

5 x 14.29 = 71.45

2 x 14.29 = 28.58

The new ratio for the first ratio is 79.45:30.58

7 + 4  = 11 parts

100 / 11 = 9.09

Increase for the second ratio:

5 x 9.09 = 45.45

2 x 9.09 = 18.18

New ratio for the second ratio: 50.45:18.18

d) Ratio for the first ratio is 22.5 : 37.5

The ratio for the second ratio is 12 : 48

3 parts + 5 parts = 8 parts

60 / 8 = 7.5

Decrease for the first ratio:

3 x 7.5 = 22.5

5 x 7.5 = 37.5

The new ratio for the first ratio: is 22.5:37.5

1 + 4 = 5 parts

60 / 5 = 12

Decrease for the second ratio:

1 x 12 = 12

4 x 12 = 48

New ratio for the second ratio: 12:48

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Henry buys an item for $4.23. He gives the cashier a $20 bill. How much money should Henry get back?

Answers

Answer:

Henry will get $15.77 back.

Step-by-step explanation:

20 - 4.23 = 15.77

Marissa has $800 in her checking account on July 1. She is paid w dollars per week from her part-time job each week. She will need to spend the following amounts of money during the month:  g dollars per day for gasoline  f dollars per day for food  c dollars every two weeks for new clothing  $350 once per month for rent Write an equation that Marissa can use to determine how much money she will have in her account on July 30. Let A represent the amount of money she will have on July 30.

Answers

Answer:

A = $800 -$350 -30w-30f-2c

Step-by-step explanation:

Given

Total  sum of money in account of Marissa on July 1 - $800

Sum of money earned per week = $w

Money spend of following -

gasoline - $g per day

Food - $f per day

New clothes every two week - $c

Rent per month - $350

Total  sum of money in account of Marissa on July 1

A = $800 -$350 -30w-30f-2c


O Rachel was checking the weight of a gold nugget and a piece of fool's gold. Together
they weighed 120.5 grams. If the fool's gold was 23.90 grams, how much did the gold
nugget weigh?

Answers

Answer:

96.6

Step-by-step explanation:

120.5 subtracted by 23.90 give you how much the gold nugget weight.

It costs $2 to download a song and $12 to download an entire album. Jorge has $50 to spend on downloading music. Create an inequality that represents the number of songs (s ) and albums (a ) that Jorge could download.

Answers

The inequality that represents the number of songs and albums that Jorge could download is:

$2*s + $12*a ≤ $50

How to write the inequality?

Here we have the variables:

s = number of songs.

a = number of albums.

Then the total cost can be written as:

$2*s + $12*a

And we know that Jorge has a maximum of $50 to spend, so the total cost can be equal to or smaller than $50, so the inequality is:

$2*s + $12*a ≤ $50

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Which of the following terms best describes the red line segment in the
ellipse shown below?
O A. Center
O
B. Focus
O
C. Minor axis
D. Major axis

Which of the following terms best describes the red line segment in theellipse shown below?O A. CenterOB.

Answers

The term that best describes the red line segment of the ellipse is minor axis . C

What is an eclipse?

An eclipse can be defined as an astronomical event that occurs when an object or spacecraft is obscured as the shadow of another body passes or when another body pass between it and an observer.

The axis of an eclipse could major or minor.

The minor axis of an ellipse is the line that contains the shorter part of the two line segments about which the ellipse is symmetrical.  It is perpendicular to the major axis and passes through the center of the axis.

Therefore, the term that best describes the red line segment of the ellipse is minor axis . C

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I'm not sure what this is can anyone lend a hand?

I'm not sure what this is can anyone lend a hand?

Answers

Answer:

38 minutes

Step-by-step explanation:

You have to see how long between the beginning time and ending time.

Hope this helps.

38 minutes
There are 60 minutes in an hour.
At 5:34 we are 34 minutes into the hour.
60(minutes in an hour) - 34 minutes is 26.
At 6:12 we are 12 minutes into the hour.
12 + 26 = 38

Which equation represents exponential growth?

Which equation represents exponential growth?

Answers

Answer:

D

Step-by-step explanation:

exponential function is: f(x)=b^x

the function represents exponential growth when b>1

A)b=0.84 < 1 this function decay

B) not exponential function

C) not exponential function

D) b=1.06 >1 growth

Joe is shown 3 cards marked 2 ,5, and 9, he selects these in random order, to give a three digit score. What is the sum of all possible scores

Answers

Answer:

3,552

Step-by-step explanation:

The possible scores are

259, 295,529, 592, 952, 925

These are all the possibilities from his selection. Hence the sum of all possible scores may be computed as

= 259 +295 + 529 + 592 + 952 + 925

= 3,552

the sum of all possible scores is 3,552


The Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky. Describe the type of lines formed by the bridge and the river.

Answers

The Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky,  the lines formed buy the bridge and the river is skew lines

Given,

The situation, the Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky.

The line formed by the bride and the river that do not intersect and are not coplanar

So, those are skew lines

Hence, the Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky,  the lines formed buy the bridge and the river is skew lines

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4. What is the mass of a truck if it produces a force of 14,000N while accelerating at a rate of
5 m/s2

Answers

2800 is the mass of the truck

Which ordered pair is the best estimate for the solution to the system?

Which ordered pair is the best estimate for the solution to the system?

Answers

The ordered pair that is the best estimate for the solution to the system is (0.5, -3.5)

Ordered Pair:

An ordered pair refers to a set of two numbers used to locate a point in a coordinate plane. Here the first point refers the x - coordinate and the second value represents the y - coordinate.

Given,

Her we have the equations,

3x - 8y = 29

3x + y = -2

Now, we need to find the solution of the system.

Here we have to use the substitution method in order to solve this one.

For that, we have to rewrite the second equation as,

y = -2 - 3x.

Now, we have to apply the value of y on the equation (1), then we get,

3x - 8(-2 - 3x) = 29

3x + 16 + 24x = 29

27x = 29 - 16

27x = 13

x = 13/27

x = 0.5

When we apply the value of x into the equation, then we get the value of y  as,

y = -2 - 3(0.5)

y = -2 - 1.5

y = -3.5

Therefore, the solution of the system is (0.5, - 3.5).

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what is 4xy - 5y² - 3x² from 5x + 3y² - xy ? ​

Answers

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The equivalent expression is ~

\( \boxed{ \sf8 {y}^{2} + 3 {x}^{2} + 5x - 5xy}\)

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

Let's solve ~

\(5x² + 3 {y}^{2} - xy - (4xy - 5y {}^{2} - 3 {x}^{2} )\)

\(5x² + 3 {y}^{2} - xy - 4xy +5 {y}^{2} + 3 {x}^{2} \)

\(3 {y}^{2} + 5 {y}^{2} + 3 {x}^{2} + 5x² - xy - 4xy\)

\(8 {y}^{2} + 8 {x}^{2} - 5xy\)

A recipe states that chicken needs to be cooked for 15 minutes per kg plus an extra 40 minutes. Express the relationship between mass and cooking time using function notation, and define the domain and range.

A recipe states that chicken needs to be cooked for 15 minutes per kg plus an extra 40 minutes. Express

Answers

For the given statement, the domain and range are - Domain : x ,Range : f(x)  40.

What does a notation in mathematics mean?

In mathematical notation, symbols are used in expressions and formulas to represent operations, unnamed numbers, relations, and any other mathematical objects. In mathematics, science, and engineering, mathematical notation is frequently used to communicate complicated ideas and properties in a clear, unambiguous manner.

A notation is a set of clear guidelines for using symbols to describe numbers and actions.

The sum of numerous linked terms is frequently represented by the sign (capital sigma) in shorthand notation. In statistics, sigma notation is frequently employed.

For each dividend number, the extended notation division method merely repeats the division, multiplication, and subtraction operations.

Given data :

x is the mass of the chicken (in kg)

f(x) : the cooking time ( in minutes )

Domain : x

Range : f(x)  40

f(x) = 15x + 40 - 15 minutes per kg (x) plus 40 more minutes

f (1) = 15 x 1 + 40 = 55

A 1 kg chicken needs 15 min + 40 min = 55 min

f (2) = 15 x 2 + 40 = 70

A 2 kg chicken needs 30min + 40 min = 70 min

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Demetri is a participant in an auditory detection study using the method of constant stimuli. He never detects the 10 unit tone. He detects the 20 unit tone 25% of the trials. He detects the 30 unit tone 50% of the trials. He detects the 40 unit tone 80% of the trials. He detects the 50 unit tone 95% of the trials. His threshold for hearing tones would be taken as the 10 unit tone. 20 unit tone. 30 unit tone. 40 unit tone. 50 unit tone

Answers

The 30 unit tone is the stimulus intensity at which Demetri detects the tone in 50% of the trials. This indicates that it is the level at which the auditory stimulus is perceptually just above the threshold of his hearing.  The correct answer is: 30 unit tone.

In an auditory detection study using the method of constant stimuli, the threshold for hearing is typically defined as the stimulus intensity at which a participant detects the stimulus on a certain percentage of trials. In this case, Demetri's threshold for hearing tones would be determined based on the detection rates for different stimulus intensities.

Given the information provided:

- Demetri never detects the 10 unit tone.

- He detects the 20 unit tone 25% of the trials.

- He detects the 30 unit tone 50% of the trials.

- He detects the 40 unit tone 80% of the trials.

- He detects the 50 unit tone 95% of the trials.

Based on this data, we can observe that Demetri's detection performance improves as the stimulus intensity increases. The threshold for hearing is typically defined as the stimulus intensity at which the participant detects the stimulus on 50% of the trials. In this case, Demetri detects the 30 unit tone on 50% of the trials, indicating that it corresponds to his threshold for hearing.

Therefore, the correct answer is: 30 unit tone.

The 30 unit tone is the stimulus intensity at which Demetri detects the tone in 50% of the trials. This indicates that it is the level at which the auditory stimulus is perceptually just above the threshold of his hearing. Stimulus intensities below 30 units (such as the 10 unit and 20 unit tones) fall below his threshold and are not detected reliably. On the other hand, stimulus intensities above 30 units (such as the 40 unit and 50 unit tones) are detected with higher percentages, indicating that they are clearly audible to him.

By determining the threshold for hearing, researchers can understand the sensitivity of an individual's auditory system and make comparisons across participants or study conditions. In this case, Demetri's threshold is identified as the 30 unit tone, indicating the minimum stimulus intensity he can reliably detect.

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6.7 problem 7
Suppose P=f(t) is the population (in thousands) of town t years after 1990, and that f(7)=15 and f(12)=25,

(a) Find a formula for f(t) assuming f is exponential in the form ab^t. Use 5 decimal places for a & b: P=f(t)=

(b) Find a formula for f−1(P)=

(c) Evaluate f(45)=

(d) f−1(45)=

Write out sentences to explain the practical meaning of your answers to parts (c) and (d). Consider the seven numbered statements in the list below:

The town's population in 2045 is f(45) people.
The town's population has grown by f(45) people over a 45 year period.
The town's population in 2035 is f(45) people.
The town's population will reach 45,000 people in f−1(45) years after 1990.
The town's population will reach 45,000 people in f−1(45) years from now.
The town's population will reach 45 people in f−1(45) years after 1990.
The town's population in 2035 is f(45) thousand people.

(e) Which statement above explains the meaning of your answer to (c)? (enter the number 1-7 of the correct statement).

(f) Which statement above explains the meaning of your answer to (d)? (enter the number 1-7 of the correct statement).

Answers

So the corresponding answers to these questions are:

\(A) a= 7.33657 \\ b= 1.10757\\B)f(t)^{-1} = log (7.33657)+ t*log(1.10757)\\C)728.10886\\D) 2.86219\)

For the letter a, it will be necessary to calculate the values ​​of a and b, therefore:

\(f(t)=a*b^{t} \\f(7)=15 \\ a*b^{7}=15\\a=\frac{15}{b^{7}} \\f(12)=25\\a= \frac{25}{b^{12}}\\\frac{15}{b^{7}} =\frac{25}{b^{12}}=> b^{5}= 1.66667=> b= 1.10757\\a=\frac{15}{b^{7}}=> a=7.33657\)

So for the letter B we will do the logarithm so we will have:

\(P=f(t)=ab^{t}=(7.33657)(1.10757)^{t} \\f(t)^{-1} = log (7.33657)+ t*log(1.10757)\)

For the letter C we will use the formula given in the statement just substituting the value of t=45:

\(f(t)=ab^{t} \\f(45)=(7.33657)(1.10757)^{45} = 728.10886\)

The formula calculated on the letter B will be useful for the letter D only having to substitute t=45, therefore:

\(f(45)^{-1} = log (7.33657)+ 45*log(1.10757)\\f(45)^{-1} = 2.86219\)

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the first term of a geometric sequence is 2 and the common ratio is 3 find the sum of the first 5 terms

Answers

Answer

(with step-by-step explanation):

[Find first the value of the 5th term.]

an = a1(r)^n-1

A5 = 2(3)^5-1 = 2(3)⁴ = 2(81) = 162

[Use the formula in finding sum of terms in Geometric Sequence]

Sn = [a1 - an(r)] / 1 - r

[Substitute the given values]

S5 = [2 - 162(3)] / 1 - 3

= 2-486 / -2 = -484/-2 = 242

• Therefore, the answer is Letter B, 242.

This question was already answered by another so i copied it so you would not have to go to that question. :)

Ms. Lauren Alexander, supply chain manager of ACR, Inc., is negotiating a contract to buy 25,000 units of a common component from a global supplier. Ms. Alexander conducted a thorough cost analysis on manufacturing the part in-house and determined that she would need $450,000 in capital equipment and incur a variable cost of $19.00 per unit to manufacture the part in-house. There is no fixed cost in purchasing the component from the supplier. What is the maximum purchase price per unit of component that Ms. Alexander should negotiate with her supplier?

Answers

The maximum purchase price per unit of the component that Ms. Alexander should negotiate with her supplier is $19.00, which is equal to the variable cost per unit to manufacture the part in-house.

In this scenario, Ms. Alexander needs to determine the maximum price per unit that she should be willing to pay the supplier for the component. She conducted a cost analysis and found that manufacturing the part in-house would require $450,000 in capital equipment and have a variable cost of $19.00 per unit.

Since there is no fixed cost associated with purchasing the component from the supplier, the maximum purchase price per unit should not exceed the variable cost per unit of manufacturing in-house. This ensures that the company does not incur additional costs by outsourcing the component.

Therefore, Ms. Alexander should negotiate a price with the supplier that is equal to or lower than the variable cost per unit, which is $19.00. By doing so, the company can avoid the initial capital investment and ongoing variable costs associated with in-house production, making it more cost-effective to purchase the component from the supplier.

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