in exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base exponent were 1? How would the function change if the base of the exponent were between 0 and 1?

Answers

Answer 1

Answer:

GREAT QUESTION!!

Step-by-step explanation:

Bases of exponential functions CANNOT be 1.

It the base was between 0 and 1, .25 for example, then it would be exponential decay, because as x would increase y would decrease.

Just search up exponential decay to see what it looks like, or type in y=.25^x in google search bar.

if this helped, Please give brainly, I need it! Thank you!

Answer 2

Answer:

If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

Step-by-step explanation:

If the base were 1, the function would be constant.

If the base were 1, the graph would be a horizontal line.

If the base were between 0 and 1, the function would be decreasing.


Related Questions

How to do this question plz answer me step by ​

Answers

Answer:

481.92

Step-by-step explanation:

First find the increase

466.98 * 3.2%

466.98 * .032

14.94336

Add this to the original amount

466.98+14.94336

481.92336

Round to 2 decimal places

481.92

Mr. Evans is considering offering a second after-school tutoring session for his math students each week. He records the number of students who attend his current sessions each week. The results from the last twelve weeks are shown in the dot plot below.

Answers

Answer:

The correct options are:

Four families said they ate out twice the previous week.

One family said they ate out 5 times the previous week.

The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner    Number of families  

          0                                                          2

          1                                                           3

          2                                                          4

          3                                                           1

          4                                                           2

          5                                                           1

          6                                                            1

Hence, the range of the number line is between 0 to 6.

Also there are 4 dots above 2.

   Hence,  Four families said they ate out twice the previous week.

Also there is one dot above 5.

       Hence,  One family said they ate out 5 times the previous week.

The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

Hope it helped u!.... Btw can u plz mark me BRAINLIEST.. If it helped u?

Tysm!

Answer: The data is skewed left option c

Step-by-step explanation: A set of data is skewed when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the data lies to the right. Therefore, the data is skewed left.

add 2 hours 40 minutes to 11 hours 40 minutes ​

Answers

Answer:

14 hours and 20 minutes

Step-by-step explanation:

11 hours + 2 hours = 13 hours

40 minutes + 40 minutes = 1 hour and 20 minutes

Then you add the answers together

13 hours + 1 hour 20 minutes = 14 hours and 20 minutes

Hope this helps

Answer:

860min or 13:80=14:20=2:20

Step-by-step explanation:

1 hour=60min

2 hours=120min

So, we will add 120min to 40 min

120min+40min=160min

1hour=60min

11hour=660min

So we will add 660min to 40min

660min+40min=700min

160min+700min=860min

2:40

+11:40

13:80

Hope this helps ;) ❤❤❤

Rory records the percentage of battery life remaining on his phone throughout a day. The battery life decreases as Rory uses the phone, but will increase or stay at 100% while charging. The graph represents the percentage of battery life remaining after a certain number of hours.

A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours.

At which times could Rory's phone have been plugged into the charger? Select three options.

Answers

Answer:

9 hours

11 hours

19 hours

Step-by-step explanation:

The graph represents the percentage of battery life remaining after a certain number of hours is attached below.

At which times could Rory's phone have been plugged into the charger? Select three options.

6 hours

9 hours

11 hours

14 hours

19 hours

Answer: From the graph, the line segment with negative slope (that is decreasing value) shows that the phone is not plugged but being used while the line segment with positive slope (increasing value) or stays at 100% shows that the phone is plugged to the charger.

As shown, from 0 to 8 hours their is a decreasing value, the phone is not plugged. From 8 to 10 hours their is an increasing value therefore the phone is plugged also from 10 to 12 hours the phone is plugged since it is constant. From 12 to 16 hours it is not plugged. From 16 to 18 hours it is plugged and from 18 to 20 hours it is plugged.

From the options it is plugged at 9 hours, 11 hours and 19 hours

Answer:

B - 9 HOURS

C - 11 HOURS

E - 19 BHOURS

Step-by-step explanation:

i took the test

A blueprint for a house has a scale factor n = 35. A wall in the blueprint is 10 in. What is the length of the actual wall?

29.17 in.
29.17 feet
350 feet
4,200 feet

Answers

Answer:

29.17 feet

Step-by-step explanation:

10 x 35 = 350 in. / 12 in/ft = 29.17 feet

The length of the actual wall is 29.17 feet. The correct answer is option B.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

It is given that the blueprint for a house has a scale factor of n = 35. A wall in the blueprint is 10 in.

The length of the actual wall is calculated as:-

L = 10 x 35

L = 350 in. / 12 in/ft

L= 29.17 feet

Therefore, the length of the actual wall is 29.17 feet. The correct answer is option B.

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Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.75) = 78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?

Answers

Answer:

The error she made was that she was adding x and 2.75. She should subtract 2.75 from x.

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Step-by-step explanation:

The error she made was that she was adding x and 2.75.

She should write the equation as 8 (x - 2.75) = 78; as she spends $2.75 to make a necklace.

By using the correct equation: 8 (x - 2.75) = 78

=> 8x - 22 = 78

=> 8x = 78 + 22

=> 8x = 100

=> x = 100/8

=> x = 12.5

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Hope this helps you.

Answer:

C

Step-by-step explanation: Nice

HELP ASAP
[tex]Given that $33^{-1} \equiv 77 \pmod{508}$, find $11^{-1} \pmod{508}$ as a residue modulo 508. (Give an answer between 0 and 507, inclusive.)[/tex]

Answers

Answer: 231

===================================================

Work Shown:

[tex]33^{-1} \equiv 77 \text{ (mod 508)}\\\\(3*11)^{-1} \equiv 77 \text{ (mod 508)}\\\\3^{-1}*11^{-1} \equiv 77 \text{ (mod 508)}\\\\3*3^{-1}*11^{-1} \equiv 3*77 \text{ (mod 508)}\\\\11^{-1} \equiv 231 \text{ (mod 508)}\\\\[/tex]

Notice how 33*77 = 2541 and 11*231 = 2541

[tex]2541 \equiv 1 \text{ (mod 508)}[/tex] since 2541/508 has a remainder of 1.

So effectively [tex]33*77 \equiv 1 \text{ (mod 508)}[/tex] and [tex]11*231 \equiv 1 \text{ (mod 508)}[/tex]

The weight of a box varies directly as the volume of the box. If a 138-pound box has a volume of 23 gallons, what is the weight of a box that has a volume of 25 gallons? A. 31 pounds B. 150 pounds C. 138 pounds D. 29 pounds

Answers

Answer:

150 pounds

the weight is directly proportional to the volume. hence:

138/23 = 6

now, 25*6 = 150

Answer:

B. 150 pounds

Step-by-step explanation:

wyatt uses 3.15 cups of flour in a recipe that makes 9 shortcakes. Cora uses 2.4 cups of flour in a recipe that makes 8 shortcakes. How much more flower per shortcake is needed for Cora's recipe?

Answers

Answer:

0.3

Step-by-step explanation:

You have to divide 2.4 ➗ 8

Sam ran 63,756 feet in 70 minutes. What is Sam's rate in
miles per hour? (There are 5,280 feet in one mile.)
Step 1: What is Sam's rate as stated?
63,756 feet
63, 756 ft
70 min
70 minutes
Step 2: What factor is used to convert feet per minute into
miles per minute?
Step 3: what factor is used to convert miles per minute to miles per hour

Answers

Answer:

10.35 miles per hour

Sam's rate as stated is 63,756 feet per 70 minutes

Divide by 5,280 feet

Divide by 60 minutes

Step-by-step explanation:

1. Find how many feet Sam ran in one minute

63,756 ÷ 70 = 910.8 ft.

2. Find how many feet he ran in one hour

910.8 · 60 = 54,648 ft.

3. Convert the feet to miles

54,648 ÷ 5280 = 10.35

Step 2: There are 5280 feet in one mile. Therefore, you would divide by 5280 feet to convert feet per minute into miles per minute.

Step 3: There are 60 minutes in one hour. Therefore, you would divide by 60 minutes to convert miles per minute to miles per hour.

Answer:

1: 63,756 and 70 mins

2: 1 mile and 5,280 feet

3: 60 mins and 1 hour

4: 10.35

1. The cost of buying some books is partly constant and partly varies with the number of books bought. The cost is #4800 when 20 books are bought and #8000 when 40 are bought. Find the cost when 1000 books are bought

Answers

Answer:

Step-by-step explanation:

let the cost based on number of book bought be x and the constant be c:

4800 = 20x + c

8000 = 40x + c

c is common in both equations:

c =4800-20x

c = 8000-40x

equate the two:

4800-20x = 8000 - 40x

20x = 3200

x = 160

and c = 4800-20*160

c = 1600

Cost of 1000 books:

160*1000 + 1600

= 161600

Help please and explain

Answers

Answer:

30 ft

Step-by-step explanation:

We can use ratios

3              6

------ = ------------

15            x

Using cross products

3x = 6*15

Divide each side by 3

3x/3 = 6*15/3

x = 30

Answer:

30 ft

Step-by-step explanation:

6/3 = x/15

2 = x/15

2×15 = x

30 = x

Which of the following are natural numbers? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. A.) only B.) −1,−2,−3,… C.) 7,8,9,… D.) fractions E.) 22

Answers

Answer:

Option C and option E

Step-by-step explanation:

C.) 7,8,9,…

E.) 22

Natural numbers are also called counting numbers.

They begin from 1, 2, 3 to infinity.

Natural numbers are greater than zero (0)

They do not have decimal point in them.

They are positive integers, as such they do not have minus

Natural numbers can include commas when they are large like 3,000

Solve for x.

3(x + 2) = 12

x=2
x=33
x=4 2/3
x=6

Answers

Answer:

x=2

Step-by-step explanation:

3(x + 2) = 12

Distribute

3x+6 = 12

Subtract 6 from each sdie

3x+6-6 = 12-6

3x = 6

Divide by 3

3x/3 = 6/2

x=2

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 2

▹ Step-by-Step Explanation

3(x + 2) = 12

Distribute:

3x + 6 = 12

Subtract 6 from each side:

6 - 6 = 0

12 - 6 = 6

Rewrite:

3x = 6

Divide each side by 3:

3/3 = x

6/3 = 2

x = 2

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━


Solve for u.
– 22 = -8u + 6(u-7)
Simplify your answer as much as possible.

Answers

Step-by-step explanation:

- 22 = -8u + 6(u-7)

-22 = -8u + 6u - 42

8u - 6u = 22 - 42

2u = -20

u = -20/2

u = -10

Answer:

[tex] \boxed{ \boxed{ \mathrm{ \bold{ \blue{ - 10}}}}}[/tex]

Step-by-step explanation:

[tex] \mathrm{ - 22 = - 8u + 6(u - 7)}[/tex]

Distribute 6 through the parentheses

⇒[tex] \mathsf{ - 22 = -8u + 6u - 42}[/tex]

Collect like terms

⇒[tex] \mathrm{ - 22 = - 2u - 42}[/tex]

Swap the sides of the equation

⇒[tex] \mathrm{ -2u - 42 = - 22}[/tex]

Move constant to R.H.S and change it's sign

⇒[tex] \mathrm{ - 2u = - 22 + 42}[/tex]

Calculate

⇒[tex] \mathrm{ - 2u = 20}[/tex]

Divide both sides of the equation by -2

⇒[tex] \mathrm{ \frac{ - 2u}{ - 2} = \frac{20}{ - 2} }[/tex]

Calculate

⇒[tex] \mathrm{u = - 10}[/tex]

Hope I helped!

Best regards!

**Yoxelt buys 4 1/2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxelt buy? Show all work below.

Answers

Answer:

  1 1/8

Step-by-step explanation:

1/4 of the 4 1/2 gallons were Pepsi, so the amount is ...

  (1/4)(9/2) = (1·9)/(4·2) = 9/8 = 1 1/8

Yoxelt bought 1 1/8 gallons of Pepsi.

3x/4 - 5 = 10

I need help solving this equation someone please help

Answers

Answer:

x = 20

Step-by-step explanation:

Hello!

What we do to one side we have to do to the other

3x/4 - 5 = 10

Add 5 to both sides

3x/4 = 15

Multiply both sides by 4

3x = 60

Divide both sides by 3

x = 20

The answer is x = 20

Hope this helps!

Answer:

20

Step-by-step explanation:

3x/4 - 5 = 10

3x/4      = 10 + 5

3x/4      = 15

3x         = 15 * 4

3x         = 60

x           = 60/3

x           = 20

Christine, Dale, and Michael sent a total of 71 messages during the weekend. Dale sent 9 fewer messages than Christine. Michael sent 2 times as many messages as Christine. How many messages did they each send?

Answers

Answer:

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Step-by-step explanation:

Christine, Dale, and Michael sent a total of 71 messages

C + D + M = 71

Dale sent 9 fewer messages than Christine

D = C - 9

Michael sent 2 times as many messages as Christine

M = 2C

Plug-in the numbers.

C + C - 9 + 2C = 71

4C - 9 = 71

4C = 80

C = 20

Now, plug in to other equations for other results.

D = (20) - 9

D = 11

M = 2(20)

M = 40

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Verify?

40 + 20 + 11 = 71.

The graph of function f is shown. Function g is represented by the table. Which statement correctly compares the two functions?

Answers

Answer:

Option (A)

Step-by-step explanation:

Graph of function 'f' represents,

x - intercept of the function 'f' → (1, 0)

y - intercept of the function → (0, 6)

As x-approaches ∞, value of the function approaches (-2)

Points in the given table is for the another function 'g'

x - intercept of the function 'g' → (1, 0) [For x - intercept, y = 0]

y - intercept of the function 'g' → (0, 3) [For y - intercept, x = 0]

As x approaches ∞, value of function 'g' approaches (-1).

Therefore, x - intercepts of both the functions are same but end behavior are different when x → ∞.

Option (A) will be the answer.

Write 1.4888.. in form of p/q

Answers

Let x = 1.4888... .

Then 10x = 14.888... and 100x = 148.888..., so that

100x - 10x = 148.888... - 14.888...

90x = 147

x = 147/90 = 49/30

On a coordinate plane, a triangle has points (negative 5, 1), (2, 1), (2, negative 1).
Use the drop downs to answer the following questions about the distance between the points (−5, 1) and (2, −1).

What is the distance of the horizontal leg?

What is the distance of the vertical leg?

Use the Pythagorean theorem. What is the distance between the two points?

Answers

Answer:

The answer is below

Step-by-step explanation:

The points of the triangle are  (- 5, 1), (2, 1), (2, - 1). The distance between two points is given by:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The horizontal leg is formed by points with the same y axis. Therefore the points that make up the horizontal leg is (- 5, 1), (2, 1). The Distance of the horizontal leg is:

[tex]Horizontal\ leg=\sqrt{(2-(-5))^2+(1-1)^2}=\sqrt{7^2+0}=7\ units[/tex]

The vertical leg is formed by points with the same x axis. Therefore the points that make up the vertical leg is (2 1), (2, 1-). The Distance of the vertical leg is:

[tex]Vertical\ leg=\sqrt{(2-2)^2+(-1-1)^2}=\sqrt{0+(-2)^2}=2\ units[/tex]

The hypotenuse is gotten using Pythagorean theorem. It is gotten by:

Hypotenuse² = (Horizontal leg)² + (Vertical leg)²

Hypotenuse² = 7² + 2²

Hypotenuse² = 49 + 4 = 53

Hypotenuse = √53

Hypotenuse = 7.28 unit

Answer:

The answer are 7, 2 and 53

Step-by-step explanation:

Thomas had 19 problems correct of the 25 problems on a recent math quiz. What percent of the
problems on the quiz did he answer correctly?
A.
24%

B. 36%

C. 76%

D.95%

Answers

Hey There!!

Your best choice is 76%

Because, 19/25 = x/100

25x = 1900

x = 76

°He got 76% correct!!°

By °Itsbrazts°

Answer:

76%

Step-by-step explanation:

Thomas got 19/25 marks.

** Note: Percents are always out of 100.

We don't know how many marks he got out of 100.

=> 19/25 = x/100

There are two ways to solve it from now.

=> Multiply 19 and 100; 25 and x

=> 25x = 1900

Next, Divide 25 on each side.

=> 25x/25 = 1900/25

=> x = 76

He got 76% on the quiz.

Another way is:

=> 19/25 = x/100

=> We need to divide 25 from 100.

=> We get 4.

So, 25 x 4 = 100

=> 19 x 4 = x

=> x = 76

He got 76% on the quiz.

Both ways are correct.

*PLEASE ANSWER ASAP* What is the total volume of the cube below?

Answers

Answer:

V = 125 cu.

Step-by-step explanation:

Since volume = L x W x H -->

Plug the numbers in --> 5 x 5 x 5 (5 cubed) -->

25 x 5 = 125

Thus, the total volume of this cube is 125 cu.

Hope this helps!

Answer:

The answer is option A

Step-by-step explanation:

Volume of a cube = l³

where l is the length of one side

From the question

there are 5 squares on each side of the cube

So l = 5 units

Volume of the cube = 5³

We have the final answer as

Volume = 125 cubic units

Hope this helps you

4x
5.
If 7:5 = (x + 2y): (x - y), find the value of
5y

Answers

Answer:

5/2 OR 2.5

Step-by-step explanation:

( x + 2y ) = 7 , ( x - 2y ) = 5

x = 7 - 2y , x = 5 + 2y

substitute the two eqns together:

7 - 2y = 5 + 2y

7 - 5 = 2y + 2y

2 = 4y

y = 1/2

when y = 1/2 ,

5y = 5(1/2)

= 5/2 OR 2.5

Find the greatest common factor for each of the following expressions, then factor each expression. a. 4p – 4 = ? b. x4 + x3 + x2 = ? c. 8p2 + 9p2q = ? d. x2y2 + 3xy – 4x – 2x4y3 = ? Factor each of the following expressions. a. 4a3 + 28a2 + 4a + 28 = ? b. x3 + 3x2− 2x − 6 = ? c. 8x2− 4xy + 2x − y = ? Factor each of the following, using the difference of perfect squares where possible. a. u2 – 100 = ? b. 4a2 − 49 = ? c. 81 − y2= ? d. 16q4− 16 = ? e. 9c3− 9c = ? f. 48a2b − 12b = ?

Answers

Answer:

1. a. Greatest common factor: 4

b. Greatest common factor: x2

c. Greatest common factor: p2

d. Greatest common factor: x

2. a. (a2 + 1)(4a + 28)

b. (x + 3)(x2− 2)

c. (4x+ 1)(2x−y)

3. a. u2 – 100 = (u + 10)(u − 10)

b. 4a2 − 49 = (2a + 7)(2a − 7)

c. 81 − y2= (9 + y)(9 − y)

d. 16q4− 16 = 16(q4 − 1) 16 (q4 −1) = 16(q2 + 1) (q2− 1) = 16(q2 + 1) (q + 1) (q − 1)

e. 9c3− 9c = 9c (c2− 1) = 9c(c + 1)(c − 1)

f. 48a2b − 12b = 12b (4a2− 1) = 12b(2a + 1)(2a − 1)

Step-by-step explanation:

I got it at PennFoster

What is the DOMAIN for rational function?

Answers

Answer:

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 . To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x .

Step-by-step explanation:

i google this l M A O

A rational function's domain includes all real numbers x except those with a denominator of zero.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A rational function's domain includes all real numbers x except those with a denominator of zero. To locate these x values that are not in the domain of a rational function, set the denominator to zero and solve for x.

Hence, A rational function's domain includes all real numbers x except those with a denominator of zero.

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If the lengths of the legs of a right triangle are 3 and √10, what is the length of the hypotenuse?

Answers

Answer:

[tex]\sqrt{19}[/tex]

Step-by-step explanation:

We can use the pythagoren theorm (A^2 + B^2 = C^2) for right triangles, C being the hypotenuse.

3^2 + 10 = C^2

19 = C^2

C = [tex]\sqrt{19}[/tex]

The required length of the hypotenuse of triangle is √19.

Legs of right angle triangle is √10 and 3. Hypotenuse to be determine.

What are the legs in triangle?

Legs in right triangle refers to the perpendicular and base.

Hypotenuse = [tex]\sqrt{perpendicular^2+base^2}[/tex]
                   = [tex]\sqrt{3^2+\sqrt{10}^2 }[/tex]
                   = [tex]\sqrt{19}[/tex]

Thus, the required length of the hypotenuse of triangle is √19.

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Plz HELP !!!!! I would appreciate it!!!

Answers

Answer/Step-by-step explanation:

a. The sides of ∆ABC can be labelled as follows, taking θ as the reference point.

Adjacent = side AB

Opposite = side BC

Hypotenuse = side AC

b. I. "<B is an acute angle" => FALSE. It is a right angle (90°)

II. "The side opposite to <C is BC" => FALSE. The side opposite to <C is AB.

III. The side adjacent to <A is AB => TRUE

IV. The side opposite to <B is not the longest. => FALSE. It is the hypotenuse and the longest side.

c. Cos θ = [tex] \frac{adjacent}{hypotenuse} = \frac{AB}{AC} [/tex]

Tan θ = [tex] \frac{opposite}{adjacent} = \frac{BC}{AB} [/tex]

d. Sin C = [tex] \frac{opp}{hypo} = \frac{AB}{AC} [/tex]

Cos C = [tex] \frac{adjacent}{hypotenuse} = \frac{BC}{AC} [/tex]

Tan C = [tex] \frac{opp}{adjacent} = \frac{AB}{BC} [/tex]

Find the value of x.

Answers

Answer:

70°

Step-by-step explanation:

an inscribed angle is half of the intercepted arc

arc = 2(15) = 30

1/2(x - 30 ) = 20

x - 30 = 40

x = 70

Question 6(Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the
graph of y = f(x) with the graph of y = f(x) + 20?
The graph of y = f(x) will shift left 20 units.
The graph of y = f(x) will shift down 20 units.
The graph of y = f(x) will shift up 20 units.
The graph of y = f(x) will shift right 20 units.

Answers

Answer:

the graph will shift 20 units up

Other Questions
A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10sin( t ) N(newtons) and moves in a medium that imparts a viscous force of 2 N when the speed of the mass is 4 cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 3 cm/s, formulate the initial value problem describing the motion of the mass. A)Find the solution of the initial value problem in the above problem. B)Plot the graph of the steady state solution C)If the given external force is replaced by a force of 2 cos(t) of frequency , find the value of for which the amplitude of the forced response is maximum. Which sentences in this excerpt from Ernest Hemingway's "In Another Country" reflect the theme of the psychological alienation caused by war?We all had the same medals, except the boy with the black silk bandage across his face, and he had not been at the front long enough to get anymedals. The tall boy with a very pale face who was to be a lawyer had been lieutenant of Arditi carefully selected volunteers specializing indangerous campaigns and had three medals of the sort we each had only one of. He had lived a very long time with death and was a littledetached. We were all a little detached, and there was nothing that held us together except that we met every afternoon at the hospital.Although, as we walked to the Cova through the tough part of town, walking in the dark, with light and singing coming out of the wine-shops,and sometimes having to walk into the street when the men and women would crowd together on the sidewalk so that we would have had tojostle them to get by, we felt held together by there being something that had happened that they, the people who disliked us, did notunderstand. there was a total of 400 oranges and mangoes at a fruit stall.3/8 of these fruits were mangoes.each orange was priced at 40 cents,and each mango was priced at 60 cents.how much would mr.mead make if he sold 2/3 of the mangoes and 4/5 of the oranges? A(n) ________ indicates the decision variables set by the buyer, such as product availability, the backup stock needed to provide the product availability, and the order points and quantities. Suppose that Mexico experienced a very severe period of inflation in 1972. As prices in Mexico rose, the demand in the foreign exchange market for Mexican pesos: choose the true statement.-2 < -3-2 > -3-2 = -3 A class has 25 students in it. 4 students drop the class. What is a reasonable estimate for the percentage of students that dropped? 2 allusions on page 8 in the book "" from of Plymouth plantation"" Where is the answer to the expression 3 6 located on a horizontal number line? If cot Theta = Two-thirds, what is the value of csc Theta? StartFraction StartRoot 13 EndRoot Over 3 EndFraction Three-halves StartFraction StartRoot 13 EndRoot Over 2 EndFraction Eleven-thirds What is the best way to display data if there is a wide range and we want to see individual data?a.frequency table with intervalsb.stem-and-leaf plotc.line plotd.frequency table Missing Portion on Spinner:So theres a circle,2/3 is covered,1/6 is covered, and 1/9 is coveredwhat fraction is the portion that isn't covered An "agnostic" is a person who does not believe there is enough evidence to know whether God exists. It is unknowable to that person.A. TrueB. False Hi people, Please if someone can give me a hand, l already have done the first part of the exercise, but l cant make Angle CAB= X^0 c) calculate the lower bound for the value of tan X^0 there is the answer 1.02 (2dp) but l have no clue how to get it thanks i used Toa (Tan = Opp/ adj) but l couldnt find it thanks Identify each function as linear, quadratic, or exponential. (x) = 4x2 g(x) = 1 - x h(x) = 32x please what are plane shapes Other than carbon's ability to form four covalent bonds, what is another reason that carbon can form so many compounds? its small size the ability to change shape the ability to form a diatomic molecule the ability to split its electrons What is the correct formula for population growth? A. D+B-I-E B. E+D-B-I C. B+I-D-E D. I+E-B-D select the correct answer from each drop-down menu. Complete each sentence. 1. he finally found his (recoil, gesture, niche, affliction) as a writer White light is spread out into its spectral components by a diffraction grating. If the grating has 1,970 grooves per centimeter, at what angle (in degrees) does red light of wavelength 640 nm appear in first order? (Assume that the light is incident normally on the gratings.)