Let f be the continuous function defined on [-4, 3] whose graph, consisting of three line segments and a semicircle centered at the origin, is given above.

Answers

Answer 1

The value of g(2) = -1/4 and the value of g(-2) = π/2 - 3/2

The graph of function g is having a point of inflection at x=-2 and  x=0 and x = 1 because g''(x) = f'(x) changes at each of these values.

A function is basically a relation between two sets having a domain , range and a co-domain.

We can represent functions graphically by plotting their equations and putting the value of co- ordinates.

A graph consists of four quadrants two positive and two negative. It helps to visualize data in a clear manner and helps to present data more efficiently.

To learn more about functions

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Related Questions

Un cilindru circular drept are raza bazei egală cu 27 , iar înălțimea cilindrului este egală cu 11 . (unitatea de măsură o alegi tu). De aflat aria totală și volumul cilindrului. VA ROG URGENT

Answers

Answer:

1) 6447,55 unități pătrate

2) 25192,43 unități cubice

Step-by-step explanation:

1) Suprafața totală a unui cilindru

Formula = 2πr (r + h)

r = 27 de unități

h = 11 unități

Suprafața totală = 2 × π × 27 × (27 + 11)

= 6446.54813 unități pătrate

Aproximativ = 6447,55 unități pătrate

2) Volumul cilindrului

Formula = πr²h

= π × 27² × 11

= 25192,43 unități cubice

Help????? I don’t know which is right

Answers

Answer:

C

Step-by-step explanation:

Given

tanθ = [tex]\frac{1}{2}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

This is a right triangle with legs 1 and 2

Using Pythagoras' identity

hypotenuse² = 1² + 2² = 1 + 4 = 5 ( take square root of both sides )

hypotenuse = [tex]\sqrt{5}[/tex]

θ is in the 3rd quadrant where sinθ < 0 , then

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{1}{\sqrt{5} }[/tex] ← rationalise the denominator

       = - [tex]\frac{1}{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]

       = - [tex]\frac{\sqrt{5} }{5}[/tex] → C

A serving of dried fruit is 1/5 cup. A bag contains
9/10
cup of dried fruit. Which
division expression can you use to find the number of servings in the bag:
1/5 divide 9/10 or 9/10 divide by 1/5 ? Explain your reasoning.

Answers

Answer:

9/10 divide by 1/5

4 1/2 cups

Step-by-step explanation:

Serving of dried fruits = 1/5 cups

Bag of dried fruits = 9/10 cups

Expression that can be used to find the number of servings in the bag = Bag of dried fruits / Serving of dried fruits

= 9/10 ÷ 1/5

= 9/10 × 5/1

= (9* 5) / (10 * 1)

= 45/10

= 4 5/10

= 4 1/2 cups

9/10 divide by 1/5

Matthew wants to purchase a new couch, but he does not have enough money in his bank account to pay for one.

Which of these is not an option for Matthew?


He can save money and write a check once there is enough money in his account.

He can use his debit card to purchase the couch now.

He can use his credit card to purchase the couch now.

He can save money and pay cash once he has enough.

Answers

Answer:

He can use his debit card to purchase the couch now.

Step-by-step explanation:

In October of 2010 it rained 4 inches. In October of 2011 it rained 2.6 inches. What is the percent decrease in October rainfall?

Answers

The percent decreased by 65%

What’s the slope (rate of change) for the red?

Answers

um I think it is 2,1 count over 2 then go up1

A rectangle has an area of 96 sq. ft. Find the width of the rectangle if the height is 8 feet?

Answers

96/8= 12 ft

Therefore the answer should be 12ft :)

What is (0, 2) reflected over the x-axis

Answers

Answer:

(0,-2)

Step-by-step explanation:

plot the point and reflect it over the x axis

What's the domain and range of the exponential growth function? (please help asappp no spam please or links or anything like that!!! will give brainliest)
Domain: All real numbers; Range: All real numbers

Domain: x > –2; Range: y > –2

Domain: x < –2; Range: All real numbers

Domain: All real numbers; Range: y > –2

Answers

Answer:

Domain: All real numbers; Range: y > –2

Step-by-step explanation:

The function can take every x value, but does not reach values less than -2.

Help me please I will give Brainiest answer

Answers

Answer:

A= 1,0 B=0, -3 C=-6, 5 D= -3, -5

2. Find the length of AD if the length of AB is
14 units, the length of BC is 5 units, and the
length of CD is 8 units

Answers

Step-by-step explanation:

can you please show the picture too

Find the areas of the trapezoids

Answers

Answer:

12 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 4 ( perpendicular distance between the bases ) and

b₁ = SR = 2, b₂ = TA = 4 , then

A = [tex]\frac{1}{2}[/tex] × 4 × (2 + 4) = 2 × 6 = 12 units²

What is the domain of the function graphed below?

Answers

Answer:

the answer is c

Step-by-step explanation:

Domain is [tex]{ x|x\neq -1,2,4}[/tex]

What is domain ?

The domain of a function is the complete set of possible values of the independent variable.

The domain is the set of all possible x-values which will make the function "work", and will output real y-values

We need to find the domain of the function graphed

Domain are the values of x for which the function is defined.

For domain, we look at the x values of the graph.

We have graph for x values  the graph goes close to x = -1 and x = 4 axis but does not cross x = -1 and x = 4axis. and at x =2 not define

So , domain is set of all x values  [tex]{ x|x\neq -1,2,4}[/tex]

Hence, domain is [tex]{ x|x\neq -1,2,4}[/tex]

To learn more about the domain here:

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Use the scatter plot of car resale values to answer the following question.
A graph titled Car Resale Values has age of car on the x-axis, from 0 to 10 in increments of 2, and percentage of sticker price on the y-axis, for 0 to 100. A line of best fit goes through points (2, 80) and (9, 20).
What can you say about the correlation between the age of a car and its resale value?
a.
The trend line slopes downward from upper left to lower right, so there is a negative correlation between a car’s age and its resale value.
b.
The trend line slopes downward from upper left to lower right, so there is a positive correlation between a car’s age and its resale value.
c.
The trend line slopes upward from lower right to upper left, so there is a positive correlation between a car’s age and its resale value.
d.
There is no correlation between a car’s age and its resale value.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

taking the practice assignment

please help!! area of parallelogram

Answers

24 Área= Length x Width so 8x3

HELP HELP HELP!! ILL MARK BRAINLIEST

Answers

Answer: i think its the 3rd one

Step-by-step explanation:

help me please!!!

What is the value of -3x^5+ 2x^2+ x -5 when x = -1

Answers

Answer:

-1

Step-by-step explanation:

Plug in calculator

-3(-1)^5+2(-1)^2-1-5 = -1

students make a rectangular banner that is 2 feet 6 inches wide and 84 inches long what is the perimeter

Answers

Answer:

6 + 2 = 8 which is the width.

8 + 8 = 16

84 + 84 = 168

168 + 16 = 184 in

Answer:

228 inches

Step-by-step explanation:

2 feet 6 inches = 30 inches

2(30in+84in) =228 in

Help me fast please

Answers

Answer:

I think the answer is

Step-by-step explanation:

50 feet tall

of/what=of/what
6/8=x/48
Cross multiply
x=36
The answer is 36
To check: 3/4=.75
36/48=.75

Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions will maximize the area of the paddleball court?

Answers

Answer:

L = 10m

And, W = 20m

Step-by-step explanation:

The computation is shown below:

Given that

2L + W = 40 m

Also we know that

Area = Length × width

= L × ( 40 - 2L)

= 40L - 2L^2

= -2(L^2 - 20L)

= -2(L^2 - 20L + 100 - 100)

= -2(L^2- 20L + 100) + 200

= -2(L - 10)^ + 200

So

L = 10m

And, W = 20m

In circle O, mZR = 23. Find mzo. (The figure is not drawn to scale.)
e
R
O 46
23
67
157

Answers

Answer:

A. 46

Step-by-step explanation:

m<R=23

m<NQ=2(23)=46

m<O=m NQ =46

hope it helps....

✎Answer:〘 46 〙

✏---------------

m∠R=23mNQ=2(23)=46m∠O=m NQ=46

➜➜➜➜➜➜

hope it helps

have a great day!!

Justin conducted a survey to find out people's favorite sport and recorded the results below. If Justin were to survey a total of 250 people, how many would you predict would name basketball?

Answers

Answer:

100 people

Step-by-step explanation:

In the attached image below we can see that the original survey was done on a total of 50 individuals (12 + 3 + 20 + 15 = 50). Out of these 50, 20 of them answered basketball.

20 / 50 = 0.40 ... multiply by 100 to get percentage

0.40 * 100 = 40%

We can see that this is 40% of the original survey sample population. If we use this same percentage, we can predict how many individuals out of 250 would answer basketball. We calculate this by multiplying 250 by 40% in decimal form, like so...

250 * 0.40 = 100

Finally, we can predict that 100 people would most likely answer basketball.

Select all the expressions that equal 6 to the power of-10.


6−5⋅62


(16)5


(6−5)2


6−367


65⋅6−36−8

Answers

Answer:

I will say answer A but I don't know

Step-by-step explanation:

the answer of √ 9+4√5 is?​

Answers

Answer:

3 + 4√5   or    11.94    

Step-by-step explanation:

√ 9+4√5

√9 = 3

3 + 4√5

You pick from cards at random 2 4 5 6 7 8 9 Which is P(prime)

Answers

Answer:

2, 3, 5, 7

Step-by-step explanation:

They are all prime

Answer: 2,3,7,5

Step-by-step explanation:

2 is an exeption for a prime number but 3,7,5 are only diviusible by 1 and itself

Audria rode her bicycle for 2 hours. She drove a total of 21 miles. At this rate, how many miles will she bike in ½ hour? A 612 6 1 2 B 634 6 3 4 C 534 5 3 4 D 514

Answers

Answer:

5 1/4

Step-by-step explanation:

Speed = distance / time

21 / 2 = 10.5

10.5 = distance / 0.5

distance = 10.5 x 0.5 = 5,25 miles or 5 1/4

The graph represents the piecewise function:

Answers

Okay this isn’t a answer , and if I knew any of this advanced math I would help . But are these files that people are commenting even safe ??

ū= (5,8)
Find the direction angle of ū.
Enter your answer as an angle in degrees between 0 and 360° rounded to the nearest hundredth.

Answers

Assuming the angle made by a vector refers to the angle it makes with the positive horizontal axis, take the dot product of u with the vector (1, 0), and recall that

a • b = ||a|| ||b|| cos(θ)

where θ is the angle made by the vectors a and b. Then

u • (1, 0) = ||u|| ||(1, 0)|| cos(θ)

We have

u • (1, 0) = 5×1 + 8×0 = 5

||u|| = √(5² + 8²) = √89

||(1, 0)|| = √(1² + 0²) = √1 = 1

so that

5 = √89 cos(θ)

cos(θ) = 5 / √89

θ = arccos(5 / √89) ≈ 57.99°

can you help me i will mark if i can

Answers

Answer:

i think it is d

Step-by-step explanation:

for brainiest:):):):):):):):):):):)

Answers

Answer:

34 yd for the perimeter. I mean you just add the sides together... So 8+2+3+7+5+9 = 34.

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