5. Determine the average rate of change of f(x)=6 cos(2x) – 4 on the interval [pi/4,pi]

Answers

Answer 1

Answer:

[tex] - \frac{8}{\pi} [/tex]

Step-by-step explanation:

Use slope formula.

Rise over run.

Or

y over x.

[tex] \frac{ {y}^{2} - y {}^{1} }{ {x}^{2} - x {}^{1} } [/tex]

Over changes in x value would be - 3/4 pi.

Plug in seepage intervals for x to find y.

[tex]6 \cos(2(\pi) - 4[/tex]

In the regular function,

[tex] \cos(\pi) = 1[/tex]

Since our period is 2, it would stay the same since 1x2=2

Since our amplitude is 6, our y value now is 6.

Since our vertical shift is -4, our y value is 2.

So

[tex]6 \cos(2(\pi)) - 4 = 2[/tex]

[tex] {x}^{2} = \pi \: \: \: \: {y}^{2} = 2[/tex]

Let do the other point,

[tex] \cos( \frac{\pi}{4} ) = \frac{ \sqrt{2} }{2} [/tex]

Our period is 2 so

[tex] \frac{ {\pi} }{4} \times \frac{2}{1} = \frac{\pi}{2} [/tex]

[tex] \cos( \frac{\pi}{2} ) = 0[/tex]

Multiply this by 6.

It stays 0 then subtract 4 we get

[tex]6 \cos(2( \frac{\pi}{4} )) - 4 = - 4[/tex]

Use the earlier formula, slope

[tex] \frac{2 + 4}{ - \frac{3\pi}{4} } = - \frac{8}{\pi} [/tex]


Related Questions

i'll mark you brainliest for the answer<3

Answers

The answer is -3,9. Hope that helps.

Question 2 of 10
What is the area of the triangle below?
No links please

Answers

Answer
60
Explanation
Height x length then divide by 2

Give the equation of the circle centered at the origin and passing through the point (0,5)

Answers

Answer:

[tex]x^{2} +y^{2}=25[/tex]

Step-by-step explanation

The standard equation of a circle centered at origin is  [tex]x^{2} +y^{2} =r^{2}[/tex]

r = radius of the circle

The circle is passing through the point (0,5)

∴ radius  [tex]r=\sqrt{(0-0)^{2}+(5-0)^{2} }[/tex]

               [tex]r=\sqrt{0+25}[/tex]

               [tex]r=\sqrt{25}[/tex]

               [tex]r^{2}=25[/tex]

∴ The equation of the circle is

     [tex]x^{2} +y^{2} = 25[/tex]

Solve: q + 24 = 24 A. q = 8 B. q = 2 C. q = 3 D. q = 0

Answers

Answer:

Hi! The answer to your question is D. q = 0

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Find the area of the following figure below (btw the number on the left is 3)

Answers

Answer:

21

Step-by-step explanation:

Area of a rectangle is base x height so 7 x 3 so 21

Question:

Find the area of the following figure below (btw the number on the left is 3)

Answer:

21

Step-by-step explanation:

Formal:

L x W = Area

^ ^ ^        ^

3 x 7 = 21

I need help with number 2

Answers

Answer:

I would help but the picture that's on this question isn't letting me see it so I'll just make a joke....... sorry

if you need help with #2 then you should probably go to a doctor

Can someone please help me? <3

Answers

Answer:

D

Step-by-step explanation:

Slope of horizontal line is always 0 while slope of vertical line is undefined

PLEASE HELPPPPPPPPPPPPPPP

Answers

Answer:

96

Step-by-step explanation:

A=6a²=6·4²=96ft²

HELP ME Please I BEG YOU
Lorenzo writes the following expression to represent the number of trading
cards he has: 12 x (3 + 17)
Michele writes the following expression to represent the number of trading
cards she has: 4 x [12 x (3 + 17)
Which statement correctly compare the number of trading cards that Lorenzo and Michele have?

A. Michele has 1/12 times the umber of trading cards that Lorenzo has
B. Michele has 1/4 times the number of trading cards that Lorenzo has.
C. Michele has 4 times the number of trading cards that Lorenzo has.
D. Michele has 12 times the number of trading cards that Lorenzo has.
help ME!!!!!!!!PLZzzZ I BEG YOU

Answers

Answer:

c

Step-by-step explanation:

Michele has 4 times the number of trading cards that Lorenzo has

x+2y=8
-x+3y=17

método de reducción ¿alguien la sabe?​

Answers

Answer:

x=-2

y=5

Step-by-step explanation:

x+2y=8   equation-1  

-x+3y=17 equation-2

5y=25

Both side divided 5,

y=5

Equation-1, y=5

x+2(5)=8

x+10=8

Both side -10

x+10-10=8-10

x=-2

Equation-2, y=5

-x+3(5)=17

-x+15=17

Both side -15

-x+15-15=17-15

-x=2

x=-2

Find the range of values of x for which 3x² + x -2 =0

Answers

Answer:

x = .2

Step-by-step explanation:

3x2 + x - 2 = 0

3x2 + x - 2 + 2 = 0 + 2

3x2 + x = 2

9x + x = 2

10x = 2

10x/10 = 2/10

x = .2

Long division of 452.7 ÷ 15

help me!!​

Answers

Answer:

30.18

Step-by-step explanation:

Answer:

30.18

Step-by-step explanation:

      030.18

15 | 452.7

  - 45

        02

           0

          27

        - 15

            120

          - 120

                0

This pattern follows the rule add 18. What other features do you observe?
14, 32, 50, 68
All terms are even because even + even = even.
All terms are even because odd + odd = even.
All terms are odd because odd + even = odd.
All terms are even because when you add two numbers together, the sums are always
even

PLEASE HELPPP

Answers

Answer:

Step-by-step explanation:

"All terms are even because even + even = even" is correct.  All of the given terms are even and the "common difference," 18, is also even.

All the numbers are even

if man salary increase 10 percent after and now become rs 3600 what was his old salary?​

Answers

Answer:

rs 3240

Step-by-step explanation:

10% of 3600 = 360

3600 - 360 = 3240

What is the median price? $32,000 $28,000 $60,000 $26,000

Answers

Answer:

b

Step-by-step explanation:

I’m not sure but I think it’s 4000

Gas sells at a rate of 4 gallons for
$8.40. How much will it cost to fill
a tank holding 16 gallons?

Answers

Step-by-step explanation:

it will cost $33.60 to fill a tank holding 16 gallons.

Answer:

$33.60

Step-by-step explanation:

Unit rate per gallon is $2.10 (find this by dividing the cost by the number of gallons)

Multiply this number by 16

2.10*16 = $33.60

On a school trip to a theme park, four busses each carry 105 students. 35% of the students are bringing their own lunch. 3/7 of the students are buying lunch when they get to the theme park. The teachers are worried that some students have not made plans for lunch. Find how many students have not made plans for lunch.

Answers

Answer:

We have a lunch pack for her lunch

if food has 5g fat, 10g protein and 20g carbs, how many calories is it (9,4,4)?

Answers

Answer:

165 Calories

Step-by-step explanation:

A gram of carbohydrate contains 4 calories. A gram of protein also contains 4 calories. A gram of fat, though, contains 9 calories

5x9=45 10x4=40 20x4=80 45+40+80= 165

Answer:
165
Explanation:
5(9)+10(4)+20(4)= 165

4. A light bulb was being tested so it was left on
continuously. It failed after 29 days exactly.
How many hours did it work altogether?​

Answers

Answer:

696 hours

Step-by-step explanation:

Given the figure what is the value of x​

Answers

Answer:

x=17

Step-by-step explanation:

3x+5+51=107

3x=107-56

3x=51

x=17

Emilio and friends are in a submarine 500 feet below sea level. They continue to dive 35 feet each hour for 7 hours.

What is Emilio and friend’s current position, in feet, COMPARED TO SEA LEVEL after 7 hours?

Answers

You would write the equation out as x=35x+500

You substitute x for 7 so it’s x= 35(7)+500

So the answer will be 745 dollars

80 points just please help

Answers

Answer:

F

Step-by-step explanation:

If you used the first one

(4÷4) (4÷4) = 1 which is correct.

input the values in the equations and check each one

Answer:

F

Step-by-step explanation:

4 divided by 4 divided by 4 divided by 4 is 1

So the answer is F. hope this helps

pleas help me!!??!!!??!!?!

Answers

Answer:

65/16 exact form, 4.0625 in decimal form, and 4 1/16 in mixed number form.

Find the unit rate.
10 deliveries in 2 hours =

Answers

5 because if you were to divide 10 by 2

do this and tell me why u think this is the right answer

Answers

Answer:

It is 24 boxes

Step-by-step explanation:

How many boxes can fit into a cube with a volume of 288

Then, you divide the larger cube's volume(288) by the smaller cube's volume(12)

You will then get 24 boxes.

P.S. go ahead and click that crown pls ;)

The muffin batter contains 2 cups of flour, 1 cup of milk, one half cup of sugar, and 3 eggs. What is the ratio of flour to milk?

Answers

Answer: 2  :  1

Step-by-step explanation:

The batter calls for 2 cups of flour and 1 cup of milk.

That means that for every 2 cups of flour, the muffin batter would need 1 cup of milk.

Ratio of flour to milk will therefore be:

= Amount of flour needed : Amount of milk needed

= 2 cups of flour :  1 cup of milk

= 2  :  1

A box contains 6 black socks and 4 red socks. What is the probability of picking two black socks from the bag without replacement? What is the answer in simplest form?

Answers

Answer:

9/25

Step-by-step explanation:

Our box contains 10 socks. (6, which are black and 4 which are red)

Probability of picking 1 black sock will be 6/10

Number of ways it can occur / Total number of outcomes.

In this question we pick two socks, one black firstly and another black, in the second turn. When we say AND, it means intersection

P (B₁ ∩ B₂) = 6/10 . 6/10

When the events are independent, the probability of the intersection will be the product of the probabilities,

P (B₁ ∩ B₂) = 36/100 = 9/25

Find the area of the circle. Round your answer to the nearest hundredth.

Answers

Answer:

176.63 cubic in. =A

Step-by-step explanation:

The area of a circle can be found by using the equation [tex]\pi r^{2}[/tex]=A. The problem gives us the diameter, but we need the radius. To find the radius divide the diameter by 2, so raduis= 7.5 in.

[tex]\pi r^{2}[/tex]=A

(3.14)([tex]7.5^{2}[/tex])=A

(3.14)(56.25)=A

176.63 cubic in. =A

can anyone please help me solve!!!!!

Answers

Answer:

30 square units

Step-by-step explanation:

We know that the area of a triangle is equal to half of the product between the base and the height.

In this case, we can see that one of the sides of the triangle is parallel to the x-axis, then we can define:

Base = difference between the two extreme x-values

In this case, the extremes (the point at the left and the point and the right) are:

(-5, 3) and (7, 3)

The difference between the x-values is:

D = (7 - (-5)) = 7 + 5 = 12

Then the base is 12 units long.

For the height, we can find the difference in the y-value between the lowest point and the highest one.

In this case, we have two points at the same height (both with y-value = 3)

and the top point is (4, 8)

The difference in the y-value is:

D = (8 - 3) = 5

Then the height is 5 units.

Now that we know the height and the base of the triangle, the area is:

A = (5 units)*(12 units)/2 = 30 square units.

Hiiii! Please help, I'll mark brainliest!

Answers

Answer:

Step-by-step explanation:

C is correct.  Comparing the given g(x) = (x - 2)^2 + 1 to

                                                             y  =  (x - h)^2 + k     (h, k) is the vertex

we see that h = 2 and k = 1.  This is the location of the vertex in equation C.

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