Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.

Answer:

The measurements of the two angles are 67.5° and 112.5°

Step-by-step explanation:

We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.

3x + 5x = 180

Combine like terms.

8x = 180

Divide 180 by 8.

x = 22.5

Now, we plug in x to 3 and 5.

3 * 22.5 = 67.5

5 * 22.5 = 112.5

Just to make sure our work is correct, let's add these numbers together.

67.5 + 112.5 = 180

The measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.

When the sum of the two angle are equal to the 180 degrees, then these angles are called the supplementary angle of each other.

The ratio of the measurement of an angle to its supplement is 3:5. Let, the ratio,

[tex]\dfrac{3}{5}=x[/tex]

As, these angles are supplementary to each other. Thus,

[tex]3x+5x=180\\8x=180\\\x=\dfrac{180}{8}\\x=22.5[/tex]

Thus, the measurement of the angle is,

[tex]3x=3\times22.5\\3x=67.5[/tex]

The measurement of the supplement of the angle is,

[tex]5x=5\times22.5\\5x=112.5^o[/tex]

Hence, the measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.

Learn more about the supplementary angle here;

https://brainly.com/question/12919120

Answer:

155.53

Step-by-step explanation:

I know where this question is from hahaha

Answer:

D. -√35/6

Step-by-step explanation:

Answer:

=-10 5/9

Step-by-step explanation:

Let's simplify step-by-step. 31/3 x− 31/6

Times the numbers

=-10 5/9

Description:

The first step is to simplify the equation  3 1/3 x -3 1/6 =. When your done simplify the equation your answer will end up as =-10 5/9

Please mark brainliest

Hope this helps.

Answer:

[tex]-10\frac{5}{9}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{3}\times \:-3\frac{1}{6}[/tex]

[tex]\frac{10}{3}\times \:-\frac{19}{6}[/tex]

[tex]-\frac{10\times \:19}{3\times \:6}[/tex]

[tex]-\frac{190}{18}=-\frac{95}{9}[/tex]

[tex]-10\frac{5}{9}[/tex]

Answer:

V≈4021.24

Hope this helps!

Answer:

1004.8

Step-by-step explanation:

The volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex]

r = 8

h = 15

64π * 5 = 320π

320 * 3.14 = 1004.8

Answer:

7

Step-by-step explanation:

Regular polygons have the same number of lines of symmetry as they do sides

Answer:

7 lines of symmetry

Step-by-step explanation:

If you draw a line from every intersection of the shape, you can get seven lines going through, which makes seven lines.

Answer:

All of the angles are 60°, because 180÷3 is 60. so the measure of angle b plus the measure of angle a and angle c is equal to 180°. The measure of angle a + 120° is 180

Answer:

See below

Step-by-step explanation:

a and 120 form a straight line so they add to 180

a + 120 = 180

Subtract 120 from each side

a = 180-120

a = 60

The sum of the angles of a triangle add to 180

b+ a + 60 =180

b + 60 + 60 = 180

b+120 = 180

Subtract 120 from each side

b = 180-120

b = 60

Answer:

They are not similar

Step-by-step explanation:

Whenever two shapes are similar, they must have corresponding equal measure angles. Since two of the angles in these triangles are slightly different, they cannot be similar since the side lengths will now have unequal proportions. Hope this helps!

Answer:

£290.70

Step-by-step explanation:

50x5=250

20x2=40

10x7=70

5x3=15

total = 375

375/1.29=290.697

= £290.70

Step-by-step explanation:

$50-5= 50×5

= 250

$20-2=20×2

= 40

$10-7= 10×7

= 70

$5-3= 5×3

15

then,

we add

250 + 40 + 70 + 15 = 379

£1= $1.29

$ = 1/1.29

= 379/1.29

Answer:

The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3

Step-by-step explanation:

- The shaved ice is modeled as a sphere.

- The half of the shaved ice sphere extends above the cup holder.

- The volume of sphere with radius r = diameter d / 2 :

- We are to calculate the volume of the extended part of the sphere with diameter d = 8 cm or radius r = 4 cm.

- The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3

                                             Hopes This Helps

Answer: x ≤ 16    y≥ 16    

Step-by-step explanation:

-150x ≥ -2400   divide both sides by -150 and the sign will flip because you                                                         x≤16           diving by a negative number

-336 ≥ -21y

y ≥ 16    

Answer:

x ≤ 16    y≥ 16

Step-by-step explanation:

Hope this helps :D

Answer:

120 ft at 0 seconds

Question 2: 12.5 seconds in the air

Step-by-step explanation:

h(x)= -16x^2+120

We want to find the vertex

The vertex is at

h = -b/2a = 0/-32 = 0

The maximum is at 0

h(0) = 0+120 = 120

it occurs at 0 seconds and a height of 120 ft

h(x)= -16x^2+200x

We want to find the zeros of the function

0= -16x^2+200x

Factor out  -8x

0 = -8x(2x -25)

Using the zero product property

-8x=0       2x-25 =0

x =0       2x =25

               x=25/2

The ball starts on the ground   at 0 seconds and lands at 12.5 seconds

Answer:

(90,60)

Step-by-step explanation:

if you look closely through the linear graph, the line crosses through (90,60) and not the other given pairs.

Answer:

B

Step-by-step explanation:

40/100=4/10

Answer:

B

Step-by-step explanation:

Given a system of equations graphically then the solution is at the point of intersection of the 2 lines.

The point of intersection = (- 4, 8 ) ← solution

Answer:

C = 12.6 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2* pi*r

Using 3.14 for pi and 2 for r

C = 2 * 3.14 *2

C =12.56

To the nearest tenth

C = 12.6 inches

Answer:

[tex] = 12.56 \: in[/tex]

Step-by-step explanation:

[tex]c = 2\pi \: r \\ = 2 \times \pi \times 2 \\ = 4 \times \pi \\ = 12.56 \: \: in[/tex]

hope this helps you

Answer:

The histogram is attached

Step-by-step explanation:

The histogram attached shows the points scored in each game, where total number of games are 20

Histogram is made by the following details:

X-Axis: Game No.

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20)

Y-Axis: Total points scored in that game.

(24,49,28,50,34,51,36,52,36,52,40,62,41,67,43,68,43,73,48,79)

Different colors are used for each much so that it is easy to differentiate among them.

Answer:

(0,-2) and (1,1)

Hope this helps :)

Answer: (0,-2) & (1,1)

Step-by-step explanation:

correct answers ✅

Answer:

-10x + y = 63

Step-by-step explanation:

Let's find the slope of this line.  Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10).  Thus, the slope, m, is m = rise / run = 10 / 1 = 10.

Using the point-slope version of the equation of a straight line, we get

y + 7 = 10(x + 7)

Performing the multiplication results in

y + 7 = 10x  + 70.

Rearranging these terms in the form Ax + By = C, we get:

-10x + y = 63

Check this by substituting -6 for x and 3 for y:

-10(-6) + 3 = 63     This is TRUE

Answer:

B. The endpoint of the dilated line is (-2,4),(6,8)

Step-by-step explanation:

Given

Line segment AB

Endpoints: A(-3,6) and B(9,12)

Scale Factor: 2/3 about the origin

Required

Find the end points of the dilated line

From the question, we understand that the line segment is dilated about the origin;

The keywords about the origin implies that, to get the endpoints of the dilated line, we simply multiply the coordinates of of the original line by the scale factor;

This is shown below;

[tex]For\ A = (-3,6);[/tex]

The new endpoints become

[tex]A' = \frac{2}{3} A[/tex]

[tex]A' = \frac{2}{3} (-3,6)[/tex]

[tex]A' = (\frac{2}{3} * -3, \frac{2}{3} * 6)[/tex]

[tex]A' = (\frac{2* -3}{3}, \frac{2 * 6}{3})[/tex]

[tex]A' = (\frac{-6}{3}, \frac{12}{3})[/tex]

[tex]A' = (-2, 4)[/tex]

[tex]For\ B = (9, 12);[/tex]

The new endpoints become

[tex]B' = \frac{2}{3} B[/tex]

[tex]B' = \frac{2}{3} (9, 12)[/tex]

[tex]B' = (\frac{2}{3} * 9, \frac{2}{3} * 12)[/tex]

[tex]B' = (\frac{2* 9}{3}, \frac{2 * 12}{3})[/tex]

[tex]B' = (\frac{18}{3}, \frac{24}{3})[/tex]

[tex]B' = (6, 8)[/tex]

Hence, the endpoint of the dilated line is (-2,4),(6,8)

Answer:

3/2

Step-by-step explanation:

It has one solution.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Answer:

12 =x

There is one solution

Step-by-step explanation:

4x + 8 = − 2 − 2 + 5x

Combine like terms

4x+8 = -4+5x

Subtract 4x from each side

4x-4x+8 = -4+5x-4x

8 = -4+x

Add 4 to each side

8+4 = -4+4+x

12 =x

Answer: only one 4x+8=-4+5x

4x-5x=8+4

-1x=12

x=-12

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

180-80 = 100

100 divided by 2 = 50

X=50

Answer:

The three ways are;

1) Two stacks of six reams

2) Four stacks of three reams

3) Four stacks of three reams arranged two by two

Step-by-step explanation:

The parameters given are;

Dimensions of one ream of paper = 8.5 in. by 11 in. by 2 in.

The number of reams of paper = 12

The three unique ways are;

1) Two stacks of six reams

Box dimension = 6 × 2 in. by 2 × 8.5 in. by 11 in. = 12 in. by 17 in. by 11 in.

Box dimension of new box = 12 in. by 17 in. by 11 in.

2) Four stacks of three reams

Box dimension = 3 × 2 in. by 4 × 8.5 in. by 11 in. = 6 in. by 34 in. by 11 in.

Box dimension of new box = 6 in. by 34 in. by 11 in.

3) Four stacks of three reams arranged two by two

Box dimension = 3 × 2 in. by 2 × 8.5 in. by 2 × 11 in. = 6 in. by 17 in. by 22 in.

Box dimension of new box = 6 in. by 17 in. by 22 in.

Answer:

1) {(0,5), (4,2), (6,9), (9,10)}

Step-by-step explanation:

Lets right the table in more clearer view.

x         f(x)

0           5

4           2

6           9

9          10

The relation in coordinates form is written as (x, y) , x being the first term and y being the second term.

For x = 0, y = 5, so it can be written as (0,5)

Similarly, we can write the next values as:

(4,2)

(6,9)

(9,10)

So the data in the table is:

(0,5), (4,2), (6,9), (9,10)

It can be written is a set form

{(0,5), (4,2), (6,9), (9,10)}

Which is the same as option 1.

Hence, Option 1 is correct.

Answer:

A

Step-by-step explanation:

took the quiz edge 2020

[tex]x = 67.5 \\ solution \\ x + 3x + 90 = 360(sum \: of \: complete \: turn) \\ or \: 4x + 90 = 360 \\ or \: 4x = 360 - 90 \\ or \: 4x = 270 \\ or \: x = \frac{270}{4} \\ x = 67.5 \\ hope \: it \: helps[/tex]

Answer: x = 67.5°

Step-by-step explanation:

Is this for area or the magnitude of the angle? Ill solve for the angle. A circle has a total degree of 360. And they give us the right angle of 90°.

So the equation we have here is 90 + 3x + x = 360. Subtract 90 from both sides to get 3x + x = 270. Combine the like terms to get 4x = 270. Now just divide each side by 4 to get 67.5°

Answer:

3cm ,4cm,5cm,and 8 centimetres

Answer:

Percent increase : 20%  

Step-by-step explanation: First month: 4,264 phone calls.

Second month: 25% more phone calls than in the first month.

To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:

4,264*25%=1,066

Total phone calls of the second month: 1,066+ 4,264= 5,330

You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:

4,264*1,25= 5,330

Third month: 6,396 phone calls

To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:

Percent change: ((value2-value1)/ value 1 )*100%

Value 2: phone calls received during the third month

Value 1: phone calls received during the second month

Percent change: ((6,396-5,330)/ 5,330 )*100%

Percent increase: 20%