Find the inverse function f -1(x) for the given function f(x). f(x) = x + 1/8

Answer:

[tex] x = 20° [/tex]

Step-by-step explanation:

attached

Answer:

1/6

Step-by-step explanation:

Multiply the fractions to find how much of the whole cake he ate.

1/3 * 1/2

1/6

Best of Luck!

Answer:

1/6

Step-by-step explanation:

He ate 1/2 of 1/3 of the cake, so the fraction of the whole cake he ate is 1/2 x 1/3. Multiplying fractions is easy, simply multiply the numerator of each fraction (the numbers at the top of each fraction) and the denominator of each fraction (the numbers at the. bottom of each fraction). Therefore, 1/2 x 1/3 = 1/6.

Step-by-step explanation:

1 - 5 is not equal to 8

2 - 16 is not equal to 8

3 - 12 is equal to 12

4 - 5 is not equal to 17

5 - 0 is not equal to 4

[tex]x+x+4=72\\\\\Rightarrow2x=68\\\\\Rightarrow x=34[/tex]

Answer:

x= 15

Step-by-step explanation:

Answer:

(4x-80)+60+60=180 [sum of angles of triangle]

4x-80+60+60=180

4x+40=180

4x=180-40

x=140/4

x=35

Direction is usually specified as bearing, however, with regards to vectors direction is specified relative to the positive, x-axis

The correct option for the ground speed and direction of the plane is option B

B) Ground speed: 639 mph; direction 161°

The given parameters are;

Direction of airplane = 165° (vector, measured from the horizontal x-axis)

Airspeed of airplane = 650 mph

The speed of the wind blowing = 50 mph

The direction of the wind = N30°E

Required:

The ground speed of the airplane

Solution:

The velocity of the airplane in vector form is found as follows;

[tex]\overset \longrightarrow P[/tex] = 650 × cos(165)·i + 650 × sin(165)·j ≈ -628·i + 168·j

The velocity of the wind in vector form is found as follows;

[tex]\overset \longrightarrow W[/tex] = 50 × cos(60)·i + 50 × sin(60)·j ≈ 25·i + 43·j

The sum of the vectors, [tex]\overset \longrightarrow R[/tex] = The ground speed, therefore;

[tex]\overset \longrightarrow R[/tex] = [tex]\overset \longrightarrow P[/tex] + [tex]\overset \longrightarrow W[/tex]

[tex]\overset \longrightarrow R[/tex] = (25 - 628)·i + (43 + 168)·j = -603·i + 211·j

The magnitude of the ground speed = √((-603)² + 211²) ≈ 639

The magnitude of the ground speed ≈ 639 mph

The direction, Φ ≈ arctan(211/(-603)) ≈ -19°

Φ is measured from the negative x-axis in the clockwise direction, therefore;

The direction of the airplane from the positive x-axis, in the anticlockwise direction, θ = 180° + Φ

θ = 180° + (-19) = 161°

The direction of the airplane measured from the positive x-axis, θ ≈ 161°

Therefore, the correct option is ground speed; 639 mph; direction 161°

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Answer:

4

2

−

1

1

3

+

4

8

3

Step-by-step explanation:

Cosine is [tex]\frac{hypotenuse}{adjacent}[/tex].

Apply the equation:

[tex]sin(t) = \frac{3}{5} \\3^2 + b^2 = 5^2\\b^2 = 5^2 - 3^2\\\\\sqrt{b^2} = \sqrt{5^2}- \sqrt{3^2}\\\\\\b = 5 - 3 \\\\b = 2[/tex]

B is the adjacent side so

cosine is:

Cos(t) = 5/2

Have a great day,

And I hope this helps you!

Answer:

30 words

Step-by-step explanation:

30/5 = 6

Answer:

17minutes 10sec

Step-by-step explanation:

Total time running and walking

= time ran + time walked

= 11 minutes 24 sec + 5 minutes 48sec

= 16minutes 70sec

( now we know 60 sec = 1 min) so..

= 17minute 10sec

Answer:

The function g(x) has a higher y-intercept.

Step-by-step explanation:

First function f(x):

Slope = (-1, - (-1) / -4 - -1) = 0

So its equation is y = -1.

The y-intercept is (0, -1).

Second function g(x):

Slope = (13-9)/ (6-4) = 2.

y - y1 = m(x - x1)  where m = slope and (x1, y1) is a point on the line, so we have:

y - 9 = 2(x - 4)

y = 2x - 8 + 9

y = 2x + 1.

So the y-intercept is (0, 1).

Answer:

positive, its above 0

Step-by-step explanation:

Answer: positive (negative is below 0 degrees)

Step-by-step explanation:

Answer:

Domain: x>-3 Range: y [tex]\geq[/tex]-5

Step-by-step explanation:

The domain at the left has an open circle, meaning it is not uncluded in the domain. The domain would start from there, not including -3, and go on towards positive infinity. The range, at its lowest starts at -5, including negatove 5, since it is a closed circle, and goes up from there.

Answer:

height = 5 cm

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = lbh ( l is length, b is breadth, h is height )

Here l = 6, b = 2 and V = 60 , then

6 × 2 × h = 60 , that is

12h = 60 ( divide both sides by 12 )

h = 5

That is height is 5 cm

Answer: -130, - 129, - 128

Step-by-step explanation:

x + x+1 + x+2 = - 387

3x + 3 = - 387

3x = - 387 - 3

x = - 390/3

x = - 130

Answer:

Step-by-step explanation:

Diện tích ruộng anh ta là :

17×14=238(dặm)

Vậy diện tích ruộng của anh ta là 238 dặm

The area of his field is 238 sq mi.

Given the following dimensions for the rectangular field:

Length = 17 miles

Width = 14 miles

Area of his rectangular field = area of rectangle = [tex]length \times width[/tex]

Plug in the values as follows:

[tex]Area = 17 \times 14\\Area = 238 mi^{2}[/tex]

The area of Albert's field is 238 square mile

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Finding the numerical value of the function, it is found that:

Considering that the percentage of smokers in 2010 is of 23%, while the model estimates at 20%, it is found that the model underestimated the percentage by 3%.

--------------------------------

The numerical value of a function f(x) at x = a is f(a).

--------------------------------

The percentage of smokers in x years after 1970 is given by:

[tex]p + \frac{x}{2} = 40[/tex]

Then

[tex]p(x) = 40 - \frac{x}{2}[/tex]

--------------------------------

2010 is 2010 - 1970 = 40 years after 1970, thus the percentage is p(40).

[tex]p(40) = 40 - \frac{40}{2} = 40 - 20 = 20[/tex]

Considering that the percentage of smokers in 2010 is of 23%, while the model estimates at 20%, it is found that the model underestimated the percentage by 3%.

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Answer:

16

Step-by-step explanation:

[tex]x^{2}[/tex] = [tex]x[/tex] multiplied by [tex]x[/tex]

so [tex]4^{2}[/tex] = 16

Answer:

16

Step-by-step explanation:

4 squared should look like this:

4²

That means we just multiply 4 twice:

4 x 4

16

Answer:

y=1

Step-by-step explanation:

the missing parts of the table

Answer:

7 - 2 = 5

Step-by-step explanation:

pls give me brainliest i need it to level up

Fun Fact: The hagfish is the only animal that has a skull but no spine.

Answer:

Qoutient=x+3

Remainder=8

Answer:

Quotient ---> x + 3

Reminder ---> 8

Step-by-step explanation:

See the attached image, I have included all the necessary steps!

Answer:

[tex]8p + 5c = p \\ 5c = p - 8p \\ 5c = - 7p \\ \frac{5c}{5} = \frac{ - 7p}{5} \\ \\ c = - \frac{7}{5} p[/tex]

therefore:

[tex]{ \boxed{ \boxed{c = - 1 \frac{2}{5} \: p}}}[/tex]

Its option C

Verification

[tex]\\ \sf\longmapsto x-5y\lt 7[/tex]

[tex]\\ \sf\longmapsto -3-5(2)\lt 7[/tex]

[tex]\\ \sf\longmapsto -3-10\lt 7[/tex]

[tex]\\ \sf\longmapsto -13\lt 7[/tex]

Answer:

Step-by-step explanation:

Fred does not shade any model

Edwards shades nine tenths : 0.9

Jeff shades shades seven tenths : 0.7

so add 0.9 + 0.7, you get 0.16 : sixteen hundredths .

Option a

How?

[tex]\\ \sf\longmapsto \dfrac{\sqrt{100}}{3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{10}{3}[/tex]

Hence correct option is a

Answer:

2nd one

Step-by-step explanation:

experimental research

The case described here is an experimental research study.

In an experimental research study, the researcher deliberately manipulates one or more variables (in this case, whether or not the participants drink tea) and observes the effects on other variables (in this case, the time each group falls asleep). The researcher randomly assigns participants to different groups, ensuring that any differences observed between the groups can be attributed to the manipulation of the variable of interest.

In this scenario, the researcher randomly divided the adults into two groups and instructed one group to drink tea every night while the other group was told not to drink tea. By manipulating the variable (tea consumption) and comparing the outcomes (time of falling asleep) between the two groups, the study follows the experimental research design.

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Answer:

78

Step-by-step explanation:show your work

Answer:

x = 17

Step-by-step explanation:

[tex]y = x2 - 9 \times 2 - 16[/tex]

[tex]0 = 2x - 18 - 16[/tex]

[tex]0 = 2x - 34[/tex]

[tex] - 2x = - 34[/tex]

[tex]x = 17[/tex]