inverse functions
Given that f(X)=2x-3 and g(X)=3x+1÷x+2
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Step-by-step explanation:

V=4/3πr^3

V=4/3π(3.85)^3

V=4/3π(57.066625)

V=4/3 (179.280089865)

V=239.04011982

V=239 ft^3

Answer:

x=50

Step-by-step explanation:

Let's look at the red angle. if a flat line makes the angle 180, and the outer angle is 120, subtract 120 from 180. This will give you 60. Now every angle of a triangle added together will give you the sum of 180. So you already have 60 and 70, which make 130 all together. Subract 130 from 180 - (180-130) - and you'll get the result of 50.

The solution is :  the measure of the missing angle X is x=50.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Let's look at the red angle.

if a flat line makes the angle 180, and the outer angle is 120,

subtract 120 from 180.

This will give you 60.

Now every angle of a triangle added together will give you the sum of 180.

So you already have 60 and 70,

which make 130 all together.

Subtract 130 from 180

i.e. (180-130) = 50

and we get the result of 50.

Hence, The solution is :  the measure of the missing angle X is x=50.

To learn more on angle click:

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Answer:

1.  see attached diagram

2. The dimensions are 75 sqrt(2) by 75 sqrt(2) ft

3. The perimeter is 300 sqrt(2) ft

4. cannot fit 40 machines along the walls

Step-by-step explanation:

We are using a top down view.  We have a square building with side length s.  The diagonal is 150 ft

Using the Pythagorean theorem

s^2 + s^2 = 150^2

2s^2 = 22500

s^2 =11250

Taking the square root of each side

sqrt(s^2) = sqrt(11250)

s = sqrt(6225*2)

s = 75 sqrt(2)

The dimensions are 75 sqrt(2) by 75 sqrt(2) ft

The perimeter of a square is given by

P = 4s = 4(75 sqrt(2)) =300 sqrt(2) ft

The perimeter is 300 sqrt(2) ft

Assuming the machines are square ( that they are as wide as they are long) 75 sqrt(2) is approximately 106 ft  so you can fit 10 along the wall

Putting them along the top and bottom walls = 20 machines

We are only left with 86 ft along the side walls

86/10 = 8 machines  

machines * 2 walls = 16

We can fit 20+16 machines = 36 machines not 40

(a) The radius of the circle is the distance the wave travels since it first formed, so if g(t) is the radius of the circle at time t, then it changes at a rate according to

dg/dt = 60 cm/s

Integrate both sides with respect to t to solve for g :

∫ dg/dt dt = ∫ (60 cm/s) dt

g(t) = (60 cm/s) t + C

but C = 0 since the radius at t = 0 must be 0.

g(t) = (60 cm/s) t

(b) The area of any circle with radius r is πr ². So

f(r) = πr ²

(c) The composition of f with g represents the area of water encircled by the wave at time t :

(f o g)(t) = f(g(t)) = π g(t) ²

Answer:

9. Always

10. Never

11. Always

12. Sometimes

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

(0, 6), (4, 4), and (0, -4)

Step-by-step explanation:

basically you pick 2 sides (each with endpoints at two of the three verticies) to be the adjacent sides, and then you can easily find the fourth vertex for each case.

Answer:

8×4=32 and 8 groups of 4 equals 32.

Answer:

Step-by-step explanation:

7/12-2/5

We will find the LCM of it to make the denominators same.

Which is 60

Now to make denominators same

7/12×5/5

= 35/60

2/5×12/12

= 24/60

Now using these like values

35/60-24/60

= 11/60

The fraction is already in lowest terms

Must click thanks and mark brainliest

Answer:

No

Step-by-step explanation:

One way to tell if a number is rational is if it can be written as a fraction. Anything that can be written as a fraction of two integers is rational.

-6/11 is a fraction with integer numerators and denominators.

Therefore it is rational.

Answer:

382.5 :)

Step-by-step explanation:

took test

Answer:

Just restart your computer

Answer:

x=0,1,±2

Step-by-step explanation:

x^3(x^2-5)=-4x

x^2(x^2-5)=-4

Take x^2=a, we have

a*(a-5)=-4, a^2-5a+4=0, (a-1)(a-4)=0, a=1,4

x^2=0, 1, 4. x=0,1,±2

Answer:

x = 1 and x = 2

Step-by-step explanation:

[tex] {x}^{5} - 5 {x}^{3} = - 4x \\ {x}^{4} - 5 {x}^{2} + 4 = 0 \\ ( {x}^{2} - 4)( {x}^{2} - 1)=0[/tex]

x² = 4 or x² = 1

Since x > 0, the negative integers are rejected and the solutions to this equations are x = 1 and x = 2

Answer:

2/9 ÷ 4/3

Step-by-step explanation:

Answer:

P(x) = 4n+5

P(4) = 4(4)+5

P(4) = 16+5

P(4) = 21

The answer is 21.

Let me know if this helps!

Answer:

37500

Step-by-step explanation:

pattern is multiplying by -5.

-7,500*-5 = 37,500

Have a nice day! :-)

Answer:

arc length = 4π units

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{90}{360}[/tex]

     = 2π × 8 × [tex]\frac{1}{4}[/tex]

     = 2π × 2

    = 4π units ← exact answer

Answer:

Step-by-step explanation:

2a.x=10+5

b. x=11-7

C. x=5*2

Answer:

a. x-5=10

x=10+5

x=15

b. x+7=11

x=11-7

x=4

c. x/2=5

x=5*2

x=10

d. 4x=24

x=24/4

x=6

Answer:

It seems like you misunderstood the instructions, though I don't blame you because they wrote it strangely. I believe that you're supposed to draw your own conclusion and then explain how you go there, rather than analyze a conclusion that was already drawn for you. If a long drive=a large fare, and you've been told that the driver has a long drive, you can draw the conclusion that "The fare will be large."

Answer:

[tex]y = 5 {x} + 1[/tex]

when x is 0:

y = 5(0) + 1

y = 1 ( 5th box )

when x is 1:

y = 5(1)+1

y = 6 ( 6th box )

hence true for other values

Answer:

y=0.6x2+5x+1.1

Step-by-step explanation:

gjtgdgjdgdjxjfsbgsyuahjduegd love

Answer:

I think its average

Step-by-step explanation:

not sure:)

Answer: it is average

Step-by-step explanation: just done It

Im pretty sure that its 62.5%

Answer:

62%

Step-by-step explanation:

If you need to round to nearest percent it will be 63%

Answer:

$45.63

Step-by-step explanation:

[tex]50,145 cm^{3} * 2.6 g/cm^3 = 130,377 g\\130,377 g = 130.377 kg\\130.377 kg * $0.35/kg = $45.63\\[/tex]

or all together    

50,145 cm³  *  2.6 g/cm³ * 0.35/kg =  $45.63

Answer:

P (−1)n(n+1)(n+2) (n+1)3 converges

Step-by-step explanation:

Answer:

556

Step-by-step explanation:

Surface area of the cuboid=2*(lb+bh+lh)

Surface area=2*(110+80+88)=556

Answer:

17 =x

Step-by-step explanation:

These are alternate interior angles and alternate interior angles are equal when the lines are parallel

9x+7 = 10x-10

Subtract 9x from each side

9x+7-9x = 10x-10-9x

7 = x-10

Add 10 to each side

7+10 =x-10+10

17 =x

Answer:

The answer is 87

Step-by-step explanation:

Because the parking space are number from 86 to 91

From 86 they add 1 to every number