Given f(x) =1/(x^2+4) and g(x) = square root (x+1) Find g(f(x)).

Answer:

132 particles

Step-by-step explanation:

5 minutes =  11 miles

1 hour (60 minutes)

11*x = 11 x 60 = 660

11x = 660/5=132

The distance of a jet stream can move a particle of air 132 miles in 1 hour.

Here,

A jet stream can move a particle of air 11 miles in 5 minutes.

We have to find, The distance of particles move in 1 hour.

What is distance?

The length along a line or line segment between two points on the line or line segment.

Now,

A jet stream can move a particle of air 11 miles in 5 minutes.

5 minutes = 11 miles

Then, for 1 minute a jet stream can move a particle of air = 11 / 5 miles

Hence, In 1 hour ( 60 minutes) a jet stream can move a particle of air;

⇒ [tex]\frac{11}{5} * 60 = 132[/tex]

So, The distance of a jet stream can move a particle of air 132 miles in 1 hour.

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Distance = (Rate)(Time)

Let x = speed of slower train

     x + 17 = speed of faster train

The trains meet when the sum of the distances = 1285

5x + 5(x+17) = 1285

(5 came from 5 hours)

10x + 85 = 1285

10x = 1200

 x = 120 mph

The speeds are 120 mph and 137 mph

wyzant

9514 1404 393

Answer:

  (6.8, 0.7)

Step-by-step explanation:

That point is ...

  A + (7/10)(B -A)

  = (-3, -7) +(7/10)(11 -(-3), 4 -(-7)) = (-3, -7) +7/10(14, 11)

  = (-3, -7) +(9.8, 7.7) = (6.8, 0.7)

The point 7/10 from A to B is (6.8, 0.7).

Answer:

D ig?

Step-by-step explanation:

Because opposite angles are equal in parallelogram

[tex]\\ \sf\longmapsto 0.49=\dfrac{49}{100}[/tex]

[tex]\\ \sf\longmapsto 0.093=\dfrac{93}{1000}[/tex]

[tex]\\ \sf\longmapsto 0.021=\dfrac{21}{1000}[/tex]

[tex]\\ \sf\longmapsto 0.103=\dfrac{103}{1000}[/tex]

Answer:

-36

Step-by-step explanation:

-7+1[3-32]

= -7-29

= -36

Answer:

-1/10

Step-by-step explanation:

(5/(-10))/5 = -(5/10)/5 = 1/10

(Hopefully this helped you out!)

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

B=Product

C=polynominal

D=distirbutive property

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf x = 17}[/tex]

Step-by-step explanation:

Since m is a straight line, its measure is 180 degrees.

So,

2x + 5 + 8x + 5 = 180

2x + 8x + 5 + 5 = 180

10x + 10 = 180

10x = 180 - 10

10x = 170

Divide both sides by 10

x = 17

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

5/10, 1, 2/4,

Step-by-step explanation:

Answer and Step-by-step explanation:

An easy way of doing this is to first square root the numerator and the denominator.

[tex]\sqrt{\frac{36}{81} } =\frac{\sqrt{36}}{\sqrt{81} } =[/tex] ±[tex]\frac{6}{9} =[/tex] ±[tex]\frac{2}{3}[/tex] <- This is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

[tex] \frac{ - 1}{3} - ( - \frac{1}{2} ) \\ \frac{ - 1}{3} + \frac{1}{2} ( - \times - = + ) \\ = \frac{ - 2 + 3}{6} \\ = \frac{1}{6} \\ thank \: you[/tex]

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] - \frac{1}{3} - ( - \frac{1}{2} )[/tex]

[tex] - \frac{1}{3} + \frac{1}{2} [/tex]

[tex] \frac{ - 2 + 3}{ 6} [/tex]

[tex] = \frac{1}{6} [/tex]

Answer:

r = (-4,9]

Step-by-step explanation:

hope this will help

Answer:

-4<y≤2

Step-by-step explanation:

The range of a graph is the range of the y values.

92.000.070.108

Step-by-step explanation:

Thousand has 3 zeros, a million has 6 and a billion has 9.

So for ninety-two billion, you take 92 and add 9 zeros behind it because a billion has 9 zeros

(92.000.000.000)

Answer:

18.63

Step-by-step explanation:

[tex] \frac{6}{10} = 0.6 \\ \frac{3}{100} = 0.03[/tex]

[tex]10 + 8 + 0.6 + 0.03 = 18.63[/tex]

Answer:

Step-by-step explanation:

x - first

x + 12 - second

x + (x + 12) = 44

2x=44-12

x=16

first number is 16

second number is 16+12=28

two numbers are 16 and 28

16 and 28 are the required two numbers when one number exceeds another by 12 and their sum is 44

One number exceeds another by 12 and their sum is 44

We need to find the two numbers

Two expressions with equal sign is called equation.

Let x be the first number

x + 12 be the  second number

x + (x + 12) = 44

2x=44-12

x=16

Therefore first number is 16

second number is 16+12=28

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Answer:

B

Step-by-step explanation:

Let the two numbers be a and b.

The product of the two is 120 and their sum of their squares is 289. In other words:

[tex]\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289[/tex]

And we want to find the sum of the two numbers.

We can use the perfect square trinomial. Recall that:

[tex]a^2 + 2ab + b^2 = (a+b)^2[/tex]

From the first equation, multiply by two:

[tex]2ab = 240[/tex]

Add the two equations together:

[tex](a^2+b^2)+(2ab) = (289)+(240)[/tex]

Simplify and rewrite:

[tex]a^2+2ab+b^2 = 529[/tex]

Factor using the perfect square trinomial pattern:

[tex](a+b)^2 = 529[/tex]

And take the square root of both sides:

[tex]\displaystyle a + b = \pm\sqrt{529} = \pm23[/tex]

Hence, the sum of the two numbers is 23 or -23.

In conclusion, our answer is B.

Answer:

Which describes the relationship between the distance and the difference? The distance is always the opposite of the difference. ... The distance is the absolute value of the difference.

Answer:

The correct answer is the third one. CIRCUMFERENCE

Answer:

B

Step-by-step explanation:

It just is

Answer:

c

Step-by-step explanation:

i search it up

Step-by-step explanation:

(A) 42,40

(B) T(n) = 50 + (n-1)(-2)

= 50+2-2n

= 52-2n

(C) T(100) = 52 - 2(100)

= 52- 200

= - 148

Answer:

B)

Step-by-step explanation:

3.0 / .1 = 0.3

Answer:

3×1/10=0.3 in decimals.

Step-by-step explanation:

3×1÷10

3÷10

0.3

Answer:

so we have 4/3 divided by 7/4

= 4/3 * 4/7

= 4*4/3*7

= 16/21

Step-by-step explanation:

answer from gauth math

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Answer:

  p = 12

Step-by-step explanation:

The sines of the opposite angles are the same, so the lengths of the sides are the same.

  p = 12

_____

The law of sines tells you ...

  p/sin(P) = r/sin(R)

  p/0.2 = 12/0.2 . . . . . . substitute given values

Multiply by 0.2 to get ...

  p(0.2/0.2) = 12(0.2/0.2)

  p = 12

9514 1404 393

Answer:

Step-by-step explanation:

1. The ratio is ...

  (6 in)/(8 in) = 6/8 = 3/4

__

2. The scaled dimensions are ...

  6 in × 3 = 18 in (vertical side)

  8 in × 3 = 24 in (horizontal side)

__

3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.

Answer:

x-3

Step-by-step explanation:

the inverse is x-3

this is the answer

9514 1404 393

Answer:

  g(f(4)) = 9

Step-by-step explanation:

Put the argument value where the variable is and do the arithmetic.

  g(f(4)) = g(4 -7) = g(-3) = (-3)^2

  g(f(4)) = 9