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2 years ago

What is metamorphosis

Mathematics

1 answer:

Lena [83]2 years ago

3 0

Answer:

The transformation of an organism throughout life :)

Step-by-step explanation:

This can be seen through the life of frogs, butterflies, moths, and more!

Have an amazing day!!

Please rate and mark brainliest!!

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There are only green pens and red pens in a box. there are 3 more red pens than green pens in the box. sheila is going to take a

e-lub [12.9K]

Answer: 6 or 9

Step-by-step explanation:

Given the following :

Let the number of green pens = x

Number of red pens = x + 3

Probability of picking same color = 17/35

Taking two pens at random; probability of picking two pens of same color.

Probability of picking red on first pick then red on second pick ; or picking blue on first pick then blue on second pick

Probability = (Required outcome / Total possible outcomes)

Total number of pens = x + x + 3 = 2x + 3

Probability of picking red then red:

P(red first) = (x+3)/2x+3

P(red second) = x+3-1 / 2x+3-1 = (x+2)/2x+2)

Therefore, probability of red then red =

(x+3)/(2x+3) × (x+2)/2x+2)

= (x+3)(x+2) / (2x+3)(2x+2)

Probability of green then green:

P(first green) = x/(2x+3)

P(second green) = (x-1) / (2x+3-1) = (x-1) / (2x+2)

P(green then green) = x(x-1)/(2x+3)(2x+2)

Therefore,

[(x+3)(x+2) / (2x+3)(2x+2)] + [x(x-1)/(2x+3)(2x+2)] = 17/35

(x+3)(x+2)+x(x-1) / (2x+3)(2x+2) = 17/35

Cross multiply :

35(x+3)(x+2)+x(x-1) = 17(2x+3)(2x+2)

35(2x^2 + 4x + 6) = 17(4x^2 + 10x + 6)

70x^2 + 140x + 210 = 68x^2 + 170x + 102

70x^2 - 68x^2 + 140x - 170x + 210 - 102 = 0

2x^2 - 30x + 108 = 0

Now we have a quadratic equation which can be factoeized used using any known factorization method.

Factorizing this, we get

(x-6) = 0 or (x-9) = 0

x = 6 or x = 9

6 0

4 years ago

Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6

lora16 [44]

Answer:

The answer is the option C

graph of $3x$ minus $3$ , with discontinuity at negative $2$ , negative $9$

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}+9x-18}{3x+6}$

Simplify

$f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}$

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}$

Step 1

Convert to a factored form the numerator

$x^{2}+x-2=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}+x=2$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}+x+0.25=2+0.25$

$x^{2}+x+0.25=2.25$

Rewrite as perfect squares

$(x+0.5)^{2}=2.25$

Square root both sides

$x+0.5=(+/-)1.5$

$x=-0.5(+/-)1.5$

$x=-0.5+1.5=1$

$x=-0.5-1.5=-2$

$x^{2}+x-2=(x-1)(x+2)$

Step 2

Simplify the function f(x)

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}=3\frac{(x-1)(x+2)}{(x+2)}$

The domain of the function f(x) is all real numbers except the number $x=-2$

Because the denominator can not be zero

$f(x)=3\frac{(x-1)(x+2)}{(x+2)}=3(x-1)=3x-3$

$f(x)=3x-3$ ------> with a discontinuity at $x=-2$

$f(-2)=3(-2)-3=-9$

The discontinuity is at point $(-2,-9)$

the answer in the attached figure

8 0

4 years ago

Read 2 more answers

Maria rides her bike on the same route each day. The table shows the relationship between the days (d) Maria rides her bike and

horsena [70]

Answer:

Step-by-step explanation:

8 0

3 years ago

A baseball player running forward at 3 meters per second throws a ball with a velocity of 20 meters per second at an angle of 20

Gwar [14]

Answer:

22.8 m/s at 17.4°

Step-by-step explanation:

Horizontal component:

vₓ = 3 + 20 cos 20° = 21.8

Vertical component:

vᵧ = 0 + 20 sin 20° = 6.84

Magnitude:

v² = vₓ² + vᵧ²

v² = (21.8)² + (6.84)²

v = 22.8 m/s

Direction:

θ = atan(vᵧ / vₓ)

θ = atan(6.84 / 21.8)

θ = 17.4°

5 0

3 years ago

Read 2 more answers

Wendy's restaurant has been recognized for having the fastest average service time among fast food restaurants. In a benchmark s

VikaD [51]

Answer:

(a) 0.2885

(b) 0.0736

Step-by-step explanation:

The exponential distribution of Wendy's service time is given by:

P(x) = [exp (-x/μ)]/μ............................................................................ (1)

P(x) = Probability function

x = Service time, in minute

μ = average service team, in minute, 2.2 minutes

(a) x= 1, substituting into equation (1) we have:

P(1) = [exp (-1/2.2)]/2.2

= 0.6347/2.2

= 0.2885

(b) x₁ = 0.5 minutes

x₂ = 1 minute

P (0.5<x<1) = P(0.5) -P(1) ----------------------------------------------- (2)

From (a), P (1) = 0.2885

P(0.5) =P(1) = [exp (-0.5/2.2)]/2.2

= 0.7967/2.2

= 0.3621

Substituting into (2), we have :

P (0.5<x<1) = 0.3621 -0.2885

= 0.0736

= 0.1030/2.2

= 0.0468

7 0

3 years ago

What is metamorphosis ​

What is metamorphosis