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musickatia [10]
3 years ago
9

Factor the expression 16j^+24j+9. Thank u I appreciate it

Mathematics
1 answer:
meriva3 years ago
7 0
Factor the expression.
3(128j+3)
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A laser travels from glass to water at an angle of 35° with the normal, Θ1. If water has an index of refraction of 1.33 and glas
umka2103 [35]
When light moves from one medium to another, it is refracted. If it moves from a medium with refractive index n1 to one with refractive index n2, with an incidence angle to the surface normal of θ1, the refraction angle θ2 can be calculated from Snell's law.

The Snell's law states that the ratio of the sines of the angles of incidence and refraction of a wave (in this case beam/light) are constant when it passes between two given media.

n_1\sin\theta_1=n_2\sin\theta_2

Given that a <span>laser travels from glass to water at an angle of 35° with the normal, </span>\theta_1<span>. If water has an index of refraction of 1.33 and glass has an index of refraction of 1.52, then we have:

</span>1.52\sin35^o=1.33\sin\theta_2 \\  \\ \Rightarrow\sin\theta_2= \frac{1.52\sin35^o}{1.33} =0.6555\therefore\theta_2=\sin^{-1}0.6555\approx41^o<span>
</span>
7 0
3 years ago
In 1994, the moose population in a park was measured to be 3000. By 1998, the population was measured
dem82 [27]

Answer:

  P(t) = 100t +2600

  4100 in 2005

Step-by-step explanation:

You are given two points for (year, population) = (t, p):

  (4, 3000), (8, 3400)

It is useful to use the two-point form of the equation for a line.

  p = (p2 -p1)/(t2 -t1)(t -t1) +p1

  p = (3400 -3000)/(8 -4)(t -4) +3000

  p = 400/4(t -4) +3000

  p = 100t +2600

  P(t) = 100t +2600 . . . . written in functional form

In 2005, the population is predicted to be ...

  P(15) = 100×15 +2600 = 4100

6 0
3 years ago
Help plz!!<br> <img src="https://tex.z-dn.net/?f=x%5E2-x-6%3D0" id="TexFormula1" title="x^2-x-6=0" alt="x^2-x-6=0" align="absmid
Black_prince [1.1K]

Answer:

x = - 2, x = 3

Step-by-step explanation:

Given

x² - x - 6 = 0

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)

The factors are + 2 and - 3 , since

2 × - 3 = - 6 and 2 - 3 = - 1 , then

(x + 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 3 = 0 ⇒ x = 3

8 0
2 years ago
Read 2 more answers
Factor the expression and then evaluate without a calculator: 3·(m−4)−n·(m−4), if m=5, and n=4 : The factored expression is ___,
vlada-n [284]

Answer:

-1

Step-by-step explanation:

equation:

3(5-4)-4(5-4)

3*5-3*4 -4*5-4*-4

15-12-20+16

3-4

-1

6 0
3 years ago
What is 10984 rounded to the nearest 10 thousand?
Gelneren [198K]
10984 rounded to the nearest thousand is 11,000  

3 0
3 years ago
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