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Anni [7]
3 years ago
13

Work out th following in standard form 3000 x 5000

Mathematics
2 answers:
WITCHER [35]3 years ago
8 0
3000 × 5000

3 × 1000 × 5 × 1000                  ;            1000 = 10³

3 × 5 × 1000 × 1000

3 × 5 × 10³ × 10³

15 × 10³ × 10³

1.5 x 10¹ × 10³ × 10³

1.5 × 10¹ ⁺ ³ ⁺ ³

1.5 × 10⁷

So in standard form = 1.5 × 10⁷
Sedaia [141]3 years ago
5 0
5x10^3 is the answer 
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I don’t know how to do this. Can you help please help me ?
N76 [4]

Answer:

  • sin = -√3/2
  • cos = -1/2
  • tan = √3
  • sec = -2
  • csc = (-2/3)√3
  • cot = (√3)/3

Step-by-step explanation:

See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:

  sin(4π/3) = -√3/2

  cos(4π/3) = -1/2

  tan(4π/3) = sin/cos = √3

  sec(4π/3) = 1/cos = -2

  csc(4π/3) = 1/sin = -(2√3)/3

  cot(4π/3) = 1/tan = (√3)/3

_____

<em>Additional comment</em>

It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.

3 0
3 years ago
H(x) = x2<br> j(x) = 2x2-5<br> find h(x) - j(x)
yKpoI14uk [10]

Answer:

Step-by-step explanation:

h(x) - j(x) => x^2-(2x^2-5)

The negative sign out in front of the set of parenthesis changes the signs of everything inside the parenthesis, so now we have, without parenthesis:

x^2-2x^2+5 which simplifies down to

-x^2+5

4 0
3 years ago
Which number line represents x2=16
Ivenika [448]

Answer:

8

Step-by-step explanation:

Well 2x=16 is the same as x=8 when you divide by 2. So the dot should be on 8.

6 0
3 years ago
Read 2 more answers
Help please
rusak2 [61]

Answer:

  • See below

Step-by-step explanation:

f(x) is quadratic function and g(x) is linear (since AP in the right column).

<u>Find the equation of the function f(x), use the points on the graph:</u>

  • f(x) = ax² + bx + c
  • c = 5 as the y-intercept is (0, 5)
  • a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
  • a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4

<u>The function is:</u>

  • f(x) = -x² + 4x + 5

Find the equation of g(x)

<u>Find the slope of g(x):</u>

  • m = (1 - 7)/(-1 + 4) = -2

<u>Use (-4, 7) to find its equation:</u>

  • y - 7 = -2(x + 4)
  • y = -2x + 7 - 8
  • y = -2x - 1
<h3>See the required comparison below</h3>

<u>The y-intercepts:</u>

  • f(x) ⇒ 5,
  • g(x) ⇒ -1
  • -5 < - 1

<u>Values at x = 3:</u>

  • f(3) = -3² + 4(3) + 5 = 8
  • g(3) = -2(3) - 1 = - 7
  • 8 > 7

<u>Average rate of change in the interval [2,5]:</u>

  • f(x) ⇒ (0 - 9)/(5 - 2) = -3
  • g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
  • -3 < -2

<u>Max of function in the interval [-5, 5];</u>

  • f(x) ⇒ 9, vertex of the function
  • g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
  • 9 = 9
4 0
3 years ago
Read 2 more answers
Which of the following can be the side lengths of a triangle?
kogti [31]
<span>In a triangle the sum of two sides is always greater than the third side.

</span><span>A:12,9,21
</span><span>12+9 = 21
21 = 21  </span>⇒  no

<span>B:7,6,12
</span>7+6 = 13
13 > 12  ⇒  yes

<span>C:3,8,14
</span>3+8 = 11
11 < 14  ⇒  no

<span>D:23,13,37
</span>23+13= 36
36 < 37  ⇒  no

Answer: <span>B:7,6,12</span>
7 0
3 years ago
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