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BigorU [14]
2 years ago
15

What is the domain of the function y=

Mathematics
1 answer:
alex41 [277]2 years ago
4 0

Step-by-step explanation:

answer and explanation is pinned

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Round 0.485 correct to 1 significant figure
yanalaym [24]

Answer:

0.5

Step-by-step explanation:

the first significant figure is the non zero

6 0
2 years ago
PLEASE HELP ITS URGENT
Bogdan [553]

Answer: its b

Step-by-step explanation:

8 0
3 years ago
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A particle is projected with a velocity of <img src="https://tex.z-dn.net/?f=40ms%5E-%5E1" id="TexFormula1" title="40ms^-^1" alt
Katena32 [7]

Answer:

2\sqrt{55}\text{ m/s or }\approx 14.8\text{m/s}

Step-by-step explanation:

The vertical component of the initial launch can be found using basic trigonometry. In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. Let the vertical component at launch be y. The magnitude of 40\text{ m/s} will be the hypotenuse, and the relevant angle is the angle to the horizontal at launch. Since we're given that the angle of elevation is 60^{\circ}, we have:

\sin 60^{\circ}=\frac{y}{40},\\y=40\sin 60^{\circ},\\y=20\sqrt{3}(Recall that \sin 60^{\circ}=\frac{\sqrt{3}}{2})

Now that we've found the vertical component of the velocity and launch, we can use kinematics equation v_f^2=v_i^2+2a\Delta y to solve this problem, where v_f/v_i is final and initial velocity, respectively, a is acceleration, and \Delta y is distance travelled. The only acceleration is acceleration due to gravity, which is approximately 9.8\:\mathrm{m/s^2}. However, since the projectile is moving up and gravity is pulling down, acceleration should be negative, represent the direction of the acceleration.

What we know:

  • v_i=20\sqrt{3}\text{ m/s}
  • a=-9.8\:\mathrm{m/s^2}
  • \Delta y =50\text{ m}

Solving for v_f:

v_f^2=(20\sqrt{3})^2+2(-9.8)(50),\\v_f^2=1200-980,\\v_f^2=220,\\v_f=\sqrt{220}=\boxed{2\sqrt{55}\text{ m/s}}

3 0
3 years ago
Find an equation of the circle that has center (-4, 1) and passes through (3, -5)
Lemur [1.5K]

The general equation for a circle with center (a,b) and squared radius k is


(x-a)^2 + (y-b)^2 = k


Here we have


(x- - 4)^2 + (y -1)^2 = k


and the constant is fixed by substituting in the point we know (x,y)=(3,-5)


(x + 4)^2 + (y-1)^2 = (3+4)^2 + (-5-1)^2 = 85


Answer:


(x + 4)^2 + (y-1)^2 = 85


5 0
3 years ago
10 POINTS IDENTIFY THE SLOPE, Y-INTERCEPT AND GRAPH.<br> 1. Y = 2x + 3<br> 2. Y = 3/4x - 2
Alenkasestr [34]

Answer for problem 1: slope = 2, y intercept = 3

Answer for problem 2: slope = 3/4, y intercept = -2

Explanation:

Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).

4 0
3 years ago
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