2. Choose the appropriate symbol to make the following statment true. 0.13

a line passes through the point (-3,-5) and has a slope of 5 write an equation in point slope form for this line

Tanzania [10]

Answer:

$y=5x+10$

Step-by-step explanation:

1) Plug numbers into slope formula to find $b$ .

$y=mx+b$

$-5=5(-3)+b$

2) Simplify to find $b$ .

$-5=-15+b$

$10=b$

3) Check work.

$-5=-15+10$

This statement is true.

4) Write equation.

$y=5x+10$

4 0

2 years ago

4. Rosa plays games at a fair. She can buy 8 game tokens for $ 1. Each game cost 2 tokens. How many games can she play with 120

bezimeni [28]

If each game costs 2 tokens, 120 tokens would equal 60 games.

8 0

3 years ago

A Lua reflete parte da luz solar que nela incide. Admite que: a luz refletida pela Lua demora 1,28 segundos a chegar à Terra; en

Anuta_ua [19.1K]

Answer:

3.84 * 10^8 meters

Step-by-step explanation:

As the speed of light is 300,000,000 meters/second and the time that the light takes to go from the moon to the Earth is 1.28 seconds, we can find the distance using the formula:

Distance = speed * time

So we have that:

Distance = 300,000,000 * 1.28 = 384,000,000 meters

In cientific notation, we need the first number to be in the interval from 1 to 10, so we have 3.84, and we have to multiply by 10^8 to reach our result, so we have:

Distance = 3.84 * 10^8 meters

4 0

3 years ago

A group of rowdy teenagers near a wind turbine decide to place a pair of

Marrrta [24]

Answer:

a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is $y = 9 + 7* sin(\pi * t / 15 - \pi / 6)$

b) Hence the height of the shorts at exactly t = 10 minutes, to

the nearest tenth of a meter is 5.5 meters

Step-by-step explanation:

a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :

$x^2 + (y-yc)^2 = R^2$ ,

where

R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)

= 14 m / 2

= 7 m (radius of the circle)

Also, center of the circle will be at (0, 2 + R) i.e (0,9)

So, is the trajectory path equation to the circle

Let $x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi)$ be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t

At t= 10s, y = 16 m so we have,

$9 + 7 * sin(10* w + \phi) = 16$ ---------------(1)

Also, at t= 25s, y =2 m so we have,

$9 + 7* sin(25 * w +\phi) = 2$ --------------(2)

Solving we have, $10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2$

$15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6$

Therefore $y = 9 + 7* sin(\pi * t / 15 - \pi / 6)$ is the instantaneous height of the pink short at time t ( in seconds)

b) At t= 10minutes = 10 * 60 s = 600s, we have,

$y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)$

= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)

5 0

3 years ago

In two or more sentences, explain how to solve the cube root equation, 3√x−1+2=0

jolli1 [7]

Answer: PEMDAS

Step-by-step explanation: You wanna add 1 to both sides and get 3√x = 1. Then you wanna multiply 3 by 3√x which leaves you with x cause it canceled out. But remember to multiply 3 on both sides so x = 1 sq rt 3. Which is just 1.

x = 1

4 0

3 years ago

2. Choose the appropriate symbol to make the following statment true. 0.13_0.0872