Which linear equation represents the graph? A)y=3x+6 B)y=3x-3 C)y=-3x+6 D)y=-3x-6

Vinvika [58]

10 runners ran fewer than 4 km

4 0

3 years ago

If a simple harmonic motion is described by x = 3 cos(πt), starting from t = 0 s, what is the first occurrence of a value of t f

poizon [28]

Answer:

The first occurence of t for which x = 0 is t = 0.5.

Step-by-step explanation:

The harmonic motion is described by the following equation.

$x(t) = 3\cos{\pi t}$

What is the first occurrence of a value of t for which x = 0?

This is t when $x(t) = 0$ . So

$x(t) = 3\cos{\pi t}$

$3\cos{\pi t} = 0$

$\cos{\pi t} = \frac{0}{3}$

$\cos{\pi t} = 0$

The inverse of the cosine is the arcosine. So we apply the arcosine function to both sides of the equality.

$\arccos{\cos{\pi t}} = \arccos{0}$

$\pi t = \frac{\pi}{2}$

$t = \frac{\pi}{2 \pi}$

$t = \frac{1}{2}$

$t = 0.5$

The first occurence of t for which x = 0 is t = 0.5.

3 0

3 years ago

Equivalent expressions of z+(z+6)

Gennadij [26K]

Answer:

2z+6 or 2(z+3) are the equivalent expressions

Step-by-step explanation:

z+(z+6)

opening the brackets

z+z+6

=2z+6

or if we take 2 as common the answer is

=2(z+3)

i hope this will help you :)

3 0

3 years ago

Read 2 more answers

A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet. After 7 minutes it is at a height of 590

Jet001 [13]

Let's assume

height of plane in feet =h

time in minutes =t

we are given

A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet

so, we get one point as (5,6500)

After 7 minutes it is at a height of 5900 feet

so, we get another point as (7,5900)

we can use point slope form of line

$y-y_1=m(x-x_1)$

points as

(5,6500)

x1=5, y1=6500

(7,5900)

x2=7 , y2=5900

Calculation of slope(m):

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{5900-6500}{7-5}$

$m=-300$

Equation of line:

we can use formula

$y-y_1=m(x-x_1)$

we can plug values

$h-6500=-300(t-5)$

$h=-300t+8000$

Time of landing:

we can set h=0

and then we can solve for t

$h=-300t+8000=0$

$t=\frac{80}{3}min$ ..............Answer

5 0

4 years ago

D. 3, 7, 13, 21, 31. Cual es la expresión algebraica??

ololo11 [35]

Answer:

d. 3, 7, 13, 21, 31.

Cual es la expresión algebraica??

Step-by-step explanation:

d. 3, 7, 13, 21, 31.

Cual es la expresión algebraica??d. 3, 7, 13, 21, 31.

Cual es la expresión algebraica??

3 0

3 years ago