What order do I put it in?

Brian is traveling at a rate of 72.0 meters/second. What speed would he be traveling in miles/hour?

Korvikt [17]

Answer:

we know that, 1miles/hour = 0.45m/s

or, 1meters/second = 1/0.45

1m/s = 2.22222222222

Step-by-step explanation:

Then,

72.0 meters/second = 72.0*2.22222222222

=160 miles per hour.

7 0

3 years ago

Luiza is jumping on a trampoline.

lyudmila [28]

Answer:

The second time when Luiza reaches a height of 1.2 m = 2 08 s

Step-by-step explanation:

Complete Question

Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.

H(t) = -0.6 cos (2pi/2.5)t + 1.5.

What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.

Solution

Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as

H(t) = -0.6cos⁡(2π/2.5)t + 1.5

What is t when H = 1.2 m

1.2 = -0.6cos⁡(2π/2.5)t + 1.5

0.6cos⁡(2π/2.5)t = 1.2 - 1.5 = -0.3

Cos (2π/2.5)t = (0.3/0.6) = 0.5

Note that in radians,

Cos (π/3) = 0.5

This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,

Cos (5π/3) = 0.5

So,

Cos (2π/2.5)t = Cos (5π/3)

(2π/2.5)t = (5π/3)

(2/2.5) × t = (5/3)

t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.

Hope this Helps!!!

4 0

3 years ago

Consider these functions

vitfil [10]

9514 1404 393

Answer:

C. 3x² +24

Step-by-step explanation:

Use the given function definitions and simplify.

$g(f(x))=g\left(\dfrac{1}{3}x^2+4\right)\\\\=9\left(\dfrac{1}{3}x^2+4\right)-12\\\\=3x^2+36-12\\\\\boxed{g(f(x))=3x^2+24}\qquad\textbf{matches C}$

5 0

3 years ago

Solve by graphing.

melisa1 [442]

Given:

The given system of equations is:

$2x+y=1$

$x-2y=8$

To find:

The solution to this system of equations by graphing.

Solution:

We have,

$2x+y=1$

$x-2y=8$

The table of values for first equation is:

x y

0 1

1 -1

Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.

The table of values for second equation is:

x y

0 -4

2 -3

Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.

The graphs of given equations are shown in the below figure.

From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).

Therefore, the solution to this system of equations is:

x-coordinate: 2

y-coordinate: -3

7 0

3 years ago

In a parenting magazine, Mrs. Smith read an advertisement about all the different ways that bleach can be used to kill bacteria.

babymother [125]

Question:

(a) How many bacteria would be found in 24 hours

(b) How many bacteria would be found in 2 days

(c) How long for 1000 bacteria to be found

Answer:

(a) 282429536481 bacteria

(b) $7.97*10^{22$ bacteria

(c) 6 days

Step-by-step explanation:

The question illustrates an exponential function

$y = ab^x$

Where

$a = Initial\ Value = 1$

$b=Rate = 3$ --- i.e. triples

$x = number\ of\ hours$

Solving (a): Bacteria in 24 hours

In this case:

$x = 24$

Substitute $x = 24$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$y = 1 * 3^{24$

$y = 1 * 282429536481$

$y = 282429536481$ bacteria

Solving (b): Bacteria in 2 days

$2\ days =48\ hours$

So:

$x = 48$

Substitute $x = 48$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$y = 1 * 3^{48$

$y =7.97*10^{22$ bacteria

Solving (c): How long for 1000 bacteria

In this case:

$y = 1000$

Substitute $y = 1000$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$1000 = 1 *3^x$

$1000 = 3^x$

Take Log of both sides

$Log1000 = Log3^x$

This gives:

$Log1000 = xLog3$

Make x the subject

$x = \frac{Log1000}{Log3}$

$x \approx 6$

<em>Hence: It takes 6 days</em>

8 0

3 years ago