All categories

3 years ago

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is

1 answer:

4 0

If h is m above the ocean and your trying to find when the rocket reaches that ocean… as the function gives the height above the ocean at a given time, when the height equals 0 the rocket will have reached the ocean so solve for t when h=0. working out in the photo. i got t=48.88seconds

You might be interested in

A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 5 large boxes and 3 small boxes has a t

Hoochie [10]

Let's let the weight of a large box be L, and the weight of a small box be S.

We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120

We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234

You can multiply the first equation by 3 to get:
15L + 9S = 360

See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
8L = 126
L = 15.75

Now sub this value back into an equation:
(5x15.75) + 3S = 120
3S = 41.25
S = 13.75

Double check these values
(7x15.75) + (9x13.75)
= 110.25 + 123.75
=234, which is consistent with above.

So a large box is 15.75kg, and a small box is 13.75kg.

Hope this helped

5 0

3 years ago

We add the scale factor to each length of an image to get the scaled copy.<br> -True or False?

Anit [1.1K]

Answer:

false

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

original dimensions / scale of the drawing = dimensions of the scale drawing

To scale an image, divide the original length by the scale

for example the length of the image is 100 and the scale factor is 4

the length of the scale copy = 100/4 = 25

4 0

3 years ago

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 22 days and

Alika [10]

Answer:

25.5 days

Step-by-step explanation:

Mean number of days (μ) = 22 days

Standard deviation (σ) = 6 days

Z-score for the 72nd percentile (according to tabulated values) = 0.583

The z-score for any number of days, X, is determined by:

$z=\frac{X-\mu}{\sigma}$

The value of X that is greater than 72% of the trial times is:

$0.583=\frac{X-22}{6}\\ X=25.5\ days$

Therefore, 72% of all of these types of trials are completed within 25.5 days.

6 0

3 years ago

Anne runs 6 laps on a track. She runs a total of 1 mile or 5,280 feet. Write and solve an equation to find the distance, in feet

attashe74 [19]

You could use the equation: 5,280/6= 880

6 0

3 years ago

A bicycle rider increases his speed from 5 m/s to 15 m/s in 10 seconds

valentina_108 [34]

To find the acceleration of the bicycle rider, we are going to use the acceleration formula: $a= \frac{v_{f}-v_{i}}{t}$
where
$a$ is the acceleration
$v_{i}$ is the initial speed
$v_{f}$ is the final speed
$t$ is the time

We know from our problem that increases his speed from 5 m/s to 15 m/s in 10 seconds, so his initial speed is 5 m/s and his final speed is 15 m/s; therefore, $v_{i}=5$ , $v_{f}=15$ , and $t=10$ . Lets replace those values in our formula:
$a= \frac{v_{f}-v_{i}}{t}$
$a= \frac{15-5}{10}$
$a= \frac{10}{10}$
$a=1$

We can conclude that the acceleration of the bicycle rider 1 m/s^2

4 0

3 years ago