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3 years ago

What follows in this line 3, -6, 12, 4, 20, ?

1 answer:

4 0

First differences are -9, +18, -8, +16, suggesting that the next ones will be -7, +14.

Hence, the next two terms might be expected to be 13, 27.

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Zuri is stuck in traffic. She notices that she only drove 3 miles in 15 minutes.

makkiz [27]

Answer:

0.2

Step-by-step explanation:

3/15=0.2

6 0

3 years ago

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Oliga [24]

Answer:

$\displaystyle 1)48.2 \: \: \text{sec}$

$\rm \displaystyle 2)3021.6 \: m$

Step-by-step explanation:

<h3>Question-1:</h3>

so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

$\displaystyle - 4.9 {t}^{2} + 229t + 346 = 0$

to solve the equation can consider the quadratic formula given by

$\displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a}$

so let our a,b and c be -4.9,229 and 346 Thus substitute:

$\rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

remove parentheses:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

simplify square:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}$

simplify multiplication:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8}$

simplify Substraction:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8}$

by simplifying we acquire:

$\displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5$

since time can't be negative

$\displaystyle t = 48.2$

hence,

at 48.2 seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

$\displaystyle x _{ \text{max}} = \frac{ - b}{2a}$

let a and b be -4.9 and 229 respectively thus substitute:

$\displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)}$

simplify which yields:

$\displaystyle t _{ \text{max}} = 23.4$

now plug in the maximum t to the function:

$\rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346$

simplify:

$\rm \displaystyle h(23.4) = 3021.6$

hence,

about 3021.6 meters high above sea-level the rocket gets at its peak?

5 0

2 years ago

Mrs. Smith has 12 times as many markers as colored pencils. The total number of markers and colored pencils is 78. How many mark

yanalaym [24]

The answer is 930, because 78 multiply 12 is 930.

3 0

3 years ago

Read 2 more answers

What is the value of |−44|?

yan [13]

Absolute value is simply the distance from zero on a number line. -44 is 44 away from zero, so the absolute value of -44 is

44

8 0

3 years ago

Read 2 more answers

If a canoe travels with a speed of A mph for 3 hours, and then with a speed of B mph for the rest of the journey, how long does

mylen [45]

For time-speed-distance problems, you use the relationship
.. speed = distance/time
in any of its various forms.

The distance traveled at A mph is
.. distance = speed * time
.. distance = A*3

The time required for the rest of the journey is
.. time = distance / speed
.. time = (C -3A)/B

The the total time required to travel C miles is the 3 hours for the first part plus the time for the rest of the journey.
.. total journey time = 3 + (C -3A)B . . . . . hours

4 0

3 years ago