If the company makes 50 deliveries in 5 days, he makes 50/5=10 deliveries per day. Therefore, 400 deliveries will take 400/10=40 days. D is the correct answer.

3 0

3 years ago

What is (x² + 7x + 6) divided by (x + 1)?<br>X-6<br>- 7<br>X + 6<br>x + 7<br>need answer ASAP

hram777 [196]

Answer:

Step-by-step explanation:

hello :

x+6 because : (x+6)(x+1) =x²+x+6x+6=x² + 7x + 6)

7 0

3 years ago

A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:

Lady bird [3.3K]

Using derivatives, it is found that:

i) $v(t) = 3t^2 - 6t$

ii) 9 m/s.

iii) $a(t) = 6t - 6$

iv) 6 m/s².

v) 1 second.

<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>

The velocity is the derivative of the position.

The acceleration is the derivative of the velocity.

In this problem, the position is:

$s(t) = t^3 - 3t^2 + 8$

item i:

Velocity is the <u>derivative of the position</u>, hence:

$v(t) = 3t^2 - 6t$

Item ii:

$v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9$

The speed is of 9 m/s.

Item iii:

Derivative of the velocity, hence:

$a(t) = 6t - 6$

Item iv:

$a(2) = 6(2) - 6 = 6$

The acceleration is of 6 m/s².

Item v:

t for which a(t) = 0, hence:

$6t - 6 = 0$

$6t = 6$

$t = \frac{6}{6}$

$t = 1$

Hence 1 second.

You can learn more about derivatives at brainly.com/question/14800626

7 0

2 years ago