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2 years ago

Soda cans move along a conveyor belt at a constant rate. When each can reaches the

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

3 0

Answer:

yeah so you just do that

Step-by-step explanation:

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A marathon is 26.2 miles long. There is a water station every 114 miles along the race route. How many water stations are needed

Aleks [24]

Answer:

I think 21

Step-by-step explanation:

7 0

3 years ago

Evaluate the expression 8x when x=2.

Dmitry [639]

Answer:

Step-by-step explanation:

substitute

8(2)

parenthesis mean multiplication

3 0

3 years ago

Read 2 more answers

Write the equation in function form:<br> 3y - 12x = 0

ivanzaharov [21]

Answer: 4x

Step-by-step explanation: Move all terms that don't contain y to the right side and solve. y = 4x

6 0

2 years ago

Read 2 more answers

3.2] I can rearrange formulas to solve for a specified variable.<br><br> Solve for r.<br> h=r-m

Lesechka [4]

Answer:

r = h + m

Step-by-step explanation:

h = r - m

Switch sides.

r - m = h

Add m to both sides.

r - m + m = h + m

Simplify the left side. -m + m = 0

r = h + m

6 0

2 years ago

The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equationC(t)=100t/t^2+25where t

alisha [4.7K]

Answer:

It will take 5 hours until it reaches its maximum concentration.

Step-by-step explanation:

The maximum concentration will happen in t hours. t is found when

$C'(t) = 0$

In this problem

$C(t) = \frac{100t}{t^{2} + 25}$

Applying the quotient derivative formula

$C'(t) = \frac{(100t)'(t^{2} + 25) - (t^{2} + 25)'(100t)}{(t^{2} + 25)^{2}}$

$C'(t) = \frac{100t^{2} + 2500 - 200t^{2}}{(t^{2} + 25)^{2}}$

$C'(t) = \frac{-100t^{2} + 2500}{(t^{2} + 25)^{2}}$

A fraction is equal to zero when the numerator is 0. So

$-100t^{2} + 2500 = 0$

$100t^{2} = 2500$

$t^{2} = 25$

$t = \pm \sqrt{25}$

$t = \pm 5$

We use only positive value.

It will take 5 hours until it reaches its maximum concentration.

4 0

2 years ago