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Maru [420]
3 years ago
14

If a boat traveled 27 miles in 2 hours . At this rate how many miles will the boat travel in 1/2 hour?

Mathematics
1 answer:
ozzi3 years ago
4 0

The boat traveled 6.75 miles in half an hour. You get this by dividing 27 by 4 (because there is 4 half hour segments in 2 hours).

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Suppose a spherical balloon grows in such a way that after t seconds, its volume is V = 4 sqrt(t) cm3. What is the volume of the
Arisa [49]
:<span>  </span><span>You need to know the derivative of the sqrt function. Remember that sqrt(x) = x^(1/2), and that (d x^a)/(dx) = a x^(a-1). So (d sqrt(x))/(dx) = (d x^(1/2))/(dx) = (1/2) x^((1/2)-1) = (1/2) x^(-1/2) = 1/(2 x^(1/2)) = 1/(2 sqrt(x)). 

There is a subtle shift in meaning in the use of t. If you say "after t seconds", t is a dimensionless quantity, such as 169. Also in the formula V = 4 sqrt(t) cm3, t is apparently dimensionless. But if you say "t = 169 seconds", t has dimension time, measured in the unit of seconds, and also expressing speed of change of V as (dV)/(dt) presupposes that t has dimension time. But you can't mix formulas in which t is dimensionless with formulas in which t is dimensioned. 

Below I treat t as being dimensionless. So where t is supposed to stand for time I write "t seconds" instead of just "t".

Then (dV)/(d(t seconds)) = (d 4 sqrt(t))/(dt) cm3/s = 4 (d sqrt(t))/(dt) cm3/s = 4 / (2 sqrt(t)) cm3/s = 2 / (sqrt(t)) cm3/s. 

Plugging in t = 169 gives 2/13 cm3/s.</span>
4 0
3 years ago
Solve pls brainliest
Murrr4er [49]

Answer:

-1, -24

Step-by-step explanation:

-9-(-8)

double negative = positive

-9+8=-1

21-45=-24

6 0
2 years ago
What is the slope intercept form of the points -3,-10 and 5,14
Ksenya-84 [330]

Answer:

y = 3x - 1

The slope intercept is -1.

To find the slope, do the formula (y sub2 minus y sub1)/(x sub2 minus x sub1) then reduce.

(14 - (-10))(5 - (-3)) = 24/8

24/8 = 3

4 0
2 years ago
Hi!! So I am doing test corrections for a test that I did bad on but I need to know what is the equation for this??
Sedaia [141]

Answer:

u can use fraction calculator

Step-by-step explanation:

just go and search 'fraction calculator'

8 0
2 years ago
Derivative of modulus of cosx​
quester [9]

Answer:

sin(mod(π/2 -x, π) -π/2) . . . . except undefined at odd multiples of π/2

Step-by-step explanation:

The derivative of the modulus of the cosine function is the same as the derivative of the cosine function between cusps: -sin(x), for -π/2 < x < π/2.

There are many ways to make that pattern repeat with period π. one of them is this:

(d/dx)|cos(x)| = sin(mod(π/2 -x, π) -π/2) . . . . . except undefined at x=π/2+kπ, k any integer

___

The graph shows the modulus of the cosine function along with its derivative as computed by the graphing calculator and its derivative as defined above.

7 0
3 years ago
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