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3 years ago

Can someone please explain

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

7 0

Its way to late so no but ya

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a runner wants to run 1000 miles in one year. if he runs the same number everyday, use compatible numbers to estimate the number

vampirchik [111]

2.73972603 or ... you can round to the nearest tenth... 2.7

7 0

4 years ago

Read 2 more answers

2. The number of atoms of a particular chemical element is modelled by

____ [38]

9514 1404 393

Answer:

a) 600

b) see below

c) 1.26 hours

Step-by-step explanation:

a) The value of y when x=0 is the coefficient of the exponential term:

y = 600·3^(-0) = 600·1 = 600

There were 600 atoms to start.

b) see attached for a graph

c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.

If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.

150 = 600·3^(-x)

150/600 = 3^(-x)

log(1/4) = -x·log(3)

x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595

After about 1.26 hours, there were 150 atoms.

6 0

3 years ago

Find the particular solution that satisfies the differential equation and the initial condition.

Vesnalui [34]

Answer:

1) $y =4x^2 +7$

2) $y =7s^2 -3s^4 +181$

Step-by-step explanation:

Assuming that our function is $y = f(x)$ for the first case and $y=f(s)$ for the second case.

Part 1

We can rewrite the expression like this:

$\frac{dy}{dx} =8x$

And we can reorder the terms like this:

$dy = 8 x dx$

Now if we apply integral in both sides we got:

$\int dy = 8 \int x dx$

And after do the integrals we got:

$y = 4x^2 +c$

Now we can use the initial condition $y(0) =7$

$7 = 4(0)^2 +c, c=7$

And the final solution would be:

$y =4x^2 +7$

Part 2

We can rewrite the expression like this:

$\frac{dy}{ds} =14s -12s^3$

And we can reorder the terms like this:

$dy = 14s -12s^3 dx$

Now if we apply integral in both sides we got:

$\int dy = \int 14s -12s^3 ds$

And after do the integrals we got:

$y = 7s^2 -3s^4 +c$

Now we can use the initial condition $y(3) =1$

$1 = 7(3)^2 -3(3)^4 +c, c=1-63+243=181$

And the final solution would be:

$y =7s^2 -3s^4 +181$

7 0

4 years ago

10 points!! Will mark brainliest!!! Please help me I don’t understand this very well

Katen [24]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Linda is planning to build a rectangular deck that is 12 feet longer than it is wide. Find its width if its area is 589 square f

BaLLatris [955]

Let the width be x, then the length is x + 12.
Area = length x width = x(x + 12) = 589
$x^{2} +12x = 589$
Solving the quadratic equation, we have that
x = 19 feet
i.e. the width is 19 feet.

6 0

4 years ago