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Iteru [2.4K]
2 years ago
15

Need help with geometry!!!!!!! hurryyyy!!

Mathematics
1 answer:
MakcuM [25]2 years ago
6 0

Answer:

#8 - substitution property of equality

hop this helps! <3

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If the acceleration of an object is given by dv/dt = −2v, Find the position function s(t) if v(0) = 7 and s(0) = 0.
kirill [66]

Answer:

Step-by-step explanation:

Given that acceleration of an object is

\frac{dv}{dt} =-2v\\\frac{dv}{v} =-2dt\\ln v = -2t+C\\

is the solution to the differential equation

Since v(0) =7

we get ln 7 = C

Hence lnv = -2t+ln 7\\v=7e^{-2t}

since velocity is rate of change of distance s we have

v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[

substitute t=0 and s=0

C=7/2

So solution for distance is

s(t) =\frac{-7}{2} (e^{-2t}-1)

4 0
3 years ago
Ella and jade both ran a marathone ella finished 4 hours 6 mins and 13 seconds jade finished in 4 hours and 3 mins and 18 second
spin [16.1K]

Answer:

Jade is faster than Ella by 2 minutes and 55 seconds.

Step-by-step explanation:

We are told that Ella and Jade both ran a marathon. Ella finished marathon in 4 hours 6 mins and 13 seconds. Jade finished marathon in 4 hours and 3 mins and 18 seconds.

We can write 4 hour 6 minutes 13 seconds as 4 hour 5 minutes 73 seconds. 1 minute has been borrowed to the seconds side, and seconds become 13+60 = 73 seconds.

We can see that Ella took more time than Jade. Let us find how much more time Ella took than Jade by subtracting time taken by Jade from time taken by Ella.  

4\text{ hr }5\text{ min }73\text{ sec }-4\text{ hr }3\text{ min }18{ sec }= 2\text{ min }55\text{ sec }  

We can see that Jade took 2 minute and 55 seconds less than Ella , therefore, Jade was faster than Ella by 2 minutes 55 seconds.

4 0
3 years ago
George wants to purchase a gift for his father for Father’s Day that cost 67.25 if he has already saved 7/8 of the amount how mu
Arlecino [84]

Answer:

$58.84375, rounded ≈ $58.84

Step-by-step explanation:

You can do 67.25 x 7/8 (use a calc if you are lazy) = 58.84375

I'm guessing you don't need to round so I'm going to add both real and rounded answers

3 0
2 years ago
Use inverse operations to solve each equation. Explain each step and identify the property used to reach each step.
maks197457 [2]
Hello,


The inverse operation's are easy.

is would be h/3-8=19


Hope this helps
5 0
3 years ago
Read 2 more answers
Help help help help math
lidiya [134]

Answer:

Step-by-step explanation:

2x+y

=2(2)+1

=4+1

=5

3 0
2 years ago
Read 2 more answers
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