3 years ago

1. Justin divided 403 by a number and got a quotient of 26 with a remainder of 13. What was the

Mathematics

2 answers:

eimsori [14]3 years ago

8 0

kow [346]3 years ago

5 0

Answer:

Step-by-step explanation:

First subtract the remainder from 403 to get 390. then divide 390 by 26 to get 15.

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Question 3 Unsaved

bazaltina [42]

Answer:

Step-by-step explanation:

DE given is

y''+8y'+15y=0, y(0)=0, y'(0)=1

Take Laplace on the DE

We get

$s^2 Y(s) -sY(0) -y'(0)+8(sY(s)-y(0))+15Y(s) =0\\s^2 Y(s) -s(0) -1+8(sY(s)-0)+15Y(s) =0\\Y(s)(s^2+8s+15)-1=0\\Y(s) = \frac{1}{s^2+8s+15}$

Simplify to get

Y(s) = $\frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]$

Take inverse

$y(t) = \frac{e^{-3t} -e^{-5t}}{2}$

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3 years ago

Round the decimal equivalent of 856 1/6 to the nearest hundredth. What number is in the hundredth place PLEASE HELP

Vika [28.1K]

Answer:

The answer is 856.17.

Step-by-step explanation:

If you made the fraction into a decimal, you would get 856.166666666. If you round it to the nearest hundredth, you would get 856.17.

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3 years ago

How long does it take a car to travel 200 mi at a constant speed of 25 mi/h?

beks73 [17]

First you have to do $200/25=8$ .
Since the car is moving at a constant rate, the answer would be 8h.

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3 years ago

Read 2 more answers

Find the vertex of the function h(x) = x2 – 4x – 21

lakkis [162]

Answer: (2, -25)

Step-by-step explanation:

The x coordinate of the vertex is $x=-\frac{-4}{2(1)}=2$ .

When x=2, $h(2)=2^2 - 4(2)-21=-25$ .

So, the vertex is (2, -25).

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2 years ago

I need help i dont get this

JulijaS [17]

I don’t see any photos

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3 years ago