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3 years ago

Tyler tried to solve an equation step by step.

Mathematics

1 answer:

Rama09 [41]3 years ago

6 0

Answer:

the brackets signify to multiply both the numbers

3×3=9 not 3z

hope this helps you

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Which expression can be used to change 75 kilometers per hour to meters per minute?

atroni [7]

$1h=60min\\1km=1000m\\\\\\75\ km/h=75\cdot\frac{1000}{60}\ m/min=1250\ m/min$

4 0

3 years ago

1. What is the slope intercept form for -3, and (4,2) SIMPLIFIED??

Ostrovityanka [42]

Answer:

Step-by-step explanation:

1. y - 2 = -3(x - 4)

y - 2 = -3x + 12

y = -3x + 14

2. y - 6 = -1/2(x + 5)

y - 6 = -1/2x - 5/2

y - 12/2= -1/2x - 5/2

y = -1/2x + 7/2

4 0

3 years ago

Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =

irga5000 [103]

Answer: The required solution is $y=50e^{0.1386t}.$

Step-by-step explanation:

We are given to solve the following differential equation :

$\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

$\dfrac{dy}{y}=kdt.$

Integrating both sides, we get

$\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]$

Also, the conditions are

$y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50$

and

$y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.$

Thus, the required solution is $y=50e^{0.1386t}.$

8 0

3 years ago

Read 2 more answers

The value of x =<br> 60°<br> 5<br> x<br> 30°

nikklg [1K]

Answer:

Step-by-step explanation:

with reference angle 30°

perpendicular (p) = 5

hypotenuse (h) = x

Now

sin 30° = p / h

1 / 2 = 5 / x

x = 10

Hope it will help :)

6 0

3 years ago

Is 8.15 a natural number whole number integer rational irrational or real number ?

nalin [4]

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

3 0

3 years ago

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