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3 years ago

Hi I need help can you please answer this what is 0.5x12h

Mathematics

1 answer:

Alexeev081 [22]3 years ago

7 0

Answer:6h

Step-by-step explanation:0.5*12h= 6

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Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10

ruslelena [56]

<span>$24 or D, Hope this helps :D</span>

6 0

3 years ago

Read 2 more answers

Determine whether the equation is exact. If it is, then solve it. e Superscript t Baseline (7 y minus 3 t )dt plus (2 plus 7 e

umka21 [38]

Answer:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

Step-by-step explanation:

You have the following differential equation:

$e^t(7y-3t)dt+(2+7e^t)dy=0$

This equation can be written as:

$Mdt+Ndy=0$

where

$M=e^t(7y-3t)\\\\N=(2+7e^t)$

If the differential equation is exact, it is necessary the following:

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial t}$

Then, you evaluate the partial derivatives:

$\frac{\partial M}{\partial y}=\frac{\partial}{\partial t}e^t(7y-3t)\\\\\frac{\partial M}{\partial t}=7e^t\\\\\frac{\partial N}{\partial t}=\frac{\partial}{\partial t}(2+7e^t)\\\\\frac{\partial N}{\partial t}=7e^t\\\\\frac{\partial M}{\partial t} = \frac{\partial N}{\partial t}$

The partial derivatives are equal, then, the differential equation is exact.

In order to obtain the solution of the equation you first integrate M or N:

$F(t,y)=\int N \partial y = (2 +7e^t)y+g(t)$ (1)

Next, you derive the last equation respect to t:

$\frac{\partial F(t,y)}{\partial t}=7ye^t+g'(t)$

however, the last derivative must be equal to M. From there you can calculate g(t):

$\frac{\partial F(t,y)}{\partial t}=M=(7y-3t)e^t=7ye^t+g'(t)\\\\g'(t)=-3te^t\\\\g(t)=-3\int te^tdt=-3[te^t-\int e^tdt]=-3[te^t-e^t]$

Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

where C is the constant of integration

8 0

4 years ago

2 nonoverlapping acute angles that share a ray form an obtuse angle. If one of the acute angles has a measure of 50 degrees what

Ne4ueva [31]

It would be 50 an acute angle is always under 50 atleast

4 0

3 years ago

Evaluate. 5 5/8 plus 1 7/8

Alika [10]

Answer:

should be 7 and 4, 8ths

Step-by-step explanation:

......

4 0

3 years ago

Ab" that goes through points (0,9)<br> Write an exponential function in the form y<br> and (5,2187)

klasskru [66]

9514 1404 393

Answer:

y = 9(3^x)

Step-by-step explanation:

We assume you want a function in the form ...

y = a(b^x)

that passes through points (0, 9) and (5, 2187).

Filling in the given point values, we have ...

9 = a(b^0) = a

2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'

Dividing the second equation by 9 and taking the 5th root, we find b.

(2187/9) = b^5

243^(1/5) = b = 3

The exponential function is ...

y = 9(3^x)

4 0

3 years ago