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3 years ago

Please help me answer this

Mathematics

1 answer:

ss7ja [257]3 years ago

4 0

There are 300 mins in 5 hrs. 300 x 8.6 calories per minute = 2580 calories total

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Find all values of m so that the function y = xm is a solution of the given differential equation. (Enter your answers as a comm

blagie [28]

Answer:

m = 6,9

Step-by-step explanation:

We are given that $y = x^m$ is a solution to given differential equation.

$x^2y'' - 14xy' + 54y = 0$

First we 3evaluate the value of:

$y'' = m(m-1)x^{(m-2)}$

$y' = mx^{(m-1)}$

Putting these value in the above differential equation, we get,

$x^2m(m-1)x^{(m-2)} + 14xmx^{(m-1)} + 54x^m = 0$

$x^m[m(m-1) -14m + 54] = 0$

$x^m(m^2 - 15m + 54) = 0$

$(m^2 - 15m + 54) = 0$

$(m-9)(m-6) = 0$

$m = 9,6$

Thus, for m = 9,6 , the function $y = x^m$ is a solution of given differential equation.

8 0

3 years ago

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)). (1 point)

pantera1 [17]

Hello,

f(x)=x+8
g(x)=x²-6x-7
f(g(x))=f(x²-6x-7)=x²-6x-7+8=x²-6x+1

f(g(2))=2²-6*2+1=4-12+1=-8+1=-7

Answer A

4 0

3 years ago

Gavin is starting a running plan to train for a race. In the first week of his running plan, Gavin will run 5 miles. The plan ca

iren2701 [21]

<h2>Answer:</h2><h2>Gavin would be expected to run during 36.5 miles during his 11th week of the training plan</h2>

Step-by-step explanation:

In the first week of his running plan,the number of miles covered = 5 miles

Weekly mileage will increase by 3.5 miles every week.

At the end of second week, the number of miles covered = 5 + 3.5 = 8.5

At the end of third week, the number of miles covered = 8.5 + 3.5 = 12

The series is 5, 8.5, 12, ...

Consider this as an AP, where a = 5, d = 3.5

By formula,

$a_{n} = a + (n-1)d$

Substituting the values in the above equation, we get

$a_{11} = 5 + (10-1) 3.5$

= 5 +(9)3.5

= 5 + 31.5

=36.5 miles.

Gavin would be expected to run during 36.5 miles during his 11th week of the training plan

7 0

3 years ago

I need to find the slope like asap help thanks

7nadin3 [17]

Answer:

Step-by-step explanation:

Using a slope triange we can see that the rise is 1 and the run is 1 and 1/1=1

8 0

3 years ago

The volume of a cylinder is 441pi cubic centimeters and it’s radius is 7 centimeters. What is the height of the cylinder ?

Marat540 [252]

Answer:

$\large\boxed{H=9\ cm}$

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have

$V=441\pi\ cm^3,\ r=7\ cm$

Substitute:

$\pi(7^2)(H)=441\pi\qquad\text{divide both sides by}\ \pi\\\\49H=441\qquad\text{divide both sides by 49}\\\\H=9\ cm$ [/tex]

8 0

3 years ago

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