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Kobotan [32]
2 years ago
9

5/6 x 8 simplified ‼️‍♀️

Mathematics
2 answers:
Crank2 years ago
6 0

Answer:

20/3

Step-by-step explanation:

Burka [1]2 years ago
5 0

Answer:

6  \frac{2}{3}

Step-by-step explanation:

·\frac{5}{6} · 8 = \frac{20}{3} = 6  \frac{2}{3}

Hope that helps!

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If y=e5t is a solution to the differential equation
a_sh-v [17]

Answer:

k = 30, y(t) = C_1e^{5t}+C_2e^{6t}

Step-by-step explanation:

Since y=e^{5t} is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}

Then, replacing the derivatives in the equation we have:

25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0

Since e^{5t} is a positive function, we have that

25-55+k = 0 \rightarrow k = 30.

Now, consider a general solution y(t) = Ae^{rt}, A \in \mathbb{R}, then, by calculating the derivatives and replacing them in the equation, we get

Ae^{rt}(r^2-11r+30)=0

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

y(t) = C_1e^{5t}+C_2e^{6t}

8 0
3 years ago
David has been driving for 4 hours at 62.8 km/hr. How many kilometers did he travel in that time?
Murrr4er [49]
I would say 234.221 hshevvwosfueoe
7 0
3 years ago
Read 2 more answers
The measure of an angle is 32.9°. What is the measure of its complementary angle?
zubka84 [21]

Answer: 57.1

Step-by-step explanation: To be complementary the angles have to add up to make a sum of 90.

90 - 32.9 = 57.1

The angles are 32.9 and 57.1.

8 0
2 years ago
The length of a rectangle is 12 units longer than the width. The perimeter is 7 times the width. Find the length and the width o
katen-ka-za [31]

Log explanation below; answer is at bottom.

If the length, l, is 12 units longer than the width, w, then w = l - 12. If the perimeter, p,

p = 2l +2w,

is 7 x w, then

w = p/7

When two things are set equal to the same variable, they are equal to each other, so,

l - 12 = p/7

Now you need to get rid of the p so you are only working with one variable. To do this you plug in whatever p is equal to for p, so,

l - 12 = (2l + 2w)/7 now to get rid of the w do the same thing we did with p just for w. So,

l - 12 = (2l + 2(l - 12))/7

To solve this you want to multiply both sides by 7 first to get rid of the fraction.

7l - 84 = 2l + 2(l - 12)

Next you want to distribute the 2 over the l and the 12.

7l - 84 = 2l + 2l - 24

Next you want to combine like terms on each side.

7l - 84 = 4l - 24

Next add 84 and subtract 4l from sides to isolate the variable.

3l = 60

Now divide each side by 11 to get your answer.

l = 20.

To find the width,

w = l - 12  

Just plug in and solve.

w = 20 - 12

w = 8

So your length and width are 20 and 8.

l = 20

w = 8

7 0
3 years ago
Which graph represents the linear equation y = 1?
hichkok12 [17]

Answer:

but there's no choices

3 0
3 years ago
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