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Sunny_sXe [5.5K]
3 years ago
13

A cyclist travels 3 miles in 15 minutes. what is her average speed in mph

Mathematics
2 answers:
murzikaleks [220]3 years ago
7 0

Answer:

12 mph

Step-by-step explanation:

If she travels 3 miles in 15 minutes she travels 3 * 4 = 12 miles in one hour so the answer is 12 mph.

jeka943 years ago
5 0

Answer:

Your average speed was 12.0 Miles per hour (mph)

Step-by-step explanation:

Time spent

0

hours

15

minutes

0

seconds

How much distance did you cover during that time?

3

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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
Solve: x + 1 &lt; 5<br>Me confused and need help ​
natita [175]

Answer: x < 4

Step-by-step explanation: You are trying to isolate the variable, x, so you have to subtract 1 on both sides of the inequality. Then, you are left with x < 4.

4 0
3 years ago
Each alice is 1/10 of an orange if he brings 12 whole oranges how many sloces are there ?
aev [14]

Answer:

there are 120 slices of orange.

Step-by-step explanation:

The reason for this is because if theres 10 slices per orange, and there is 12 oranges, you multiply 10x12 and you get 120 slices.

3 0
2 years ago
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