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3 years ago

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

hours

minutes

seconds

How much distance did you cover during that time?

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Dots sells a total of 266 T-shirts ($2) and shorts ($4). In April, total sales were $672.

Anit [1.1K]

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2 years ago

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2 years ago

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 < 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.

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2 years ago