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IgorC [24]
2 years ago
15

Acar moves at a constant speed of 50 miles per hour. How long

Mathematics
1 answer:
tresset_1 [31]2 years ago
5 0

Answer:

4 hours · Speed = 50 mph · distance = time x speed · Time = 200 / 50 = 4 hours.

Step-by-step explanation:

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Write the differential equation model that fits the given description. (a) The rate of change of the volume of a snowball (due t
miskamm [114]

Answer:

a) he rate of change of the volume of a snowball (due to melting) is proportional to the square of the volume at time t. Initially, the snowball has a volume of 900 cm3

\frac{dV(t)}{dT} = A*V(t)^{2} \\ and V(0) = 900cm^{3}

where A is a real constant, it appears because it says that the change i volume (dV/dt) is "proportional" to V(t)^{2}. Furthermore, we should assume that A is a negative number, because the volume of the snowball will decrease as the time pasese by.

(b) For an insect moving along some path, the velocity at time t is proportional to the square root of its position.

\frac{dr(t)}{dt}  = B*\sqrt{r(t)}

Here again appears a constant B for the "proportional" part. And i wrote the velocity as \frac{dr(t)}{dt} "the rate of change of the position with respect to te time".

7 0
3 years ago
Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 1/4 of that height. Which of these statements
marta [7]
The wrong statement: The volume or the smaller cone cannot be determined because its height is unknown.

We already know that the larger cone has a height of 8 cm and that the smaller cone is just 1/4 of 8 cm.

8×1/4 = 2 cm.

You can still find its volume by using the formula 1/3πr^2.
8 0
3 years ago
Read 2 more answers
Eve plays basketball. She makes 4 free throws for every 3 free throws that she misses. If she missed 36 free throws at her last
zaharov [31]
The ratio of free throws to miss throws = 4/3

Miss throws = 36
So, free throws would be = 36 * 4/3 = 48

So, your final answer is 48

Hope this helps!
4 0
3 years ago
Rewrite x + 1 = 3 in terms of y if x = y^2 + 1.
ExtremeBDS [4]
ANSWER:
(y^2+1)+1=3

Hope it helps u! :)
3 0
3 years ago
An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed
masya89 [10]

Answer:

P(X\leq 1) = 0.331

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

P(X = x) = \frac{y^xe^{-y}}{x!}

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

P(X\leq 1) = P(X=0) + P(X =1)

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}

P(X = 0) = \frac{1 * e^{-2.3}}{1}

P(X = 0) = e^{-2.3}

P(X = 0) = 0.10025884372

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}

P(X = 1) = \frac{2.3 * e^{-2.3}}{1}

P(X = 1) =2.3 * e^{-2.3}

P(X = 1) = 2.3 * 0.10025884372

P(X = 1) = 0.23059534055

P(X\leq 1) = P(X=0) + P(X =1)

P(X\leq 1) = 0.10025884372 + 0.23059534055

P(X\leq 1) = 0.33085418427

P(X\leq 1) = 0.331

Hence, the required probability is 0.331

6 0
3 years ago
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