(i need help with these 2 questions )

Mathematics

1 answer:

Usimov [2.4K]2 years ago

4 0

Answer:

question one answer ===30

question two ===the number 49836 is divisible by 2,3,6

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What is the image of (0, -8) after a reflection over the line y = -x? Submit Answer

zheka24 [161]

Answer:

(-8,0)

Step-by-step explanation:

4 0

2 years ago

A glazier is setting supports in parallel segments to prevent glass breakage during storms. What are the values of x and y? Just

lara [203]

Answer:

m∠y=50°

m∠x=50°

Step-by-step explanation:

we know that

The angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal

m∠y=50° -----> by corresponding angles

and

The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. When the lines are parallel, the alternate interior angles are equal.

m∠x=m∠y -----> by alternate interior angles

m∠x=50°

therefore

m∠y=50°

m∠x=50°

5 0

3 years ago

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and t

WINSTONCH [101]

Answer:

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.

How long will it take for this population to grow to a hundred rodents? To a thousand rodents?

Step-by-step explanation:

Use the initial condition when dp/dt = 1, p = 10 to get k;

$\frac{dp}{dt} =kp^2\\\\1=k(10)^2\\\\k=\frac{1}{100}$

Seperate the differential equation and solve for the constant C.

$\frac{dp}{p^2}=kdt\\\\-\frac{1}{p}=kt+C\\\\\frac{1}{p}=-kt+C\\\\p=-\frac{1}{kt+C} \\\\2=-\frac{1}{0+C}\\\\-\frac{1}{2}=C\\\\p(t)=-\frac{1}{\frac{t}{100}-\frac{1}{2} }\\\\p(t)=-\frac{1}{\frac{2t-100}{200} }\\\\-\frac{200}{2t-100}$