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Travka [436]
3 years ago
14

he differential equation below models the temperature of a 95°C cup of coffee in a 23°C room, where it is known that the coffee

cools at a rate of 1°C per minute when its temperature is 70°C. Solve the differential equation to find an expression for the temperature of the coffee at time t. dy dt = − 1 47 (y − 23)

Mathematics
1 answer:
mel-nik [20]3 years ago
7 0

Answer:

Ln( y - 23) + 147t = C

where C is a constant of integration

Step-by-step explanation:

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Which algebraic expression is a trinomial?
tangare [24]

Answer:

D. x^6 - x + √6

Step-by-step explanation:

Last option:

⇒  x^6 - x + √6

Cannot be simplified further and has three terms.

Therefore is a trinomial.

7 0
2 years ago
Is the centre of a circle always equal distance from all points on the circumference? and why
AleksandrR [38]

Answer:

Yes, the center of a circle is always and always equidistant from all the points on circumference because that is because what a circle is called. The distance from the center of the circle to the circumference is called the radius and it is constant for any particular circle.

7 0
3 years ago
A rectangle shop in the mall has a perimeter of 36 meters. Its area is 80 square meters. What are the dimensions of the shop?
torisob [31]

Answer:

Length, l = 10 m, breadth = 8 m

Step-by-step explanation:

Let l be the length and b be the width of the rectangle.

The area of a rectangle is given by :

A = lb

80 = lb ...(1)

The perimeter of a rectangle is given by :

P = 2(l+b)

36 = 2(l+b)

18 = (l+b) ....(2)

We need to solve equation (1) and (2). On solving we get :

l = 10, b = 8

So, the dimensions of the shop is 10 m and 8 m.

4 0
3 years ago
Find the length of each bolded arc. Round to the nearest hundredth.
Nezavi [6.7K]

Answer:

Length of the bold arc = 72.63 ft

Step-by-step explanation:

Length of the arc = \frac{\theta}{360}(2\pi r)

Here, θ = angle subtended by the arc at the center

r = Radius of the circle

Since, angle subtended by the bold arc at the center = 360 - 73

                                                                                         = 287°

And radius of the circle 'r' = 14.5 ft

By substituting these values in the formula,

Length of the bold arc = \frac{287}{360}\times (2\pi)(14.5)

                                     = 72.632

                                     ≈ 72.63 ft

Therefore, length of the bold arc = 72.63 ft

8 0
3 years ago
Solve for x ... please help me
gogolik [260]

Answer:

It is letter A

5 0
3 years ago
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