2 years ago

What is the area of the shaded region in the figure?

Mathematics

1 answer:

inessss [21]2 years ago

3 0

Answer:

look at the picture i sent please

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The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min

Maslowich

Answer:

67.3°C

Step-by-step explanation:

A = 25, T(0) = 100, T(1) = 90, find T(4)

dT/dt = -k(T - A)

d(T - A)/dt = -k(T - A)

d(T - A)/(T - A) = -k dt

ln(T - A) = lnC - kt

$T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75$

$T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3$

4 0

2 years ago

Convert the equation to slope- intercept and standard form. y-4=5 + 1/2x

Vitek1552 [10]

Answer:

note :

The equation of a linear function in point-slope form is y – y1 = m(x – x1)

The point is A (x1 , y1)

Step-by-step explanation:

in this exercice : y - 4 = 5 +(1/2)x

y - 4 = 0.5 ( x - 5/0.5)

y - 4 = 0.5( x - 10).....

note : the standard forme is : y = ax +b

in this exercice : y = (1/2)x+9

4 0

2 years ago

Find the value of x for the given value of y: A: y=6x-4;y=20 B:y=x/2+3;y=1

Karo-lina-s [1.5K]

The answer is
A. x=4
B. x=-4

5 0

3 years ago

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Which graph represents the solution set of y = x2 − 4 and x + y + 2 = 0?

statuscvo [17]

Answer:

Graph of solutions of:

y = x^2 -4 (red)

x + y + 2 = 0 (purple)

Step-by-step explanation:

8 0

2 years ago

1. The United States has more than 250, 000 rivers. These rivers total about 3,500,000 miles. Express the total number of river

Dvinal [7]

If you convert 840,000 to scientific notation; you would take 840,000 and divide it by 10^5 (ten to the fifth power) which is 100,000 and that would leave you with 8.4 divided by 10^5. Remember scientific notation must be expressed as a number 1 through 9 but less than 10.

7 0

1 year ago