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Nitella [24]
3 years ago
7

HEEEEEEEEEEEEELP WILL GIVE TEN POINTS

Mathematics
2 answers:
padilas [110]3 years ago
8 0

The answer is 92. First substitute in 30 for c and multiply it by 2, and you get 60. Then, substitute in 8 for d and multiply it by 4 to get 32. Add 60 + 32 and it equals 92.

nikklg [1K]3 years ago
7 0

2c + 4d = 92

substitute the given values into the expression and evaluate

2c + 4d = (2 × 30) + (4 × 8) = 60 + 32 = 92


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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
Any awnsers will give brainless
DedPeter [7]

For the first, simply plug in the value of x given (x = 2) into the equation: \left\frac{3}{4}x^2 + 5\right.|_{x=2} = \frac{3}{4}\left ( 2^2 \right )+5 = 8.

So, 8 would be your answer.

For the second, the sum of x and 2 would be expressed as x + 2. Twice this sum would be written as 2(x+2). Finally, 8 less than twice that sum would be written as 2(x+2) - 8, which would be your expression.

For the last question, the coefficient refers to the number directly in front of the variable, x. So you need only to check what the x would simplify to in each equation and look for the expression where x has no coefficient (i.e., its coefficient is 1). For Hunter, the coefficient would be 15 (5 × 3x = 15x); for Michael, the coefficient would be 11 (6x + 5x = 11x); for Nate, the coefficient would be 1 (x = 1x); and for Spencer, the coefficient would be 2 (2x = 2x). Thus, Nate's expression has a coefficient of 1 when simplified.

3 0
2 years ago
What is the solution to this equation?<br> 3x- x+8+5x-2=10
VashaNatasha [74]
3x -x + 8 + 5x - 2 = 10
3x - x + 5x = 10 -8 +2
7x = 4
x = 7/4
5 0
3 years ago
HELP PLEASE!! EXTRA POINTS AND BRAINLIEST WILL BE GIVEN!!
mezya [45]

Answer:

0.02651

Step-by-step explanation:

P(all 5 are boys) =

\frac{7}{12}  \times  \frac{6}{11} \times  \frac{5}{10}   \times  \frac{4}{9}  \times  \frac{3}{8}

= 0.02651 ( wow low)

3 0
3 years ago
PLEASE HELP WILL MARK BRAINLYST IF CORRECT Explain how to use the orders of operation to simplify the following expression. [– 4
Gekata [30.6K]

First do the the parenthesis: (6-3) = 3

Now you have [-4 + 3 * 8] -10

Next do multiplication: 3 *8 = 24

Now you have [-4 + 24]-10

Now do what is in brackets: -4 + 24 = 20

Now you have 20-10

Subtract 20-10 = 10

4 0
2 years ago
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