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3 years ago

1. Find the VALUE of 7x + 3y, when x = 12 and y = -6.

Mathematics

2 answers:

denis23 [38]3 years ago

8 0

Answer:

1.7(12) + 3(-6) = 84 - 18 = 66

slavikrds [6]3 years ago

3 0

Answer:
1. 66
2. 3.87 x 10^-5
3. 81.67
4. 7y - 19

Explanation:

7(12) + 3(-6)
= 84 - 18
= 66

2. 0.0000387 = 3.87 x 10^-5

3.
Area = 3.14 x (5.1)^2
= 81.67cm^2

4.
6(2y - 3) - 5(y + 1)
= 12y - 18 - 5y - 1
= 7y - 19

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3 years ago

After heating up in a teapot, a cup of hot water is poured at a temperature of 204°F.

laila [671]

Answer:

Question 1: 0.081 min⁻¹

Question 2: 168ºF

Explanation:

The missing equation is:

$T=T_a+(T_0-T_a)e^{-kt}$

You are given:

Ta = the temperature surrounding the object = 73ºF
T₀ = the initial temperature of the object = 204ºF
t = 2.5 min
T after 2.5 min = 180ºF

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Substitute the data into the equation and solve for k:

$180\º=73\º+(204\º-73\º)e^{-k\cdot 2.5min}\\ \\ 107\º=131\ºe^{-k\cdot 2.5min}\\\\-k\cdot 2.5min=\ln (107/131)\\\\k=0.081min^{-1}$

Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Subsititute into the formula and compute:

$T=73\ºF+(204\ºF-73\ºF)e^{-0.081min^{-1}\times 4min}\\ \\ T=73\ºF+(131\ºF)(0.72325024)\\\\T=168\ºF$

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4 years ago

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Answer:

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Step-by-step explanation:

It really is simple translation because this is written in y=mx+b, where b is the given y-intercept. From there, just subtract what is needed to go down or add what is need to go up.

y=-2/9 x – 7 – 2

.:y=-2/9 x – 9

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3 years ago