3 years ago

Which expressions are equivalent to 6 ^ 16? Check all that apply.

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

Answer:

the first one -4 and -4

Step-by-step explanation:

-4 times -4 is 16 because the negatives cancel out

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(2x - 4) – 2 = 1 - 2(x – 3)<br> I need help with this one may someone help me??

AnnyKZ [126]

Answer:

$\boxed {x = \frac{13}{4}}$

Step-by-step explanation:

Solve for the value of $x$ :

$(2x - 4) - 2 = 1 - 2(x - 3)$

-Subtract 2 from $4$ :

$(2x - 4) - 2 = 1 - 2(x - 3)$

$2x - 6 = 1 - 2(x - 3)$

-Use <u>Distributive Property</u>:

$2x - 6 = 1 - 2(x - 3)$

$2x - 6 = 1 - 2x - 6$

-Add $2x$ to both sides:

$2x - 6 + 2x = 1 - 2x + 2x - 6$

$4x - 6 = 7$

-Add both sides by $6$ :

$4x - 6 + 6 = 7 + 6$

$4x = 13$

-Divide both sides by $4$ :

$\frac{4x}{4} = \frac{13}{4}$

$\boxed {x = \frac{13}{4}}$

Therefore, the value of $x$ is $\frac{13}{4}$ .

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4 years ago

Newton’s Law of Cooling expresses the relationship between the temperature of a cooling object y and the time t elapsed since co

True [87]

Answer:

79 °F

Step-by-step explanation:

Newton’s Law of Cooling:

$y = ae^{-kt} + c$

Data

The initial temperature of a liquid is 160 °F

The temperature in the room (c) is 76 °F

Then a = 160 - 76 = 84 °F

k = 0.23

t = 15 minutes

Replacing into the equation:

$y = 84e^{-0.23 \times 15} + 76$

y = 79 °F

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