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hram777 [196]
3 years ago
5

5. 40 = -1/3(9x + 30)+ 2

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:

x = -16

Step-by-step explanation:

-1/3 * 9x = -3x

-1/3 * 30 = -10

-10 + 2 = -8

40 = -3x - 8

+8          +8

48 = -3x

---     ----

-3    -3

-16 = x

x = -16

~ Zoe

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Carlos has taken an initial dose of a prescription medication.
Marat540 [252]

Answer:

3.48 hours

Step-by-step explanation:

The equation is:

M(t)=20 e^{-0.86t}

Where

M(t) is the amount of medication remaining in mg

t is the time it takes, in hours

The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??

We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

M(t)=20e^{-0.86t}\\1=20e^{-0.86t}\\0.05=e^{-0.86t}\\Ln(0.05)=Ln(e^{-0.86t})\\Ln(0.05)=(-0.86t)Ln(e)\\t=\frac{Ln(0.05)}{-0.86}\\t=3.48

<u>Note: </u> Ln(e) = 1

This means, the amount of time it will take is about 3.48 hours

8 0
3 years ago
ILL GIVE BRAINLIEST PLEASE HELP ASAP PLS
postnew [5]

Answer:

5/12 of rain came, or 10 inches

Step-by-step explanation:

complete rain be 1

then, =1-(1/4+1/3)

=1-(3+4/12) take lcm

=1-7/12

=12-7/12 again lcm

= 5/12

or

1/4 of 24 inches means 1/4×24= 6 inches

1/3 of 24 inches, then 1/3×24= 8 inches

therefore, rest of the months get

= 24-(6+8)

=24-14

=10 inches

7 0
3 years ago
Right triangle abc has one leg of length 6 cm, one leg of length 8 cm and a right angle at
Sauron [17]
Answer:
side length of the square = 10 cm

Explanation:
The attached image shows a diagram representing the scenario described in the problem.
Taking a look at this diagram, we can note that the side length of the square is equal to the hypotenuse of the right-angled triangle
Therefore, we can get the side of the square by calculating the length of the hypotenuse using Pythagorean theorem as follows:
(hypotenuse)² = (length of first leg)² + (length of second leg)²
(hypotenuse)² = (8)² + (6)²
(hypotenuse)² = 64 + 36
(hypotenuse)² = 100
hypotenuse = √100
hypotenuse = 10 cm

This means that the length of the side of the square is also 10 cm

Hope this helps :)

6 0
3 years ago
70 points !!! So try
Kazeer [188]

Answer:

1/ 5²

Step-by-step explanation:

= 5³ × 1/5⁵

= 125 × 1/5⁵

= 125/3125

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3 0
3 years ago
Read 2 more answers
R + 4 &gt; 8; r =2 is a solution
tiny-mole [99]

Answer:r>4

Step-by-step explanation: You just subtract four from both sides

7 0
3 years ago
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