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Mrac [35]
3 years ago
15

What is the solution to the equation e^3x=12

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

e^3x=12

The natural log of 12 will be 3x. So...

ln(12)=3x

x=(ln(12))/3

x=0.83 approx.

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What is the solution to the compound inequality in interval notation?
ohaa [14]

The given compound inequality is

2(x+3)>6 \ or \ 2x+3\leq  -7

First we solve the first inequality,

2(x+3)>6
\\
x+3 >3
\\
x>0

Now we solve the second inequality

2x+3\leq -7
\\
2x \leq  -7-3
\\
2x\leq  -10
\\
x\leq  -5

So we have

x > 0 \ or  \ x\leq  -5

So the required solution is

( - \infty,-5] \ or \ (0, \infty)

Correct option is A .

4 0
3 years ago
What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
sammy [17]

Answer:

the height of the prism =3cm

Step-by-step explanation:

From the question :there is 30 square centimeters, we can deduce this is the area due to the unit

the volume is 90 cubic centimeters

Volume of prism = Area of base × height

We are to determine the height

90cm³ = 30cm² × height

divide both sides by 30cm²

height = 90cm³/30cm²

height = 3cm

Therefore the height of the prism is 3centimeters

8 0
3 years ago
What is decimals -4.8(5.3)
bearhunter [10]

Answer:

-25.44

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
F(x) = -3(x+4)(x-6) x intercepts
DiKsa [7]

Answer:

x = - 4, x = 6

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

- 3(x + 4)(x - 6) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 6 = 0 ⇒ x = 6

7 0
3 years ago
Find the<br>simple interest:<br>Princpd $6000<br>Interest Rate 5%<br>Time: 6 months<br>Start​
sattari [20]

Answer: The interest is: $150.00

The formula we'll use for this is the simple interest formula, or:

Where:

   P is the principal amount, $6000.00.

   r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

   t is the time involved, 6....month(s) time periods.

   Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

       Do this by dividing your time, 6- month(s), by 12, since there's 12 months in 1 year.

   So, t is 0.5....year time periods.

To find the simple interest, we multiply 6000 × 0.05 × 0.5 to get that:

The interest is: $150.00

8 0
3 years ago
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