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3 years ago

6

Solve the equation: log3 ( x^9) =12

2 answers:

saul85 [17]3 years ago

4 0

I hope this helps....

melomori [17]3 years ago

4 0

X = 4.326748711
To solve this, raise 3 to the 12th power, and solve for x.
log3(x^9)=12
Take the number in front of the log, 3
Raise it to the number on the other side of the equation, 12
Set that equal to the expression in parentheses
So, we have 3^12=x^9
Solve it like a normal equation by simplifying
3^12= 531441, so
531441=x^9
to get x by itself, take the 9th root of both sides. If you're using a TI-84, you can do this by going to MATH>5 and then typing in the root
x = 4.326748711

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2 years ago

A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

5 0

2 years ago

A rectangular table is 22.5 inches wide and 31 inches long using the Pythagorean theorem what is the length of the diagonal of t

Stolb23 [73]

38
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4 0

3 years ago

I have no clue i came up with 0.6 but that's wrong according to them :[

NISA [10]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Plzzzzzzzzzzzzzz! A personal identification number (PIN) is a 4 digit code. A local bank only allows the numbers 1, 2, 3, 4, 5,

Marina86 [1]

Answer:

14/2187

Step-by-step explanation:

Let us first see how many possible outcomes there are. We can to that by multiplying 9^4. This gives us 6561.

Now, we can see what are the possible outcomes that meet the requirements. We can get this by multiplying 1 • 1 • 7 • 6, which is 42.

Our fraction is 42/6561, which is 14/2187.

Hope this helped!

8 0

3 years ago