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gulaghasi [49]
3 years ago
12

What is the solution of the equation 9^2x=6? Round your answer to the nearest ten-thousandth.

Mathematics
1 answer:
sammy [17]3 years ago
4 0

Answer:

0.4077

Step-by-step explanation:

It's important to use parenthesis to avoid confusion.

9^(2x) = 6

Use exponent properties:

(9^2)^x = 6

81^x = 6

Take log of both sides

ln(81^x) = ln(6)

Use log properties:

x ln(81) = ln(6)

Solve for x:

x = ln(6) / ln(81)

x ≈ 0.4077

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The Cooper family is driving 236.5 miles to visit their relatives. In the first three hours, they drive 69.4 miles in the first
Softa [21]

Answer:

29.7

Step-by-step explanation:

The remaining distance is the total distance less the distance driven so far:

... 236.5 -69.4 -67.9 -69.5 = 29.7

5 0
3 years ago
Can you work out G and H for me please. preferably telling me how you did it aswell
Veronika [31]
Abd is a right angled triangle so by pythagoras we know
{g}^{2}  =  {11}^{2}  +  {13}^{2}  \\  {g}^{2}  = 290 \\ g =  \sqrt{290}  \: or \: g = 17.03cm
and to calculate h we need to use the sine rule
\frac{h}{ \sin(22) }  =  \frac{g}{ \sin(32) }  \\  \frac{h}{ \sin(22) }  =  \frac{17.03}{ \sin(32) }  \\ h =  \frac{17.03}{ \sin(32) } \times  \sin(22)   \\ h = 12.04cm
i hope this helps
8 0
3 years ago
What is 832.248 rounded to the nearest tenth? A. 830 B. 832.2 C. 832.25 D. 832.3
OleMash [197]
Hi there.

To start, we have to understand where the ten the place is.

Hint: it's 1 place behind the decimal point.

Now we need to know what numbers behind the tenths place make it round up or down.

If the number behind it is 4 or under, round down.

5 & up, round up.

In this case, 830.248 has 2 numbers behind the decimal, so we have to round those THEN the 2 in the tenths place.

830.25 to 830.3

Your answer is D. 830.3

I know this was lengthy, sorry. Just wanted to explain :p
4 0
3 years ago
3. Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side len
stepladder [879]

Answer:

false

Step-by-step explanation:

these measure do not form a right triangle

5 0
2 years ago
The slope and y intercept
Fudgin [204]

Answer:

the y intercept is 5 because the line passes through 5 on the y axis. Now to find the slope, pick two points where the line hits directly on the corner of the grid squares. pIck 2 of those and count the squares up till you are lined up with your other point then count over and get another number. Put the number going up over the number going down like x/y and you'll have your answer. ( simplify it if you can.(-2,3) and (0,5) are a good place to start. The answer should be 2/3. Hope this helped and God bless!

5 0
3 years ago
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