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mestny [16]
3 years ago
9

Simplify 3 to the 2nd Power Multiplied by 3 to the 5th Power Multiplied by 3 to the Negative 3rd Power

Mathematics
1 answer:
sweet [91]3 years ago
6 0
The answer is 81.

Hope this helps.
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The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?
lawyer [7]

Answer:

  • C. 6

Step-by-step explanation:

<u>Given</u>

  • S = n² + n
  • S = 42, n = ?

<u>Substitute and solve for n:</u>

  • 42 = n² + n
  • n² + 2*1/2n + 1/4 = 42.25
  • (n + 0.5)² = 42.25
  • n + 0.5 = √42.25
  • n + 0.5 = 6.5
  • n = 6

Correct option is C

5 0
2 years ago
Read 2 more answers
Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? give an example
polet [3.4K]
Yes, we can obtain a diagonal matrix by multiplying two non diagonal matrix.

Consider the matrix multiplication below

\left[\begin{array}{cc}a&b\\c&d\end{array}\right]   \left[\begin{array}{cc}e&f\\g&h\end{array}\right] =  \left[\begin{array}{cc}a e+b g&a f+b h\\c e+d g&c f+d h\end{array}\right]

For the product to be a diagonal matrix,

a f + b h = 0 ⇒ a f = -b h
and c e + d g = 0 ⇒ c e = -d g

Consider the following sets of values

a=1, \ \ b=2, \ \ c=3, \ \ d = 4, \ \ e=\frac{1}{3}, \ \ f=-1, \ \ g=-\frac{1}{4}, \ \ h=\frac{1}{2}

The the matrix product becomes:

\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}\frac{1}{3}&-1\\-\frac{1}{4}&\frac{1}{2}\end{array}\right] = \left[\begin{array}{cc}\frac{1}{3}-\frac{1}{2}&-1+1\\1-1&-3+2\end{array}\right]= \left[\begin{array}{cc}-\frac{1}{6}&0\\0&-1\end{array}\right]

Thus, as can be seen we can obtain a diagonal matrix that is a product of non diagonal matrices.
8 0
3 years ago
Read 2 more answers
Help please asap i<br> show step by step !
pychu [463]

Answer:

a = 4\sqrt{3}

b= 4

Step-by-step explanation:

It's a 30-60-90 triangle based on the given picture. A right triangle too

Use sine, cosine, and tangent to solve for the side.

To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.

OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and x\sqrt{3} for long leg

So either way, b = 4

To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.

OR you can use the same rule, 30-60-90 triangle to save time

a will end up = 4\sqrt{3}

6 0
3 years ago
The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 ho
Triss [41]

Answer:

T4 = -2°F

Step-by-step explanation:

Given the following data;

Current temperature = 10°F

Constant, K = 3°F

Time, t = 4 hours

In four (4) hours, we have;

T = kt

Substituting into the equation, we have;

T = 3 * 4

T = 12°F

T4 = current temp - new temp

T4 = 10°F - 12°F

T4 = -2°F

Therefore, the temperature it will be in 4 hours is - 2°F.

6 0
2 years ago
If c=4 and the problem is c to the third power/2 what is the answer?
tiny-mole [99]

c=4\\\frac{c^3}{2}\\\frac{(4)^3}{2}\\\frac{64}{2}\\32

When c = 4 and it is applied to this equation, the answer is 32.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

6 0
3 years ago
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