Start by dividing both sides by 2 to get
. Doing the math on the right, keeping in mind that logs have an unwritten base of 10, gives us
. Rewriting this in exponential form is
. That means that x = 8. Not negative, only positive.
Answer:
146.41
Step-by-step explanation:
third order determinant = determinant of 3×3 matrix A
given ∣A∣=11
det (cofactor matrix of A) =set (transpare of cofactor amtrix of A) (transpare does not change the det)
=det(adjacent of A)
{det (cofactor matrix of A)} ^2 = {det (adjacent of A)}
^2
(Using for an n×n det (cofactor matrix of A)=det (A)^n−1
)
we get
det (cofactor matrix of A)^2 = {det(A) ^3−1
}^2
=(11)^2×2 = 11^4
=146.41
Answer:
0
Step-by-step explanation:
Answer:
The amount invested at 10% rate is $ 2200
Step-by-step explanation:
Given as :
The total amount earn by student = $6500
The total interest received at the end of year = $607
Let the amount invested at 10% rate = $x
So, The amount invested at 9% rate = ($6500 - $x)
Let the time for which money invested = 1 year
<u>Now from Simple Interest method :</u>
SI = 
Or, SI_1 + SI_2 = 
+ 
Or, SI_1 + SI_2 = 
Or, $607 × 100 = 10x + (6500-x) × 9
Or, $60700 = 10x- 9x + 58500
Or, $60700 - $58500 = x
Or , 2200 = x
∴ x = 2200
So, The amount invested at 10% rate = $x = $ 2200
Hence The amount invested at 10% rate is $ 2200 Answer
Based on the data recorded by Isabella, it can be concluded the cube is rather fair.
<h3>How many times did Isabella get each number?</h3>
Based on the data, here are the results:
- Getting a 1: 6 times
- Getting a 2: 5 times
- Getting a 3: 7 times
- Getting a 4: 5 times
- Getting a 5: 6 times
- Getting a 6: 7 times
This implies, in total Isabella got the same number between five and seven times. For example, the number 2 was obtained 5 times, but the number 3 was obtained 7 times.
<h3>What can be concluded based on the results?</h3>
Even though Isabella did not get the same number of times each number, the dice is rather fair because by rolling the dice thirty six times you will obtain the same number at least five times.
Moreover, there is not a big difference in the number of times you obtain each number.
Learn more about dice in: brainly.com/question/23637540
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