Answer:
19 days
Step-by-step explanation:
Given
--- initial
-- rate
Required
Days when the fish gets to 30
The function is exponential and as such it follows;
Where x represents the number of days and y the number of fishes
Because the fishes decreases;
So, we have:
Express as decimal
In
So, we have:
Divide both sides by 150
Take log of both sides
Apply law of logarithm
Make x the subject
<em>Hence, it takes approximately 19 days</em>
You need to use a ratio of height (H) to shadow length (L) to solve the first problem. It's basically a use of similar triangles, with two perpendicular sides, and with the shadow making the same angle with the vertical.
6 ft = 72 ins, so that rH/L = 72/16 = 9/2 for the player.
So the bleachers are 9/2 x 6 ft = 27 ft.
For the second problem, 9 ft = 108 in, so that the ratio of the actual linear dimensions to the plan's linear dimensions are 9ft/(1/2in) = 2 x 108 = 216.
So the stage will have dimensions 216 times larger than 1.75" by 3".
That would be 31ft 6ins x 54ft.
Live long and prosper.
The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it.
Given to us
A + [11 17 -8 13] = [0 0 0 0]
<h3>What is the value of matrix A?</h3>
We know that the given matrix will give values as zero if the same matrix is been deducted from it, therefore,
A + [11 17 -8 13] = [0 0 0 0]
A = [0 0 0 0] - [11 17 -8 13]
A = [-11 -17 +8 -13]
Thus, the matrix is equal to [-11 -17 +8 -13].
<h3>why this matrix equation has no solution?</h3>
The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it, therefore, [11 17 -8 13] is been added to it.
Thus, the sum of the two matrices has no solution.
Learn more about Matrices:
brainly.com/question/11367104
3M^2 + 11MN + 6N^2 = 3M^2 + 2MN + 9MN + 6N^2
= M(3M + 2N) + 3N(3M + 2N) = (3M + 2N)(M + 3N)
Answer: 3M^2 + 11MN + 6N^2 = (3M + 2N)(M + 3N)
