Answer:
h = 3
Step-by-step explanation:
-8 + 3h = 1
Add 8 to both sides.
3h = 1 + 8
Add 1 and 8 to get 9.
3h = 9
Divide both sides by 3.
h = 
Divide 9 by 3 to get 3.
h = 3
Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4
<h3>What is an Algebraic Equation?</h3>
An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.
Algebraic expression for Mat A is: 4x + 3
Algebraic expression for Mat B is: 2x + 11
We would have the following algebraic equation:
4x + 3 = 2x = 11
Solve for the value of x
4x - 2x = 11 - 3
2x = 8
x = 8/2
x = 4
Learn more about algebraic equations on:
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Answer:
5^(14)
Step-by-step explanation:
5^3 x 5^11
We know that a^b * a^c = a^(b+c)
5^3 x 5^11 = 5^(3+11) = 5^(14)
Answer:
The height of the prism is 
Step-by-step explanation:
we know that
The volume of the rectangular prism is equal to

In this problem we have



substitute in the formula and solve for H

![H=5,376/[(14)(16)]](https://tex.z-dn.net/?f=H%3D5%2C376%2F%5B%2814%29%2816%29%5D)

Answer:
There is a 2/3 probability that the other side is also black.
Step-by-step explanation:
Here let B1: Event of picking a card that has a black side
B2: Event of picking a card that has BOTH black side.
Now, by the CONDITIONAL PROBABILITY:

Now, as EXACTLY ONE CARD has both sides BLACK in three cards.
⇒ P (B1 ∩ B2) = 1 /3
Also, Out if total 6 sides of cards, 3 are BLACK from one side.
⇒ P (B1 ) = 3 /6 = 1/2
Putting these values in the formula, we get:

⇒ P (B2 / B1) = 2/3
Hence, there is a 2/3 probability that the other side is also black.