Answer:
9
Step-by-step explanation:
Assuming x is the multiplication symbol, you would multiply 3 and the other 3 together. This leaves you with 9+7-7. Since 7-7=0 you can just get rid of both sevens completely. Now you are only left with 9.
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
Based on the multiplication property of equality, the statement that completes the proof is: C. CD = b(sin A) and CD = a(sin B).
<h3>What is the Multiplication Property of Equality?</h3>
The multiplication property of equality is given as, if a/b = y, then a = yb. Both sides of the equation is multiplied by the same value.
In step 5 where the multiplication property of equality is applied, we would have:
sin(A) = CD/b
Multiply both sides by b
sin(A) × b = CD/b × b
b(sin A) = CD
CD = b(sin A)
This same property is applied to sin B = CD/a to get CD = a(sin B).
Therefore, the missing statement is: C. CD = b(sin A) and CD = a(sin B).
Learn more about the multiplication property of equality on:
brainly.com/question/1978763
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Answer:
The correct option is 4.
Step-by-step explanation:
Given information:
Bring lunch : 46 males, 254 females
Buy lunch : 176 males, 264 females
Total number of peoples is

Total number of males is

The probability of male is

Since probability of males is 0.3, therefore options A and C are incorrect.
Total number of persons who buys lunch is

The probability of persons who buys lunch is

We need to find the probability of P(male | buys lunch).
According to the conditional probability, we get

P(male | buys lunch)
P(male | buys lunch)
P(male | buys lunch)
Therefore the correct option is 4.
Answer:
The answer in this proble is 269