What number is equivalent to the expanded form shown below?

Brian built a new rectangular flower bed in his front yard and he wants to cover the dirt around the flowers with mulch. The flo

alexgriva [62]

He will need 100 feet to cover all of it

5 0

3 years ago

► 00:00

Viefleur [7K]

Answer:

Proof

Step-by-step explanation:

PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason

due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.

Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic

7 0

3 years ago

Find all solutions to the following equation. If there are any extraneous solutions, identify them and explain why they are extr

vagabundo [1.1K]

Answer:

b = 3, which is an extraneous solution because if we replace b = 3 in the equation, we must be 5/0 and 30/0, and there is division by 0.

Step-by-step explanation:

$\frac{7}{b+3} + \frac{5}{b-3} = \frac{10b}{b^2-9}$

The minus common multiply must be (b-3)*(b+3) = b² - 9

$\frac{7*(b-3)}{b^2-9} + \frac{5*(b+3)}{b^2 -9} = \frac{10b}{b^2-9}$

7b - 21 + 5b + 15 = 10b

2b = 6

b = 3

Which is an extraneous solution because if we replace b = 3 in the equation, we must be 5/0 and 30/0, and there is division by 0. So this solution is invalid.

7 0

3 years ago

You are trying to cast four roles for a play. 12 actors try out, including sir Ian McKellen and Patrick Stewart. the director te

Komok [63]

Answer:

6,840 casts

Step-by-step explanation:

Assuming that every actor can play each of the 4 roles and that each role is different, the number of possible casts including at least one of sir Ian and Patrick is given by the total number of possible casts (permutation of 4 out of 12 actors), minus the number of casts without sir Ian and Patrick (permutation of 4 out of 10 actors):

$n=\frac{12!}{(12-4!)} -\frac{10!}{(10-4)!}\\n=(12*11*10*9)-(10*9*8*7)\\n=6,840\ casts$

There are 6,840 possible casts.

8 0

3 years ago

162 is what percent of 200?

Bond [772]

Answer:

81%

Step-by-step explanation:

divide 162 by 200

7 0

3 years ago