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Elanso [62]
2 years ago
15

Write an algebraic expression to represent the area of the shaded region: ​

Mathematics
1 answer:
tatiyna2 years ago
7 0

Answer:

4y^{2}+3y

Step-by-step explanation:

First you need to distribute the values.  

(4y+3)(2y) Using the "Rainbow Method" to multiply the polynomials  

You Should get  

8y^{2}+6y  

Since this is the area of the rectangle and we need to find the area of the shaded region you need to dived 8y^{2}+6y in half because the shaded region is half of the rectangle.  

8y^{2}+6y/2  

Doing this you will get  

4y^{2}+3y

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One urn contains one blue ball (labeled b1) and three red balls (labeled r1, r2, and r3). a second urn contains two red balls (r
Flura [38]

Answer:

12 possibilities

Step-by-step explanation:

In the first urn, we have 4 balls, and all of them are different, as they have different labels, so the group of two red balls r1 and r2 is different from the group of red balls r2 and r3.

The same thing occurs in the second urn, as all balls have different labels.

The problem is a combination problem (the group r1 and r2 is the same group r2 and r1).

For the first urn, we have a combination of 4 choose 2:

C(4,2) = 4!/2!*2! = 4*3*2/2*2 = 2*3 = 6 possibilities

For the second urn, we also have a combination of 4 choose 2, so 6 possibilities.

In total we have 6 + 6 = 12 possibilities.

3 0
2 years ago
Read 2 more answers
Evaluate the expression:<br><br> x^2+2x−xy when x = 250 and y = −120
NikAS [45]

Answer:

33000

Step-by-step explanation:

Substituting 250 for x and -120 for y, we get:

(250)^2 + 2(250) - (250)(120)  =  62500 + 500 - 30000, or

32500 + 500, or 33000

5 0
3 years ago
The condition proves that triangle ABC and triangle EFG are congruent by the SAS criterion. If AB does not equal EF the criterio
andrezito [222]
If AB ≠ EF, the criterion for congruency is violated. In this situation, angle C angle G are not equal :
angle C ≠ angle G
5 0
3 years ago
P(A)* P(B)≠ p(AnB)<br><br> Why does it contain a not equal to sign
RoseWind [281]

Answer:

P(A|D) and P(D|A) from the table above are not equal because P(A|D) =  and P(D|A) =

Step-by-step explanation:

Conditional probability is the probability of one event occurring  with some relationship to one or more other events

.

P(A|D) is called the "Conditional Probability" of A given D

P(D|A) is called the "Conditional Probability" of D given A

The formula for conditional probability of P(A|D) = P(D∩A)/P(D)

The formula for conditional probability of P(D|A) = P(A∩D)/P(A)

The table

              ↓         ↓       ↓

           :  C     :   D    : Total

→ A      :  6     :    2    :   8

→ B      :  1      :    8    :   9

→Total :  7     :    10  :  17

∵ P(A|D) = P(D∩A)/P(D)

∵ P(D∩A) = 2 ⇒ the common of D and A

- P(D) means total of column D

∵ P(D) = 10

∴ P(A|D) =

∵ P(D|A) = P(A∩D)/P(A)

∵ P(A∩D) = 2 ⇒ the common of A and D

- P(A) means total of row A

∵ P(A) = 8

∴ P(D|A) =

∵ P(A|D) =

∵ P(D|A) =

∵   ≠  

∴ P(A|D) and P(D|A) from the table above are not equal

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The length of an object is measured as 45.8 centimeters. What is this measurement in scientific notation?
inna [77]

Answer:

4.58 * 10 cms.

Step-by-step explanation:

The general form for scientific notation is

N * 10^n      (where 1 ≤ N < 10 and n = an integer).

45.8 = 4.58 * 10^1  or 4.58 * 10.

6 0
2 years ago
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