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Masteriza [31]
2 years ago
9

Ramona is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of

the number cubes is divisible by 5}. List the outcomes in A ∩ B.
{1,3,5,7,9,11}
{1,5}
{3,5}
{5}
Mathematics
2 answers:
Bingel [31]2 years ago
5 0
A interesection B means similarities between the two sets.
The possible values you can get in B are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

A:
3, 5, 7, 9, 11

Therefore A intersection B = {3, 5, 7, 9, 11}


frutty [35]2 years ago
3 0

Answer: Its 5


Step-by-step explanation:


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What is the following product? Assume x greater-than-or-equal-to 0 (4 x StartRoot 5 x squared EndRoot + 2 x squared StartRoot 6
makvit [3.9K]

Answer:

D

Step-by-step explanation:

(4x√5x^2 +2x^2√6)^2 

remove the last ^2 by multiplying the parenthesis by each other:

(4x√5x^2 +2x^2√6) * (4x√5x^2 +2x^2√6)

 use FOIL & distribute :

4x√5x(4x√5x +2x^2√6) +2x^2√6(4x√5x +2x^2√6)

apply the distributive property once more:

4x^2√5(4x^2√5)+ 4x^2√5(2x^2√6) + (2x^2√6(4x^2√5) +2x^2√6(2x^2√6)

remove parenthesis and combine like terms to get:

104x^4+16x^4√30

 answer is D

4 0
2 years ago
Read 2 more answers
A 5 hour conference booking is required for an office party for 120 people which includes a buffet dinner. Hotel 5 has recently
SpyIntel [72]

Answer: I think that the cost now from hotel 5 would be $15.00.

Step-by-step explanation:

  5 hours = $5.00

  10 hours = $10.00

   15 hours = $15.00

   20 hours = $20.00

    25 hours = $25.00

5 0
2 years ago
The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x +2 y = 5x + 2
Sveta_85 [38]

Answer:

I think your functions are y=2^{x} ,y=2*5^{x} and y=2+5^{x}

If yes then then the third function which is y=2+5^{x}.

Step-by-step explanation:

The function c^{x} where c is a constant has

Domain : c\geq 0

Range : ( 0 , ∞ )

The above range is irrespective of the value of c.

I have attached the graph of each of the function, you can look at it for visualization.

  • <em>y=2^{x} ⇒ </em>This function is same as  c^{x} so its range is <em>( 0 , ∞ )</em>.
  • <em>y=2*5^{x} ⇒ </em>If we double each value of the function y=5^{x}, which has range ( 0 , ∞ ), but still the value of extremes won't change as 0*2=0 and ∞*2=∞. Therefore the range remains as <em>( 0 , ∞ )</em>.
  • <em>y=2+5^{x}</em> ⇒ If we add 2 to each value of the function y=5^{x}, which has range ( 0 , ∞ ), the lower limit will change as 0+2=2 but the upper limit will be same as ∞. Therefore the range will become as <em>( 2 , ∞ )</em>.

3 0
2 years ago
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An aquarium with a square base has no top. There is a metal frame. Glass costs 5 dollars/m2 and the frame costs 2 dollars/m. The
adell [148]

Answer:

C = 420/h + 400

Step-by-step explanation:

Let s be the side of the square base.

Let h be the height

Volume = s*h

20 = s*h

s = 20/h

Cost of glass is

5(20/h) + 5(4* h*20/h)

= 100/h + 400

Cost of frame is

2*4(20/h) + 2*4(20/h)

= 160/h + 160/h

= 320/h

Total cost = C

C = cost of glass + cost of frame

C = 100/h + 400 + 320/h

C = 420/h + 400

3 0
2 years ago
A number, x, rounded to 2 significant figures is 1300<br>Write down the error interval for x.​
nikitadnepr [17]

Answer:

[1250,1350).

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., 1250\leq x\leq 1300     ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., 1300\leq x       ...(2)

On combining (1) and (2), we get

1250\leq x < 1350

1350 is not included in the error interval for x.​

Interval notation is [1250,1350).

Therefore, the error interval for x is [1250,1350).

7 0
2 years ago
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