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Sliva [168]
2 years ago
14

A big cruise ship dropped anchor off the Caribbean island of Barbuda. The heavy anchor was released from a height of

Mathematics
1 answer:
WINSTONCH [101]2 years ago
5 0

54+9= 63 m = distance and time=35 sec hence, speed= 63/35=9/5=1.8 m/s

time taken to reach water surface= distance/speed=54/1.8=30 sec

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Subtract 2x 2 - 6x - 4<br> from 4x 2 - 4x + 3.
mafiozo [28]
X subtracted from y means y-x
(4x^2-4x+3)-(2x^2-6x-4)
4x^2-4x+3-2x^2+6x+4
4x^2-2x^2-4x+6x+3+4=
2x^2+2x+7
6 0
2 years ago
Rain began failling at 2:18 . It rained for 1 hour and 36 minutes
prisoha [69]

Answer:

It stopped raining at 3:54

Step-by-step explanation:

4 0
2 years ago
Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebr
almond37 [142]

Answer:

(5, 0 )

Step-by-step explanation:

Given the 2 equations

y = x² - 2x - 15 → (1)

y = 8x - 40 → (2)

Substitute y = x² - 2x - 15 into (2)

x² - 2x - 15 = 8x - 40 ( subtract 8x - 40 from both sides )

x² - 10x + 25 = 0 ← in standard form

(x - 5)² = 0 ← in factored form, thus

x - 5 = 0 ⇒ x = 5

Substitute x = 5 into (2) for corresponding value of y

y = 8(5) - 40 = 40 - 40 = 0

Solution is (5, 0 )

3 0
3 years ago
I need help ASAP plzzzzzzzzzzzzz
n200080 [17]

Answer:

3/4

Step-by-step explanation:

Let's say that r is the radius of the large circle or the diameter of the small circle.

Area of the big circle is \pi r^{2} .

Area of the small circle is \pi \frac{r}{2} ^{2} = \pi \frac{r^{2}}{4}.

The ratio of these 2 circles is 1/4 (calculation in the comments).

So the shaded part represent 1 - 1/4 = 3/4.

3 0
3 years ago
The numerals represent cardinalities in the Venn diagram,3$6B(a) Find the cardinality of the set AB(b) Find the cardinality of t
Readme [11.4K]

a) A∩B this symbol means the intersection between A and B, in the Venn diagram, is represented by the crossing between the two circles.

According to the diagram there are 9 cardinalities shared by both circles so

A∩B= 9

b) A∪B is the union between both events, it means that you are looking for the cardinalities that are included in A or B but not both, symbolically this is:

A∪B= A + B - A∩B

The total cardinalities included in A are 5 + 9= 14

The total cardinalities included in B are 6 + 9= 15

Note that the elements in the intersection are included in both circles, meaning that they will be counted twice, this is why you have to subtract it.

A∪B= A + B - A∩B= 14 + 15 - 9= 20

c) A∩B'

B' is the complement of B, this means that it includes all elements of U that are not included in B.

If U= 23 and B= 15 then B'= U - B= 23-15= 8

The cardinalities included in A∩B'=5

d) A'∩B

A' is the complement of A and includes all cardinalities that are outside that circle.

To know how many those are you have to do the same calculation as you did in the item before:

A'= U-A= 23-14= 9

From those 9 cardinalities only 6 are shared by both A' and B so,

A'∩B=6

e) A'∩B'

A'= 9

B'= 8

A'∩B'= 9+8= 17

7 0
1 year ago
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