A diver descends 3.2m in 5min. what was his average rate of descent in metres per minute?

Answer:

The explanation is given below.

Step-by-step explanation:

Given:

Two events take place.

Let event A be flipping a coin

Let event B be rolling a 6-sided die.

Now, a coin has two faces; one is head and the other is tail.

So, the possible outcomes of event A are: {H, T}

H → Head, T → Tail.

Now, a six sided die has six faces each marked with a number. The numbers marked ranges from 1 to 6.

So, the possible outcomes of event B are {1, 2, 3, 4, 5, 6}

Now, each element of set A should match with all the elements of set B.

Now, tabular form should have a row of outcomes of B and a coum of outcomes of event A. Thus,

Outcomes          1          2       3        4         5          6  

   H                 H1         H2     H3     H4       H5      H6

   T                 T1         T2     T3        T4      T5         T6

Therefore, the organised list has the following outcomes:

H1                 T1        

H2                T2

H3                T3

H4                T4

H5                T5

H6                T6

Finally, the correct tree diagram is attached below.

can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius

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Answer:

(8, 17)

Step-by-step explanation:

y = 3x - 7,  y = 2x + 1

Substitute the second equation into the first for y.

2x + 1 = 3x - 7

8 = x

Now use 8 for x in one of the equations and solve for y.

2(8) + 1 = y

y = 17

(8, 17)

The third member of the Pythagorean triple is 28 and this can be determined by using the Pythagorean theorem.

Given :

21 and 35 are two members of a Pythagorean triple.

The following steps can be used in order to determine the third member of the Pythagorean triple:

Step 1 - The Pythagorean theorem can be used in order to determine the third member of the Pythagorean triple.

[tex]H^2 = P^2+B^2[/tex]

where the hypotenuse is H, the perpendicular is P, and the base is B of the right-angle triangle.

Step 2 - Now, substitute the value of H and P in the above expression in order to determine the value of 'B'.

[tex]35^2 = 21^2+B^2[/tex]

Step 3 - Simplify the above expression.

[tex]B^2= 784[/tex]

[tex]B = 28[/tex]

So, the third member of the Pythagorean triple is 28.

For more information, refer to the link given below:

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Answer:

Step-by-step explanation:

The range is the set of second numbers of the ordered pairs.

  {-5, 1, 4, 5}

__

The domain is the set of first numbers of the ordered pairs.

  {-5, -3, 0, 2}

__

Additional comment

It is generally convenient to write the elements of a set in sorted order.

Answer:

k

Step-by-step explanation:

Answer:

B. <

Step-by-step explanation:

Each number in the sequence is greater than the previous number so the correct answer is b. <

Answer:

5

Step-by-step explanation:

3+2x = 4x-7

3+7=4x-2x

x=5

Answer:

Let the number be x

According to given conditions,

3 + 2x = 4x - 7

3 + 7 = 4x - 2x

10 = 2x

2x = 10

•°• x = 10/2

•°• x = 5

The number is 5.

Answer:

The answer is simple. Just graph like you would any normal graph

Step-by-step explanation:

Answer:

No, it's not a solution

Step-by-step explanation:

Solve by plugging in the values x=-2 and y=2 that are from your point (-2,2):

y<3x+2    

2<3(-2)+2          

2<-4 This inequality is false, so no, it's not a solution

Answer:

not a solution

Step-by-step explanation:

y<3x+2

2<3(-2)+2..........plug in values

2<-6+2................multiply

2<-4......................add

2<-4 is false

The height of a box that has a base area of 36 sq. in. and a volume of 108 cubic inches is: 3 inches.

Recall:

The formula for the volume of a box = base area × height

Given the following dimensions:

base area of box = 36 sq. in.

Volume = 108 cubic inches.

Required: height of the box

Plug in the given values into the formula for the volume of a box

108 = 36 × height

Divide both sides by 36

height = 108/36

height = 3 inches

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Answer:

A 1/2

Step-by-step explanation:

Its a half chance since theres 6 sides so 1/2:)

Answer:

[tex]b) \frac{1}{2} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Step-by-step explanation: Find the y-intercept. Write the equation in slope-intercept form. Write an equation of the line that passes through each pair of points. 5. (4, −3), (2, 3)

y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (2,18) and (5,36).

m=36-18/5-2

=18/3=6

slope of line is 6.

Now we need to find the equation of line passing through (2,18) and (5,36).

We need to find the y intercept.

18=6(2)+c

18=12+c

18-12=c

6=c

So y intercept is 6

The equation of line is y=6x+6

Hence y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).

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Answer:

30-60-90 is a special right triangle

if the side opposite to the 30 degree angle = x,

then the side opposite to the 90 degree angle = 2x

and the side opposite to the 60 degree angle = x*sqr3

2x=14

x=7

side BC is opposite to the 30 degree angle, so it is 7 cm

side AB is opposite to the 60 degree angle, so it is 7sqr3 cm

Answer:

clearer pic?

Step-by-step explanation:

Answer:

Half of AB which is A.F is 14 then the other half is 14 as well which would have a sum of 28, and since CD is congruent to AB that will also have a sum of 28 degrees.

(I don't know how to calculate the perimeter for the second question)

Answer:

Answer: 28

Step-by-step explanation:

A+F=14 * 2 for B and since they are congruent it would be 14*2 so 28.

Answer:

I mean it would be A and D because I don't know why they are both the same answer. If 10 books were sold yesterday, at LEAST 20 are needed to make the goal.

Answer:

x=10, y=-1

Step-by-step explanation:

x-y=11

2x+y=19

3x=30

x=10

10-y=11

-y=1

y=-1

USED ELIMINATION BC THERE WAS ALREADY A Y AND -Y

Answer:

Step-by-step explanation:

A

1 pencil costs 0.40 dollars.

1 pencils cost 2 times 0.40 = .80 dollars

B

Candy     0.95

eraser     0.15

2 pencils 0.80

Total        1.90                                          Add  

C

She started with   5.00 dollars

She spent             1.90 dollars               Subtract

Here change was  3.10 dollars.

Answer:

b

Step-by-step explanation:

...

Answer: yes

Step-by-step explanation:

It is because for every x value there is a y and the x value does not repeat to any y values.

Answer:

No because the slope isnt constant, the y changes higher and higher while the x stays constant

Step-by-step explanation:

Hope this helps!:)

Answer:

1180 miles

Step-by-step explanation:

590 x 2. If 590 miles in 5 hours then in ten it would be double. 590x2=1180.

So 1180 miles

Hope this helps

Answer:

f(n)=4*2^(n-1)

f(n)=a*b^n -> 2 is the multiplier for the outputs, so b=2. 4 is the output when n=1 (all answers are to the power of n-1), so a=4

Answer:

16.8

Step-by-step explanation:

21-4.2= 16.8

Answer:

F(2b-1)=4b^2-8b+7

Step-by-step explanation:

F(x)=x^2-2x+4

F(2b-1)=(2b-1)^2-2(2b-1)+4

F(2b-1)=4b^2-8b+7

[tex]f(x) = x^2 -2x +4\\\\f(2b-1) = (2b-1)^2 -2(2b-1) +4\\\\~~~~~~~~~~~~~= (2b)^2 - 2(2b)+1 - 4b +2 +4 \\\\~~~~~~~~~~~~~=4b^2 -4b +7-4b\\\\~~~~~~~~~~~~~=4b^2 -8b +7\\[/tex]