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3 years ago

Determine if 16 is rational or irrational and give a reason for your answer.

1 answer:

6 0

16 is a rational number, this is because it is a full whole number, it can be a fraction or a ratio, for this reason we know 16 has to be rational

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Question 4:

Brilliant_brown [7]

Answer:

a. Jacques will be 46.4m below the surface and his assistant will be 78.1m below the surface.

b. 10 minutes

c. 6 minutes

Step-by-step explanation:

Let the equation for Justin's motion be J(x)=-13.9-7.5x (where J(x) is his distance from the surface in metres and x is time in minutes), because he starts off 13.9m below the surface and descends 7.5m every minutes.

Let the equation for the assistant be a(x)=-97.3=+6.4x (where a(x) is his distance from the surface in metres and x is time in minutes), because he starts off 97.3m below the surface and ascends 6.4m every minutes.

J(x)=-13.9-7.5x

J(3)=-13.9-7.5(3)=-13.9-22.5=-36.4

a(x)=-97.3=+6.4x

a(3)=-97.3+6.4(3)=-97.3+19.2=-78.1

a(x)=-97.3=+6.4x

-33.3=-97.3=+6.4x

64=6.4x

x=10

when divers are at the same depth, J(x)=a(x)

J(x)=a(x)

-13.9-7.5x=-97.3=+6.4x

83.4=13.9x

x=6

8 0

3 years ago

A line passes through the points (-1, -1)

Allisa [31]

Given:

A line passes through the points (-1, -1) and (5,8).

To find:

Which points lie on the same line?

Solution:

If a line passes through two points, then the equation of the line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:

$y-(-1)=\dfrac{8-(-1)}{5-(-1)}(x-(-1))$

$y+1=\dfrac{8+1}{5+1}(x+1)$

$y+1=\dfrac{9}{6}(x+1)$

$y+1=\dfrac{3}{2}(x+1)$

Multiply both sides by 2.

$2(y+1)=3(x+1)$

$2y+2=3x+3$

$2y=3x+3-2$

$y=\dfrac{3}{2}x+\dfrac{1}{2}$

So, the equation of the line is $y=\dfrac{3}{2}x+\dfrac{1}{2}$ .

Now, check each point for this equation.

Putting $x=-3$ , we get

$y=\dfrac{3}{2}(-3)+\dfrac{1}{2}$

$y=\dfrac{-9+1}{2}$

$y=\dfrac{-8}{2}$

$y=-4$

Similarly,

For $x=9,y=15$ .

For $x=1,y=2$ .

For $x=4,y=6.5$ .

For $x=3,y=5$ .

For $x=-2,y=-2.5$ .

Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.

6 0

3 years ago

Help it’s due today and i haven’t done it since wensday

yawa3891 [41]

Answer:

135

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Pls help me. i need it

Juli2301 [7.4K]

Answer:

option 2 is correct

Step-by-step explanation:

5 0

3 years ago

Joe owns a stock which has probability .5 of going up. This morning, he bought a ticket in a lottery game which gives him a prob

Anit [1.1K]

Answer:

The probability that Joe's stock will go up and he will win in the lottery is 0.00005.

Step-by-step explanation:

Let the events be denoted as:

X = the stock goes up

Y = Joe wins the lottery

Given:

P (X) = 0.50

P (Y) = 0.0001

The events of the stock going up is not dependent on the the event of Joe winning the lottery.

So the events X and Y are independent of each other.

Independent events are those events that can occur together at the same time.

The joint probability of two independent events A and B is,

$P(A\cap B)=P(A)\times P(B)$

Compute the value of P (X ∩ Y) as follows:

$P(X\cap Y)=P(X)\times P(Y)=0.50\times 0.0001=0.00005$

Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.

3 0

3 years ago

Read 2 more answers