What is a rational number

Answers

Answer 1

Answer:

A rational number is any number, positive or negative. This can be numbers including fractions, decimals, whole numbers, and so on.

As long as it is a real number it's a rational number.

In addition, any number that can be turned into a fraction is rational.

Answer 2

Answer:

Answer:

A Rational Number can be made by dividing two integers.

Step-by-step explanation:

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Given a mean of 21 and a standard deviation of 1.2, what is the z-score of 21?

Answers

zero the z score of the mean is always zero

Answer: 0

Step-by-step explanation:

I need help please with the work?

Answers

Answer with Step-by-step explanation:

m<A=m<J=20

In JOE,

80+20+m<O=180[Angles of a trinagle]

m<O=80=m<M

m<E=m<Y=80

I need help plz plz plz help me ASAP. And SHOW YOUR WORK

Answers

r= 8

C= 2,5•r+15
C= 2,5•8+15
C= 20+15
C= 35

Nina's total cost will be 35 $, £, € (i don't know which of them)

Answer:

The cost of the wristband for 8 rides is $35.

Step-by-step explanation:

The expression for the cost, C, for r rides is

C = 2.5r + 15

Since she wants to go on 8 rides, r is 8.

Substitute r with 8 in the cost equation and evaluate it.

C = 2.5r + 15

C = 2.5 * 8 + 15

C = 20 + 15

C = 35

The cost of the wristband for 8 rides is $35.

A plane leaves the airport in galisteo and flies 170 km at 68 degrees east of north; then it changes direction to fly 230 km at 36 degrees south of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane?

Answers

Answer:

4.68° south east 317.36 km

Step-by-step explanation:

We can find the angle between the two distances (vectors) because according to the diagram, we can draw two right triangles between them.

The complement of the 36 degree angle is 54 (90-36=54), and the complement of the 68 angle is 22, (90-68=22) the sum of 22 and 54 is 76. So the angle between the two distances is 76.

Then we apply the cosine law

$b^(2) =a^(2) +c^(2) -2*a*c*cosB\n \nb^(2) =230^(2) +170^(2) -2*230*170*cos(76)\n\nb=\sqrt{230^(2) +170^(2) -2*230*170*cos(76)} \n\nb=317.36 km$

then we apply the sin law

$(sin(C))/(c) =(sin(B))/(b) \n\nsin(C)=c*(sin(B))/(b)\n\nsin(C)=170*(sin(76))/(317.36)\n\nsin(C)=0.52\n\narcsin(0.52)=C=31.32\n\n$

and because in any triangle, the sum of the inside angles is equal to 180

$180=76+31.32+68+y\n\ny=180-76-31.32-68\n\ny=4.68^(o)$

180= 76+C+(68+Y)

y=180-76-C-68

So the emergency plane has to travel 317.36 km, 4.68° southeast.

Graph the line with slope 1/2 passing through the poin

Answers

Answer:

See explanation below.

Step-by-step explanation:

To make use of the tools they give you, start at the point (-5, -2) which you know is a point the line goes through, then draw a line that goes towards the right following the rule given by the slope "1/2" (rise/run) which means that every 2 units to the right, you go one unit up. so from the point -5 in x, you go to the point -3 in x, and from -2 in y you move up one unit to -1

Therefore the line joins (-5, -2) to the point (-3, -1)

how much 45% acid solution should be mixed with a 30% acid solution to make 450 ml of a 40% acid solution?

Answers

We do as follows:

let x = amount of 45% solution
y = amount of 30% solution

overall balance => x + y = 450
acid balance => .45x + .30y = .40(450)

Solving simultaneously, we will have:

x = 300 mL
y = 150 mL

This is assuming that partial molar properties does not affect the volume greatly. Hope this answers the question. Have a nice day.

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Chris went on a vacation for a week and asked his brother Paul to feed his old cat Charlie. But Paul is forgetful, and Chris is 70% sure Paul will forget to feed his cat. Without food, Charlie will die with probability 0.5.