MATHEMATICS HIGH SCHOOL

determine the domain of the function. f(x) = sqrt 9 - x x ≤ 9 all real numbers except 9 all real numbers x > 9

Answers

Answer 1
Answer: f(x) = sqrt(9 - x)

Domain is x ≤ 9

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In a state, license plates consist of four letters and two digits. How many different plates are possible?

Answers

26^4\cdot10^2=456976\cdot100=45697600
It depends if all the letters and all the numbers are used. Possible combinations are 26x26x26x26 x10x10 =45697600.
If you leave out zero the combinations are 26x26x26x26 x9x9=37015056

Do you know how to do 5/3x 1/6 - 1

Answers

To do this multiply the top and bottom numbers together in the fraction. Which will be 5/18. Then convert 1/1 to a fraction that has the same denominator as our previous answer. To carry out the subtraction. 5/18-18/18= -13/18. This is in lowest terms

Two non-simultaneous events have an equal likelihood of occurring (50%). If the events are independent of each other, what is the probability that they will both occur?

Answers

Answer: Probability that they will both occur is 25%.

Step-by-step explanation:

Since we have given that

There are two non simultaneous events.

Probability of each event = 50%

Since both are independent to each other.

Let A and B be two events.

We need to find the probability that they will both occur i..e P(A∩B).

As we know the rule of independence of events:

P(A\cap B)=P(A).P(B)\n\nP(A\cap B)=0.5* 0.5\n\nP(A\cap B)=0.25\n\nP(A\cap B)=25\%\n

Hence, Probability that they will both occur is 25%.
25% should be the answer, let me kno if its correct

The diameter of a circle is 25cm and a chord of the same circle is 16cm. To the nearest tenth, what is the distance from the chord to the center of the circle

Answers

Answer:

  • 9.6 cm

Step-by-step explanation:

The segment from the center to the chord forms a right triangle with one leg as half the chord and hypotenuse as the radius.

Use Pythagorean to find the length of the missing leg d

  • d^2=(25/2)^2-(16/2)^2
  • d^2=(12.5)^2-(8)^2
  • d^2=92.25
  • d=√(92.25) =9.6 cm (rounded)

What is the slope (1,7), (10,1)

Answers

remember the slope formula is y2-y1 / x2-x1

If V = 12R / (r + R) , then R =

Answers

V=(12R)/(r+R)\n\nV(r+R)=12R\n\nVr+VR=12R\n\nVR-12R=-Vr\n\n(V-12)R=-Vr\ \ \ \ /:(V-12)\neq0\n\nR=(-Vr)/(V-12)\n\nR=(Vr)/(12-V)
vr+vR=12R
vr=12R-vR
vr=R(12-v)
R=vr/12-v
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