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3 years ago

What is simply ford -4n^0 × 3n^-2

Mathematics

1 answer:

Paha777 [63]3 years ago

6 0

<span>-4n^0 × 3n^-2
= -4(1) </span>× 3n^-2
= -4× 3n^-2
= -12 n^-2
= -12/n^2

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What is the distance between point A(2,9) and B(-2,6)

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Answer:

The distance among those points is 5 units

Step-by-step explanation:

See the picture please

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3 years ago

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The answer is............ 9x+6

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You picked two marbles from a bag and record their color. How can you make your selections independent events? Dependent events?

olga55 [171]

Answer:

Let's suppose the next case:

We have a bag, where there are 5 red marbles, and 5 blue marbles.

We have a total of 10 marbles.

Suppose that we pick a marble and we do not replace it, and suppose that the first one is a red marble.

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P = 5/9

Now, suppose that instead of a red marble in the first pick, we had a blue marble.

Then now we have 4 blue marbles and 5 red marbles in the bag.

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P = 4/9

Then the first pick does affect the probabilities for the second pick, this means that if we do not replace the first marble we pick, then the events will be dependent.

Now, if we replaced the first marble we picked (we put it again in the bag) then the number of blue marbles and red marbles is always the same, then in this case bot events will be independent (the first event will not affect the second event)

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3 years ago

Write the equation for the quadratic function in standard form

Ede4ka [16]

Answer:

$y=x^2+6x+7$

Step-by-step explanation:

To write the quadratic in standard form, begin by writing it in vertex form

$y = a(x-h)^2+k$

Where (h,k) is the vertex of the parabola.

Here the vertex is (-3,-2). Substitute and write:

$y=a(x--3)^2+-2\\y=a(x+3)^2-2$

To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (0,7) a y-intercept of the parabola.

$7=a((0)+3)^2-2\\7=a(3)^2-2\\7=9a-2\\9=9a\\1=a$

The vertex form of the equation is $y=(x+3)^2-2$ .

To write in standard form, convert vertex form through the distributive property.

$y=(x+3)^2-2\\y=(x^2+6x+9)-2\\y=x^2+6x+7$

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3 years ago

Starting at a fixed time, each car entering an intersection is observed to see whether it turns left (L), right (R), or goes str

docker41 [41]

Answer:

The possible X values are the natural numbers.

RRL: X=3

AARRL: X=5

AARL: X=4

RRAL: X=4

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Step-by-step explanation:

Since we are going to observe the cars and the experiment will end when one of them turns left, and X is the number of cars observed, the possible X values will be the natural numbers (1,2,3....). Clearly we can observe any number of cars before one of them turns left. We cannot observe negative numbers of cars, or zero cars (We are going to observe at least one car), or fractions of cars.

Given the outcomes below, find their associated X values:

For this part of the problem, we are going to count how many cars we observed in total and that will be the X value.

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RRAL: X=4

ARL: X=3

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3 years ago