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3 years ago

Scientific notation question.

Mathematics

1 answer:

Fynjy0 [20]3 years ago

8 0

Answer: The last option.

Step-by-step explanation:

1. By definition a number written in scientific notation has the following form:

$a10^{b}$

Where a is the coefficient (which is a number between 1 and 10 but not including 10) and b is the exponent (It must be an integer).

2. The decimal point of the coefficient must be wrriten after the first digit.

3. Based on this information, the number shown in the last option has the decimal point after the second digit, therefore, it is not written is scientific notation.

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Which statement(s) could be used to prove RTS TRU?

Law Incorporation [45]

all of those r correct :)

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3 years ago

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Find a polynomial function of degree 4 with − 2 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.

MArishka [77]

Degree 4 means you'll have x^4 as your leading term. Multiplicity of 3 means you have the same factor 3 times. So if x = -2, then (x + 2) = 0, so (x + 2) is used 3 times. FOIL that out 3 times and you get x^3 + 6x^2 + 12x + 8. Now multiply by (x + 0) to get a 4th degree polynomial of x^4 + 6x^3 + 12x^2 + 8x. There!

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3 years ago

9 please help with 9 10 what is P

LenaWriter [7]

Answer:

The probabilities are the same

10.

1/3

Step-by-step explanation:

Assuming the coin is fair;

The probability of getting heads in a single toss is, P(H) = 1/2

The probability of getting tails in a single toss is, P(T) = 1/2

Now, P(H,H,H) is the probability of obtaining 3 heads in the e tosses. Since each toss is independent of the others,;

P(H,H,H) = P(H)*P(H)*P(H)

= 1/2 * 1/2 * 1/2 = 1/8

On the other hand, P(H,T,H) is the probability of obtaining a head followed by a tail followed by a final head. Using the independence property;

P(H,T,H) = P(H)*P(T)*P(H)

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Therefore, P(H,H,H) = P(H,T,H)

10.

We are informed that a coin is tossed and a number cube is rolled. We are to determine the following probability;

P(heads, a number less than 5)

Assuming the coin is fair;

The probability of getting heads in a single toss is, P(H) = 1/2

Assuming the number cube is fair as well, the probability of rolling a number less than 5 is;

4/6 = 2/3

This is because there are 4 numbers less than 5, (1, 2, 3, 4) while the cube has 6 sides.

P(heads, a number less than 5), the events presented here are independent since the outcome from tossing the coin does not in any way determine the outcome from rolling the number cube. Therefore,;

P(heads, a number less than 5) = P(heads)*P(a number less than 5)

= 1/2 * 2/3 = 1/3

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3 years ago

High school math/ geometry

Tamiku [17]

Answer:

Well a triangle itself is worth 180 degrees (Inteirior angles)

your given “a” “b” and you need to find c.

So you can subtract

A is 50

B is 55

<BCA= 180- 55-50

Is the answer (b)

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2 years ago

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The graph of y =(x-3)^2 is shifted left 4 units and down 2 units. What is the axis of

Naddik [55]

Answer:

x = -1

Step-by-step explanation:

The axis of symmetry of the graph $y=(x-3)^2$ is x=3 but,

If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:

$x=3-4\\x=-1$

-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is

(-1 , -2) I attached an image so you can visualize clearly

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