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Nutka1998 [239]
2 years ago
10

Which of the following is equivalent to the expression below? 9^10*9^x

Mathematics
2 answers:
muminat2 years ago
6 0

Answer:

Step-by-step explanation:

a^{m}*a^{n}=a^{m+n}\\\\9^{10}*9^{x}=9^{10+x}

In exponent multiplication, if the bases are same then add the exponents.

liraira [26]2 years ago
6 0

\small \sf \leadsto 9 {}^{10 +x}

Step-by-step explanation:

Using exponent's product rule

\small \sf \: x {}^{n}  \times x {}^{m}  = x {}^{n + m}

\small \sf  \leadsto \: 9 {}^{10}  \times 9 {}^{x}

\small \sf \leadsto 9 {}^{10 + x}

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Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.
Igoryamba

For two shots Pedro has four outcomes:

<u>1 shot | 2 shot</u>

score | score

score | not score

not score | score

not score | not score

The probability Pedro's shot will score in a lacrosse game is 0.30 and the probability his shot will not score in a lacrosse game is 1-0.30=0.70. So you can count probabilities for all cases:

1. 0.3·0.3=0.09;

2. 0.3·0.7=0.21;

3. 0.7·0.3=0.21;

4. 0.7·0.7=0.49.

In total 0.09+0.21+0.21+0.49=1. The first outcomes is that what you need.

Answer: 0.09.

8 0
2 years ago
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A volleyball reaches its maximum of 13 feet, 3 seconds after it is served. What quadratic formula could model the height of the
Katena32 [7]

Answer:

H=-(t-3)^2+13

Step-by-step explanation:

The path covered by the volleyball will be a downward parabola with the vertex being the highest point of the ball.

A general form of a downward parabola is given as:

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

Where (h,k) is the vertex of the parabola and 'a' is a constant.

Now, let 'h' be the vertical height and 't' be the time taken.

So, the equation would be of the form:

H=-a(t-h)^2+k

Now, as per question:

h = 2 seconds, k = 13 feet.

H=-a(t-3)^2+13

Now, taking a = 1. So, the formula that can be used is:

H=-(t-3)^2+13

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3 years ago
Makoto rolled a fair number cube 4 times and it landed on 6 every time. If he tosses the cube a fifth time, what is the probabil
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A bag contains three marbles, eight blue marbles and nine red marbles. If the marbles are picked at random, what is the probabil
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The probability of obtaining two blue marbles without replacement is equal to 0.15.

We are given that:

The number of yellow marbles = 3

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Total marbles = 3 + 9 + 8

Total marbles = 20

Now, we have to calculate the probability of obtaining two blue marbles without replacement.

The probability will be:

P( obtaining two blue marbles without replacement )  = 8 / 20 × 7 / 19

P( obtaining two blue marbles without replacement )  = 56 / 380

P( obtaining two blue marbles without replacement )  = 0.15

Therefore, the probability of obtaining two blue marbles without replacement is equal to 0.15.

Learn more about probability here:

brainly.com/question/24756209

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5 0
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<h3>Answer-</h3>

I think 11 is the median for the data.

8 0
2 years ago
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