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yarga [219]
2 years ago
14

Sound travels through air at about 13 of a kilometer per second. If thunder is heard 6 seconds after a flash of lightning, about

how many kilometers away was the lightning?
Mathematics
1 answer:
Margarita [4]2 years ago
8 0
If sound travels through air at around 13 of a kilometer per second, and thunder is heard 6 seconds after a flash of lightning, it would be 78ths of a kilometer. Although, I can't simplify that for you. Sorry. ^-^
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(30 POINTS AND BRAINLIEST) Show all work to solve 3x^2 + 5x − 2 = 0.
Dahasolnce [82]

Answer:

The answer to your question is:    (x + 2)(3x - 1) = 0

x1 = -2

x2 = 1/3

Step-by-step explanation:

                                           3x² + 5x − 2 = 0

Multiply 3 x -2 = -6

Find two numbers that added = +5 and multiply -6

These numbers are +6  and -1

Then:

                                           3x² + 6x -1x − 2 = 0

Factorize                           3x (x + 2) - 1(x + 2) = 0

Factorize again                (x + 2)(3x - 1) = 0

Finally

                         x + 2 = 0               3x - 1 = 0

                         x = -2                     x = 1/3

                                                   

5 0
2 years ago
A: {71,73,79,83,87} B:{57,59,61,67}
Jobisdone [24]

Answer:

\frac{3}{5}.

Step-by-step explanation:

We have been given two sets as A: {71,73,79,83,87} B:{57,59,61,67}. We are asked to find the probability that both numbers are prime, if one number is selected at random from set A, and one number is selected at random from set B.

We can see that in set A, there is only one non-prime number that is 87 as it is divisible by 3.

So there are 4 prime number in set A and total numbers are 5.

P(\text{Prime number from A})=\frac{4}{5}

We can see that in set B, there is only one non-prime number that is 57 as it is divisible by 3.

So there are 3 prime number in set B and total numbers are 4.

P(\text{Prime number from B})=\frac{3}{4}

Now, we will multiply both probabilities to find the probability that both numbers are prime. We are multiplying probabilities because both events are independent.

P(\text{Prime number from A and B})=\frac{4}{5}\times \frac{3}{4}

P(\text{Prime number from A and B})=\frac{1}{5}\times \frac{3}{1}

P(\text{Prime number from A and B})=\frac{3}{5}

Therefore, the probability that both numbers are prime would be \frac{3}{5}.

4 0
2 years ago
Verify the identity and explain how cot(x- pi/2)= -tan x
pav-90 [236]

Answer:

First, let's recall some usefull information:

- cot(x) = 1/tg(x) = cos(x)/sin(x)

- tan(x) = sin(x)/cos(x)

We also know that:

- cos(x - pi/2) = sin(x)

- sin(x - pi/2) = -cos(x)

Now we can use those relationships and get:

cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)

So we have verified the identity, and explained step by step why the identity is true.

8 0
2 years ago
What is the answer 4b-7-15b+3
Molodets [167]
Simplify

4b−7−15b+3

=4b+−7+−15b+3

Combine Like Terms:

=4b+−7+−15b+3

=(4b+−15b)+(−7+3)

=−11b−4

7 0
3 years ago
Read 2 more answers
Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian. The table shows the latit
murzikaleks [220]

Answer:

B) The temperature decreases by about 1.7° for each 1 degree increase north in latitude.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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