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2 years ago

Which of the following options represents a logical first step that can be used

Mathematics

1 answer:

steposvetlana [31]2 years ago

3 0

Answer: Option B.

Step-by-step explanation:

Here we can start with the relation

cos(x)^2 + sin(x)^2 = 1

multiply both sides by cos(x)

cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))

now we can replace sin(x)/cos(x) = tg(x)

cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))

So the correct option is B

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leva [86]

Answer:

The answer is 4.802 × 10⁷

Step-by-step explanation:

48020000 = 4.802 × 10⁷

Thus, The answer is 4.802 × 10⁷

<u>-TheUnknownScientist</u>

3 0

3 years ago

There is a mound of g pounds of gravel in a quarry. Throughout the day, 300 pounds of gravel are added to the mound. Two orders

galina1969 [7]

Answer:

$g+300-700-700=1500, g=2600$

Step-by-step explanation:

At the start of the day there are g pounds of gravel in the quarry.

Then it says that there were 300 pounds added to the mound, so at this point the pounds of gravel in the mound are now g+300.

Then two orders of 700 pounds are sold and removed from the mound. That means they removed 700 pounds from the mound 2 times. Therefore at this point the pounds of gravel in the mound are now g+300-700-700.

Then it says that at this point, the amount of pounds in the mound are 1500. Hence we get

$g+300-700-700=1500$

To solve for g we just add 700 two times to both sides of the equation, and subtract 300 from both sides of the equation, getting:

$g+300-700-700+700+700-300=1500+700+700-300$

And so $g=2600$

4 0

3 years ago

On a piece of paper graph the system of equations. Then determine which answer choice matches the graph you drew and identify th

PSYCHO15rus [73]

Answer:

I think you meant for the plus sign in the second problem to be an = sign so the equation looks like this y=-x+4

If so your answer is A the first graph

I graphed it on desmos calculator

6 0

3 years ago

Read 2 more answers

2) Juan had $622 in his checking account. He deposited a check for $180, and $100

adoni [48]

Answer:

867

Step-by-step explanation:

622+180+100=902

902-35=867

3 0

2 years ago

You are at a European beach with 60 other visitors. 36 of them speak English. If you randomly meet two people on the beach, what

Kaylis [27]

Answer:

Assuming I'm one of the 36 English speakers and the other 24 speak Spanish for illustration purposes. The problem can be modeled as 59 marbles with 35 E and 24 S marbles as N = 59 possible outcomes = n(E) + n(S) = 35 + 24.

So I reach into the pile of marbles (on the beach) and the probability that it's p(E) = n(E)/N = 35/59 = 0.593220339 when I meet the one person. ANS

I assume I remember that first person; so I remove him from the marbles (by avoiding him on the beach) and now my probability is p(E and E) = n(E)/N * n(E)-1/(N - 1) = 35/59*34/58 = 0.347749854 ANS

Following the same logic p(E and E and E) = 35/59*34/58*33/57 = 0.201328863 ANS

This last one is different from the first three. This one is p(E >= 1|4 attempts). We can trace out a probability tree to identify those branches that contain at least one E event. So:

EEEE p() = 35/59 * 34/58 * 33/57 * 32/56 =

EEES p() = 35/59 * 34/58 * 33/57 * 24/56 =

EESE p() = 35/59 * 34/58 * 24/57 * 33/56 =

ESEE p() = 35/59 * 24/58 * 34/57 * 33/56 =

SEEE p() = 24/59 * 35/58 * 34/57 * 33/56 =

EESS p() = 35/59 * 34/58 * 24/57 * 23/56 =

ESES p() = 35/59 * 24/58 * 34/57 * 23/56 =

SEES

SESE

SSEE

ESSS And so on, but...a big BUT...why do all this when

SESS

SSES

SSSE

SSSS

p(E>=1|4) = 1 - p(S and S and S and S) = 1 - 24/59 * 23/58 * 22/57 * 21/56 = 0.976652619 ANS. In other words we find the probability of not meeting an Englishman and take 1 minus that value to find the probability of meeting at least one.

Step-by-step explanation:

3 0

2 years ago