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2 years ago

Find the next number in the sequence 10,37,82,145,226

1 answer:

3 0

$\begin{array}{l|lll} 10&&\\ &+27\to &3^2\cdot 3\\ 37&&\\ &+45\to &3^2\cdot 5\\ 82&&\\ &+63\to &3^2\cdot 7\\ 145&&\\ &+81\to &3^2\cdot 9\\ 226&&\\ &+99\to &3^2\cdot 11\\ \boxed{325}&& \end{array}$

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Solve the system .....................

Elodia [21]

Answer:

The correct answer is first option

(2, 3)

Step-by-step explanation:

It is given that,

3y = -x + 11 and

x + 4y = 14

<u>To find the solutions</u>

The given equation can be written as,

x + 3y = 11 --------(1)

x + 4y = 14 -------(2)

Subtract (1) from (2) we get

y = 3

Substitute vale of y in eq(1)

x + 3*3 = 11

x = 11 - 9 = 2

Therefore x = 2 and y = 3

The correct answer is first option

8 0

3 years ago

Read 2 more answers

Two vertical posts stand side by side. One post is 12 feet tall while the other is 19 feet tall. If a 27 foot wire is stretched

SVETLANKA909090 [29]

Answer:

26.1 feet

Step-by-step explanation:

This question is solved using Pythagoras theorem

Pythagoras Theorem =

c² = a² + b²

c = longest side = 27 feet

One post is 12 feet tall while the other is 19 feet tall.

The vertical side = a is calculated as

19 - 12 = 7 feet.

The third side = b = how far apart they are = ?

Therefore,

27² = 7² + b²

b² = 27² - 7²

b = √27² - 7²

b = √(680)

b = 26.076809621 feet

Approximately = 26.1 feet

Therefore, the distance between the posts = 26.1 feet

8 0

3 years ago

In a game of roulette, Jorge places 170 bets of each on the number 3. A win pays off with odds 35:1 and on any one spin there is

Fudgin [204]

Answer:

An estimate of the probability that Jorge will make a profit is (5; 0.496)

Step-by-step explanation:

The total cost = 170x1 = $170

The payoff is $35 per $1 bet

The number of wins needed to make a profit = 170/35 = 4.86 \approx 5

Probability of winning, P(win), p = 1/38

n = 170

P(Jorge will make a profit) = P(at least 5 wins)

mean = np = 4.47

standard deviation = \sqrt{npq} = 2.09

P(X \geq 5) = 1 - P(X < 5)

P(X < A) = 1 - P(Z < (A - mean)/standard deviation)

After the application of continuity correction,

P(X \geq 5) = 1 - P(Z < (4.5 - 4.47)/2.09)

= 1 - P(Z < 0.01)

= 1 - 0.5040

P(X \geq 5 = 0.496

An estimate of the probability that Jorge will make a profit is (5; 0.496)

3 0

3 years ago

Read 2 more answers

Slope intercept of (2,1) and (4,0)

lutik1710 [3]

The answer to the question

3 0

3 years ago

The angle measures associated with which set of ordered pairs share the same reference angle

Trava [24]

Answer:

Option 3 is right.

Step-by-step explanation:

Reference angle of x is obtained by either 180-x, 180+x. or 360-x depending on the posiiton of terminal whether II quadrant or iv quadrant, or iii quadrant, etc.

In whatever way we find reference angles,

cos will remain cos only and sin will remain sin only there may be only changes in sign.

Of all the ordered pairs given, we find that I, II, and Iv there is a switch over form cos to sine and sin to cos. Hence these options cannot be for reference angles.

III option is $(-\frac{1}{2} ,\frac{-\sqrt{3} }{2} )(\frac{1}{2} ,\frac{\sqrt{3} }{2} )$

show that both sign and cos changed sign. This is possible only in III quadrant.

ie reference angle of orignal angle t = 180+t

SO this option is right.

7 0

3 years ago

Read 2 more answers