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3 years ago

6

A simulation of solar activity based on NASA studies shows that the sun experiences a major solar flare once every 12 years. Abo

ut how many major solar flares are expected to occur in a century? 5 8 9 12

1 answer:

Sunny_sXe [5.5K]3 years ago

7 0

8 flares are most likely to occur in one century. However, the answer is 8.33, so take that into account.

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Evaluate a^2b^2? when a = 5 and b = 3.

kvasek [131]

Answer:

$D) 7$

Step-by-step explanation:

$a^{2} -2b^{2}$

$a=5$

$b=3$

$\left(5\right)^2-2\left(3\right)^2$

Calculate 5 to the power of 2 and get 25:-

$25-2\times 3^{2}$

Calculate 3 to the power of 2 to get 9 and then multiply 2 and 9 to get 18:-

$25-18$

$=7$

<u>OAmalOHopeO</u>

5 0

3 years ago

X²+Y²=250 and XY=117<br> What are the values of X and Y?

yan [13]

Answer:

<h3> x = -9, y = -13 </h3><h3> or x = 13, y = 9</h3><h3> or x = -13, y = -9</h3><h3> or x = 9, y = 13</h3>

Step-by-step explanation:

$x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}$

$y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9$

6 0

4 years ago

GUYSSSSS important question<br><br> whats 9 plus 10 (whoever gets this gets brainliest)

rusak2 [61]

Answer: 21 :D

Step-by-step explanation:

5 0

3 years ago

Elizabeth brought a box of donuts to share. There are two dozen (24) donuts in the box, all identical in size shape and color. T

atroni [7]

Answer:

The probability of selecting two jelly filled donuts in a row is 1.08%.

Step-by-step explanation:

Since Elizabeth brought a box of donuts to share, and there are two dozen (24) donuts in the box, all identical in size shape and color, of which 3 are jelly filled, 6 are lemon filled and 15 are custard filled, and you randomly select one donut eat it and select another donut, to find the probability of selecting two jelly filled donuts in a row the following calculation must be performed:

3/24 x 2/23 = X

0.125 x 0.086 = X

0.01086 = X

Therefore, the probability of selecting two jelly filled donuts in a row is 1.08%.

5 0

3 years ago

Which of the following sets represents the domain of the function shown?

Kobotan [32]

"2, 4 5, 11" is the one set among the following choices given in the question that represents <span>the domain of the function shown. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.</span>

8 0

4 years ago