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Dmitry_Shevchenko [17]

3 years ago

5

2 members of the 5-member math study group will present their project to the class. How many combinations of 2 members are possi

ble from the 5-member study group?

1 answer:

klio [65]3 years ago

4 0

Answer:

2

Step-by-step explanation:

(,)=?

(,)=(5,2)

=5!(2!(5−2)!)

=5!2!×3!

= 10

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Find a number which decreased by 12 equals 3 times it’s opposite

-BARSIC- [3]

Answer:

The number is 3.

Step-by-step explanation:

To find : A number which decreased by 12 equals 3 times it’s opposite ?

Solution :

Let the number be 'x'.

It's opposite is '-x'.

A number which decreased by 12 equals 3 times it’s opposite

i.e. $x - 12 = 3(-x)$

Solving the equation,

$x-12=-3x$

$x+3x=12$

$4x=12$

$x=\frac{12}{4}$

$x=3$

Therefore, the number is 3.

4 0

3 years ago

X +9 < 9 and x +7 > 5<br> But the less than signs are less than or equal to.

Vera_Pavlovna [14]

Answer:

x<0 less than or equal to and x > -2

Step-by-step explanation:

6 0

3 years ago

Two airplanes are flying in the air at the same height. Airplane A is flying east at 300mi/h and airplane B is flying north at 2

Ipatiy [6.2K]

Answer:

$\frac{dAB}{dt}=340 mil/h$

Step-by-step explanation:

The change of distance over time of the plain A is 300 mi/hour and 200 mi/hour for plane B. O is the point of the airport.

So, the distance from A to O AO = 90 miles and BO = 120 miles.

Now, we have a right triangle here. We can use the Pythagorean theorem, so the distance between the planes will be:

$AB^{2} =AO^{2}+BO^{2}$ (1)

$AB =\sqrt{AO^{2}+BO^{2}}=$

$AB =\sqrt{90^{2}+120^{2}}=150 miles$

If we take the derivative of the equation (1) we could find the change of the distance between planes.

$2AB\frac{dAB}{dt}=2AO\frac{dAO}{dt}+2BO\frac{dBO}{dt}$

$2*150\frac{dAB}{dt}=2*90*300+2*120*200=102000 mil/h$

$\frac{dAB}{dt}=\frac{102000}{150*2}$

Finally,

$\frac{dAB}{dt}=340 mil/h$

I hope it helps you!

6 0

3 years ago

At a museum shop, Alysa bought two books for $28.50 and some cards for $3.25 each. Her total purchase came to $44.75. How many c

PSYCHO15rus [73]

Answer:

5

Step-by-step explanation:

44.75 - 28.50 = 16.25 so 16.25 divided by 3.25 equals 5 and 5 times 3.25 equals 16.25 and 16.25 plus 28.50 equals 44.75 so she bought 5 cards.

7 0

3 years ago

What equation is the inverse of y=2x^2-8?

Fynjy0 [20]

Step-by-step explanation:

To get the inverse, swap the x- and y-variables, then solve for y. We should have the equation: $x = 2y^2 - 8$

Solving for y:

$y = 2x^{2} - 8$ because $y + 8 = 2x^{2}$ or $x =\sqrt\frac{y + 8}{2}$

So on interchanging the variable, we get the equation:

$x = 2y^2 - 8$

$x + 8 = 2y^2$

$y = \sqrt\frac{x + 8}{2}$

5 0

3 years ago