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3 years ago

If 3x² -6=y for all real numbers x, then x² - 2 =

1 answer:

34kurt3 years ago

3 0

3x² - 6 = 3(x² - 2)

If 3(x² - 2) = y, then
$\frac{3(x^2-2)}{3}= \frac{y}{3} \\ \\ x^2-2 = \frac{y}{3}$

Answer:
x² - 2 = y/3

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True or false? An obtuse triangle cannot be similar to an acute triangle.

daser333 [38]

Answer:

True

Step-by-step explanation:

an obtuse triangle is a big one, an acute triangle is a small one. They are both triangles, but they are not similar besides that

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3 years ago

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A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angula

solmaris [256]

Answer: 3,140 radians per minute.

Step-by-step explanation:

We know that the wheel does 500 revolutions per minute.

This is called the frequency of the wheel, and this is written as:

f = 500 rev/min = 500 RPM

The angular speed (or Angular velocity) is written as

ω = 2*pi*f

And this quantity is in radians/unit of time.

where pi = 3.14

then:

ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min

This means that the angular velocity (or angular speed) is 3,140 radians per minute.

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3 years ago

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Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded a

aksik [14]

Answer:

the expected value of this raffle if you buy 1 ticket = -0.65

Step-by-step explanation:

Given that :

Five thousand tickets are sold at $1 each for a charity raffle

Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $500, 3 prizes of $300, 5 prizes of $50, and 20 prizes of $5.

Thus; the amount and the corresponding probability can be computed as:

Amount Probability

$500 -$1 = $499 1/5000

$300 -$1 = $299 3/5000

$50 - $1 = $49 5/5000

$5 - $1 = $4 20/5000

-$1 1- 29/5000 = 4971/5000

The expected value of the raffle if 1 ticket is being bought is as follows:

$E(x) = \sum x * P(x)$

$E(x) = (499 * \dfrac{1}{5000} + 299 *\dfrac{3}{5000} + 49 *\dfrac{5}{5000} + 4 * \dfrac{20}{5000} + (-1 * \dfrac{4971}{5000} ))$

$E(x) = (0.0998 + 0.1794+0.049 + 0.016 + (-0.9942 ))$

$E(x) = (0.3442 -0.9942 )$

$\mathbf{E(x) = -0.65}$

Thus; the expected value of this raffle if you buy 1 ticket = -0.65

7 0

3 years ago

Can someone help me please it’s urgent what’s the answer or property of c?

alexgriva [62]

Answer:

Associative property

Step-by-step explanation:

6 0

3 years ago

Solve for b

Alex73 [517]

Answer:

b= $\sqrt{21}$

Step-by-step explanation:

Considering the given figure the sides 'b' , '2' and '5' are making the sides of a right angled triangle in the top right corner of the square, where

Hypotenuse=5 , Perpendicular=b and Base=2

Using Pythagoras Theorem:

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\$

Implementing the values in the formula:

$5^2= b^2+2^2$

$b^2=5^2-2^2\\\\b^2=25-4\\\\b^2=21\\\\b=\sqrt{21}$

So, the value of 'b' is $\sqrt{21}$ which is same for the the given 'b' in the figure.

7 0

3 years ago