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3 years ago

Please help! Correct answer only!

Mathematics

1 answer:

bogdanovich [222]3 years ago

6 0

Answer:

<em>Expected Payoff ⇒ $ 1.50 ; Type in 1.50</em>

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

$100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars$

<em>Thus, Solution ; Expected Payoff ⇒ $ 1.50</em>

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A flea is sitting on the very tip of the minute hand on a grandfather clock. The minute hand measures 6 inches long. How far doe

12345 [234]

In one day there are 24 hours, and each hour there are 60 minutes, so the minute hand makes 24*60=1440 full circles in one day. For each circle, the tip of the minute hand travels the entire circumference, which is 2*pi*r = 2*pi*(6 inches) = 12*pi inches. Multiplying by 1440 circles per day gives a distance of:
17280*pi inches, or 54,287 inches.

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3 years ago

HIGH POINT QUESTION

Lelu [443]

Answer:

Reflection in the x-axis

Step-by-step explanation:

If the point (x, y) of the shape is rotated 180° about the origin, it will be transformed into the point (-x, -y).

If the point (-x, -y) is reflected in the Y-axis, it will be transformed into the point (x, -y). This transformation is equivalent to the reflection of (x, y) in the x-axis.

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3 years ago

Is x+y+1=0 a tangent of both y^2=4x and x^2=4y parabolas?

Lubov Fominskaja [6]

Answer:

yes

Step-by-step explanation:

The line intersects each parabola in one point, so is tangent to both.

For the first parabola, the point of intersection is ...

y^2 = 4(-y-1)

y^2 +4y +4 = 0

(y+2)^2 = 0

y = -2 . . . . . . . . one solution only

x = -(-2)-1 = 1

The point of intersection is (1, -2).

For the second parabola, the equation is the same, but with x and y interchanged:

x^2 = 4(-x-1)

(x +2)^2 = 0

x = -2, y = 1 . . . . . one point of intersection only

___

If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.

_____

Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.

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3 years ago

If y= -3x7+2x3+ x, the derivative of y with respect to x is

larisa [96]

Answer:

$\frac{dy}{dx}$ = - 21 $x^{6}$ + 6x² + 1

Step-by-step explanation:

Differentiate each term using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

Given

y = - 3 $x^{7}$ + 2x³ + x , then

$\frac{dy}{dx}$ = (7 × - 3 ) $x^{6}$ + (3 × 2)x² + (1 × 1 ) $x^{0}$

= - 21 $x^{6}$ + 6x² + 1

8 0

3 years ago

I need these numbers in scientific notation, please! Thank you!

Shkiper50 [21]

$\text{The scientific notation:}\\\\a\cdot10^k\ \text{where}\ 1\leq a$

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4 0

3 years ago