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ivann1987 [24]
3 years ago
5

What is the constant of proportionality in the equation y=3I

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

Answer:

31

Step-by-step explanation:

y=kx

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One option in a roulette game is to bet $ 6
Eduardwww [97]

Answer:

<h2>We have 47% of chances to win those six bucks.</h2>

Step-by-step explanation:

In this problem we need to find the probabilty of winning thos $6.

According to the problem, we win $6 if we hit one red. We know that there are 18 red compartments, 18 black compartments and 2 neither red nor blakc, for a total of 38 compartments.

We need to use the standard probabilty definition which is the ratio between the number of events and the total number of outcomes. So,

P=\frac{18}{38} \approx 0.47

Which is equivalent to 47% of chances.

Therefore, we have 47% of chances to win those six bucks. (The Casino has the odds in their favor)

5 0
3 years ago
KL = 4x +3.<br> JK = 4x + 2, and<br> JL = 45<br> Find KL.
lbvjy [14]

Answer:

KL=23

Step-by-step explanation:

We are given the length of the whole line and its two halves. Since JK and KL make up the line JL, adding them together would make the line JL.

(4x+3)+(4x+2) = 45

8x+5=45

8x=40

x=5

Now we can plug the value of x back into the expression we were given for the line KL.

4(5)+3

23

7 0
3 years ago
Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 4 units, b = 5 units, and c = 9
taurus [48]
From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.

Using pythagoras theorem,
\tan M= \frac{a}{b-x} \\ \\ M=\tan^{-1}\left(\frac{a}{b-x}\right)
and
\tan N= \frac{c}{x} \\ \\ N=\tan^{-1}\left(\frac{c}{x}\right)

Angle θ is given by
\theta=180-M-N \\  \\ =180-\tan^{-1}\left(\frac{a}{b-x}\right)-\tan^{-1}\left(\frac{c}{x}\right)

Given that a = 4 units, b = 5 units, and c = 9 units, thus
\theta=180-\tan^{-1}\left(\frac{4}{5-x}\right)-\tan^{-1}\left(\frac{9}{x}\right)

To maximixe angle θ, the differentiation of <span>θ with respect to x must be equal to zero.
i.e.
\frac{d\theta}{dx} = -\frac{4}{x^2-10x+41} + \frac{9}{x^2+81} =0 \\  \\ -4(x^2+81)+9(x^2-10x+41)=0 \\  \\ -4x^2-324+9x^2-90x+369=0 \\  \\ 5x^2-90x+45=0 \\  \\ x^2-18x+9=0 \\  \\ x=9\pm6 \sqrt{2}

Given that x is a point on line segment AB, this means that x is a positive number less than 5.

Thus
x=9-6 \sqrt{2}=0.5147

Therefore, The distance from A of point P, so that </span>angle θ is maximum is 0.51 to two decimal places.
6 0
3 years ago
Help me, please. This is past due. It's not that hard.
jasenka [17]

The slope of the line is \frac{2}{1} (or just 2) as it rises by 2 units and runs to the left by 1 unit.

7 0
3 years ago
The scatter plot shows how the cooking time for a beef roast is related to its weight. Which statement is NOT supported by the t
Kisachek [45]

Answer:

the statement that is not supported by the trend in the scatter plot is d) each additional pound adds about one hour of cooking time.

7 0
3 years ago
Read 2 more answers
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